CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV876-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.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 05:27:35 PM UTC 2026

% Result   : Unsatisfiable 1.46s 5.68s
% Output   : CNFRefutation 32.09s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 938)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_add__nonneg__eq__0__iff_2,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_2) ).

cnf(cls_inj__on__image__iff_6,axiom,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
    | hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_6) ).

cnf(cls_inj__on__image__iff_7,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
    | hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_7) ).

cnf(cls_fun__left__comm_Ofold__graph__determ_0,axiom,
    ( X1 = X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7)
    | ~ c_Finite__Set_Ofun__left__comm(X3,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__graph__determ_0) ).

cnf(cls_setsum__mono3_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(X2,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1(X3,X5,X2,X4,X1))))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__mono3_1) ).

cnf(cls_setsum__mono2_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(X2,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1(X3,X5,X2,X4,X1))))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__mono2_1) ).

cnf(cls_image__subset__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | ~ hBOOL(c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4)),X5,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_2) ).

cnf(cls_image__subsetI_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | ~ hBOOL(c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4)),X5,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subsetI_1) ).

cnf(cls_comm__monoid__add_Ofold__graph__permute__diff_0,axiom,
    ( c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1),X5,X1,X1)
    | hBOOL(c_in(X3,X4,X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(c_in(X2,X4,X1))
    | ~ c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X5,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofold__graph__permute__diff_0) ).

cnf(cls_ab__semigroup__mult_Ofold__graph__permute__diff_0,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5),X6,X5,X5)
    | hBOOL(c_in(X3,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X6,X5,X5)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold__graph__permute__diff_0) ).

cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7)
    | ~ hBOOL(c_in(X4,X3,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_H_Ointros_I2_J_0) ).

cnf(cls_Diff1__fold__graph_0,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
    | ~ hBOOL(c_in(X4,X3,X6))
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff1__fold__graph_0) ).

cnf(cls_inj__on__image__iff_4,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4))
    | hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4))) = hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4)))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_4) ).

cnf(cls_inj__on__image__iff_5,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_5) ).

cnf(cls_fun__left__comm_Ofold__insert__aux_2,axiom,
    ( hBOOL(c_in(X7,X3,X5))
    | c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X7,X3,X5),hAPP(hAPP(X1,X7),X4),X5,X6)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X6)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__insert__aux_2) ).

cnf(cls_comm__monoid__add_Ofold__graph__insert__swap_0,axiom,
    ( c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,X4,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X5),X1,X1)
    | hBOOL(c_in(X3,X4,X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X5,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofold__graph__insert__swap_0) ).

cnf(cls_ab__semigroup__mult_Ofold__graph__insert__swap_0,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X2),X6),X5,X5)
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X6,X5,X5)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold__graph__insert__swap_0) ).

cnf(cls_fold__graph_OinsertI_0,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_OinsertI_0) ).

cnf(cls_card__Diff2__less_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ hBOOL(c_in(X4,X1,X3))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff2__less_0) ).

cnf(cls_finite__subset__image_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),tc_fun(X4,tc_bool)),X1))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X5,tc_bool)),c_Set_Oimage(X3,X1,X4,X5)))
    | ~ c_Finite__Set_Ofinite(X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__image_0) ).

cnf(cls_image__Int__subset_0,axiom,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),tc_fun(X5,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).

cnf(cls_fun__left__comm_Ofold__equality_0,axiom,
    ( c_Finite__Set_Ofold(X1,X2,X3,X4,X5) = X6
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X6,X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__equality_0) ).

cnf(cls_image__diff__subset_0,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).

cnf(cls_fold__inf__le__inf_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2)))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(c_in(X4,X3,X1))
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__inf__le__inf_0) ).

cnf(cls_empty__fold__graphE_0,axiom,
    ( X1 = X2
    | ~ c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__fold__graphE_0) ).

cnf(cls_fold__graph__imp__finite_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph__imp__finite_0) ).

cnf(cls_setsum__mono2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1(X3,X5,X2,X4,X1),c_HOL_Ominus__class_Ominus(X5,X3,tc_fun(X4,tc_bool)),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__mono2_0) ).

cnf(cls_setsum__mono3_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1(X3,X5,X2,X4,X1),c_HOL_Ominus__class_Ominus(X5,X3,tc_fun(X4,tc_bool)),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__mono3_0) ).

cnf(cls_card__bij__eq_0,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X5,X3,X4,X2),tc_fun(X2,tc_bool)),X1))
    | ~ c_Fun_Oinj__on(X5,X3,X4,X2)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X6,X1,X2,X4),tc_fun(X4,tc_bool)),X3))
    | ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__bij__eq_0) ).

cnf(cls_assms_I3_J_1,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ v_wt(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_1) ).

cnf(cls_fun__upd__twist_0,axiom,
    ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
    | X2 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__twist_0) ).

cnf(cls_image__subset__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4),X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_1) ).

cnf(cls_image__subsetI_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4),X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subsetI_0) ).

cnf(cls_weak__coinduct__image_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X4,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X5,X6,X4),tc_fun(X4,tc_bool)),hAPP(X3,c_Set_Oimage(X1,X5,X6,X4))))
    | ~ hBOOL(c_in(X2,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_weak__coinduct__image_0) ).

cnf(cls_inj__on__image__iff_2,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4),X2,X3))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_2) ).

cnf(cls_inj__on__image__iff_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4),X2,X3))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_0) ).

cnf(cls_inj__on__image__iff_3,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5),X3,X4))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_3) ).

cnf(cls_inj__on__image__iff_1,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5),X3,X4))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_1) ).

cnf(cls_image__vimage__subset_0,axiom,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),tc_fun(X4,tc_bool)),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).

cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom,
    c_Nitpick_Ofold__graph_H(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_H_Ointros_I1_J_0) ).

cnf(cls_fold__graph_OemptyI_0,axiom,
    c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_OemptyI_0) ).

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

cnf(cls_inj__image__subset__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X4,X3,X2,X5)))
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).

cnf(cls_fun__left__comm_Ofold__rec_0,axiom,
    ( c_Finite__Set_Ofold(X1,X2,X3,X4,X5) = hAPP(hAPP(X1,X6),c_Finite__Set_Ofold(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))
    | ~ hBOOL(c_in(X6,X3,X4))
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__rec_0) ).

cnf(cls_inv__into__injective_0,axiom,
    ( X5 = X6
    | hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__injective_0) ).

cnf(cls_card__Diff1__less_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff1__less_0) ).

cnf(cls_fun__left__comm_Ofold__insert__remove_0,axiom,
    ( c_Finite__Set_Ofold(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6) = hAPP(hAPP(X1,X3),c_Finite__Set_Ofold(X1,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,X6))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__insert__remove_0) ).

cnf(cls_card__Diff1__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff1__le_0) ).

cnf(cls_psubset__insert__iff_9,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_9) ).

cnf(cls_fun__upd__upd_0,axiom,
    c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).

cnf(cls_psubset__insert__iff_8,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_8) ).

cnf(cls_psubset__insert__iff_5,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_5) ).

cnf(cls_psubset__insert__iff_4,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_4) ).

cnf(cls_subset__insert__iff_4,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).

cnf(cls_fun__upd__image_0,axiom,
    ( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
    | ~ hBOOL(c_in(X2,X6,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_0) ).

cnf(cls_the__inv__into__into_0,axiom,
    ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X6))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__into_0) ).

cnf(cls_finite__subset__image_2,axiom,
    ( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X4,X5)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X5,tc_bool)),c_Set_Oimage(X2,X3,X4,X5)))
    | ~ c_Finite__Set_Ofinite(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__image_2) ).

cnf(cls_diff__single__insert_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).

cnf(cls_subset__insert__iff_3,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).

cnf(cls_vimage__subsetI_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),tc_fun(X3,tc_bool)),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).

cnf(cls_finite__subset__image_1,axiom,
    ( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X5,tc_bool)),c_Set_Oimage(X3,X1,X4,X5)))
    | ~ c_Finite__Set_Ofinite(X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__image_1) ).

cnf(cls_card__image__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4),tc_nat),c_Finite__Set_Ocard(X2,X3)))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__image__le_0) ).

cnf(cls_inj__on__insert_2,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).

cnf(cls_inj__on__fun__updI_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
    | hBOOL(c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5))
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__fun__updI_0) ).

cnf(cls_endo__inj__surj_0,axiom,
    ( c_Set_Oimage(X1,X2,X3,X3) = X2
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool)),X2))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_endo__inj__surj_0) ).

cnf(cls_card__inj__on__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X4)))
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X5,X1,X2,X4),tc_fun(X4,tc_bool)),X3))
    | ~ c_Fun_Oinj__on(X5,X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__inj__on__le_0) ).

cnf(cls_fun__left__comm_Ofold__insert_0,axiom,
    ( c_Finite__Set_Ofold(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6) = hAPP(hAPP(X1,X3),c_Finite__Set_Ofold(X1,X2,X4,X5,X6))
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__insert_0) ).

cnf(cls_inj__image__subset__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).

cnf(cls_inv__into__into_0,axiom,
    ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__into_0) ).

cnf(cls_fun__left__comm_Ofold__fun__comm_0,axiom,
    ( hAPP(hAPP(X1,X2),c_Finite__Set_Ofold(X1,X3,X4,X5,X6)) = c_Finite__Set_Ofold(X1,hAPP(hAPP(X1,X2),X3),X4,X5,X6)
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__fun__comm_0) ).

cnf(cls_fold__inf__insert_0,axiom,
    ( c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X4,X1,X1))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_Finite__Set_Ofinite(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__inf__insert_0) ).

cnf(cls_image__subset__iff_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | ~ hBOOL(c_in(X2,X5,X6))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X5,X6,X4),tc_fun(X4,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).

cnf(cls_vimage__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),tc_fun(X3,tc_bool)),c_Set_Ovimage(X1,X5,X3,X4)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__mono_0) ).

cnf(cls_image__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).

cnf(cls_subset__image__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X4,X3,X2,X5)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).

cnf(cls_psubset__insert__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | hBOOL(c_in(X2,X4,X3))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_1) ).

cnf(cls_subset__insert__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).

cnf(cls_f__the__inv__into__f_0,axiom,
    ( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_f__the__inv__into__f_0) ).

cnf(cls_assms_I2_J_0,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(hAPP(v_mgt__call,X2),X1,t_a)),c_Set_Oinsert(v_mgt(c_Option_Othe(hAPP(c_Com_Obody,X2),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I2_J_0) ).

cnf(cls_inj__on__image__Int_0,axiom,
    ( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X6))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X2,tc_bool)),X6))
    | ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__Int_0) ).

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

cnf(cls_fun__upd__image_1,axiom,
    ( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
    | hBOOL(c_in(X2,X6,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_1) ).

cnf(cls_min__max_Odistrib__sup__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1))))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Odistrib__sup__le_0) ).

cnf(cls_fun__left__comm_Ofold__insert2_0,axiom,
    ( c_Finite__Set_Ofold(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6) = c_Finite__Set_Ofold(X1,hAPP(hAPP(X1,X3),X2),X4,X5,X6)
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofold__insert2_0) ).

cnf(cls_min__max_Odistrib__inf__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1))))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Odistrib__inf__le_0) ).

cnf(cls_f__inv__into__f_0,axiom,
    ( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_f__inv__into__f_0) ).

cnf(cls_image__Int_0,axiom,
    ( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int_0) ).

cnf(cls_gt__half__sum_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gt__half__sum_0) ).

cnf(cls_inj__on__inv__into_0,axiom,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
    | ~ hBOOL(hAPP(c_lessequals(X5,tc_fun(X4,tc_bool)),c_Set_Oimage(X2,X1,X3,X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__inv__into_0) ).

cnf(cls_fun__upd__other_0,axiom,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | X6 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).

cnf(cls_fun__upd__apply_1,axiom,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | X6 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_1) ).

cnf(cls_Int__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X1,tc_bool)),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X1,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__mono_0) ).

cnf(cls_fun__upd__apply_0,axiom,
    hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).

cnf(cls_fun__upd__same_0,axiom,
    hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).

cnf(cls_inj__on__image__set__diff_0,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X6))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X6))
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_0) ).

cnf(cls_inj__image__mem__iff_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).

cnf(cls_finite__subset__induct_4,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_4) ).

cnf(cls_setsum__diff1_H_0,axiom,
    ( c_Finite__Set_Osetsum(X2,X3,X4,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X5)),c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(c_in(X5,X3,X4))
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1_H_0) ).

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

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

cnf(cls_finite__surj__inj_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X2,X3,X3)))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__surj__inj_0) ).

cnf(cls_image__set__diff_0,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__set__diff_0) ).

cnf(cls_fun__upd__idem__iff_0,axiom,
    ( hAPP(X1,X2) = X3
    | c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).

cnf(cls_inv__into__image__cancel_0,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
    | ~ hBOOL(hAPP(c_lessequals(X5,tc_fun(X3,tc_bool)),X1))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__image__cancel_0) ).

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

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

cnf(cls_finite__surj_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__surj_0) ).

cnf(cls_image__inv__f__f_0,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__inv__f__f_0) ).

cnf(cls_inv__image__comp_0,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__image__comp_0) ).

cnf(cls_inj__image__mem__iff_1,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).

cnf(cls_setsum__diff_0,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),c_Finite__Set_Osetsum(X2,X4,X5,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X5,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff_0) ).

cnf(cls_setsum__diff__nat_0,axiom,
    ( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X1,X2,X4,tc_nat),c_Finite__Set_Osetsum(X1,X3,X4,tc_nat),tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X2))
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff__nat_0) ).

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

cnf(cls_Diff__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X5,tc_fun(X3,tc_bool)),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__mono_0) ).

cnf(cls_the__inv__into__onto_0,axiom,
    ( c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3) = X1
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__onto_0) ).

cnf(cls_inj__on__the__inv__into_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__the__inv__into_0) ).

cnf(cls_setprod__diff1_0,axiom,
    ( c_Finite__Set_Osetprod(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Oinverse__class_Odivide(c_Finite__Set_Osetprod(X2,X3,X5,X1),hAPP(X2,X4),X1)
    | hAPP(X2,X4) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ hBOOL(c_in(X4,X3,X5))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__diff1_0) ).

cnf(cls_setsum__diff1__ring_0,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
    | ~ class_Ring__and__Field_Oring(X1)
    | ~ hBOOL(c_in(X4,X3,X5))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__ring_0) ).

cnf(cls_setsum__diff1_0,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ hBOOL(c_in(X4,X3,X5))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1_0) ).

cnf(cls_assms_I3_J_0,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | hBOOL(c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname))
    | ~ v_wt(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_0) ).

cnf(cls_setsum__diff1__nat_0,axiom,
    ( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X1,X2,X4,tc_nat),hAPP(X1,X3),tc_nat)
    | ~ hBOOL(c_in(X3,X2,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__nat_0) ).

cnf(cls_image__vimage__eq_0,axiom,
    c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__eq_0) ).

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

cnf(cls_le__diff__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__diff__iff_0) ).

cnf(cls_less__diff__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__diff__iff_0) ).

cnf(cls_less__half__sum_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__half__sum_0) ).

cnf(cls_card__Suc__Diff1_0,axiom,
    ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)) = c_Finite__Set_Ocard(X1,X3)
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__Diff1_0) ).

cnf(cls_finite__subset__induct_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_2) ).

cnf(cls_rangeI_0,axiom,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).

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

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

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

cnf(cls_Int__subset__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).

cnf(cls_Int__subset__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).

cnf(cls_frac__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_frac__le_0) ).

cnf(cls_frac__less_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_frac__less_0) ).

cnf(cls_frac__less2_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X5,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_frac__less2_0) ).

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

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

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

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

cnf(cls_card__insert_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(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_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert_0) ).

cnf(cls_Int__lower1_0,axiom,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower1_0) ).

cnf(cls_Int__lower2_0,axiom,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower2_0) ).

cnf(cls_card__Diff__subset__Int_0,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),X3),tc_nat)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__subset__Int_0) ).

cnf(cls_Int__greatest_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__greatest_0) ).

cnf(cls_Int__subset__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).

cnf(cls_fold__empty_0,axiom,
    c_Finite__Set_Ofold(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__empty_0) ).

cnf(cls_inj__image__eq__iff_0,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).

cnf(cls_fun__upd__idem__iff_1,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).

cnf(cls_fun__upd__triv_0,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__triv_0) ).

cnf(cls_fun__upd__idem_0,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).

cnf(cls_setprod__diff1_1,axiom,
    ( c_Finite__Set_Osetprod(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetprod(X2,X3,X5,X1)
    | hBOOL(c_in(X4,X3,X5))
    | hAPP(X2,X4) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__diff1_1) ).

cnf(cls_inj__vimage__image__eq_0,axiom,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_0) ).

cnf(cls_setsum__diff1_1,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetsum(X2,X3,X5,X1)
    | hBOOL(c_in(X4,X3,X5))
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1_1) ).

cnf(cls_finite__imageD_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,X1,X2,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageD_0) ).

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

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

cnf(cls_add__le__cancel__right_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__right_0) ).

cnf(cls_add__le__cancel__left_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__left_0) ).

cnf(cls_add__less__cancel__right_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__right_0) ).

cnf(cls_add__less__cancel__left_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__left_0) ).

cnf(cls_setsum__diff1__nat_1,axiom,
    ( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_Finite__Set_Osetsum(X1,X2,X4,tc_nat)
    | hBOOL(c_in(X3,X2,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__nat_1) ).

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

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

cnf(cls_divide__le__eq_2,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__eq_2) ).

cnf(cls_divide__less__eq_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__eq_2) ).

cnf(cls_insert__subset_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X4,X1,X2),tc_fun(X2,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).

cnf(cls_inv__f__f_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__f_0) ).

cnf(cls_inv__f__eq_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__eq_0) ).

cnf(cls_the__inv__f__f_0,axiom,
    ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__f__f_0) ).

cnf(cls_inv__into__f__f_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ hBOOL(c_in(X5,X1,X3))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__f_0) ).

cnf(cls_inv__into__f__eq_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__eq_0) ).

cnf(cls_the__inv__into__f__f_0,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ hBOOL(c_in(X5,X1,X3))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__f__f_0) ).

cnf(cls_the__inv__into__f__eq_0,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__f__eq_0) ).

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

cnf(cls_setsum__insert_0,axiom,
    ( c_Finite__Set_Osetsum(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X3)),c_Finite__Set_Osetsum(X2,X4,X5,X1))
    | hBOOL(c_in(X3,X4,X5))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__insert_0) ).

cnf(cls_eq__card__imp__inj__on_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__card__imp__inj__on_0) ).

cnf(cls_insert__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,X4,X3)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).

cnf(cls_card__Diff__insert_0,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | hBOOL(c_in(X2,X3,X4))
    | ~ hBOOL(c_in(X2,X1,X4))
    | ~ c_Finite__Set_Ofinite(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__insert_0) ).

cnf(cls_subset__singletonD_0,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).

cnf(cls_le__diff__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__diff__iff_1) ).

cnf(cls_less__diff__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__diff__iff_1) ).

cnf(cls_insert__subset_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).

cnf(cls_insert__subset_2,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_divide__le__0__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__iff_1) ).

cnf(cls_divide__less__0__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__iff_1) ).

cnf(cls_psubset__insert__iff_7,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_7) ).

cnf(cls_divide__le__0__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__iff_0) ).

cnf(cls_divide__le__0__iff_3,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__iff_3) ).

cnf(cls_divide__less__0__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__iff_0) ).

cnf(cls_divide__less__0__iff_3,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__iff_3) ).

cnf(cls_divide__right__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__right__mono_0) ).

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

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

cnf(cls_divide__strict__right__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__strict__right__mono_0) ).

cnf(cls_divide__le__0__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__iff_2) ).

cnf(cls_divide__less__0__iff_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__iff_2) ).

cnf(cls_Max__eqI_1,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ hBOOL(hAPP(c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X1),X3))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__eqI_1) ).

cnf(cls_divide__right__mono__neg_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__right__mono__neg_0) ).

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

cnf(cls_divide__strict__right__mono__neg_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__strict__right__mono__neg_0) ).

cnf(cls_divide__le__0__1__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__1__iff_0) ).

cnf(cls_divide__less__0__1__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__1__iff_0) ).

cnf(cls_psubset__insert__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X1,X2))
    | hBOOL(c_in(X4,X3,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_2) ).

cnf(cls_finite__vimageI_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__vimageI_0) ).

cnf(cls_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(c_in(X2,X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).

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

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

cnf(cls_add__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__mono_0) ).

cnf(cls_add__less__le__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__le__mono_0) ).

cnf(cls_add__le__less__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__less__mono_0) ).

cnf(cls_add__strict__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__mono_0) ).

cnf(cls_psubset__insert__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(c_in(X4,X3,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_0) ).

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

cnf(cls_min__le__iff__disj_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X4,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__le__iff__disj_0) ).

cnf(cls_min__less__iff__disj_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__disj_0) ).

cnf(cls_diff__less__mono2_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less__mono2_0) ).

cnf(cls_diff__less__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less__mono_0) ).

cnf(cls_inj__on__iff__eq__card_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__iff__eq__card_0) ).

cnf(cls_image__insert_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).

cnf(cls_subset__inj__on_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).

cnf(cls_card__image_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__image_0) ).

cnf(cls_le__iff__diff__le__0_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_1) ).

cnf(cls_less__iff__diff__less__0_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_1) ).

cnf(cls_subset__insert_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).

cnf(cls_subset__insert__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).

cnf(cls_divide__le__eq_3,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__eq_3) ).

cnf(cls_divide__less__eq_3,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__eq_3) ).

cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_0) ).

cnf(cls_even__less__0__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_even__less__0__iff_0) ).

cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_0) ).

cnf(cls_min__max_Ole__sup__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_0) ).

cnf(cls_min__max_Ole__supE_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supE_0) ).

cnf(cls_min__max_Ole__sup__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_1) ).

cnf(cls_min__max_Ole__supE_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supE_1) ).

cnf(cls_max__less__iff__conj_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__less__iff__conj_0) ).

cnf(cls_max__less__iff__conj_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__less__iff__conj_1) ).

cnf(cls_psubset__insert__iff_3,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_3) ).

cnf(cls_le__add__right__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__right__mono_0) ).

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

cnf(cls_card__Diff__singleton_0,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X3),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__singleton_0) ).

cnf(cls_finite__subset__induct_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),X3,X4))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_1) ).

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

cnf(cls_divide__le__0__iff_5,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__iff_5) ).

cnf(cls_divide__le__0__iff_4,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__iff_4) ).

cnf(cls_divide__less__0__iff_5,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__iff_5) ).

cnf(cls_divide__less__0__iff_4,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__iff_4) ).

cnf(cls_divide__nonpos__pos_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__nonpos__pos_0) ).

cnf(cls_divide__nonneg__neg_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__nonneg__neg_0) ).

cnf(cls_divide__neg__pos_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__neg__pos_0) ).

cnf(cls_divide__pos__neg_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__pos__neg_0) ).

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

cnf(cls_doubleton__eq__iff_0,axiom,
    ( X1 = X5
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).

cnf(cls_doubleton__eq__iff_1,axiom,
    ( X2 = X4
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).

cnf(cls_doubleton__eq__iff_2,axiom,
    ( X1 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).

cnf(cls_doubleton__eq__iff_3,axiom,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).

cnf(cls_psubset__insert__iff_6,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_6) ).

cnf(cls_Diff__insert2_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).

cnf(cls_card__psubset_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__psubset_0) ).

cnf(cls_add__left__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__left__mono_0) ).

cnf(cls_add__le__cancel__left_1,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__left_1) ).

cnf(cls_add__right__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__right__mono_0) ).

cnf(cls_add__le__cancel__right_1,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__le__cancel__right_1) ).

cnf(cls_add__strict__left__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__left__mono_0) ).

cnf(cls_add__less__cancel__left_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__left_1) ).

cnf(cls_add__strict__right__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__right__mono_0) ).

cnf(cls_add__less__cancel__right_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__right_1) ).

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

cnf(cls_diff__le__mono2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__mono2_0) ).

cnf(cls_diff__le__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__mono_0) ).

cnf(cls_add__nonpos__nonpos_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__nonpos__nonpos_0) ).

cnf(cls_add__neg__nonpos_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__neg__nonpos_0) ).

cnf(cls_add__nonpos__neg_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__nonpos__neg_0) ).

cnf(cls_add__neg__neg_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__neg__neg_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/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_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(c_in(X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).

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

cnf(cls_inj__on__diff_0,axiom,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).

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

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

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

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

cnf(cls_weak__coinduct_0,axiom,
    ( hBOOL(c_in(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),hAPP(X2,X4)))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_weak__coinduct_0) ).

cnf(cls_Diff__subset_0,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).

cnf(cls_finite__subset__induct_3,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4)))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_3) ).

cnf(cls_double__diff_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__diff_0) ).

cnf(cls_min__max_Ole__sup__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_2) ).

cnf(cls_min__max_Osup__least_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__least_0) ).

cnf(cls_min__max_Ole__supI_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supI_0) ).

cnf(cls_max__less__iff__conj_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__less__iff__conj_2) ).

cnf(cls_le__divide__eq_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__divide__eq_2) ).

cnf(cls_less__divide__eq_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__divide__eq_2) ).

cnf(cls_subset__insert_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).

cnf(cls_subset__insert__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).

cnf(cls_diff__less_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less_0) ).

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

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

cnf(cls_finite__Diff__insert_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff__insert_0) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_card__Diff__singleton__if_1,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
    | hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__singleton__if_1) ).

cnf(cls_divide__le__0__1__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__le__0__1__iff_1) ).

cnf(cls_divide__less__0__1__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__less__0__1__iff_1) ).

cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I20_J_0) ).

cnf(cls_subset__trans_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).

cnf(cls_psubset__subset__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__subset__trans_0) ).

cnf(cls_subset__psubset__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__psubset__trans_0) ).

cnf(cls_psubset__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__trans_0) ).

cnf(cls_zero__le__divide__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__iff_0) ).

cnf(cls_zero__le__divide__iff_3,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__iff_3) ).

cnf(cls_zero__le__divide__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__iff_2) ).

cnf(cls_zero__le__divide__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__iff_1) ).

cnf(cls_zero__less__divide__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__iff_0) ).

cnf(cls_zero__less__divide__iff_3,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__iff_3) ).

cnf(cls_zero__less__divide__iff_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__iff_2) ).

cnf(cls_zero__less__divide__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__iff_1) ).

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

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

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

cnf(cls_Min__eqI_1,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1)))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__eqI_1) ).

cnf(cls_insert__Diff__single_0,axiom,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).

cnf(cls_card__insert__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2)))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__le_0) ).

cnf(cls_diff__Suc__less_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__Suc__less_0) ).

cnf(cls_less__fun__def_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_fun(X3,X1)),X4))
    | hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,X1)),X2))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,X1)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_2) ).

cnf(cls_zero__le__divide__iff_4,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__iff_4) ).

cnf(cls_zero__less__divide__iff_4,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__iff_4) ).

cnf(cls_divide__nonneg__pos_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__nonneg__pos_0) ).

cnf(cls_divide__pos__pos_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__pos__pos_0) ).

cnf(cls_zero__le__divide__1__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__1__iff_0) ).

cnf(cls_zero__less__divide__1__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__1__iff_0) ).

cnf(cls_card__seteq_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X2,X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__seteq_0) ).

cnf(cls_subset__insertI2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).

cnf(cls_le__divide__eq_3,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X4))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__divide__eq_3) ).

cnf(cls_less__divide__eq_3,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X4))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__divide__eq_3) ).

cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_1) ).

cnf(cls_even__less__0__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_even__less__0__iff_1) ).

cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_1) ).

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

cnf(cls_finite__subset__induct_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_0) ).

cnf(cls_le__iff__diff__le__0_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_0) ).

cnf(cls_less__iff__diff__less__0_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_0) ).

cnf(cls_add__nonneg__nonneg_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__nonneg__nonneg_0) ).

cnf(cls_add__pos__nonneg_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__pos__nonneg_0) ).

cnf(cls_add__nonneg__pos_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__nonneg__pos_0) ).

cnf(cls_add__pos__pos_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__pos__pos_0) ).

cnf(cls_finite__Diff__insert_1,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff__insert_1) ).

cnf(cls_le__max__iff__disj_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X4,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__max__iff__disj_0) ).

cnf(cls_less__max__iff__disj_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X4,X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__max__iff__disj_0) ).

cnf(cls_image__constant_0,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ hBOOL(c_in(X5,X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant_0) ).

cnf(cls_zero__le__divide__iff_5,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__iff_5) ).

cnf(cls_zero__less__divide__iff_5,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__iff_5) ).

cnf(cls_min__le__iff__disj_1,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__le__iff__disj_1) ).

cnf(cls_min__max_Ole__infI1_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infI1_0) ).

cnf(cls_min__le__iff__disj_2,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__le__iff__disj_2) ).

cnf(cls_min__max_Ole__infI2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infI2_0) ).

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

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

cnf(cls_min__less__iff__disj_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__disj_1) ).

cnf(cls_min__max_Oless__infI1_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__infI1_0) ).

cnf(cls_min__less__iff__disj_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__disj_2) ).

cnf(cls_min__max_Oless__infI2_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__infI2_0) ).

cnf(cls_less__infI1_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI1_0) ).

cnf(cls_less__infI2_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI2_0) ).

cnf(cls_divide__nonpos__neg_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__nonpos__neg_0) ).

cnf(cls_divide__neg__neg_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__neg__neg_0) ).

cnf(cls_Diff__insert_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert_0) ).

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

cnf(cls_min__add__distrib__left_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__add__distrib__left_0) ).

cnf(cls_add__inf__distrib__right_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__inf__distrib__right_0) ).

cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0) ).

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

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

cnf(cls_less__imp__diff__less_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).

cnf(cls_lessThan__subset__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OlessThan(X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessThan__subset__iff_0) ).

cnf(cls_setsum__eq__0__iff_0,axiom,
    ( hAPP(X1,X4) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Osetsum(X1,X2,X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ hBOOL(c_in(X4,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__eq__0__iff_0) ).

cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_0) ).

cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_0) ).

cnf(cls_add__increasing2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__increasing2_0) ).

cnf(cls_add__increasing_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__increasing_0) ).

cnf(cls_add__strict__increasing_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__increasing_0) ).

cnf(cls_add__strict__increasing2_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__strict__increasing2_0) ).

cnf(cls_less__fun__def_1,axiom,
    ( ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,X1)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X3,X1)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_1) ).

cnf(cls_pos__add__strict_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pos__add__strict_0) ).

cnf(cls_card__Suc__eq_5,axiom,
    ( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__eq_5) ).

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

cnf(cls_Max__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Olinorder__class_OMax(X2,X1),X1),c_Finite__Set_Olinorder__class_OMax(X3,X1)))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X1,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__mono_0) ).

cnf(cls_Min__antimono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X1),c_Finite__Set_Olinorder__class_OMin(X3,X1)))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X1,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__antimono_0) ).

cnf(cls_card__Diff__subset_0,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X2,X3),tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X1))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__subset_0) ).

cnf(cls_subset__iff_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).

cnf(cls_set__rev__mp_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).

cnf(cls_subsetD_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).

cnf(cls_set__mp_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).

cnf(cls_psubsetD_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubsetD_0) ).

cnf(cls_vimage__const_0,axiom,
    ( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X4,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_0) ).

cnf(cls_Nat_Odiff__diff__eq_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__diff__eq_0) ).

cnf(cls_min__max_Oinf__greatest_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__greatest_0) ).

cnf(cls_min__max_Ole__inf__iff_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_2) ).

cnf(cls_min__max_Ole__infI_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infI_0) ).

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

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

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

cnf(cls_min__less__iff__conj_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__conj_2) ).

cnf(cls_equalityI_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X1))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).

cnf(cls_set__eq__subset_2,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X1))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).

cnf(cls_card__gt__0__iff_0,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__gt__0__iff_0) ).

cnf(cls_Max__eqI_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X2,X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__eqI_0) ).

cnf(cls_Min__eqI_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X2,X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__eqI_0) ).

cnf(cls_zero__less__diff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__diff_0) ).

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

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

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

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

cnf(cls_min__max_Ole__inf__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_0) ).

cnf(cls_min__max_Ole__infE_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infE_0) ).

cnf(cls_min__max_Ole__inf__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_1) ).

cnf(cls_min__max_Ole__infE_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__infE_1) ).

cnf(cls_min__less__iff__conj_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__conj_0) ).

cnf(cls_min__less__iff__conj_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__less__iff__conj_1) ).

cnf(cls_le__funD_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(X2,X3),X1),hAPP(X4,X3)))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X5,X1)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).

cnf(cls_min__diff__distrib__left_0,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__diff__distrib__left_0) ).

cnf(cls_add__divide__distrib_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1)),c_HOL_Oinverse__class_Odivide(X3,X4,X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__divide__distrib_0) ).

cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
    ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X4,X1)),c_Orderings_Oord__class_Omax(X3,X4,X1))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib2_0) ).

cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib1_0) ).

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

cnf(cls_max__add__distrib__left_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__add__distrib__left_0) ).

cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib2_0) ).

cnf(cls_nat__diff__split_0,axiom,
    ( hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__diff__split_0) ).

cnf(cls_doubleton__eq__iff_4,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).

cnf(cls_finite__imageI_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).

cnf(cls_card__mono_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__mono_0) ).

cnf(cls_psubset__card__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__card__mono_0) ).

cnf(cls_zero__le__divide__1__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__divide__1__iff_1) ).

cnf(cls_zero__less__divide__1__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__divide__1__iff_1) ).

cnf(cls_add__inf__distrib__left_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__inf__distrib__left_0) ).

cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0) ).

cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I23_J_0) ).

cnf(cls_injD_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_injD_0) ).

cnf(cls_Diff__insert__absorb_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
    | hBOOL(c_in(X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).

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

cnf(cls_diff__less__Suc_0,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Suc(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less__Suc_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(c_in(X1,X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).

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

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

cnf(cls_min__max_Oinf__le1_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__le1_0) ).

cnf(cls_min__max_Oinf__le2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X3))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__le2_0) ).

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

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

cnf(cls_inf__sup__ord_I2_J_0,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X3))
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).

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

cnf(cls_vimage__const_1,axiom,
    ( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X4,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).

cnf(cls_setprod__zero__iff_2,axiom,
    ( c_Finite__Set_Osetprod(X2,X4,X5,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(X2,X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__zero__iff_2) ).

cnf(cls_diff__le__self_0,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__self_0) ).

cnf(cls_image__constant__conv_1,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).

cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_1) ).

cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_1) ).

cnf(cls_less__fun__def_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,X1)),X4))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_fun(X3,X1)),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_0) ).

cnf(cls_setprod__zero_0,axiom,
    ( c_Finite__Set_Osetprod(X2,X4,X5,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(X2,X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__zero_0) ).

cnf(cls_subset__empty_1,axiom,
    hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).

cnf(cls_lessThan__subset__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OlessThan(X3,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessThan__subset__iff_1) ).

cnf(cls_subset__empty_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).

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

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

cnf(cls_of__nat__le__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__le__iff_0) ).

cnf(cls_of__nat__less__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__less__iff_0) ).

cnf(cls_finite__UNIV__card__ge__0_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)))
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UNIV__card__ge__0_0) ).

cnf(cls_subset__iff__psubset__eq_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X3,tc_bool)),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff__psubset__eq_0) ).

cnf(cls_psubset__eq_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | X1 = X3
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_2) ).

cnf(cls_psubset__eq_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_0) ).

cnf(cls_add__nonneg__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_0) ).

cnf(cls_add__nonneg__eq__0__iff_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_1) ).

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(c_in(X1,X4,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).

cnf(cls_max__diff__distrib__left_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_max__diff__distrib__left_0) ).

cnf(cls_diff__divide__distrib_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__divide__distrib_0) ).

cnf(cls_not__psubset__empty_0,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).

cnf(cls_image__constant__conv_0,axiom,
    c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).

cnf(cls_le__max__iff__disj_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__max__iff__disj_1) ).

cnf(cls_min__max_Ole__supI1_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supI1_0) ).

cnf(cls_le__max__iff__disj_2,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__max__iff__disj_2) ).

cnf(cls_min__max_Ole__supI2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__supI2_0) ).

cnf(cls_less__max__iff__disj_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__max__iff__disj_1) ).

cnf(cls_min__max_Oless__supI1_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__supI1_0) ).

cnf(cls_less__max__iff__disj_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__max__iff__disj_2) ).

cnf(cls_min__max_Oless__supI2_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oless__supI2_0) ).

cnf(cls_single__Diff__lessThan_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__Diff__lessThan_0) ).

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

cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib1_0) ).

cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__assoc_0) ).

cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I21_J_0) ).

cnf(cls_min__max_Oinf__assoc_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__assoc_0) ).

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

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

cnf(cls_class__semiring_Oadd__a_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Oadd__a_0) ).

cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I25_J_0) ).

cnf(cls_Int__absorb2_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X1,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).

cnf(cls_Int__absorb1_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X1,tc_bool)),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb1_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/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).

cnf(cls_zero__less__diff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__diff_1) ).

cnf(cls_eq__diff__iff_0,axiom,
    ( X1 = X3
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__diff__iff_0) ).

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

cnf(cls_zero__less__two_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1))))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__two_0) ).

cnf(cls_Min__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__le_0) ).

cnf(cls_le__eqI_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_1) ).

cnf(cls_le__eqI_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X5,X1),X4))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_0) ).

cnf(cls_less__eqI_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_1) ).

cnf(cls_less__eqI_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X5))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_0) ).

cnf(cls_subset__insertI_0,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

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

cnf(cls_add__cancel__21_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) = X5
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__cancel__21_0) ).

cnf(cls_empty__subsetI_0,axiom,
    hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

cnf(cls_setsum__0_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__0_0) ).

cnf(cls_setprod__1_0,axiom,
    ( c_Finite__Set_Osetprod(c_COMBK(c_HOL_Oone__class_Oone(X1),X1,X2),X3,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__1_0) ).

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

cnf(cls_of__nat__le__iff_1,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__le__iff_1) ).

cnf(cls_of__nat__less__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__less__iff_1) ).

cnf(cls_gfp__upperbound_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,X1)))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(X3,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gfp__upperbound_0) ).

cnf(cls_predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).

cnf(cls_rev__predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X1))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).

cnf(cls_of__nat__diff_0,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Oring__1(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__diff_0) ).

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

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

cnf(cls_order__less__le__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).

cnf(cls_order__le__less__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).

cnf(cls_order__less__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__trans_0) ).

cnf(cls_xt1_I8_J_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).

cnf(cls_xt1_I7_J_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).

cnf(cls_xt1_I10_J_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).

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

cnf(cls_lessThan__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessThan__iff_0) ).

cnf(cls_of__nat__0__less__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__0__less__iff_0) ).

cnf(cls_less__trans__Suc_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__trans__Suc_0) ).

cnf(cls_Max__ge_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Finite__Set_Olinorder__class_OMax(X3,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X2,X3,X1))
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__ge_0) ).

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

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

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

cnf(cls_singleton__inject_0,axiom,
    ( X1 = X3
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).

cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom,
    ( hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4) = hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__ac_I1_J_0) ).

cnf(cls_card__insert__if_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_0) ).

cnf(cls_Suc__diff__diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),c_Suc(X3),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__diff__diff_0) ).

cnf(cls_assms_I1_J_0,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(t_a,tc_bool)),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).

cnf(cls_min__max_Osup__assoc_0,axiom,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__assoc_0) ).

cnf(cls_min__max_Osup__left__commute_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__left__commute_0) ).

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

cnf(cls_vimage__UNIV_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__UNIV_0) ).

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

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

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

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

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

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

cnf(cls_insert__commute_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).

cnf(cls_finite__Int_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Int_0) ).

cnf(cls_finite__Int_1,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Int_1) ).

cnf(cls_fun__left__comm_Ofun__left__comm_0,axiom,
    ( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__left__comm_Ofun__left__comm_0) ).

cnf(cls_of__nat__less__0__iff_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__less__0__iff_0) ).

cnf(cls_less__add__one_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__add__one_0) ).

cnf(cls_add__cancel__21_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__cancel__21_1) ).

cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__left__commute_0) ).

cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I22_J_0) ).

cnf(cls_min__max_Oinf__left__commute_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__left__commute_0) ).

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

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

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

cnf(cls_diff__commute_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__commute_0) ).

cnf(cls_setsum__empty_0,axiom,
    ( c_Finite__Set_Osetsum(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__empty_0) ).

cnf(cls_setprod__empty_0,axiom,
    ( c_Finite__Set_Osetprod(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__empty_0) ).

cnf(cls_finite__subset_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset_0) ).

cnf(cls_rev__finite__subset_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__finite__subset_0) ).

cnf(cls_Diff__idemp_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).

cnf(cls_of__nat__0__less__iff_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__0__less__iff_1) ).

cnf(cls_le__maxI1_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X2,X3,X1)))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__maxI1_0) ).

cnf(cls_le__maxI2_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X2,X1)))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__maxI2_0) ).

cnf(cls_less__le__not__le_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).

cnf(cls_lessThan__iff_1,axiom,
    ( hBOOL(c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessThan__iff_1) ).

cnf(cls_finite__Diff2_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff2_0) ).

cnf(cls_inj__on__empty_0,axiom,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).

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

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

cnf(cls_Suc__diff__le_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).

cnf(cls_card__insert__if_1,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | hBOOL(c_in(X1,X2,X3))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_1) ).

cnf(cls_card__Suc__eq_4,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | c_Finite__Set_Ocard(X2,X3) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__eq_4) ).

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

cnf(cls_diff__diff__cancel_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__diff__cancel_0) ).

cnf(cls_subset__UNIV_0,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).

cnf(cls_Int__empty__left_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).

cnf(cls_diff__add__cancel_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).

cnf(cls_setsum__infinite_0,axiom,
    ( c_Finite__Set_Osetsum(X2,X3,X4,X1) = c_HOL_Ozero__class_Ozero(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__infinite_0) ).

cnf(cls_setsum__def_1,axiom,
    ( c_Finite__Set_Osetsum(X2,X3,X4,X1) = c_HOL_Ozero__class_Ozero(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__def_1) ).

cnf(cls_setprod__infinite_0,axiom,
    ( c_Finite__Set_Osetprod(X2,X3,X4,X1) = c_HOL_Oone__class_Oone(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__infinite_0) ).

cnf(cls_setprod__def_1,axiom,
    ( c_Finite__Set_Osetprod(X2,X3,X4,X1) = c_HOL_Oone__class_Oone(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__def_1) ).

cnf(cls_psubset__eq_1,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_1) ).

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/sandbox/benchmark/theBenchmark.p',cls_fun__diff__def_0) ).

cnf(cls_Suc__pred_0,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__pred_0) ).

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

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

cnf(cls_order__antisym__conv_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).

cnf(cls_less__le__not__le_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).

cnf(cls_order__less__asym_H_0,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).

cnf(cls_order__less__asym_0,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_0) ).

cnf(cls_xt1_I9_J_0,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).

cnf(cls_linorder__antisym__conv2_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).

cnf(cls_linorder__not__less_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).

cnf(cls_linorder__not__le_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).

cnf(cls_not__less__iff__gr__or__eq_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).

cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ononempty__iff_2) ).

cnf(cls_le__less__Suc__eq_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__less__Suc__eq_0) ).

cnf(cls_Max__insert_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__insert_0) ).

cnf(cls_not__less__eq_1,axiom,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),c_Suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq_1) ).

cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom,
    ( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__left__commute_0) ).

cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
    ( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__UNIV__imp__eq__UNIV_0) ).

cnf(cls_Min__insert_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Finite__Set_Olinorder__class_OMin(X3,X1))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__insert_0) ).

cnf(cls_Suc__diff__1_0,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X1
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__diff__1_0) ).

cnf(cls_Suc__pred_H_0,axiom,
    ( X1 = c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__pred_H_0) ).

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

cnf(cls_Suc__less__eq_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__less__eq_0) ).

cnf(cls_Int__UNIV__left_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).

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

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

cnf(cls_conjecture_1,negated_conjecture,
    v_uG = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

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

cnf(cls_assms_I4_J_0,axiom,
    ( v_wt(c_Option_Othe(hAPP(c_Com_Obody,X1),tc_Com_Ocom))
    | ~ hBOOL(c_in(X1,v_U,tc_Com_Opname)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I4_J_0) ).

cnf(cls_nat__less__cases_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | X3 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__cases_0) ).

cnf(cls_card__gt__0__iff_1,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__gt__0__iff_1) ).

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

cnf(cls_less__eq__Suc__le_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__Suc__le_1) ).

cnf(cls_Suc__le__eq_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__le__eq_0) ).

cnf(cls_Suc__lessD_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__lessD_0) ).

cnf(cls_Max__singleton_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__singleton_0) ).

cnf(cls_Min__singleton_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__singleton_0) ).

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

cnf(cls_Suc__mono_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__mono_0) ).

cnf(cls_less__Suc__eq__0__disj_3,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq__0__disj_3) ).

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

cnf(cls_Suc__lessI_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | c_Suc(X1) = X2
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__lessI_0) ).

cnf(cls_min__max_Osup__left__idem_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__left__idem_0) ).

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

cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__Suc__eq__diff__pred_0) ).

cnf(cls_Max__in_0,axiom,
    ( hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__in_0) ).

cnf(cls_Min__in_0,axiom,
    ( hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__in_0) ).

cnf(cls_xt1_I11_J_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).

cnf(cls_xt1_I12_J_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).

cnf(cls_order__le__less_0,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_0) ).

cnf(cls_order__less__le_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_2) ).

cnf(cls_order__le__neq__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).

cnf(cls_order__neq__le__trans_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).

cnf(cls_linorder__antisym__conv1_0,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).

cnf(cls_linorder__antisym__conv2_0,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).

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

cnf(cls_less__eq__Suc__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__Suc__le_0) ).

cnf(cls_Suc__leI_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__leI_0) ).

cnf(cls_order__less__imp__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).

cnf(cls_order__le__less_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_1) ).

cnf(cls_not__less__less__Suc__eq_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__less__Suc__eq_0) ).

cnf(cls_less__SucE_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__SucE_0) ).

cnf(cls_less__antisym_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),c_Suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__antisym_0) ).

cnf(cls_insert__absorb2_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).

cnf(cls_less__Suc__eq__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq__le_0) ).

cnf(cls_UNIV__I_0,axiom,
    hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).

cnf(cls_min__max_Oinf__left__idem_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__left__idem_0) ).

cnf(cls_inf__sup__aci_I4_J_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).

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

cnf(cls_finite__Diff2_1,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff2_1) ).

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

cnf(cls_le__SucI_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SucI_0) ).

cnf(cls_le__less__Suc__eq_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__less__Suc__eq_1) ).

cnf(cls_less__Suc__eq__le_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq__le_1) ).

cnf(cls_less__SucI_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__SucI_0) ).

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

cnf(cls_finite__insert_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_0) ).

cnf(cls_nat__less__le_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_2) ).

cnf(cls_le__eq__less__or__eq_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eq__less__or__eq_0) ).

cnf(cls_le__neq__implies__less_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__neq__implies__less_0) ).

cnf(cls_Int__UNIV__right_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__right_0) ).

cnf(cls_termination__basic__simps_I5_J_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_termination__basic__simps_I5_J_0) ).

cnf(cls_nat__less__le_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_0) ).

cnf(cls_not__one__le__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__one__le__zero_0) ).

cnf(cls_not__one__less__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__one__less__zero_0) ).

cnf(cls_min__max_Osup__absorb1_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X3,X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__absorb1_0) ).

cnf(cls_min__max_Ole__iff__sup_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X3,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_0) ).

cnf(cls_card__gt__0__iff_2,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(X1,X2)))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__gt__0__iff_2) ).

cnf(cls_min__max_Ole__iff__inf_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_0) ).

cnf(cls_min__max_Oinf__absorb2_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__absorb2_0) ).

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

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

cnf(cls_finite__Diff_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff_0) ).

cnf(cls_class__ringb_Oadd__cancel_0,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Oadd__cancel_0) ).

cnf(cls_eq__eqI_1,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_1) ).

cnf(cls_eq__eqI_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_0) ).

cnf(cls_diffs0__imp__equal_0,axiom,
    ( X2 = X1
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diffs0__imp__equal_0) ).

cnf(cls_min__max_Ole__iff__sup_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Omax(X2,X3,X1) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_1) ).

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

cnf(cls_diff__is__0__eq_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__is__0__eq_1) ).

cnf(cls_linorder__neqE__ordered__idom_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | X3 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).

cnf(cls_linorder__antisym__conv3_0,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).

cnf(cls_linorder__less__linear_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X3 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).

cnf(cls_linorder__neqE_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).

cnf(cls_not__less__iff__gr__or__eq_0,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).

cnf(cls_equalityE_0,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).

cnf(cls_subset__refl_0,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).

cnf(cls_add__right__cancel_0,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__right__cancel_0) ).

cnf(cls_add__left__cancel_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__left__cancel_0) ).

cnf(cls_add__imp__eq_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__imp__eq_0) ).

cnf(cls_min__max_Ole__iff__inf_1,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_1) ).

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

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

cnf(cls_linorder__antisym__conv1_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2))
    | hBOOL(hAPP(c_lessequals(X2,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).

cnf(cls_linorder__not__le_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).

cnf(cls_not__leE_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).

cnf(cls_linorder__not__less_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).

cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X2,X3,X1)) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__absorb_0) ).

cnf(cls_of__nat__0__le__iff_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__0__le__iff_0) ).

cnf(cls_zero__le__imp__of__nat_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__imp__of__nat_0) ).

cnf(cls_add__diff__cancel_0,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).

cnf(cls_min__max_Osup__inf__absorb_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__inf__absorb_0) ).

cnf(cls_not__less__less__Suc__eq_1,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__less__Suc__eq_1) ).

cnf(cls_not__less__eq_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq_0) ).

cnf(cls_diff__is__0__eq_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__is__0__eq_0) ).

cnf(cls_less__Suc0_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc0_0) ).

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

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

cnf(cls_empty__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Diff_0) ).

cnf(cls_Diff__UNIV_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).

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

cnf(cls_linorder__neqE__nat_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | X2 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__nat_0) ).

cnf(cls_nat__neq__iff_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | X2 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__neq__iff_0) ).

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

cnf(cls_conjecture_2,negated_conjecture,
    hBOOL(hAPP(c_lessequals(v_x,tc_fun(t_a,tc_bool)),v_uG)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_neq0__conv_1,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq0__conv_1) ).

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

cnf(cls_finite__insert_1,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_1) ).

cnf(cls_order__less__irrefl_0,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).

cnf(cls_order__less__le_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).

cnf(cls_linorder__neq__iff_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).

cnf(cls_top1I_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).

cnf(cls_le__0__eq_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__0__eq_0) ).

cnf(cls_Diff__empty_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_0) ).

cnf(cls_gr__implies__not0_0,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gr__implies__not0_0) ).

cnf(cls_not__less0_0,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less0_0) ).

cnf(cls_empty__not__insert_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

cnf(cls_insert__not__empty_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).

cnf(cls_zero__le__one_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oone__class_Oone(X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__le__one_0) ).

cnf(cls_zero__less__one_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oone__class_Oone(X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__one_0) ).

cnf(cls_COMBK__def_0,axiom,
    hAPP(c_COMBK(X1,X2,X3),X4) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).

cnf(cls_less__not__refl_0,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__not__refl_0) ).

cnf(cls_nat__less__le_1,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__less__le_1) ).

cnf(cls_diff__Suc__Suc_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__Suc__Suc_0) ).

cnf(cls_of__nat__Suc_0,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X2),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_Nat_Osemiring__1__class_Oof__nat(X2,X1))
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__Suc_0) ).

cnf(cls_min__max_Osup__commute_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X3,X1) = c_Orderings_Oord__class_Omax(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__commute_0) ).

cnf(cls_bot__least_0,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(X1),X1),X2))
    | ~ class_Orderings_Obot(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).

cnf(cls_less__Suc0_1,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc0_1) ).

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

cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).

cnf(cls_class__semiring_Oadd__c_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).

cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).

cnf(cls_min__max_Oinf__commute_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__commute_0) ).

cnf(cls_inf__sup__aci_I1_J_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).

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

cnf(cls_finite__dom__body_0,axiom,
    c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    hBOOL(hAPP(c_lessequals(v_n,tc_nat),c_Finite__Set_Ocard(v_uG,t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_class__ringb_Osubr0__iff_0,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_0) ).

cnf(cls_right__inverse__eq_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X2 = X3
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oone__class_Oone(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__inverse__eq_0) ).

cnf(cls_Diff__cancel_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).

cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | X2 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_0) ).

cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom,
    ( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X3),X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__commute_0) ).

cnf(cls_right__minus__eq_0,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).

cnf(cls_eq__iff__diff__eq__0_1,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_1) ).

cnf(cls_top__greatest_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Otop__class_Otop(X1)))
    | ~ class_Orderings_Otop(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__greatest_0) ).

cnf(cls_inf__eq__top__eq1_0,axiom,
    ( X2 = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq1_0) ).

cnf(cls_double__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__eq__0__iff_0) ).

cnf(cls_inf__eq__top__eq2_0,axiom,
    ( X3 = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq2_0) ).

cnf(cls_zero__less__Suc_0,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__Suc_0) ).

cnf(cls_gr0__conv__Suc_1,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gr0__conv__Suc_1) ).

cnf(cls_le__0__eq_1,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__0__eq_1) ).

cnf(cls_gr0I_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gr0I_0) ).

cnf(cls_order__eq__refl_0,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

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

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

cnf(cls_le0_0,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le0_0) ).

cnf(cls_less__Suc__eq_2,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq_2) ).

cnf(cls_lessI_0,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessI_0) ).

cnf(cls_divide__self__if_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__self__if_0) ).

cnf(cls_UNIV__not__empty_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_Finite__Set_Ocard(v_x,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_double__eq__0__iff_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__eq__0__iff_1) ).

cnf(cls_divide__zero_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__zero_0) ).

cnf(cls_divide__eq__eq_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__eq__eq_1) ).

cnf(cls_eq__divide__eq_2,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__divide__eq_2) ).

cnf(cls_divide__self__if_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__self__if_1) ).

cnf(cls_ab__semigroup__mult_Ofun__left__comm_0,axiom,
    ( c_Finite__Set_Ofun__left__comm(X1,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofun__left__comm_0) ).

cnf(cls_card__eq__0__iff_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__0__iff_0) ).

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

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

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

cnf(cls_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/sandbox/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).

cnf(cls_top__fun__eq_0,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).

cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
    ( X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_1) ).

cnf(cls_finite__UNIV_0,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UNIV_0) ).

cnf(cls_class__ringb_Osubr0__iff_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_1) ).

cnf(cls_add__0__left_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__0__left_0) ).

cnf(cls_comm__monoid__add_Omult__1_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1_0) ).

cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I5_J_0) ).

cnf(cls_class__semiring_Oadd__0_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Oadd__0_0) ).

cnf(cls_inf__top__left_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).

cnf(cls_divide__zero__left_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__zero__left_0) ).

cnf(cls_divide__self_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__self_0) ).

cnf(cls_right__inverse__eq_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__inverse__eq_1) ).

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

cnf(cls_diff__0__right_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__0__right_0) ).

cnf(cls_divide__1_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__1_0) ).

cnf(cls_card__empty_0,axiom,
    c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__empty_0) ).

cnf(cls_comm__monoid__add_Ofun__left__comm_0,axiom,
    ( c_Finite__Set_Ofun__left__comm(c_HOL_Oplus__class_Oplus(X1),X1,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ofun__left__comm_0) ).

cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_0) ).

cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1__right_0) ).

cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).

cnf(cls_inf__top__right_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__right_0) ).

cnf(cls_finite_OemptyI_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).

cnf(cls_diff__self_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__self_0) ).

cnf(cls_right__minus__eq_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).

cnf(cls_eq__iff__diff__eq__0_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).

cnf(cls_diff__Suc__1_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__Suc__1_0) ).

cnf(cls_min__max_Osup__idem_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__idem_0) ).

cnf(cls_min__max_Oinf__idem_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__idem_0) ).

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

cnf(cls_diff__0__eq__0_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__0__eq__0_0) ).

cnf(cls_minus__nat_Odiff__0_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).

cnf(cls_diff__self__eq__0_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__self__eq__0_0) ).

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

cnf(cls_of__nat__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Nat_Osemiring__char__0(X1)
    | c_Nat_Osemiring__1__class_Oof__nat(X2,X1) != c_Nat_Osemiring__1__class_Oof__nat(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__eq__iff_0) ).

cnf(cls_lessThan__eq__iff_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_Oord__class_OlessThan(X2,X1) != c_SetInterval_Oord__class_OlessThan(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessThan__eq__iff_0) ).

cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).

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

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

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

cnf(clsarity_fun__Orderings_Otop,axiom,
    ( class_Orderings_Otop(tc_fun(X1,X2))
    | ~ class_Orderings_Otop(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).

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

cnf(clsarity_fun__HOL_Oord,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

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

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

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

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

cnf(cls_card__eq__0__iff_2,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Ofinite(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__0__iff_2) ).

cnf(cls_of__nat__1_0,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__1_0) ).

cnf(cls_of__nat__0_0,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_of__nat__0_0) ).

cnf(cls_less__eq__Suc__le__raw_0,axiom,
    c_HOL_Oord__class_Oless(v_n,tc_nat) = c_lessequals(c_Suc(v_n),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__Suc__le__raw_0) ).

cnf(cls_inf__min_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Orderings_Oord__class_Omin(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__min_0) ).

cnf(cls_finite_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_0) ).

cnf(cls_one__neq__zero_0,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).

cnf(cls_zero__neq__one_0,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__neq__one_0) ).

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

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

cnf(cls_conjecture_0,negated_conjecture,
    c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Zero__neq__Suc_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zero__neq__Suc_0) ).

cnf(cls_nat_Osimps_I2_J_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).

cnf(cls_Suc__neq__Zero_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).

cnf(cls_nat_Osimps_I3_J_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat_Osimps_I3_J_0) ).

cnf(cls_One__nat__def_0,axiom,
    c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_One__nat__def_0) ).

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

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

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

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

cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
    class_Nat_Osemiring__char__0(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Nat_Osemiring__char__0) ).

cnf(cls_conjecture_5,negated_conjecture,
    v_wt(v_xa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).

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

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

cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).

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

cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).

cnf(clsarity_bool__Orderings_Otop,axiom,
    class_Orderings_Otop(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).

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

cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).

cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

cnf(clsarity_nat__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__mult) ).

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

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

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

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

cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).

cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).

cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ozero__neq__one) ).

cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__1) ).

cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).

cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).

cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).

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

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

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

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

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

cnf(i_0_894,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_add__nonneg__eq__0__iff_2 ).

cnf(i_0_895,axiom,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
    | hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
    cls_inj__on__image__iff_6,
    [final] ).

cnf(i_0_896,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
    | hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
    cls_inj__on__image__iff_7,
    [final] ).

cnf(i_0_897,axiom,
    ( X1 = X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7)
    | ~ c_Finite__Set_Ofun__left__comm(X3,X6,X7) ),
    cls_fun__left__comm_Ofold__graph__determ_0,
    [final] ).

cnf(i_0_898,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(X2,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1(X3,X5,X2,X4,X1))))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    cls_setsum__mono3_1,
    [final] ).

cnf(i_0_899,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(X2,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1(X3,X5,X2,X4,X1))))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    cls_setsum__mono2_1,
    [final] ).

cnf(i_0_900,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | ~ hBOOL(c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4)),X5,X4)) ),
    cls_image__subset__iff_2,
    [final] ).

cnf(i_0_901,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | ~ hBOOL(c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4)),X5,X4)) ),
    cls_image__subsetI_1,
    [final] ).

cnf(i_0_902,axiom,
    ( c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1),X5,X1,X1)
    | hBOOL(c_in(X3,X4,X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(c_in(X2,X4,X1))
    | ~ c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X5,X1,X1) ),
    cls_comm__monoid__add_Ofold__graph__permute__diff_0,
    [final] ).

cnf(i_0_903,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5),X6,X5,X5)
    | hBOOL(c_in(X3,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X6,X5,X5)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    cls_ab__semigroup__mult_Ofold__graph__permute__diff_0,
    [final] ).

cnf(i_0_904,axiom,
    ( c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
    | ~ c_Nitpick_Ofold__graph_H(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7)
    | ~ hBOOL(c_in(X4,X3,X6)) ),
    cls_fold__graph_H_Ointros_I2_J_0,
    [final] ).

cnf(i_0_905,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
    | ~ hBOOL(c_in(X4,X3,X6))
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7) ),
    cls_Diff1__fold__graph_0,
    [final] ).

cnf(i_0_906,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4))
    | hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4))) = hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4)))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
    cls_inj__on__image__iff_4,
    [final] ).

cnf(i_0_907,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
    cls_inj__on__image__iff_5,
    [final] ).

cnf(i_0_908,axiom,
    ( hBOOL(c_in(X7,X3,X5))
    | c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X7,X3,X5),hAPP(hAPP(X1,X7),X4),X5,X6)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X6)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    cls_fun__left__comm_Ofold__insert__aux_2,
    [final] ).

cnf(i_0_909,axiom,
    ( c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,X4,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X5),X1,X1)
    | hBOOL(c_in(X3,X4,X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X5,X1,X1) ),
    cls_comm__monoid__add_Ofold__graph__insert__swap_0,
    [final] ).

cnf(i_0_910,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X2),X6),X5,X5)
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X6,X5,X5)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    cls_ab__semigroup__mult_Ofold__graph__insert__swap_0,
    [final] ).

cnf(i_0_911,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7) ),
    cls_fold__graph_OinsertI_0,
    [final] ).

cnf(i_0_912,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ hBOOL(c_in(X4,X1,X3))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff2__less_0,
    [final] ).

cnf(i_0_913,axiom,
    ( hBOOL(hAPP(c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),tc_fun(X4,tc_bool)),X1))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X5,tc_bool)),c_Set_Oimage(X3,X1,X4,X5)))
    | ~ c_Finite__Set_Ofinite(X2,X5) ),
    cls_finite__subset__image_0,
    [final] ).

cnf(i_0_914,axiom,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),tc_fun(X5,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)))),
    cls_image__Int__subset_0,
    [final] ).

cnf(i_0_915,axiom,
    ( c_Finite__Set_Ofold(X1,X2,X3,X4,X5) = X6
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X6,X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X4,X5) ),
    cls_fun__left__comm_Ofold__equality_0,
    [final] ).

cnf(i_0_916,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4))),
    cls_image__diff__subset_0,
    [final] ).

cnf(i_0_917,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2)))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(c_in(X4,X3,X1))
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    cls_fold__inf__le__inf_0,
    [final] ).

cnf(i_0_918,axiom,
    ( X1 = X2
    | ~ c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5) ),
    cls_empty__fold__graphE_0,
    [final] ).

cnf(i_0_919,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6) ),
    cls_fold__graph__imp__finite_0,
    [final] ).

cnf(i_0_920,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1(X3,X5,X2,X4,X1),c_HOL_Ominus__class_Ominus(X5,X3,tc_fun(X4,tc_bool)),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    cls_setsum__mono2_0,
    [final] ).

cnf(i_0_921,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X2,X3,X4,X1),X1),c_Finite__Set_Osetsum(X2,X5,X4,X1)))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1(X3,X5,X2,X4,X1),c_HOL_Ominus__class_Ominus(X5,X3,tc_fun(X4,tc_bool)),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X5))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    cls_setsum__mono3_0,
    [final] ).

cnf(i_0_922,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X5,X3,X4,X2),tc_fun(X2,tc_bool)),X1))
    | ~ c_Fun_Oinj__on(X5,X3,X4,X2)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X6,X1,X2,X4),tc_fun(X4,tc_bool)),X3))
    | ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
    cls_card__bij__eq_0,
    [final] ).

cnf(i_0_923,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ v_wt(X2) ),
    cls_assms_I3_J_1,
    [final] ).

cnf(i_0_924,axiom,
    ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
    | X2 = X6 ),
    cls_fun__upd__twist_0,
    [final] ).

cnf(i_0_925,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4),X2,X3)) ),
    cls_image__subset__iff_1,
    [final] ).

cnf(i_0_926,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4),X2,X3)) ),
    cls_image__subsetI_0,
    [final] ).

cnf(i_0_927,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X4,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X5,X6,X4),tc_fun(X4,tc_bool)),hAPP(X3,c_Set_Oimage(X1,X5,X6,X4))))
    | ~ hBOOL(c_in(X2,X5,X6)) ),
    cls_weak__coinduct__image_0,
    [final] ).

cnf(i_0_928,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4),X2,X3))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
    cls_inj__on__image__iff_2,
    [final] ).

cnf(i_0_929,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4),X2,X3))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
    cls_inj__on__image__iff_0,
    [final] ).

cnf(i_0_930,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5),X3,X4))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
    cls_inj__on__image__iff_3,
    [final] ).

cnf(i_0_931,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5),X3,X4))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
    cls_inj__on__image__iff_1,
    [final] ).

cnf(i_0_932,axiom,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),tc_fun(X4,tc_bool)),X2)),
    cls_image__vimage__subset_0,
    [final] ).

cnf(i_0_933,axiom,
    c_Nitpick_Ofold__graph_H(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
    cls_fold__graph_H_Ointros_I1_J_0,
    [final] ).

cnf(i_0_934,axiom,
    c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
    cls_fold__graph_OemptyI_0,
    [final] ).

cnf(i_0_935,axiom,
    ( ~ hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    cls_inj__on__insert_1,
    [final] ).

cnf(i_0_936,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X4,X3,X2,X5)))
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
    cls_inj__image__subset__iff_0,
    [final] ).

cnf(i_0_937,axiom,
    ( c_Finite__Set_Ofold(X1,X2,X3,X4,X5) = hAPP(hAPP(X1,X6),c_Finite__Set_Ofold(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))
    | ~ hBOOL(c_in(X6,X3,X4))
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X4,X5) ),
    cls_fun__left__comm_Ofold__rec_0,
    [final] ).

cnf(i_0_938,axiom,
    ( X5 = X6
    | hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
    cls_inv__into__injective_0,
    [final] ).

cnf(i_0_939,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff1__less_0,
    [final] ).

cnf(i_0_940,axiom,
    ( c_Finite__Set_Ofold(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6) = hAPP(hAPP(X1,X3),c_Finite__Set_Ofold(X1,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,X6))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    cls_fun__left__comm_Ofold__insert__remove_0,
    [final] ).

cnf(i_0_941,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff1__le_0,
    [final] ).

cnf(i_0_942,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__insert__iff_9,
    [final] ).

cnf(i_0_943,axiom,
    c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
    cls_fun__upd__upd_0,
    [final] ).

cnf(i_0_944,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__insert__iff_8,
    [final] ).

cnf(i_0_945,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__insert__iff_5,
    [final] ).

cnf(i_0_946,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__insert__iff_4,
    [final] ).

cnf(i_0_947,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    cls_subset__insert__iff_4,
    [final] ).

cnf(i_0_948,axiom,
    ( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
    | ~ hBOOL(c_in(X2,X6,X4)) ),
    cls_fun__upd__image_0,
    [final] ).

cnf(i_0_949,axiom,
    ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X6))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    cls_the__inv__into__into_0,
    [final] ).

cnf(i_0_950,axiom,
    ( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X4,X5)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X5,tc_bool)),c_Set_Oimage(X2,X3,X4,X5)))
    | ~ c_Finite__Set_Ofinite(X1,X5) ),
    cls_finite__subset__image_2,
    [final] ).

cnf(i_0_951,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    cls_diff__single__insert_0,
    [final] ).

cnf(i_0_952,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4)) ),
    cls_subset__insert__iff_3,
    [final] ).

cnf(i_0_953,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),tc_fun(X3,tc_bool)),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_vimage__subsetI_0,
    [final] ).

cnf(i_0_954,axiom,
    ( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X5,tc_bool)),c_Set_Oimage(X3,X1,X4,X5)))
    | ~ c_Finite__Set_Ofinite(X2,X5) ),
    cls_finite__subset__image_1,
    [final] ).

cnf(i_0_955,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4),tc_nat),c_Finite__Set_Ocard(X2,X3)))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__image__le_0,
    [final] ).

cnf(i_0_956,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    cls_inj__on__insert_2,
    [final] ).

cnf(i_0_957,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
    | hBOOL(c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5))
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    cls_inj__on__fun__updI_0,
    [final] ).

cnf(i_0_958,axiom,
    ( c_Set_Oimage(X1,X2,X3,X3) = X2
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool)),X2))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_endo__inj__surj_0,
    [final] ).

cnf(i_0_959,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X4)))
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X5,X1,X2,X4),tc_fun(X4,tc_bool)),X3))
    | ~ c_Fun_Oinj__on(X5,X1,X2,X4) ),
    cls_card__inj__on__le_0,
    [final] ).

cnf(i_0_960,axiom,
    ( c_Finite__Set_Ofold(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6) = hAPP(hAPP(X1,X3),c_Finite__Set_Ofold(X1,X2,X4,X5,X6))
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    cls_fun__left__comm_Ofold__insert_0,
    [final] ).

cnf(i_0_961,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__image__subset__iff_1,
    [final] ).

cnf(i_0_962,axiom,
    ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
    cls_inv__into__into_0,
    [final] ).

cnf(i_0_963,axiom,
    ( hAPP(hAPP(X1,X2),c_Finite__Set_Ofold(X1,X3,X4,X5,X6)) = c_Finite__Set_Ofold(X1,hAPP(hAPP(X1,X2),X3),X4,X5,X6)
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    cls_fun__left__comm_Ofold__fun__comm_0,
    [final] ).

cnf(i_0_964,axiom,
    ( c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,c_Set_Oinsert(X3,X4,X1),X1,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X4,X1,X1))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_Finite__Set_Ofinite(X4,X1) ),
    cls_fold__inf__insert_0,
    [final] ).

cnf(i_0_965,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | ~ hBOOL(c_in(X2,X5,X6))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X5,X6,X4),tc_fun(X4,tc_bool)),X3)) ),
    cls_image__subset__iff_0,
    [final] ).

cnf(i_0_966,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),tc_fun(X3,tc_bool)),c_Set_Ovimage(X1,X5,X3,X4)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X5)) ),
    cls_vimage__mono_0,
    [final] ).

cnf(i_0_967,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X5)) ),
    cls_image__mono_0,
    [final] ).

cnf(i_0_968,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X4,X3,X2,X5)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    cls_subset__image__iff_2,
    [final] ).

cnf(i_0_969,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | hBOOL(c_in(X2,X4,X3))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3))) ),
    cls_psubset__insert__iff_1,
    [final] ).

cnf(i_0_970,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3))) ),
    cls_subset__insert__iff_0,
    [final] ).

cnf(i_0_971,axiom,
    ( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    cls_f__the__inv__into__f_0,
    [final] ).

cnf(i_0_972,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(hAPP(v_mgt__call,X2),X1,t_a)),c_Set_Oinsert(v_mgt(c_Option_Othe(hAPP(c_Com_Obody,X2),tc_Com_Ocom)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
    cls_assms_I2_J_0,
    [final] ).

cnf(i_0_973,axiom,
    ( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X6))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X2,tc_bool)),X6))
    | ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
    cls_inj__on__image__Int_0,
    [final] ).

cnf(i_0_974,axiom,
    ( hAPP(X1,X2) = X3
    | ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)) ),
    cls_vimage__singleton__eq_0,
    [final] ).

cnf(i_0_975,axiom,
    ( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
    | hBOOL(c_in(X2,X6,X4)) ),
    cls_fun__upd__image_1,
    [final] ).

cnf(i_0_976,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1))))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Odistrib__sup__le_0,
    [final] ).

cnf(i_0_977,axiom,
    ( c_Finite__Set_Ofold(X1,X2,c_Set_Oinsert(X3,X4,X5),X5,X6) = c_Finite__Set_Ofold(X1,hAPP(hAPP(X1,X3),X2),X4,X5,X6)
    | hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    cls_fun__left__comm_Ofold__insert2_0,
    [final] ).

cnf(i_0_978,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1))))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Odistrib__inf__le_0,
    [final] ).

cnf(i_0_979,axiom,
    ( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
    cls_f__inv__into__f_0,
    [final] ).

cnf(i_0_980,axiom,
    ( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
    cls_image__Int_0,
    [final] ).

cnf(i_0_981,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_gt__half__sum_0,
    [final] ).

cnf(i_0_982,axiom,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
    | ~ hBOOL(hAPP(c_lessequals(X5,tc_fun(X4,tc_bool)),c_Set_Oimage(X2,X1,X3,X4))) ),
    cls_inj__on__inv__into_0,
    [final] ).

cnf(i_0_983,axiom,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | X6 = X2 ),
    cls_fun__upd__other_0,
    [final] ).

cnf(i_0_984,axiom,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | X6 = X2 ),
    cls_fun__upd__apply_1,
    [final] ).

cnf(i_0_985,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X1,tc_bool)),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X1,tc_bool)),X4)) ),
    cls_Int__mono_0,
    [final] ).

cnf(i_0_986,axiom,
    hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
    cls_fun__upd__apply_0,
    [final] ).

cnf(i_0_987,axiom,
    hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
    cls_fun__upd__same_0,
    [final] ).

cnf(i_0_988,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X6))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X6))
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    cls_inj__on__image__set__diff_0,
    [final] ).

cnf(i_0_989,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
    cls_inj__image__mem__iff_0,
    [final] ).

cnf(i_0_990,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_4,
    [final] ).

cnf(i_0_991,axiom,
    ( c_Finite__Set_Osetsum(X2,X3,X4,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X5)),c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(c_in(X5,X3,X4))
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    cls_setsum__diff1_H_0,
    [final] ).

cnf(i_0_992,axiom,
    c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
    cls_vimage__Int_0,
    [final] ).

cnf(i_0_993,axiom,
    hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4)),
    cls_vimage__singleton__eq_1,
    [final] ).

cnf(i_0_994,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X2,X3,X3)))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__surj__inj_0,
    [final] ).

cnf(i_0_995,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    cls_image__set__diff_0,
    [final] ).

cnf(i_0_996,axiom,
    ( hAPP(X1,X2) = X3
    | c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
    cls_fun__upd__idem__iff_0,
    [final] ).

cnf(i_0_997,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
    | ~ hBOOL(hAPP(c_lessequals(X5,tc_fun(X3,tc_bool)),X1))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    cls_inv__into__image__cancel_0,
    [final] ).

cnf(i_0_998,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
    cls_vimageD_0,
    [final] ).

cnf(i_0_999,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
    cls_vimageE_0,
    [final] ).

cnf(i_0_1000,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_finite__surj_0,
    [final] ).

cnf(i_0_1001,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    cls_image__inv__f__f_0,
    [final] ).

cnf(i_0_1002,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    cls_inv__image__comp_0,
    [final] ).

cnf(i_0_1003,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    cls_inj__image__mem__iff_1,
    [final] ).

cnf(i_0_1004,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),c_Finite__Set_Osetsum(X2,X4,X5,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X5,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setsum__diff_0,
    [final] ).

cnf(i_0_1005,axiom,
    ( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X1,X2,X4,tc_nat),c_Finite__Set_Osetsum(X1,X3,X4,tc_nat),tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X2))
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    cls_setsum__diff__nat_0,
    [final] ).

cnf(i_0_1006,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_1007,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X5,tc_fun(X3,tc_bool)),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X4)) ),
    cls_Diff__mono_0,
    [final] ).

cnf(i_0_1008,axiom,
    ( c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3) = X1
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    cls_the__inv__into__onto_0,
    [final] ).

cnf(i_0_1009,axiom,
    ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    cls_inj__on__the__inv__into_0,
    [final] ).

cnf(i_0_1010,axiom,
    ( c_Finite__Set_Osetprod(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Oinverse__class_Odivide(c_Finite__Set_Osetprod(X2,X3,X5,X1),hAPP(X2,X4),X1)
    | hAPP(X2,X4) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ hBOOL(c_in(X4,X3,X5))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setprod__diff1_0,
    [final] ).

cnf(i_0_1011,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
    | ~ class_Ring__and__Field_Oring(X1)
    | ~ hBOOL(c_in(X4,X3,X5))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setsum__diff1__ring_0,
    [final] ).

cnf(i_0_1012,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ hBOOL(c_in(X4,X3,X5))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setsum__diff1_0,
    [final] ).

cnf(i_0_1013,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | hBOOL(c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname))
    | ~ v_wt(X2) ),
    cls_assms_I3_J_0,
    [final] ).

cnf(i_0_1014,axiom,
    ( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X1,X2,X4,tc_nat),hAPP(X1,X3),tc_nat)
    | ~ hBOOL(c_in(X3,X2,X4)) ),
    cls_setsum__diff1__nat_0,
    [final] ).

cnf(i_0_1015,axiom,
    c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
    cls_image__vimage__eq_0,
    [final] ).

cnf(i_0_1016,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_1017,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X1)) ),
    cls_le__diff__iff_0,
    [final] ).

cnf(i_0_1018,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X1)) ),
    cls_less__diff__iff_0,
    [final] ).

cnf(i_0_1019,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_less__half__sum_0,
    [final] ).

cnf(i_0_1020,axiom,
    ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)) = c_Finite__Set_Ocard(X1,X3)
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Suc__Diff1_0,
    [final] ).

cnf(i_0_1021,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_2,
    [final] ).

cnf(i_0_1022,axiom,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
    cls_rangeI_0,
    [final] ).

cnf(i_0_1023,axiom,
    ( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
    | ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
    cls_vimageI_0,
    [final] ).

cnf(i_0_1024,axiom,
    ( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
    | ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
    cls_vimageI2_0,
    [final] ).

cnf(i_0_1025,axiom,
    ( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
    | ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
    cls_vimage__eq_1,
    [final] ).

cnf(i_0_1026,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4))) ),
    cls_Int__subset__iff_0,
    [final] ).

cnf(i_0_1027,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X3))) ),
    cls_Int__subset__iff_1,
    [final] ).

cnf(i_0_1028,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_frac__le_0,
    [final] ).

cnf(i_0_1029,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_frac__less_0,
    [final] ).

cnf(i_0_1030,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X5,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_frac__less2_0,
    [final] ).

cnf(i_0_1031,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    cls_image__eqI_0,
    [final] ).

cnf(i_0_1032,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    cls_imageI_0,
    [final] ).

cnf(i_0_1033,axiom,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    cls_rev__image__eqI_0,
    [final] ).

cnf(i_0_1034,axiom,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    cls_image__iff_2,
    [final] ).

cnf(i_0_1035,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(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_Finite__Set_Ofinite(X2,X3) ),
    cls_card__insert_0,
    [final] ).

cnf(i_0_1036,axiom,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    cls_Int__lower1_0,
    [final] ).

cnf(i_0_1037,axiom,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X3)),
    cls_Int__lower2_0,
    [final] ).

cnf(i_0_1038,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),X3),tc_nat)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),X3) ),
    cls_card__Diff__subset__Int_0,
    [final] ).

cnf(i_0_1039,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    cls_Int__greatest_0,
    [final] ).

cnf(i_0_1040,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    cls_Int__subset__iff_2,
    [final] ).

cnf(i_0_1041,axiom,
    c_Finite__Set_Ofold(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X2,
    cls_fold__empty_0,
    [final] ).

cnf(i_0_1042,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__image__eq__iff_0,
    [final] ).

cnf(i_0_1043,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    cls_fun__upd__idem__iff_1,
    [final] ).

cnf(i_0_1044,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    cls_fun__upd__triv_0,
    [final] ).

cnf(i_0_1045,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    cls_fun__upd__idem_0,
    [final] ).

cnf(i_0_1046,axiom,
    ( c_Finite__Set_Osetprod(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetprod(X2,X3,X5,X1)
    | hBOOL(c_in(X4,X3,X5))
    | hAPP(X2,X4) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setprod__diff1_1,
    [final] ).

cnf(i_0_1047,axiom,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__vimage__image__eq_0,
    [final] ).

cnf(i_0_1048,axiom,
    ( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetsum(X2,X3,X5,X1)
    | hBOOL(c_in(X4,X3,X5))
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setsum__diff1_1,
    [final] ).

cnf(i_0_1049,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,X1,X2,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
    cls_finite__imageD_0,
    [final] ).

cnf(i_0_1050,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)) ),
    cls_IntE_0,
    [final] ).

cnf(i_0_1051,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
    cls_IntE_1,
    [final] ).

cnf(i_0_1052,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))) ),
    cls_add__le__cancel__right_0,
    [final] ).

cnf(i_0_1053,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))) ),
    cls_add__le__cancel__left_0,
    [final] ).

cnf(i_0_1054,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))) ),
    cls_add__less__cancel__right_0,
    [final] ).

cnf(i_0_1055,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))) ),
    cls_add__less__cancel__left_0,
    [final] ).

cnf(i_0_1056,axiom,
    ( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_Finite__Set_Osetsum(X1,X2,X4,tc_nat)
    | hBOOL(c_in(X3,X2,X4)) ),
    cls_setsum__diff1__nat_1,
    [final] ).

cnf(i_0_1057,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_1058,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
    cls_Int__assoc_0,
    [final] ).

cnf(i_0_1059,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1),X2)) ),
    cls_divide__le__eq_2,
    [final] ).

cnf(i_0_1060,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1),X2)) ),
    cls_divide__less__eq_2,
    [final] ).

cnf(i_0_1061,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X4,X1,X2),tc_fun(X2,tc_bool)),X3)) ),
    cls_insert__subset_1,
    [final] ).

cnf(i_0_1062,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    cls_inv__f__f_0,
    [final] ).

cnf(i_0_1063,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    cls_inv__f__eq_0,
    [final] ).

cnf(i_0_1064,axiom,
    ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    cls_the__inv__f__f_0,
    [final] ).

cnf(i_0_1065,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ hBOOL(c_in(X5,X1,X3))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    cls_inv__into__f__f_0,
    [final] ).

cnf(i_0_1066,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    cls_inv__into__f__eq_0,
    [final] ).

cnf(i_0_1067,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ hBOOL(c_in(X5,X1,X3))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    cls_the__inv__into__f__f_0,
    [final] ).

cnf(i_0_1068,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    cls_the__inv__into__f__eq_0,
    [final] ).

cnf(i_0_1069,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
    cls_Diff__Int__distrib2_0,
    [final] ).

cnf(i_0_1070,axiom,
    ( c_Finite__Set_Osetsum(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X3)),c_Finite__Set_Osetsum(X2,X4,X5,X1))
    | hBOOL(c_in(X3,X4,X5))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_setsum__insert_0,
    [final] ).

cnf(i_0_1071,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_eq__card__imp__inj__on_0,
    [final] ).

cnf(i_0_1072,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,X4,X3)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X4)) ),
    cls_insert__mono_0,
    [final] ).

cnf(i_0_1073,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | hBOOL(c_in(X2,X3,X4))
    | ~ hBOOL(c_in(X2,X1,X4))
    | ~ c_Finite__Set_Ofinite(X1,X4) ),
    cls_card__Diff__insert_0,
    [final] ).

cnf(i_0_1074,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    cls_subset__singletonD_0,
    [final] ).

cnf(i_0_1075,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_le__diff__iff_1,
    [final] ).

cnf(i_0_1076,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_less__diff__iff_1,
    [final] ).

cnf(i_0_1077,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)),X2)) ),
    cls_insert__subset_0,
    [final] ).

cnf(i_0_1078,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    cls_insert__subset_2,
    [final] ).

cnf(i_0_1079,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__le__0__iff_1,
    [final] ).

cnf(i_0_1080,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__less__0__iff_1,
    [final] ).

cnf(i_0_1081,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__insert__iff_7,
    [final] ).

cnf(i_0_1082,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__le__0__iff_0,
    [final] ).

cnf(i_0_1083,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__le__0__iff_3,
    [final] ).

cnf(i_0_1084,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__less__0__iff_0,
    [final] ).

cnf(i_0_1085,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__less__0__iff_3,
    [final] ).

cnf(i_0_1086,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_divide__right__mono_0,
    [final] ).

cnf(i_0_1087,axiom,
    ( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
    | ~ hBOOL(c_in(X1,X4,X2))
    | ~ hBOOL(c_in(X1,X3,X2)) ),
    cls_Int__iff_2,
    [final] ).

cnf(i_0_1088,axiom,
    ( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
    | ~ hBOOL(c_in(X1,X4,X2))
    | ~ hBOOL(c_in(X1,X3,X2)) ),
    cls_IntI_0,
    [final] ).

cnf(i_0_1089,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_divide__strict__right__mono_0,
    [final] ).

cnf(i_0_1090,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__le__0__iff_2,
    [final] ).

cnf(i_0_1091,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__less__0__iff_2,
    [final] ).

cnf(i_0_1092,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ hBOOL(hAPP(c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X1),X3))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Max__eqI_1,
    [final] ).

cnf(i_0_1093,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X2)) ),
    cls_divide__right__mono__neg_0,
    [final] ).

cnf(i_0_1094,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),
    cls_Diff__Int2_0,
    [final] ).

cnf(i_0_1095,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X2)) ),
    cls_divide__strict__right__mono__neg_0,
    [final] ).

cnf(i_0_1096,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__le__0__1__iff_0,
    [final] ).

cnf(i_0_1097,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__less__0__1__iff_0,
    [final] ).

cnf(i_0_1098,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X1,X2))
    | hBOOL(c_in(X4,X3,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    cls_psubset__insert__iff_2,
    [final] ).

cnf(i_0_1099,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__vimageI_0,
    [final] ).

cnf(i_0_1100,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    cls_insert__image_0,
    [final] ).

cnf(i_0_1101,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
    cls_inf1E_0,
    [final] ).

cnf(i_0_1102,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
    cls_inf1E_1,
    [final] ).

cnf(i_0_1103,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_add__mono_0,
    [final] ).

cnf(i_0_1104,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_add__less__le__mono_0,
    [final] ).

cnf(i_0_1105,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_add__le__less__mono_0,
    [final] ).

cnf(i_0_1106,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_add__strict__mono_0,
    [final] ).

cnf(i_0_1107,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(c_in(X4,X3,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    cls_psubset__insert__iff_0,
    [final] ).

cnf(i_0_1108,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
    cls_Diff__Int__distrib_0,
    [final] ).

cnf(i_0_1109,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X4,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X1),X3)) ),
    cls_min__le__iff__disj_0,
    [final] ).

cnf(i_0_1110,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X1),X3)) ),
    cls_min__less__iff__disj_0,
    [final] ).

cnf(i_0_1111,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
    cls_diff__less__mono2_0,
    [final] ).

cnf(i_0_1112,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    cls_diff__less__mono_0,
    [final] ).

cnf(i_0_1113,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_inj__on__iff__eq__card_0,
    [final] ).

cnf(i_0_1114,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    cls_image__insert_0,
    [final] ).

cnf(i_0_1115,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
    cls_subset__inj__on_0,
    [final] ).

cnf(i_0_1116,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    cls_card__image_0,
    [final] ).

cnf(i_0_1117,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_le__iff__diff__le__0_1,
    [final] ).

cnf(i_0_1118,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_less__iff__diff__less__0_1,
    [final] ).

cnf(i_0_1119,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    cls_subset__insert_0,
    [final] ).

cnf(i_0_1120,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    cls_subset__insert__iff_1,
    [final] ).

cnf(i_0_1121,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X4)) ),
    cls_divide__le__eq_3,
    [final] ).

cnf(i_0_1122,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X4)) ),
    cls_divide__less__eq_3,
    [final] ).

cnf(i_0_1123,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_double__add__le__zero__iff__single__add__le__zero_0,
    [final] ).

cnf(i_0_1124,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_even__less__0__iff_0,
    [final] ).

cnf(i_0_1125,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_double__add__less__zero__iff__single__less__zero_0,
    [final] ).

cnf(i_0_1126,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X3)) ),
    cls_min__max_Ole__sup__iff_0,
    [final] ).

cnf(i_0_1127,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X3)) ),
    cls_min__max_Ole__supE_0,
    [final] ).

cnf(i_0_1128,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X1),X3)) ),
    cls_min__max_Ole__sup__iff_1,
    [final] ).

cnf(i_0_1129,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X1),X3)) ),
    cls_min__max_Ole__supE_1,
    [final] ).

cnf(i_0_1130,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X3)) ),
    cls_max__less__iff__conj_0,
    [final] ).

cnf(i_0_1131,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X1),X3)) ),
    cls_max__less__iff__conj_1,
    [final] ).

cnf(i_0_1132,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__insert__iff_3,
    [final] ).

cnf(i_0_1133,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))) ),
    cls_le__add__right__mono_0,
    [final] ).

cnf(i_0_1134,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
    | ~ hBOOL(c_in(X2,X4,X1)) ),
    cls_Int__insert__left_0,
    [final] ).

cnf(i_0_1135,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X3),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff__singleton_0,
    [final] ).

cnf(i_0_1136,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),X3,X4))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_1,
    [final] ).

cnf(i_0_1137,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
    cls_Int__left__commute_0,
    [final] ).

cnf(i_0_1138,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__le__0__iff_5,
    [final] ).

cnf(i_0_1139,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_divide__le__0__iff_4,
    [final] ).

cnf(i_0_1140,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__less__0__iff_5,
    [final] ).

cnf(i_0_1141,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_divide__less__0__iff_4,
    [final] ).

cnf(i_0_1142,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__nonpos__pos_0,
    [final] ).

cnf(i_0_1143,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_divide__nonneg__neg_0,
    [final] ).

cnf(i_0_1144,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__neg__pos_0,
    [final] ).

cnf(i_0_1145,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_divide__pos__neg_0,
    [final] ).

cnf(i_0_1146,axiom,
    ( X1 = X2
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
    cls_singletonE_0,
    [final] ).

cnf(i_0_1147,axiom,
    ( X1 = X5
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_0,
    [final] ).

cnf(i_0_1148,axiom,
    ( X2 = X4
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_1,
    [final] ).

cnf(i_0_1149,axiom,
    ( X1 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_2,
    [final] ).

cnf(i_0_1150,axiom,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_3,
    [final] ).

cnf(i_0_1151,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(c_in(X3,X4,X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__insert__iff_6,
    [final] ).

cnf(i_0_1152,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
    cls_Diff__insert2_0,
    [final] ).

cnf(i_0_1153,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_card__psubset_0,
    [final] ).

cnf(i_0_1154,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    cls_add__left__mono_0,
    [final] ).

cnf(i_0_1155,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    cls_add__le__cancel__left_1,
    [final] ).

cnf(i_0_1156,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_add__right__mono_0,
    [final] ).

cnf(i_0_1157,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_add__le__cancel__right_1,
    [final] ).

cnf(i_0_1158,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    cls_add__strict__left__mono_0,
    [final] ).

cnf(i_0_1159,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    cls_add__less__cancel__left_1,
    [final] ).

cnf(i_0_1160,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_add__strict__right__mono_0,
    [final] ).

cnf(i_0_1161,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_add__less__cancel__right_1,
    [final] ).

cnf(i_0_1162,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3)) ),
    cls_DiffE_1,
    [final] ).

cnf(i_0_1163,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2)) ),
    cls_diff__le__mono2_0,
    [final] ).

cnf(i_0_1164,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
    cls_diff__le__mono_0,
    [final] ).

cnf(i_0_1165,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_add__nonpos__nonpos_0,
    [final] ).

cnf(i_0_1166,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_add__neg__nonpos_0,
    [final] ).

cnf(i_0_1167,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_add__nonpos__neg_0,
    [final] ).

cnf(i_0_1168,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_add__neg__neg_0,
    [final] ).

cnf(i_0_1169,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
    cls_inj__on__insert_0,
    [final] ).

cnf(i_0_1170,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(c_in(X1,X2,X3)) ),
    cls_insert__Diff_0,
    [final] ).

cnf(i_0_1171,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1),
    cls_insert__inter__insert_0,
    [final] ).

cnf(i_0_1172,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_1173,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
    cls_inj__on__contraD_0,
    [final] ).

cnf(i_0_1174,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
    cls_inj__on__iff_0,
    [final] ).

cnf(i_0_1175,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
    cls_inj__on__def_0,
    [final] ).

cnf(i_0_1176,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5)) ),
    cls_inj__onD_0,
    [final] ).

cnf(i_0_1177,axiom,
    ( hBOOL(c_in(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),hAPP(X2,X4)))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    cls_weak__coinduct_0,
    [final] ).

cnf(i_0_1178,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X1)),
    cls_Diff__subset_0,
    [final] ).

cnf(i_0_1179,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4)))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_3,
    [final] ).

cnf(i_0_1180,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X1)) ),
    cls_double__diff_0,
    [final] ).

cnf(i_0_1181,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_min__max_Ole__sup__iff_2,
    [final] ).

cnf(i_0_1182,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_min__max_Osup__least_0,
    [final] ).

cnf(i_0_1183,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_min__max_Ole__supI_0,
    [final] ).

cnf(i_0_1184,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_max__less__iff__conj_2,
    [final] ).

cnf(i_0_1185,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1))) ),
    cls_le__divide__eq_2,
    [final] ).

cnf(i_0_1186,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1))) ),
    cls_less__divide__eq_2,
    [final] ).

cnf(i_0_1187,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_subset__insert_1,
    [final] ).

cnf(i_0_1188,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_subset__insert__iff_2,
    [final] ).

cnf(i_0_1189,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
    cls_diff__less_0,
    [final] ).

cnf(i_0_1190,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)) ),
    cls_DiffE_0,
    [final] ).

cnf(i_0_1191,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
    | ~ hBOOL(c_in(X3,X2,X1)) ),
    cls_Int__insert__right_0,
    [final] ).

cnf(i_0_1192,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
    cls_finite__Diff__insert_0,
    [final] ).

cnf(i_0_1193,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    cls_conjecture_6,
    [final] ).

cnf(i_0_1194,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
    | hBOOL(c_in(X2,X1,X3))
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff__singleton__if_1,
    [final] ).

cnf(i_0_1195,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__le__0__1__iff_1,
    [final] ).

cnf(i_0_1196,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__less__0__1__iff_1,
    [final] ).

cnf(i_0_1197,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I20_J_0,
    [final] ).

cnf(i_0_1198,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_subset__trans_0,
    [final] ).

cnf(i_0_1199,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__subset__trans_0,
    [final] ).

cnf(i_0_1200,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_subset__psubset__trans_0,
    [final] ).

cnf(i_0_1201,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_psubset__trans_0,
    [final] ).

cnf(i_0_1202,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    cls_zero__le__divide__iff_0,
    [final] ).

cnf(i_0_1203,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    cls_zero__le__divide__iff_3,
    [final] ).

cnf(i_0_1204,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    cls_zero__le__divide__iff_2,
    [final] ).

cnf(i_0_1205,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    cls_zero__le__divide__iff_1,
    [final] ).

cnf(i_0_1206,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    cls_zero__less__divide__iff_0,
    [final] ).

cnf(i_0_1207,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    cls_zero__less__divide__iff_3,
    [final] ).

cnf(i_0_1208,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1))) ),
    cls_zero__less__divide__iff_2,
    [final] ).

cnf(i_0_1209,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1))) ),
    cls_zero__less__divide__iff_1,
    [final] ).

cnf(i_0_1210,axiom,
    ( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,X2,X4)) ),
    cls_Diff__iff_2,
    [final] ).

cnf(i_0_1211,axiom,
    ( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,X2,X4)) ),
    cls_DiffI_0,
    [final] ).

cnf(i_0_1212,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
    | ~ hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_inf1I_0,
    [final] ).

cnf(i_0_1213,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1)))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__eqI_1,
    [final] ).

cnf(i_0_1214,axiom,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    cls_insert__Diff__single_0,
    [final] ).

cnf(i_0_1215,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2)))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    cls_card__insert__le_0,
    [final] ).

cnf(i_0_1216,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    cls_diff__Suc__less_0,
    [final] ).

cnf(i_0_1217,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_fun(X3,X1)),X4))
    | hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,X1)),X2))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,X1)),X4)) ),
    cls_less__fun__def_2,
    [final] ).

cnf(i_0_1218,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_zero__le__divide__iff_4,
    [final] ).

cnf(i_0_1219,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_zero__less__divide__iff_4,
    [final] ).

cnf(i_0_1220,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_divide__nonneg__pos_0,
    [final] ).

cnf(i_0_1221,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_divide__pos__pos_0,
    [final] ).

cnf(i_0_1222,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1))) ),
    cls_zero__le__divide__1__iff_0,
    [final] ).

cnf(i_0_1223,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1))) ),
    cls_zero__less__divide__1__iff_0,
    [final] ).

cnf(i_0_1224,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X2,X3),tc_nat),c_Finite__Set_Ocard(X1,X3)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__seteq_0,
    [final] ).

cnf(i_0_1225,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X4,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    cls_subset__insertI2_0,
    [final] ).

cnf(i_0_1226,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X4))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_le__divide__eq_3,
    [final] ).

cnf(i_0_1227,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),c_HOL_Ozero__class_Ozero(X1)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X4))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_less__divide__eq_3,
    [final] ).

cnf(i_0_1228,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_double__add__le__zero__iff__single__add__le__zero_1,
    [final] ).

cnf(i_0_1229,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_even__less__0__iff_1,
    [final] ).

cnf(i_0_1230,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_double__add__less__zero__iff__single__less__zero_1,
    [final] ).

cnf(i_0_1231,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
    cls_Int__Diff_0,
    [final] ).

cnf(i_0_1232,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X4,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_0,
    [final] ).

cnf(i_0_1233,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_le__iff__diff__le__0_0,
    [final] ).

cnf(i_0_1234,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_less__iff__diff__less__0_0,
    [final] ).

cnf(i_0_1235,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_add__nonneg__nonneg_0,
    [final] ).

cnf(i_0_1236,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_add__pos__nonneg_0,
    [final] ).

cnf(i_0_1237,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_add__nonneg__pos_0,
    [final] ).

cnf(i_0_1238,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_add__pos__pos_0,
    [final] ).

cnf(i_0_1239,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
    cls_finite__Diff__insert_1,
    [final] ).

cnf(i_0_1240,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X4,X3,X1))) ),
    cls_le__max__iff__disj_0,
    [final] ).

cnf(i_0_1241,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X4,X3,X1))) ),
    cls_less__max__iff__disj_0,
    [final] ).

cnf(i_0_1242,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ hBOOL(c_in(X5,X4,X3)) ),
    cls_image__constant_0,
    [final] ).

cnf(i_0_1243,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_zero__le__divide__iff_5,
    [final] ).

cnf(i_0_1244,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_zero__less__divide__iff_5,
    [final] ).

cnf(i_0_1245,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_min__le__iff__disj_1,
    [final] ).

cnf(i_0_1246,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_min__max_Ole__infI1_0,
    [final] ).

cnf(i_0_1247,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    cls_min__le__iff__disj_2,
    [final] ).

cnf(i_0_1248,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    cls_min__max_Ole__infI2_0,
    [final] ).

cnf(i_0_1249,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_le__infI1_0,
    [final] ).

cnf(i_0_1250,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4)) ),
    cls_le__infI2_0,
    [final] ).

cnf(i_0_1251,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_min__less__iff__disj_1,
    [final] ).

cnf(i_0_1252,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_min__max_Oless__infI1_0,
    [final] ).

cnf(i_0_1253,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    cls_min__less__iff__disj_2,
    [final] ).

cnf(i_0_1254,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    cls_min__max_Oless__infI2_0,
    [final] ).

cnf(i_0_1255,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_less__infI1_0,
    [final] ).

cnf(i_0_1256,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
    cls_less__infI2_0,
    [final] ).

cnf(i_0_1257,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__nonpos__neg_0,
    [final] ).

cnf(i_0_1258,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_divide__neg__neg_0,
    [final] ).

cnf(i_0_1259,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
    cls_Diff__insert_0,
    [final] ).

cnf(i_0_1260,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | X1 = X4
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
    cls_insertE_0,
    [final] ).

cnf(i_0_1261,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    cls_min__add__distrib__left_0,
    [final] ).

cnf(i_0_1262,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
    cls_add__inf__distrib__right_0,
    [final] ).

cnf(i_0_1263,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,
    [final] ).

cnf(i_0_1264,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_disjoint__iff__not__equal_0,
    [final] ).

cnf(i_0_1265,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
    | hBOOL(c_in(X2,X4,X1)) ),
    cls_Int__insert__left_1,
    [final] ).

cnf(i_0_1266,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    cls_less__imp__diff__less_0,
    [final] ).

cnf(i_0_1267,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OlessThan(X3,X1))) ),
    cls_lessThan__subset__iff_0,
    [final] ).

cnf(i_0_1268,axiom,
    ( hAPP(X1,X4) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Osetsum(X1,X2,X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ hBOOL(c_in(X4,X2,X3)) ),
    cls_setsum__eq__0__iff_0,
    [final] ).

cnf(i_0_1269,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2))) ),
    cls_zero__le__double__add__iff__zero__le__single__add_0,
    [final] ).

cnf(i_0_1270,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2))) ),
    cls_zero__less__double__add__iff__zero__less__single__add_0,
    [final] ).

cnf(i_0_1271,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X4)) ),
    cls_add__increasing2_0,
    [final] ).

cnf(i_0_1272,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    cls_add__increasing_0,
    [final] ).

cnf(i_0_1273,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    cls_add__strict__increasing_0,
    [final] ).

cnf(i_0_1274,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    cls_add__strict__increasing2_0,
    [final] ).

cnf(i_0_1275,axiom,
    ( ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,X1)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X3,X1)),X2)) ),
    cls_less__fun__def_1,
    [final] ).

cnf(i_0_1276,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3)) ),
    cls_pos__add__strict_0,
    [final] ).

cnf(i_0_1277,axiom,
    ( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    cls_card__Suc__eq_5,
    [final] ).

cnf(i_0_1278,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
    cls_Int__left__absorb_0,
    [final] ).

cnf(i_0_1279,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Olinorder__class_OMax(X2,X1),X1),c_Finite__Set_Olinorder__class_OMax(X3,X1)))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X1,tc_bool)),X3)) ),
    cls_Max__mono_0,
    [final] ).

cnf(i_0_1280,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X1),c_Finite__Set_Olinorder__class_OMin(X3,X1)))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X1,tc_bool)),X2)) ),
    cls_Min__antimono_0,
    [final] ).

cnf(i_0_1281,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X2,X3),tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X1))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__Diff__subset_0,
    [final] ).

cnf(i_0_1282,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2)) ),
    cls_subset__iff_0,
    [final] ).

cnf(i_0_1283,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    cls_set__rev__mp_0,
    [final] ).

cnf(i_0_1284,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2)) ),
    cls_subsetD_0,
    [final] ).

cnf(i_0_1285,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X3,tc_bool)),X2)) ),
    cls_set__mp_0,
    [final] ).

cnf(i_0_1286,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X3,tc_bool)),X2)) ),
    cls_psubsetD_0,
    [final] ).

cnf(i_0_1287,axiom,
    ( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X4,X2)) ),
    cls_vimage__const_0,
    [final] ).

cnf(i_0_1288,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_Nat_Odiff__diff__eq_0,
    [final] ).

cnf(i_0_1289,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_min__max_Oinf__greatest_0,
    [final] ).

cnf(i_0_1290,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_min__max_Ole__inf__iff_2,
    [final] ).

cnf(i_0_1291,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_min__max_Ole__infI_0,
    [final] ).

cnf(i_0_1292,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_inf__greatest_0,
    [final] ).

cnf(i_0_1293,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_le__inf__iff_2,
    [final] ).

cnf(i_0_1294,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_le__infI_0,
    [final] ).

cnf(i_0_1295,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_min__less__iff__conj_2,
    [final] ).

cnf(i_0_1296,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X1))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2)) ),
    cls_equalityI_0,
    [final] ).

cnf(i_0_1297,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,tc_bool)),X1))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2)) ),
    cls_set__eq__subset_2,
    [final] ).

cnf(i_0_1298,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    cls_card__gt__0__iff_0,
    [final] ).

cnf(i_0_1299,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X2,X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Max__eqI_0,
    [final] ).

cnf(i_0_1300,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
    | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X2,X1))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__eqI_0,
    [final] ).

cnf(i_0_1301,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))) ),
    cls_zero__less__diff_0,
    [final] ).

cnf(i_0_1302,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))) ),
    cls_le__inf__iff_0,
    [final] ).

cnf(i_0_1303,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))) ),
    cls_le__infE_0,
    [final] ).

cnf(i_0_1304,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3))) ),
    cls_le__inf__iff_1,
    [final] ).

cnf(i_0_1305,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3))) ),
    cls_le__infE_1,
    [final] ).

cnf(i_0_1306,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))) ),
    cls_min__max_Ole__inf__iff_0,
    [final] ).

cnf(i_0_1307,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))) ),
    cls_min__max_Ole__infE_0,
    [final] ).

cnf(i_0_1308,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))) ),
    cls_min__max_Ole__inf__iff_1,
    [final] ).

cnf(i_0_1309,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))) ),
    cls_min__max_Ole__infE_1,
    [final] ).

cnf(i_0_1310,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))) ),
    cls_min__less__iff__conj_0,
    [final] ).

cnf(i_0_1311,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))) ),
    cls_min__less__iff__conj_1,
    [final] ).

cnf(i_0_1312,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(X2,X3),X1),hAPP(X4,X3)))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X5,X1)),X4)) ),
    cls_le__funD_0,
    [final] ).

cnf(i_0_1313,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    cls_min__diff__distrib__left_0,
    [final] ).

cnf(i_0_1314,axiom,
    ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1)),c_HOL_Oinverse__class_Odivide(X3,X4,X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_add__divide__distrib_0,
    [final] ).

cnf(i_0_1315,axiom,
    ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X4,X1)),c_Orderings_Oord__class_Omax(X3,X4,X1))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__inf__distrib2_0,
    [final] ).

cnf(i_0_1316,axiom,
    ( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__inf__distrib1_0,
    [final] ).

cnf(i_0_1317,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
    cls_singleton__iff_1,
    [final] ).

cnf(i_0_1318,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    cls_max__add__distrib__left_0,
    [final] ).

cnf(i_0_1319,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__sup__distrib2_0,
    [final] ).

cnf(i_0_1320,axiom,
    ( hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))) ),
    cls_nat__diff__split_0,
    [final] ).

cnf(i_0_1321,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    cls_doubleton__eq__iff_4,
    [final] ).

cnf(i_0_1322,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__imageI_0,
    [final] ).

cnf(i_0_1323,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_card__mono_0,
    [final] ).

cnf(i_0_1324,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_psubset__card__mono_0,
    [final] ).

cnf(i_0_1325,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_zero__le__divide__1__iff_1,
    [final] ).

cnf(i_0_1326,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)))
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_zero__less__divide__1__iff_1,
    [final] ).

cnf(i_0_1327,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1) ),
    cls_add__inf__distrib__left_0,
    [final] ).

cnf(i_0_1328,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,
    [final] ).

cnf(i_0_1329,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I23_J_0,
    [final] ).

cnf(i_0_1330,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    cls_injD_0,
    [final] ).

cnf(i_0_1331,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(c_in(X1,X2,X3)) ),
    cls_Diff__insert__absorb_0,
    [final] ).

cnf(i_0_1332,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
    | hBOOL(c_in(X3,X2,X1)) ),
    cls_Int__insert__right_1,
    [final] ).

cnf(i_0_1333,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Suc(X1))),
    cls_diff__less__Suc_0,
    [final] ).

cnf(i_0_1334,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(c_in(X1,X4,X3)) ),
    cls_insert__Diff__if_1,
    [final] ).

cnf(i_0_1335,axiom,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    cls_insert__iff_2,
    [final] ).

cnf(i_0_1336,axiom,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    cls_insertCI_0,
    [final] ).

cnf(i_0_1337,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__le1_0,
    [final] ).

cnf(i_0_1338,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X3))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__le2_0,
    [final] ).

cnf(i_0_1339,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X2))
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I1_J_0,
    [final] ).

cnf(i_0_1340,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X2))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le1_0,
    [final] ).

cnf(i_0_1341,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X3))
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I2_J_0,
    [final] ).

cnf(i_0_1342,axiom,
    ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X3))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le2_0,
    [final] ).

cnf(i_0_1343,axiom,
    ( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X4,X2)) ),
    cls_vimage__const_1,
    [final] ).

cnf(i_0_1344,axiom,
    ( c_Finite__Set_Osetprod(X2,X4,X5,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(X2,X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_setprod__zero__iff_2,
    [final] ).

cnf(i_0_1345,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1)),
    cls_diff__le__self_0,
    [final] ).

cnf(i_0_1346,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_image__constant__conv_1,
    [final] ).

cnf(i_0_1347,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_zero__le__double__add__iff__zero__le__single__add_1,
    [final] ).

cnf(i_0_1348,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_zero__less__double__add__iff__zero__less__single__add_1,
    [final] ).

cnf(i_0_1349,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,tc_fun(X3,X1)),X4))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_fun(X3,X1)),X4)) ),
    cls_less__fun__def_0,
    [final] ).

cnf(i_0_1350,axiom,
    ( c_Finite__Set_Osetprod(X2,X4,X5,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(X2,X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(c_in(X3,X4,X5))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_setprod__zero_0,
    [final] ).

cnf(i_0_1351,axiom,
    hBOOL(hAPP(c_lessequals(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_subset__empty_1,
    [final] ).

cnf(i_0_1352,axiom,
    ( hBOOL(hAPP(c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OlessThan(X3,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_lessThan__subset__iff_1,
    [final] ).

cnf(i_0_1353,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))) ),
    cls_subset__empty_0,
    [final] ).

cnf(i_0_1354,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_1355,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_1356,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1))) ),
    cls_of__nat__le__iff_0,
    [final] ).

cnf(i_0_1357,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1))) ),
    cls_of__nat__less__iff_0,
    [final] ).

cnf(i_0_1358,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)))
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    cls_finite__UNIV__card__ge__0_0,
    [final] ).

cnf(i_0_1359,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X3,tc_bool)),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),X2)) ),
    cls_subset__iff__psubset__eq_0,
    [final] ).

cnf(i_0_1360,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | X1 = X3
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    cls_psubset__eq_2,
    [final] ).

cnf(i_0_1361,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3)) ),
    cls_psubset__eq_0,
    [final] ).

cnf(i_0_1362,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_add__nonneg__eq__0__iff_0,
    [final] ).

cnf(i_0_1363,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2)) ),
    cls_add__nonneg__eq__0__iff_1,
    [final] ).

cnf(i_0_1364,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(c_in(X1,X4,X3)) ),
    cls_insert__Diff1_0,
    [final] ).

cnf(i_0_1365,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    cls_max__diff__distrib__left_0,
    [final] ).

cnf(i_0_1366,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_diff__divide__distrib_0,
    [final] ).

cnf(i_0_1367,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    cls_not__psubset__empty_0,
    [final] ).

cnf(i_0_1368,axiom,
    c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_image__constant__conv_0,
    [final] ).

cnf(i_0_1369,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_le__max__iff__disj_1,
    [final] ).

cnf(i_0_1370,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_min__max_Ole__supI1_0,
    [final] ).

cnf(i_0_1371,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_le__max__iff__disj_2,
    [final] ).

cnf(i_0_1372,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_min__max_Ole__supI2_0,
    [final] ).

cnf(i_0_1373,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_less__max__iff__disj_1,
    [final] ).

cnf(i_0_1374,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_min__max_Oless__supI1_0,
    [final] ).

cnf(i_0_1375,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_less__max__iff__disj_2,
    [final] ).

cnf(i_0_1376,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),c_Orderings_Oord__class_Omax(X3,X4,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_min__max_Oless__supI2_0,
    [final] ).

cnf(i_0_1377,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_single__Diff__lessThan_0,
    [final] ).

cnf(i_0_1378,axiom,
    ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__fun__eq_0,
    [final] ).

cnf(i_0_1379,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__sup__distrib1_0,
    [final] ).

cnf(i_0_1380,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,
    [final] ).

cnf(i_0_1381,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__assoc_0,
    [final] ).

cnf(i_0_1382,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I21_J_0,
    [final] ).

cnf(i_0_1383,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__assoc_0,
    [final] ).

cnf(i_0_1384,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I2_J_0,
    [final] ).

cnf(i_0_1385,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__assoc_0,
    [final] ).

cnf(i_0_1386,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__a_0,
    [final] ).

cnf(i_0_1387,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I25_J_0,
    [final] ).

cnf(i_0_1388,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(X1,tc_bool)),X3)) ),
    cls_Int__absorb2_0,
    [final] ).

cnf(i_0_1389,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X1,tc_bool)),X2)) ),
    cls_Int__absorb1_0,
    [final] ).

cnf(i_0_1390,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    cls_insert__code_0,
    [final] ).

cnf(i_0_1391,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    cls_zero__less__diff_1,
    [final] ).

cnf(i_0_1392,axiom,
    ( X1 = X3
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_eq__diff__iff_0,
    [final] ).

cnf(i_0_1393,axiom,
    ( hBOOL(c_in(X1,X4,X3))
    | hBOOL(c_in(X1,X2,X3))
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    cls_insert__ident_0,
    [final] ).

cnf(i_0_1394,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1))))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_zero__less__two_0,
    [final] ).

cnf(i_0_1395,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X3,X2,X1))
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__le_0,
    [final] ).

cnf(i_0_1396,axiom,
    ( hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_lessequals(X5,X1),X4)) ),
    cls_le__eqI_1,
    [final] ).

cnf(i_0_1397,axiom,
    ( hBOOL(hAPP(c_lessequals(X5,X1),X4))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    cls_le__eqI_0,
    [final] ).

cnf(i_0_1398,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X5)) ),
    cls_less__eqI_1,
    [final] ).

cnf(i_0_1399,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X5))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_less__eqI_0,
    [final] ).

cnf(i_0_1400,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    cls_subset__insertI_0,
    [final] ).

cnf(i_0_1401,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    cls_bex__empty_0,
    [final] ).

cnf(i_0_1402,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) = X5
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5) ),
    cls_add__cancel__21_0,
    [final] ).

cnf(i_0_1403,axiom,
    hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2)),
    cls_empty__subsetI_0,
    [final] ).

cnf(i_0_1404,axiom,
    ( c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_setsum__0_0,
    [final] ).

cnf(i_0_1405,axiom,
    ( c_Finite__Set_Osetprod(c_COMBK(c_HOL_Oone__class_Oone(X1),X1,X2),X3,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    cls_setprod__1_0,
    [final] ).

cnf(i_0_1406,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    cls_ball__empty_0,
    [final] ).

cnf(i_0_1407,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
    cls_of__nat__le__iff_1,
    [final] ).

cnf(i_0_1408,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
    cls_of__nat__less__iff_1,
    [final] ).

cnf(i_0_1409,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,X1)))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),hAPP(X3,X2))) ),
    cls_gfp__upperbound_0,
    [final] ).

cnf(i_0_1410,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X1)) ),
    cls_predicate1D_0,
    [final] ).

cnf(i_0_1411,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X4,tc_bool)),X1))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_rev__predicate1D_0,
    [final] ).

cnf(i_0_1412,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
    | ~ class_Ring__and__Field_Oring__1(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2)) ),
    cls_of__nat__diff_0,
    [final] ).

cnf(i_0_1413,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_order__trans_0,
    [final] ).

cnf(i_0_1414,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3)) ),
    cls_xt1_I6_J_0,
    [final] ).

cnf(i_0_1415,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_order__less__le__trans_0,
    [final] ).

cnf(i_0_1416,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4)) ),
    cls_order__le__less__trans_0,
    [final] ).

cnf(i_0_1417,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4)) ),
    cls_order__less__trans_0,
    [final] ).

cnf(i_0_1418,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3)) ),
    cls_xt1_I8_J_0,
    [final] ).

cnf(i_0_1419,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3)) ),
    cls_xt1_I7_J_0,
    [final] ).

cnf(i_0_1420,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X1),X3)) ),
    cls_xt1_I10_J_0,
    [final] ).

cnf(i_0_1421,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    cls_Diff__triv_0,
    [final] ).

cnf(i_0_1422,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1)) ),
    cls_lessThan__iff_0,
    [final] ).

cnf(i_0_1423,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1))) ),
    cls_of__nat__0__less__iff_0,
    [final] ).

cnf(i_0_1424,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    cls_less__trans__Suc_0,
    [final] ).

cnf(i_0_1425,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Finite__Set_Olinorder__class_OMax(X3,X1)))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(c_in(X2,X3,X1))
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    cls_Max__ge_0,
    [final] ).

cnf(i_0_1426,axiom,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    cls_ex__in__conv_0,
    [final] ).

cnf(i_0_1427,axiom,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    cls_empty__iff_0,
    [final] ).

cnf(i_0_1428,axiom,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    cls_emptyE_0,
    [final] ).

cnf(i_0_1429,axiom,
    ( X1 = X3
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    cls_singleton__inject_0,
    [final] ).

cnf(i_0_1430,axiom,
    ( hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4) = hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    cls_ab__semigroup__mult_Omult__ac_I1_J_0,
    [final] ).

cnf(i_0_1431,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__insert__if_0,
    [final] ).

cnf(i_0_1432,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),c_Suc(X3),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),
    cls_Suc__diff__diff_0,
    [final] ).

cnf(i_0_1433,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_fun(t_a,tc_bool)),X1)) ),
    cls_assms_I1_J_0,
    [final] ).

cnf(i_0_1434,axiom,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__assoc_0,
    [final] ).

cnf(i_0_1435,axiom,
    ( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__left__commute_0,
    [final] ).

cnf(i_0_1436,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_1437,axiom,
    c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
    cls_vimage__UNIV_0,
    [final] ).

cnf(i_0_1438,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_1439,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_1440,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    cls_insert__iff_1,
    [final] ).

cnf(i_0_1441,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    cls_insertI1_0,
    [final] ).

cnf(i_0_1442,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    cls_insertCI_1,
    [final] ).

cnf(i_0_1443,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Diff__disjoint_0,
    [final] ).

cnf(i_0_1444,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
    cls_insert__commute_0,
    [final] ).

cnf(i_0_1445,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_finite__Int_0,
    [final] ).

cnf(i_0_1446,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    cls_finite__Int_1,
    [final] ).

cnf(i_0_1447,axiom,
    ( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
    | ~ c_Finite__Set_Ofun__left__comm(X1,X5,X6) ),
    cls_fun__left__comm_Ofun__left__comm_0,
    [final] ).

cnf(i_0_1448,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_of__nat__less__0__iff_0,
    [final] ).

cnf(i_0_1449,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_less__add__one_0,
    [final] ).

cnf(i_0_1450,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_add__cancel__21_1,
    [final] ).

cnf(i_0_1451,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__left__commute_0,
    [final] ).

cnf(i_0_1452,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I22_J_0,
    [final] ).

cnf(i_0_1453,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__left__commute_0,
    [final] ).

cnf(i_0_1454,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I3_J_0,
    [final] ).

cnf(i_0_1455,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__left__commute_0,
    [final] ).

cnf(i_0_1456,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
    cls_le__trans_0,
    [final] ).

cnf(i_0_1457,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
    cls_diff__commute_0,
    [final] ).

cnf(i_0_1458,axiom,
    ( c_Finite__Set_Osetsum(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_setsum__empty_0,
    [final] ).

cnf(i_0_1459,axiom,
    ( c_Finite__Set_Osetprod(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    cls_setprod__empty_0,
    [final] ).

cnf(i_0_1460,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    cls_finite__subset_0,
    [final] ).

cnf(i_0_1461,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_rev__finite__subset_0,
    [final] ).

cnf(i_0_1462,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_1463,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
    cls_of__nat__0__less__iff_1,
    [final] ).

cnf(i_0_1464,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X2,X3,X1)))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_le__maxI1_0,
    [final] ).

cnf(i_0_1465,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Oord__class_Omax(X3,X2,X1)))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_le__maxI2_0,
    [final] ).

cnf(i_0_1466,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_less__le__not__le_2,
    [final] ).

cnf(i_0_1467,axiom,
    ( hBOOL(c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1))
    | ~ class_HOL_Oord(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_lessThan__iff_1,
    [final] ).

cnf(i_0_1468,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_finite__Diff2_0,
    [final] ).

cnf(i_0_1469,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_1470,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_insert__code_2,
    [final] ).

cnf(i_0_1471,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2),
    cls_Int__commute_0,
    [final] ).

cnf(i_0_1472,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_Suc__diff__le_0,
    [final] ).

cnf(i_0_1473,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | hBOOL(c_in(X1,X2,X3))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__insert__if_1,
    [final] ).

cnf(i_0_1474,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | c_Finite__Set_Ocard(X2,X3) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_card__Suc__eq_4,
    [final] ).

cnf(i_0_1475,axiom,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Suc(X2),tc_nat),X1)) ),
    cls_not__less__eq__eq_1,
    [final] ).

cnf(i_0_1476,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_diff__diff__cancel_0,
    [final] ).

cnf(i_0_1477,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
    cls_subset__UNIV_0,
    [final] ).

cnf(i_0_1478,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Int__empty__left_0,
    [final] ).

cnf(i_0_1479,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_diff__add__cancel_0,
    [final] ).

cnf(i_0_1480,axiom,
    ( c_Finite__Set_Osetsum(X2,X3,X4,X1) = c_HOL_Ozero__class_Ozero(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_setsum__infinite_0,
    [final] ).

cnf(i_0_1481,axiom,
    ( c_Finite__Set_Osetsum(X2,X3,X4,X1) = c_HOL_Ozero__class_Ozero(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_setsum__def_1,
    [final] ).

cnf(i_0_1482,axiom,
    ( c_Finite__Set_Osetprod(X2,X3,X4,X1) = c_HOL_Oone__class_Oone(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    cls_setprod__infinite_0,
    [final] ).

cnf(i_0_1483,axiom,
    ( c_Finite__Set_Osetprod(X2,X3,X4,X1) = c_HOL_Oone__class_Oone(X1)
    | c_Finite__Set_Ofinite(X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    cls_setprod__def_1,
    [final] ).

cnf(i_0_1484,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X1)),
    cls_psubset__eq_1,
    [final] ).

cnf(i_0_1485,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_1486,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    cls_Suc__pred_0,
    [final] ).

cnf(i_0_1487,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    inference(cn,[status(thm)],[i_0_894]),
    [final] ).

cnf(i_0_1488,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_order__eq__iff_2,
    [final] ).

cnf(i_0_1489,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_order__antisym_0,
    [final] ).

cnf(i_0_1490,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    cls_order__antisym__conv_0,
    [final] ).

cnf(i_0_1491,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    cls_less__le__not__le_1,
    [final] ).

cnf(i_0_1492,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    cls_order__less__asym_H_0,
    [final] ).

cnf(i_0_1493,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    cls_order__less__asym_0,
    [final] ).

cnf(i_0_1494,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    cls_xt1_I9_J_0,
    [final] ).

cnf(i_0_1495,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    cls_linorder__antisym__conv2_1,
    [final] ).

cnf(i_0_1496,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    cls_linorder__not__less_1,
    [final] ).

cnf(i_0_1497,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    cls_linorder__not__le_1,
    [final] ).

cnf(i_0_1498,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
    cls_not__less__iff__gr__or__eq_1,
    [final] ).

cnf(i_0_1499,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X4,X5) ),
    cls_ab__semigroup__mult_Ononempty__iff_2,
    [final] ).

cnf(i_0_1500,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_le__less__Suc__eq_0,
    [final] ).

cnf(i_0_1501,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    cls_Max__insert_0,
    [final] ).

cnf(i_0_1502,axiom,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),c_Suc(X1))) ),
    cls_not__less__eq_1,
    [final] ).

cnf(i_0_1503,axiom,
    ( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
    cls_ab__semigroup__mult_Omult__left__commute_0,
    [final] ).

cnf(i_0_1504,axiom,
    ( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    cls_card__eq__UNIV__imp__eq__UNIV_0,
    [final] ).

cnf(i_0_1505,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Finite__Set_Olinorder__class_OMin(X3,X1))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    cls_Min__insert_0,
    [final] ).

cnf(i_0_1506,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X1
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    cls_Suc__diff__1_0,
    [final] ).

cnf(i_0_1507,axiom,
    ( X1 = c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
    cls_Suc__pred_H_0,
    [final] ).

cnf(i_0_1508,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_Suc(X2))) ),
    cls_Suc__le__mono_0,
    [final] ).

cnf(i_0_1509,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2))) ),
    cls_Suc__less__eq_0,
    [final] ).

cnf(i_0_1510,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
    cls_Int__UNIV__left_0,
    [final] ).

cnf(i_0_1511,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1,
    [final] ).

cnf(i_0_1512,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_le__antisym_0,
    [final] ).

cnf(i_0_1513,negated_conjecture,
    v_uG = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    cls_conjecture_1,
    [final] ).

cnf(i_0_1514,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_comm__monoid__add_Ononempty__iff_2,
    [final] ).

cnf(i_0_1515,axiom,
    ( v_wt(c_Option_Othe(hAPP(c_Com_Obody,X1),tc_Com_Ocom))
    | ~ hBOOL(c_in(X1,v_U,tc_Com_Opname)) ),
    cls_assms_I4_J_0,
    [final] ).

cnf(i_0_1516,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | X3 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
    cls_nat__less__cases_0,
    [final] ).

cnf(i_0_1517,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(X1,X2))) ),
    cls_card__gt__0__iff_1,
    [final] ).

cnf(i_0_1518,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2)) ),
    cls_Suc__leD_0,
    [final] ).

cnf(i_0_1519,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2)) ),
    cls_less__eq__Suc__le_1,
    [final] ).

cnf(i_0_1520,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2)) ),
    cls_Suc__le__eq_0,
    [final] ).

cnf(i_0_1521,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2)) ),
    cls_Suc__lessD_0,
    [final] ).

cnf(i_0_1522,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Max__singleton_0,
    [final] ).

cnf(i_0_1523,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Min__singleton_0,
    [final] ).

cnf(i_0_1524,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_Suc__le__mono_1,
    [final] ).

cnf(i_0_1525,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_Suc__mono_0,
    [final] ).

cnf(i_0_1526,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_less__Suc__eq__0__disj_3,
    [final] ).

cnf(i_0_1527,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    cls_insert__absorb_0,
    [final] ).

cnf(i_0_1528,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | c_Suc(X1) = X2
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_Suc__lessI_0,
    [final] ).

cnf(i_0_1529,axiom,
    ( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__left__idem_0,
    [final] ).

cnf(i_0_1530,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Int__empty__right_0,
    [final] ).

cnf(i_0_1531,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),
    cls_diff__Suc__eq__diff__pred_0,
    [final] ).

cnf(i_0_1532,axiom,
    ( hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Max__in_0,
    [final] ).

cnf(i_0_1533,axiom,
    ( hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__in_0,
    [final] ).

cnf(i_0_1534,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_xt1_I11_J_0,
    [final] ).

cnf(i_0_1535,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_xt1_I12_J_0,
    [final] ).

cnf(i_0_1536,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_order__le__less_0,
    [final] ).

cnf(i_0_1537,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_order__less__le_2,
    [final] ).

cnf(i_0_1538,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_order__le__neq__trans_0,
    [final] ).

cnf(i_0_1539,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_order__neq__le__trans_0,
    [final] ).

cnf(i_0_1540,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_linorder__antisym__conv1_0,
    [final] ).

cnf(i_0_1541,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_linorder__antisym__conv2_0,
    [final] ).

cnf(i_0_1542,axiom,
    ( X1 = c_Suc(X2)
    | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X2))) ),
    cls_le__SucE_0,
    [final] ).

cnf(i_0_1543,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_less__eq__Suc__le_0,
    [final] ).

cnf(i_0_1544,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_Suc__leI_0,
    [final] ).

cnf(i_0_1545,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_order__less__imp__le_0,
    [final] ).

cnf(i_0_1546,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3)) ),
    cls_order__le__less_1,
    [final] ).

cnf(i_0_1547,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    cls_not__less__less__Suc__eq_0,
    [final] ).

cnf(i_0_1548,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    cls_less__SucE_0,
    [final] ).

cnf(i_0_1549,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),c_Suc(X1))) ),
    cls_less__antisym_0,
    [final] ).

cnf(i_0_1550,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    cls_insert__absorb2_0,
    [final] ).

cnf(i_0_1551,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    cls_less__Suc__eq__le_0,
    [final] ).

cnf(i_0_1552,axiom,
    hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
    cls_UNIV__I_0,
    [final] ).

cnf(i_0_1553,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__left__idem_0,
    [final] ).

cnf(i_0_1554,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I4_J_0,
    [final] ).

cnf(i_0_1555,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__left__idem_0,
    [final] ).

cnf(i_0_1556,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__Diff2_1,
    [final] ).

cnf(i_0_1557,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    cls_bot1E_0,
    [final] ).

cnf(i_0_1558,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_le__SucI_0,
    [final] ).

cnf(i_0_1559,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)) ),
    cls_le__less__Suc__eq_1,
    [final] ).

cnf(i_0_1560,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_less__Suc__eq__le_1,
    [final] ).

cnf(i_0_1561,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_less__SucI_0,
    [final] ).

cnf(i_0_1562,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    cls_mem__def_0,
    [final] ).

cnf(i_0_1563,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
    cls_finite__insert_0,
    [final] ).

cnf(i_0_1564,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_nat__less__le_2,
    [final] ).

cnf(i_0_1565,axiom,
    ( X1 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_le__eq__less__or__eq_0,
    [final] ).

cnf(i_0_1566,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | X1 = X2
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_le__neq__implies__less_0,
    [final] ).

cnf(i_0_1567,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
    cls_Int__UNIV__right_0,
    [final] ).

cnf(i_0_1568,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_termination__basic__simps_I5_J_0,
    [final] ).

cnf(i_0_1569,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    cls_nat__less__le_0,
    [final] ).

cnf(i_0_1570,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_not__one__le__zero_0,
    [final] ).

cnf(i_0_1571,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X1),c_HOL_Ozero__class_Ozero(X1))) ),
    cls_not__one__less__zero_0,
    [final] ).

cnf(i_0_1572,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X3,X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    cls_min__max_Osup__absorb1_0,
    [final] ).

cnf(i_0_1573,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X3,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_min__max_Ole__iff__sup_0,
    [final] ).

cnf(i_0_1574,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(X1,X2)))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    cls_card__gt__0__iff_2,
    [final] ).

cnf(i_0_1575,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_min__max_Ole__iff__inf_0,
    [final] ).

cnf(i_0_1576,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    cls_min__max_Oinf__absorb2_0,
    [final] ).

cnf(i_0_1577,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X3)) ),
    cls_le__iff__inf_0,
    [final] ).

cnf(i_0_1578,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2)) ),
    cls_inf__absorb2_0,
    [final] ).

cnf(i_0_1579,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_finite__Diff_0,
    [final] ).

cnf(i_0_1580,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
    cls_class__ringb_Oadd__cancel_0,
    [final] ).

cnf(i_0_1581,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_1582,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_1583,axiom,
    ( X2 = X1
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_diffs0__imp__equal_0,
    [final] ).

cnf(i_0_1584,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Omax(X2,X3,X1) != X3 ),
    cls_min__max_Ole__iff__sup_1,
    [final] ).

cnf(i_0_1585,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_not__less__eq__eq_0,
    [final] ).

cnf(i_0_1586,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    cls_diff__is__0__eq_1,
    [final] ).

cnf(i_0_1587,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | X3 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_linorder__neqE__ordered__idom_0,
    [final] ).

cnf(i_0_1588,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__antisym__conv3_0,
    [final] ).

cnf(i_0_1589,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | X3 = X2
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__less__linear_0,
    [final] ).

cnf(i_0_1590,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__neqE_0,
    [final] ).

cnf(i_0_1591,axiom,
    ( X2 = X3
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_not__less__iff__gr__or__eq_0,
    [final] ).

cnf(i_0_1592,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    cls_equalityE_0,
    [final] ).

cnf(i_0_1593,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    cls_subset__refl_0,
    [final] ).

cnf(i_0_1594,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3) ),
    cls_add__right__cancel_0,
    [final] ).

cnf(i_0_1595,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
    cls_add__left__cancel_0,
    [final] ).

cnf(i_0_1596,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4) ),
    cls_add__imp__eq_0,
    [final] ).

cnf(i_0_1597,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Orderings_Olinorder(X1)
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) != X2 ),
    cls_min__max_Ole__iff__inf_1,
    [final] ).

cnf(i_0_1598,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | ~ class_Lattices_Olower__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
    cls_le__iff__inf_1,
    [final] ).

cnf(i_0_1599,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_1600,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2))
    | hBOOL(hAPP(c_lessequals(X2,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__antisym__conv1_1,
    [final] ).

cnf(i_0_1601,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__not__le_0,
    [final] ).

cnf(i_0_1602,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X3))
    | hBOOL(hAPP(c_lessequals(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_not__leE_0,
    [final] ).

cnf(i_0_1603,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__not__less_0,
    [final] ).

cnf(i_0_1604,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X2,X3,X1)) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__sup__absorb_0,
    [final] ).

cnf(i_0_1605,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_of__nat__0__le__iff_0,
    [final] ).

cnf(i_0_1606,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_zero__le__imp__of__nat_0,
    [final] ).

cnf(i_0_1607,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_add__diff__cancel_0,
    [final] ).

cnf(i_0_1608,axiom,
    ( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__inf__absorb_0,
    [final] ).

cnf(i_0_1609,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))) ),
    cls_not__less__less__Suc__eq_1,
    [final] ).

cnf(i_0_1610,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    cls_not__less__eq_0,
    [final] ).

cnf(i_0_1611,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_diff__is__0__eq_0,
    [final] ).

cnf(i_0_1612,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) ),
    cls_less__Suc0_0,
    [final] ).

cnf(i_0_1613,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1,
    [final] ).

cnf(i_0_1614,axiom,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    cls_Suc__n__not__le__n_0,
    [final] ).

cnf(i_0_1615,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_1616,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_Diff__UNIV_0,
    [final] ).

cnf(i_0_1617,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
    cls_bot__empty__eq_0,
    [final] ).

cnf(i_0_1618,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | X2 = X1 ),
    cls_linorder__neqE__nat_0,
    [final] ).

cnf(i_0_1619,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | X2 = X1 ),
    cls_nat__neq__iff_0,
    [final] ).

cnf(i_0_1620,axiom,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    cls_nat__le__linear_0,
    [final] ).

cnf(i_0_1621,negated_conjecture,
    hBOOL(hAPP(c_lessequals(v_x,tc_fun(t_a,tc_bool)),v_uG)),
    cls_conjecture_2,
    [final] ).

cnf(i_0_1622,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    cls_neq0__conv_1,
    [final] ).

cnf(i_0_1623,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
    cls_Int__absorb_0,
    [final] ).

cnf(i_0_1624,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__insert_1,
    [final] ).

cnf(i_0_1625,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    cls_order__less__irrefl_0,
    [final] ).

cnf(i_0_1626,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    cls_order__less__le_1,
    [final] ).

cnf(i_0_1627,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X2)) ),
    cls_linorder__neq__iff_1,
    [final] ).

cnf(i_0_1628,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
    cls_top1I_0,
    [final] ).

cnf(i_0_1629,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
    cls_le__0__eq_0,
    [final] ).

cnf(i_0_1630,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_1631,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    cls_gr__implies__not0_0,
    [final] ).

cnf(i_0_1632,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    cls_not__less0_0,
    [final] ).

cnf(i_0_1633,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    cls_empty__not__insert_0,
    [final] ).

cnf(i_0_1634,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_insert__not__empty_0,
    [final] ).

cnf(i_0_1635,axiom,
    ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oone__class_Oone(X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_zero__le__one_0,
    [final] ).

cnf(i_0_1636,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Oone__class_Oone(X1)))
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_zero__less__one_0,
    [final] ).

cnf(i_0_1637,axiom,
    hAPP(c_COMBK(X1,X2,X3),X4) = X1,
    cls_COMBK__def_0,
    [final] ).

cnf(i_0_1638,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    cls_less__not__refl_0,
    [final] ).

cnf(i_0_1639,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    cls_nat__less__le_1,
    [final] ).

cnf(i_0_1640,axiom,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),
    cls_diff__Suc__Suc_0,
    [final] ).

cnf(i_0_1641,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X2),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_Nat_Osemiring__1__class_Oof__nat(X2,X1))
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    cls_of__nat__Suc_0,
    [final] ).

cnf(i_0_1642,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X3,X1) = c_Orderings_Oord__class_Omax(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__commute_0,
    [final] ).

cnf(i_0_1643,axiom,
    ( hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(X1),X1),X2))
    | ~ class_Orderings_Obot(X1) ),
    cls_bot__least_0,
    [final] ).

cnf(i_0_1644,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    cls_less__Suc0_1,
    [final] ).

cnf(i_0_1645,axiom,
    hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_Suc(X1))),
    cls_le__Suc__eq_2,
    [final] ).

cnf(i_0_1646,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__commute_0,
    [final] ).

cnf(i_0_1647,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__c_0,
    [final] ).

cnf(i_0_1648,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I24_J_0,
    [final] ).

cnf(i_0_1649,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__commute_0,
    [final] ).

cnf(i_0_1650,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I1_J_0,
    [final] ).

cnf(i_0_1651,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__commute_0,
    [final] ).

cnf(i_0_1652,axiom,
    c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
    cls_finite__dom__body_0,
    [final] ).

cnf(i_0_1653,negated_conjecture,
    hBOOL(hAPP(c_lessequals(v_n,tc_nat),c_Finite__Set_Ocard(v_uG,t_a))),
    cls_conjecture_3,
    [final] ).

cnf(i_0_1654,axiom,
    ( X2 = X3
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_class__ringb_Osubr0__iff_0,
    [final] ).

cnf(i_0_1655,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X2 = X3
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oone__class_Oone(X1) ),
    cls_right__inverse__eq_0,
    [final] ).

cnf(i_0_1656,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_1657,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | X2 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
    cls_class__ringb_Oadd__r0__iff_0,
    [final] ).

cnf(i_0_1658,axiom,
    ( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X3),X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
    cls_ab__semigroup__mult_Omult__commute_0,
    [final] ).

cnf(i_0_1659,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_right__minus__eq_0,
    [final] ).

cnf(i_0_1660,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_eq__iff__diff__eq__0_1,
    [final] ).

cnf(i_0_1661,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),c_Orderings_Otop__class_Otop(X1)))
    | ~ class_Orderings_Otop(X1) ),
    cls_top__greatest_0,
    [final] ).

cnf(i_0_1662,axiom,
    ( X2 = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
    cls_inf__eq__top__eq1_0,
    [final] ).

cnf(i_0_1663,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_double__eq__0__iff_0,
    [final] ).

cnf(i_0_1664,axiom,
    ( X3 = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
    cls_inf__eq__top__eq2_0,
    [final] ).

cnf(i_0_1665,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    cls_zero__less__Suc_0,
    [final] ).

cnf(i_0_1666,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    cls_gr0__conv__Suc_1,
    [final] ).

cnf(i_0_1667,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    cls_le__0__eq_1,
    [final] ).

cnf(i_0_1668,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_gr0I_0,
    [final] ).

cnf(i_0_1669,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X2))
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_1670,axiom,
    ( hBOOL(hAPP(c_lessequals(X2,X1),X2))
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_1671,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    cls_ATP__Linkup_Ofequal__imp__equal_0,
    [final] ).

cnf(i_0_1672,axiom,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    cls_le0_0,
    [final] ).

cnf(i_0_1673,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
    cls_less__Suc__eq_2,
    [final] ).

cnf(i_0_1674,axiom,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
    cls_lessI_0,
    [final] ).

cnf(i_0_1675,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__self__if_0,
    [final] ).

cnf(i_0_1676,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_UNIV__not__empty_0,
    [final] ).

cnf(i_0_1677,negated_conjecture,
    c_Finite__Set_Ocard(v_x,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat),
    cls_conjecture_4,
    [final] ).

cnf(i_0_1678,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_double__eq__0__iff_1,
    [final] ).

cnf(i_0_1679,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__zero_0,
    [final] ).

cnf(i_0_1680,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__eq__eq_1,
    [final] ).

cnf(i_0_1681,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_eq__divide__eq_2,
    [final] ).

cnf(i_0_1682,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__self__if_1,
    [final] ).

cnf(i_0_1683,axiom,
    ( c_Finite__Set_Ofun__left__comm(X1,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    cls_ab__semigroup__mult_Ofun__left__comm_0,
    [final] ).

cnf(i_0_1684,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    cls_card__eq__0__iff_0,
    [final] ).

cnf(i_0_1685,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    cls_le__refl_0,
    [final] ).

cnf(i_0_1686,axiom,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    cls_eq__imp__le_0,
    [final] ).

cnf(i_0_1687,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__bot__left_0,
    [final] ).

cnf(i_0_1688,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_1689,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    cls_top__fun__eq_0,
    [final] ).

cnf(i_0_1690,axiom,
    ( X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    cls_class__ringb_Oadd__r0__iff_1,
    [final] ).

cnf(i_0_1691,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    cls_finite__UNIV_0,
    [final] ).

cnf(i_0_1692,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    cls_class__ringb_Osubr0__iff_1,
    [final] ).

cnf(i_0_1693,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    cls_add__0__left_0,
    [final] ).

cnf(i_0_1694,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__1_0,
    [final] ).

cnf(i_0_1695,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I5_J_0,
    [final] ).

cnf(i_0_1696,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__0_0,
    [final] ).

cnf(i_0_1697,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__top__left_0,
    [final] ).

cnf(i_0_1698,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_divide__zero__left_0,
    [final] ).

cnf(i_0_1699,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_divide__self_0,
    [final] ).

cnf(i_0_1700,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_right__inverse__eq_1,
    [final] ).

cnf(i_0_1701,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__bot__right_0,
    [final] ).

cnf(i_0_1702,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_diff__0__right_0,
    [final] ).

cnf(i_0_1703,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_divide__1_0,
    [final] ).

cnf(i_0_1704,axiom,
    c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_card__empty_0,
    [final] ).

cnf(i_0_1705,axiom,
    ( c_Finite__Set_Ofun__left__comm(c_HOL_Oplus__class_Oplus(X1),X1,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Ofun__left__comm_0,
    [final] ).

cnf(i_0_1706,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    cls_monoid__add__class_Oadd__0__right_0,
    [final] ).

cnf(i_0_1707,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__1__right_0,
    [final] ).

cnf(i_0_1708,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I6_J_0,
    [final] ).

cnf(i_0_1709,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__top__right_0,
    [final] ).

cnf(i_0_1710,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    cls_finite_OemptyI_0,
    [final] ).

cnf(i_0_1711,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_diff__self_0,
    [final] ).

cnf(i_0_1712,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_right__minus__eq_1,
    [final] ).

cnf(i_0_1713,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_eq__iff__diff__eq__0_0,
    [final] ).

cnf(i_0_1714,axiom,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1,
    cls_diff__Suc__1_0,
    [final] ).

cnf(i_0_1715,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__idem_0,
    [final] ).

cnf(i_0_1716,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__idem_0,
    [final] ).

cnf(i_0_1717,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__idem_0,
    [final] ).

cnf(i_0_1718,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_diff__0__eq__0_0,
    [final] ).

cnf(i_0_1719,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    cls_minus__nat_Odiff__0_0,
    [final] ).

cnf(i_0_1720,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_diff__self__eq__0_0,
    [final] ).

cnf(i_0_1721,axiom,
    c_fequal(X1,X1,X2),
    cls_ATP__Linkup_Oequal__imp__fequal_0,
    [final] ).

cnf(i_0_1722,axiom,
    ( X2 = X3
    | ~ class_Nat_Osemiring__char__0(X1)
    | c_Nat_Osemiring__1__class_Oof__nat(X2,X1) != c_Nat_Osemiring__1__class_Oof__nat(X3,X1) ),
    cls_of__nat__eq__iff_0,
    [final] ).

cnf(i_0_1723,axiom,
    ( X2 = X3
    | ~ class_Orderings_Olinorder(X1)
    | c_SetInterval_Oord__class_OlessThan(X2,X1) != c_SetInterval_Oord__class_OlessThan(X3,X1) ),
    cls_lessThan__eq__iff_0,
    [final] ).

cnf(i_0_1724,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    clsarity_fun__Finite__Set_Ofinite_Ofinite,
    [final] ).

cnf(i_0_1725,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    clsarity_fun__Orderings_Obot,
    [final] ).

cnf(i_0_1726,axiom,
    ( class_HOL_Ominus(tc_fun(X1,X2))
    | ~ class_HOL_Ominus(X2) ),
    clsarity_fun__HOL_Ominus,
    [final] ).

cnf(i_0_1727,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    clsarity_fun__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1728,axiom,
    ( class_Orderings_Otop(tc_fun(X1,X2))
    | ~ class_Orderings_Otop(X2) ),
    clsarity_fun__Orderings_Otop,
    [final] ).

cnf(i_0_1729,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_1730,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    clsarity_fun__HOL_Oord,
    [final] ).

cnf(i_0_1731,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    clsarity_fun__Orderings_Opreorder,
    [final] ).

cnf(i_0_1732,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    clsarity_fun__Orderings_Oorder,
    [final] ).

cnf(i_0_1733,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olattice,
    [final] ).

cnf(i_0_1734,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1735,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Ofinite(X1,X2) ),
    cls_card__eq__0__iff_2,
    [final] ).

cnf(i_0_1736,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    cls_of__nat__1_0,
    [final] ).

cnf(i_0_1737,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    cls_of__nat__0_0,
    [final] ).

cnf(i_0_1738,axiom,
    c_HOL_Oord__class_Oless(v_n,tc_nat) = c_lessequals(c_Suc(v_n),tc_nat),
    cls_less__eq__Suc__le__raw_0,
    [final] ).

cnf(i_0_1739,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Orderings_Oord__class_Omin(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__min_0,
    [final] ).

cnf(i_0_1740,axiom,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    cls_finite_0,
    [final] ).

cnf(i_0_1741,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_one__neq__zero_0,
    [final] ).

cnf(i_0_1742,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
    cls_zero__neq__one_0,
    [final] ).

cnf(i_0_1743,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_nat_Oinject_0,
    [final] ).

cnf(i_0_1744,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Suc__inject_0,
    [final] ).

cnf(i_0_1745,negated_conjecture,
    c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
    cls_conjecture_0,
    [final] ).

cnf(i_0_1746,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_Zero__neq__Suc_0,
    [final] ).

cnf(i_0_1747,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_nat_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1748,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_Suc__neq__Zero_0,
    [final] ).

cnf(i_0_1749,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_nat_Osimps_I3_J_0,
    [final] ).

cnf(i_0_1750,axiom,
    c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    cls_One__nat__def_0,
    [final] ).

cnf(i_0_1751,axiom,
    c_Suc(X1) != X1,
    cls_Suc__n__not__n_0,
    [final] ).

cnf(i_0_1752,axiom,
    X1 != c_Suc(X1),
    cls_n__not__Suc__n_0,
    [final] ).

cnf(i_0_1753,axiom,
    class_Orderings_Obot(tc_bool),
    clsarity_bool__Orderings_Obot,
    [final] ).

cnf(i_0_1754,axiom,
    class_Orderings_Obot(tc_nat),
    clsarity_nat__Orderings_Obot,
    [final] ).

cnf(i_0_1755,axiom,
    class_Nat_Osemiring__char__0(tc_nat),
    clsarity_nat__Nat_Osemiring__char__0,
    [final] ).

cnf(i_0_1756,negated_conjecture,
    v_wt(v_xa),
    cls_conjecture_5,
    [final] ).

cnf(i_0_1757,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    clsarity_nat__Ring__and__Field_Ono__zero__divisors,
    [final] ).

cnf(i_0_1758,axiom,
    class_HOL_Ominus(tc_bool),
    clsarity_bool__HOL_Ominus,
    [final] ).

cnf(i_0_1759,axiom,
    class_HOL_Ominus(tc_nat),
    clsarity_nat__HOL_Ominus,
    [final] ).

cnf(i_0_1760,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    clsarity_bool__Finite__Set_Ofinite_Ofinite,
    [final] ).

cnf(i_0_1761,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    clsarity_bool__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1762,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,
    [final] ).

cnf(i_0_1763,axiom,
    class_Orderings_Otop(tc_bool),
    clsarity_bool__Orderings_Otop,
    [final] ).

cnf(i_0_1764,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    clsarity_bool__Complete__Lattice_Ocomplete__lattice,
    [final] ).

cnf(i_0_1765,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,
    [final] ).

cnf(i_0_1766,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    clsarity_nat__OrderedGroup_Omonoid__add,
    [final] ).

cnf(i_0_1767,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    clsarity_nat__Ring__and__Field_Oordered__semidom,
    [final] ).

cnf(i_0_1768,axiom,
    class_HOL_Oord(tc_bool),
    clsarity_bool__HOL_Oord,
    [final] ).

cnf(i_0_1769,axiom,
    class_HOL_Oord(tc_nat),
    clsarity_nat__HOL_Oord,
    [final] ).

cnf(i_0_1770,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    clsarity_nat__OrderedGroup_Ocomm__monoid__mult,
    [final] ).

cnf(i_0_1771,axiom,
    class_Orderings_Opreorder(tc_bool),
    clsarity_bool__Orderings_Opreorder,
    [final] ).

cnf(i_0_1772,axiom,
    class_Orderings_Opreorder(tc_nat),
    clsarity_nat__Orderings_Opreorder,
    [final] ).

cnf(i_0_1773,axiom,
    class_Orderings_Oorder(tc_bool),
    clsarity_bool__Orderings_Oorder,
    [final] ).

cnf(i_0_1774,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat__Orderings_Oorder,
    [final] ).

cnf(i_0_1775,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Oab__semigroup__add,
    [final] ).

cnf(i_0_1776,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    clsarity_nat__OrderedGroup_Ocomm__monoid__add,
    [final] ).

cnf(i_0_1777,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    clsarity_nat__Ring__and__Field_Ozero__neq__one,
    [final] ).

cnf(i_0_1778,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    clsarity_nat__Ring__and__Field_Osemiring__1,
    [final] ).

cnf(i_0_1779,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    clsarity_nat__Ring__and__Field_Ocomm__semiring__1,
    [final] ).

cnf(i_0_1780,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
    [final] ).

cnf(i_0_1781,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Ocancel__semigroup__add,
    [final] ).

cnf(i_0_1782,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,
    [final] ).

cnf(i_0_1783,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,
    [final] ).

cnf(i_0_1784,axiom,
    class_Lattices_Olattice(tc_bool),
    clsarity_bool__Lattices_Olattice,
    [final] ).

cnf(i_0_1785,axiom,
    class_Lattices_Olattice(tc_nat),
    clsarity_nat__Lattices_Olattice,
    [final] ).

cnf(i_0_1786,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    clsarity_bool__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1787,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    clsarity_nat__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1788,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat__Orderings_Olinorder,
    [final] ).

cnf(i_0_1789,axiom,
    X1 = X1 ).

cnf(i_0_1790,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1791,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1792,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1793,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1794,axiom,
    ( X1 != X2
    | c_in(X1,X3,X4) = c_in(X2,X3,X4) ) ).

cnf(i_0_1795,axiom,
    ( X1 != X2
    | c_in(X3,X1,X4) = c_in(X3,X2,X4) ) ).

cnf(i_0_1796,axiom,
    ( X1 != X2
    | c_in(X3,X4,X1) = c_in(X3,X4,X2) ) ).

cnf(i_0_1797,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1798,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1799,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1800,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1801,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1802,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1803,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1804,axiom,
    ( X1 != X2
    | c_HOL_Oord__class_Oless(X1,X3) = c_HOL_Oord__class_Oless(X2,X3) ) ).

cnf(i_0_1805,axiom,
    ( X1 != X2
    | c_HOL_Oord__class_Oless(X3,X1) = c_HOL_Oord__class_Oless(X3,X2) ) ).

cnf(i_0_1806,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).

cnf(i_0_1807,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).

cnf(i_0_1808,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).

cnf(i_0_1809,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X1,X3,X4,X5,X6) = c_Finite__Set_Ofold(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1810,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X1,X4,X5,X6) = c_Finite__Set_Ofold(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1811,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X4,X1,X5,X6) = c_Finite__Set_Ofold(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1812,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X4,X5,X1,X6) = c_Finite__Set_Ofold(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1813,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X4,X5,X6,X1) = c_Finite__Set_Ofold(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1814,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1815,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1816,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1817,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1818,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1819,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1820,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1821,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1822,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1823,axiom,
    ( X1 != X2
    | c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).

cnf(i_0_1824,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X1,X3,X4) = c_Orderings_Oord__class_Omax(X2,X3,X4) ) ).

cnf(i_0_1825,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X3,X1,X4) = c_Orderings_Oord__class_Omax(X3,X2,X4) ) ).

cnf(i_0_1826,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X3,X4,X1) = c_Orderings_Oord__class_Omax(X3,X4,X2) ) ).

cnf(i_0_1827,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).

cnf(i_0_1828,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X1,X3,X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ) ).

cnf(i_0_1829,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X1,X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ) ).

cnf(i_0_1830,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X4,X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ).

cnf(i_0_1831,axiom,
    ( X1 != X2
    | c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).

cnf(i_0_1832,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X1,X3,X4,X5) = c_Finite__Set_Osetprod(X2,X3,X4,X5) ) ).

cnf(i_0_1833,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X1,X4,X5) = c_Finite__Set_Osetprod(X3,X2,X4,X5) ) ).

cnf(i_0_1834,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X1,X5) = c_Finite__Set_Osetprod(X3,X4,X2,X5) ) ).

cnf(i_0_1835,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X5,X1) = c_Finite__Set_Osetprod(X3,X4,X5,X2) ) ).

cnf(i_0_1836,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1837,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1838,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1839,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1840,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1841,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMax(X1,X3) = c_Finite__Set_Olinorder__class_OMax(X2,X3) ) ).

cnf(i_0_1842,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMax(X3,X1) = c_Finite__Set_Olinorder__class_OMax(X3,X2) ) ).

cnf(i_0_1843,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMin(X1,X3) = c_Finite__Set_Olinorder__class_OMin(X2,X3) ) ).

cnf(i_0_1844,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMin(X3,X1) = c_Finite__Set_Olinorder__class_OMin(X3,X2) ) ).

cnf(i_0_1845,axiom,
    ( X1 != X2
    | c_SetInterval_Oord__class_OlessThan(X1,X3) = c_SetInterval_Oord__class_OlessThan(X2,X3) ) ).

cnf(i_0_1846,axiom,
    ( X1 != X2
    | c_SetInterval_Oord__class_OlessThan(X3,X1) = c_SetInterval_Oord__class_OlessThan(X3,X2) ) ).

cnf(i_0_1847,axiom,
    ( X1 != X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) = c_Nat_Osemiring__1__class_Oof__nat(X2,X3) ) ).

cnf(i_0_1848,axiom,
    ( X1 != X2
    | c_Nat_Osemiring__1__class_Oof__nat(X3,X1) = c_Nat_Osemiring__1__class_Oof__nat(X3,X2) ) ).

cnf(i_0_1849,axiom,
    ( X1 != X2
    | c_lessequals(X1,X3) = c_lessequals(X2,X3) ) ).

cnf(i_0_1850,axiom,
    ( X1 != X2
    | c_lessequals(X3,X1) = c_lessequals(X3,X2) ) ).

cnf(i_0_1851,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).

cnf(i_0_1852,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).

cnf(i_0_1853,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).

cnf(i_0_1854,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).

cnf(i_0_1855,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1856,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1857,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1858,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1859,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1860,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X6,X7)
    | c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_1861,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X1,X4,X5,X6,X7)
    | c_Nitpick_Ofold__graph_H(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_1862,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X1,X5,X6,X7)
    | c_Nitpick_Ofold__graph_H(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_1863,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X1,X6,X7)
    | c_Nitpick_Ofold__graph_H(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_1864,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X1,X7)
    | c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_1865,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X1)
    | c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_1866,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1867,axiom,
    ( X1 != X2
    | ~ v_wt(X1)
    | v_wt(X2) ) ).

cnf(i_0_1868,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1869,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_1870,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1871,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_1872,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_1873,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_1874,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1875,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X6,X7)
    | c_Finite__Set_Ofold__graph(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_1876,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X1,X4,X5,X6,X7)
    | c_Finite__Set_Ofold__graph(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_1877,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X6,X7)
    | c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_1878,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
    | c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_1879,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X1,X7)
    | c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_1880,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X1)
    | c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_1881,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1882,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1883,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1884,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).

cnf(i_0_1885,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1886,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1887,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__add__meet(X2) ) ).

cnf(i_0_1888,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_1889,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1890,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1891,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofun__left__comm(X1,X3,X4)
    | c_Finite__Set_Ofun__left__comm(X2,X3,X4) ) ).

cnf(i_0_1892,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofun__left__comm(X3,X1,X4)
    | c_Finite__Set_Ofun__left__comm(X3,X2,X4) ) ).

cnf(i_0_1893,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofun__left__comm(X3,X4,X1)
    | c_Finite__Set_Ofun__left__comm(X3,X4,X2) ) ).

cnf(i_0_1894,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1895,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_1896,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_1897,axiom,
    ( X1 != X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(X2) ) ).

cnf(i_0_1898,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_1899,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1900,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1901,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_1902,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1903,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1904,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1905,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_1906,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1907,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_1908,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1909,axiom,
    ( X1 != X2
    | ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(X2) ) ).

cnf(i_0_1910,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1911,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1912,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1913,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1914,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(X2) ) ).

cnf(i_0_1915,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__add(X1)
    | class_OrderedGroup_Omonoid__add(X2) ) ).

cnf(i_0_1916,axiom,
    ( X1 != X2
    | ~ class_Nat_Osemiring__char__0(X1)
    | class_Nat_Osemiring__char__0(X2) ) ).

cnf(i_0_1917,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_1918,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | class_Ring__and__Field_Ozero__neq__one(X2) ) ).

cnf(i_0_1919,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1920,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | c_Finite__Set_Ofinite(X2,X3) ) ).

cnf(i_0_1921,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | c_Finite__Set_Ofinite(X3,X2) ) ).

cnf(i_0_1922,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_1923,axiom,
    ( X1 != X2
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X3)
    | c_OrderedGroup_Oab__semigroup__mult(X2,X3) ) ).

cnf(i_0_1924,axiom,
    ( X1 != X2
    | ~ c_OrderedGroup_Oab__semigroup__mult(X3,X1)
    | c_OrderedGroup_Oab__semigroup__mult(X3,X2) ) ).

cnf(i_0_1789_001,axiom,
    X1 = X1 ).

cnf(i_0_1790_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1791_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1792_004,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1793_005,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1794_006,axiom,
    ( X1 != X2
    | c_in(X1,X3,X4) = c_in(X2,X3,X4) ) ).

cnf(i_0_1795_007,axiom,
    ( X1 != X2
    | c_in(X3,X1,X4) = c_in(X3,X2,X4) ) ).

cnf(i_0_1796_008,axiom,
    ( X1 != X2
    | c_in(X3,X4,X1) = c_in(X3,X4,X2) ) ).

cnf(i_0_1797_009,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1798_010,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1799_011,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1800_012,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1801_013,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1802_014,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1803_015,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1804_016,axiom,
    ( X1 != X2
    | c_HOL_Oord__class_Oless(X1,X3) = c_HOL_Oord__class_Oless(X2,X3) ) ).

cnf(i_0_1805_017,axiom,
    ( X1 != X2
    | c_HOL_Oord__class_Oless(X3,X1) = c_HOL_Oord__class_Oless(X3,X2) ) ).

cnf(i_0_1806_018,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).

cnf(i_0_1807_019,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).

cnf(i_0_1808_020,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).

cnf(i_0_1809_021,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X1,X3,X4,X5,X6) = c_Finite__Set_Ofold(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1810_022,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X1,X4,X5,X6) = c_Finite__Set_Ofold(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1811_023,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X4,X1,X5,X6) = c_Finite__Set_Ofold(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1812_024,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X4,X5,X1,X6) = c_Finite__Set_Ofold(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1813_025,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold(X3,X4,X5,X6,X1) = c_Finite__Set_Ofold(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1814_026,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1815_027,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1816_028,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1817_029,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1818_030,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1819_031,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1820_032,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1821_033,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1822_034,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1823_035,axiom,
    ( X1 != X2
    | c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).

cnf(i_0_1824_036,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X1,X3,X4) = c_Orderings_Oord__class_Omax(X2,X3,X4) ) ).

cnf(i_0_1825_037,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X3,X1,X4) = c_Orderings_Oord__class_Omax(X3,X2,X4) ) ).

cnf(i_0_1826_038,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X3,X4,X1) = c_Orderings_Oord__class_Omax(X3,X4,X2) ) ).

cnf(i_0_1827_039,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).

cnf(i_0_1828_040,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X1,X3,X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ) ).

cnf(i_0_1829_041,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X1,X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ) ).

cnf(i_0_1830_042,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X4,X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ).

cnf(i_0_1831_043,axiom,
    ( X1 != X2
    | c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).

cnf(i_0_1832_044,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X1,X3,X4,X5) = c_Finite__Set_Osetprod(X2,X3,X4,X5) ) ).

cnf(i_0_1833_045,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X1,X4,X5) = c_Finite__Set_Osetprod(X3,X2,X4,X5) ) ).

cnf(i_0_1834_046,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X1,X5) = c_Finite__Set_Osetprod(X3,X4,X2,X5) ) ).

cnf(i_0_1835_047,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X5,X1) = c_Finite__Set_Osetprod(X3,X4,X5,X2) ) ).

cnf(i_0_1836_048,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1837_049,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1838_050,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1839_051,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1840_052,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1841_053,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMax(X1,X3) = c_Finite__Set_Olinorder__class_OMax(X2,X3) ) ).

cnf(i_0_1842_054,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMax(X3,X1) = c_Finite__Set_Olinorder__class_OMax(X3,X2) ) ).

cnf(i_0_1843_055,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMin(X1,X3) = c_Finite__Set_Olinorder__class_OMin(X2,X3) ) ).

cnf(i_0_1844_056,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMin(X3,X1) = c_Finite__Set_Olinorder__class_OMin(X3,X2) ) ).

cnf(i_0_1845_057,axiom,
    ( X1 != X2
    | c_SetInterval_Oord__class_OlessThan(X1,X3) = c_SetInterval_Oord__class_OlessThan(X2,X3) ) ).

cnf(i_0_1846_058,axiom,
    ( X1 != X2
    | c_SetInterval_Oord__class_OlessThan(X3,X1) = c_SetInterval_Oord__class_OlessThan(X3,X2) ) ).

cnf(i_0_1847_059,axiom,
    ( X1 != X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) = c_Nat_Osemiring__1__class_Oof__nat(X2,X3) ) ).

cnf(i_0_1848_060,axiom,
    ( X1 != X2
    | c_Nat_Osemiring__1__class_Oof__nat(X3,X1) = c_Nat_Osemiring__1__class_Oof__nat(X3,X2) ) ).

cnf(i_0_1849_061,axiom,
    ( X1 != X2
    | c_lessequals(X1,X3) = c_lessequals(X2,X3) ) ).

cnf(i_0_1850_062,axiom,
    ( X1 != X2
    | c_lessequals(X3,X1) = c_lessequals(X3,X2) ) ).

cnf(i_0_1851_063,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).

cnf(i_0_1852_064,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).

cnf(i_0_1853_065,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).

cnf(i_0_1854_066,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).

cnf(i_0_1855_067,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1856_068,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1857_069,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1858_070,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1859_071,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1860_072,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X6,X7)
    | c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_1861_073,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X1,X4,X5,X6,X7)
    | c_Nitpick_Ofold__graph_H(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_1862_074,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X1,X5,X6,X7)
    | c_Nitpick_Ofold__graph_H(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_1863_075,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X1,X6,X7)
    | c_Nitpick_Ofold__graph_H(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_1864_076,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X1,X7)
    | c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_1865_077,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X1)
    | c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_1866_078,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1867_079,axiom,
    ( X1 != X2
    | ~ v_wt(X1)
    | v_wt(X2) ) ).

cnf(i_0_1868_080,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1869_081,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_1870_082,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1871_083,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_1872_084,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_1873_085,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_1874_086,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1875_087,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X6,X7)
    | c_Finite__Set_Ofold__graph(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_1876_088,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X1,X4,X5,X6,X7)
    | c_Finite__Set_Ofold__graph(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_1877_089,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X6,X7)
    | c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_1878_090,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
    | c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_1879_091,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X1,X7)
    | c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_1880_092,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X1)
    | c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_1881_093,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1882_094,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1883_095,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1884_096,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).

cnf(i_0_1885_097,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1886_098,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1887_099,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X1)
    | class_OrderedGroup_Olordered__ab__group__add__meet(X2) ) ).

cnf(i_0_1888_100,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_1889_101,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1890_102,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1891_103,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofun__left__comm(X1,X3,X4)
    | c_Finite__Set_Ofun__left__comm(X2,X3,X4) ) ).

cnf(i_0_1892_104,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofun__left__comm(X3,X1,X4)
    | c_Finite__Set_Ofun__left__comm(X3,X2,X4) ) ).

cnf(i_0_1893_105,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofun__left__comm(X3,X4,X1)
    | c_Finite__Set_Ofun__left__comm(X3,X4,X2) ) ).

cnf(i_0_1894_106,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1895_107,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_1896_108,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_1897_109,axiom,
    ( X1 != X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(X2) ) ).

cnf(i_0_1898_110,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1(X1)
    | class_Ring__and__Field_Oring__1(X2) ) ).

cnf(i_0_1899_111,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1900_112,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1901_113,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_1902_114,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1903_115,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1904_116,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1905_117,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_1906_118,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1907_119,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__1(X1)
    | class_Ring__and__Field_Osemiring__1(X2) ) ).

cnf(i_0_1908_120,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1909_121,axiom,
    ( X1 != X2
    | ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(X2) ) ).

cnf(i_0_1910_122,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1911_123,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1912_124,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1913_125,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1914_126,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(X2) ) ).

cnf(i_0_1915_127,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__add(X1)
    | class_OrderedGroup_Omonoid__add(X2) ) ).

cnf(i_0_1916_128,axiom,
    ( X1 != X2
    | ~ class_Nat_Osemiring__char__0(X1)
    | class_Nat_Osemiring__char__0(X2) ) ).

cnf(i_0_1917_129,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_1918_130,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | class_Ring__and__Field_Ozero__neq__one(X2) ) ).

cnf(i_0_1919_131,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1920_132,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | c_Finite__Set_Ofinite(X2,X3) ) ).

cnf(i_0_1921_133,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | c_Finite__Set_Ofinite(X3,X2) ) ).

cnf(i_0_1922_134,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_1923_135,axiom,
    ( X1 != X2
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X3)
    | c_OrderedGroup_Oab__semigroup__mult(X2,X3) ) ).

cnf(i_0_1924_136,axiom,
    ( X1 != X2
    | ~ c_OrderedGroup_Oab__semigroup__mult(X3,X1)
    | c_OrderedGroup_Oab__semigroup__mult(X3,X2) ) ).

cnf(i_0_1925,plain,
    ( X1 = X1
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
    inference(equality_inference,[],[938]) ).

cnf(i_0_1926,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    inference(equality_inference,[],[1042]) ).

cnf(i_0_1927,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[1147]) ).

cnf(i_0_1928,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[1148]) ).

cnf(i_0_1929,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[1149]) ).

cnf(i_0_1930,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[1150]) ).

cnf(i_0_1931,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    inference(equality_inference,[],[1176]) ).

cnf(i_0_1932,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    inference(equality_inference,[],[1330]) ).

cnf(i_0_1933,plain,
    ( X1 = X1
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    inference(equality_inference,[],[1392]) ).

cnf(i_0_1934,plain,
    ( X1 = X1
    | hBOOL(c_in(X2,X1,X3))
    | hBOOL(c_in(X2,X1,X3)) ),
    inference(equality_inference,[],[1393]) ).

cnf(i_0_1935,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
    inference(equality_inference,[],[1402]) ).

cnf(i_0_1936,plain,
    X1 = X1,
    inference(equality_inference,[],[1429]) ).

cnf(i_0_1937,plain,
    ( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    inference(equality_inference,[],[1504]) ).

cnf(i_0_1938,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | X2 = X2
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(equality_inference,[],[1580]) ).

cnf(i_0_1939,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[1581]) ).

cnf(i_0_1940,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[1582]) ).

cnf(i_0_1941,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[1594]) ).

cnf(i_0_1942,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[1595]) ).

cnf(i_0_1943,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
    inference(equality_inference,[],[1596]) ).

cnf(i_0_1944,plain,
    ( X1 = X1
    | ~ class_Nat_Osemiring__char__0(X2) ),
    inference(equality_inference,[],[1722]) ).

cnf(i_0_1945,plain,
    ( X1 = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(equality_inference,[],[1723]) ).

cnf(i_0_1946,plain,
    X1 = X1,
    inference(equality_inference,[],[1744]) ).

cnf(i_0_1947,plain,
    hBOOL(hAPP(hAPP(v_P,v_uG),v_x)),
    inference(scs_inference,[],[i_0_1621,i_0_1433]) ).

cnf(i_0_1948,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(t_a,tc_bool)),X2))
    | hBOOL(hAPP(hAPP(v_P,X2),X1)) ),
    inference(rename_variables,[],[i_0_1433]) ).

cnf(i_0_1949,plain,
    ~ hBOOL(c_in(c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_x),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1621,i_0_1433,i_0_1562]) ).

cnf(i_0_1950,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_1562]) ).

cnf(i_0_1951,plain,
    c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_uG,
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1433,i_0_1562,i_0_1790]) ).

cnf(i_0_1952,plain,
    ~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1428,i_0_1433,i_0_1562,i_0_1790,i_0_962]) ).

cnf(i_0_1953,plain,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1428]) ).

cnf(i_0_1954,plain,
    ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
    inference(rename_variables,[],[i_0_962]) ).

cnf(i_0_1955,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,v_x,X2,t_a),tc_fun(X2,tc_bool)),c_Set_Ovimage(X1,v_uG,X2,t_a))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1428,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966]) ).

cnf(i_0_1956,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X4,X1,X5,X2),tc_fun(X5,tc_bool)),c_Set_Ovimage(X4,X3,X5,X2))) ),
    inference(rename_variables,[],[i_0_966]) ).

cnf(i_0_1957,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,v_x,t_a,X2),tc_fun(X2,tc_bool)),c_Set_Oimage(X1,v_uG,t_a,X2))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1428,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968]) ).

cnf(i_0_1958,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X4,X3,X2,X5))) ),
    inference(rename_variables,[],[i_0_968]) ).

cnf(i_0_1959,plain,
    c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5) = c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1428,i_0_1953,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975]) ).

cnf(i_0_1960,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oimage(c_Fun_Ofun__upd(X4,X1,X5,X3,X6),X2,X3,X6) = c_Set_Oimage(X4,X2,X3,X6) ),
    inference(rename_variables,[],[i_0_975]) ).

cnf(i_0_1961,plain,
    hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4))) = hAPP(X1,X4),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979]) ).

cnf(i_0_1962,plain,
    ( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hAPP(X2,hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1)) = X1 ),
    inference(rename_variables,[],[i_0_979]) ).

cnf(i_0_1963,plain,
    c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,X1,X3,X4)),X5),X4,X3),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1036,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982]) ).

cnf(i_0_1964,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1965,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X4,X3,X5,X2),X1,X2,X5) ),
    inference(rename_variables,[],[i_0_982]) ).

cnf(i_0_1966,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_HOL_Oord__class_Oless(hAPP(X1,X2),tc_nat),X3,X4),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1639,i_0_1036,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006]) ).

cnf(i_0_1967,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_1968,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_1006]) ).

cnf(i_0_1969,plain,
    hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X4),X5)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1639,i_0_1036,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025]) ).

cnf(i_0_1970,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    inference(rename_variables,[],[i_0_1442]) ).

cnf(i_0_1971,plain,
    ( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
    inference(rename_variables,[],[i_0_1025]) ).

cnf(i_0_1972,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X3)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1639,i_0_1036,i_0_1037,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026]) ).

cnf(i_0_1973,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1037]) ).

cnf(i_0_1974,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1026]) ).

cnf(i_0_1975,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X4)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1639,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027]) ).

cnf(i_0_1976,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1037]) ).

cnf(i_0_1977,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    inference(rename_variables,[],[i_0_1027]) ).

cnf(i_0_1978,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1511,i_0_1639,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057]) ).

cnf(i_0_1979,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(rename_variables,[],[i_0_1511]) ).

cnf(i_0_1980,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_1057]) ).

cnf(i_0_1981,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,v_x,t_a),tc_fun(t_a,tc_bool)),c_Set_Oinsert(X1,v_uG,t_a))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1511,i_0_1639,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072]) ).

cnf(i_0_1982,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X4,X1,X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    inference(rename_variables,[],[i_0_1072]) ).

cnf(i_0_1983,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1511,i_0_1400,i_0_1639,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077]) ).

cnf(i_0_1984,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_1985,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),X4))
    | hBOOL(c_in(X1,X4,X3)) ),
    inference(rename_variables,[],[i_0_1077]) ).

cnf(i_0_1986,plain,
    c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5) = c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100]) ).

cnf(i_0_1987,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
    inference(rename_variables,[],[i_0_1100]) ).

cnf(i_0_1988,plain,
    hBOOL(hAPP(c_lessequals(v_x,tc_fun(t_a,tc_bool)),c_Set_Oinsert(X1,v_uG,t_a))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225]) ).

cnf(i_0_1989,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    inference(rename_variables,[],[i_0_1225]) ).

cnf(i_0_1990,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1967,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266]) ).

cnf(i_0_1991,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_1992,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    inference(rename_variables,[],[i_0_1266]) ).

cnf(i_0_1993,plain,
    c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1967,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277]) ).

cnf(i_0_1994,plain,
    ( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    inference(rename_variables,[],[i_0_1277]) ).

cnf(i_0_1995,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X1,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301]) ).

cnf(i_0_1996,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))) ),
    inference(rename_variables,[],[i_0_1301]) ).

cnf(i_0_1997,plain,
    c_Set_Oimage(X1,c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353]) ).

cnf(i_0_1998,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),tc_fun(X4,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_932]) ).

cnf(i_0_1999,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1353]) ).

cnf(i_0_2000,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),v_x),v_uG) = v_x,
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388]) ).

cnf(i_0_2001,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3) = X1 ),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_2002,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),v_uG),v_x) = v_x,
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389]) ).

cnf(i_0_2003,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X1) = X1 ),
    inference(rename_variables,[],[i_0_1389]) ).

cnf(i_0_2004,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1621,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391]) ).

cnf(i_0_2005,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))) ),
    inference(rename_variables,[],[i_0_1391]) ).

cnf(i_0_2006,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_1193,i_0_1513,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421]) ).

cnf(i_0_2007,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2 ),
    inference(rename_variables,[],[i_0_1421]) ).

cnf(i_0_2008,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)),v_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472]) ).

cnf(i_0_2009,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(c_Suc(X2),X1,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)) ),
    inference(rename_variables,[],[i_0_1472]) ).

cnf(i_0_2010,plain,
    c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat),tc_nat) = v_n,
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476]) ).

cnf(i_0_2011,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1 ),
    inference(rename_variables,[],[i_0_1476]) ).

cnf(i_0_2012,plain,
    c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = c_Suc(X1),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486]) ).

cnf(i_0_2013,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1 ),
    inference(rename_variables,[],[i_0_1486]) ).

cnf(i_0_2014,plain,
    c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Suc(X1),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506]) ).

cnf(i_0_2015,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X1 ),
    inference(rename_variables,[],[i_0_1506]) ).

cnf(i_0_2016,plain,
    c_Suc(X1) = c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507]) ).

cnf(i_0_2017,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | X1 = c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
    inference(rename_variables,[],[i_0_1507]) ).

cnf(i_0_2018,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518]) ).

cnf(i_0_2019,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2020,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1518]) ).

cnf(i_0_2021,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(X1)))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520]) ).

cnf(i_0_2022,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1520]) ).

cnf(i_0_2023,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(c_Suc(X1))))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521]) ).

cnf(i_0_2024,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1521]) ).

cnf(i_0_2025,plain,
    hBOOL(hAPP(c_lessequals(c_Suc(v_n),tc_nat),c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524]) ).

cnf(i_0_2026,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_Suc(X2))) ),
    inference(rename_variables,[],[i_0_1524]) ).

cnf(i_0_2027,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Suc(c_Suc(X1)))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526]) ).

cnf(i_0_2028,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2))) ),
    inference(rename_variables,[],[i_0_1526]) ).

cnf(i_0_2029,plain,
    c_Set_Oinsert(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527]) ).

cnf(i_0_2030,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) = X2 ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_2031,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(c_Suc(X1)))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551]) ).

cnf(i_0_2032,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1551]) ).

cnf(i_0_2033,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(X1)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558]) ).

cnf(i_0_2034,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2035,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1558]) ).

cnf(i_0_2036,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560]) ).

cnf(i_0_2037,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    inference(rename_variables,[],[i_0_1560]) ).

cnf(i_0_2038,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561]) ).

cnf(i_0_2039,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2040,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_2041,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Suc(X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569]) ).

cnf(i_0_2042,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1569]) ).

cnf(i_0_2043,plain,
    c_HOL_Ominus__class_Ominus(v_n,c_Finite__Set_Ocard(v_uG,t_a),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_1022,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586]) ).

cnf(i_0_2044,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1586]) ).

cnf(i_0_2045,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610]) ).

cnf(i_0_2046,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),c_Suc(X1))) ),
    inference(rename_variables,[],[i_0_1610]) ).

cnf(i_0_2047,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611]) ).

cnf(i_0_2048,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1611]) ).

cnf(i_0_2049,plain,
    hBOOL(c_in(c_Finite__Set_Ocard(v_uG,t_a),c_lessequals(v_n,tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613]) ).

cnf(i_0_2050,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_1613]) ).

cnf(i_0_2051,plain,
    ~ class_Orderings_Otop(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661]) ).

cnf(i_0_2052,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2053,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),c_Orderings_Otop__class_Otop(X2)))
    | ~ class_Orderings_Otop(X2) ),
    inference(rename_variables,[],[i_0_1661]) ).

cnf(i_0_2054,plain,
    ~ c_fequal(c_Suc(X1),X1,X2),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671]) ).

cnf(i_0_2055,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1671]) ).

cnf(i_0_2056,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740]) ).

cnf(i_0_2057,plain,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | c_Finite__Set_Ofinite(X2,X1) ),
    inference(rename_variables,[],[i_0_1740]) ).

cnf(i_0_2058,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = X1,
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744]) ).

cnf(i_0_2059,plain,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1744]) ).

cnf(i_0_2060,plain,
    hAPP(c_lessequals(v_n,tc_nat),c_Finite__Set_Ocard(v_uG,t_a)) != hAPP(hAPP(v_P,v_x),c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),
    inference(scs_inference,[],[i_0_1193,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904]) ).

cnf(i_0_2061,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923]) ).

cnf(i_0_2062,plain,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | ~ v_wt(X2) ),
    inference(rename_variables,[],[i_0_923]) ).

cnf(i_0_2063,plain,
    hBOOL(c_in(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013]) ).

cnf(i_0_2064,plain,
    ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(v_mgt(X2),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
    | hBOOL(c_in(v_sko__local__Xassms__3__1(X1,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname))
    | ~ v_wt(X2) ),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_2065,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,c_lessequals(v_n,tc_nat),X2),c_Finite__Set_Ocard(v_uG,t_a))),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411]) ).

cnf(i_0_2066,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2067,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X3,X4)) ),
    inference(rename_variables,[],[i_0_1411]) ).

cnf(i_0_2068,plain,
    c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)) != v_uG,
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791]) ).

cnf(i_0_2069,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1751]) ).

cnf(i_0_2070,plain,
    tc_bool != tc_nat,
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1763,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909]) ).

cnf(i_0_2071,plain,
    ~ c_fequal(c_Fun_Ofun__upd(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1,hAPP(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X2,X3),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),X4),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911]) ).

cnf(i_0_2072,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_1045]) ).

cnf(i_0_2073,plain,
    ~ c_fequal(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),v_uG,X1),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_1751,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912]) ).

cnf(i_0_2074,plain,
    c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),hAPP(hAPP(X1,X3),X2),X4,X5),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911]) ).

cnf(i_0_2075,plain,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1428]) ).

cnf(i_0_2076,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Ofold__graph(X4,X5,c_Set_Oinsert(X1,X2,X3),hAPP(hAPP(X4,X1),X6),X3,X7)
    | ~ c_Finite__Set_Ofold__graph(X4,X5,X2,X6,X3,X7) ),
    inference(rename_variables,[],[i_0_911]) ).

cnf(i_0_2077,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_Set_Oimage(X1,X2,X3,tc_bool)),X4) = c_Set_Oimage(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_Set_Oimage(X1,X2,X3,tc_bool)),X4),X1,X3,tc_bool),X3,tc_bool),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950]) ).

cnf(i_0_2078,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2079,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | X1 = c_Set_Oimage(X3,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X4,X1,X3,X5,X2),X5,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_950]) ).

cnf(i_0_2080,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952]) ).

cnf(i_0_2081,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2082,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3)))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_952]) ).

cnf(i_0_2083,plain,
    c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_Set_Oimage(X2,X1,X3,tc_bool)),X4),X2,X3,tc_bool),X3),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954]) ).

cnf(i_0_2084,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2085,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X4,X1,X3,X5,X2),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_954]) ).

cnf(i_0_2086,plain,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oinsert(X3,c_Set_Oimage(X1,c_Set_Oinsert(X2,X4,X5),X5,X6),X6),X6)),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965]) ).

cnf(i_0_2087,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2088,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(c_in(hAPP(X1,X6),X5,X4))
    | ~ hBOOL(c_in(X6,X2,X3)) ),
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_2089,plain,
    c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4),X1,X3),X3,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4),
    inference(scs_inference,[],[i_0_1193,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997]) ).

cnf(i_0_2090,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2091,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X5),c_Set_Oimage(X4,X1,X2,X5),X5,X2) = X1
    | ~ c_Fun_Oinj__on(X4,X3,X2,X5) ),
    inference(rename_variables,[],[i_0_997]) ).

cnf(i_0_2092,plain,
    c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,v_U,tc_Com_Opname,X1)),X3),X1),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000]) ).

cnf(i_0_2093,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2094,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_2095,plain,
    c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,v_U,tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X1,c_Set_Oinsert(X2,v_U,tc_Com_Opname),tc_Com_Opname,tc_nat),c_Finite__Set_Osetsum(X1,v_U,tc_Com_Opname,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_1037,i_0_1973,i_0_932,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005]) ).

cnf(i_0_2096,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2097,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X3,X2,tc_nat),c_Finite__Set_Osetsum(X4,X1,X2,tc_nat),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1005]) ).

cnf(i_0_2098,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107]) ).

cnf(i_0_2099,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1484]) ).

cnf(i_0_2100,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2)))
    | ~ hBOOL(c_in(X4,X3,X2)) ),
    inference(rename_variables,[],[i_0_1107]) ).

cnf(i_0_2101,plain,
    c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2,X4),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115]) ).

cnf(i_0_2102,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2103,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Fun_Oinj__on(X4,X3,X2,X5)
    | c_Fun_Oinj__on(X4,X1,X2,X5) ),
    inference(rename_variables,[],[i_0_1115]) ).

cnf(i_0_2104,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Orderings_Oord__class_Omax(X1,X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_2019,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127]) ).

cnf(i_0_2105,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2106,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_lessequals(X1,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1127]) ).

cnf(i_0_2107,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Orderings_Oord__class_Omax(X2,X1,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129]) ).

cnf(i_0_2108,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2109,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_lessequals(X2,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1129]) ).

cnf(i_0_2110,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1674,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130]) ).

cnf(i_0_2111,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1674]) ).

cnf(i_0_2112,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1130]) ).

cnf(i_0_2113,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Orderings_Oord__class_Omax(X2,X1,tc_nat)))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131]) ).

cnf(i_0_2114,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1674]) ).

cnf(i_0_2115,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1131]) ).

cnf(i_0_2116,plain,
    c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ominus__class_Ominus(v_uG,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),v_x),X1),tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),v_x),X1),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180]) ).

cnf(i_0_2117,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2118,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X1))
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X4 ),
    inference(rename_variables,[],[i_0_1180]) ).

cnf(i_0_2119,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),c_Suc(X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189]) ).

cnf(i_0_2120,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1189]) ).

cnf(i_0_2121,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(v_uG,tc_fun(t_a,tc_bool)),v_x)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_1639,i_0_1967,i_0_1991,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199]) ).

cnf(i_0_2122,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1484]) ).

cnf(i_0_2123,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1199]) ).

cnf(i_0_2124,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X2,X3,X4),X4))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200]) ).

cnf(i_0_2125,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2126,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    inference(rename_variables,[],[i_0_1200]) ).

cnf(i_0_2127,plain,
    ~ class_OrderedGroup_Opordered__ab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234]) ).

cnf(i_0_2128,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_2129,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2)))
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_1234]) ).

cnf(i_0_2130,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252]) ).

cnf(i_0_2131,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2132,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_1252]) ).

cnf(i_0_2133,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254]) ).

cnf(i_0_2134,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2135,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_1254]) ).

cnf(i_0_2136,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255]) ).

cnf(i_0_2137,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2138,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(rename_variables,[],[i_0_1255]) ).

cnf(i_0_2139,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X2),X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256]) ).

cnf(i_0_2140,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2141,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(rename_variables,[],[i_0_1256]) ).

cnf(i_0_2142,plain,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260]) ).

cnf(i_0_2143,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1752]) ).

cnf(i_0_2144,plain,
    ( ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | hBOOL(c_in(X1,X3,X4))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1260]) ).

cnf(i_0_2145,plain,
    ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)),X4)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264]) ).

cnf(i_0_2146,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_1443]) ).

cnf(i_0_2147,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    inference(rename_variables,[],[i_0_1442]) ).

cnf(i_0_2148,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ hBOOL(c_in(X4,X3,X1))
    | ~ hBOOL(c_in(X4,X2,X1)) ),
    inference(rename_variables,[],[i_0_1264]) ).

cnf(i_0_2149,plain,
    c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,v_U,tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oinsert(X1,v_U,tc_Com_Opname),tc_Com_Opname),c_Finite__Set_Ocard(v_U,tc_Com_Opname),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281]) ).

cnf(i_0_2150,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2151,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X3,X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1281]) ).

cnf(i_0_2152,plain,
    ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285]) ).

cnf(i_0_2153,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2154,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X3,X2))
    | ~ hBOOL(c_in(X4,X1,X2)) ),
    inference(rename_variables,[],[i_0_1285]) ).

cnf(i_0_2155,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),c_Finite__Set_Ocard(v_uG,t_a),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_1037,i_0_1973,i_0_932,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288]) ).

cnf(i_0_2156,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
    | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X3,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1288]) ).

cnf(i_0_2157,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297]) ).

cnf(i_0_2158,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2159,plain,
    hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1403]) ).

cnf(i_0_2160,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X2,tc_bool)),X1))
    | X3 = X1 ),
    inference(rename_variables,[],[i_0_1297]) ).

cnf(i_0_2161,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303]) ).

cnf(i_0_2162,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2163,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1303]) ).

cnf(i_0_2164,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305]) ).

cnf(i_0_2165,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2166,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1305]) ).

cnf(i_0_2167,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307]) ).

cnf(i_0_2168,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2169,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1307]) ).

cnf(i_0_2170,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309]) ).

cnf(i_0_2171,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2172,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1309]) ).

cnf(i_0_2173,plain,
    hBOOL(hAPP(c_lessequals(hAPP(v_x,X1),tc_bool),hAPP(v_uG,X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312]) ).

cnf(i_0_2174,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,X3)),X4))
    | hBOOL(hAPP(c_lessequals(hAPP(X1,X5),X3),hAPP(X4,X5)))
    | ~ class_HOL_Oord(X3) ),
    inference(rename_variables,[],[i_0_1312]) ).

cnf(i_0_2175,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320]) ).

cnf(i_0_2176,plain,
    ( hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))) ),
    inference(rename_variables,[],[i_0_1320]) ).

cnf(i_0_2177,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Com_Opname,tc_bool)),v_U),X1),tc_Com_Opname),tc_nat),c_Finite__Set_Ocard(v_U,tc_Com_Opname))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323]) ).

cnf(i_0_2178,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2179,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1323]) ).

cnf(i_0_2180,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(X1,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356]) ).

cnf(i_0_2181,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1356]) ).

cnf(i_0_2182,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357]) ).

cnf(i_0_2183,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1357]) ).

cnf(i_0_2184,plain,
    c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360]) ).

cnf(i_0_2185,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2186,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_1360]) ).

cnf(i_0_2187,plain,
    hBOOL(hAPP(c_lessequals(v_n,tc_nat),c_Orderings_Oord__class_Omax(c_Finite__Set_Ocard(v_uG,t_a),X1,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370]) ).

cnf(i_0_2188,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),c_Orderings_Oord__class_Omax(X3,X4,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1370]) ).

cnf(i_0_2189,plain,
    hBOOL(hAPP(c_lessequals(v_n,tc_nat),c_Orderings_Oord__class_Omax(X1,c_Finite__Set_Ocard(v_uG,t_a),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372]) ).

cnf(i_0_2190,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),c_Orderings_Oord__class_Omax(X4,X3,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1372]) ).

cnf(i_0_2191,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Orderings_Oord__class_Omax(c_Suc(X1),X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374]) ).

cnf(i_0_2192,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),c_Orderings_Oord__class_Omax(X3,X4,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1374]) ).

cnf(i_0_2193,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376]) ).

cnf(i_0_2194,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),c_Orderings_Oord__class_Omax(X4,X3,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1376]) ).

cnf(i_0_2195,plain,
    hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(v_uG,t_a),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407]) ).

cnf(i_0_2196,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1407]) ).

cnf(i_0_2197,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408]) ).

cnf(i_0_2198,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1408]) ).

cnf(i_0_2199,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423]) ).

cnf(i_0_2200,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2201,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_1423]) ).

cnf(i_0_2202,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424]) ).

cnf(i_0_2203,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2204,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1424]) ).

cnf(i_0_2205,plain,
    c_Finite__Set_Ocard(c_Set_Oinsert(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname),tc_Com_Opname) = c_Finite__Set_Ocard(v_U,tc_Com_Opname),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431]) ).

cnf(i_0_2206,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1431]) ).

cnf(i_0_2207,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)),tc_nat),v_n)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456]) ).

cnf(i_0_2208,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2209,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
    inference(rename_variables,[],[i_0_1456]) ).

cnf(i_0_2210,plain,
    c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Com_Opname,tc_bool)),v_U),X1),tc_Com_Opname),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461]) ).

cnf(i_0_2211,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2212,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1461]) ).

cnf(i_0_2213,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463]) ).

cnf(i_0_2214,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_1463]) ).

cnf(i_0_2215,plain,
    hBOOL(c_in(c_HOL_Ozero__class_Ozero(tc_nat),c_SetInterval_Oord__class_OlessThan(c_Suc(X1),tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467]) ).

cnf(i_0_2216,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X3,X2),X2))
    | ~ class_HOL_Oord(X2) ),
    inference(rename_variables,[],[i_0_1467]) ).

cnf(i_0_2217,plain,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487]) ).

cnf(i_0_2218,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2219,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1)))
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_2220,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491]) ).

cnf(i_0_2221,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1491]) ).

cnf(i_0_2222,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493]) ).

cnf(i_0_2223,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_2224,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X1))),tc_nat),c_Suc(X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494]) ).

cnf(i_0_2225,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2226,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497]) ).

cnf(i_0_2227,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1497]) ).

cnf(i_0_2228,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X1))),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1614,i_0_2034,i_0_2052,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498]) ).

cnf(i_0_2229,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1498]) ).

cnf(i_0_2230,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512]) ).

cnf(i_0_2231,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1345]) ).

cnf(i_0_2232,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_2233,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1512]) ).

cnf(i_0_2234,plain,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528]) ).

cnf(i_0_2235,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | c_Suc(X1) = X2 ),
    inference(rename_variables,[],[i_0_1528]) ).

cnf(i_0_2236,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(c_Suc(c_Suc(X1))))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545]) ).

cnf(i_0_2237,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1545]) ).

cnf(i_0_2238,plain,
    hBOOL(hAPP(c_lessequals(v_n,tc_nat),c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546]) ).

cnf(i_0_2239,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1546]) ).

cnf(i_0_2240,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566]) ).

cnf(i_0_2241,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_2242,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1566]) ).

cnf(i_0_2243,plain,
    c_Orderings_Oord__class_Omax(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat) = c_Finite__Set_Ocard(v_uG,t_a),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572]) ).

cnf(i_0_2244,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | c_Orderings_Oord__class_Omax(X3,X1,X2) = X3
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_2245,plain,
    c_Orderings_Oord__class_Omax(v_n,c_Finite__Set_Ocard(v_uG,t_a),tc_nat) = c_Finite__Set_Ocard(v_uG,t_a),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573]) ).

cnf(i_0_2246,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | c_Orderings_Oord__class_Omax(X1,X3,X2) = X3
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1573]) ).

cnf(i_0_2247,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),v_n),c_Finite__Set_Ocard(v_uG,t_a)) = v_n,
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575]) ).

cnf(i_0_2248,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1575]) ).

cnf(i_0_2249,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Finite__Set_Ocard(v_uG,t_a)),v_n) = v_n,
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576]) ).

cnf(i_0_2250,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X1) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2251,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),v_n),c_Finite__Set_Ocard(v_uG,t_a)) = v_n,
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577]) ).

cnf(i_0_2252,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2253,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Finite__Set_Ocard(v_uG,t_a)),v_n) = v_n,
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578]) ).

cnf(i_0_2254,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1578]) ).

cnf(i_0_2255,plain,
    ~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581]) ).

cnf(i_0_2256,plain,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
    inference(rename_variables,[],[i_0_1152]) ).

cnf(i_0_2257,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    inference(rename_variables,[],[i_0_1633]) ).

cnf(i_0_2258,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2259,plain,
    c_Orderings_Oord__class_Omax(c_Suc(X1),X1,tc_nat) != X1,
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584]) ).

cnf(i_0_2260,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | c_Orderings_Oord__class_Omax(X1,X3,X2) != X3
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1584]) ).

cnf(i_0_2261,plain,
    hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X4)) = X4,
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595]) ).

cnf(i_0_2262,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
    | X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_1595]) ).

cnf(i_0_2263,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Suc(X1)),X1) != c_Suc(X1),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597]) ).

cnf(i_0_2264,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3) != X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1597]) ).

cnf(i_0_2265,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Suc(X1)),X1) != c_Suc(X1),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598]) ).

cnf(i_0_2266,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) != X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1598]) ).

cnf(i_0_2267,plain,
    hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(v_uG,t_a),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599]) ).

cnf(i_0_2268,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1599]) ).

cnf(i_0_2269,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603]) ).

cnf(i_0_2270,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1603]) ).

cnf(i_0_2271,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619]) ).

cnf(i_0_2272,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_2273,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2274,plain,
    ~ class_OrderedGroup_Ogroup__add(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659]) ).

cnf(i_0_2275,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1718]) ).

cnf(i_0_2276,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1752]) ).

cnf(i_0_2277,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(rename_variables,[],[i_0_1659]) ).

cnf(i_0_2278,plain,
    ~ class_OrderedGroup_Oab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660]) ).

cnf(i_0_2279,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1718]) ).

cnf(i_0_2280,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1752]) ).

cnf(i_0_2281,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(rename_variables,[],[i_0_1660]) ).

cnf(i_0_2282,plain,
    c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(tc_nat),X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat,tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909]) ).

cnf(i_0_2283,plain,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1428]) ).

cnf(i_0_2284,plain,
    c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
    inference(rename_variables,[],[i_0_934]) ).

cnf(i_0_2285,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X3),X4,c_Set_Oinsert(X1,X2,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X5),X3,X3)
    | ~ c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X3),X1,X2,X5,X3,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(rename_variables,[],[i_0_909]) ).

cnf(i_0_2286,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930]) ).

cnf(i_0_2287,plain,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1428]) ).

cnf(i_0_2288,plain,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
    inference(rename_variables,[],[i_0_1469]) ).

cnf(i_0_2289,plain,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
    inference(rename_variables,[],[i_0_1469]) ).

cnf(i_0_2290,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
    inference(rename_variables,[],[i_0_930]) ).

cnf(i_0_2291,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),X2,X2),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931]) ).

cnf(i_0_2292,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
    inference(rename_variables,[],[i_0_931]) ).

cnf(i_0_2293,plain,
    ~ hBOOL(c_in(X1,c_Set_Oimage(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4),X3,X3),X3)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949]) ).

cnf(i_0_2294,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2295,plain,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1428]) ).

cnf(i_0_2296,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X1,X4,X2,X5),X6),X3,X2))
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X4,X1,X2,X5),X5))
    | ~ c_Fun_Oinj__on(X4,X1,X2,X5) ),
    inference(rename_variables,[],[i_0_949]) ).

cnf(i_0_2297,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X3,tc_bool,X1)),X4),X1),tc_nat),c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X3,X2,tc_bool,X1),c_Set_Oimage(X2,X3,tc_bool,X1),X1,tc_bool)),c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X3,X2,tc_bool,X1),X4,X1,tc_bool)),tc_bool))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959]) ).

cnf(i_0_2298,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),tc_fun(X5,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)))),
    inference(rename_variables,[],[i_0_914]) ).

cnf(i_0_2299,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X2,X3),tc_nat),c_Finite__Set_Ocard(X5,X4)))
    | ~ c_Finite__Set_Ofinite(X5,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(rename_variables,[],[i_0_959]) ).

cnf(i_0_2300,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969]) ).

cnf(i_0_2301,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1484]) ).

cnf(i_0_2302,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3)))
    | hBOOL(c_in(X2,X4,X3))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_969]) ).

cnf(i_0_2303,plain,
    c_Finite__Set_Osetsum(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070]) ).

cnf(i_0_2304,plain,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1428]) ).

cnf(i_0_2305,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Osetsum(X4,c_Set_Oinsert(X1,X2,X3),X3,X5) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(X4,X1)),c_Finite__Set_Osetsum(X4,X2,X3,X5))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X5)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1070]) ).

cnf(i_0_2306,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132]) ).

cnf(i_0_2307,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2308,plain,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1428]) ).

cnf(i_0_2309,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2)))
    | hBOOL(c_in(X4,X1,X2))
    | hBOOL(c_in(X4,X3,X2)) ),
    inference(rename_variables,[],[i_0_1132]) ).

cnf(i_0_2310,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),X1),tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153]) ).

cnf(i_0_2311,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(rename_variables,[],[i_0_1367]) ).

cnf(i_0_2312,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2313,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1153]) ).

cnf(i_0_2314,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165]) ).

cnf(i_0_2315,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2316,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),c_HOL_Ozero__class_Ozero(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),c_HOL_Ozero__class_Ozero(X2)))
    | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2),c_HOL_Ozero__class_Ozero(X2)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1165]) ).

cnf(i_0_2317,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184]) ).

cnf(i_0_2318,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2319,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X3),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1184]) ).

cnf(i_0_2320,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276]) ).

cnf(i_0_2321,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2322,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1666]) ).

cnf(i_0_2323,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_1276]) ).

cnf(i_0_2324,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392]) ).

cnf(i_0_2325,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_2326,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2327,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1752]) ).

cnf(i_0_2328,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
    | c_HOL_Ominus__class_Ominus(X3,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_1392]) ).

cnf(i_0_2329,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(v_n,X1,tc_nat),tc_nat),c_Finite__Set_Ocard(v_uG,t_a))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413]) ).

cnf(i_0_2330,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1345]) ).

cnf(i_0_2331,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1413]) ).

cnf(i_0_2332,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat),c_Suc(v_n))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414]) ).

cnf(i_0_2333,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2334,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X4,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1414]) ).

cnf(i_0_2335,plain,
    ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415]) ).

cnf(i_0_2336,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2337,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1415]) ).

cnf(i_0_2338,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(v_uG,t_a),tc_nat),v_n)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416]) ).

cnf(i_0_2339,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2340,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1416]) ).

cnf(i_0_2341,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)),tc_nat),v_n)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417]) ).

cnf(i_0_2342,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2343,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1417]) ).

cnf(i_0_2344,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)),tc_nat),c_Suc(v_n))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418]) ).

cnf(i_0_2345,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2346,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1418]) ).

cnf(i_0_2347,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Suc(X1))),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419]) ).

cnf(i_0_2348,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2349,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1419]) ).

cnf(i_0_2350,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420]) ).

cnf(i_0_2351,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2352,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1420]) ).

cnf(i_0_2353,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425]) ).

cnf(i_0_2354,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2355,plain,
    hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1552]) ).

cnf(i_0_2356,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),c_Finite__Set_Olinorder__class_OMax(X3,X2)))
    | ~ hBOOL(c_in(X1,X3,X2))
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1425]) ).

cnf(i_0_2357,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(v_uG,t_a),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466]) ).

cnf(i_0_2358,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1466]) ).

cnf(i_0_2359,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490]) ).

cnf(i_0_2360,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_2361,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | X1 = X3
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1490]) ).

cnf(i_0_2362,plain,
    c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535]) ).

cnf(i_0_2363,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | X3 = X1
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1535]) ).

cnf(i_0_2364,plain,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539]) ).

cnf(i_0_2365,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | X1 = X3
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1539]) ).

cnf(i_0_2366,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541]) ).

cnf(i_0_2367,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_2368,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_1541]) ).

cnf(i_0_2369,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591]) ).

cnf(i_0_2370,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_2371,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_1591]) ).

cnf(i_0_2372,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271]) ).

cnf(i_0_2373,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2374,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2375,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1271]) ).

cnf(i_0_2376,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272]) ).

cnf(i_0_2377,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2378,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2379,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1272]) ).

cnf(i_0_2380,plain,
    ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(X1)),X2),tc_nat),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273]) ).

cnf(i_0_2381,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2382,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1273]) ).

cnf(i_0_2383,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274]) ).

cnf(i_0_2384,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2385,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2386,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1274]) ).

cnf(i_0_2387,plain,
    c_Finite__Set_Osetprod(c_Fun_Ofun__upd(X1,v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),c_HOL_Ozero__class_Ozero(tc_nat),X2,X3),v_U,tc_Com_Opname,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350]) ).

cnf(i_0_2388,plain,
    hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
    inference(rename_variables,[],[i_0_987]) ).

cnf(i_0_2389,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Osetprod(X4,X2,X3,X5) = c_HOL_Ozero__class_Ozero(X5)
    | hAPP(X4,X1) != c_HOL_Ozero__class_Ozero(X5)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_2390,plain,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362]) ).

cnf(i_0_2391,plain,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1749]) ).

cnf(i_0_2392,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) != c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_1362]) ).

cnf(i_0_2393,plain,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))))),c_Suc(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))))) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363]) ).

cnf(i_0_2394,plain,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1749]) ).

cnf(i_0_2395,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) != c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_1363]) ).

cnf(i_0_2396,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Com_Opname,tc_bool)),v_U),X2),tc_Com_Opname,tc_nat),tc_nat),c_Finite__Set_Osetsum(X1,v_U,tc_Com_Opname,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898]) ).

cnf(i_0_2397,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_2398,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_2399,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X4),X4),hAPP(X5,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1(X1,X3,X5,X2,X4))))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X5,X1,X2,X4),X4),c_Finite__Set_Osetsum(X5,X3,X2,X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_898]) ).

cnf(i_0_2400,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Com_Opname,tc_bool)),X2),v_U),tc_Com_Opname,tc_nat),tc_nat),c_Finite__Set_Osetsum(X1,v_U,tc_Com_Opname,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899]) ).

cnf(i_0_2401,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1037]) ).

cnf(i_0_2402,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_2403,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X4),X4),hAPP(X5,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1(X1,X3,X5,X2,X4))))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X5,X1,X2,X4),X4),c_Finite__Set_Osetsum(X5,X3,X2,X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2404,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X3,tc_nat,X4),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919]) ).

cnf(i_0_2405,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6) ),
    inference(rename_variables,[],[i_0_919]) ).

cnf(i_0_2406,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475]) ).

cnf(i_0_2407,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1475]) ).

cnf(i_0_2408,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,tc_nat),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502]) ).

cnf(i_0_2409,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1502]) ).

cnf(i_0_2410,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Orderings_Oord__class_Omax(c_Suc(X1),X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509]) ).

cnf(i_0_2411,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1509]) ).

cnf(i_0_2412,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544]) ).

cnf(i_0_2413,plain,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1544]) ).

cnf(i_0_2414,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585]) ).

cnf(i_0_2415,plain,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1585]) ).

cnf(i_0_2416,plain,
    hBOOL(hAPP(c_lessequals(c_Suc(v_n),tc_nat),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620]) ).

cnf(i_0_2417,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2418,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629]) ).

cnf(i_0_2419,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1629]) ).

cnf(i_0_2420,plain,
    c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668]) ).

cnf(i_0_2421,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1668]) ).

cnf(i_0_2422,plain,
    ( class_Lattices_Olower__semilattice(X1)
    | tc_bool != X1 ),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866]) ).

cnf(i_0_2423,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X3,hAPP(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X3),X4,X5),X6,tc_nat,X7),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877]) ).

cnf(i_0_2424,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_1045]) ).

cnf(i_0_2425,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X3,c_Fun_Ofun__upd(tc_nat,X4,hAPP(tc_nat,X4),X5,X6),X7),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879]) ).

cnf(i_0_2426,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_1045]) ).

cnf(i_0_2427,plain,
    ~ c_Finite__Set_Ofinite(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X1,hAPP(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X1),X2,X3),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920]) ).

cnf(i_0_2428,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_1045]) ).

cnf(i_0_2429,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921]) ).

cnf(i_0_2430,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_1045]) ).

cnf(i_0_2431,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),X4,tc_nat,X5),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905]) ).

cnf(i_0_2432,plain,
    hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1552]) ).

cnf(i_0_2433,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Finite__Set_Ofold__graph(X4,X5,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)),X6,X3,X7)
    | c_Finite__Set_Ofold__graph(X4,X5,X2,hAPP(hAPP(X4,X1),X6),X3,X7) ),
    inference(rename_variables,[],[i_0_905]) ).

cnf(i_0_2434,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151]) ).

cnf(i_0_2435,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    inference(rename_variables,[],[i_0_1442]) ).

cnf(i_0_2436,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2)))
    | ~ hBOOL(c_in(X4,X3,X2)) ),
    inference(rename_variables,[],[i_0_1151]) ).

cnf(i_0_2437,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201]) ).

cnf(i_0_2438,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1484]) ).

cnf(i_0_2439,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1201]) ).

cnf(i_0_2440,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275]) ).

cnf(i_0_2441,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,X3)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,X3)),X1))
    | ~ class_HOL_Oord(X3) ),
    inference(rename_variables,[],[i_0_1275]) ).

cnf(i_0_2442,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349]) ).

cnf(i_0_2443,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,X3)),X4))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,X3)),X4))
    | ~ class_HOL_Oord(X3) ),
    inference(rename_variables,[],[i_0_1349]) ).

cnf(i_0_2444,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548]) ).

cnf(i_0_2445,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1666]) ).

cnf(i_0_2446,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1548]) ).

cnf(i_0_2447,plain,
    ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105]) ).

cnf(i_0_2448,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_1105]) ).

cnf(i_0_2449,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),X1),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_2114,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105,i_0_1106]) ).

cnf(i_0_2450,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1674]) ).

cnf(i_0_2451,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_1106]) ).

cnf(i_0_2452,plain,
    hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_2114,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_2385,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105,i_0_1106,i_0_1240]) ).

cnf(i_0_2453,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2454,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),c_Orderings_Oord__class_Omax(X3,X4,X2)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1240]) ).

cnf(i_0_2455,plain,
    ( tc_bool != tc_fun(tc_nat,tc_bool)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)))) ),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_2185,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_2114,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_2385,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105,i_0_1106,i_0_1240,i_0_1294]) ).

cnf(i_0_2456,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2457,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1294]) ).

cnf(i_0_2458,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(tc_nat,tc_bool))
    | tc_bool != tc_fun(tc_nat,tc_bool) ),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_2256,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_2185,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_2114,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_2385,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_2159,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105,i_0_1106,i_0_1240,i_0_1294,i_0_1396]) ).

cnf(i_0_2459,plain,
    hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1403]) ).

cnf(i_0_2460,plain,
    c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
    inference(rename_variables,[],[i_0_1152]) ).

cnf(i_0_2461,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X4,X2),X5))
    | c_HOL_Ominus__class_Ominus(X5,X4,X2) != c_HOL_Ominus__class_Ominus(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_1396]) ).

cnf(i_0_2462,plain,
    ( tc_bool != tc_fun(tc_nat,tc_bool)
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat)))) ),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_2256,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_2185,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_2114,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_2385,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_2159,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105,i_0_1106,i_0_1240,i_0_1294,i_0_1396,i_0_1061]) ).

cnf(i_0_2463,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X4,X1,X2),tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1061]) ).

cnf(i_0_2464,plain,
    ( tc_bool != tc_fun(tc_nat,tc_bool)
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat)))) ),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_2256,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_2185,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_2114,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_2385,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_2159,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105,i_0_1106,i_0_1240,i_0_1294,i_0_1396,i_0_1061,i_0_1361]) ).

cnf(i_0_2465,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1361]) ).

cnf(i_0_2466,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(X1)
    | tc_bool != tc_fun(tc_nat,tc_bool)
    | tc_nat != X1 ),
    inference(scs_inference,[],[i_0_1193,i_0_1745,i_0_1756,i_0_1513,i_0_1653,i_0_1621,i_0_934,i_0_1751,i_0_1752,i_0_2143,i_0_2276,i_0_2280,i_0_1469,i_0_1749,i_0_2391,i_0_1760,i_0_1762,i_0_1763,i_0_1765,i_0_1767,i_0_1768,i_0_1769,i_0_1772,i_0_1774,i_0_1776,i_0_1779,i_0_1780,i_0_1781,i_0_1783,i_0_1786,i_0_1787,i_0_1788,i_0_1045,i_0_2072,i_0_2424,i_0_2426,i_0_2428,i_0_987,i_0_1152,i_0_2256,i_0_1710,i_0_1633,i_0_1718,i_0_2275,i_0_1443,i_0_1442,i_0_1970,i_0_2147,i_0_1511,i_0_1666,i_0_2322,i_0_2445,i_0_1400,i_0_1984,i_0_2066,i_0_2081,i_0_2087,i_0_2096,i_0_2125,i_0_2150,i_0_2185,i_0_1639,i_0_1967,i_0_1991,i_0_2039,i_0_2131,i_0_2134,i_0_2137,i_0_2140,i_0_2200,i_0_2203,i_0_2318,i_0_2321,i_0_2336,i_0_2339,i_0_2342,i_0_2345,i_0_2348,i_0_2351,i_0_2381,i_0_1674,i_0_2111,i_0_2114,i_0_1686,i_0_2019,i_0_2105,i_0_2108,i_0_2162,i_0_2165,i_0_2168,i_0_2171,i_0_2218,i_0_2315,i_0_2326,i_0_2374,i_0_2378,i_0_2385,i_0_1333,i_0_1632,i_0_2128,i_0_2241,i_0_2272,i_0_2367,i_0_1036,i_0_1964,i_0_2078,i_0_2084,i_0_2090,i_0_2093,i_0_2102,i_0_2117,i_0_2153,i_0_2158,i_0_2178,i_0_2211,i_0_2294,i_0_2307,i_0_2312,i_0_1037,i_0_1973,i_0_1976,i_0_932,i_0_1403,i_0_2159,i_0_1484,i_0_2099,i_0_2122,i_0_2301,i_0_914,i_0_1428,i_0_1953,i_0_2075,i_0_2283,i_0_2287,i_0_2295,i_0_2304,i_0_1552,i_0_2355,i_0_1367,i_0_1672,i_0_2232,i_0_2325,i_0_2360,i_0_2398,i_0_1614,i_0_2034,i_0_2052,i_0_2208,i_0_2333,i_0_2354,i_0_2373,i_0_1345,i_0_2231,i_0_1022,i_0_1298,i_0_1433,i_0_1562,i_0_1790,i_0_962,i_0_966,i_0_968,i_0_975,i_0_979,i_0_982,i_0_1006,i_0_1025,i_0_1026,i_0_1027,i_0_1057,i_0_1072,i_0_1077,i_0_1100,i_0_1225,i_0_1266,i_0_1277,i_0_1301,i_0_1353,i_0_1388,i_0_1389,i_0_1391,i_0_1421,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1518,i_0_1520,i_0_1521,i_0_1524,i_0_1526,i_0_1527,i_0_1551,i_0_1558,i_0_1560,i_0_1561,i_0_1569,i_0_1586,i_0_1610,i_0_1611,i_0_1613,i_0_1661,i_0_1671,i_0_1740,i_0_1744,i_0_1904,i_0_923,i_0_1013,i_0_1411,i_0_1791,i_0_1909,i_0_1911,i_0_1912,i_0_911,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1180,i_0_1189,i_0_1199,i_0_1200,i_0_1234,i_0_1252,i_0_1254,i_0_1255,i_0_1256,i_0_1260,i_0_1264,i_0_1281,i_0_1285,i_0_1288,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1312,i_0_1320,i_0_1323,i_0_1356,i_0_1357,i_0_1360,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1423,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1487,i_0_1491,i_0_1493,i_0_1494,i_0_1497,i_0_1498,i_0_1512,i_0_1528,i_0_1545,i_0_1546,i_0_1566,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1581,i_0_1584,i_0_1595,i_0_1597,i_0_1598,i_0_1599,i_0_1603,i_0_1619,i_0_1659,i_0_1660,i_0_909,i_0_930,i_0_931,i_0_949,i_0_959,i_0_969,i_0_1070,i_0_1132,i_0_1153,i_0_1165,i_0_1184,i_0_1276,i_0_1392,i_0_1413,i_0_1414,i_0_1415,i_0_1416,i_0_1417,i_0_1418,i_0_1419,i_0_1420,i_0_1425,i_0_1466,i_0_1490,i_0_1535,i_0_1539,i_0_1541,i_0_1591,i_0_1271,i_0_1272,i_0_1273,i_0_1274,i_0_1350,i_0_1362,i_0_1363,i_0_898,i_0_899,i_0_919,i_0_1475,i_0_1502,i_0_1509,i_0_1544,i_0_1585,i_0_1620,i_0_1629,i_0_1668,i_0_1866,i_0_1877,i_0_1879,i_0_1920,i_0_1921,i_0_905,i_0_1151,i_0_1201,i_0_1275,i_0_1349,i_0_1548,i_0_1105,i_0_1106,i_0_1240,i_0_1294,i_0_1396,i_0_1061,i_0_1361,i_0_1885]) ).

cnf(i_0_2467,plain,
    class_Lattices_Olower__semilattice(tc_bool),
    inference(equality_inference,[],[2422]) ).

cnf(i_0_2468,plain,
    ~ class_Lattices_Obounded__lattice(tc_nat),
    inference(scs_inference,[],[i_0_2265,i_0_1709]) ).

cnf(i_0_2469,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Suc(X1)),X1) != c_Suc(X1),
    inference(rename_variables,[],[i_0_2265]) ).

cnf(i_0_2470,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(rename_variables,[],[i_0_1709]) ).

cnf(i_0_2471,plain,
    hBOOL(hAPP(hAPP(v_P,X1),X1)),
    inference(scs_inference,[],[i_0_1593,i_0_2265,i_0_1709,i_0_1433]) ).

cnf(i_0_2472,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2473,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(t_a,tc_bool)),X2))
    | hBOOL(hAPP(hAPP(v_P,X2),X1)) ),
    inference(rename_variables,[],[i_0_1433]) ).

cnf(i_0_2474,plain,
    ~ hBOOL(c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_x),X1)),
    inference(scs_inference,[],[i_0_2061,i_0_1593,i_0_2265,i_0_1709,i_0_1433,i_0_1562]) ).

cnf(i_0_2475,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_1562]) ).

cnf(i_0_2476,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2),X3,tc_nat),tc_fun(X3,tc_bool)),c_Set_Ovimage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),X3,tc_nat))),
    inference(scs_inference,[],[i_0_2061,i_0_1593,i_0_2265,i_0_2442,i_0_1709,i_0_1433,i_0_1562,i_0_966]) ).

cnf(i_0_2477,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X4,X1,X5,X2),tc_fun(X5,tc_bool)),c_Set_Ovimage(X4,X3,X5,X2))) ),
    inference(rename_variables,[],[i_0_966]) ).

cnf(i_0_2478,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2),tc_nat,X3),tc_fun(X3,tc_bool)),c_Set_Oimage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat,X3))),
    inference(scs_inference,[],[i_0_2061,i_0_1593,i_0_2265,i_0_2442,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968]) ).

cnf(i_0_2479,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X4,X3,X2,X5))) ),
    inference(rename_variables,[],[i_0_968]) ).

cnf(i_0_2480,plain,
    c_Set_Oimage(c_Fun_Ofun__upd(X1,c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X2,X3,X4),hAPP(v_P,v_x),X3,X4) = c_Set_Oimage(X1,hAPP(v_P,v_x),X3,X4),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2265,i_0_2442,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975]) ).

cnf(i_0_2481,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oimage(c_Fun_Ofun__upd(X4,X1,X5,X3,X6),X2,X3,X6) = c_Set_Oimage(X4,X2,X3,X6) ),
    inference(rename_variables,[],[i_0_975]) ).

cnf(i_0_2482,plain,
    c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2472,i_0_2265,i_0_2442,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982]) ).

cnf(i_0_2483,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2484,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X4,X3,X5,X2),X1,X2,X5) ),
    inference(rename_variables,[],[i_0_982]) ).

cnf(i_0_2485,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_HOL_Oord__class_Oless(hAPP(X2,hAPP(X1,X3)),tc_nat),X4,X5),X6,X7),X3)),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2472,i_0_1966,i_0_2265,i_0_2442,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006]) ).

cnf(i_0_2486,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_HOL_Oord__class_Oless(hAPP(X1,X2),tc_nat),X3,X4),X2)),
    inference(rename_variables,[],[i_0_1966]) ).

cnf(i_0_2487,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_1006]) ).

cnf(i_0_2488,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2)),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2472,i_0_1966,i_0_2265,i_0_2442,i_0_1178,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026]) ).

cnf(i_0_2489,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1178]) ).

cnf(i_0_2490,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1026]) ).

cnf(i_0_2491,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X3)),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2472,i_0_1966,i_0_2265,i_0_2442,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027]) ).

cnf(i_0_2492,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1178]) ).

cnf(i_0_2493,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4)) ),
    inference(rename_variables,[],[i_0_1027]) ).

cnf(i_0_2494,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_lessequals(hAPP(X1,X2),tc_fun(X3,tc_bool)),X4,X5),X2)),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2472,i_0_2483,i_0_1966,i_0_2265,i_0_2442,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057]) ).

cnf(i_0_2495,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2496,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_1057]) ).

cnf(i_0_2497,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X3))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2472,i_0_2483,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061]) ).

cnf(i_0_2498,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X4,X1,X2),tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1061]) ).

cnf(i_0_2499,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2),tc_nat),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_1593,i_0_2472,i_0_2483,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072]) ).

cnf(i_0_2500,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X4,X1,X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    inference(rename_variables,[],[i_0_1072]) ).

cnf(i_0_2501,plain,
    c_Set_Oinsert(hAPP(X1,v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call)),c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),X2) = c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1593,i_0_2472,i_0_2483,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100]) ).

cnf(i_0_2502,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
    inference(rename_variables,[],[i_0_1100]) ).

cnf(i_0_2503,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),c_Set_Oinsert(X5,X3,X1))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225]) ).

cnf(i_0_2504,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2))) ),
    inference(rename_variables,[],[i_0_1225]) ).

cnf(i_0_2505,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266]) ).

cnf(i_0_2506,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2507,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
    inference(rename_variables,[],[i_0_1266]) ).

cnf(i_0_2508,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X3))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361]) ).

cnf(i_0_2509,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1361]) ).

cnf(i_0_2510,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388]) ).

cnf(i_0_2511,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3) = X1 ),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_2512,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389]) ).

cnf(i_0_2513,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X1) = X1 ),
    inference(rename_variables,[],[i_0_1389]) ).

cnf(i_0_2514,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391]) ).

cnf(i_0_2515,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))) ),
    inference(rename_variables,[],[i_0_1391]) ).

cnf(i_0_2516,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))),c_Suc(v_n),tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),c_Suc(v_n),tc_nat)),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472]) ).

cnf(i_0_2517,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(c_Suc(X2),X1,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)) ),
    inference(rename_variables,[],[i_0_1472]) ).

cnf(i_0_2518,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),c_Suc(v_n),tc_nat),tc_nat) = c_Suc(v_n),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476]) ).

cnf(i_0_2519,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1 ),
    inference(rename_variables,[],[i_0_1476]) ).

cnf(i_0_2520,plain,
    c_Suc(c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486]) ).

cnf(i_0_2521,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1 ),
    inference(rename_variables,[],[i_0_1486]) ).

cnf(i_0_2522,plain,
    c_Suc(c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506]) ).

cnf(i_0_2523,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X1 ),
    inference(rename_variables,[],[i_0_1506]) ).

cnf(i_0_2524,plain,
    c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507]) ).

cnf(i_0_2525,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | X1 = c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
    inference(rename_variables,[],[i_0_1507]) ).

cnf(i_0_2526,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),tc_nat),c_Suc(c_Suc(X1)))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526]) ).

cnf(i_0_2527,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2))) ),
    inference(rename_variables,[],[i_0_1526]) ).

cnf(i_0_2528,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(v_n),tc_nat),c_Suc(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))))),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560]) ).

cnf(i_0_2529,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2))) ),
    inference(rename_variables,[],[i_0_1560]) ).

cnf(i_0_2530,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(v_n),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586]) ).

cnf(i_0_2531,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1586]) ).

cnf(i_0_2532,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(X1)),X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611]) ).

cnf(i_0_2533,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1611]) ).

cnf(i_0_2534,plain,
    hBOOL(c_in(v_uG,c_lessequals(v_x,tc_fun(t_a,tc_bool)),X1)),
    inference(scs_inference,[],[i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613]) ).

cnf(i_0_2535,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_1613]) ).

cnf(i_0_2536,plain,
    ~ c_fequal(hAPP(c_lessequals(v_n,tc_nat),c_Finite__Set_Ocard(v_uG,t_a)),hAPP(hAPP(v_P,v_x),c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),X1),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671]) ).

cnf(i_0_2537,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1671]) ).

cnf(i_0_2538,plain,
    X1 = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744]) ).

cnf(i_0_2539,plain,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1744]) ).

cnf(i_0_2540,plain,
    hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Set_Oinsert(X2,X3,X4),X1,X4,X5),hAPP(X1,X2))) = hAPP(X1,X2),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979]) ).

cnf(i_0_2541,plain,
    ( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hAPP(X2,hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1)) = X1 ),
    inference(rename_variables,[],[i_0_979]) ).

cnf(i_0_2542,plain,
    hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oimage(X2,c_Set_Oinsert(X1,X3,X4),X4,X5),X6,X5),X6)),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025]) ).

cnf(i_0_2543,plain,
    ( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
    inference(rename_variables,[],[i_0_1025]) ).

cnf(i_0_2544,plain,
    hBOOL(hAPP(c_lessequals(v_n,tc_nat),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518]) ).

cnf(i_0_2545,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1518]) ).

cnf(i_0_2546,plain,
    hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(v_n)),tc_nat),c_Suc(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524]) ).

cnf(i_0_2547,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_Suc(X2))) ),
    inference(rename_variables,[],[i_0_1524]) ).

cnf(i_0_2548,plain,
    c_Set_Oinsert(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname) = v_U,
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527]) ).

cnf(i_0_2549,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) = X2 ),
    inference(rename_variables,[],[i_0_1527]) ).

cnf(i_0_2550,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),tc_nat),X1)),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2347,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558]) ).

cnf(i_0_2551,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Suc(X1))),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2347]) ).

cnf(i_0_2552,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1558]) ).

cnf(i_0_2553,plain,
    ~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),X5),X4,X4),X4,X6),X6)),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2347,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962]) ).

cnf(i_0_2554,plain,
    ~ hBOOL(c_in(X1,c_Set_Oimage(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4),X3,X3),X3)),
    inference(rename_variables,[],[i_0_2293]) ).

cnf(i_0_2555,plain,
    ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)) ),
    inference(rename_variables,[],[i_0_962]) ).

cnf(i_0_2556,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2347,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301]) ).

cnf(i_0_2557,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))) ),
    inference(rename_variables,[],[i_0_1301]) ).

cnf(i_0_2558,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2033,i_0_2347,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520]) ).

cnf(i_0_2559,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1520]) ).

cnf(i_0_2560,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(c_Suc(c_Suc(X1)))))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521]) ).

cnf(i_0_2561,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(c_Suc(X1))))),
    inference(rename_variables,[],[i_0_2023]) ).

cnf(i_0_2562,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1521]) ).

cnf(i_0_2563,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Suc(X1)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561]) ).

cnf(i_0_2564,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2038]) ).

cnf(i_0_2565,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_2566,plain,
    hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Suc(c_Suc(X1)))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_2027,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569]) ).

cnf(i_0_2567,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1569]) ).

cnf(i_0_2568,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_2027,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353]) ).

cnf(i_0_2569,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1972]) ).

cnf(i_0_2570,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1353]) ).

cnf(i_0_2571,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Orderings_Oord__class_Omax(X2,c_Suc(X1),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509]) ).

cnf(i_0_2572,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Orderings_Oord__class_Omax(X2,X1,tc_nat)))),
    inference(rename_variables,[],[i_0_2113]) ).

cnf(i_0_2573,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1509]) ).

cnf(i_0_2574,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),X1)),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551]) ).

cnf(i_0_2575,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1551]) ).

cnf(i_0_2576,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610]) ).

cnf(i_0_2577,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),c_Suc(X1))) ),
    inference(rename_variables,[],[i_0_1610]) ).

cnf(i_0_2578,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat),v_n)),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475]) ).

cnf(i_0_2579,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1475]) ).

cnf(i_0_2580,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620]) ).

cnf(i_0_2581,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2582,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)),X2) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668]) ).

cnf(i_0_2583,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1668]) ).

cnf(i_0_2584,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585]) ).

cnf(i_0_2585,plain,
    ( hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1585]) ).

cnf(i_0_2586,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X1),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502]) ).

cnf(i_0_2587,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    inference(rename_variables,[],[i_0_1502]) ).

cnf(i_0_2588,plain,
    c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat) = c_Finite__Set_Ocard(v_x,t_a),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790]) ).

cnf(i_0_2589,plain,
    class_HOL_Oord(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1769,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886]) ).

cnf(i_0_2590,plain,
    class_Ring__and__Field_Oordered__semidom(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888]) ).

cnf(i_0_2591,plain,
    class_Lattices_Olattice(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889]) ).

cnf(i_0_2592,plain,
    class_Ring__and__Field_Ono__zero__divisors(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890]) ).

cnf(i_0_2593,plain,
    class_Orderings_Oorder(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894]) ).

cnf(i_0_2594,plain,
    class_OrderedGroup_Oab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1775,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895]) ).

cnf(i_0_2595,plain,
    class_OrderedGroup_Ocomm__monoid__mult(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1770,i_0_1775,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896]) ).

cnf(i_0_2596,plain,
    class_Orderings_Opreorder(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1770,i_0_1775,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899]) ).

cnf(i_0_2597,plain,
    class_HOL_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1759,i_0_1770,i_0_1775,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901]) ).

cnf(i_0_2598,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1759,i_0_1770,i_0_1775,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905]) ).

cnf(i_0_2599,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1759,i_0_1770,i_0_1775,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906]) ).

cnf(i_0_2600,plain,
    class_Ring__and__Field_Osemiring__1(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1757,i_0_1759,i_0_1770,i_0_1775,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907]) ).

cnf(i_0_2601,plain,
    class_Orderings_Obot(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1757,i_0_1759,i_0_1770,i_0_1775,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908]) ).

cnf(i_0_2602,plain,
    class_OrderedGroup_Omonoid__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915]) ).

cnf(i_0_2603,plain,
    class_Nat_Osemiring__char__0(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916]) ).

cnf(i_0_2604,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917]) ).

cnf(i_0_2605,plain,
    class_Ring__and__Field_Ozero__neq__one(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918]) ).

cnf(i_0_2606,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919]) ).

cnf(i_0_2607,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922]) ).

cnf(i_0_2608,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040]) ).

cnf(i_0_2609,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2))),
    inference(rename_variables,[],[i_0_2440]) ).

cnf(i_0_2610,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2611,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1040]) ).

cnf(i_0_2612,plain,
    ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4),tc_bool),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2056,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049]) ).

cnf(i_0_2613,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2614,plain,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(rename_variables,[],[i_0_1049]) ).

cnf(i_0_2615,plain,
    hAPP(c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oinsert(X2,X3,X4),X1,X4,X5),X5,X4),hAPP(c_Hilbert__Choice_Oinv__into(c_Set_Oinsert(X2,X3,X4),X1,X4,X5),hAPP(X1,X2))) = hAPP(X1,X2),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2056,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066]) ).

cnf(i_0_2616,plain,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5)),
    inference(rename_variables,[],[i_0_2142]) ).

cnf(i_0_2617,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    inference(rename_variables,[],[i_0_1066]) ).

cnf(i_0_2618,plain,
    hAPP(c_Fun_Othe__inv__into(c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oinsert(X2,X3,X4),X1,X4,X5),X5,X4),hAPP(c_Hilbert__Choice_Oinv__into(c_Set_Oinsert(X2,X3,X4),X1,X4,X5),hAPP(X1,X2))) = hAPP(X1,X2),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2056,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068]) ).

cnf(i_0_2619,plain,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5)),
    inference(rename_variables,[],[i_0_2142]) ).

cnf(i_0_2620,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hAPP(c_Fun_Othe__inv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    inference(rename_variables,[],[i_0_1068]) ).

cnf(i_0_2621,plain,
    ~ class_Complete__Lattice_Ocomplete__lattice(tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2056,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409]) ).

cnf(i_0_2622,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(X1)),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2033]) ).

cnf(i_0_2623,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(X3,X1)))
    | hBOOL(hAPP(c_lessequals(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,X2)))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(rename_variables,[],[i_0_1409]) ).

cnf(i_0_2624,plain,
    c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,tc_bool),tc_bool) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2056,i_0_2613,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684]) ).

cnf(i_0_2625,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1634]) ).

cnf(i_0_2626,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2627,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1684]) ).

cnf(i_0_2628,plain,
    c_Finite__Set_Ocard(c_Set_Oinsert(c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_x),tc_bool),tc_bool) = c_Suc(c_Finite__Set_Ocard(hAPP(v_P,v_x),tc_bool)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2056,i_0_2613,i_0_2626,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473]) ).

cnf(i_0_2629,plain,
    ~ hBOOL(c_in(c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_x),X1)),
    inference(rename_variables,[],[i_0_1949]) ).

cnf(i_0_2630,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2631,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1473]) ).

cnf(i_0_2632,plain,
    hAPP(c_Hilbert__Choice_Oinv__into(c_Set_Oinsert(X1,X2,X3),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X3,X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X1)) = X1,
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2056,i_0_2613,i_0_2626,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596]) ).

cnf(i_0_2633,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)
    | X3 = X4
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_1596]) ).

cnf(i_0_2634,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549]) ).

cnf(i_0_2635,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2175]) ).

cnf(i_0_2636,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1333]) ).

cnf(i_0_2637,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1549]) ).

cnf(i_0_2638,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500]) ).

cnf(i_0_2639,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1666]) ).

cnf(i_0_2640,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2641,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_2642,plain,
    c_Set_Oimage(X1,X2,X3,tc_bool) = c_Set_Oimage(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X2,c_Set_Oimage(X1,X2,X3,tc_bool),X1,X3,tc_bool),X3,tc_bool),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950]) ).

cnf(i_0_2643,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2644,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2645,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | X1 = c_Set_Oimage(X3,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X4,X1,X3,X5,X2),X5,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_950]) ).

cnf(i_0_2646,plain,
    hBOOL(hAPP(c_lessequals(v_U,tc_fun(tc_Com_Opname,tc_bool)),c_Set_Oinsert(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952]) ).

cnf(i_0_2647,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2648,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3)))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_952]) ).

cnf(i_0_2649,plain,
    c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X3),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954]) ).

cnf(i_0_2650,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2651,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2652,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X4,X1,X3,X5,X2),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_954]) ).

cnf(i_0_2653,plain,
    hBOOL(c_in(hAPP(X1,v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call)),c_Set_Oinsert(X2,c_Set_Oimage(X1,v_U,tc_Com_Opname,X3),X3),X3)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2142,i_0_2616,i_0_2293,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965]) ).

cnf(i_0_2654,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2655,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(c_in(hAPP(X1,X6),X5,X4))
    | ~ hBOOL(c_in(X6,X2,X3)) ),
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_2656,plain,
    c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),X1,X2,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),X3,tc_fun(X2,tc_bool)),X2,X2),X2,X2) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),X3,tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2142,i_0_2616,i_0_2293,i_0_2291,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997]) ).

cnf(i_0_2657,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1178]) ).

cnf(i_0_2658,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X5),c_Set_Oimage(X4,X1,X2,X5),X5,X2) = X1
    | ~ c_Fun_Oinj__on(X4,X3,X2,X5) ),
    inference(rename_variables,[],[i_0_997]) ).

cnf(i_0_2659,plain,
    c_Finite__Set_Ofinite(c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),X2),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2142,i_0_2616,i_0_2293,i_0_2291,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000]) ).

cnf(i_0_2660,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2661,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X4,X5,X2)))
    | ~ c_Finite__Set_Ofinite(X4,X5)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_2662,plain,
    c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(v_U,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X1,v_U,tc_Com_Opname,tc_nat),c_Finite__Set_Osetsum(X1,v_U,tc_Com_Opname,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_2293,i_0_2291,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005]) ).

cnf(i_0_2663,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2664,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X3,X2,tc_nat),c_Finite__Set_Osetsum(X4,X1,X2,tc_nat),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1005]) ).

cnf(i_0_2665,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),X3))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_1983,i_0_2293,i_0_2291,i_0_1972,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107]) ).

cnf(i_0_2666,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3))),
    inference(rename_variables,[],[i_0_2098]) ).

cnf(i_0_2667,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4)),
    inference(rename_variables,[],[i_0_1983]) ).

cnf(i_0_2668,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2)))
    | ~ hBOOL(c_in(X4,X3,X2)) ),
    inference(rename_variables,[],[i_0_1107]) ).

cnf(i_0_2669,plain,
    c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),c_Set_Oimage(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2))),X2,X2),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_1983,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115]) ).

cnf(i_0_2670,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X4)),
    inference(rename_variables,[],[i_0_1975]) ).

cnf(i_0_2671,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Fun_Oinj__on(X4,X3,X2,X5)
    | c_Fun_Oinj__on(X4,X1,X2,X5) ),
    inference(rename_variables,[],[i_0_1115]) ).

cnf(i_0_2672,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_1983,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2018,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127]) ).

cnf(i_0_2673,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_2674,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_lessequals(X1,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1127]) ).

cnf(i_0_2675,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(c_Orderings_Oord__class_Omax(X2,X1,tc_nat)))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_1983,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129]) ).

cnf(i_0_2676,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_2677,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_lessequals(X2,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1129]) ).

cnf(i_0_2678,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat))))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_1983,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130]) ).

cnf(i_0_2679,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(X1)))),
    inference(rename_variables,[],[i_0_2021]) ).

cnf(i_0_2680,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1130]) ).

cnf(i_0_2681,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(c_Orderings_Oord__class_Omax(X2,X1,tc_nat))))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_1983,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131]) ).

cnf(i_0_2682,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(c_Suc(X1)))),
    inference(rename_variables,[],[i_0_2021]) ).

cnf(i_0_2683,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1131]) ).

cnf(i_0_2684,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X2,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151]) ).

cnf(i_0_2685,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat))),
    inference(rename_variables,[],[i_0_2434]) ).

cnf(i_0_2686,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4)),
    inference(rename_variables,[],[i_0_1983]) ).

cnf(i_0_2687,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2)))
    | ~ hBOOL(c_in(X4,X3,X2)) ),
    inference(rename_variables,[],[i_0_1151]) ).

cnf(i_0_2688,plain,
    c_HOL_Ominus__class_Ominus(v_uG,c_HOL_Ominus__class_Ominus(v_uG,v_x,tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool)) = v_x,
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180]) ).

cnf(i_0_2689,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2690,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X1))
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X4 ),
    inference(rename_variables,[],[i_0_1180]) ).

cnf(i_0_2691,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199]) ).

cnf(i_0_2692,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(rename_variables,[],[i_0_1367]) ).

cnf(i_0_2693,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,tc_bool)),X3)) ),
    inference(rename_variables,[],[i_0_1199]) ).

cnf(i_0_2694,plain,
    c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(v_U,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_U,tc_Com_Opname),c_Finite__Set_Ocard(v_U,tc_Com_Opname),tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281]) ).

cnf(i_0_2695,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1593]) ).

cnf(i_0_2696,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(X3,X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1281]) ).

cnf(i_0_2697,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),c_Suc(v_n),tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),c_Suc(v_n),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288]) ).

cnf(i_0_2698,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
    | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X3,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1288]) ).

cnf(i_0_2699,plain,
    hBOOL(hAPP(c_lessequals(hAPP(X1,X2),tc_bool),hAPP(X1,X2))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312]) ).

cnf(i_0_2700,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,X3)),X4))
    | hBOOL(hAPP(c_lessequals(hAPP(X1,X5),X3),hAPP(X4,X5)))
    | ~ class_HOL_Oord(X3) ),
    inference(rename_variables,[],[i_0_1312]) ).

cnf(i_0_2701,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_Set_Ovimage(X1,v_x,tc_bool,t_a),tc_bool),tc_nat),c_Finite__Set_Ocard(c_Set_Ovimage(X1,v_uG,tc_bool,t_a),tc_bool))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323]) ).

cnf(i_0_2702,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,v_x,X2,t_a),tc_fun(X2,tc_bool)),c_Set_Ovimage(X1,v_uG,X2,t_a))),
    inference(rename_variables,[],[i_0_1955]) ).

cnf(i_0_2703,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2704,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1323]) ).

cnf(i_0_2705,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Suc(c_Suc(X1)),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(X1,tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356]) ).

cnf(i_0_2706,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1356]) ).

cnf(i_0_2707,plain,
    hBOOL(hAPP(c_lessequals(c_Suc(v_n),tc_nat),c_Orderings_Oord__class_Omax(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),X1,tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370]) ).

cnf(i_0_2708,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),c_Orderings_Oord__class_Omax(X3,X4,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1370]) ).

cnf(i_0_2709,plain,
    hBOOL(hAPP(c_lessequals(c_Suc(v_n),tc_nat),c_Orderings_Oord__class_Omax(X1,c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372]) ).

cnf(i_0_2710,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),c_Orderings_Oord__class_Omax(X4,X3,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1372]) ).

cnf(i_0_2711,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Orderings_Oord__class_Omax(c_Suc(X1),X3,tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374]) ).

cnf(i_0_2712,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),c_Orderings_Oord__class_Omax(X3,X4,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1374]) ).

cnf(i_0_2713,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Orderings_Oord__class_Omax(X3,c_Suc(X1),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376]) ).

cnf(i_0_2714,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),c_Orderings_Oord__class_Omax(X4,X3,X2)))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1376]) ).

cnf(i_0_2715,plain,
    hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Suc(v_n),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407]) ).

cnf(i_0_2716,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1407]) ).

cnf(i_0_2717,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408]) ).

cnf(i_0_2718,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1408]) ).

cnf(i_0_2719,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424]) ).

cnf(i_0_2720,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1424]) ).

cnf(i_0_2721,plain,
    c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,tc_bool),tc_bool),tc_bool) = c_Finite__Set_Ocard(c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,tc_bool),tc_bool),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431]) ).

cnf(i_0_2722,plain,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5)),
    inference(rename_variables,[],[i_0_2142]) ).

cnf(i_0_2723,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2724,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1431]) ).

cnf(i_0_2725,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))),tc_nat),v_n)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456]) ).

cnf(i_0_2726,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Suc(X1))),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2347]) ).

cnf(i_0_2727,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
    inference(rename_variables,[],[i_0_1456]) ).

cnf(i_0_2728,plain,
    c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Com_Opname,tc_bool)),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Com_Opname,tc_bool)),v_U),X2)),tc_Com_Opname),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461]) ).

cnf(i_0_2729,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1972]) ).

cnf(i_0_2730,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1461]) ).

cnf(i_0_2731,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463]) ).

cnf(i_0_2732,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_1463]) ).

cnf(i_0_2733,plain,
    hBOOL(c_in(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_SetInterval_Oord__class_OlessThan(c_Suc(X1),tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467]) ).

cnf(i_0_2734,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X3,X2),X2))
    | ~ class_HOL_Oord(X2) ),
    inference(rename_variables,[],[i_0_1467]) ).

cnf(i_0_2735,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491]) ).

cnf(i_0_2736,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1491]) ).

cnf(i_0_2737,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512]) ).

cnf(i_0_2738,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X2)),
    inference(rename_variables,[],[i_0_2164]) ).

cnf(i_0_2739,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_2740,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1512]) ).

cnf(i_0_2741,plain,
    c_Orderings_Oord__class_Omax(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),c_Suc(v_n),tc_nat) = c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572]) ).

cnf(i_0_2742,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | c_Orderings_Oord__class_Omax(X3,X1,X2) = X3
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_2743,plain,
    c_Orderings_Oord__class_Omax(c_Suc(v_n),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat) = c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573]) ).

cnf(i_0_2744,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | c_Orderings_Oord__class_Omax(X1,X3,X2) = X3
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1573]) ).

cnf(i_0_2745,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Suc(v_n)),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))) = c_Suc(v_n),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575]) ).

cnf(i_0_2746,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1575]) ).

cnf(i_0_2747,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))),c_Suc(v_n)) = c_Suc(v_n),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576]) ).

cnf(i_0_2748,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X1) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2749,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Suc(v_n)),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))) = c_Suc(v_n),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577]) ).

cnf(i_0_2750,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2751,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)))),c_Suc(v_n)) = c_Suc(v_n),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578]) ).

cnf(i_0_2752,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1578]) ).

cnf(i_0_2753,plain,
    c_Orderings_Oord__class_Omax(c_Suc(c_Suc(X1)),X1,tc_nat) != X1,
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584]) ).

cnf(i_0_2754,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | c_Orderings_Oord__class_Omax(X1,X3,X2) != X3
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1584]) ).

cnf(i_0_2755,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Suc(c_Suc(X1))),X1) != c_Suc(c_Suc(X1)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597]) ).

cnf(i_0_2756,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X1),X3) != X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1597]) ).

cnf(i_0_2757,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_Suc(c_Suc(X1))),X1) != c_Suc(c_Suc(X1)),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598]) ).

cnf(i_0_2758,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) != X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1598]) ).

cnf(i_0_2759,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619]) ).

cnf(i_0_2760,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_2761,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2762,plain,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(v_P,v_x)),X3)),c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411]) ).

cnf(i_0_2763,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1972]) ).

cnf(i_0_2764,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X3,X4)) ),
    inference(rename_variables,[],[i_0_1411]) ).

cnf(i_0_2765,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2506,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252]) ).

cnf(i_0_2766,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2767,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_1252]) ).

cnf(i_0_2768,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2)),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255]) ).

cnf(i_0_2769,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2770,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(rename_variables,[],[i_0_1255]) ).

cnf(i_0_2771,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X2),X1)),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_1975,i_0_1966,i_0_2440,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256]) ).

cnf(i_0_2772,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2773,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(rename_variables,[],[i_0_1256]) ).

cnf(i_0_2774,plain,
    hBOOL(c_in(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Suc(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call))),v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call)),c_Set_Oimage(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Suc(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call))),v_U,tc_Com_Opname,X1),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_1975,i_0_1966,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260]) ).

cnf(i_0_2775,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_Suc(X1)),X1) != c_Suc(X1),
    inference(rename_variables,[],[i_0_2263]) ).

cnf(i_0_2776,plain,
    ( ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | hBOOL(c_in(X1,X3,X4))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1260]) ).

cnf(i_0_2777,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297]) ).

cnf(i_0_2778,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1972]) ).

cnf(i_0_2779,plain,
    hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1403]) ).

cnf(i_0_2780,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,tc_fun(X2,tc_bool)),X1))
    | X3 = X1 ),
    inference(rename_variables,[],[i_0_1297]) ).

cnf(i_0_2781,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2)),X3),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303]) ).

cnf(i_0_2782,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2783,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1303]) ).

cnf(i_0_2784,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2)),X3),tc_nat),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305]) ).

cnf(i_0_2785,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2786,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(rename_variables,[],[i_0_1305]) ).

cnf(i_0_2787,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307]) ).

cnf(i_0_2788,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2789,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1307]) ).

cnf(i_0_2790,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),tc_nat),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309]) ).

cnf(i_0_2791,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2792,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4)))
    | hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1309]) ).

cnf(i_0_2793,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_HOL_Oord__class_Oless(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,X3),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X4,X5,tc_nat),c_Suc(X4),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320]) ).

cnf(i_0_2794,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_HOL_Oord__class_Oless(hAPP(X1,X2),tc_nat),X3,X4),X2)),
    inference(rename_variables,[],[i_0_1966]) ).

cnf(i_0_2795,plain,
    ( hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
    | ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))) ),
    inference(rename_variables,[],[i_0_1320]) ).

cnf(i_0_2796,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349]) ).

cnf(i_0_2797,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,X3)),X4))
    | hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,X3)),X4))
    | ~ class_HOL_Oord(X3) ),
    inference(rename_variables,[],[i_0_1349]) ).

cnf(i_0_2798,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357]) ).

cnf(i_0_2799,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3)))
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_1357]) ).

cnf(i_0_2800,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423]) ).

cnf(i_0_2801,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_1423]) ).

cnf(i_0_2802,plain,
    c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528]) ).

cnf(i_0_2803,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(rename_variables,[],[i_0_2202]) ).

cnf(i_0_2804,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1333]) ).

cnf(i_0_2805,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | c_Suc(X1) = X2 ),
    inference(rename_variables,[],[i_0_1528]) ).

cnf(i_0_2806,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat),tc_nat),tc_nat),c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189]) ).

cnf(i_0_2807,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
    inference(rename_variables,[],[i_0_1189]) ).

cnf(i_0_2808,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1)),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254]) ).

cnf(i_0_2809,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2810,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    inference(rename_variables,[],[i_0_1254]) ).

cnf(i_0_2811,plain,
    ~ hBOOL(c_in(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),c_HOL_Ominus__class_Ominus(X1,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264]) ).

cnf(i_0_2812,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_1443]) ).

cnf(i_0_2813,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ hBOOL(c_in(X4,X3,X1))
    | ~ hBOOL(c_in(X4,X2,X1)) ),
    inference(rename_variables,[],[i_0_1264]) ).

cnf(i_0_2814,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat),tc_nat),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X2))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275]) ).

cnf(i_0_2815,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,X3)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,X3)),X1))
    | ~ class_HOL_Oord(X3) ),
    inference(rename_variables,[],[i_0_1275]) ).

cnf(i_0_2816,plain,
    ~ hBOOL(c_in(c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(v_P,v_x)),X3)),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285]) ).

cnf(i_0_2817,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1972]) ).

cnf(i_0_2818,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(c_in(X4,X3,X2))
    | ~ hBOOL(c_in(X4,X1,X2)) ),
    inference(rename_variables,[],[i_0_1285]) ).

cnf(i_0_2819,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493]) ).

cnf(i_0_2820,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1493]) ).

cnf(i_0_2821,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(c_Suc(X1),X2,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497]) ).

cnf(i_0_2822,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1497]) ).

cnf(i_0_2823,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548]) ).

cnf(i_0_2824,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1666]) ).

cnf(i_0_2825,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1548]) ).

cnf(i_0_2826,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_1955,i_0_2175,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599]) ).

cnf(i_0_2827,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1599]) ).

cnf(i_0_2828,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_1955,i_0_2175,i_0_2635,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566]) ).

cnf(i_0_2829,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2830,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2175]) ).

cnf(i_0_2831,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1566]) ).

cnf(i_0_2832,plain,
    hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_1955,i_0_2175,i_0_2635,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603]) ).

cnf(i_0_2833,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1603]) ).

cnf(i_0_2834,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),tc_nat),X2)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2175,i_0_2635,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494]) ).

cnf(i_0_2835,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2836,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Orderings_Oord__class_Omax(c_Suc(X1),X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545]) ).

cnf(i_0_2837,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1545]) ).

cnf(i_0_2838,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_Suc(c_Finite__Set_Ocard(v_uG,t_a)),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(v_uG,t_a),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498]) ).

cnf(i_0_2839,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1498]) ).

cnf(i_0_2840,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546]) ).

cnf(i_0_2841,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1546]) ).

cnf(i_0_2842,plain,
    hAPP(c_lessequals(v_x,tc_fun(t_a,tc_bool)),v_uG) != hAPP(hAPP(v_P,v_x),c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904]) ).

cnf(i_0_2843,plain,
    c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat)),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(v_uG,t_a),v_n,tc_nat),tc_nat) != c_Finite__Set_Ocard(v_x,t_a),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791]) ).

cnf(i_0_2844,plain,
    c_Orderings_Oord__class_Omax(c_Suc(X1),X1,tc_nat) != X1,
    inference(rename_variables,[],[i_0_2259]) ).

cnf(i_0_2845,plain,
    class_Lattices_Olower__semilattice(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866]) ).

cnf(i_0_2846,plain,
    class_Orderings_Olinorder(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868]) ).

cnf(i_0_2847,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874]) ).

cnf(i_0_2848,plain,
    class_OrderedGroup_Opordered__comm__monoid__add(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884]) ).

cnf(i_0_2849,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_HOL_Ominus__class_Ominus(c_Suc(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885]) ).

cnf(i_0_2850,plain,
    ~ c_Finite__Set_Ofinite(hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))),c_Fun_Ofun__upd(tc_nat,X4,hAPP(tc_nat,X4),X5,X6)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920]) ).

cnf(i_0_2851,plain,
    hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X4)) = X4,
    inference(rename_variables,[],[i_0_2261]) ).

cnf(i_0_2852,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(c_Fun_Ofun__upd(tc_nat,X1,X2,X3,X4),X1,hAPP(tc_nat,X1),X3,X4)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921]) ).

cnf(i_0_2853,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
    inference(rename_variables,[],[i_0_2429]) ).

cnf(i_0_2854,plain,
    c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
    inference(rename_variables,[],[i_0_943]) ).

cnf(i_0_2855,plain,
    ~ c_fequal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1,X2,X3,X4),X1,hAPP(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X3,X4),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),X5),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911]) ).

cnf(i_0_2856,plain,
    ~ c_fequal(c_Fun_Ofun__upd(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1,hAPP(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X2,X3),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),X4),
    inference(rename_variables,[],[i_0_2071]) ).

cnf(i_0_2857,plain,
    c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
    inference(rename_variables,[],[i_0_943]) ).

cnf(i_0_2858,plain,
    ~ c_fequal(c_Fun_Ofun__upd(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1,hAPP(c_Suc(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),X1),X2,X3),v_uG,X4),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912]) ).

cnf(i_0_2859,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X3,c_Fun_Ofun__upd(c_Fun_Ofun__upd(tc_nat,X4,X5,X6,X7),X4,hAPP(tc_nat,X4),X6,X7),X8),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879]) ).

cnf(i_0_2860,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X3,c_Fun_Ofun__upd(tc_nat,X4,hAPP(tc_nat,X4),X5,X6),X7),
    inference(rename_variables,[],[i_0_2425]) ).

cnf(i_0_2861,plain,
    c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
    inference(rename_variables,[],[i_0_943]) ).

cnf(i_0_2862,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X3,X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))),X6,c_Fun_Ofun__upd(tc_nat,X7,hAPP(tc_nat,X7),X8,X9),X10),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877]) ).

cnf(i_0_2863,plain,
    hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X4)) = X4,
    inference(rename_variables,[],[i_0_2261]) ).

cnf(i_0_2864,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_2152,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081]) ).

cnf(i_0_2865,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat))),
    inference(rename_variables,[],[i_0_2442]) ).

cnf(i_0_2866,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),X1),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat))),
    inference(rename_variables,[],[i_0_2306]) ).

cnf(i_0_2867,plain,
    ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2)),
    inference(rename_variables,[],[i_0_2152]) ).

cnf(i_0_2868,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2)))
    | hBOOL(c_in(X4,X1,X2)) ),
    inference(rename_variables,[],[i_0_1081]) ).

cnf(i_0_2869,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_2152,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1400,i_0_2654,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217]) ).

cnf(i_0_2870,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2871,plain,
    ( hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,X3)),X4))
    | ~ hBOOL(hAPP(c_lessequals(X4,tc_fun(X2,X3)),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_fun(X2,X3)),X1))
    | ~ class_HOL_Oord(X3) ),
    inference(rename_variables,[],[i_0_1217]) ).

cnf(i_0_2872,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)),tc_bool),tc_bool),tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)),tc_bool))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_2152,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224]) ).

cnf(i_0_2873,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2874,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2875,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    inference(rename_variables,[],[i_0_1633]) ).

cnf(i_0_2876,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X3,X2),tc_nat),c_Finite__Set_Ocard(X1,X2)))
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_1224]) ).

cnf(i_0_2877,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),c_Suc(X2),tc_nat),c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),c_Suc(X2),tc_nat),tc_nat),tc_nat),c_Suc(X2))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2293,i_0_2291,i_0_2152,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241]) ).

cnf(i_0_2878,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2175]) ).

cnf(i_0_2879,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),c_Orderings_Oord__class_Omax(X3,X4,X2)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(rename_variables,[],[i_0_1241]) ).

cnf(i_0_2880,plain,
    c_Finite__Set_Osetsum(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_Set_Oinsert(X1,c_Set_Oinsert(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X2,tc_bool),tc_bool),tc_bool,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268]) ).

cnf(i_0_2881,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4)),
    inference(rename_variables,[],[i_0_1983]) ).

cnf(i_0_2882,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2883,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Osetsum(X4,X2,X3,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
    | hAPP(X4,X1) = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1268]) ).

cnf(i_0_2884,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104]) ).

cnf(i_0_2885,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2412]) ).

cnf(i_0_2886,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_2887,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_lessequals(X3,X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_1104]) ).

cnf(i_0_2888,plain,
    ~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(tc_nat,tc_bool)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397]) ).

cnf(i_0_2889,plain,
    hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1403]) ).

cnf(i_0_2890,plain,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_1630]) ).

cnf(i_0_2891,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X4,X2),X5))
    | c_HOL_Ominus__class_Ominus(X3,X1,X2) != c_HOL_Ominus__class_Ominus(X5,X4,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_1397]) ).

cnf(i_0_2892,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2,X2),X2,X2),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930]) ).

cnf(i_0_2893,plain,
    ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2)),
    inference(rename_variables,[],[i_0_2152]) ).

cnf(i_0_2894,plain,
    c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2,X4),
    inference(rename_variables,[],[i_0_2101]) ).

cnf(i_0_2895,plain,
    c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2,X4),
    inference(rename_variables,[],[i_0_2101]) ).

cnf(i_0_2896,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
    inference(rename_variables,[],[i_0_930]) ).

cnf(i_0_2897,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)),tc_bool,tc_bool),tc_bool,tc_bool),tc_bool),tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959]) ).

cnf(i_0_2898,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
    inference(rename_variables,[],[i_0_1477]) ).

cnf(i_0_2899,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2900,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),X2,X2),
    inference(rename_variables,[],[i_0_2291]) ).

cnf(i_0_2901,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),X5))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Ocard(X2,X3),tc_nat),c_Finite__Set_Ocard(X5,X4)))
    | ~ c_Finite__Set_Ofinite(X5,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(rename_variables,[],[i_0_959]) ).

cnf(i_0_2902,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(v_U,tc_fun(tc_Com_Opname,tc_bool)),c_Set_Oinsert(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_sko__local__Xassms__3__1(v_x,v_P,v_U,v_mgt__call),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969]) ).

cnf(i_0_2903,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X1)),
    inference(rename_variables,[],[i_0_1484]) ).

cnf(i_0_2904,plain,
    ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)),X4)),
    inference(rename_variables,[],[i_0_2145]) ).

cnf(i_0_2905,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X3,tc_bool)),c_Set_Oinsert(X2,X4,X3)))
    | hBOOL(c_in(X2,X4,X3))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(rename_variables,[],[i_0_969]) ).

cnf(i_0_2906,plain,
    c_Finite__Set_Osetsum(X1,c_Set_Oinsert(c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_x),tc_bool),tc_bool,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(X1,c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),c_Finite__Set_Osetsum(X1,hAPP(v_P,v_x),tc_bool,tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070]) ).

cnf(i_0_2907,plain,
    ~ hBOOL(c_in(c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_x),X1)),
    inference(rename_variables,[],[i_0_1949]) ).

cnf(i_0_2908,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2909,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Osetsum(X4,c_Set_Oinsert(X1,X2,X3),X3,X5) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(X4,X1)),c_Finite__Set_Osetsum(X4,X2,X3,X5))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X5)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1070]) ).

cnf(i_0_2910,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),c_Suc(X2),tc_nat)),X3),tc_nat),X3)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106]) ).

cnf(i_0_2911,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2383]) ).

cnf(i_0_2912,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2193]) ).

cnf(i_0_2913,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X4))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_1106]) ).

cnf(i_0_2914,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(v_P,v_x)),X2)),tc_fun(X1,tc_bool)),c_Set_Oinsert(c_Set_Oinsert(v_mgt(v_xa),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_x),X1))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132]) ).

cnf(i_0_2915,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),tc_fun(X1,tc_bool)),X3)),
    inference(rename_variables,[],[i_0_1972]) ).

cnf(i_0_2916,plain,
    ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2)),
    inference(rename_variables,[],[i_0_2152]) ).

cnf(i_0_2917,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,X3,X2)))
    | hBOOL(c_in(X4,X1,X2))
    | hBOOL(c_in(X4,X3,X2)) ),
    inference(rename_variables,[],[i_0_1132]) ).

cnf(i_0_2918,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat) != c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392]) ).

cnf(i_0_2919,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2920,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_2921,plain,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1749]) ).

cnf(i_0_2922,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
    | c_HOL_Ominus__class_Ominus(X3,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_1392]) ).

cnf(i_0_2923,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(v_uG,t_a),tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),v_n),X1))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416]) ).

cnf(i_0_2924,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2925,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1416]) ).

cnf(i_0_2926,plain,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(X1)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425]) ).

cnf(i_0_2927,plain,
    ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(X1)),X2),tc_nat),X2)),
    inference(rename_variables,[],[i_0_2380]) ).

cnf(i_0_2928,plain,
    hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
    inference(rename_variables,[],[i_0_1022]) ).

cnf(i_0_2929,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),c_Finite__Set_Olinorder__class_OMax(X3,X2)))
    | ~ hBOOL(c_in(X1,X3,X2))
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1425]) ).

cnf(i_0_2930,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(X1)))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466]) ).

cnf(i_0_2931,plain,
    ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2447]) ).

cnf(i_0_2932,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_2933,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1466]) ).

cnf(i_0_2934,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2,X2),X2,X2),X2,X2),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931]) ).

cnf(i_0_2935,plain,
    ~ hBOOL(c_in(X1,c_Set_Oimage(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4),X3,X3),X3)),
    inference(rename_variables,[],[i_0_2293]) ).

cnf(i_0_2936,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
    inference(rename_variables,[],[i_0_931]) ).

cnf(i_0_2937,plain,
    ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Orderings_Oord__class_Omax(X2,c_Suc(X3),tc_nat)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105]) ).

cnf(i_0_2938,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2412]) ).

cnf(i_0_2939,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X5))
    | ~ hBOOL(hAPP(c_lessequals(X2,X1),X4))
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1) ),
    inference(rename_variables,[],[i_0_1105]) ).

cnf(i_0_2940,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,tc_bool),tc_bool),tc_nat),c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,tc_bool),tc_bool),tc_bool))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153]) ).

cnf(i_0_2941,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3))),
    inference(rename_variables,[],[i_0_2098]) ).

cnf(i_0_2942,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,X1,X2))),
    inference(rename_variables,[],[i_0_1400]) ).

cnf(i_0_2943,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2944,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),tc_nat),c_Finite__Set_Ocard(X3,X2)))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1153]) ).

cnf(i_0_2945,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2738,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165]) ).

cnf(i_0_2946,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X2)),
    inference(rename_variables,[],[i_0_2164]) ).

cnf(i_0_2947,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),c_HOL_Ozero__class_Ozero(X2)))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),c_HOL_Ozero__class_Ozero(X2)))
    | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2),c_HOL_Ozero__class_Ozero(X2)))
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1165]) ).

cnf(i_0_2948,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),c_Orderings_Oord__class_Omax(c_Suc(X1),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2738,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184]) ).

cnf(i_0_2949,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
    inference(rename_variables,[],[i_0_1639]) ).

cnf(i_0_2950,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Orderings_Oord__class_Omax(c_Suc(X1),X2,tc_nat))),
    inference(rename_variables,[],[i_0_2191]) ).

cnf(i_0_2951,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X3),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X3),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X3),X4))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(rename_variables,[],[i_0_1184]) ).

cnf(i_0_2952,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)),X2),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2738,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591]) ).

cnf(i_0_2953,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2954,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2175]) ).

cnf(i_0_2955,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X1))
    | ~ class_Orderings_Olinorder(X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_1591]) ).

cnf(i_0_2956,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))),tc_nat),c_HOL_Ominus__class_Ominus(v_n,X1,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2164,i_0_2738,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413]) ).

cnf(i_0_2957,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))),
    inference(rename_variables,[],[i_0_2226]) ).

cnf(i_0_2958,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1413]) ).

cnf(i_0_2959,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)),X2),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535]) ).

cnf(i_0_2960,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2161]) ).

cnf(i_0_2961,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2175]) ).

cnf(i_0_2962,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | X3 = X1
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1535]) ).

cnf(i_0_2963,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat)) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539]) ).

cnf(i_0_2964,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),X2)),
    inference(rename_variables,[],[i_0_2164]) ).

cnf(i_0_2965,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2175]) ).

cnf(i_0_2966,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | X1 = X3
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1539]) ).

cnf(i_0_2967,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat)),X3)),tc_nat),X3)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276]) ).

cnf(i_0_2968,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2038]) ).

cnf(i_0_2969,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_1276]) ).

cnf(i_0_2970,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415]) ).

cnf(i_0_2971,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2972,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1415]) ).

cnf(i_0_2973,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490]) ).

cnf(i_0_2974,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(rename_variables,[],[i_0_2414]) ).

cnf(i_0_2975,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X3,X2),X1))
    | X1 = X3
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1490]) ).

cnf(i_0_2976,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))))),tc_nat),c_Suc(v_n))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414]) ).

cnf(i_0_2977,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(X1)),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2033]) ).

cnf(i_0_2978,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_lessequals(X4,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1414]) ).

cnf(i_0_2979,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Finite__Set_Ocard(v_uG,t_a))))),tc_nat),c_Suc(v_n))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2224,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418]) ).

cnf(i_0_2980,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X1))),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2224]) ).

cnf(i_0_2981,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1418]) ).

cnf(i_0_2982,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(c_Suc(X1))),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419]) ).

cnf(i_0_2983,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1333]) ).

cnf(i_0_2984,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1419]) ).

cnf(i_0_2985,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417]) ).

cnf(i_0_2986,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2))),
    inference(rename_variables,[],[i_0_2130]) ).

cnf(i_0_2987,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X2),X4))
    | ~ class_Orderings_Opreorder(X2) ),
    inference(rename_variables,[],[i_0_1417]) ).

cnf(i_0_2988,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541]) ).

cnf(i_0_2989,plain,
    hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2167]) ).

cnf(i_0_2990,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X2),tc_nat))),
    inference(rename_variables,[],[i_0_2175]) ).

cnf(i_0_2991,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | ~ class_Orderings_Olinorder(X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_1541]) ).

cnf(i_0_2992,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X1))),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420]) ).

cnf(i_0_2993,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_1333]) ).

cnf(i_0_2994,plain,
    ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X3))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X2),X1))
    | ~ class_Orderings_Oorder(X2) ),
    inference(rename_variables,[],[i_0_1420]) ).

cnf(i_0_2995,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))))),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271]) ).

cnf(i_0_2996,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(c_Suc(X1)),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2033]) ).

cnf(i_0_2997,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_2998,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X4))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X3))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1271]) ).

cnf(i_0_2999,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272]) ).

cnf(i_0_3000,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_3001,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_3002,plain,
    ( hBOOL(hAPP(c_lessequals(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1272]) ).

cnf(i_0_3003,plain,
    c_Finite__Set_Osetprod(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),v_U,tc_Com_Opname,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350]) ).

cnf(i_0_3004,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_2240]) ).

cnf(i_0_3005,plain,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Finite__Set_Osetprod(X4,X2,X3,X5) = c_HOL_Ozero__class_Ozero(X5)
    | hAPP(X4,X1) != c_HOL_Ozero__class_Ozero(X5)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_3006,plain,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_3001,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_2921,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350,i_0_1362]) ).

cnf(i_0_3007,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_3008,plain,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1749]) ).

cnf(i_0_3009,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) != c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_1362]) ).

cnf(i_0_3010,plain,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),c_Orderings_Oord__class_Omax(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_3001,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2844,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2107,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_2921,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350,i_0_1362,i_0_1363]) ).

cnf(i_0_3011,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Orderings_Oord__class_Omax(X2,X1,tc_nat))),
    inference(rename_variables,[],[i_0_2107]) ).

cnf(i_0_3012,plain,
    c_Orderings_Oord__class_Omax(c_Suc(X1),X1,tc_nat) != X1,
    inference(rename_variables,[],[i_0_2259]) ).

cnf(i_0_3013,plain,
    ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) != c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_1363]) ).

cnf(i_0_3014,plain,
    ~ hBOOL(hAPP(c_lessequals(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Orderings_Oord__class_Omax(X1,c_Suc(X2),tc_nat)),X3)),tc_nat),X3)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_3001,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2968,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2844,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2107,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_2921,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350,i_0_1362,i_0_1363,i_0_1273]) ).

cnf(i_0_3015,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2038]) ).

cnf(i_0_3016,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_lessequals(X1,X2),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1273]) ).

cnf(i_0_3017,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1)),tc_nat),X1)),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_3001,i_0_3007,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2968,i_0_3015,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2844,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2414,i_0_2357,i_0_2107,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_2921,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350,i_0_1362,i_0_1363,i_0_1273,i_0_1274]) ).

cnf(i_0_3018,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X1),tc_nat),X1)),
    inference(rename_variables,[],[i_0_2038]) ).

cnf(i_0_3019,plain,
    hBOOL(hAPP(c_lessequals(X1,tc_nat),c_Suc(X1))),
    inference(rename_variables,[],[i_0_2018]) ).

cnf(i_0_3020,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4)))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X3))
    | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X4))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_1274]) ).

cnf(i_0_3021,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X1,c_Set_Ovimage(X2,v_x,tc_bool,t_a),tc_bool,tc_nat),tc_nat),c_Finite__Set_Osetsum(X1,c_Set_Ovimage(X2,v_uG,tc_bool,t_a),tc_bool,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_3001,i_0_3007,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2968,i_0_3015,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2844,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2702,i_0_2414,i_0_2357,i_0_2107,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_2943,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_2921,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_2932,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350,i_0_1362,i_0_1363,i_0_1273,i_0_1274,i_0_898]) ).

cnf(i_0_3022,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Ovimage(X1,v_x,X2,t_a),tc_fun(X2,tc_bool)),c_Set_Ovimage(X1,v_uG,X2,t_a))),
    inference(rename_variables,[],[i_0_1955]) ).

cnf(i_0_3023,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_3024,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_3025,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X4),X4),hAPP(X5,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1(X1,X3,X5,X2,X4))))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X5,X1,X2,X4),X4),c_Finite__Set_Osetsum(X5,X3,X2,X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_898]) ).

cnf(i_0_3026,plain,
    hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X1,c_Set_Oimage(X2,v_x,t_a,tc_bool),tc_bool,tc_nat),tc_nat),c_Finite__Set_Osetsum(X1,c_Set_Oimage(X2,v_uG,t_a,tc_bool),tc_bool,tc_nat))),
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_3001,i_0_3007,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2968,i_0_3015,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2844,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2702,i_0_1957,i_0_2414,i_0_2357,i_0_2107,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_2943,i_0_3024,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_2921,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_2932,i_0_3023,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350,i_0_1362,i_0_1363,i_0_1273,i_0_1274,i_0_898,i_0_899]) ).

cnf(i_0_3027,plain,
    hBOOL(hAPP(c_lessequals(c_Set_Oimage(X1,v_x,t_a,X2),tc_fun(X2,tc_bool)),c_Set_Oimage(X1,v_uG,t_a,X2))),
    inference(rename_variables,[],[i_0_1957]) ).

cnf(i_0_3028,plain,
    hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)),
    inference(rename_variables,[],[i_0_1672]) ).

cnf(i_0_3029,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_3030,plain,
    ( ~ hBOOL(hAPP(c_lessequals(X1,tc_fun(X2,tc_bool)),X3))
    | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X4),X4),hAPP(X5,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1(X1,X3,X5,X2,X4))))
    | hBOOL(hAPP(c_lessequals(c_Finite__Set_Osetsum(X5,X1,X2,X4),X4),c_Finite__Set_Osetsum(X5,X3,X2,X4)))
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_3031,plain,
    $false,
    inference(scs_inference,[],[i_0_1193,i_0_2060,i_0_1677,i_0_1513,i_0_1745,i_0_1621,i_0_1653,i_0_2425,i_0_2860,i_0_2429,i_0_2061,i_0_1949,i_0_2629,i_0_2907,i_0_2071,i_0_2856,i_0_2063,i_0_1333,i_0_2636,i_0_2804,i_0_2983,i_0_1298,i_0_943,i_0_2854,i_0_2857,i_0_1634,i_0_1593,i_0_2472,i_0_2483,i_0_2495,i_0_2610,i_0_2643,i_0_2647,i_0_2650,i_0_2660,i_0_2663,i_0_2689,i_0_2695,i_0_2142,i_0_2616,i_0_2619,i_0_1983,i_0_2667,i_0_2686,i_0_2293,i_0_2554,i_0_2291,i_0_2152,i_0_2867,i_0_2893,i_0_2101,i_0_1972,i_0_2569,i_0_2729,i_0_2763,i_0_2778,i_0_2817,i_0_1975,i_0_2261,i_0_2851,i_0_2145,i_0_1966,i_0_2486,i_0_2440,i_0_2609,i_0_2263,i_0_2265,i_0_2098,i_0_2666,i_0_2199,i_0_2350,i_0_2416,i_0_2193,i_0_2912,i_0_2191,i_0_1995,i_0_2434,i_0_2685,i_0_2442,i_0_2306,i_0_2018,i_0_2673,i_0_2676,i_0_2886,i_0_2920,i_0_2997,i_0_3001,i_0_3007,i_0_2224,i_0_2980,i_0_2016,i_0_2021,i_0_2679,i_0_2038,i_0_2564,i_0_2968,i_0_3015,i_0_2023,i_0_2033,i_0_2622,i_0_2977,i_0_2347,i_0_2551,i_0_2383,i_0_2376,i_0_2447,i_0_2161,i_0_2640,i_0_2782,i_0_2785,i_0_2788,i_0_2791,i_0_2829,i_0_2919,i_0_2164,i_0_2738,i_0_2946,i_0_2167,i_0_2380,i_0_2130,i_0_2506,i_0_2766,i_0_2769,i_0_2772,i_0_2809,i_0_2924,i_0_2953,i_0_2971,i_0_2412,i_0_2885,i_0_2119,i_0_2027,i_0_2259,i_0_2844,i_0_2110,i_0_2113,i_0_2572,i_0_1955,i_0_2702,i_0_1957,i_0_2414,i_0_2357,i_0_2107,i_0_2226,i_0_2410,i_0_2175,i_0_2635,i_0_2830,i_0_2878,i_0_2954,i_0_2961,i_0_2965,i_0_2202,i_0_2045,i_0_2390,i_0_2314,i_0_2240,i_0_2056,i_0_2613,i_0_2626,i_0_2630,i_0_2644,i_0_2651,i_0_2703,i_0_2723,i_0_2874,i_0_2882,i_0_2899,i_0_2908,i_0_2943,i_0_3024,i_0_3029,i_0_1754,i_0_1755,i_0_1757,i_0_1759,i_0_1766,i_0_1770,i_0_1775,i_0_1777,i_0_1778,i_0_1782,i_0_1785,i_0_1630,i_0_1178,i_0_2489,i_0_2492,i_0_1477,i_0_1749,i_0_2921,i_0_1762,i_0_1769,i_0_1781,i_0_1633,i_0_1400,i_0_2654,i_0_2870,i_0_2873,i_0_1639,i_0_1632,i_0_1403,i_0_2779,i_0_1484,i_0_1367,i_0_1672,i_0_2739,i_0_2932,i_0_3023,i_0_1614,i_0_1022,i_0_1779,i_0_1443,i_0_1765,i_0_1768,i_0_1780,i_0_1783,i_0_1767,i_0_1787,i_0_1772,i_0_1776,i_0_1774,i_0_1666,i_0_2639,i_0_1788,i_0_1709,i_0_1433,i_0_1562,i_0_966,i_0_968,i_0_975,i_0_982,i_0_1006,i_0_1026,i_0_1027,i_0_1057,i_0_1061,i_0_1072,i_0_1100,i_0_1225,i_0_1266,i_0_1361,i_0_1388,i_0_1389,i_0_1391,i_0_1472,i_0_1476,i_0_1486,i_0_1506,i_0_1507,i_0_1526,i_0_1560,i_0_1586,i_0_1611,i_0_1613,i_0_1671,i_0_1744,i_0_979,i_0_1025,i_0_1518,i_0_1524,i_0_1527,i_0_1558,i_0_962,i_0_1301,i_0_1520,i_0_1521,i_0_1561,i_0_1569,i_0_1353,i_0_1509,i_0_1551,i_0_1610,i_0_1475,i_0_1620,i_0_1668,i_0_1585,i_0_1502,i_0_1790,i_0_1886,i_0_1888,i_0_1889,i_0_1890,i_0_1894,i_0_1895,i_0_1896,i_0_1899,i_0_1901,i_0_1905,i_0_1906,i_0_1907,i_0_1908,i_0_1915,i_0_1916,i_0_1917,i_0_1918,i_0_1919,i_0_1922,i_0_1040,i_0_1049,i_0_1066,i_0_1068,i_0_1409,i_0_1684,i_0_1473,i_0_1596,i_0_1549,i_0_1500,i_0_950,i_0_952,i_0_954,i_0_965,i_0_997,i_0_1000,i_0_1005,i_0_1107,i_0_1115,i_0_1127,i_0_1129,i_0_1130,i_0_1131,i_0_1151,i_0_1180,i_0_1199,i_0_1281,i_0_1288,i_0_1312,i_0_1323,i_0_1356,i_0_1370,i_0_1372,i_0_1374,i_0_1376,i_0_1407,i_0_1408,i_0_1424,i_0_1431,i_0_1456,i_0_1461,i_0_1463,i_0_1467,i_0_1491,i_0_1512,i_0_1572,i_0_1573,i_0_1575,i_0_1576,i_0_1577,i_0_1578,i_0_1584,i_0_1597,i_0_1598,i_0_1619,i_0_1411,i_0_1252,i_0_1255,i_0_1256,i_0_1260,i_0_1297,i_0_1303,i_0_1305,i_0_1307,i_0_1309,i_0_1320,i_0_1349,i_0_1357,i_0_1423,i_0_1528,i_0_1189,i_0_1254,i_0_1264,i_0_1275,i_0_1285,i_0_1493,i_0_1497,i_0_1548,i_0_1599,i_0_1566,i_0_1603,i_0_1494,i_0_1545,i_0_1498,i_0_1546,i_0_1904,i_0_1791,i_0_1866,i_0_1868,i_0_1874,i_0_1884,i_0_1885,i_0_1920,i_0_1921,i_0_1911,i_0_1912,i_0_1879,i_0_1877,i_0_1081,i_0_1217,i_0_1224,i_0_1241,i_0_1268,i_0_1104,i_0_1397,i_0_930,i_0_959,i_0_969,i_0_1070,i_0_1106,i_0_1132,i_0_1392,i_0_1416,i_0_1425,i_0_1466,i_0_931,i_0_1105,i_0_1153,i_0_1165,i_0_1184,i_0_1591,i_0_1413,i_0_1535,i_0_1539,i_0_1276,i_0_1415,i_0_1490,i_0_1414,i_0_1418,i_0_1419,i_0_1417,i_0_1541,i_0_1420,i_0_1271,i_0_1272,i_0_1350,i_0_1362,i_0_1363,i_0_1273,i_0_1274,i_0_898,i_0_899,i_0_1322]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV876-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n004.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 06:05:32 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.46/5.68  % Version  : CSE_E---1.7
% 1.46/5.68  % Problem  : theBenchmark.p
% 1.46/5.68  % SZS status Unsatisfiable for theBenchmark.p
% 1.46/5.68  % SZS output start CNFRefutation
% See solution above
% 32.09/21.40  % Total time : 5.342s
%------------------------------------------------------------------------------