CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV877-1 : 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 : n009.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 05:27:36 PM UTC 2026

% Result   : Unsatisfiable 6.11s 5.69s
% Output   : CNFRefutation 14.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 905)

% Comments : 
%------------------------------------------------------------------------------
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)
    | ~ 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)
    | ~ 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_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)
    | 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_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_Un__Int__crazy_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__crazy_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_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__Un_3,axiom,
    ( c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),X3),X4),X5,X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ c_Fun_Oinj__on(X2,X4,X5,X1)
    | ~ c_Fun_Oinj__on(X2,X3,X5,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_3) ).

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

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

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

cnf(cls_card__Diff2__less_0,axiom,
    ( 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),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ c_in(X4,X1,X3)
    | ~ 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_range__ex1__eq_2,axiom,
    ( c_in(hAPP(X1,X4),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
    | hAPP(X1,X4) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X4),X1,X4,X3,X2))
    | ~ 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_range__ex1__eq_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)
    | c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__fun__updI_0) ).

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

cnf(cls_subset__image__iff_1,axiom,
    ( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X4,X5)
    | ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_1) ).

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

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

cnf(cls_subset__image__iff_0,axiom,
    ( c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_0) ).

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

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

cnf(cls_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_range__ex1__eq_3,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4) != X2
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_3) ).

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

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

cnf(cls_vimage__insert_0,axiom,
    c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4)),c_Set_Ovimage(X1,X3,X5,X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__insert_0) ).

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

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

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

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

cnf(cls_the__inv__into__into_0,axiom,
    ( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
    | ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
    | ~ 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_fun__upd__other_0,axiom,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | X6 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).

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

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

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

cnf(cls_f__the__inv__into__f_0,axiom,
    ( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ 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_inj__image__Compl__subset_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X4),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__Compl__subset_0) ).

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

cnf(cls_image__Un_0,axiom,
    c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_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__Un_0,axiom,
    c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Un_0) ).

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

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

cnf(cls_range__ex1__eq_0,axiom,
    ( X1 = hAPP(X2,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X2,X3,X4))
    | ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_0) ).

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

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

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

cnf(cls_Un__Int__assoc__eq_0,axiom,
    ( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).

cnf(cls_range__ex1__eq_1,axiom,
    ( X2 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X2),X1,X4,X3)
    | ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),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_range__ex1__eq_1) ).

cnf(cls_Int__Un__distrib2_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).

cnf(cls_Un__Int__distrib2_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib2_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_inj__image__subset__iff_1,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).

cnf(cls_inj__transfer_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X3,X4,X5),c_Set_Oimage(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X5)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__transfer_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_inj__on__Un__image__eq__iff_0,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).

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)
    | ~ c_lessequals(X4,X3,tc_fun(X5,tc_bool))
    | ~ 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)
    | ~ c_lessequals(X3,X2,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff__nat_0) ).

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

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

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

cnf(cls_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)
    | ~ 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)
    | ~ c_in(X4,X3,X5)
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1_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_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)
    | ~ c_in(X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__nat_0) ).

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

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

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

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

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

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

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

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

cnf(cls_card__Diff1__less_0,axiom,
    ( 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),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ 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_psubset__insert__iff_4,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X3,X4)
    | ~ c_in(X2,X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_4) ).

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

cnf(cls_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_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_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)
    | ~ 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_subset__insert__iff_3,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_in(X2,X1,X4)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).

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

cnf(cls_card__Diff1__le_0,axiom,
    ( 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),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff1__le_0) ).

cnf(cls_Un__Int__assoc__eq_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))
    | ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).

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

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

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

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

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

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

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

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

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

cnf(cls_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)
    | 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_finite__surj__inj_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__surj__inj_0) ).

cnf(cls_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)
    | 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_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_Un__assoc_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).

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

cnf(cls_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)
    | c_in(X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__nat_1) ).

cnf(cls_card__image__le_0,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4),c_Finite__Set_Ocard(X2,X3),tc_nat)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__image__le_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_Diff__Int__distrib2_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).

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

cnf(cls_inj__on__Un_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).

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

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

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

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

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

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

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

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

cnf(cls_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)))
    | 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_subset__insert__iff_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_in(X2,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).

cnf(cls_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_the__inv__into__f__f_0,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ 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)
    | ~ c_in(X5,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__f__eq_0) ).

cnf(cls_sup1E_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).

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

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

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

cnf(cls_Un__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X1,tc_bool))),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff_0) ).

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

cnf(cls_Diff__Un_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Un_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_vimageE_0,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageE_0) ).

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

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

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

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

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

cnf(cls_insert__image_0,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ c_in(X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).

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

cnf(cls_Un__mono_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).

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

cnf(cls_Un__left__commute_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).

cnf(cls_vimage__Compl_0,axiom,
    c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Compl_0) ).

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

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

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

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

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

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

cnf(cls_inj__on__insert_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).

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

cnf(cls_Diff__subset__conv_1,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).

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

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

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

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

cnf(cls_conjecture_4,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_Un__Diff__Int_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__Int_0) ).

cnf(cls_Diff__subset__conv_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).

cnf(cls_insert__Diff_0,axiom,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).

cnf(cls_Un__insert__left_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_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_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_Compl__Int_0,axiom,
    c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Int_0) ).

cnf(cls_Compl__Un_0,axiom,
    c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(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)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Un_0) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_sup1CI_1,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).

cnf(cls_sup1CI_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).

cnf(cls_Un__subset__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).

cnf(cls_Un__subset__iff_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).

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

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

cnf(cls_UnE_0,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_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__diff__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat)
    | ~ c_lessequals(X3,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__diff__iff_0) ).

cnf(cls_less__diff__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat)
    | ~ c_lessequals(X3,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__diff__iff_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))))
    | ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_3) ).

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

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

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

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

cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),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__sup__distrib2_0) ).

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

cnf(cls_insert__is__Un_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).

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

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

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

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

cnf(cls_Un__least_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).

cnf(cls_Un__subset__iff_2,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).

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

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

cnf(cls_Un__Diff__cancel2_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).

cnf(cls_Un__insert__right_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).

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

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

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

cnf(cls_Min__Un_0,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__Un_0) ).

cnf(cls_Max__Un_0,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__Un_0) ).

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

cnf(cls_Un__left__absorb_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).

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

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

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

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

cnf(cls_max__diff__distrib__left_0,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(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_max__diff__distrib__left_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_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_min__max_Osup__inf__distrib1_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib1_0) ).

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

cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),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__sup__distrib1_0) ).

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

cnf(cls_injD_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_injD_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)
    | ~ c_in(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__eq__0__iff_0) ).

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

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

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

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

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

cnf(cls_conjecture_2,negated_conjecture,
    c_Finite__Set_Ocard(v_G,t_a) = c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_nat__diff__split_0,axiom,
    ( hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ 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_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_finite__Un_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_0) ).

cnf(cls_finite__Un_1,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_1) ).

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

cnf(cls_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)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__diff__eq_0) ).

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

cnf(cls_Compl__Diff__eq_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Diff__eq_0) ).

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

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

cnf(cls_card__Suc__eq_5,axiom,
    ( 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_empty__is__image_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).

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

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

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

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

cnf(cls_below__fold1__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_in(X3,X4,X1)
    | ~ c_lessequals(X2,hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X4),X1)
    | ~ c_Finite__Set_Ofinite(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_below__fold1__iff_0) ).

cnf(cls_strict__below__fold1__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X4),X1)
    | ~ c_Finite__Set_Ofinite(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_strict__below__fold1__iff_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)
    | c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).

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

cnf(cls_Un__Diff__cancel_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).

cnf(cls_fold1__antimono_0,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X3),X1)
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1)
    | ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__antimono_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))
    | c_in(X1,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).

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_diff__less__mono2_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less__mono2_0) ).

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

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

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

cnf(cls_Compl__subset__Compl__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).

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

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

cnf(cls_Diff__partition_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = X3
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__partition_0) ).

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

cnf(cls_min__max_Osup__assoc_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__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_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_I6_J_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).

cnf(cls_sup__assoc_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).

cnf(cls_disjoint__eq__subset__Compl_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__eq__subset__Compl_0) ).

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

cnf(cls_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)
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__subset_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_insert__mono_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).

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

cnf(cls_disjoint__eq__subset__Compl_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__eq__subset__Compl_1) ).

cnf(cls_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)
    | ~ 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_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)
    | ~ c_in(X3,X4,X5)
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setprod__zero_0) ).

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

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

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

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

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

cnf(cls_fold1__below__iff_2,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_in(X4,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__below__iff_2) ).

cnf(cls_fold1__strict__below__iff_2,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_in(X4,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__strict__below__iff_2) ).

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

cnf(cls_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_insert__subset_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).

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

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

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

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

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

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

cnf(cls_Un__upper1_0,axiom,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).

cnf(cls_Un__upper2_0,axiom,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).

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

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

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

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

cnf(cls_insert__Diff1_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).

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

cnf(cls_finite__Un_2,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_2) ).

cnf(cls_finite__UnI_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UnI_0) ).

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

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

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

cnf(cls_Compl__anti__mono_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__anti__mono_0) ).

cnf(cls_Compl__subset__Compl__iff_1,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).

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

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

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

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

cnf(cls_le__sup__iff_2,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).

cnf(cls_sup__least_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).

cnf(cls_le__supI_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).

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

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

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

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

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

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

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

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

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)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__diff__iff_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_diff__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less_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_inf__eq__neg__sup_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__neg__sup_0) ).

cnf(cls_sup__eq__neg__inf_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__neg__inf_0) ).

cnf(cls_Un__empty_2,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__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_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_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_le__iff__diff__le__0_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_1) ).

cnf(cls_less__iff__diff__less__0_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_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_subset__trans_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).

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

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

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

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

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

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

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

cnf(cls_min__max_Osup__left__commute_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__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_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_I7_J_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).

cnf(cls_sup__left__commute_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).

cnf(cls_Compl__disjoint2_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__disjoint2_0) ).

cnf(cls_Compl__partition2_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__partition2_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_card__seteq_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__seteq_0) ).

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

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

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

cnf(cls_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_min__max_Ole__sup__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_0) ).

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

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

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

cnf(cls_le__sup__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).

cnf(cls_le__supE_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).

cnf(cls_le__sup__iff_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).

cnf(cls_le__supE_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).

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

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

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

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

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

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

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

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

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

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

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

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

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_subset__insertI2_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).

cnf(cls_subset__Un__eq_1,axiom,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).

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

cnf(cls_subset__Compl__self__eq_1,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_1) ).

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

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

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

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

cnf(cls_Un__empty_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).

cnf(cls_Un__empty_1,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).

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

cnf(cls_Diff__Compl_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Compl_0) ).

cnf(cls_Diff__eq_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__eq_0) ).

cnf(cls_card__gt__0__iff_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__gt__0__iff_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_finite__UNIV__card__ge__0_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),tc_nat)
    | ~ 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_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_Un__commute_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).

cnf(cls_ComplD_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).

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

cnf(cls_Min__insert_0,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
    | 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_Max__insert_0,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
    | 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_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_Un__UNIV__left_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).

cnf(cls_fold1__belowI_0,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X2),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__belowI_0) ).

cnf(cls_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_Int__absorb2_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).

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

cnf(cls_Un__absorb2_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X2
    | ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).

cnf(cls_Un__absorb1_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X3
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).

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

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

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

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

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

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

cnf(cls_subset__Compl__self__eq_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_0) ).

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

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

cnf(cls_less__iff__diff__less__0_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_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_diff__Suc__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__Suc__less_0) ).

cnf(cls_compl__inf_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__inf_0) ).

cnf(cls_neg__inf__eq__sup_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__inf__eq__sup_0) ).

cnf(cls_compl__sup_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__sup_0) ).

cnf(cls_neg__sup__eq__inf_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__sup__eq__inf_0) ).

cnf(cls_fold1__singleton_0,axiom,
    hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__singleton_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))
    | ~ c_lessequals(X2,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_less__supI1_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI1_0) ).

cnf(cls_less__supI2_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI2_0) ).

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

cnf(cls_psubset__card__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__card__mono_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_Un__empty__left_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).

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

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

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

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

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

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

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

cnf(cls_Compl__disjoint_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__disjoint_0) ).

cnf(cls_Compl__partition_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__partition_0) ).

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
    | ~ c_lessequals(X2,X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__diff__cancel_0) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_neg__le__iff__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__le__iff__le_0) ).

cnf(cls_neg__less__iff__less_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__iff__less_0) ).

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

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

cnf(cls_finite__compl_0,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool)),X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__compl_0) ).

cnf(cls_card__Suc__eq_4,axiom,
    ( 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_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_Un__UNIV__right_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_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
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__pred_0) ).

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

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

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

cnf(cls_minus__le__iff_1,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__le__iff_1) ).

cnf(cls_minus__le__iff_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__le__iff_0) ).

cnf(cls_minus__less__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__less__iff_1) ).

cnf(cls_minus__less__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__less__iff_0) ).

cnf(cls_le__minus__iff_1,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__minus__iff_1) ).

cnf(cls_le__minus__iff_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__minus__iff_0) ).

cnf(cls_less__minus__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__minus__iff_1) ).

cnf(cls_less__minus__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__minus__iff_0) ).

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

cnf(cls_min__max_Osup__left__idem_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__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_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_I8_J_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).

cnf(cls_sup__left__idem_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).

cnf(cls_finite__compl_1,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__compl_1) ).

cnf(cls_finite__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_Min__le_0,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__le_0) ).

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

cnf(cls_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_neg__le__0__iff__le_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__le__0__iff__le_0) ).

cnf(cls_neg__less__0__iff__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__0__iff__less_0) ).

cnf(cls_neg__0__le__iff__le_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__0__le__iff__le_0) ).

cnf(cls_neg__0__less__iff__less_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__0__less__iff__less_0) ).

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

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

cnf(cls_sup__eq__if_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__if_0) ).

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

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

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

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

cnf(cls_le__imp__neg__le_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__imp__neg__le_0) ).

cnf(cls_neg__less__iff__less_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__iff__less_1) ).

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

cnf(cls_compl__unique_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
    | ~ class_Lattices_Oboolean__algebra(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__unique_0) ).

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

cnf(cls_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_Un__empty__right_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).

cnf(cls_neg__less__eq__nonneg_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__eq__nonneg_0) ).

cnf(cls_minus__le__self__iff_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__le__self__iff_0) ).

cnf(cls_less__eq__neg__nonpos_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__neg__nonpos_0) ).

cnf(cls_le__minus__self__iff_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__minus__self__iff_0) ).

cnf(cls_less__minus__self__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__minus__self__iff_0) ).

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

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

cnf(cls_neg__le__0__iff__le_1,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__le__0__iff__le_1) ).

cnf(cls_neg__less__0__iff__less_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__0__iff__less_1) ).

cnf(cls_neg__0__le__iff__le_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__0__le__iff__le_1) ).

cnf(cls_neg__0__less__iff__less_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__0__less__iff__less_1) ).

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

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

cnf(cls_neg__less__eq__nonneg_1,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__eq__nonneg_1) ).

cnf(cls_minus__le__self__iff_1,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__le__self__iff_1) ).

cnf(cls_less__eq__neg__nonpos_1,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__neg__nonpos_1) ).

cnf(cls_le__minus__self__iff_1,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__minus__self__iff_1) ).

cnf(cls_less__minus__self__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__minus__self__iff_1) ).

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

cnf(cls_minus__diff__eq_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__diff__eq_0) ).

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

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

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

cnf(cls_ComplI_0,axiom,
    ( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
    | c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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_le__antisym_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__antisym_0) ).

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

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

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

cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
    c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__eq__Diff__UNIV_0) ).

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

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

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

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

cnf(cls_min__max_Oinf__le1_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X2,X1)
    | ~ 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,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__le2_0) ).

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

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

cnf(cls_inf__sup__ord_I3_J_0,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).

cnf(cls_sup__ge1_0,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).

cnf(cls_inf__sup__ord_I4_J_0,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).

cnf(cls_sup__ge2_0,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).

cnf(cls_diff__less__Suc_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__less__Suc_0) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_Suc__less__eq_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__less__eq_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_sup__eq__if_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = X2
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__if_1) ).

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

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

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

cnf(cls_Max__in_0,axiom,
    ( c_in(hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2),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_card__Suc__eq_2,axiom,
    ( c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,X3,X2),X2) = X3
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__eq_2) ).

cnf(cls_card__eq__SucD_2,axiom,
    ( c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,X3,X2),X2) = X3
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__SucD_2) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_min__max_Ole__iff__inf_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    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)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Oinf__absorb2_0) ).

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

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

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

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

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

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

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

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

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

cnf(cls_min__max_Ole__iff__inf_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ 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__sup_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).

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

cnf(cls_Un__absorb_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__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_card__gt__0__iff_1,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__gt__0__iff_1) ).

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

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

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

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

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

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

cnf(cls_inf__0__imp__0_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__0__imp__0_0) ).

cnf(cls_sup__0__imp__0_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__0__imp__0_0) ).

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

cnf(cls_diff__is__0__eq_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | 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_diff__eq_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X3,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__eq_0) ).

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

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

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

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

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

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

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

cnf(cls_card__gt__0__iff_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | 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_Diff__empty_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_0) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_Compl__eq__Compl__iff_0,axiom,
    ( X1 = X3
    | c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).

cnf(cls_card__Suc__eq_3,axiom,
    ( c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__eq_3) ).

cnf(cls_card__eq__SucD_3,axiom,
    ( c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__SucD_3) ).

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_linorder__linear_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).

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

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

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

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

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

cnf(cls_Compl__UNIV__eq_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__UNIV__eq_0) ).

cnf(cls_Compl__empty__eq_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__empty__eq_0) ).

cnf(cls_compl__inf__bot_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__inf__bot_0) ).

cnf(cls_compl__sup__top_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__sup__top_0) ).

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

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

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

cnf(cls_min__max_Osup__commute_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__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_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_I5_J_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).

cnf(cls_sup__commute_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__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_double__complement_0,axiom,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).

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

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

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_less__Suc0_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc0_0) ).

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

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

cnf(cls_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_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_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_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_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_sup__eq__bot__eq1_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).

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

cnf(cls_sup__eq__bot__eq2_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).

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

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

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

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

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

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

cnf(cls_inf__compl__bot_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__compl__bot_0) ).

cnf(cls_sup__compl__top_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__compl__top_0) ).

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

cnf(cls_gr__implies__not0_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gr__implies__not0_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_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_less__not__refl_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__not__refl_0) ).

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

cnf(cls_group__add__class_Odiff__0_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_group__add__class_Odiff__0_0) ).

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

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

cnf(cls_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_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_sup__top__left_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).

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

cnf(cls_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_inf__top__left_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).

cnf(cls_sup__bot__left_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).

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

cnf(cls_sup__top__right_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__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_less__Suc0_1,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc0_1) ).

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_bot__least_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).

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

cnf(cls_inf__top__right_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__right_0) ).

cnf(cls_sup__bot__right_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).

cnf(cls_finite_OemptyI_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).

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__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_le__Suc__eq_2,axiom,
    c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__Suc__eq_2) ).

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

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

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

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

cnf(cls_min__max_Osup__idem_0,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X2) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_min__max_Osup__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_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_sup__idem_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).

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

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

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

cnf(cls_lessI_0,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lessI_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_le0_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le0_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_compl__eq__compl__iff_0,axiom,
    ( X2 = X3
    | ~ class_Lattices_Oboolean__algebra(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).

cnf(cls_neg__equal__iff__equal_0,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__equal__iff__equal_0) ).

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

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

cnf(cls_double__compl_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__compl_0) ).

cnf(cls_minus__equation__iff_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).

cnf(cls_minus__minus_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__minus_0) ).

cnf(cls_equation__minus__iff_1,axiom,
    ( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).

cnf(cls_equation__minus__iff_0,axiom,
    ( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equation__minus__iff_0) ).

cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).

cnf(cls_neg__0__equal__iff__equal_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Ouminus__class_Ouminus(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__0__equal__iff__equal_0) ).

cnf(cls_neg__equal__0__iff__equal_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__equal__0__iff__equal_0) ).

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

cnf(clsarity_fun__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__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__Lattices_Oboolean__algebra,axiom,
    ( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).

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

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

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

cnf(cls_neg__equal__zero_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__equal__zero_0) ).

cnf(cls_compl__top__eq_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__top__eq_0) ).

cnf(cls_compl__bot__eq_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__bot__eq_0) ).

cnf(cls_neg__equal__zero_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__equal__zero_1) ).

cnf(cls_minus__zero_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__zero_0) ).

cnf(cls_linorder__class_OMin__def__raw_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__class_OMin__def__raw_0) ).

cnf(cls_Max__def__raw_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__def__raw_0) ).

cnf(cls_neg__0__equal__iff__equal_1,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__0__equal__iff__equal_1) ).

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_sup__max_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Orderings_Oord__class_Omax(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__max_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_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_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(cls_conjecture_3,negated_conjecture,
    v_wt(v_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).

cnf(clsarity_bool__Orderings_Otop,axiom,
    class_Orderings_Otop(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).

cnf(clsarity_nat__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__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_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__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).

cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).

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

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

cnf(clsarity_bool__Lattices_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(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_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__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

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

cnf(i_0_846,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)
    | ~ c_in(X4,X3,X6) ),
    cls_fold__graph_H_Ointros_I2_J_0,
    [final] ).

cnf(i_0_847,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
    | ~ 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_848,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)
    | 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_849,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_850,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_851,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)),
    cls_Un__Int__crazy_0,
    [final] ).

cnf(i_0_852,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_853,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_854,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_855,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_856,axiom,
    ( c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),X3),X4),X5,X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ c_Fun_Oinj__on(X2,X4,X5,X1)
    | ~ c_Fun_Oinj__on(X2,X3,X5,X1) ),
    cls_inj__on__Un_3,
    [final] ).

cnf(i_0_857,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_858,axiom,
    ( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
    | ~ c_in(X2,X6,X4) ),
    cls_fun__upd__image_0,
    [final] ).

cnf(i_0_859,axiom,
    c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
    cls_image__Int__subset_0,
    [final] ).

cnf(i_0_860,axiom,
    ( 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),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ c_in(X4,X1,X3)
    | ~ c_in(X2,X1,X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff2__less_0,
    [final] ).

cnf(i_0_861,axiom,
    ( c_in(hAPP(X1,X4),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
    | hAPP(X1,X4) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X4),X1,X4,X3,X2))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    cls_range__ex1__eq_2,
    [final] ).

cnf(i_0_862,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
    | c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    cls_inj__on__fun__updI_0,
    [final] ).

cnf(i_0_863,axiom,
    ( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X4,X5)
    | ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X5) ),
    cls_finite__subset__image_2,
    [final] ).

cnf(i_0_864,axiom,
    ( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X4,X5)
    | ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool)) ),
    cls_subset__image__iff_1,
    [final] ).

cnf(i_0_865,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),X3),X4),X5,X1) ),
    cls_inj__on__Un_2,
    [final] ).

cnf(i_0_866,axiom,
    ( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X5) ),
    cls_finite__subset__image_0,
    [final] ).

cnf(i_0_867,axiom,
    ( c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool)) ),
    cls_subset__image__iff_0,
    [final] ).

cnf(i_0_868,axiom,
    ( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)
    | ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X5) ),
    cls_finite__subset__image_1,
    [final] ).

cnf(i_0_869,axiom,
    ( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    cls_inj__on__insert_1,
    [final] ).

cnf(i_0_870,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_871,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4) != X2
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    cls_range__ex1__eq_3,
    [final] ).

cnf(i_0_872,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
    cls_image__diff__subset_0,
    [final] ).

cnf(i_0_873,axiom,
    ( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
    | c_in(X2,X6,X4) ),
    cls_fun__upd__image_1,
    [final] ).

cnf(i_0_874,axiom,
    c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4)),c_Set_Ovimage(X1,X3,X5,X4)),
    cls_vimage__insert_0,
    [final] ).

cnf(i_0_875,axiom,
    ( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
    | ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
    cls_inj__on__image__Int_0,
    [final] ).

cnf(i_0_876,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(c_Set_Oimage(X5,X3,X4,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X5,X3,X4,X2)
    | ~ c_lessequals(c_Set_Oimage(X6,X1,X2,X4),X3,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
    cls_card__bij__eq_0,
    [final] ).

cnf(i_0_877,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_878,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    cls_inj__on__insert_2,
    [final] ).

cnf(i_0_879,axiom,
    ( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
    | ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
    | ~ 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_880,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_881,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_882,axiom,
    hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
    cls_fun__upd__apply_0,
    [final] ).

cnf(i_0_883,axiom,
    hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
    cls_fun__upd__same_0,
    [final] ).

cnf(i_0_884,axiom,
    ( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ 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_885,axiom,
    ( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X4),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__image__Compl__subset_0,
    [final] ).

cnf(i_0_886,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
    cls_inj__image__subset__iff_0,
    [final] ).

cnf(i_0_887,axiom,
    c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),
    cls_image__Un_0,
    [final] ).

cnf(i_0_888,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_889,axiom,
    c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
    cls_vimage__Un_0,
    [final] ).

cnf(i_0_890,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_4,
    [final] ).

cnf(i_0_891,axiom,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
    cls_inj__on__image__set__diff_0,
    [final] ).

cnf(i_0_892,axiom,
    ( X1 = hAPP(X2,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X2,X3,X4))
    | ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    cls_range__ex1__eq_0,
    [final] ).

cnf(i_0_893,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_vimage__subsetI_0,
    [final] ).

cnf(i_0_894,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_895,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_896,axiom,
    ( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) ),
    cls_Un__Int__assoc__eq_0,
    [final] ).

cnf(i_0_897,axiom,
    ( X2 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X2),X1,X4,X3)
    | ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_range__ex1__eq_1,
    [final] ).

cnf(i_0_898,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
    cls_Int__Un__distrib2_0,
    [final] ).

cnf(i_0_899,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
    cls_Un__Int__distrib2_0,
    [final] ).

cnf(i_0_900,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_901,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    cls_inj__image__subset__iff_1,
    [final] ).

cnf(i_0_902,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X3,X4,X5),c_Set_Oimage(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X5)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    cls_inj__transfer_0,
    [final] ).

cnf(i_0_903,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_904,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_905,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
    cls_inj__on__Un__image__eq__iff_0,
    [final] ).

cnf(i_0_906,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)
    | ~ c_lessequals(X4,X3,tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setsum__diff_0,
    [final] ).

cnf(i_0_907,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)
    | ~ c_lessequals(X3,X2,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    cls_setsum__diff__nat_0,
    [final] ).

cnf(i_0_908,axiom,
    ( c_Set_Oimage(X1,X2,X3,X3) = X2
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_endo__inj__surj_0,
    [final] ).

cnf(i_0_909,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
    cls_image__vimage__subset_0,
    [final] ).

cnf(i_0_910,axiom,
    ( hAPP(X1,X2) = X3
    | ~ c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
    cls_vimage__singleton__eq_0,
    [final] ).

cnf(i_0_911,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)
    | ~ c_in(X4,X3,X5)
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setsum__diff1__ring_0,
    [final] ).

cnf(i_0_912,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)
    | ~ c_in(X4,X3,X5)
    | ~ c_Finite__Set_Ofinite(X3,X5) ),
    cls_setsum__diff1_0,
    [final] ).

cnf(i_0_913,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_914,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)
    | ~ c_in(X3,X2,X4) ),
    cls_setsum__diff1__nat_0,
    [final] ).

cnf(i_0_915,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_916,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_psubset__insert__iff_9,
    [final] ).

cnf(i_0_917,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
    cls_Int__Un__distrib_0,
    [final] ).

cnf(i_0_918,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
    cls_Un__Int__distrib_0,
    [final] ).

cnf(i_0_919,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
    cls_inj__image__mem__iff_0,
    [final] ).

cnf(i_0_920,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_in(X2,X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_psubset__insert__iff_8,
    [final] ).

cnf(i_0_921,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X4),tc_nat)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_lessequals(c_Set_Oimage(X5,X1,X2,X4),X3,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X5,X1,X2,X4) ),
    cls_card__inj__on__le_0,
    [final] ).

cnf(i_0_922,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X3,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_psubset__insert__iff_5,
    [final] ).

cnf(i_0_923,axiom,
    ( 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),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ c_in(X2,X1,X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff1__less_0,
    [final] ).

cnf(i_0_924,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X3,X4)
    | ~ c_in(X2,X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_psubset__insert__iff_4,
    [final] ).

cnf(i_0_925,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert__iff_4,
    [final] ).

cnf(i_0_926,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_927,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_928,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)
    | ~ c_in(X2,X1,X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Suc__Diff1_0,
    [final] ).

cnf(i_0_929,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_in(X2,X1,X4)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert__iff_3,
    [final] ).

cnf(i_0_930,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_in(X2,X1,X4)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    cls_diff__single__insert_0,
    [final] ).

cnf(i_0_931,axiom,
    ( 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),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff1__le_0,
    [final] ).

cnf(i_0_932,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))
    | ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
    cls_Un__Int__assoc__eq_1,
    [final] ).

cnf(i_0_933,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_934,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    cls_fun__upd__idem__iff_1,
    [final] ).

cnf(i_0_935,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    cls_fun__upd__triv_0,
    [final] ).

cnf(i_0_936,axiom,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    cls_fun__upd__idem_0,
    [final] ).

cnf(i_0_937,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_938,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_939,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    cls_image__mono_0,
    [final] ).

cnf(i_0_940,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__image__iff_2,
    [final] ).

cnf(i_0_941,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
    cls_vimage__mono_0,
    [final] ).

cnf(i_0_942,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)
    | 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_943,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__surj__inj_0,
    [final] ).

cnf(i_0_944,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)
    | 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_945,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_946,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_947,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
    cls_Un__assoc_0,
    [final] ).

cnf(i_0_948,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
    cls_inj__image__mem__iff_1,
    [final] ).

cnf(i_0_949,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)
    | c_in(X3,X2,X4) ),
    cls_setsum__diff1__nat_1,
    [final] ).

cnf(i_0_950,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4),c_Finite__Set_Ocard(X2,X3),tc_nat)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__image__le_0,
    [final] ).

cnf(i_0_951,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_952,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_953,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_954,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
    cls_inj__on__Un_0,
    [final] ).

cnf(i_0_955,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X2),X3,X4) ),
    cls_inj__on__Un_1,
    [final] ).

cnf(i_0_956,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Odistrib__inf__le_0,
    [final] ).

cnf(i_0_957,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_distrib__inf__le_0,
    [final] ).

cnf(i_0_958,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Odistrib__sup__le_0,
    [final] ).

cnf(i_0_959,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_distrib__sup__le_0,
    [final] ).

cnf(i_0_960,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_in(X2,X4,X3)
    | ~ c_in(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    cls_psubset__insert__iff_1,
    [final] ).

cnf(i_0_961,axiom,
    c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4),
    cls_vimage__singleton__eq_1,
    [final] ).

cnf(i_0_962,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,X5,X6)
    | ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
    cls_image__subset__iff_0,
    [final] ).

cnf(i_0_963,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)))
    | 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_964,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_in(X2,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert__iff_0,
    [final] ).

cnf(i_0_965,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_966,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ c_in(X5,X1,X3)
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    cls_the__inv__into__f__f_0,
    [final] ).

cnf(i_0_967,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_in(X5,X2,X3) ),
    cls_the__inv__into__f__eq_0,
    [final] ).

cnf(i_0_968,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)) ),
    cls_sup1E_0,
    [final] ).

cnf(i_0_969,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_970,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_971,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_972,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X1,tc_bool))),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
    cls_Un__Diff_0,
    [final] ).

cnf(i_0_973,axiom,
    c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool))),
    cls_Diff__Int_0,
    [final] ).

cnf(i_0_974,axiom,
    c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool))),
    cls_Diff__Un_0,
    [final] ).

cnf(i_0_975,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_976,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
    cls_vimageE_0,
    [final] ).

cnf(i_0_977,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
    cls_vimageD_0,
    [final] ).

cnf(i_0_978,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_finite__surj_0,
    [final] ).

cnf(i_0_979,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_980,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_981,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_982,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ c_in(X2,X3,X4) ),
    cls_insert__image_0,
    [final] ).

cnf(i_0_983,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    cls_Int__mono_0,
    [final] ).

cnf(i_0_984,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    cls_Un__mono_0,
    [final] ).

cnf(i_0_985,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_986,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
    cls_Un__left__commute_0,
    [final] ).

cnf(i_0_987,axiom,
    c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)),
    cls_vimage__Compl_0,
    [final] ).

cnf(i_0_988,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_989,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_990,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_991,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_992,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_993,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_2,
    [final] ).

cnf(i_0_994,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_995,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_996,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
    cls_Diff__subset__conv_1,
    [final] ).

cnf(i_0_997,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_998,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
    | ~ c_in(X2,X4,X1) ),
    cls_Int__insert__left_0,
    [final] ).

cnf(i_0_999,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_1000,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
    cls_subset__inj__on_0,
    [final] ).

cnf(i_0_1001,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    cls_conjecture_4,
    [final] ).

cnf(i_0_1002,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = X2,
    cls_Un__Diff__Int_0,
    [final] ).

cnf(i_0_1003,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
    cls_Diff__subset__conv_0,
    [final] ).

cnf(i_0_1004,axiom,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
    | ~ c_in(X1,X2,X3) ),
    cls_insert__Diff_0,
    [final] ).

cnf(i_0_1005,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4),X1),
    cls_Un__insert__left_0,
    [final] ).

cnf(i_0_1006,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_1007,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_1008,axiom,
    c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))),
    cls_Compl__Int_0,
    [final] ).

cnf(i_0_1009,axiom,
    c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(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)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))),
    cls_Compl__Un_0,
    [final] ).

cnf(i_0_1010,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
    | c_in(X2,X1,X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_card__Diff__singleton__if_1,
    [final] ).

cnf(i_0_1011,axiom,
    c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
    cls_rangeI_0,
    [final] ).

cnf(i_0_1012,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
    | ~ c_in(X3,X2,X1) ),
    cls_Int__insert__right_0,
    [final] ).

cnf(i_0_1013,axiom,
    ( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
    | ~ c_in(hAPP(X2,X1),X3,X5) ),
    cls_vimage__eq_1,
    [final] ).

cnf(i_0_1014,axiom,
    ( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
    | ~ c_in(hAPP(X2,X1),X3,X5) ),
    cls_vimageI2_0,
    [final] ).

cnf(i_0_1015,axiom,
    ( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
    | ~ c_in(hAPP(X2,X1),X3,X5) ),
    cls_vimageI_0,
    [final] ).

cnf(i_0_1016,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    cls_imageI_0,
    [final] ).

cnf(i_0_1017,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    cls_image__eqI_0,
    [final] ).

cnf(i_0_1018,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    cls_image__iff_2,
    [final] ).

cnf(i_0_1019,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    cls_rev__image__eqI_0,
    [final] ).

cnf(i_0_1020,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_1021,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_sup1CI_1,
    [final] ).

cnf(i_0_1022,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
    | ~ hBOOL(hAPP(X3,X4)) ),
    cls_sup1CI_0,
    [final] ).

cnf(i_0_1023,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_0,
    [final] ).

cnf(i_0_1024,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_1,
    [final] ).

cnf(i_0_1025,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
    cls_Int__subset__iff_0,
    [final] ).

cnf(i_0_1026,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)) ),
    cls_Int__subset__iff_1,
    [final] ).

cnf(i_0_1027,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3) ),
    cls_UnE_0,
    [final] ).

cnf(i_0_1028,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_1029,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat)
    | ~ c_lessequals(X3,X1,tc_nat) ),
    cls_le__diff__iff_0,
    [final] ).

cnf(i_0_1030,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat)
    | ~ c_lessequals(X3,X1,tc_nat) ),
    cls_less__diff__iff_0,
    [final] ).

cnf(i_0_1031,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4)))
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_3,
    [final] ).

cnf(i_0_1032,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Diff__mono_0,
    [final] ).

cnf(i_0_1033,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_1034,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__inf__distrib2_0,
    [final] ).

cnf(i_0_1035,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_inf__sup__distrib2_0,
    [final] ).

cnf(i_0_1036,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__sup__distrib2_0,
    [final] ).

cnf(i_0_1037,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_sup__inf__distrib2_0,
    [final] ).

cnf(i_0_1038,axiom,
    c_Set_Oinsert(X1,X2,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X2),
    cls_insert__is__Un_0,
    [final] ).

cnf(i_0_1039,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_in(X3,X4,X5)
    | ~ c_in(X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
    cls_inj__on__contraD_0,
    [final] ).

cnf(i_0_1040,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_in(X3,X4,X5)
    | ~ c_in(X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
    cls_inj__on__iff_0,
    [final] ).

cnf(i_0_1041,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_in(X3,X4,X5)
    | ~ c_in(X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
    cls_inj__on__def_0,
    [final] ).

cnf(i_0_1042,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6)
    | ~ c_in(X3,X4,X5)
    | ~ c_in(X2,X4,X5) ),
    cls_inj__onD_0,
    [final] ).

cnf(i_0_1043,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    cls_Un__least_0,
    [final] ).

cnf(i_0_1044,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    cls_Un__subset__iff_2,
    [final] ).

cnf(i_0_1045,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    cls_Int__greatest_0,
    [final] ).

cnf(i_0_1046,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    cls_Int__subset__iff_2,
    [final] ).

cnf(i_0_1047,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
    cls_Un__Diff__cancel2_0,
    [final] ).

cnf(i_0_1048,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4),X1),
    cls_Un__insert__right_0,
    [final] ).

cnf(i_0_1049,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3) ),
    cls_IntE_0,
    [final] ).

cnf(i_0_1050,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3) ),
    cls_IntE_1,
    [final] ).

cnf(i_0_1051,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    cls_subset__singletonD_0,
    [final] ).

cnf(i_0_1052,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__Un_0,
    [final] ).

cnf(i_0_1053,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Max__Un_0,
    [final] ).

cnf(i_0_1054,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_1055,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
    cls_Un__left__absorb_0,
    [final] ).

cnf(i_0_1056,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
    | c_in(X2,X4,X1) ),
    cls_Int__insert__left_1,
    [final] ).

cnf(i_0_1057,negated_conjecture,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    cls_conjecture_1,
    [final] ).

cnf(i_0_1058,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),X3,X4)
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_1,
    [final] ).

cnf(i_0_1059,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ c_in(X5,X4,X3) ),
    cls_image__constant_0,
    [final] ).

cnf(i_0_1060,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(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_max__diff__distrib__left_0,
    [final] ).

cnf(i_0_1061,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_1062,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_1063,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_1064,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__inf__distrib1_0,
    [final] ).

cnf(i_0_1065,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_inf__sup__distrib1_0,
    [final] ).

cnf(i_0_1066,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__sup__distrib1_0,
    [final] ).

cnf(i_0_1067,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_sup__inf__distrib1_0,
    [final] ).

cnf(i_0_1068,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_1069,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)
    | ~ c_in(X4,X2,X3) ),
    cls_setsum__eq__0__iff_0,
    [final] ).

cnf(i_0_1070,axiom,
    ( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
    | ~ c_in(X1,X4,X2)
    | ~ c_in(X1,X3,X2) ),
    cls_Int__iff_2,
    [final] ).

cnf(i_0_1071,axiom,
    ( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
    | ~ c_in(X1,X4,X2)
    | ~ c_in(X1,X3,X2) ),
    cls_IntI_0,
    [final] ).

cnf(i_0_1072,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    cls_le__diff__iff_1,
    [final] ).

cnf(i_0_1073,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    cls_less__diff__iff_1,
    [final] ).

cnf(i_0_1074,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
    | ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
    | ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X4) ),
    cls_finite__subset__induct_0,
    [final] ).

cnf(i_0_1075,negated_conjecture,
    c_Finite__Set_Ocard(v_G,t_a) = c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
    cls_conjecture_2,
    [final] ).

cnf(i_0_1076,axiom,
    ( hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))) ),
    cls_nat__diff__split_0,
    [final] ).

cnf(i_0_1077,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_1078,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
    cls_finite__Un_0,
    [final] ).

cnf(i_0_1079,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2) ),
    cls_finite__Un_1,
    [final] ).

cnf(i_0_1080,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_psubset__insert__iff_7,
    [final] ).

cnf(i_0_1081,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)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    cls_Nat_Odiff__diff__eq_0,
    [final] ).

cnf(i_0_1082,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X1,X3)
    | c_in(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_psubset__insert__iff_2,
    [final] ).

cnf(i_0_1083,axiom,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))),X2),
    cls_Compl__Diff__eq_0,
    [final] ).

cnf(i_0_1084,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
    | ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    cls_double__diff_0,
    [final] ).

cnf(i_0_1085,axiom,
    ( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X2) ),
    cls_vimage__const_0,
    [final] ).

cnf(i_0_1086,axiom,
    ( 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_1087,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_1088,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_1089,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_psubset__insert__iff_0,
    [final] ).

cnf(i_0_1090,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
    | c_in(X1,X2,X3) ),
    cls_Diff__insert__absorb_0,
    [final] ).

cnf(i_0_1091,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
    | c_in(X3,X2,X1) ),
    cls_Int__insert__right_1,
    [final] ).

cnf(i_0_1092,axiom,
    ( c_lessequals(X2,X3,X1)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_in(X3,X4,X1)
    | ~ c_lessequals(X2,hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X4),X1)
    | ~ c_Finite__Set_Ofinite(X4,X1) ),
    cls_below__fold1__iff_0,
    [final] ).

cnf(i_0_1093,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X4),X1)
    | ~ c_Finite__Set_Ofinite(X4,X1) ),
    cls_strict__below__fold1__iff_0,
    [final] ).

cnf(i_0_1094,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
    | c_in(X1,X4,X3) ),
    cls_insert__Diff__if_1,
    [final] ).

cnf(i_0_1095,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_disjoint__iff__not__equal_0,
    [final] ).

cnf(i_0_1096,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
    cls_Un__Diff__cancel_0,
    [final] ).

cnf(i_0_1097,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X3),X1)
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1)
    | ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
    cls_fold1__antimono_0,
    [final] ).

cnf(i_0_1098,axiom,
    ( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_in(X1,X4,X2) ),
    cls_vimage__const_1,
    [final] ).

cnf(i_0_1099,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_1100,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
    cls_diff__less__mono2_0,
    [final] ).

cnf(i_0_1101,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    cls_diff__less__mono_0,
    [final] ).

cnf(i_0_1102,axiom,
    ( c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2)
    | ~ c_in(X1,X3,X2) ),
    cls_UnCI_1,
    [final] ).

cnf(i_0_1103,axiom,
    ( c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2)
    | ~ c_in(X1,X4,X2) ),
    cls_UnCI_0,
    [final] ).

cnf(i_0_1104,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    cls_Compl__subset__Compl__iff_0,
    [final] ).

cnf(i_0_1105,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert_0,
    [final] ).

cnf(i_0_1106,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert__iff_1,
    [final] ).

cnf(i_0_1107,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = X3
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    cls_Diff__partition_0,
    [final] ).

cnf(i_0_1108,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_singletonE_0,
    [final] ).

cnf(i_0_1109,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__assoc_0,
    [final] ).

cnf(i_0_1110,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_1111,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_1112,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_1113,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I6_J_0,
    [final] ).

cnf(i_0_1114,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__assoc_0,
    [final] ).

cnf(i_0_1115,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    cls_disjoint__eq__subset__Compl_0,
    [final] ).

cnf(i_0_1116,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | c_in(X2,X3,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_psubset__insert__iff_3,
    [final] ).

cnf(i_0_1117,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)
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__Diff__subset_0,
    [final] ).

cnf(i_0_1118,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    cls_insert__code_0,
    [final] ).

cnf(i_0_1119,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    cls_insert__mono_0,
    [final] ).

cnf(i_0_1120,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
    cls_DiffE_1,
    [final] ).

cnf(i_0_1121,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    cls_disjoint__eq__subset__Compl_1,
    [final] ).

cnf(i_0_1122,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)
    | ~ c_in(X3,X4,X5)
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_setprod__zero__iff_2,
    [final] ).

cnf(i_0_1123,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)
    | ~ c_in(X3,X4,X5)
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_setprod__zero_0,
    [final] ).

cnf(i_0_1124,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    cls_insert__subset_2,
    [final] ).

cnf(i_0_1125,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_in(X2,X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_psubset__insert__iff_6,
    [final] ).

cnf(i_0_1126,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Max__eqI_1,
    [final] ).

cnf(i_0_1127,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_lessequals(X3,c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__eqI_1,
    [final] ).

cnf(i_0_1128,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X3),c_Finite__Set_Ocard(X2,X3),tc_nat)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__psubset_0,
    [final] ).

cnf(i_0_1129,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_in(X4,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_fold1__below__iff_2,
    [final] ).

cnf(i_0_1130,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1),X2),X3,X1)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_in(X4,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_fold1__strict__below__iff_2,
    [final] ).

cnf(i_0_1131,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3) ),
    cls_DiffE_0,
    [final] ).

cnf(i_0_1132,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_1133,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    cls_insert__subset_1,
    [final] ).

cnf(i_0_1134,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
    cls_min__le__iff__disj_0,
    [final] ).

cnf(i_0_1135,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
    cls_min__less__iff__disj_0,
    [final] ).

cnf(i_0_1136,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3),X1) ),
    cls_le__max__iff__disj_0,
    [final] ).

cnf(i_0_1137,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3),X1) ),
    cls_less__max__iff__disj_0,
    [final] ).

cnf(i_0_1138,axiom,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
    cls_Int__lower1_0,
    [final] ).

cnf(i_0_1139,axiom,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
    cls_Int__lower2_0,
    [final] ).

cnf(i_0_1140,axiom,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
    cls_Un__upper1_0,
    [final] ).

cnf(i_0_1141,axiom,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
    cls_Un__upper2_0,
    [final] ).

cnf(i_0_1142,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert_1,
    [final] ).

cnf(i_0_1143,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert__iff_2,
    [final] ).

cnf(i_0_1144,axiom,
    ( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    cls_Diff__iff_2,
    [final] ).

cnf(i_0_1145,axiom,
    ( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
    | c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    cls_DiffI_0,
    [final] ).

cnf(i_0_1146,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    cls_insert__Diff1_0,
    [final] ).

cnf(i_0_1147,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_1148,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_finite__Un_2,
    [final] ).

cnf(i_0_1149,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_finite__UnI_0,
    [final] ).

cnf(i_0_1150,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    cls_insert__subset_0,
    [final] ).

cnf(i_0_1151,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat) ),
    cls_diff__le__mono2_0,
    [final] ).

cnf(i_0_1152,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat) ),
    cls_diff__le__mono_0,
    [final] ).

cnf(i_0_1153,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    cls_Compl__anti__mono_0,
    [final] ).

cnf(i_0_1154,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    cls_Compl__subset__Compl__iff_1,
    [final] ).

cnf(i_0_1155,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    cls_card__insert__le_0,
    [final] ).

cnf(i_0_1156,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__max_Ole__sup__iff_2,
    [final] ).

cnf(i_0_1157,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__max_Osup__least_0,
    [final] ).

cnf(i_0_1158,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__max_Ole__supI_0,
    [final] ).

cnf(i_0_1159,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__sup__iff_2,
    [final] ).

cnf(i_0_1160,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_sup__least_0,
    [final] ).

cnf(i_0_1161,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__supI_0,
    [final] ).

cnf(i_0_1162,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_max__less__iff__conj_2,
    [final] ).

cnf(i_0_1163,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_inf__greatest_0,
    [final] ).

cnf(i_0_1164,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__inf__iff_2,
    [final] ).

cnf(i_0_1165,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__infI_0,
    [final] ).

cnf(i_0_1166,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_min__max_Oinf__greatest_0,
    [final] ).

cnf(i_0_1167,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_min__max_Ole__inf__iff_2,
    [final] ).

cnf(i_0_1168,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_min__max_Ole__infI_0,
    [final] ).

cnf(i_0_1169,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_min__less__iff__conj_2,
    [final] ).

cnf(i_0_1170,axiom,
    ( X1 = X3
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    cls_eq__diff__iff_0,
    [final] ).

cnf(i_0_1171,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_1172,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    cls_diff__less_0,
    [final] ).

cnf(i_0_1173,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_1174,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_inf__eq__neg__sup_0,
    [final] ).

cnf(i_0_1175,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_sup__eq__neg__inf_0,
    [final] ).

cnf(i_0_1176,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Un__empty_2,
    [final] ).

cnf(i_0_1177,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_1178,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_1179,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_1180,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_1181,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_le__iff__diff__le__0_1,
    [final] ).

cnf(i_0_1182,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_less__iff__diff__less__0_1,
    [final] ).

cnf(i_0_1183,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_1184,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_1185,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_1186,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_1187,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_subset__trans_0,
    [final] ).

cnf(i_0_1188,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_psubset__subset__trans_0,
    [final] ).

cnf(i_0_1189,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_subset__psubset__trans_0,
    [final] ).

cnf(i_0_1190,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_psubset__trans_0,
    [final] ).

cnf(i_0_1191,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_lessequals(X5,X4,X1) ),
    cls_le__eqI_1,
    [final] ).

cnf(i_0_1192,axiom,
    ( c_lessequals(X5,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_le__eqI_0,
    [final] ).

cnf(i_0_1193,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
    cls_less__eqI_1,
    [final] ).

cnf(i_0_1194,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_less__eqI_0,
    [final] ).

cnf(i_0_1195,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__left__commute_0,
    [final] ).

cnf(i_0_1196,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_1197,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_1198,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_1199,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I7_J_0,
    [final] ).

cnf(i_0_1200,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__left__commute_0,
    [final] ).

cnf(i_0_1201,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Compl__disjoint2_0,
    [final] ).

cnf(i_0_1202,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Compl__partition2_0,
    [final] ).

cnf(i_0_1203,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_1204,axiom,
    ( X1 = X2
    | ~ c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X1,X3),tc_nat)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__seteq_0,
    [final] ).

cnf(i_0_1205,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3),X1)
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    cls_Max__mono_0,
    [final] ).

cnf(i_0_1206,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3),X1)
    | X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_Finite__Set_Ofinite(X2,X1)
    | ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
    cls_Min__antimono_0,
    [final] ).

cnf(i_0_1207,axiom,
    ( c_in(X1,X2,X3)
    | X1 = X4
    | ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
    cls_insertE_0,
    [final] ).

cnf(i_0_1208,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_1209,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
    cls_min__max_Ole__sup__iff_0,
    [final] ).

cnf(i_0_1210,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
    cls_min__max_Ole__supE_0,
    [final] ).

cnf(i_0_1211,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
    cls_min__max_Ole__sup__iff_1,
    [final] ).

cnf(i_0_1212,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
    cls_min__max_Ole__supE_1,
    [final] ).

cnf(i_0_1213,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
    cls_le__sup__iff_0,
    [final] ).

cnf(i_0_1214,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
    cls_le__supE_0,
    [final] ).

cnf(i_0_1215,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
    cls_le__sup__iff_1,
    [final] ).

cnf(i_0_1216,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
    cls_le__supE_1,
    [final] ).

cnf(i_0_1217,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),X3,X1) ),
    cls_max__less__iff__conj_0,
    [final] ).

cnf(i_0_1218,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2),X3,X1) ),
    cls_max__less__iff__conj_1,
    [final] ).

cnf(i_0_1219,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
    cls_le__inf__iff_0,
    [final] ).

cnf(i_0_1220,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
    cls_le__infE_0,
    [final] ).

cnf(i_0_1221,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
    cls_le__inf__iff_1,
    [final] ).

cnf(i_0_1222,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
    cls_le__infE_1,
    [final] ).

cnf(i_0_1223,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
    cls_min__max_Ole__inf__iff_0,
    [final] ).

cnf(i_0_1224,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
    cls_min__max_Ole__infE_0,
    [final] ).

cnf(i_0_1225,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
    cls_min__max_Ole__inf__iff_1,
    [final] ).

cnf(i_0_1226,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
    cls_min__max_Ole__infE_1,
    [final] ).

cnf(i_0_1227,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
    cls_min__less__iff__conj_0,
    [final] ).

cnf(i_0_1228,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
    cls_min__less__iff__conj_1,
    [final] ).

cnf(i_0_1229,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_1230,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insertI2_0,
    [final] ).

cnf(i_0_1231,axiom,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != X3 ),
    cls_subset__Un__eq_1,
    [final] ).

cnf(i_0_1232,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
    cls_zero__less__diff_0,
    [final] ).

cnf(i_0_1233,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    cls_subset__Compl__self__eq_1,
    [final] ).

cnf(i_0_1234,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_1235,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_1236,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2) = X3
    | c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__eqI_0,
    [final] ).

cnf(i_0_1237,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2) = X3
    | c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Max__eqI_0,
    [final] ).

cnf(i_0_1238,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    cls_Un__empty_0,
    [final] ).

cnf(i_0_1239,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    cls_Un__empty_1,
    [final] ).

cnf(i_0_1240,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
    | c_lessequals(X3,X2,tc_fun(X4,X1))
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
    cls_less__fun__def_2,
    [final] ).

cnf(i_0_1241,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),
    cls_Diff__Compl_0,
    [final] ).

cnf(i_0_1242,axiom,
    c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))),
    cls_Diff__eq_0,
    [final] ).

cnf(i_0_1243,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat),
    cls_card__gt__0__iff_0,
    [final] ).

cnf(i_0_1244,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_insert__code_2,
    [final] ).

cnf(i_0_1245,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),tc_nat)
    | ~ 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_1246,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_1247,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2),
    cls_Un__commute_0,
    [final] ).

cnf(i_0_1248,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
    cls_ComplD_0,
    [final] ).

cnf(i_0_1249,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,X2,X3)
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    cls_insert__ident_0,
    [final] ).

cnf(i_0_1250,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))
    | 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_1251,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,X3,X1)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))
    | 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_1252,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_1253,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Un__UNIV__left_0,
    [final] ).

cnf(i_0_1254,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X2),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_fold1__belowI_0,
    [final] ).

cnf(i_0_1255,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_1256,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_1257,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    cls_Int__absorb2_0,
    [final] ).

cnf(i_0_1258,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
    | ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
    cls_Int__absorb1_0,
    [final] ).

cnf(i_0_1259,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X2
    | ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
    cls_Un__absorb2_0,
    [final] ).

cnf(i_0_1260,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X3
    | ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    cls_Un__absorb1_0,
    [final] ).

cnf(i_0_1261,axiom,
    c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
    cls_singleton__iff_1,
    [final] ).

cnf(i_0_1262,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_set__mp_0,
    [final] ).

cnf(i_0_1263,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_subsetD_0,
    [final] ).

cnf(i_0_1264,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    cls_set__rev__mp_0,
    [final] ).

cnf(i_0_1265,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__iff_0,
    [final] ).

cnf(i_0_1266,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_psubsetD_0,
    [final] ).

cnf(i_0_1267,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    cls_subset__Compl__self__eq_0,
    [final] ).

cnf(i_0_1268,axiom,
    ( ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X3,tc_fun(X4,X1))
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
    cls_less__fun__def_1,
    [final] ).

cnf(i_0_1269,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__diff__le__0_0,
    [final] ).

cnf(i_0_1270,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_less__iff__diff__less__0_0,
    [final] ).

cnf(i_0_1271,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_1272,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    cls_diff__Suc__less_0,
    [final] ).

cnf(i_0_1273,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_compl__inf_0,
    [final] ).

cnf(i_0_1274,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_neg__inf__eq__sup_0,
    [final] ).

cnf(i_0_1275,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_compl__sup_0,
    [final] ).

cnf(i_0_1276,axiom,
    ( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_neg__sup__eq__inf_0,
    [final] ).

cnf(i_0_1277,axiom,
    hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) = X3,
    cls_fold1__singleton_0,
    [final] ).

cnf(i_0_1278,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
    | ~ c_lessequals(X2,X1,tc_nat) ),
    cls_Suc__diff__le_0,
    [final] ).

cnf(i_0_1279,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__infI1_0,
    [final] ).

cnf(i_0_1280,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_le__infI2_0,
    [final] ).

cnf(i_0_1281,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__le__iff__disj_1,
    [final] ).

cnf(i_0_1282,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__max_Ole__infI1_0,
    [final] ).

cnf(i_0_1283,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_min__le__iff__disj_2,
    [final] ).

cnf(i_0_1284,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_min__max_Ole__infI2_0,
    [final] ).

cnf(i_0_1285,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_less__infI1_0,
    [final] ).

cnf(i_0_1286,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_less__infI2_0,
    [final] ).

cnf(i_0_1287,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_min__less__iff__disj_1,
    [final] ).

cnf(i_0_1288,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_min__max_Oless__infI1_0,
    [final] ).

cnf(i_0_1289,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_min__less__iff__disj_2,
    [final] ).

cnf(i_0_1290,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_min__max_Oless__infI2_0,
    [final] ).

cnf(i_0_1291,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__max__iff__disj_1,
    [final] ).

cnf(i_0_1292,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_min__max_Ole__supI1_0,
    [final] ).

cnf(i_0_1293,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__max__iff__disj_2,
    [final] ).

cnf(i_0_1294,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__max_Ole__supI2_0,
    [final] ).

cnf(i_0_1295,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__supI1_0,
    [final] ).

cnf(i_0_1296,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__supI2_0,
    [final] ).

cnf(i_0_1297,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_less__max__iff__disj_1,
    [final] ).

cnf(i_0_1298,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_min__max_Oless__supI1_0,
    [final] ).

cnf(i_0_1299,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_less__max__iff__disj_2,
    [final] ).

cnf(i_0_1300,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_min__max_Oless__supI2_0,
    [final] ).

cnf(i_0_1301,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_less__supI1_0,
    [final] ).

cnf(i_0_1302,axiom,
    ( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_less__supI2_0,
    [final] ).

cnf(i_0_1303,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_card__mono_0,
    [final] ).

cnf(i_0_1304,axiom,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_psubset__card__mono_0,
    [final] ).

cnf(i_0_1305,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_1306,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
    cls_Un__empty__left_0,
    [final] ).

cnf(i_0_1307,axiom,
    ( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    cls_insertCI_0,
    [final] ).

cnf(i_0_1308,axiom,
    ( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    cls_insert__iff_2,
    [final] ).

cnf(i_0_1309,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_equalityI_0,
    [final] ).

cnf(i_0_1310,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_set__eq__subset_2,
    [final] ).

cnf(i_0_1311,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__insert__if_0,
    [final] ).

cnf(i_0_1312,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    cls_zero__less__diff_1,
    [final] ).

cnf(i_0_1313,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1,
    [final] ).

cnf(i_0_1314,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Compl__disjoint_0,
    [final] ).

cnf(i_0_1315,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Compl__partition_0,
    [final] ).

cnf(i_0_1316,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = X2
    | ~ c_lessequals(X2,X1,tc_nat) ),
    cls_diff__diff__cancel_0,
    [final] ).

cnf(i_0_1317,axiom,
    ( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
    cls_le__funD_0,
    [final] ).

cnf(i_0_1318,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    cls_less__imp__diff__less_0,
    [final] ).

cnf(i_0_1319,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Min__singleton_0,
    [final] ).

cnf(i_0_1320,axiom,
    ( hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Max__singleton_0,
    [final] ).

cnf(i_0_1321,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_xt1_I6_J_0,
    [final] ).

cnf(i_0_1322,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_order__trans_0,
    [final] ).

cnf(i_0_1323,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_xt1_I8_J_0,
    [final] ).

cnf(i_0_1324,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    cls_xt1_I7_J_0,
    [final] ).

cnf(i_0_1325,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    cls_xt1_I10_J_0,
    [final] ).

cnf(i_0_1326,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_order__less__le__trans_0,
    [final] ).

cnf(i_0_1327,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_order__le__less__trans_0,
    [final] ).

cnf(i_0_1328,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_order__less__trans_0,
    [final] ).

cnf(i_0_1329,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    cls_subset__empty_0,
    [final] ).

cnf(i_0_1330,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    cls_Diff__subset_0,
    [final] ).

cnf(i_0_1331,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_neg__le__iff__le_0,
    [final] ).

cnf(i_0_1332,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_neg__less__iff__less_0,
    [final] ).

cnf(i_0_1333,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Suc(c_Finite__Set_Ocard(X2,X3))
    | c_in(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_card__insert__if_1,
    [final] ).

cnf(i_0_1334,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    cls_less__trans__Suc_0,
    [final] ).

cnf(i_0_1335,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool)),X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_finite__compl_0,
    [final] ).

cnf(i_0_1336,axiom,
    ( 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_1337,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_1338,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Un__UNIV__right_0,
    [final] ).

cnf(i_0_1339,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    cls_Suc__pred_0,
    [final] ).

cnf(i_0_1340,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat) ),
    cls_le__trans_0,
    [final] ).

cnf(i_0_1341,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_1342,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    cls_bex__empty_0,
    [final] ).

cnf(i_0_1343,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    cls_minus__le__iff_1,
    [final] ).

cnf(i_0_1344,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    cls_minus__le__iff_0,
    [final] ).

cnf(i_0_1345,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    cls_minus__less__iff_1,
    [final] ).

cnf(i_0_1346,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
    cls_minus__less__iff_0,
    [final] ).

cnf(i_0_1347,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_le__minus__iff_1,
    [final] ).

cnf(i_0_1348,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_le__minus__iff_0,
    [final] ).

cnf(i_0_1349,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_less__minus__iff_1,
    [final] ).

cnf(i_0_1350,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_less__minus__iff_0,
    [final] ).

cnf(i_0_1351,axiom,
    ( c_lessequals(X2,X3,tc_fun(X4,X1))
    | ~ class_HOL_Oord(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
    cls_less__fun__def_0,
    [final] ).

cnf(i_0_1352,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__left__idem_0,
    [final] ).

cnf(i_0_1353,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_1354,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_1355,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_1356,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I8_J_0,
    [final] ).

cnf(i_0_1357,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__left__idem_0,
    [final] ).

cnf(i_0_1358,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    cls_finite__compl_1,
    [final] ).

cnf(i_0_1359,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_1360,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    cls_bot1E_0,
    [final] ).

cnf(i_0_1361,axiom,
    ( c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X3,X2,X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    cls_Min__le_0,
    [final] ).

cnf(i_0_1362,axiom,
    ( c_lessequals(X2,hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_in(X2,X3,X1)
    | ~ c_Finite__Set_Ofinite(X3,X1) ),
    cls_Max__ge_0,
    [final] ).

cnf(i_0_1363,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_1364,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_neg__le__0__iff__le_0,
    [final] ).

cnf(i_0_1365,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_neg__less__0__iff__less_0,
    [final] ).

cnf(i_0_1366,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_neg__0__le__iff__le_0,
    [final] ).

cnf(i_0_1367,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_neg__0__less__iff__less_0,
    [final] ).

cnf(i_0_1368,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    cls_not__psubset__empty_0,
    [final] ).

cnf(i_0_1369,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_less__le__not__le_2,
    [final] ).

cnf(i_0_1370,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_sup__eq__if_0,
    [final] ).

cnf(i_0_1371,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_psubset__eq_2,
    [final] ).

cnf(i_0_1372,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__iff__psubset__eq_0,
    [final] ).

cnf(i_0_1373,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    cls_predicate1D_0,
    [final] ).

cnf(i_0_1374,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_rev__predicate1D_0,
    [final] ).

cnf(i_0_1375,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_le__imp__neg__le_0,
    [final] ).

cnf(i_0_1376,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_neg__less__iff__less_1,
    [final] ).

cnf(i_0_1377,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_psubset__eq_0,
    [final] ).

cnf(i_0_1378,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
    | ~ class_Lattices_Oboolean__algebra(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
    cls_compl__unique_0,
    [final] ).

cnf(i_0_1379,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    cls_ball__empty_0,
    [final] ).

cnf(i_0_1380,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_1381,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
    cls_Un__empty__right_0,
    [final] ).

cnf(i_0_1382,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    cls_neg__less__eq__nonneg_0,
    [final] ).

cnf(i_0_1383,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    cls_minus__le__self__iff_0,
    [final] ).

cnf(i_0_1384,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_less__eq__neg__nonpos_0,
    [final] ).

cnf(i_0_1385,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_le__minus__self__iff_0,
    [final] ).

cnf(i_0_1386,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    cls_less__minus__self__iff_0,
    [final] ).

cnf(i_0_1387,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X1),X2))
    | ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
    cls_assms_I1_J_0,
    [final] ).

cnf(i_0_1388,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | X3 = X2
    | c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
    cls_nat__less__cases_0,
    [final] ).

cnf(i_0_1389,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_neg__le__0__iff__le_1,
    [final] ).

cnf(i_0_1390,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_neg__less__0__iff__less_1,
    [final] ).

cnf(i_0_1391,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_neg__0__le__iff__le_1,
    [final] ).

cnf(i_0_1392,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_neg__0__less__iff__less_1,
    [final] ).

cnf(i_0_1393,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_1394,axiom,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    cls_subset__insertI_0,
    [final] ).

cnf(i_0_1395,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_neg__less__eq__nonneg_1,
    [final] ).

cnf(i_0_1396,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_minus__le__self__iff_1,
    [final] ).

cnf(i_0_1397,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_less__eq__neg__nonpos_1,
    [final] ).

cnf(i_0_1398,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_le__minus__self__iff_1,
    [final] ).

cnf(i_0_1399,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_less__minus__self__iff_1,
    [final] ).

cnf(i_0_1400,axiom,
    ( c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_comm__monoid__add_Ononempty__iff_2,
    [final] ).

cnf(i_0_1401,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_minus__diff__eq_0,
    [final] ).

cnf(i_0_1402,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__eq__iff_2,
    [final] ).

cnf(i_0_1403,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__antisym_0,
    [final] ).

cnf(i_0_1404,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_order__antisym__conv_0,
    [final] ).

cnf(i_0_1405,axiom,
    ( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
    | c_in(X1,X2,X3) ),
    cls_ComplI_0,
    [final] ).

cnf(i_0_1406,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    cls_subset__empty_1,
    [final] ).

cnf(i_0_1407,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_1408,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_1409,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_linorder__antisym__conv2_1,
    [final] ).

cnf(i_0_1410,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_linorder__not__less_1,
    [final] ).

cnf(i_0_1411,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_linorder__not__le_1,
    [final] ).

cnf(i_0_1412,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_not__less__iff__gr__or__eq_1,
    [final] ).

cnf(i_0_1413,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_xt1_I9_J_0,
    [final] ).

cnf(i_0_1414,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_less__le__not__le_1,
    [final] ).

cnf(i_0_1415,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_order__less__asym_H_0,
    [final] ).

cnf(i_0_1416,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_order__less__asym_0,
    [final] ).

cnf(i_0_1417,axiom,
    ( X1 = X2
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    cls_le__less__Suc__eq_0,
    [final] ).

cnf(i_0_1418,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
    cls_not__less__eq__eq_1,
    [final] ).

cnf(i_0_1419,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    cls_not__less__eq_1,
    [final] ).

cnf(i_0_1420,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_1421,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_le__antisym_0,
    [final] ).

cnf(i_0_1422,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    cls_emptyE_0,
    [final] ).

cnf(i_0_1423,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    cls_empty__iff_0,
    [final] ).

cnf(i_0_1424,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    cls_ex__in__conv_0,
    [final] ).

cnf(i_0_1425,axiom,
    c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    cls_Compl__eq__Diff__UNIV_0,
    [final] ).

cnf(i_0_1426,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I1_J_0,
    [final] ).

cnf(i_0_1427,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le1_0,
    [final] ).

cnf(i_0_1428,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I2_J_0,
    [final] ).

cnf(i_0_1429,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le2_0,
    [final] ).

cnf(i_0_1430,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__le1_0,
    [final] ).

cnf(i_0_1431,axiom,
    ( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__le2_0,
    [final] ).

cnf(i_0_1432,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_le__maxI1_0,
    [final] ).

cnf(i_0_1433,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_le__maxI2_0,
    [final] ).

cnf(i_0_1434,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I3_J_0,
    [final] ).

cnf(i_0_1435,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__ge1_0,
    [final] ).

cnf(i_0_1436,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I4_J_0,
    [final] ).

cnf(i_0_1437,axiom,
    ( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__ge2_0,
    [final] ).

cnf(i_0_1438,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat),
    cls_diff__less__Suc_0,
    [final] ).

cnf(i_0_1439,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__inf__absorb_0,
    [final] ).

cnf(i_0_1440,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__absorb_0,
    [final] ).

cnf(i_0_1441,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__sup__absorb_0,
    [final] ).

cnf(i_0_1442,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    cls_sup__inf__absorb_0,
    [final] ).

cnf(i_0_1443,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    cls_insertCI_1,
    [final] ).

cnf(i_0_1444,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    cls_insertI1_0,
    [final] ).

cnf(i_0_1445,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    cls_insert__iff_1,
    [final] ).

cnf(i_0_1446,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    cls_finite__subset_0,
    [final] ).

cnf(i_0_1447,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_rev__finite__subset_0,
    [final] ).

cnf(i_0_1448,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
    cls_diff__le__self_0,
    [final] ).

cnf(i_0_1449,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Suc__le__mono_0,
    [final] ).

cnf(i_0_1450,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Suc__less__eq_0,
    [final] ).

cnf(i_0_1451,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_1452,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_1453,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = X2
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_sup__eq__if_1,
    [final] ).

cnf(i_0_1454,axiom,
    ( v_wt(c_Option_Othe(hAPP(c_Com_Obody,X1),tc_Com_Ocom))
    | ~ c_in(X1,v_U,tc_Com_Opname) ),
    cls_assms_I4_J_0,
    [final] ).

cnf(i_0_1455,axiom,
    ( X1 = c_Suc(X2)
    | c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
    cls_le__SucE_0,
    [final] ).

cnf(i_0_1456,axiom,
    ( c_in(hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2),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_1457,axiom,
    ( c_in(hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2),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_1458,axiom,
    ( c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,X3,X2),X2) = X3
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(X3) ),
    cls_card__Suc__eq_2,
    [final] ).

cnf(i_0_1459,axiom,
    ( c_Finite__Set_Ocard(c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,X3,X2),X2) = X3
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(X3) ),
    cls_card__eq__SucD_2,
    [final] ).

cnf(i_0_1460,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_linorder__antisym__conv1_0,
    [final] ).

cnf(i_0_1461,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_linorder__antisym__conv2_0,
    [final] ).

cnf(i_0_1462,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_xt1_I11_J_0,
    [final] ).

cnf(i_0_1463,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_xt1_I12_J_0,
    [final] ).

cnf(i_0_1464,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__le__less_0,
    [final] ).

cnf(i_0_1465,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__less__le_2,
    [final] ).

cnf(i_0_1466,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__le__neq__trans_0,
    [final] ).

cnf(i_0_1467,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__neq__le__trans_0,
    [final] ).

cnf(i_0_1468,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Suc__le__mono_1,
    [final] ).

cnf(i_0_1469,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_Suc__mono_0,
    [final] ).

cnf(i_0_1470,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_less__Suc__eq__0__disj_3,
    [final] ).

cnf(i_0_1471,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    cls_not__less__less__Suc__eq_0,
    [final] ).

cnf(i_0_1472,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    cls_less__SucE_0,
    [final] ).

cnf(i_0_1473,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    cls_less__antisym_0,
    [final] ).

cnf(i_0_1474,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | c_Suc(X1) = X2
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_Suc__lessI_0,
    [final] ).

cnf(i_0_1475,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_order__le__less_1,
    [final] ).

cnf(i_0_1476,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_order__less__imp__le_0,
    [final] ).

cnf(i_0_1477,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_min__max_Osup__absorb1_0,
    [final] ).

cnf(i_0_1478,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_min__max_Ole__iff__sup_0,
    [final] ).

cnf(i_0_1479,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__inf_0,
    [final] ).

cnf(i_0_1480,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_inf__absorb2_0,
    [final] ).

cnf(i_0_1481,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_min__max_Ole__iff__inf_0,
    [final] ).

cnf(i_0_1482,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_min__max_Oinf__absorb2_0,
    [final] ).

cnf(i_0_1483,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_sup__absorb1_0,
    [final] ).

cnf(i_0_1484,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X3
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__sup_0,
    [final] ).

cnf(i_0_1485,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    cls_Suc__leD_0,
    [final] ).

cnf(i_0_1486,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    cls_less__eq__Suc__le_1,
    [final] ).

cnf(i_0_1487,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    cls_Suc__le__eq_0,
    [final] ).

cnf(i_0_1488,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
    cls_Suc__lessD_0,
    [final] ).

cnf(i_0_1489,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    cls_less__Suc__eq__le_0,
    [final] ).

cnf(i_0_1490,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) != X3 ),
    cls_min__max_Ole__iff__sup_1,
    [final] ).

cnf(i_0_1491,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
    cls_le__iff__inf_1,
    [final] ).

cnf(i_0_1492,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ 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_1493,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != X3 ),
    cls_le__iff__sup_1,
    [final] ).

cnf(i_0_1494,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_1495,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
    cls_Un__absorb_0,
    [final] ).

cnf(i_0_1496,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_1497,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    cls_card__gt__0__iff_1,
    [final] ).

cnf(i_0_1498,axiom,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_less__eq__Suc__le_0,
    [final] ).

cnf(i_0_1499,axiom,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_Suc__leI_0,
    [final] ).

cnf(i_0_1500,axiom,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_le__SucI_0,
    [final] ).

cnf(i_0_1501,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
    | ~ c_lessequals(X1,X1,tc_nat) ),
    cls_le__less__Suc__eq_1,
    [final] ).

cnf(i_0_1502,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_less__Suc__eq__le_1,
    [final] ).

cnf(i_0_1503,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_less__SucI_0,
    [final] ).

cnf(i_0_1504,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_inf__0__imp__0_0,
    [final] ).

cnf(i_0_1505,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_sup__0__imp__0_0,
    [final] ).

cnf(i_0_1506,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    cls_insert__absorb_0,
    [final] ).

cnf(i_0_1507,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | 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_1508,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X3,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_diff__eq_0,
    [final] ).

cnf(i_0_1509,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_le__neq__implies__less_0,
    [final] ).

cnf(i_0_1510,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_le__eq__less__or__eq_0,
    [final] ).

cnf(i_0_1511,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_nat__less__le_2,
    [final] ).

cnf(i_0_1512,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_diff__is__0__eq_1,
    [final] ).

cnf(i_0_1513,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_nat__less__le_0,
    [final] ).

cnf(i_0_1514,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_termination__basic__simps_I5_J_0,
    [final] ).

cnf(i_0_1515,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
    cls_top1I_0,
    [final] ).

cnf(i_0_1516,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | 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_1517,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_1518,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    cls_empty__subsetI_0,
    [final] ).

cnf(i_0_1519,axiom,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    cls_subset__UNIV_0,
    [final] ).

cnf(i_0_1520,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_1521,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_1522,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
    cls_psubset__eq_1,
    [final] ).

cnf(i_0_1523,axiom,
    hAPP(c_COMBK(X1,X2,X3),X4) = X1,
    cls_COMBK__def_0,
    [final] ).

cnf(i_0_1524,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | X3 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_linorder__neqE__ordered__idom_0,
    [final] ).

cnf(i_0_1525,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__antisym__conv3_0,
    [final] ).

cnf(i_0_1526,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__less__linear_0,
    [final] ).

cnf(i_0_1527,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__neqE_0,
    [final] ).

cnf(i_0_1528,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_not__less__iff__gr__or__eq_0,
    [final] ).

cnf(i_0_1529,axiom,
    ( X1 = X3
    | c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)) ),
    cls_Compl__eq__Compl__iff_0,
    [final] ).

cnf(i_0_1530,axiom,
    ( c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    cls_card__Suc__eq_3,
    [final] ).

cnf(i_0_1531,axiom,
    ( c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    cls_card__eq__SucD_3,
    [final] ).

cnf(i_0_1532,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_1533,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_1534,axiom,
    ( c_HOL_Oord__class_Oless(X2,X2,X1)
    | c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__antisym__conv1_1,
    [final] ).

cnf(i_0_1535,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__not__le_0,
    [final] ).

cnf(i_0_1536,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_not__leE_0,
    [final] ).

cnf(i_0_1537,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__not__less_0,
    [final] ).

cnf(i_0_1538,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    cls_mem__def_0,
    [final] ).

cnf(i_0_1539,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Compl__UNIV__eq_0,
    [final] ).

cnf(i_0_1540,axiom,
    c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Compl__empty__eq_0,
    [final] ).

cnf(i_0_1541,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_compl__inf__bot_0,
    [final] ).

cnf(i_0_1542,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_compl__sup__top_0,
    [final] ).

cnf(i_0_1543,axiom,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    cls_not__less__eq__eq_0,
    [final] ).

cnf(i_0_1544,axiom,
    ( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat) ),
    cls_not__less__less__Suc__eq_1,
    [final] ).

cnf(i_0_1545,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    cls_not__less__eq_0,
    [final] ).

cnf(i_0_1546,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__commute_0,
    [final] ).

cnf(i_0_1547,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_1548,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_1549,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_1550,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I5_J_0,
    [final] ).

cnf(i_0_1551,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__commute_0,
    [final] ).

cnf(i_0_1552,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_1553,axiom,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    cls_double__complement_0,
    [final] ).

cnf(i_0_1554,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X2 = X1 ),
    cls_linorder__neqE__nat_0,
    [final] ).

cnf(i_0_1555,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X2 = X1 ),
    cls_nat__neq__iff_0,
    [final] ).

cnf(i_0_1556,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_1557,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    cls_less__Suc0_0,
    [final] ).

cnf(i_0_1558,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    cls_nat__le__linear_0,
    [final] ).

cnf(i_0_1559,axiom,
    c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
    cls_UNIV__I_0,
    [final] ).

cnf(i_0_1560,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_1561,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1,
    [final] ).

cnf(i_0_1562,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_1563,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_1564,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_1565,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
    cls_sup__eq__bot__eq1_0,
    [final] ).

cnf(i_0_1566,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_1567,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
    cls_sup__eq__bot__eq2_0,
    [final] ).

cnf(i_0_1568,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_linorder__neq__iff_1,
    [final] ).

cnf(i_0_1569,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_order__less__le_1,
    [final] ).

cnf(i_0_1570,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_order__less__irrefl_0,
    [final] ).

cnf(i_0_1571,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    cls_neq0__conv_1,
    [final] ).

cnf(i_0_1572,axiom,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    cls_Suc__n__not__le__n_0,
    [final] ).

cnf(i_0_1573,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    cls_le__0__eq_0,
    [final] ).

cnf(i_0_1574,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_inf__compl__bot_0,
    [final] ).

cnf(i_0_1575,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_sup__compl__top_0,
    [final] ).

cnf(i_0_1576,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    cls_not__less0_0,
    [final] ).

cnf(i_0_1577,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    cls_gr__implies__not0_0,
    [final] ).

cnf(i_0_1578,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    cls_ATP__Linkup_Ofequal__imp__equal_0,
    [final] ).

cnf(i_0_1579,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_1580,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    cls_less__not__refl_0,
    [final] ).

cnf(i_0_1581,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    cls_nat__less__le_1,
    [final] ).

cnf(i_0_1582,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_group__add__class_Odiff__0_0,
    [final] ).

cnf(i_0_1583,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_equalityE_0,
    [final] ).

cnf(i_0_1584,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_subset__refl_0,
    [final] ).

cnf(i_0_1585,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_1586,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_1587,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__top__left_0,
    [final] ).

cnf(i_0_1588,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_1589,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_1590,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_1591,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__bot__left_0,
    [final] ).

cnf(i_0_1592,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_1593,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__top__right_0,
    [final] ).

cnf(i_0_1594,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_1595,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    cls_less__Suc0_1,
    [final] ).

cnf(i_0_1596,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_1597,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    cls_bot__least_0,
    [final] ).

cnf(i_0_1598,axiom,
    ( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
    | ~ class_Orderings_Otop(X1) ),
    cls_top__greatest_0,
    [final] ).

cnf(i_0_1599,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_1600,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_sup__bot__right_0,
    [final] ).

cnf(i_0_1601,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    cls_finite_OemptyI_0,
    [final] ).

cnf(i_0_1602,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_1603,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_1604,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_1605,axiom,
    c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
    cls_le__Suc__eq_2,
    [final] ).

cnf(i_0_1606,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    cls_zero__less__Suc_0,
    [final] ).

cnf(i_0_1607,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    cls_gr0__conv__Suc_1,
    [final] ).

cnf(i_0_1608,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_1609,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_1610,axiom,
    ( hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X2) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Osup__idem_0,
    [final] ).

cnf(i_0_1611,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_1612,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_1613,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__idem_0,
    [final] ).

cnf(i_0_1614,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_gr0I_0,
    [final] ).

cnf(i_0_1615,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    cls_le__0__eq_1,
    [final] ).

cnf(i_0_1616,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    cls_less__Suc__eq_2,
    [final] ).

cnf(i_0_1617,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    cls_lessI_0,
    [final] ).

cnf(i_0_1618,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_1619,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_1620,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    cls_le0_0,
    [final] ).

cnf(i_0_1621,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_1622,axiom,
    c_fequal(X1,X1,X2),
    cls_ATP__Linkup_Oequal__imp__fequal_0,
    [final] ).

cnf(i_0_1623,axiom,
    ( X2 = X3
    | ~ class_Lattices_Oboolean__algebra(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
    cls_compl__eq__compl__iff_0,
    [final] ).

cnf(i_0_1624,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
    cls_neg__equal__iff__equal_0,
    [final] ).

cnf(i_0_1625,axiom,
    c_lessequals(X1,X1,tc_nat),
    cls_eq__imp__le_0,
    [final] ).

cnf(i_0_1626,axiom,
    c_lessequals(X1,X1,tc_nat),
    cls_le__refl_0,
    [final] ).

cnf(i_0_1627,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_double__compl_0,
    [final] ).

cnf(i_0_1628,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_minus__equation__iff_1,
    [final] ).

cnf(i_0_1629,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_minus__minus_0,
    [final] ).

cnf(i_0_1630,axiom,
    ( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_equation__minus__iff_1,
    [final] ).

cnf(i_0_1631,axiom,
    ( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_equation__minus__iff_0,
    [final] ).

cnf(i_0_1632,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_1633,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Ouminus__class_Ouminus(X2,X1) ),
    cls_neg__0__equal__iff__equal_0,
    [final] ).

cnf(i_0_1634,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_neg__equal__0__iff__equal_0,
    [final] ).

cnf(i_0_1635,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    clsarity_fun__Orderings_Obot,
    [final] ).

cnf(i_0_1636,axiom,
    ( class_Orderings_Otop(tc_fun(X1,X2))
    | ~ class_Orderings_Otop(X2) ),
    clsarity_fun__Orderings_Otop,
    [final] ).

cnf(i_0_1637,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    clsarity_fun__HOL_Oord,
    [final] ).

cnf(i_0_1638,axiom,
    ( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    clsarity_fun__Lattices_Oboolean__algebra,
    [final] ).

cnf(i_0_1639,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    clsarity_fun__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1640,axiom,
    ( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Odistrib__lattice(X2) ),
    clsarity_fun__Lattices_Odistrib__lattice,
    [final] ).

cnf(i_0_1641,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olattice,
    [final] ).

cnf(i_0_1642,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1643,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    clsarity_fun__Orderings_Oorder,
    [final] ).

cnf(i_0_1644,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    clsarity_fun__Orderings_Opreorder,
    [final] ).

cnf(i_0_1645,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1646,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != X2 ),
    cls_neg__equal__zero_0,
    [final] ).

cnf(i_0_1647,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_compl__top__eq_0,
    [final] ).

cnf(i_0_1648,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    cls_compl__bot__eq_0,
    [final] ).

cnf(i_0_1649,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    cls_neg__equal__zero_1,
    [final] ).

cnf(i_0_1650,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_minus__zero_0,
    [final] ).

cnf(i_0_1651,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__class_OMin__def__raw_0,
    [final] ).

cnf(i_0_1652,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Max__def__raw_0,
    [final] ).

cnf(i_0_1653,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_neg__0__equal__iff__equal_1,
    [final] ).

cnf(i_0_1654,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_1655,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Orderings_Oord__class_Omax(X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__max_0,
    [final] ).

cnf(i_0_1656,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_1657,axiom,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    cls_finite_0,
    [final] ).

cnf(i_0_1658,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_nat_Oinject_0,
    [final] ).

cnf(i_0_1659,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Suc__inject_0,
    [final] ).

cnf(i_0_1660,negated_conjecture,
    c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
    cls_conjecture_0,
    [final] ).

cnf(i_0_1661,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_Zero__neq__Suc_0,
    [final] ).

cnf(i_0_1662,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_nat_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1663,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_Suc__neq__Zero_0,
    [final] ).

cnf(i_0_1664,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_nat_Osimps_I3_J_0,
    [final] ).

cnf(i_0_1665,axiom,
    c_Suc(X1) != X1,
    cls_Suc__n__not__n_0,
    [final] ).

cnf(i_0_1666,axiom,
    X1 != c_Suc(X1),
    cls_n__not__Suc__n_0,
    [final] ).

cnf(i_0_1667,axiom,
    class_Orderings_Obot(tc_bool),
    clsarity_bool__Orderings_Obot,
    [final] ).

cnf(i_0_1668,axiom,
    class_Orderings_Obot(tc_nat),
    clsarity_nat__Orderings_Obot,
    [final] ).

cnf(i_0_1669,negated_conjecture,
    v_wt(v_c),
    cls_conjecture_3,
    [final] ).

cnf(i_0_1670,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    clsarity_bool__Finite__Set_Ofinite_Ofinite,
    [final] ).

cnf(i_0_1671,axiom,
    class_Orderings_Otop(tc_bool),
    clsarity_bool__Orderings_Otop,
    [final] ).

cnf(i_0_1672,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    clsarity_nat__Ring__and__Field_Ocomm__semiring__1,
    [final] ).

cnf(i_0_1673,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    clsarity_nat__Ring__and__Field_Ono__zero__divisors,
    [final] ).

cnf(i_0_1674,axiom,
    class_HOL_Oord(tc_bool),
    clsarity_bool__HOL_Oord,
    [final] ).

cnf(i_0_1675,axiom,
    class_HOL_Oord(tc_nat),
    clsarity_nat__HOL_Oord,
    [final] ).

cnf(i_0_1676,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    clsarity_nat__OrderedGroup_Ocomm__monoid__add,
    [final] ).

cnf(i_0_1677,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    clsarity_bool__Lattices_Oboolean__algebra,
    [final] ).

cnf(i_0_1678,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    clsarity_bool__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1679,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    clsarity_bool__Lattices_Odistrib__lattice,
    [final] ).

cnf(i_0_1680,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    clsarity_nat__Lattices_Odistrib__lattice,
    [final] ).

cnf(i_0_1681,axiom,
    class_Lattices_Olattice(tc_bool),
    clsarity_bool__Lattices_Olattice,
    [final] ).

cnf(i_0_1682,axiom,
    class_Lattices_Olattice(tc_nat),
    clsarity_nat__Lattices_Olattice,
    [final] ).

cnf(i_0_1683,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    clsarity_bool__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1684,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    clsarity_nat__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1685,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat__Orderings_Olinorder,
    [final] ).

cnf(i_0_1686,axiom,
    class_Orderings_Oorder(tc_bool),
    clsarity_bool__Orderings_Oorder,
    [final] ).

cnf(i_0_1687,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat__Orderings_Oorder,
    [final] ).

cnf(i_0_1688,axiom,
    class_Orderings_Opreorder(tc_bool),
    clsarity_bool__Orderings_Opreorder,
    [final] ).

cnf(i_0_1689,axiom,
    class_Orderings_Opreorder(tc_nat),
    clsarity_nat__Orderings_Opreorder,
    [final] ).

cnf(i_0_1690,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    clsarity_bool__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1691,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    clsarity_nat__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1692,axiom,
    X1 = X1 ).

cnf(i_0_1693,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1694,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1695,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1696,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1697,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1698,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1699,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1700,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1701,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1702,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1703,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1704,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1705,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1706,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).

cnf(i_0_1707,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).

cnf(i_0_1708,axiom,
    ( X1 != X2
    | c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).

cnf(i_0_1709,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X1,X3,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1710,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X1,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1711,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X1,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1712,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X1,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1713,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1714,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1715,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1716,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1717,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1718,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1719,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1720,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1721,axiom,
    ( X1 != X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).

cnf(i_0_1722,axiom,
    ( X1 != X2
    | c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).

cnf(i_0_1723,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X3,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X2,X3,X4,X5) ) ).

cnf(i_0_1724,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X1,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X2,X4,X5) ) ).

cnf(i_0_1725,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X1,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X2,X5) ) ).

cnf(i_0_1726,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X2) ) ).

cnf(i_0_1727,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).

cnf(i_0_1728,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).

cnf(i_0_1729,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).

cnf(i_0_1730,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).

cnf(i_0_1731,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1732,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X1,X3,X4,X5) = c_Finite__Set_Osetprod(X2,X3,X4,X5) ) ).

cnf(i_0_1733,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X1,X4,X5) = c_Finite__Set_Osetprod(X3,X2,X4,X5) ) ).

cnf(i_0_1734,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X1,X5) = c_Finite__Set_Osetprod(X3,X4,X2,X5) ) ).

cnf(i_0_1735,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X5,X1) = c_Finite__Set_Osetprod(X3,X4,X5,X2) ) ).

cnf(i_0_1736,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1737,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X1) = c_Orderings_Oord__class_Omax(X2) ) ).

cnf(i_0_1738,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1739,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1740,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1741,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).

cnf(i_0_1742,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Olinorder__class_OMin(X2) ) ).

cnf(i_0_1743,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Olinorder__class_OMax(X2) ) ).

cnf(i_0_1744,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold1(X1,X3) = c_Finite__Set_Ofold1(X2,X3) ) ).

cnf(i_0_1745,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold1(X3,X1) = c_Finite__Set_Ofold1(X3,X2) ) ).

cnf(i_0_1746,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,X3,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X2,X3,X4) ) ).

cnf(i_0_1747,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X1,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X2,X4) ) ).

cnf(i_0_1748,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X4,X1) = c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X4,X2) ) ).

cnf(i_0_1749,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,X3,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X2,X3,X4) ) ).

cnf(i_0_1750,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X1,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X2,X4) ) ).

cnf(i_0_1751,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X4,X1) = c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X4,X2) ) ).

cnf(i_0_1752,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1753,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Lattices_Oupper__semilattice__class_Osup(X2) ) ).

cnf(i_0_1754,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).

cnf(i_0_1755,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_1756,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_1757,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_1758,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_1759,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_1760,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_1761,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1762,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_1763,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_1764,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1765,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1766,axiom,
    ( X1 != X2
    | ~ class_Lattices_Odistrib__lattice(X1)
    | class_Lattices_Odistrib__lattice(X2) ) ).

cnf(i_0_1767,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1768,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1769,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1770,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1771,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1772,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1773,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1774,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1775,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1776,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1777,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1778,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(X2) ) ).

cnf(i_0_1779,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1780,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1781,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | class_OrderedGroup_Oordered__ab__group__add(X2) ) ).

cnf(i_0_1782,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1783,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1784,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_1785,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_1786,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_1787,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_1788,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_1789,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_1790,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1791,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1792,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1793,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1794,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1795,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1796,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(X2) ) ).

cnf(i_0_1797,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1798,axiom,
    ( X1 != X2
    | ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(X2) ) ).

cnf(i_0_1799,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | c_Finite__Set_Ofinite(X2,X3) ) ).

cnf(i_0_1800,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | c_Finite__Set_Ofinite(X3,X2) ) ).

cnf(i_0_1801,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1802,axiom,
    ( X1 != X2
    | ~ v_wt(X1)
    | v_wt(X2) ) ).

cnf(i_0_1803,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1804,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1805,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1806,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1807,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1808,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1809,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1810,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_1811,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X1,X4)
    | c_HOL_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_1812,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_1692_001,axiom,
    X1 = X1 ).

cnf(i_0_1693_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1694_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1695_004,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1696_005,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1697_006,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1698_007,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1699_008,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1700_009,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1701_010,axiom,
    ( X1 != X2
    | c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1702_011,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1703_012,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1704_013,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1705_014,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1706_015,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).

cnf(i_0_1707_016,axiom,
    ( X1 != X2
    | c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).

cnf(i_0_1708_017,axiom,
    ( X1 != X2
    | c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).

cnf(i_0_1709_018,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X1,X3,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1710_019,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X1,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1711_020,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X1,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1712_021,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X1,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1713_022,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1714_023,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1715_024,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1716_025,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1717_026,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1718_027,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1719_028,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1720_029,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1721_030,axiom,
    ( X1 != X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).

cnf(i_0_1722_031,axiom,
    ( X1 != X2
    | c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).

cnf(i_0_1723_032,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X3,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X2,X3,X4,X5) ) ).

cnf(i_0_1724_033,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X1,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X2,X4,X5) ) ).

cnf(i_0_1725_034,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X1,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X2,X5) ) ).

cnf(i_0_1726_035,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X2) ) ).

cnf(i_0_1727_036,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).

cnf(i_0_1728_037,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).

cnf(i_0_1729_038,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).

cnf(i_0_1730_039,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).

cnf(i_0_1731_040,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1732_041,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X1,X3,X4,X5) = c_Finite__Set_Osetprod(X2,X3,X4,X5) ) ).

cnf(i_0_1733_042,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X1,X4,X5) = c_Finite__Set_Osetprod(X3,X2,X4,X5) ) ).

cnf(i_0_1734_043,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X1,X5) = c_Finite__Set_Osetprod(X3,X4,X2,X5) ) ).

cnf(i_0_1735_044,axiom,
    ( X1 != X2
    | c_Finite__Set_Osetprod(X3,X4,X5,X1) = c_Finite__Set_Osetprod(X3,X4,X5,X2) ) ).

cnf(i_0_1736_045,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1737_046,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omax(X1) = c_Orderings_Oord__class_Omax(X2) ) ).

cnf(i_0_1738_047,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1739_048,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1740_049,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1741_050,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).

cnf(i_0_1742_051,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMin(X1) = c_Finite__Set_Olinorder__class_OMin(X2) ) ).

cnf(i_0_1743_052,axiom,
    ( X1 != X2
    | c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Olinorder__class_OMax(X2) ) ).

cnf(i_0_1744_053,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold1(X1,X3) = c_Finite__Set_Ofold1(X2,X3) ) ).

cnf(i_0_1745_054,axiom,
    ( X1 != X2
    | c_Finite__Set_Ofold1(X3,X1) = c_Finite__Set_Ofold1(X3,X2) ) ).

cnf(i_0_1746_055,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X1,X3,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X2,X3,X4) ) ).

cnf(i_0_1747_056,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X1,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X2,X4) ) ).

cnf(i_0_1748_057,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X4,X1) = c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2(X3,X4,X2) ) ).

cnf(i_0_1749_058,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X1,X3,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X2,X3,X4) ) ).

cnf(i_0_1750_059,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X1,X4) = c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X2,X4) ) ).

cnf(i_0_1751_060,axiom,
    ( X1 != X2
    | c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X4,X1) = c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2(X3,X4,X2) ) ).

cnf(i_0_1752_061,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1753_062,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Lattices_Oupper__semilattice__class_Osup(X2) ) ).

cnf(i_0_1754_063,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).

cnf(i_0_1755_064,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_1756_065,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_1757_066,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_1758_067,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_1759_068,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_1760_069,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_1761_070,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1762_071,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring(X1)
    | class_Ring__and__Field_Oring(X2) ) ).

cnf(i_0_1763_072,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_1764_073,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1765_074,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1766_075,axiom,
    ( X1 != X2
    | ~ class_Lattices_Odistrib__lattice(X1)
    | class_Lattices_Odistrib__lattice(X2) ) ).

cnf(i_0_1767_076,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1768_077,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1769_078,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1770_079,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1771_080,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1772_081,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1773_082,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1774_083,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1775_084,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1776_085,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1777_086,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1778_087,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(X2) ) ).

cnf(i_0_1779_088,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1780_089,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1781_090,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | class_OrderedGroup_Oordered__ab__group__add(X2) ) ).

cnf(i_0_1782_091,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1783_092,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1784_093,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_1785_094,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_1786_095,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_1787_096,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_1788_097,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_1789_098,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_1790_099,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1791_100,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1792_101,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1793_102,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1794_103,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1795_104,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1796_105,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(X2) ) ).

cnf(i_0_1797_106,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1798_107,axiom,
    ( X1 != X2
    | ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(X2) ) ).

cnf(i_0_1799_108,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | c_Finite__Set_Ofinite(X2,X3) ) ).

cnf(i_0_1800_109,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | c_Finite__Set_Ofinite(X3,X2) ) ).

cnf(i_0_1801_110,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1802_111,axiom,
    ( X1 != X2
    | ~ v_wt(X1)
    | v_wt(X2) ) ).

cnf(i_0_1803_112,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1804_113,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1805_114,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1806_115,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1807_116,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1808_117,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1809_118,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1810_119,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_1811_120,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X1,X4)
    | c_HOL_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_1812_121,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_1813,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X1),X3,X4) ),
    inference(equality_inference,[],[905]) ).

cnf(i_0_1814,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    inference(equality_inference,[],[933]) ).

cnf(i_0_1815,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[988]) ).

cnf(i_0_1816,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[989]) ).

cnf(i_0_1817,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[990]) ).

cnf(i_0_1818,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[991]) ).

cnf(i_0_1819,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X2,X3)
    | X1 = X1
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    inference(equality_inference,[],[1042]) ).

cnf(i_0_1820,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
    inference(equality_inference,[],[1068]) ).

cnf(i_0_1821,plain,
    ( X1 = X1
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(equality_inference,[],[1170]) ).

cnf(i_0_1822,plain,
    X1 = X1,
    inference(equality_inference,[],[1171]) ).

cnf(i_0_1823,plain,
    ( X1 = X1
    | c_in(X2,X1,X3)
    | c_in(X2,X1,X3) ),
    inference(equality_inference,[],[1249]) ).

cnf(i_0_1824,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,[],[1271]) ).

cnf(i_0_1825,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[1407]) ).

cnf(i_0_1826,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[1408]) ).

cnf(i_0_1827,plain,
    X1 = X1,
    inference(equality_inference,[],[1529]) ).

cnf(i_0_1828,plain,
    ( X1 = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(equality_inference,[],[1623]) ).

cnf(i_0_1829,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(equality_inference,[],[1624]) ).

cnf(i_0_1830,plain,
    X1 = X1,
    inference(equality_inference,[],[1659]) ).

cnf(i_0_1831,plain,
    c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),v_U,tc_fun(tc_Com_Opname,tc_bool)),
    inference(scs_inference,[],[i_0_1057,i_0_867]) ).

cnf(i_0_1832,plain,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_867]) ).

cnf(i_0_1833,plain,
    c_lessequals(c_Set_Oimage(X1,v_G,t_a,X2),c_Set_Oimage(X1,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a,X2),tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1057,i_0_867,i_0_940]) ).

cnf(i_0_1834,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_940]) ).

cnf(i_0_1835,plain,
    c_lessequals(c_Set_Ovimage(X1,v_G,X2,t_a),c_Set_Ovimage(X1,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),X2,t_a),tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1057,i_0_867,i_0_940,i_0_941]) ).

cnf(i_0_1836,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_941]) ).

cnf(i_0_1837,plain,
    ~ c_lessequals(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_867,i_0_940,i_0_941,i_0_1387]) ).

cnf(i_0_1838,plain,
    ( hBOOL(hAPP(hAPP(v_P,X1),X2))
    | ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
    inference(rename_variables,[],[i_0_1387]) ).

cnf(i_0_1839,plain,
    ~ c_in(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_G),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538]) ).

cnf(i_0_1840,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1538]) ).

cnf(i_0_1841,plain,
    c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) = c_Finite__Set_Ocard(v_G,t_a),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693]) ).

cnf(i_0_1842,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900]) ).

cnf(i_0_1843,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1360]) ).

cnf(i_0_1844,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_900]) ).

cnf(i_0_1845,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945]) ).

cnf(i_0_1846,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(rename_variables,[],[i_0_1313]) ).

cnf(i_0_1847,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_945]) ).

cnf(i_0_1848,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1584,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996]) ).

cnf(i_0_1849,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1584]) ).

cnf(i_0_1850,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_996]) ).

cnf(i_0_1851,plain,
    c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X4),X5),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1584,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015]) ).

cnf(i_0_1852,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1445]) ).

cnf(i_0_1853,plain,
    ( ~ c_in(hAPP(X1,X2),X3,X4)
    | c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
    inference(rename_variables,[],[i_0_1015]) ).

cnf(i_0_1854,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1584,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023]) ).

cnf(i_0_1855,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_1856,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_1023]) ).

cnf(i_0_1857,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1584,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024]) ).

cnf(i_0_1858,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_1859,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_1024]) ).

cnf(i_0_1860,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1584,i_0_1330,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025]) ).

cnf(i_0_1861,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1330]) ).

cnf(i_0_1862,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1025]) ).

cnf(i_0_1863,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1584,i_0_1330,i_0_1861,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026]) ).

cnf(i_0_1864,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1330]) ).

cnf(i_0_1865,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1026]) ).

cnf(i_0_1866,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1584,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115]) ).

cnf(i_0_1867,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_1115]) ).

cnf(i_0_1868,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1584,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133]) ).

cnf(i_0_1869,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1133]) ).

cnf(i_0_1870,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_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1584,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147]) ).

cnf(i_0_1871,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_1147]) ).

cnf(i_0_1872,plain,
    c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150]) ).

cnf(i_0_1873,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_1874,plain,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_1150]) ).

cnf(i_0_1875,plain,
    ~ c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_HOL_Ouminus__class_Ouminus(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267]) ).

cnf(i_0_1876,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1665]) ).

cnf(i_0_1877,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1267]) ).

cnf(i_0_1878,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318]) ).

cnf(i_0_1879,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_1880,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_1318]) ).

cnf(i_0_1881,plain,
    ~ c_lessequals(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329]) ).

cnf(i_0_1882,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1665]) ).

cnf(i_0_1883,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1329]) ).

cnf(i_0_1884,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377]) ).

cnf(i_0_1885,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1377]) ).

cnf(i_0_1886,plain,
    c_lessequals(X1,c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485]) ).

cnf(i_0_1887,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_1888,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1485]) ).

cnf(i_0_1889,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487]) ).

cnf(i_0_1890,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_1891,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488]) ).

cnf(i_0_1892,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1488]) ).

cnf(i_0_1893,plain,
    c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489]) ).

cnf(i_0_1894,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1489]) ).

cnf(i_0_1895,plain,
    ~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1572,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500]) ).

cnf(i_0_1896,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_1897,plain,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_1898,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1572,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503]) ).

cnf(i_0_1899,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_1900,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1503]) ).

cnf(i_0_1901,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1572,i_0_1438,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514]) ).

cnf(i_0_1902,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_1903,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1572,i_0_1438,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561]) ).

cnf(i_0_1904,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_1905,plain,
    ~ c_fequal(c_Suc(X1),X1,X2),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1438,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578]) ).

cnf(i_0_1906,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1578]) ).

cnf(i_0_1907,plain,
    ~ class_Orderings_Otop(tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598]) ).

cnf(i_0_1908,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_1909,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(rename_variables,[],[i_0_1598]) ).

cnf(i_0_1910,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608]) ).

cnf(i_0_1911,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1608]) ).

cnf(i_0_1912,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657]) ).

cnf(i_0_1913,plain,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | c_Finite__Set_Ofinite(X2,X1) ),
    inference(rename_variables,[],[i_0_1657]) ).

cnf(i_0_1914,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,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_1001,i_0_1057,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852]) ).

cnf(i_0_1915,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_852]) ).

cnf(i_0_1916,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866]) ).

cnf(i_0_1917,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1584]) ).

cnf(i_0_1918,plain,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X5) ),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1919,plain,
    c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963]) ).

cnf(i_0_1920,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)))
    | 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_963]) ).

cnf(i_0_1921,plain,
    c_Finite__Set_Ofinite(v_G,t_a),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978]) ).

cnf(i_0_1922,plain,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | c_Finite__Set_Ofinite(X1,X5) ),
    inference(rename_variables,[],[i_0_978]) ).

cnf(i_0_1923,plain,
    c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000]) ).

cnf(i_0_1924,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1330]) ).

cnf(i_0_1925,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | c_Fun_Oinj__on(X4,X1,X3,X5) ),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_1926,plain,
    ~ c_in(v_mgt(v_c),v_G,t_a),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1518,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124]) ).

cnf(i_0_1927,plain,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_1518]) ).

cnf(i_0_1928,plain,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_1124]) ).

cnf(i_0_1929,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1518,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188]) ).

cnf(i_0_1930,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1522]) ).

cnf(i_0_1931,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1188]) ).

cnf(i_0_1932,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1518,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189]) ).

cnf(i_0_1933,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_1934,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1189]) ).

cnf(i_0_1935,plain,
    ~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1670,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265]) ).

cnf(i_0_1936,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1330]) ).

cnf(i_0_1937,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1265]) ).

cnf(i_0_1938,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1670,i_0_1674,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268]) ).

cnf(i_0_1939,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(rename_variables,[],[i_0_1268]) ).

cnf(i_0_1940,plain,
    ~ c_lessequals(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292]) ).

cnf(i_0_1941,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_1942,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1292]) ).

cnf(i_0_1943,plain,
    ~ c_lessequals(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294]) ).

cnf(i_0_1944,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_1945,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1294]) ).

cnf(i_0_1946,plain,
    ~ c_lessequals(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295]) ).

cnf(i_0_1947,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_1948,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1295]) ).

cnf(i_0_1949,plain,
    ~ c_lessequals(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296]) ).

cnf(i_0_1950,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_1951,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1296]) ).

cnf(i_0_1952,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1519,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310]) ).

cnf(i_0_1953,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_1954,plain,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1519]) ).

cnf(i_0_1955,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1310]) ).

cnf(i_0_1956,plain,
    ~ c_lessequals(c_Set_Oinsert(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2),hAPP(v_P,v_G),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1519,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374]) ).

cnf(i_0_1957,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(rename_variables,[],[i_0_1313]) ).

cnf(i_0_1958,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_1374]) ).

cnf(i_0_1959,plain,
    ~ c_lessequals(c_Suc(X1),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1519,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411]) ).

cnf(i_0_1960,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1411]) ).

cnf(i_0_1961,plain,
    ~ c_lessequals(c_Suc(X1),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414]) ).

cnf(i_0_1962,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1414]) ).

cnf(i_0_1963,plain,
    c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(v_U,X1,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447]) ).

cnf(i_0_1964,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1330]) ).

cnf(i_0_1965,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Finite__Set_Ofinite(X1,X3) ),
    inference(rename_variables,[],[i_0_1447]) ).

cnf(i_0_1966,plain,
    c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)) != c_Finite__Set_Ocard(v_G,t_a),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694]) ).

cnf(i_0_1967,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1665]) ).

cnf(i_0_1968,plain,
    ~ c_in(c_Set_Oinsert(v_mgt(v_c),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),hAPP(v_P,v_G),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771]) ).

cnf(i_0_1969,plain,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(rename_variables,[],[i_0_1341]) ).

cnf(i_0_1970,plain,
    ~ c_in(X1,c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),X4,X5),X2),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772]) ).

cnf(i_0_1971,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_1972,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_bool)),c_Finite__Set_Ocard(v_G,t_a)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773]) ).

cnf(i_0_1973,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1424]) ).

cnf(i_0_1974,plain,
    ~ c_fequal(c_Fun_Ofun__upd(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),X1,hAPP(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),X1),X2,X3),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793]) ).

cnf(i_0_1975,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_1976,plain,
    ~ c_fequal(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),c_Finite__Set_Ocard(v_G,t_a),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794]) ).

cnf(i_0_1977,plain,
    tc_bool != tc_nat,
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1183,i_0_1313,i_0_1846,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798]) ).

cnf(i_0_1978,plain,
    hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801]) ).

cnf(i_0_1979,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807]) ).

cnf(i_0_1980,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_1981,plain,
    ~ c_lessequals(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808]) ).

cnf(i_0_1982,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_1983,plain,
    ~ c_lessequals(c_Suc(X1),X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809]) ).

cnf(i_0_1984,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_1985,plain,
    ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(v_G,t_a),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810]) ).

cnf(i_0_1986,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_1987,plain,
    ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811]) ).

cnf(i_0_1988,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_1989,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1445,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812]) ).

cnf(i_0_1990,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_1991,plain,
    c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930]) ).

cnf(i_0_1992,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_1993,plain,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_930]) ).

cnf(i_0_1994,plain,
    c_in(hAPP(X1,X2),c_Set_Oinsert(X3,c_Set_Oimage(X1,c_Set_Oinsert(X2,X4,X5),X5,X6),X6),X6),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962]) ).

cnf(i_0_1995,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_1996,plain,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | c_in(hAPP(X1,X6),X5,X4)
    | ~ c_in(X6,X2,X3) ),
    inference(rename_variables,[],[i_0_962]) ).

cnf(i_0_1997,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089]) ).

cnf(i_0_1998,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1522]) ).

cnf(i_0_1999,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_1089]) ).

cnf(i_0_2000,plain,
    ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095]) ).

cnf(i_0_2001,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_1183]) ).

cnf(i_0_2002,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ c_in(X4,X3,X1)
    | ~ c_in(X4,X2,X1) ),
    inference(rename_variables,[],[i_0_1095]) ).

cnf(i_0_2003,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172]) ).

cnf(i_0_2004,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    inference(rename_variables,[],[i_0_1617]) ).

cnf(i_0_2005,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1172]) ).

cnf(i_0_2006,plain,
    c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207]) ).

cnf(i_0_2007,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1666]) ).

cnf(i_0_2008,plain,
    ( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | c_in(X1,X3,X4)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1207]) ).

cnf(i_0_2009,plain,
    c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210]) ).

cnf(i_0_2010,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2011,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_lessequals(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1210]) ).

cnf(i_0_2012,plain,
    c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212]) ).

cnf(i_0_2013,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2014,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1212]) ).

cnf(i_0_2015,plain,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214]) ).

cnf(i_0_2016,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2017,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_lessequals(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1214]) ).

cnf(i_0_2018,plain,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X2),X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216]) ).

cnf(i_0_2019,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2020,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1216]) ).

cnf(i_0_2021,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217]) ).

cnf(i_0_2022,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    inference(rename_variables,[],[i_0_1617]) ).

cnf(i_0_2023,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1217]) ).

cnf(i_0_2024,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218]) ).

cnf(i_0_2025,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    inference(rename_variables,[],[i_0_1617]) ).

cnf(i_0_2026,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1218]) ).

cnf(i_0_2027,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220]) ).

cnf(i_0_2028,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2029,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2)
    | c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1220]) ).

cnf(i_0_2030,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222]) ).

cnf(i_0_2031,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2032,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2)
    | c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1222]) ).

cnf(i_0_2033,plain,
    c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224]) ).

cnf(i_0_2034,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2035,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1224]) ).

cnf(i_0_2036,plain,
    c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226]) ).

cnf(i_0_2037,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2038,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1226]) ).

cnf(i_0_2039,plain,
    ~ class_OrderedGroup_Opordered__ab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270]) ).

cnf(i_0_2040,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2041,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1270]) ).

cnf(i_0_2042,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285]) ).

cnf(i_0_2043,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2044,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1285]) ).

cnf(i_0_2045,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X2),X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286]) ).

cnf(i_0_2046,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2047,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1286]) ).

cnf(i_0_2048,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288]) ).

cnf(i_0_2049,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2050,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1288]) ).

cnf(i_0_2051,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290]) ).

cnf(i_0_2052,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2053,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1290]) ).

cnf(i_0_2054,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298]) ).

cnf(i_0_2055,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2056,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1298]) ).

cnf(i_0_2057,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300]) ).

cnf(i_0_2058,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2059,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1300]) ).

cnf(i_0_2060,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301]) ).

cnf(i_0_2061,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2062,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1301]) ).

cnf(i_0_2063,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302]) ).

cnf(i_0_2064,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2065,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1302]) ).

cnf(i_0_2066,plain,
    ~ c_lessequals(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340]) ).

cnf(i_0_2067,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_1340]) ).

cnf(i_0_2068,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_HOL_Ouminus__class_Ouminus(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351]) ).

cnf(i_0_2069,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(rename_variables,[],[i_0_1351]) ).

cnf(i_0_2070,plain,
    ~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407]) ).

cnf(i_0_2071,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_992]) ).

cnf(i_0_2072,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    inference(rename_variables,[],[i_0_1520]) ).

cnf(i_0_2073,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_1407]) ).

cnf(i_0_2074,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412]) ).

cnf(i_0_2075,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1412]) ).

cnf(i_0_2076,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),c_Suc(c_Suc(X1)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413]) ).

cnf(i_0_2077,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1413]) ).

cnf(i_0_2078,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416]) ).

cnf(i_0_2079,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1416]) ).

cnf(i_0_2080,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421]) ).

cnf(i_0_2081,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1448]) ).

cnf(i_0_2082,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2083,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat)
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1421]) ).

cnf(i_0_2084,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473]) ).

cnf(i_0_2085,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2086,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1473]) ).

cnf(i_0_2087,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511]) ).

cnf(i_0_2088,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2089,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1511]) ).

cnf(i_0_2090,plain,
    c_lessequals(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533]) ).

cnf(i_0_2091,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1533]) ).

cnf(i_0_2092,plain,
    c_lessequals(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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537]) ).

cnf(i_0_2093,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_2094,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555]) ).

cnf(i_0_2095,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2096,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1555]) ).

cnf(i_0_2097,plain,
    ~ class_OrderedGroup_Oab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1618,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562]) ).

cnf(i_0_2098,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_1618]) ).

cnf(i_0_2099,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1666]) ).

cnf(i_0_2100,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_1562]) ).

cnf(i_0_2101,plain,
    ~ class_OrderedGroup_Ogroup__add(tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563]) ).

cnf(i_0_2102,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_1618]) ).

cnf(i_0_2103,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1666]) ).

cnf(i_0_2104,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_1563]) ).

cnf(i_0_2105,plain,
    ~ 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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879]) ).

cnf(i_0_2106,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1424]) ).

cnf(i_0_2107,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1584]) ).

cnf(i_0_2108,plain,
    ( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
    | ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
    | ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_879]) ).

cnf(i_0_2109,plain,
    ~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191]) ).

cnf(i_0_2110,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_992]) ).

cnf(i_0_2111,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1584]) ).

cnf(i_0_2112,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X5,X4,X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1191]) ).

cnf(i_0_2113,plain,
    c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240]) ).

cnf(i_0_2114,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_2115,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(rename_variables,[],[i_0_1240]) ).

cnf(i_0_2116,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404]) ).

cnf(i_0_2117,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2118,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(rename_variables,[],[i_0_1404]) ).

cnf(i_0_2119,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960]) ).

cnf(i_0_2120,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1368]) ).

cnf(i_0_2121,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1424]) ).

cnf(i_0_2122,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1445]) ).

cnf(i_0_2123,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | c_in(X2,X4,X3)
    | ~ c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_960]) ).

cnf(i_0_2124,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362]) ).

cnf(i_0_2125,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1572]) ).

cnf(i_0_2126,plain,
    c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1559]) ).

cnf(i_0_2127,plain,
    ( c_lessequals(X1,hAPP(c_Finite__Set_Olinorder__class_OMax(X2),X3),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,X3,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1362]) ).

cnf(i_0_2128,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528]) ).

cnf(i_0_2129,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2130,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1528]) ).

cnf(i_0_2131,plain,
    c_Set_Oinsert(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2) != hAPP(v_P,v_G),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695]) ).

cnf(i_0_2132,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850]) ).

cnf(i_0_2133,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6) ),
    inference(rename_variables,[],[i_0_850]) ).

cnf(i_0_2134,plain,
    ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418]) ).

cnf(i_0_2135,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1418]) ).

cnf(i_0_2136,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))))),c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419]) ).

cnf(i_0_2137,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1419]) ).

cnf(i_0_2138,plain,
    c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449]) ).

cnf(i_0_2139,plain,
    ( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1449]) ).

cnf(i_0_2140,plain,
    c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450]) ).

cnf(i_0_2141,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1450]) ).

cnf(i_0_2142,plain,
    ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468]) ).

cnf(i_0_2143,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_2144,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)))))),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470]) ).

cnf(i_0_2145,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1470]) ).

cnf(i_0_2146,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))))),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499]) ).

cnf(i_0_2147,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_2148,plain,
    ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502]) ).

cnf(i_0_2149,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1502]) ).

cnf(i_0_2150,plain,
    c_lessequals(c_Finite__Set_Ocard(v_G,t_a),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543]) ).

cnf(i_0_2151,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1543]) ).

cnf(i_0_2152,plain,
    c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545]) ).

cnf(i_0_2153,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1545]) ).

cnf(i_0_2154,plain,
    c_lessequals(c_Suc(X1),c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558]) ).

cnf(i_0_2155,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1558]) ).

cnf(i_0_2156,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573]) ).

cnf(i_0_2157,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1573]) ).

cnf(i_0_2158,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614]) ).

cnf(i_0_2159,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2160,plain,
    ~ c_lessequals(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(hAPP(X1,X2))),X1,tc_fun(X3,tc_nat)),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317]) ).

cnf(i_0_2161,plain,
    ( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
    | ~ c_lessequals(X1,X3,tc_fun(X5,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(rename_variables,[],[i_0_1317]) ).

cnf(i_0_2162,plain,
    ( c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G
    | ~ c_lessequals(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,tc_fun(t_a,tc_bool)) ),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372]) ).

cnf(i_0_2163,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1372]) ).

cnf(i_0_2164,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786]) ).

cnf(i_0_2165,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_2166,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788]) ).

cnf(i_0_2167,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_2168,plain,
    ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat,tc_bool),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_992,i_0_2071,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938]) ).

cnf(i_0_2169,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_938]) ).

cnf(i_0_2170,plain,
    ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335]) ).

cnf(i_0_2171,plain,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    inference(rename_variables,[],[i_0_1601]) ).

cnf(i_0_2172,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool)),X1)
    | ~ c_Finite__Set_Ofinite(X2,X1) ),
    inference(rename_variables,[],[i_0_1335]) ).

cnf(i_0_2173,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799]) ).

cnf(i_0_2174,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_2175,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_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800]) ).

cnf(i_0_2176,plain,
    c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
    inference(rename_variables,[],[i_0_936]) ).

cnf(i_0_2177,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369]) ).

cnf(i_0_2178,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2179,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1369]) ).

cnf(i_0_2180,plain,
    c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_2037,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369,i_0_1136]) ).

cnf(i_0_2181,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2182,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_lessequals(X1,X4,X2)
    | c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1136]) ).

cnf(i_0_2183,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_2064,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_2037,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369,i_0_1136,i_0_1162]) ).

cnf(i_0_2184,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1581]) ).

cnf(i_0_2185,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1162]) ).

cnf(i_0_2186,plain,
    ( class_Orderings_Olinorder(X1)
    | tc_nat != X1 ),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_2064,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_2037,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369,i_0_1136,i_0_1162,i_0_1764]) ).

cnf(i_0_2187,plain,
    ( class_Lattices_Olattice(X1)
    | tc_bool != X1 ),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_2064,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_2037,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1681,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369,i_0_1136,i_0_1162,i_0_1764,i_0_1765]) ).

cnf(i_0_2188,plain,
    ( class_Lattices_Odistrib__lattice(X1)
    | tc_bool != X1 ),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_2064,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_2037,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1679,i_0_1681,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369,i_0_1136,i_0_1162,i_0_1764,i_0_1765,i_0_1766]) ).

cnf(i_0_2189,plain,
    ( class_Lattices_Olower__semilattice(X1)
    | tc_bool != X1 ),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_2064,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_2037,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1679,i_0_1681,i_0_1683,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369,i_0_1136,i_0_1162,i_0_1764,i_0_1765,i_0_1766,i_0_1768]) ).

cnf(i_0_2190,plain,
    ( class_Lattices_Oupper__semilattice(X1)
    | tc_bool != X1 ),
    inference(scs_inference,[],[i_0_1001,i_0_1057,i_0_1660,i_0_1669,i_0_1075,i_0_1581,i_0_1879,i_0_1899,i_0_1986,i_0_1988,i_0_2043,i_0_2046,i_0_2049,i_0_2052,i_0_2055,i_0_2058,i_0_2061,i_0_2064,i_0_1626,i_0_1887,i_0_2010,i_0_2013,i_0_2016,i_0_2019,i_0_2028,i_0_2031,i_0_2034,i_0_2037,i_0_1445,i_0_1852,i_0_1394,i_0_1855,i_0_1858,i_0_1873,i_0_1933,i_0_1953,i_0_1992,i_0_1995,i_0_1522,i_0_1930,i_0_1584,i_0_1849,i_0_1917,i_0_2107,i_0_1665,i_0_1876,i_0_1882,i_0_1666,i_0_2007,i_0_2099,i_0_1235,i_0_1572,i_0_1896,i_0_1908,i_0_1941,i_0_1944,i_0_1947,i_0_1950,i_0_1982,i_0_1617,i_0_2004,i_0_2022,i_0_2025,i_0_1424,i_0_1973,i_0_2106,i_0_1559,i_0_1438,i_0_1448,i_0_1330,i_0_1861,i_0_1864,i_0_1924,i_0_1936,i_0_1368,i_0_1518,i_0_1519,i_0_1577,i_0_2040,i_0_2085,i_0_2088,i_0_2095,i_0_1607,i_0_1620,i_0_2082,i_0_2117,i_0_1670,i_0_1671,i_0_1674,i_0_1675,i_0_1679,i_0_1681,i_0_1683,i_0_1684,i_0_1685,i_0_1686,i_0_1687,i_0_1689,i_0_1690,i_0_1691,i_0_1341,i_0_936,i_0_1971,i_0_1975,i_0_1980,i_0_1984,i_0_1990,i_0_2165,i_0_2167,i_0_2174,i_0_992,i_0_2071,i_0_1601,i_0_1520,i_0_1618,i_0_2098,i_0_1243,i_0_1183,i_0_1313,i_0_1846,i_0_1957,i_0_1360,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_1693,i_0_900,i_0_945,i_0_996,i_0_1015,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1115,i_0_1133,i_0_1147,i_0_1150,i_0_1267,i_0_1318,i_0_1329,i_0_1377,i_0_1485,i_0_1487,i_0_1488,i_0_1489,i_0_1500,i_0_1503,i_0_1514,i_0_1561,i_0_1578,i_0_1598,i_0_1608,i_0_1657,i_0_852,i_0_866,i_0_963,i_0_978,i_0_1000,i_0_1124,i_0_1188,i_0_1189,i_0_1265,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1310,i_0_1374,i_0_1411,i_0_1414,i_0_1447,i_0_1694,i_0_1771,i_0_1772,i_0_1773,i_0_1793,i_0_1794,i_0_1798,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1811,i_0_1812,i_0_930,i_0_962,i_0_1089,i_0_1095,i_0_1172,i_0_1207,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1218,i_0_1220,i_0_1222,i_0_1224,i_0_1226,i_0_1270,i_0_1285,i_0_1286,i_0_1288,i_0_1290,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1340,i_0_1351,i_0_1407,i_0_1412,i_0_1413,i_0_1416,i_0_1421,i_0_1473,i_0_1511,i_0_1533,i_0_1537,i_0_1555,i_0_1562,i_0_1563,i_0_879,i_0_1191,i_0_1240,i_0_1404,i_0_960,i_0_1362,i_0_1528,i_0_1695,i_0_850,i_0_1418,i_0_1419,i_0_1449,i_0_1450,i_0_1468,i_0_1470,i_0_1499,i_0_1502,i_0_1543,i_0_1545,i_0_1558,i_0_1573,i_0_1614,i_0_1317,i_0_1372,i_0_1786,i_0_1788,i_0_938,i_0_1335,i_0_1799,i_0_1800,i_0_1369,i_0_1136,i_0_1162,i_0_1764,i_0_1765,i_0_1766,i_0_1768,i_0_1769]) ).

cnf(i_0_2191,plain,
    class_Orderings_Olinorder(tc_nat),
    inference(equality_inference,[],[2186]) ).

cnf(i_0_2192,plain,
    class_Lattices_Olattice(tc_bool),
    inference(equality_inference,[],[2187]) ).

cnf(i_0_2193,plain,
    class_Lattices_Odistrib__lattice(tc_bool),
    inference(equality_inference,[],[2188]) ).

cnf(i_0_2194,plain,
    class_Lattices_Olower__semilattice(tc_bool),
    inference(equality_inference,[],[2189]) ).

cnf(i_0_2195,plain,
    class_Lattices_Oupper__semilattice(tc_bool),
    inference(equality_inference,[],[2190]) ).

cnf(i_0_2196,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1866,i_0_1104]) ).

cnf(i_0_2197,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1866]) ).

cnf(i_0_2198,plain,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1104]) ).

cnf(i_0_2199,plain,
    c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Set_Oimage(X2,X1,X3,X4),c_Set_Oimage(X5,c_Set_Oimage(X2,X1,X3,X4),X4,tc_bool),X5,X4,tc_bool),X2,X3,X4),X1,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1916,i_0_1866,i_0_1104,i_0_867]) ).

cnf(i_0_2200,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2201,plain,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_867]) ).

cnf(i_0_2202,plain,
    c_lessequals(c_Set_Oimage(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X2,X3,X4),X4),X4,X5),c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),tc_fun(X5,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_1866,i_0_1104,i_0_867,i_0_940]) ).

cnf(i_0_2203,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_940]) ).

cnf(i_0_2204,plain,
    c_lessequals(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X2,X3,X4),X4),X5,X4),c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4),tc_fun(X5,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_1866,i_0_1104,i_0_867,i_0_940,i_0_941]) ).

cnf(i_0_2205,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_941]) ).

cnf(i_0_2206,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_1914,i_0_1866,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387]) ).

cnf(i_0_2207,plain,
    ( hBOOL(hAPP(hAPP(v_P,X1),X2))
    | ~ c_lessequals(X2,X1,tc_fun(t_a,tc_bool)) ),
    inference(rename_variables,[],[i_0_1387]) ).

cnf(i_0_2208,plain,
    ~ c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),hAPP(v_P,v_G),X1),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_1914,i_0_1866,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538]) ).

cnf(i_0_2209,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1538]) ).

cnf(i_0_2210,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,hAPP(X1,X3)),X4,X5),X6,X7),X8,X9),X3)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_1914,i_0_1845,i_0_1866,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945]) ).

cnf(i_0_2211,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
    inference(rename_variables,[],[i_0_1845]) ).

cnf(i_0_2212,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_945]) ).

cnf(i_0_2213,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),c_Set_Oimage(X4,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1,tc_bool),X4,X1,tc_bool),X2,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1845,i_0_1866,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996]) ).

cnf(i_0_2214,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2215,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_996]) ).

cnf(i_0_2216,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1845,i_0_1866,i_0_2197,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023]) ).

cnf(i_0_2217,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1866]) ).

cnf(i_0_2218,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_1023]) ).

cnf(i_0_2219,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1845,i_0_1866,i_0_2197,i_0_2217,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024]) ).

cnf(i_0_2220,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1866]) ).

cnf(i_0_2221,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_1024]) ).

cnf(i_0_2222,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X2,X3),X4),hAPP(v_P,v_G),tc_fun(X4,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1845,i_0_1866,i_0_2197,i_0_2217,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133]) ).

cnf(i_0_2223,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1133]) ).

cnf(i_0_2224,plain,
    c_in(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X4),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1845,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150]) ).

cnf(i_0_2225,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1866]) ).

cnf(i_0_2226,plain,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_1150]) ).

cnf(i_0_2227,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1521,i_0_1845,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267]) ).

cnf(i_0_2228,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1267]) ).

cnf(i_0_2229,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1521,i_0_1845,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329]) ).

cnf(i_0_2230,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1329]) ).

cnf(i_0_2231,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(c_Suc(X1)),X2,hAPP(c_Suc(c_Suc(X1)),X2),X3,X4),X1,tc_nat),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_1845,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500]) ).

cnf(i_0_2232,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
    inference(rename_variables,[],[i_0_1979]) ).

cnf(i_0_2233,plain,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1500]) ).

cnf(i_0_2234,plain,
    c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X6),X7),
    inference(scs_inference,[],[i_0_2113,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_1845,i_0_2211,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561]) ).

cnf(i_0_2235,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_2236,plain,
    ~ c_fequal(hAPP(c_Set_Oinsert(X1,X2,X3),X1),hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),X4),
    inference(scs_inference,[],[i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_1845,i_0_2211,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578]) ).

cnf(i_0_2237,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1578]) ).

cnf(i_0_2238,plain,
    ~ class_Orderings_Otop(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3)),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_1845,i_0_2211,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598]) ).

cnf(i_0_2239,plain,
    ~ c_lessequals(c_Suc(X1),X1,c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
    inference(rename_variables,[],[i_0_1983]) ).

cnf(i_0_2240,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(rename_variables,[],[i_0_1598]) ).

cnf(i_0_2241,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6,X7),X8)),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900]) ).

cnf(i_0_2242,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
    inference(rename_variables,[],[i_0_1842]) ).

cnf(i_0_2243,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_900]) ).

cnf(i_0_2244,plain,
    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_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015]) ).

cnf(i_0_2245,plain,
    ( ~ c_in(hAPP(X1,X2),X3,X4)
    | c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
    inference(rename_variables,[],[i_0_1015]) ).

cnf(i_0_2246,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),c_Set_Oimage(X4,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1,tc_bool),X4,X1,tc_bool),X2,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025]) ).

cnf(i_0_2247,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2248,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1025]) ).

cnf(i_0_2249,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),c_Set_Oimage(X4,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1,tc_bool),X4,X1,tc_bool),X3,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026]) ).

cnf(i_0_2250,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2251,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1026]) ).

cnf(i_0_2252,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115]) ).

cnf(i_0_2253,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_1115]) ).

cnf(i_0_2254,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147]) ).

cnf(i_0_2255,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_1147]) ).

cnf(i_0_2256,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),X1,X2),hAPP(v_P,v_G),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377]) ).

cnf(i_0_2257,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1377]) ).

cnf(i_0_2258,plain,
    c_lessequals(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1893,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485]) ).

cnf(i_0_2259,plain,
    c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1893]) ).

cnf(i_0_2260,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1485]) ).

cnf(i_0_2261,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(c_Suc(X1)))),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1893,i_0_1891,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488]) ).

cnf(i_0_2262,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
    inference(rename_variables,[],[i_0_1891]) ).

cnf(i_0_2263,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1488]) ).

cnf(i_0_2264,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(X1)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_1893,i_0_1891,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503]) ).

cnf(i_0_2265,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1898]) ).

cnf(i_0_2266,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1503]) ).

cnf(i_0_2267,plain,
    c_lessequals(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_1893,i_0_1891,i_0_2024,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514]) ).

cnf(i_0_2268,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1514]) ).

cnf(i_0_2269,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_1893,i_0_1891,i_0_2024,i_0_2042,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318]) ).

cnf(i_0_2270,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_2271,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_1318]) ).

cnf(i_0_2272,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1))),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487]) ).

cnf(i_0_2273,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1487]) ).

cnf(i_0_2274,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)),X3,tc_nat,X4),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850]) ).

cnf(i_0_2275,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6) ),
    inference(rename_variables,[],[i_0_850]) ).

cnf(i_0_2276,plain,
    c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(X1)),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449]) ).

cnf(i_0_2277,plain,
    ( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1449]) ).

cnf(i_0_2278,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470]) ).

cnf(i_0_2279,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1470]) ).

cnf(i_0_2280,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489]) ).

cnf(i_0_2281,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1489]) ).

cnf(i_0_2282,plain,
    c_lessequals(X1,c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558]) ).

cnf(i_0_2283,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1558]) ).

cnf(i_0_2284,plain,
    ~ c_lessequals(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2))),X2,tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418]) ).

cnf(i_0_2285,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1418]) ).

cnf(i_0_2286,plain,
    ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468]) ).

cnf(i_0_2287,plain,
    ~ c_lessequals(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X2,tc_nat),
    inference(rename_variables,[],[i_0_1949]) ).

cnf(i_0_2288,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1468]) ).

cnf(i_0_2289,plain,
    ~ c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502]) ).

cnf(i_0_2290,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1502]) ).

cnf(i_0_2291,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419]) ).

cnf(i_0_2292,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1419]) ).

cnf(i_0_2293,plain,
    c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),c_Suc(c_Suc(X1))),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450]) ).

cnf(i_0_2294,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1450]) ).

cnf(i_0_2295,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(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_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614]) ).

cnf(i_0_2296,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(rename_variables,[],[i_0_1614]) ).

cnf(i_0_2297,plain,
    c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(X1)),X2),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545]) ).

cnf(i_0_2298,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2),X1,tc_nat),
    inference(rename_variables,[],[i_0_2060]) ).

cnf(i_0_2299,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1545]) ).

cnf(i_0_2300,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(c_Suc(X2))),c_Suc(X2),tc_nat),
    inference(scs_inference,[],[i_0_1983,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499]) ).

cnf(i_0_2301,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1499]) ).

cnf(i_0_2302,plain,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),
    inference(scs_inference,[],[i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693]) ).

cnf(i_0_2303,plain,
    ~ c_lessequals(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_G,c_Set_Oimage(X1,v_G,t_a,tc_bool),X1,t_a,tc_bool),tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187]) ).

cnf(i_0_2304,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2305,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1187]) ).

cnf(i_0_2306,plain,
    ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat,tc_bool),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804]) ).

cnf(i_0_2307,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(rename_variables,[],[i_0_1952]) ).

cnf(i_0_2308,plain,
    ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_HOL_Ominus__class_Ominus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_bool),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_1619,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805]) ).

cnf(i_0_2309,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2310,plain,
    ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat,c_HOL_Ominus__class_Ominus(tc_bool,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806]) ).

cnf(i_0_2311,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2312,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(X1))))),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334]) ).

cnf(i_0_2313,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1889]) ).

cnf(i_0_2314,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_2315,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,tc_bool),tc_bool),tc_nat),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_1912,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516]) ).

cnf(i_0_2316,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1521]) ).

cnf(i_0_2317,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_1912]) ).

cnf(i_0_2318,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(rename_variables,[],[i_0_1516]) ).

cnf(i_0_2319,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_1837,i_0_1983,i_0_1952,i_0_2113,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585]) ).

cnf(i_0_2320,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1521]) ).

cnf(i_0_2321,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_1912]) ).

cnf(i_0_2322,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_1585]) ).

cnf(i_0_2323,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname),tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2042,i_0_2060,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125]) ).

cnf(i_0_2324,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1938]) ).

cnf(i_0_2325,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_in(X2,X3,X4) ),
    inference(rename_variables,[],[i_0_1125]) ).

cnf(i_0_2326,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)) = c_Suc(X1),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2142,i_0_2042,i_0_2060,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455]) ).

cnf(i_0_2327,plain,
    c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)),c_Suc(X1),tc_nat),
    inference(rename_variables,[],[i_0_2180]) ).

cnf(i_0_2328,plain,
    ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
    inference(rename_variables,[],[i_0_2142]) ).

cnf(i_0_2329,plain,
    ( ~ c_lessequals(X1,c_Suc(X2),tc_nat)
    | X1 = c_Suc(X2)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1455]) ).

cnf(i_0_2330,plain,
    c_Suc(X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474]) ).

cnf(i_0_2331,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1),tc_nat),
    inference(rename_variables,[],[i_0_2183]) ).

cnf(i_0_2332,plain,
    c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),tc_nat),
    inference(rename_variables,[],[i_0_2140]) ).

cnf(i_0_2333,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | c_Suc(X1) = X2
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1474]) ).

cnf(i_0_2334,plain,
    c_Suc(X1) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X1)),
    inference(scs_inference,[],[i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417]) ).

cnf(i_0_2335,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1)),tc_nat),
    inference(rename_variables,[],[i_0_2024]) ).

cnf(i_0_2336,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1417]) ).

cnf(i_0_2337,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),v_U,tc_fun(tc_Com_Opname,tc_bool)),
    inference(scs_inference,[],[i_0_1057,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866]) ).

cnf(i_0_2338,plain,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X5) ),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2339,plain,
    c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),c_Set_Oimage(X3,c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),X2,tc_bool),X3,X2,tc_bool),X2),
    inference(scs_inference,[],[i_0_1660,i_0_1057,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978]) ).

cnf(i_0_2340,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2341,plain,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | c_Finite__Set_Ofinite(X1,X5) ),
    inference(rename_variables,[],[i_0_978]) ).

cnf(i_0_2342,plain,
    ~ c_in(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),v_G,t_a),
    inference(scs_inference,[],[i_0_1660,i_0_1057,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1518,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124]) ).

cnf(i_0_2343,plain,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_1518]) ).

cnf(i_0_2344,plain,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_1124]) ).

cnf(i_0_2345,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_G,c_Set_Oimage(X1,v_G,t_a,tc_bool),X1,t_a,tc_bool),tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1518,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188]) ).

cnf(i_0_2346,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2347,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1188]) ).

cnf(i_0_2348,plain,
    c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(scs_inference,[],[i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310]) ).

cnf(i_0_2349,plain,
    c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_2113]) ).

cnf(i_0_2350,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1394]) ).

cnf(i_0_2351,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1310]) ).

cnf(i_0_2352,plain,
    ~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(hAPP(X1,X2))),X1,tc_fun(X3,tc_nat)),
    inference(scs_inference,[],[i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317]) ).

cnf(i_0_2353,plain,
    ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
    inference(rename_variables,[],[i_0_2148]) ).

cnf(i_0_2354,plain,
    ( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
    | ~ c_lessequals(X1,X3,tc_fun(X5,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(rename_variables,[],[i_0_1317]) ).

cnf(i_0_2355,plain,
    ~ c_lessequals(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),X2,X3),X4,X5),hAPP(v_P,v_G),tc_fun(X6,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374]) ).

cnf(i_0_2356,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
    inference(rename_variables,[],[i_0_1845]) ).

cnf(i_0_2357,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_1374]) ).

cnf(i_0_2358,plain,
    c_lessequals(v_U,c_Set_Oinsert(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_sko__local__Xassms__3__1(v_G,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_fun(tc_Com_Opname,tc_bool)),tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930]) ).

cnf(i_0_2359,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1866]) ).

cnf(i_0_2360,plain,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_930]) ).

cnf(i_0_2361,plain,
    c_in(hAPP(X1,v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call)),c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,c_Set_Oimage(X1,v_U,tc_Com_Opname,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962]) ).

cnf(i_0_2362,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1866]) ).

cnf(i_0_2363,plain,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | c_in(hAPP(X1,X6),X5,X4)
    | ~ c_in(X6,X2,X3) ),
    inference(rename_variables,[],[i_0_962]) ).

cnf(i_0_2364,plain,
    c_lessequals(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_2259,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210]) ).

cnf(i_0_2365,plain,
    c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1893]) ).

cnf(i_0_2366,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_lessequals(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1210]) ).

cnf(i_0_2367,plain,
    c_lessequals(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212]) ).

cnf(i_0_2368,plain,
    c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1893]) ).

cnf(i_0_2369,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1212]) ).

cnf(i_0_2370,plain,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),X2),tc_bool),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1690,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214]) ).

cnf(i_0_2371,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1910]) ).

cnf(i_0_2372,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_lessequals(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1214]) ).

cnf(i_0_2373,plain,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X2),X1),tc_bool),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_1898,i_0_2078,i_0_1889,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1690,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216]) ).

cnf(i_0_2374,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1910]) ).

cnf(i_0_2375,plain,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1216]) ).

cnf(i_0_2376,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_1898,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1690,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217]) ).

cnf(i_0_2377,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1889]) ).

cnf(i_0_2378,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1217]) ).

cnf(i_0_2379,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_1898,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220]) ).

cnf(i_0_2380,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1910]) ).

cnf(i_0_2381,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2)
    | c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1220]) ).

cnf(i_0_2382,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X2,tc_bool),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222]) ).

cnf(i_0_2383,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1910]) ).

cnf(i_0_2384,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2)
    | c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1222]) ).

cnf(i_0_2385,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2042,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224]) ).

cnf(i_0_2386,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X1,tc_nat),
    inference(rename_variables,[],[i_0_2027]) ).

cnf(i_0_2387,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1224]) ).

cnf(i_0_2388,plain,
    ~ c_HOL_Oord__class_Oless(X1,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),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2042,i_0_2270,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285]) ).

cnf(i_0_2389,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_2390,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1285]) ).

cnf(i_0_2391,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X2),X1)),X3),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2042,i_0_2270,i_0_2389,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286]) ).

cnf(i_0_2392,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_2393,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1286]) ).

cnf(i_0_2394,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2042,i_0_2270,i_0_2389,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298]) ).

cnf(i_0_2395,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1898]) ).

cnf(i_0_2396,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1298]) ).

cnf(i_0_2397,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2042,i_0_2270,i_0_2389,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300]) ).

cnf(i_0_2398,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1898]) ).

cnf(i_0_2399,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1300]) ).

cnf(i_0_2400,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2042,i_0_2270,i_0_2389,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301]) ).

cnf(i_0_2401,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1898]) ).

cnf(i_0_2402,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1301]) ).

cnf(i_0_2403,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2042,i_0_2270,i_0_2389,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302]) ).

cnf(i_0_2404,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1898]) ).

cnf(i_0_2405,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1302]) ).

cnf(i_0_2406,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_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421]) ).

cnf(i_0_2407,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X2,tc_nat),
    inference(rename_variables,[],[i_0_2030]) ).

cnf(i_0_2408,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2409,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat)
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1421]) ).

cnf(i_0_2410,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_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555]) ).

cnf(i_0_2411,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2048]) ).

cnf(i_0_2412,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2413,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1555]) ).

cnf(i_0_2414,plain,
    c_Fun_Oinj__on(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),c_Set_Oimage(X4,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,tc_bool),X4,X2,tc_bool),X2,X5),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000]) ).

cnf(i_0_2415,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2416,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | c_Fun_Oinj__on(X4,X1,X3,X5) ),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_2417,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268]) ).

cnf(i_0_2418,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(rename_variables,[],[i_0_1268]) ).

cnf(i_0_2419,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),X4,X5),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292]) ).

cnf(i_0_2420,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
    inference(rename_variables,[],[i_0_1979]) ).

cnf(i_0_2421,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1292]) ).

cnf(i_0_2422,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),X3),X4,X5),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294]) ).

cnf(i_0_2423,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
    inference(rename_variables,[],[i_0_1979]) ).

cnf(i_0_2424,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1294]) ).

cnf(i_0_2425,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3),X4,X5),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295]) ).

cnf(i_0_2426,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
    inference(rename_variables,[],[i_0_1979]) ).

cnf(i_0_2427,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1295]) ).

cnf(i_0_2428,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3,hAPP(c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),X3),X4,X5),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296]) ).

cnf(i_0_2429,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
    inference(rename_variables,[],[i_0_1979]) ).

cnf(i_0_2430,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
    | ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1296]) ).

cnf(i_0_2431,plain,
    c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,tc_bool),X2,X1,tc_bool) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372]) ).

cnf(i_0_2432,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1368]) ).

cnf(i_0_2433,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2434,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1372]) ).

cnf(i_0_2435,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226]) ).

cnf(i_0_2436,plain,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),X1,tc_nat),
    inference(rename_variables,[],[i_0_2027]) ).

cnf(i_0_2437,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_lessequals(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1226]) ).

cnf(i_0_2438,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),X2)),X3),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288]) ).

cnf(i_0_2439,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_2440,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_1288]) ).

cnf(i_0_2441,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1)),X3),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290]) ).

cnf(i_0_2442,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_2443,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1290]) ).

cnf(i_0_2444,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412]) ).

cnf(i_0_2445,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1412]) ).

cnf(i_0_2446,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189]) ).

cnf(i_0_2447,plain,
    c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1866]) ).

cnf(i_0_2448,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_1189]) ).

cnf(i_0_2449,plain,
    ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411]) ).

cnf(i_0_2450,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1411]) ).

cnf(i_0_2451,plain,
    c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,c_Set_Oimage(X1,v_U,tc_Com_Opname,tc_bool),X1,tc_Com_Opname,tc_bool),tc_Com_Opname),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447]) ).

cnf(i_0_2452,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2453,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Finite__Set_Ofinite(X1,X3) ),
    inference(rename_variables,[],[i_0_1447]) ).

cnf(i_0_2454,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_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938]) ).

cnf(i_0_2455,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(rename_variables,[],[i_0_1912]) ).

cnf(i_0_2456,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_938]) ).

cnf(i_0_2457,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,v_U,tc_Com_Opname),c_Set_Oinsert(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089]) ).

cnf(i_0_2458,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1938]) ).

cnf(i_0_2459,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_1089]) ).

cnf(i_0_2460,plain,
    ~ c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),c_HOL_Ouminus__class_Ouminus(v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095]) ).

cnf(i_0_2461,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_1201]) ).

cnf(i_0_2462,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ c_in(X4,X3,X1)
    | ~ c_in(X4,X2,X1) ),
    inference(rename_variables,[],[i_0_1095]) ).

cnf(i_0_2463,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X2),X1))),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218]) ).

cnf(i_0_2464,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1889]) ).

cnf(i_0_2465,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1218]) ).

cnf(i_0_2466,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(hAPP(X1,X2))),X1,tc_fun(X3,tc_nat)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351]) ).

cnf(i_0_2467,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(rename_variables,[],[i_0_1351]) ).

cnf(i_0_2468,plain,
    hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1) = c_Suc(X1),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473]) ).

cnf(i_0_2469,plain,
    c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),X2)),tc_nat),
    inference(rename_variables,[],[i_0_2021]) ).

cnf(i_0_2470,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_1473]) ).

cnf(i_0_2471,plain,
    c_lessequals(X1,c_Suc(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),X2)),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1946,i_0_1949,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533]) ).

cnf(i_0_2472,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1533]) ).

cnf(i_0_2473,plain,
    c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1946,i_0_1949,i_0_1985,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537]) ).

cnf(i_0_2474,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1537]) ).

cnf(i_0_2475,plain,
    ~ c_in(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),c_Set_Oimage(X5,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4,tc_bool),X5,X4,tc_bool),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1946,i_0_1949,i_0_1985,i_0_1921,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265]) ).

cnf(i_0_2476,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2477,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_1265]) ).

cnf(i_0_2478,plain,
    ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(c_Suc(X2))),X2,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1946,i_0_1949,i_0_1985,i_0_1921,i_0_1689,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414]) ).

cnf(i_0_2479,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1414]) ).

cnf(i_0_2480,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1),tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172]) ).

cnf(i_0_2481,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1172]) ).

cnf(i_0_2482,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413]) ).

cnf(i_0_2483,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1413]) ).

cnf(i_0_2484,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)),X2) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511]) ).

cnf(i_0_2485,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2486,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_1511]) ).

cnf(i_0_2487,plain,
    ~ c_lessequals(c_Suc(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340]) ).

cnf(i_0_2488,plain,
    c_lessequals(X1,c_Suc(X1),tc_nat),
    inference(rename_variables,[],[i_0_1886]) ).

cnf(i_0_2489,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_1340]) ).

cnf(i_0_2490,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416]) ).

cnf(i_0_2491,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1416]) ).

cnf(i_0_2492,plain,
    c_Suc(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) != c_Set_Oinsert(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694]) ).

cnf(i_0_2493,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1665]) ).

cnf(i_0_2494,plain,
    ~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772]) ).

cnf(i_0_2495,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2496,plain,
    ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),c_Finite__Set_Ocard(v_G,t_a)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2006,i_0_1845,i_0_2211,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773]) ).

cnf(i_0_2497,plain,
    ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4),
    inference(rename_variables,[],[i_0_2105]) ).

cnf(i_0_2498,plain,
    hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2) != hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801]) ).

cnf(i_0_2499,plain,
    ~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807]) ).

cnf(i_0_2500,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2501,plain,
    ~ c_lessequals(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_HOL_Ominus__class_Ominus(v_G,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808]) ).

cnf(i_0_2502,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2503,plain,
    ~ c_lessequals(c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,c_HOL_Ominus__class_Ominus(tc_fun(t_a,tc_bool),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809]) ).

cnf(i_0_2504,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2505,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_G,tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810]) ).

cnf(i_0_2506,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2507,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,c_HOL_Ominus__class_Ominus(tc_fun(t_a,tc_bool),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812]) ).

cnf(i_0_2508,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2509,plain,
    ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat),c_Fun_Ofun__upd(tc_nat,X2,hAPP(tc_nat,X2),X3,X4)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799]) ).

cnf(i_0_2510,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(rename_variables,[],[i_0_1952]) ).

cnf(i_0_2511,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X1,hAPP(tc_nat,X1),X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800]) ).

cnf(i_0_2512,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2513,plain,
    ~ c_in(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(v_mgt(v_c),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(v_P,v_G),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771]) ).

cnf(i_0_2514,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2515,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),X3,c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(tc_nat,X4,hAPP(tc_nat,X4),X5,X6),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X7),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788]) ).

cnf(i_0_2516,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2517,plain,
    ~ c_fequal(c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),X1,hAPP(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),X1),X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793]) ).

cnf(i_0_2518,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2519,plain,
    ~ c_fequal(c_Fun_Ofun__upd(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),X1,hAPP(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),X1),X2,X3),c_Finite__Set_Ocard(v_G,t_a),X4),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794]) ).

cnf(i_0_2520,plain,
    ~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_HOL_Ominus__class_Ominus(v_G,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_fun(t_a,tc_bool)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811]) ).

cnf(i_0_2521,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    inference(rename_variables,[],[i_0_1619]) ).

cnf(i_0_2522,plain,
    ~ c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,c_Orderings_Otop__class_Otop(tc_fun(tc_nat,tc_bool)),tc_nat),X4,c_Fun_Ofun__upd(tc_nat,X5,hAPP(tc_nat,X5),X6,X7),X8),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786]) ).

cnf(i_0_2523,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(rename_variables,[],[i_0_1952]) ).

cnf(i_0_2524,plain,
    ~ c_lessequals(c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,tc_bool),tc_bool),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467]) ).

cnf(i_0_2525,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2526,plain,
    ( X1 = X2
    | ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1467]) ).

cnf(i_0_2527,plain,
    ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(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)),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326]) ).

cnf(i_0_2528,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_2529,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1326]) ).

cnf(i_0_2530,plain,
    ~ c_HOL_Oord__class_Oless(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),c_Finite__Set_Ocard(v_G,t_a),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327]) ).

cnf(i_0_2531,plain,
    c_lessequals(X1,c_Suc(X1),tc_nat),
    inference(rename_variables,[],[i_0_1886]) ).

cnf(i_0_2532,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1327]) ).

cnf(i_0_2533,plain,
    ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),c_Suc(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)),X2),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328]) ).

cnf(i_0_2534,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_2535,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_1328]) ).

cnf(i_0_2536,plain,
    c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249]) ).

cnf(i_0_2537,plain,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(rename_variables,[],[i_0_1007]) ).

cnf(i_0_2538,plain,
    ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4),
    inference(rename_variables,[],[i_0_2105]) ).

cnf(i_0_2539,plain,
    ~ 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_2000]) ).

cnf(i_0_2540,plain,
    ( c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3)
    | X2 = X4
    | c_in(X1,X4,X3)
    | c_in(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1249]) ).

cnf(i_0_2541,plain,
    ~ c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v_sko__local__Xassms__3__1(v_G,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)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960]) ).

cnf(i_0_2542,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1368]) ).

cnf(i_0_2543,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1424]) ).

cnf(i_0_2544,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | c_in(X2,X4,X3)
    | ~ c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_960]) ).

cnf(i_0_2545,plain,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2328,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1011,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960,i_0_1362]) ).

cnf(i_0_2546,plain,
    ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),X1),c_Suc(X2)),X2,tc_nat),
    inference(rename_variables,[],[i_0_2142]) ).

cnf(i_0_2547,plain,
    c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
    inference(rename_variables,[],[i_0_1011]) ).

cnf(i_0_2548,plain,
    ( c_lessequals(X1,hAPP(c_Finite__Set_Olinorder__class_OMax(X2),X3),X2)
    | ~ class_Orderings_Olinorder(X2)
    | ~ c_in(X1,X3,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(rename_variables,[],[i_0_1362]) ).

cnf(i_0_2549,plain,
    ~ c_in(X1,c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),c_Set_Oimage(X5,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X3,tc_bool),X5,X3,tc_bool),X3,X6),X6),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1935,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2476,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2328,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2060,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1011,i_0_1314,i_0_1201,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960,i_0_1362,i_0_879]) ).

cnf(i_0_2550,plain,
    ~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1935]) ).

cnf(i_0_2551,plain,
    c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1916]) ).

cnf(i_0_2552,plain,
    ( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
    | ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
    | ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_879]) ).

cnf(i_0_2553,plain,
    c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X1),c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1935,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2476,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2328,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2060,i_0_2134,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1011,i_0_1314,i_0_1201,i_0_1626,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960,i_0_1362,i_0_879,i_0_1136]) ).

cnf(i_0_2554,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_2555,plain,
    ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),c_Suc(X1)),X2),X1,tc_nat),
    inference(rename_variables,[],[i_0_2134]) ).

cnf(i_0_2556,plain,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Orderings_Oord__class_Omax(X2),X3),X4),X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_lessequals(X1,X4,X2)
    | c_lessequals(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1136]) ).

cnf(i_0_2557,plain,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))),X2) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1935,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2476,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2328,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2060,i_0_2134,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1011,i_0_1314,i_0_1201,i_0_1626,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_1620,i_0_2408,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960,i_0_1362,i_0_879,i_0_1136,i_0_1404]) ).

cnf(i_0_2558,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2559,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(rename_variables,[],[i_0_1404]) ).

cnf(i_0_2560,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1935,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2476,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2328,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2051,i_0_2060,i_0_2134,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1011,i_0_1314,i_0_1201,i_0_1626,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_2525,i_0_1620,i_0_2408,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960,i_0_1362,i_0_879,i_0_1136,i_0_1404,i_0_1528]) ).

cnf(i_0_2561,plain,
    ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),X2),X1),tc_nat),
    inference(rename_variables,[],[i_0_2051]) ).

cnf(i_0_2562,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_2563,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1528]) ).

cnf(i_0_2564,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Fun_Ofun__upd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,hAPP(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1),X2,X3),tc_nat),
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1935,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2476,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2328,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2051,i_0_2060,i_0_2134,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2003,i_0_2170,i_0_2168,i_0_1011,i_0_1314,i_0_1201,i_0_1626,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_2525,i_0_1620,i_0_2408,i_0_2558,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960,i_0_1362,i_0_879,i_0_1136,i_0_1404,i_0_1528,i_0_1369]) ).

cnf(i_0_2565,plain,
    ~ c_lessequals(c_Fun_Ofun__upd(c_Suc(X1),X2,hAPP(c_Suc(X1),X2),X3,X4),X1,tc_nat),
    inference(rename_variables,[],[i_0_1979]) ).

cnf(i_0_2566,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1620]) ).

cnf(i_0_2567,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1369]) ).

cnf(i_0_2568,plain,
    $false,
    inference(scs_inference,[],[i_0_1001,i_0_1660,i_0_1057,i_0_1075,i_0_1929,i_0_2105,i_0_2497,i_0_1923,i_0_1935,i_0_1837,i_0_1983,i_0_2166,i_0_1952,i_0_2307,i_0_2510,i_0_1919,i_0_2113,i_0_1938,i_0_2324,i_0_1978,i_0_1974,i_0_1916,i_0_2200,i_0_2214,i_0_2247,i_0_2250,i_0_2304,i_0_2340,i_0_2346,i_0_2415,i_0_2433,i_0_2452,i_0_2476,i_0_2160,i_0_1914,i_0_1968,i_0_1956,i_0_1987,i_0_1979,i_0_2232,i_0_2420,i_0_2423,i_0_2426,i_0_2429,i_0_1946,i_0_1949,i_0_2177,i_0_1985,i_0_1921,i_0_1689,i_0_1687,i_0_1521,i_0_2316,i_0_1619,i_0_2309,i_0_2311,i_0_2495,i_0_2500,i_0_2502,i_0_2504,i_0_2506,i_0_2508,i_0_2512,i_0_2514,i_0_2516,i_0_2518,i_0_1007,i_0_2006,i_0_1845,i_0_2211,i_0_2356,i_0_1842,i_0_2000,i_0_1866,i_0_2197,i_0_2217,i_0_2220,i_0_2225,i_0_2359,i_0_2362,i_0_2175,i_0_1910,i_0_2371,i_0_2374,i_0_2380,i_0_1886,i_0_2488,i_0_1898,i_0_2265,i_0_2395,i_0_2398,i_0_2401,i_0_2078,i_0_1889,i_0_2313,i_0_2377,i_0_1893,i_0_2259,i_0_2365,i_0_1891,i_0_2154,i_0_2021,i_0_2024,i_0_2180,i_0_2327,i_0_2142,i_0_2328,i_0_2152,i_0_2183,i_0_2331,i_0_2027,i_0_2386,i_0_2030,i_0_2042,i_0_2270,i_0_2389,i_0_2392,i_0_2439,i_0_2442,i_0_2528,i_0_2048,i_0_2051,i_0_2060,i_0_2134,i_0_2140,i_0_2332,i_0_2148,i_0_1912,i_0_2317,i_0_2321,i_0_2455,i_0_2003,i_0_2170,i_0_2168,i_0_1011,i_0_1314,i_0_1201,i_0_1626,i_0_1394,i_0_1665,i_0_1368,i_0_2432,i_0_1518,i_0_1577,i_0_2412,i_0_2485,i_0_2525,i_0_1620,i_0_2408,i_0_2558,i_0_1675,i_0_1683,i_0_1690,i_0_1424,i_0_1674,i_0_1684,i_0_1691,i_0_1685,i_0_1104,i_0_867,i_0_940,i_0_941,i_0_1387,i_0_1538,i_0_945,i_0_996,i_0_1023,i_0_1024,i_0_1133,i_0_1150,i_0_1267,i_0_1329,i_0_1500,i_0_1561,i_0_1578,i_0_1598,i_0_900,i_0_1015,i_0_1025,i_0_1026,i_0_1115,i_0_1147,i_0_1377,i_0_1485,i_0_1488,i_0_1503,i_0_1514,i_0_1318,i_0_1487,i_0_850,i_0_1449,i_0_1470,i_0_1489,i_0_1558,i_0_1418,i_0_1468,i_0_1502,i_0_1419,i_0_1450,i_0_1614,i_0_1545,i_0_1499,i_0_1693,i_0_1187,i_0_1804,i_0_1805,i_0_1806,i_0_1334,i_0_1516,i_0_1585,i_0_1125,i_0_1455,i_0_1474,i_0_1417,i_0_866,i_0_978,i_0_1124,i_0_1188,i_0_1310,i_0_1317,i_0_1374,i_0_930,i_0_962,i_0_1210,i_0_1212,i_0_1214,i_0_1216,i_0_1217,i_0_1220,i_0_1222,i_0_1224,i_0_1285,i_0_1286,i_0_1298,i_0_1300,i_0_1301,i_0_1302,i_0_1421,i_0_1555,i_0_1000,i_0_1268,i_0_1292,i_0_1294,i_0_1295,i_0_1296,i_0_1372,i_0_1226,i_0_1288,i_0_1290,i_0_1412,i_0_1189,i_0_1411,i_0_1447,i_0_938,i_0_1089,i_0_1095,i_0_1218,i_0_1351,i_0_1473,i_0_1533,i_0_1537,i_0_1265,i_0_1414,i_0_1172,i_0_1413,i_0_1511,i_0_1340,i_0_1416,i_0_1694,i_0_1772,i_0_1773,i_0_1801,i_0_1807,i_0_1808,i_0_1809,i_0_1810,i_0_1812,i_0_1799,i_0_1800,i_0_1771,i_0_1788,i_0_1793,i_0_1794,i_0_1811,i_0_1786,i_0_1467,i_0_1326,i_0_1327,i_0_1328,i_0_1249,i_0_960,i_0_1362,i_0_879,i_0_1136,i_0_1404,i_0_1528,i_0_1369,i_0_1063]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV877-1 : 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
% 0.15/0.33  % Computer : n009.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 06:05:41 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 6.11/5.69  % Version  : CSE_E---1.7
% 6.11/5.69  % Problem  : theBenchmark.p
% 6.11/5.69  % SZS status Unsatisfiable for theBenchmark.p
% 6.11/5.69  % SZS output start CNFRefutation
% See solution above
% 14.34/13.97  % Total time : 5.343s
%------------------------------------------------------------------------------