CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SCT088-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n021.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 05:05:59 PM UTC 2026

% Result   : Unsatisfiable 0.72s 1.61s
% Output   : CNFRefutation 4.01s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_674)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_butlast__list__update_0,axiom,
    c_List_Obutlast(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = c_List_Obutlast(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__list__update_0) ).

cnf(cls_butlast__conv__take_0,axiom,
    c_List_Obutlast(X1,X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__conv__take_0) ).

cnf(cls_butlast__list__update_1,axiom,
    ( c_List_Obutlast(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Obutlast(X1,X4),X2,X3,X4)
    | X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__list__update_1) ).

cnf(cls_butlast__snoc_0,axiom,
    c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__snoc_0) ).

cnf(cls_butlast_Osimps_I2_J_1,axiom,
    ( c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)
    | X2 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_1) ).

cnf(cls_butlast__append_1,axiom,
    ( c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(X1,c_List_Obutlast(X2,X3),X3)
    | X2 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__append_1) ).

cnf(cls_upd__conv__take__nth__drop_0,axiom,
    ( c_List_Olist__update(X1,X2,X3,X4) = c_List_Oappend(c_List_Otake(X2,X1,X4),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X2),X1,X4),X4),X4)
    | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_upd__conv__take__nth__drop_0) ).

cnf(cls_Suc__eq__plus1_0,axiom,
    c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).

cnf(cls_butlast__drop_0,axiom,
    c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__drop_0) ).

cnf(cls_drop__butlast_0,axiom,
    c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__butlast_0) ).

cnf(cls_power__le__imp__le__base_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X4),X1),c_Power_Opower__class_Opower(X3,c_Suc(X4),X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__le__imp__le__base_0) ).

cnf(cls_butlast__append_0,axiom,
    c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__append_0) ).

cnf(cls_take__hd__drop_0,axiom,
    ( c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(X1,X2,X3),X3),c_List_Olist_ONil(X3),X3),X3) = c_List_Otake(c_Suc(X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__hd__drop_0) ).

cnf(cls_list__update__code_I3_J_0,axiom,
    c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X5,X3) = c_List_Olist_OCons(X1,c_List_Olist__update(X2,X4,X5,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__code_I3_J_0) ).

cnf(cls_butlast_Osimps_I2_J_0,axiom,
    c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_0) ).

cnf(cls_take__butlast_0,axiom,
    ( c_List_Otake(X1,c_List_Obutlast(X2,X3),X3) = c_List_Otake(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__butlast_0) ).

cnf(cls_power__inject__base_0,axiom,
    ( X2 = X4
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,c_Suc(X3),X1) != c_Power_Opower__class_Opower(X4,c_Suc(X3),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__inject__base_0) ).

cnf(cls_append__butlast__last__id_0,axiom,
    ( c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__butlast__last__id_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/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__diff_0) ).

cnf(cls_length__butlast_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__butlast_0) ).

cnf(cls_power__Suc__less__one_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__Suc__less__one_0) ).

cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
    c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),X2,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__Suc__eq__Suc__mod_0) ).

cnf(cls_power__gt1_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__gt1_0) ).

cnf(cls_mod__Suc_1,axiom,
    ( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))
    | c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__Suc_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_Suc__less__eq_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/sandbox2/benchmark/theBenchmark.p',cls_Suc__pred_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/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__less_0) ).

cnf(cls_add__eq__if_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__eq__if_1) ).

cnf(cls_min__Suc__Suc_0,axiom,
    c_Orderings_Oord__class_Omin(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(X1,X2,tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__Suc__Suc_0) ).

cnf(cls_take__Suc__Cons_0,axiom,
    c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Suc__Cons_0) ).

cnf(cls_take__tl_0,axiom,
    c_List_Otake(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Otake(c_Suc(X1),X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__tl_0) ).

cnf(cls_mod__Suc_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__Suc_0) ).

cnf(cls_take__Suc_0,axiom,
    ( c_List_Otake(c_Suc(X1),X2,X3) = c_List_Olist_OCons(c_List_Ohd(X2,X3),c_List_Otake(X1,c_List_Otl(X2,X3),X3),X3)
    | X2 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Suc_0) ).

cnf(cls_less__add__Suc1_0,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc1_0) ).

cnf(cls_less__iff__Suc__add_1,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__iff__Suc__add_1) ).

cnf(cls_less__add__Suc2_0,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc2_0) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_less__Suc__eq__0__disj_3) ).

cnf(cls_expand__Suc_0,axiom,
    ( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_expand__Suc_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_1) ).

cnf(cls_list_Osize_I4_J_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osize_I4_J_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_less__trans__Suc_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__Suc_0) ).

cnf(cls_add__Suc__shift_0,axiom,
    c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__shift_0) ).

cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__eq__diff__pred_0) ).

cnf(cls_drop__Suc__Cons_0,axiom,
    c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Suc__Cons_0) ).

cnf(cls_replicate__Suc_0,axiom,
    c_List_Oreplicate(c_Suc(X1),X2,X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__Suc_0) ).

cnf(cls_add__Suc_0,axiom,
    c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc_0) ).

cnf(cls_add__Suc__right_0,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_less__antisym_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/sandbox2/benchmark/theBenchmark.p',cls_Suc__lessD_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/sandbox2/benchmark/theBenchmark.p',cls_Suc__lessI_0) ).

cnf(cls_one__is__add_1,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_1) ).

cnf(cls_add__is__1_1,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_1) ).

cnf(cls_rotate__Suc_0,axiom,
    c_List_Orotate(c_Suc(X1),X2,X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__Suc_0) ).

cnf(cls_butlast_Osimps_I1_J_0,axiom,
    c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I1_J_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/sandbox2/benchmark/theBenchmark.p',cls_less__Suc0_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/sandbox2/benchmark/theBenchmark.p',cls_diff__less__Suc_0) ).

cnf(cls_Suc__diff__1_0,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__1_0) ).

cnf(cls_Suc__pred_H_0,axiom,
    ( X1 = c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__pred_H_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_less__SucI_0) ).

cnf(cls_drop__Suc_0,axiom,
    c_List_Odrop(c_Suc(X1),X2,X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Suc_0) ).

cnf(cls_one__is__add_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_0) ).

cnf(cls_one__is__add_3,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_3) ).

cnf(cls_add__is__1_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_0) ).

cnf(cls_add__is__1_3,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_3) ).

cnf(cls_add__is__1_4,axiom,
    c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_4) ).

cnf(cls_add__is__1_5,axiom,
    c_HOL_Oplus__class_Oplus(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)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_5) ).

cnf(cls_one__is__add_4,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_4) ).

cnf(cls_one__is__add_5,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_5) ).

cnf(cls_Suc__length__conv_2,axiom,
    c_Suc(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X3,X1,X2),tc_List_Olist(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__length__conv_2) ).

cnf(cls_length__Suc__conv_2,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_Suc(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__Suc__conv_2) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_0) ).

cnf(cls_power__0__Suc_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0__Suc_0) ).

cnf(cls_one__is__add_2,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_2) ).

cnf(cls_add__is__1_2,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_2) ).

cnf(cls_add__nonneg__eq__0__iff_2,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_2) ).

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

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

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_less__Suc0_1) ).

cnf(cls_Nitpick_Olist__size__simp_I2_J_1,axiom,
    ( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Suc(c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)))
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Olist__size__simp_I2_J_1) ).

cnf(cls_mod__1_0,axiom,
    c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__1_0) ).

cnf(cls_diff__Suc__1_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__1_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/sandbox2/benchmark/theBenchmark.p',cls_gr0__conv__Suc_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_zero__less__Suc_0) ).

cnf(cls_less__Suc__eq_2,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_lessI_0) ).

cnf(cls_Suc__eq__plus1__left_0,axiom,
    c_Suc(X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1__left_0) ).

cnf(cls_Suc__neq__Zero_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I3_J_0) ).

cnf(cls_nat_Osimps_I2_J_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).

cnf(cls_Zero__neq__Suc_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zero__neq__Suc_0) ).

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

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

cnf(cls_One__nat__def_0,axiom,
    c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_One__nat__def_0) ).

cnf(cls_CHAINED_0_01,axiom,
    c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),v_h____,v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_Cons__eq__append__conv_2,axiom,
    ( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
    | c_List_Olist_OCons(X1,X2,X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_2) ).

cnf(cls_Cons__eq__append__conv_3,axiom,
    ( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
    | c_List_Olist_OCons(X1,X2,X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_3) ).

cnf(cls_append__eq__Cons__conv_3,axiom,
    ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
    | X2 = c_List_Olist_OCons(X4,X5,X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_3) ).

cnf(cls_append__eq__Cons__conv_2,axiom,
    ( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
    | X2 = c_List_Olist_OCons(X4,X5,X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_2) ).

cnf(cls_append__eq__Cons__conv_1,axiom,
    ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
    | X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_1) ).

cnf(cls_Cons__eq__append__conv_0,axiom,
    ( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
    | X4 = c_List_Olist_ONil(X3)
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_0) ).

cnf(cls_Cons__eq__append__conv_1,axiom,
    ( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
    | X4 = c_List_Olist_ONil(X3)
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_1) ).

cnf(cls_append__eq__Cons__conv_0,axiom,
    ( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
    | X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_0) ).

cnf(cls_append__eq__append__conv__if_6,axiom,
    ( c_List_Oappend(X3,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) = c_List_Oappend(X1,X4,X2)
    | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) != X4
    | c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
    | X3 != c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_6) ).

cnf(cls_list__update__swap_0,axiom,
    ( c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X5,X6,X4) = c_List_Olist__update(c_List_Olist__update(X1,X5,X6,X4),X2,X3,X4)
    | X2 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__swap_0) ).

cnf(cls_rev__update_0,axiom,
    ( c_List_Orev(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Orev(X1,X4),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__update_0) ).

cnf(cls_list__update__append_1,axiom,
    ( c_List_Olist__update(c_List_Oappend(X1,X2,X3),X4,X5,X3) = c_List_Oappend(X1,c_List_Olist__update(X2,c_HOL_Ominus__class_Ominus(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat),X5,X3),X3)
    | c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__append_1) ).

cnf(cls_rotate__rev_0,axiom,
    c_List_Orotate(X1,c_List_Orev(X2,X3),X3) = c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),tc_nat),X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__rev_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( v_thesis____
    | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_that_0,axiom,
    ( v_thesis____
    | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).

cnf(cls_list__update__append_0,axiom,
    ( c_List_Olist__update(c_List_Oappend(X1,X2,X3),X4,X5,X3) = c_List_Oappend(c_List_Olist__update(X1,X4,X5,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__append_0) ).

cnf(cls_list__update__append1_0,axiom,
    ( c_List_Olist__update(c_List_Oappend(X1,X2,X3),X4,X5,X3) = c_List_Oappend(c_List_Olist__update(X1,X4,X5,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__append1_0) ).

cnf(cls_rotate__drop__take_0,axiom,
    c_List_Orotate(X1,X2,X3) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),c_List_Otake(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__drop__take_0) ).

cnf(cls_list__update__overwrite_0,axiom,
    c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__overwrite_0) ).

cnf(cls_CHAINED_0,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__CHAINED__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_third__alt_0,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_third__alt_0) ).

cnf(cls_last__list__update_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__list__update_0) ).

cnf(cls_drop__append_0,axiom,
    c_List_Odrop(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__append_0) ).

cnf(cls_take__append_0,axiom,
    c_List_Otake(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Otake(X1,X2,X4),c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__append_0) ).

cnf(cls_list__update__length_0,axiom,
    c_List_Olist__update(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X5,X4) = c_List_Oappend(X1,c_List_Olist_OCons(X5,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__length_0) ).

cnf(cls_mod__diff__eq_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Oring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__eq_0) ).

cnf(cls_mod__add__eq_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__eq_0) ).

cnf(cls_alt3_0,axiom,
    c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_alt3_0) ).

cnf(cls_splice_Osimps_I2_J_1,axiom,
    ( c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(c_List_Ohd(X4,X3),c_List_Osplice(X2,c_List_Otl(X4,X3),X3),X3),X3)
    | X4 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice_Osimps_I2_J_1) ).

cnf(cls_mod__diff__cong_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)
    | ~ class_Divides_Oring__div(X1)
    | c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
    | c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__cong_0) ).

cnf(cls_mod__add__cong_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X6,X4,X1),X3,X1)
    | ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
    | c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__cong_0) ).

cnf(cls_take__Cons__number__of_1,axiom,
    ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons__number__of_1) ).

cnf(cls_sorted_Osimps_I3_J_1,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X4,c_List_Olist_OCons(X2,X3,X1),X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_1) ).

cnf(cls_replicate__app__Cons__same_0,axiom,
    c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3) = c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__app__Cons__same_0) ).

cnf(cls_splice__Cons__Cons_0,axiom,
    c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice__Cons__Cons_0) ).

cnf(cls_last__list__update_1,axiom,
    ( c_List_Olast(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olast(X1,X4)
    | X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | X1 = c_List_Olist_ONil(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__list__update_1) ).

cnf(cls_sorted_Osimps_I3_J_2,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X4,X1),X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_2) ).

cnf(cls_sorted_Osimps_I3_J_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_0) ).

cnf(cls_power__less__imp__less__base_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__less__imp__less__base_0) ).

cnf(cls_power__less__imp__less__exp_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__less__imp__less__exp_0) ).

cnf(cls_power__strict__increasing__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__strict__increasing__iff_0) ).

cnf(cls_power__strict__decreasing_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__strict__decreasing_0) ).

cnf(cls_append1__eq__conv_0,axiom,
    ( X1 = X4
    | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).

cnf(cls_append1__eq__conv_1,axiom,
    ( X2 = X5
    | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).

cnf(cls_power__strict__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__strict__mono_0) ).

cnf(cls_take__Cons_H_1,axiom,
    ( c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons_H_1) ).

cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I20_J_0) ).

cnf(cls_zmod__simps_I1_J_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I1_J_0) ).

cnf(cls_zmod__simps_I2_J_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I2_J_0) ).

cnf(cls_mod__diff__left__eq_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
    | ~ class_Divides_Oring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__left__eq_0) ).

cnf(cls_mod__add__left__eq_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__left__eq_0) ).

cnf(cls_mod__diff__right__eq_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Oring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__right__eq_0) ).

cnf(cls_mod__add__right__eq_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__right__eq_0) ).

cnf(cls_append__replicate__commute_0,axiom,
    c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3) = c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__replicate__commute_0) ).

cnf(cls_length__list__update_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__list__update_0) ).

cnf(cls_take__drop_0,axiom,
    c_List_Otake(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(X2,c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__drop_0) ).

cnf(cls_le__add__right__mono_0,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X5,X4,X1)
    | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__right__mono_0) ).

cnf(cls_add__le__cancel__right_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_0) ).

cnf(cls_add__le__cancel__left_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_0) ).

cnf(cls_add__less__cancel__right_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__right_0) ).

cnf(cls_add__less__cancel__left_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__left_0) ).

cnf(cls_rev__eq__Cons__iff_1,axiom,
    c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).

cnf(cls_nat__add__left__cancel__less_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel__less_0) ).

cnf(cls_power__eq__imp__eq__base_0,axiom,
    ( X2 = X4
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Power_Opower__class_Opower(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__eq__imp__eq__base_0) ).

cnf(cls_power__mono_0,axiom,
    ( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__mono_0) ).

cnf(cls_power__strict__increasing_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__strict__increasing_0) ).

cnf(cls_power__strict__increasing__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__strict__increasing__iff_1) ).

cnf(cls_add__mono_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mono_0) ).

cnf(cls_add__less__le__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__le__mono_0) ).

cnf(cls_add__le__less__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__less__mono_0) ).

cnf(cls_add__strict__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__mono_0) ).

cnf(cls_replicate__append__same_0,axiom,
    c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__append__same_0) ).

cnf(cls_min__diff__distrib__left_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__diff__distrib__left_0) ).

cnf(cls_min__add__distrib__left_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__add__distrib__left_0) ).

cnf(cls_removeAll__append_0,axiom,
    c_List_OremoveAll(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_OremoveAll(X1,X2,X4),c_List_OremoveAll(X1,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_removeAll__append_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/sandbox2/benchmark/theBenchmark.p',cls_diff__less__mono2_0) ).

cnf(cls_add__less__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__mono_0) ).

cnf(cls_replicate__add_0,axiom,
    c_List_Oreplicate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) = c_List_Oappend(c_List_Oreplicate(X1,X3,X4),c_List_Oreplicate(X2,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__add_0) ).

cnf(cls_drop__take_0,axiom,
    c_List_Odrop(X1,c_List_Otake(X2,X3,X4),X4) = c_List_Otake(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_List_Odrop(X1,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__take_0) ).

cnf(cls_min__diff_0,axiom,
    c_Orderings_Oord__class_Omin(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(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__diff_0) ).

cnf(cls_list__update__code_I2_J_0,axiom,
    c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),X4,X3) = c_List_Olist_OCons(X4,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__code_I2_J_0) ).

cnf(cls_drop__Cons__number__of_1,axiom,
    ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons__number__of_1) ).

cnf(cls_less__diff__conv_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__diff__conv_0) ).

cnf(cls_less__diff__conv_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__diff__conv_1) ).

cnf(cls_add__cancel__21_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_0) ).

cnf(cls_list__update__nonempty_0,axiom,
    ( X1 = c_List_Olist_ONil(X4)
    | c_List_Olist__update(X1,X2,X3,X4) != c_List_Olist_ONil(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__nonempty_0) ).

cnf(cls_append__eq__conv__conj_2,axiom,
    ( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
    | X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_2) ).

cnf(cls_rev__drop_0,axiom,
    c_List_Orev(c_List_Odrop(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__drop_0) ).

cnf(cls_rev__take_0,axiom,
    c_List_Orev(c_List_Otake(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__take_0) ).

cnf(cls_min__le__iff__disj_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
    file('/export/starexec/sandbox2/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(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_0) ).

cnf(cls_add__nonpos__nonpos_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonpos__nonpos_0) ).

cnf(cls_add__neg__nonpos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__nonpos_0) ).

cnf(cls_add__nonpos__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonpos__neg_0) ).

cnf(cls_add__neg__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__neg_0) ).

cnf(cls_add__nonneg__nonneg_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__nonneg_0) ).

cnf(cls_add__pos__nonneg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__nonneg_0) ).

cnf(cls_add__nonneg__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__pos_0) ).

cnf(cls_add__pos__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__pos_0) ).

cnf(cls_add__gr__0_0,axiom,
    ( 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_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__gr__0_0) ).

cnf(cls_add__left__mono_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__mono_0) ).

cnf(cls_add__le__cancel__left_1,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_1) ).

cnf(cls_add__right__mono_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__mono_0) ).

cnf(cls_add__le__cancel__right_1,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_1) ).

cnf(cls_add__less__cancel__left_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__left_1) ).

cnf(cls_add__strict__left__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__left__mono_0) ).

cnf(cls_add__less__cancel__right_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__right_1) ).

cnf(cls_add__strict__right__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__right__mono_0) ).

cnf(cls_last__snoc_0,axiom,
    c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__snoc_0) ).

cnf(cls_one__less__power_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__less__power_0) ).

cnf(cls_add__increasing2_0,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing2_0) ).

cnf(cls_add__increasing_0,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing_0) ).

cnf(cls_add__strict__increasing_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing_0) ).

cnf(cls_add__strict__increasing2_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing2_0) ).

cnf(cls_pos__add__strict_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pos__add__strict_0) ).

cnf(cls_le__number__of__eq__not__less_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ class_Int_Onumber(X1)
    | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
    | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__number__of__eq__not__less_0) ).

cnf(cls_nat__add__left__cancel__less_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel__less_1) ).

cnf(cls_add__less__mono1_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__mono1_0) ).

cnf(cls_min__max_Oinf__greatest_0,axiom,
    ( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__greatest_0) ).

cnf(cls_min__max_Ole__inf__iff_2,axiom,
    ( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_2) ).

cnf(cls_min__max_Ole__infI_0,axiom,
    ( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI_0) ).

cnf(cls_min__less__iff__conj_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_2) ).

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/sandbox2/benchmark/theBenchmark.p',cls_diff__less_0) ).

cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_0) ).

cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_0) ).

cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_0) ).

cnf(cls_even__less__0__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(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_0) ).

cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_0) ).

cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I23_J_0) ).

cnf(cls_min__max_Oinf__assoc_0,axiom,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__assoc_0) ).

cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I21_J_0) ).

cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__assoc_0) ).

cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I25_J_0) ).

cnf(cls_class__semiring_Oadd__a_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__a_0) ).

cnf(cls_min__max_Oinf__left__commute_0,axiom,
    ( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) = c_Orderings_Oord__class_Omin(X3,c_Orderings_Oord__class_Omin(X2,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__left__commute_0) ).

cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I22_J_0) ).

cnf(cls_add__cancel__21_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_1) ).

cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__left__commute_0) ).

cnf(cls_drop__Cons_H_1,axiom,
    ( c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons_H_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_1) ).

cnf(cls_removeAll_Osimps_I2_J_1,axiom,
    ( c_List_OremoveAll(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OremoveAll(X1,X3,X4),X4)
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_removeAll_Osimps_I2_J_1) ).

cnf(cls_remove1_Osimps_I2_J_1,axiom,
    ( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_1) ).

cnf(cls_append__eq__Cons__conv_5,axiom,
    c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_5) ).

cnf(cls_append__Cons_0,axiom,
    c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Cons_0) ).

cnf(cls_append__eq__append__conv2_4,axiom,
    c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv2_4) ).

cnf(cls_append__assoc_0,axiom,
    c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__assoc_0) ).

cnf(cls_Cons__eq__append__conv_5,axiom,
    c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).

cnf(cls_Cons__eq__appendI_0,axiom,
    c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__appendI_0) ).

cnf(cls_append__eq__append__conv2_5,axiom,
    c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).

cnf(cls_append__eq__appendI_0,axiom,
    c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__appendI_0) ).

cnf(cls_rev_Osimps_I2_J_0,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev_Osimps_I2_J_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/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_1) ).

cnf(cls_le__eqI_0,axiom,
    ( c_lessequals(X5,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_0) ).

cnf(cls_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_less__eqI_0) ).

cnf(cls_rotate__rotate_0,axiom,
    c_List_Orotate(X1,c_List_Orotate(X2,X3,X4),X4) = c_List_Orotate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__rotate_0) ).

cnf(cls_drop__replicate_0,axiom,
    c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__replicate_0) ).

cnf(cls_drop__drop_0,axiom,
    c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__drop_0) ).

cnf(cls_take__replicate_0,axiom,
    c_List_Otake(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__replicate_0) ).

cnf(cls_take__take_0,axiom,
    c_List_Otake(X1,c_List_Otake(X2,X3,X4),X4) = c_List_Otake(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__take_0) ).

cnf(cls_min__max_Ole__inf__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/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,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/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,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/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,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/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,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/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,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_1) ).

cnf(cls_diff__cancel_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__cancel_0) ).

cnf(cls_diff__cancel2_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__cancel2_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/sandbox2/benchmark/theBenchmark.p',cls_diff__commute_0) ).

cnf(cls_diff__diff__left_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__diff__left_0) ).

cnf(cls_nat__add__assoc_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__assoc_0) ).

cnf(cls_nat__add__left__commute_0,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__commute_0) ).

cnf(cls_List_Omember_Osimps_I2_J_0,axiom,
    ( c_List_Omember(X1,X2,X3)
    | X1 = X4
    | ~ c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Omember_Osimps_I2_J_0) ).

cnf(cls_tl__take_0,axiom,
    c_List_Otl(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__take_0) ).

cnf(cls_rev__eq__Cons__iff_0,axiom,
    ( X1 = c_List_Oappend(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_zero__less__diff_0) ).

cnf(cls_less__add__eq__less_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__eq__less_0) ).

cnf(cls_min__number__of_0,axiom,
    ( c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
    | ~ class_Int_Onumber(X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__number__of_0) ).

cnf(cls_add__lessD1_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__lessD1_0) ).

cnf(cls_add__nonneg__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_0) ).

cnf(cls_add__nonneg__eq__0__iff_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_1) ).

cnf(cls_rotate__simps_1,axiom,
    c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__simps_1) ).

cnf(cls_tl__replicate_0,axiom,
    ( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__replicate_0) ).

cnf(cls_rotate__conv__mod_0,axiom,
    c_List_Orotate(X1,X2,X3) = c_List_Orotate(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__conv__mod_0) ).

cnf(cls_last__drop_0,axiom,
    ( c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__drop_0) ).

cnf(cls_power__inject__exp_0,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Power_Opower__class_Opower(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__inject__exp_0) ).

cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_1) ).

cnf(cls_even__less__0__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(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/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_1) ).

cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_1) ).

cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_1) ).

cnf(cls_zero__le__power_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__power_0) ).

cnf(cls_one__le__power_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__le__power_0) ).

cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_1) ).

cnf(cls_zero__less__power_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__power_0) ).

cnf(cls_rotate1__hd__tl_0,axiom,
    ( c_List_Orotate1(X1,X2) = c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate1__hd__tl_0) ).

cnf(cls_append__take__drop__id_0,axiom,
    c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__take__drop__id_0) ).

cnf(cls_mod__if_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__if_1) ).

cnf(cls_drop__Cons__number__of_0,axiom,
    ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons__number__of_0) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_0) ).

cnf(cls_list__update_Osimps_I1_J_0,axiom,
    c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update_Osimps_I1_J_0) ).

cnf(cls_list__update__code_I1_J_0,axiom,
    c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__code_I1_J_0) ).

cnf(cls_list__update__nonempty_1,axiom,
    c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__nonempty_1) ).

cnf(cls_length__splice_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Osplice(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__splice_0) ).

cnf(cls_length__append_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Oappend(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__append_0) ).

cnf(cls_min__le__iff__disj_1,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_1) ).

cnf(cls_min__max_Ole__infI1_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI1_0) ).

cnf(cls_min__le__iff__disj_2,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_2) ).

cnf(cls_min__max_Ole__infI2_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI2_0) ).

cnf(cls_min__less__iff__disj_1,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_1) ).

cnf(cls_min__max_Oless__infI1_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__infI1_0) ).

cnf(cls_min__less__iff__disj_2,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_2) ).

cnf(cls_min__max_Oless__infI2_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__infI2_0) ).

cnf(cls_add__gr__0_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__gr__0_1) ).

cnf(cls_add__gr__0_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__gr__0_2) ).

cnf(cls_List_Omember_Osimps_I2_J_2,axiom,
    ( c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ c_List_Omember(X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Omember_Osimps_I2_J_2) ).

cnf(cls_not__add__less1_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less1_0) ).

cnf(cls_not__add__less2_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less2_0) ).

cnf(cls_mod__less__divisor_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__less__divisor_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/sandbox2/benchmark/theBenchmark.p',cls_zero__less__diff_1) ).

cnf(cls_min__number__of_1,axiom,
    ( c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_Int_Onumber__class_Onumber__of(X3,X1)
    | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
    | ~ class_Int_Onumber(X1)
    | ~ class_HOL_Oord(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__number__of_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).

cnf(cls_trans__less__add1_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__less__add1_0) ).

cnf(cls_termination__basic__simps_I1_J_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I1_J_0) ).

cnf(cls_trans__less__add2_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__less__add2_0) ).

cnf(cls_termination__basic__simps_I2_J_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I2_J_0) ).

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

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

cnf(cls_xt1_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).

cnf(cls_le__number__of__eq__not__less_1,axiom,
    ( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_Int_Onumber(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__number__of__eq__not__less_1) ).

cnf(cls_rev__append_0,axiom,
    c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__append_0) ).

cnf(cls_take__1__Cons_0,axiom,
    c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__1__Cons_0) ).

cnf(cls_mod__mod__trivial_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mod__trivial_0) ).

cnf(cls_mod__add__self1_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1) = c_Divides_Odiv__class_Omod(X3,X2,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__self1_0) ).

cnf(cls_mod__add__self2_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__self2_0) ).

cnf(cls_min__max_Oinf__left__idem_0,axiom,
    ( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1) = c_Orderings_Oord__class_Omin(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__left__idem_0) ).

cnf(cls_splice_Osimps_I2_J_0,axiom,
    c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice_Osimps_I2_J_0) ).

cnf(cls_append__eq__Cons__conv_4,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_4) ).

cnf(cls_Cons__eq__append__conv_4,axiom,
    c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_4) ).

cnf(cls_drop__Cons_H_0,axiom,
    c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons_H_0) ).

cnf(cls_length__drop_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__drop_0) ).

cnf(cls_length__take_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Otake(X1,X2,X3),tc_List_Olist(X3)) = c_Orderings_Oord__class_Omin(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__take_0) ).

cnf(cls_removeAll_Osimps_I2_J_0,axiom,
    c_List_OremoveAll(X1,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_OremoveAll(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_removeAll_Osimps_I2_J_0) ).

cnf(cls_take__Cons__number__of_0,axiom,
    ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons__number__of_0) ).

cnf(cls_sorted__Cons_0,axiom,
    ( c_List_Olinorder__class_Osorted(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__Cons_0) ).

cnf(cls_sorted__append_0,axiom,
    ( c_List_Olinorder__class_Osorted(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_0) ).

cnf(cls_sorted__append_1,axiom,
    ( c_List_Olinorder__class_Osorted(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_1) ).

cnf(cls_add__diff__inverse_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__inverse_0) ).

cnf(cls_tl__append2_0,axiom,
    ( c_List_Otl(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Otl(X1,X3),X2,X3)
    | X1 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__append2_0) ).

cnf(cls_distinct_Osimps_I2_J_1,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_1) ).

cnf(cls_distinct__rotate_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rotate_0) ).

cnf(cls_distinct__append_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Oappend(X1,X3,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__append_0) ).

cnf(cls_distinct__append_1,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Oappend(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__append_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).

cnf(cls_rotate__id_0,axiom,
    ( c_List_Orotate(X1,X2,X3) = X2
    | c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__id_0) ).

cnf(cls_drop__tl_0,axiom,
    c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__tl_0) ).

cnf(cls_tl__drop_0,axiom,
    c_List_Otl(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__drop_0) ).

cnf(cls_rotate1__rotate__swap_0,axiom,
    c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate1__rotate__swap_0) ).

cnf(cls_append__eq__conv__conj_1,axiom,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_1) ).

cnf(cls_append__eq__conv__conj_0,axiom,
    X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_0) ).

cnf(cls_CHAINED_0_03,axiom,
    c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

cnf(cls_zero__less__two_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__two_0) ).

cnf(cls_rev__singleton__conv_1,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__singleton__conv_1) ).

cnf(cls_singleton__rev__conv_1,axiom,
    c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__rev__conv_1) ).

cnf(cls_List_Onull_Osimps_I2_J_0,axiom,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onull_Osimps_I2_J_0) ).

cnf(cls_class__ringb_Oadd__cancel_0,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__cancel_0) ).

cnf(cls_order__antisym__conv_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).

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

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

cnf(cls_less__add__one_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__one_0) ).

cnf(cls_eq__eqI_1,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_1) ).

cnf(cls_add__right__cancel_0,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__cancel_0) ).

cnf(cls_eq__eqI_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).

cnf(cls_add__left__cancel_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__cancel_0) ).

cnf(cls_add__imp__eq_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__imp__eq_0) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).

cnf(cls_singleton__rev__conv_0,axiom,
    ( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
    | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__rev__conv_0) ).

cnf(cls_rev__singleton__conv_0,axiom,
    ( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__singleton__conv_0) ).

cnf(cls_replicate__eq__replicate_1,axiom,
    ( X2 = X5
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__eq__replicate_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/sandbox2/benchmark/theBenchmark.p',cls_diffs0__imp__equal_0) ).

cnf(cls_rev__replicate_0,axiom,
    c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__replicate_0) ).

cnf(cls_replicate__eq__replicate_0,axiom,
    ( X1 = X4
    | c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__eq__replicate_0) ).

cnf(cls_list_Oinject_0,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

cnf(cls_append__same__eq_0,axiom,
    ( X1 = X4
    | c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__same__eq_0) ).

cnf(cls_same__append__eq_0,axiom,
    ( X2 = X4
    | c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_same__append__eq_0) ).

cnf(cls_list_Oinject_1,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_1) ).

cnf(cls_add__diff__cancel_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).

cnf(cls_diff__add__cancel_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).

cnf(cls_min__max_Oinf__le1_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__le1_0) ).

cnf(cls_min__max_Oinf__le2_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__le2_0) ).

cnf(cls_nat__add__right__cancel_0,axiom,
    ( X1 = X3
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__right__cancel_0) ).

cnf(cls_nat__add__left__cancel_0,axiom,
    ( X2 = X3
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel_0) ).

cnf(cls_natgb_Oadd__cancel_0,axiom,
    ( X2 = X3
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__cancel_0) ).

cnf(cls_take__Cons_H_0,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons_H_0) ).

cnf(cls_length__greater__0__conv_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__greater__0__conv_0) ).

cnf(cls_drop__1__Cons_0,axiom,
    c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__1__Cons_0) ).

cnf(cls_remove1_Osimps_I2_J_0,axiom,
    c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_0) ).

cnf(cls_List_Omember_Osimps_I2_J_1,axiom,
    c_List_Omember(X1,c_List_Olist_OCons(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Omember_Osimps_I2_J_1) ).

cnf(cls_diff__add__0_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__0_0) ).

cnf(cls_diff__add__inverse_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__inverse_0) ).

cnf(cls_diff__add__inverse2_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__inverse2_0) ).

cnf(cls_sorted__remove1_0,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Oremove1(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__remove1_0) ).

cnf(cls_sorted__drop_0,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Odrop(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__drop_0) ).

cnf(cls_sorted__take_0,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Otake(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__take_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/sandbox2/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_order__le__neq__trans_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/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_2) ).

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/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_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/sandbox2/benchmark/theBenchmark.p',cls_xt1_I12_J_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/sandbox2/benchmark/theBenchmark.p',cls_xt1_I11_J_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/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).

cnf(cls_linorder__antisym__conv1_0,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).

cnf(cls_min__max_Ole__iff__inf_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Omin(X2,X3,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_1) ).

cnf(cls_min__max_Ole__iff__inf_0,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X3,X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_0) ).

cnf(cls_min__max_Oinf__absorb2_0,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X3,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__absorb2_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).

cnf(cls_length__rotate_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__rotate_0) ).

cnf(cls_hd__append_0,axiom,
    c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__append_0) ).

cnf(cls_last__append_0,axiom,
    c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__append_0) ).

cnf(cls_distinct__remove1_0,axiom,
    ( c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remove1_0) ).

cnf(cls_distinct__rotate_1,axiom,
    ( c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rotate_1) ).

cnf(cls_distinct__drop_0,axiom,
    ( c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__drop_0) ).

cnf(cls_distinct__take_0,axiom,
    ( c_List_Odistinct(c_List_Otake(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__take_0) ).

cnf(cls_sorted_Osimps_I2_J_0,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I2_J_0) ).

cnf(cls_hd__append_1,axiom,
    ( c_List_Ohd(c_List_Oappend(X1,X2,X3),X3) = c_List_Ohd(X1,X3)
    | X1 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__append_1) ).

cnf(cls_last_Osimps_1,axiom,
    ( c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last_Osimps_1) ).

cnf(cls_last__append_1,axiom,
    ( c_List_Olast(c_List_Oappend(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__append_1) ).

cnf(cls_length__tl_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__tl_0) ).

cnf(cls_mod__if_0,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = X1
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__if_0) ).

cnf(cls_last_Osimps_0,axiom,
    c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last_Osimps_0) ).

cnf(cls_distinct__remove1__removeAll_0,axiom,
    ( c_List_Oremove1(X1,X2,X3) = c_List_OremoveAll(X1,X2,X3)
    | ~ c_List_Odistinct(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remove1__removeAll_0) ).

cnf(cls_length__replicate_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__replicate_0) ).

cnf(cls_power__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | ~ class_Power_Opower(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__eq__0__iff_0) ).

cnf(cls_power__eq__0__iff_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | ~ class_Power_Opower(X1)
    | c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__eq__0__iff_1) ).

cnf(cls_hd__replicate_0,axiom,
    ( c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__replicate_0) ).

cnf(cls_last__replicate_0,axiom,
    ( c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__replicate_0) ).

cnf(cls_tl_Osimps_I2_J_0,axiom,
    c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl_Osimps_I2_J_0) ).

cnf(cls_hd_Osimps_0,axiom,
    c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd_Osimps_0) ).

cnf(cls_length__remdups__eq_0,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__remdups__eq_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).

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

cnf(cls_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).

cnf(cls_min__max_Oinf__commute_0,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X3,X1) = c_Orderings_Oord__class_Omin(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__commute_0) ).

cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).

cnf(cls_class__semiring_Oadd__c_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).

cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).

cnf(cls_replicate__eq__replicate_2,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__eq__replicate_2) ).

cnf(cls_neq__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_OCons(c_List_Osko__List__Xneq__Nil__conv__1__1(X1,X2),c_List_Osko__List__Xneq__Nil__conv__1__2(X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__Nil__conv_0) ).

cnf(cls_list_Oexhaust_0,axiom,
    ( X1 = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xexhaust__1__1(X1,X2),c_List_Osko__List__Xlist__Xexhaust__1__2(X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oexhaust_0) ).

cnf(cls_list_Onchotomy_0,axiom,
    ( X1 = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xnchotomy__1__1(X1,X2),c_List_Osko__List__Xlist__Xnchotomy__1__2(X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Onchotomy_0) ).

cnf(cls_not__one__le__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__le__zero_0) ).

cnf(cls_not__one__less__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__less__zero_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_0) ).

cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_0) ).

cnf(cls_nat__add__commute_0,axiom,
    c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).

cnf(cls_double__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_0) ).

cnf(cls_field__power__not__zero_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_field__power__not__zero_0) ).

cnf(cls_eq__iff__diff__eq__0_1,axiom,
    ( X2 = X3
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).

cnf(cls_take__eq__Nil_0,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__eq__Nil_0) ).

cnf(cls_length__greater__0__conv_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__greater__0__conv_1) ).

cnf(cls_append__is__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).

cnf(cls_rotate__is__Nil__conv_0,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Orotate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__is__Nil__conv_0) ).

cnf(cls_append__is__Nil__conv_1,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).

cnf(cls_Nil__is__append__conv_0,axiom,
    ( X2 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_0) ).

cnf(cls_Nil__is__append__conv_1,axiom,
    ( X3 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_1) ).

cnf(cls_power__eq__0__iff_2,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | ~ class_Power_Opower(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__eq__0__iff_2) ).

cnf(cls_replicate__empty_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__empty_0) ).

cnf(cls_empty__replicate_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Olist_ONil(X1) != c_List_Oreplicate(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__replicate_0) ).

cnf(cls_List_Omember_Osimps_I1_J_0,axiom,
    ~ c_List_Omember(X1,c_List_Olist_ONil(X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Omember_Osimps_I1_J_0) ).

cnf(cls_order__less__le_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).

cnf(cls_linorder__neq__iff_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_neq0__conv_1) ).

cnf(cls_append__self__conv2_0,axiom,
    ( X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__self__conv2_0) ).

cnf(cls_append__self__conv_0,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__self__conv_0) ).

cnf(cls_self__append__conv_0,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | X1 != c_List_Oappend(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_0) ).

cnf(cls_self__append__conv2_0,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | X1 != c_List_Oappend(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).

cnf(cls_list_Osimps_I3_J_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).

cnf(cls_neq__Nil__conv_1,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).

cnf(cls_list_Osimps_I2_J_0,axiom,
    c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).

cnf(cls_add__is__0_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_0) ).

cnf(cls_add__is__0_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_1) ).

cnf(cls_add__eq__self__zero_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__eq__self__zero_0) ).

cnf(cls_natgb_Oadd__r0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_gr__implies__not0_0) ).

cnf(cls_not__Cons__self2_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

cnf(cls_not__Cons__self_0,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).

cnf(cls_less__not__refl_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_1) ).

cnf(cls_power__0__left_1,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0__left_1) ).

cnf(cls_power__0__left_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0__left_0) ).

cnf(cls_double__eq__0__iff_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_1) ).

cnf(cls_distinct1__rotate_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct1__rotate_0) ).

cnf(cls_distinct__rev_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rev_0) ).

cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
    ( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_1) ).

cnf(cls_zero__le__one_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__one_0) ).

cnf(cls_zero__less__one_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__one_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/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_1) ).

cnf(cls_mod__0_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__0_0) ).

cnf(cls_power__one_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one_0) ).

cnf(cls_mod__by__1_0,axiom,
    ( c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__by__1_0) ).

cnf(cls_append__is__Nil__conv_2,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_2) ).

cnf(cls_Nil__is__append__conv_2,axiom,
    c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_2) ).

cnf(cls_sorted__remdups_0,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Oremdups(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__remdups_0) ).

cnf(cls_power__0_0,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Power_Opower(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0_0) ).

cnf(cls_class__semiring_Opwr__0_0,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_0) ).

cnf(cls_add__0__left_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__0__left_0) ).

cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I5_J_0) ).

cnf(cls_class__semiring_Oadd__0_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__0_0) ).

cnf(cls_comm__monoid__add_Omult__1_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1_0) ).

cnf(cls_mod__by__0_0,axiom,
    ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__by__0_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/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).

cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_0) ).

cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).

cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1__right_0) ).

cnf(cls_length__rotate1_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__rotate1_0) ).

cnf(cls_length__rev_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__rev_0) ).

cnf(cls_power__one__right_0,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one__right_0) ).

cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I33_J_0) ).

cnf(cls_mod__self_0,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__self_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/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_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/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_diff__self_0) ).

cnf(cls_list__inter_Osimps_I1_J_0,axiom,
    c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__inter_Osimps_I1_J_0) ).

cnf(cls_removeAll_Osimps_I1_J_0,axiom,
    c_List_OremoveAll(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_removeAll_Osimps_I1_J_0) ).

cnf(cls_remove1_Osimps_I1_J_0,axiom,
    c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Osimps_I1_J_0) ).

cnf(cls_rotate__is__Nil__conv_1,axiom,
    c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__is__Nil__conv_1) ).

cnf(cls_drop__Nil_0,axiom,
    c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Nil_0) ).

cnf(cls_take__eq__Nil_2,axiom,
    c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__eq__Nil_2) ).

cnf(cls_distinct1__rotate_1,axiom,
    ( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct1__rotate_1) ).

cnf(cls_distinct__rev_1,axiom,
    ( c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rev_1) ).

cnf(cls_min__max_Oinf__idem_0,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__idem_0) ).

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

cnf(cls_order__eq__refl_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

cnf(cls_add__is__0_2,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_2) ).

cnf(cls_replicate__empty_1,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__empty_1) ).

cnf(cls_take__0_0,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__0_0) ).

cnf(cls_empty__replicate_1,axiom,
    c_List_Olist_ONil(X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__replicate_1) ).

cnf(cls_splice_Osimps_I1_J_0,axiom,
    c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice_Osimps_I1_J_0) ).

cnf(cls_append__Nil_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil_0) ).

cnf(cls_splice__Nil2_0,axiom,
    c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice__Nil2_0) ).

cnf(cls_append__Nil2_0,axiom,
    c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil2_0) ).

cnf(cls_eq__Nil__appendI_0,axiom,
    X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).

cnf(cls_self__append__conv2_1,axiom,
    X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).

cnf(cls_self__append__conv_1,axiom,
    X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_1) ).

cnf(cls_eq__number__of_0,axiom,
    ( X2 = X3
    | ~ class_Int_Oring__char__0(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_Int_Onumber__class_Onumber__of(X2,X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__number__of_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/sandbox2/benchmark/theBenchmark.p',cls_gr0I_0) ).

cnf(cls_hd__rev_0,axiom,
    ( c_List_Ohd(c_List_Orev(X1,X2),X2) = c_List_Olast(X1,X2)
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__rev_0) ).

cnf(cls_last__rev_0,axiom,
    ( c_List_Olast(c_List_Orev(X1,X2),X2) = c_List_Ohd(X1,X2)
    | X1 = c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__rev_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/sandbox2/benchmark/theBenchmark.p',cls_diff__0__eq__0_0) ).

cnf(cls_min__0L_0,axiom,
    c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__0L_0) ).

cnf(cls_min__0R_0,axiom,
    c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__0R_0) ).

cnf(cls_drop__0_0,axiom,
    c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__0_0) ).

cnf(cls_plus__nat_Oadd__0_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_plus__nat_Oadd__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/sandbox2/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).

cnf(cls_Nat_Oadd__0__right_0,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0) ).

cnf(cls_natgb_Oadd__r0__iff_1,axiom,
    X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_diff__self__eq__0_0) ).

cnf(cls_rev__is__rev__conv_0,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__rev__conv_0) ).

cnf(cls_length__0__conv_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__0__conv_0) ).

cnf(cls_rev__rev__ident_0,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).

cnf(cls_rev__swap_1,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_1) ).

cnf(cls_rev__swap_0,axiom,
    X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_0) ).

cnf(cls_distinct__remdups_0,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).

cnf(cls_remdups__id__iff__distinct_0,axiom,
    ( c_List_Odistinct(X1,X2)
    | c_List_Oremdups(X1,X2) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__id__iff__distinct_0) ).

cnf(cls_distinct__remdups__id_0,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | ~ c_List_Odistinct(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remdups__id_0) ).

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

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

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

cnf(cls_rotate1__is__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate1__is__Nil__conv_0) ).

cnf(cls_remdups__eq__nil__iff_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_0) ).

cnf(cls_rev__is__Nil__conv_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_0) ).

cnf(cls_remdups__eq__nil__right__iff_0,axiom,
    ( X2 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Oremdups(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_0) ).

cnf(cls_Nil__is__rev__conv_0,axiom,
    ( X2 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Orev(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_0) ).

cnf(cls_length__0__conv_1,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__0__conv_1) ).

cnf(cls_empty__null_1,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | ~ c_List_Onull(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__null_1) ).

cnf(cls_sorted_Osimps_I1_J_0,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).

cnf(cls_tl_Osimps_I1_J_0,axiom,
    c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl_Osimps_I1_J_0) ).

cnf(cls_rotate__simps_0,axiom,
    c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__simps_0) ).

cnf(cls_remdups__eq__nil__iff_1,axiom,
    c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_1) ).

cnf(cls_rev__is__Nil__conv_1,axiom,
    c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).

cnf(cls_remdups__eq__nil__right__iff_1,axiom,
    c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_1) ).

cnf(cls_Nil__is__rev__conv_1,axiom,
    c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).

cnf(cls_distinct_Osimps_I1_J_0,axiom,
    c_List_Odistinct(c_List_Olist_ONil(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).

cnf(cls_empty__null_0,axiom,
    c_List_Onull(c_List_Olist_ONil(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__null_0) ).

cnf(cls_one__neq__zero_0,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).

cnf(cls_zero__neq__one_0,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__neq__one_0) ).

cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).

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

cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).

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

cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).

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

cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
    class_Int_Oring__char__0(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).

cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).

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

cnf(clsarity_Int__Oint__HOL_Oord,axiom,
    class_HOL_Oord(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__HOL_Oord) ).

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

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

cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
    class_Ring__and__Field_Omult__zero(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__zero) ).

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

cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors) ).

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

cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one) ).

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

cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors) ).

cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add) ).

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

cnf(clsarity_Int__Oint__Divides_Oring__div,axiom,
    class_Divides_Oring__div(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Oring__div) ).

cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__mult) ).

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

cnf(clsarity_Int__Oint__Power_Opower,axiom,
    class_Power_Opower(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Power_Opower) ).

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

cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring__0) ).

cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__0) ).

cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom,
    class_Divides_Osemiring__div(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Osemiring__div) ).

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

cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).

cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).

cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).

cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
    class_Ring__and__Field_Oidom(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).

cnf(clsarity_Int__Oint__Int_Onumber,axiom,
    class_Int_Onumber(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber) ).

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

cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).

cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
    class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__idom) ).

cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).

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

cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

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

cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).

cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

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

cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add) ).

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

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

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

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

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

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

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

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

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

cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) ).

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

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_CHAINED_0_02,axiom,
    v_c____ != v_d____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

cnf(i_0_673,axiom,
    c_List_Obutlast(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = c_List_Obutlast(X1,X2),
    cls_butlast__list__update_0 ).

cnf(i_0_674,axiom,
    c_List_Obutlast(X1,X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
    cls_butlast__conv__take_0 ).

cnf(i_0_675,axiom,
    ( c_List_Obutlast(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Obutlast(X1,X4),X2,X3,X4)
    | X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    cls_butlast__list__update_1 ).

cnf(i_0_676,axiom,
    c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
    cls_butlast__snoc_0 ).

cnf(i_0_677,axiom,
    ( c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)
    | X2 = c_List_Olist_ONil(X3) ),
    cls_butlast_Osimps_I2_J_1 ).

cnf(i_0_678,axiom,
    ( c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(X1,c_List_Obutlast(X2,X3),X3)
    | X2 = c_List_Olist_ONil(X3) ),
    cls_butlast__append_1 ).

cnf(i_0_679,axiom,
    ( c_List_Olist__update(X1,X2,X3,X4) = c_List_Oappend(c_List_Otake(X2,X1,X4),c_List_Olist_OCons(X3,c_List_Odrop(c_Suc(X2),X1,X4),X4),X4)
    | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    cls_upd__conv__take__nth__drop_0 ).

cnf(i_0_680,axiom,
    c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    cls_Suc__eq__plus1_0 ).

cnf(i_0_681,axiom,
    c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3),
    cls_butlast__drop_0 ).

cnf(i_0_682,axiom,
    c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
    cls_drop__butlast_0 ).

cnf(i_0_683,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X4),X1),c_Power_Opower__class_Opower(X3,c_Suc(X4),X1),X1) ),
    cls_power__le__imp__le__base_0 ).

cnf(i_0_684,axiom,
    c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
    cls_butlast__append_0 ).

cnf(i_0_685,axiom,
    ( c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(X1,X2,X3),X3),c_List_Olist_ONil(X3),X3),X3) = c_List_Otake(c_Suc(X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_take__hd__drop_0 ).

cnf(i_0_686,axiom,
    c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X5,X3) = c_List_Olist_OCons(X1,c_List_Olist__update(X2,X4,X5,X3),X3),
    cls_list__update__code_I3_J_0 ).

cnf(i_0_687,axiom,
    c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
    cls_butlast_Osimps_I2_J_0 ).

cnf(i_0_688,axiom,
    ( c_List_Otake(X1,c_List_Obutlast(X2,X3),X3) = c_List_Otake(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_take__butlast_0 ).

cnf(i_0_689,axiom,
    ( X2 = X4
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,c_Suc(X3),X1) != c_Power_Opower__class_Opower(X4,c_Suc(X3),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_power__inject__base_0 ).

cnf(i_0_690,axiom,
    ( c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1
    | X1 = c_List_Olist_ONil(X2) ),
    cls_append__butlast__last__id_0 ).

cnf(i_0_691,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 ).

cnf(i_0_692,axiom,
    c_Nat_Osize__class_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    cls_length__butlast_0 ).

cnf(i_0_693,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_power__Suc__less__one_0 ).

cnf(i_0_694,axiom,
    c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),X2,tc_nat),
    cls_mod__Suc__eq__Suc__mod_0 ).

cnf(i_0_695,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    cls_power__gt1_0 ).

cnf(i_0_696,axiom,
    ( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))
    | c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) = X2 ),
    cls_mod__Suc_1 ).

cnf(i_0_697,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 ).

cnf(i_0_698,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 ).

cnf(i_0_699,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 ).

cnf(i_0_700,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_add__eq__if_1 ).

cnf(i_0_701,axiom,
    c_Orderings_Oord__class_Omin(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(X1,X2,tc_nat)),
    cls_min__Suc__Suc_0 ).

cnf(i_0_702,axiom,
    c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
    cls_take__Suc__Cons_0 ).

cnf(i_0_703,axiom,
    c_List_Otake(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Otake(c_Suc(X1),X2,X3),X3),
    cls_take__tl_0 ).

cnf(i_0_704,axiom,
    ( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) != X2 ),
    cls_mod__Suc_0 ).

cnf(i_0_705,axiom,
    ( c_List_Otake(c_Suc(X1),X2,X3) = c_List_Olist_OCons(c_List_Ohd(X2,X3),c_List_Otake(X1,c_List_Otl(X2,X3),X3),X3)
    | X2 = c_List_Olist_ONil(X3) ),
    cls_take__Suc_0 ).

cnf(i_0_706,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
    cls_less__add__Suc1_0 ).

cnf(i_0_707,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
    cls_less__iff__Suc__add_1 ).

cnf(i_0_708,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
    cls_less__add__Suc2_0 ).

cnf(i_0_709,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 ).

cnf(i_0_710,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 ).

cnf(i_0_711,axiom,
    ( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat) ),
    cls_expand__Suc_0 ).

cnf(i_0_712,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 ).

cnf(i_0_713,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    cls_list_Osize_I4_J_0 ).

cnf(i_0_714,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 ).

cnf(i_0_715,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 ).

cnf(i_0_716,axiom,
    c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),
    cls_add__Suc__shift_0 ).

cnf(i_0_717,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),
    cls_diff__Suc__eq__diff__pred_0 ).

cnf(i_0_718,axiom,
    c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
    cls_drop__Suc__Cons_0 ).

cnf(i_0_719,axiom,
    c_List_Oreplicate(c_Suc(X1),X2,X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    cls_replicate__Suc_0 ).

cnf(i_0_720,axiom,
    c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
    cls_add__Suc_0 ).

cnf(i_0_721,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
    cls_add__Suc__right_0 ).

cnf(i_0_722,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 ).

cnf(i_0_723,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 ).

cnf(i_0_724,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 ).

cnf(i_0_725,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 ).

cnf(i_0_726,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 ).

cnf(i_0_727,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    cls_one__is__add_1 ).

cnf(i_0_728,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    cls_add__is__1_1 ).

cnf(i_0_729,axiom,
    c_List_Orotate(c_Suc(X1),X2,X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
    cls_rotate__Suc_0 ).

cnf(i_0_730,axiom,
    c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    cls_butlast_Osimps_I1_J_0 ).

cnf(i_0_731,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 ).

cnf(i_0_732,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 ).

cnf(i_0_733,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    cls_Suc__diff__1_0 ).

cnf(i_0_734,axiom,
    ( X1 = c_Suc(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    cls_Suc__pred_H_0 ).

cnf(i_0_735,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 ).

cnf(i_0_736,axiom,
    c_List_Odrop(c_Suc(X1),X2,X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
    cls_drop__Suc_0 ).

cnf(i_0_737,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    cls_one__is__add_0 ).

cnf(i_0_738,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    cls_one__is__add_3 ).

cnf(i_0_739,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    cls_add__is__1_0 ).

cnf(i_0_740,axiom,
    ( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    cls_add__is__1_3 ).

cnf(i_0_741,axiom,
    c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    cls_add__is__1_4 ).

cnf(i_0_742,axiom,
    c_HOL_Oplus__class_Oplus(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)),
    cls_add__is__1_5 ).

cnf(i_0_743,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    cls_one__is__add_4 ).

cnf(i_0_744,axiom,
    c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    cls_one__is__add_5 ).

cnf(i_0_745,axiom,
    c_Suc(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X3,X1,X2),tc_List_Olist(X2)),
    cls_Suc__length__conv_2 ).

cnf(i_0_746,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_Suc(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))),
    cls_length__Suc__conv_2 ).

cnf(i_0_747,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 ).

cnf(i_0_748,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 ).

cnf(i_0_749,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1) ),
    cls_power__0__Suc_0 ).

cnf(i_0_750,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    cls_one__is__add_2 ).

cnf(i_0_751,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
    cls_add__is__1_2 ).

cnf(i_0_752,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__nonneg__eq__0__iff_2 ).

cnf(i_0_753,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_nat_Oinject_0 ).

cnf(i_0_754,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Suc__inject_0 ).

cnf(i_0_755,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 ).

cnf(i_0_756,axiom,
    ( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Suc(c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)))
    | X1 = c_List_Olist_ONil(X2) ),
    cls_Nitpick_Olist__size__simp_I2_J_1 ).

cnf(i_0_757,axiom,
    c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_mod__1_0 ).

cnf(i_0_758,axiom,
    c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1,
    cls_diff__Suc__1_0 ).

cnf(i_0_759,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    cls_gr0__conv__Suc_1 ).

cnf(i_0_760,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    cls_zero__less__Suc_0 ).

cnf(i_0_761,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    cls_less__Suc__eq_2 ).

cnf(i_0_762,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    cls_lessI_0 ).

cnf(i_0_763,axiom,
    c_Suc(X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),
    cls_Suc__eq__plus1__left_0 ).

cnf(i_0_764,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_Suc__neq__Zero_0 ).

cnf(i_0_765,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    cls_nat_Osimps_I3_J_0 ).

cnf(i_0_766,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_nat_Osimps_I2_J_0 ).

cnf(i_0_767,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    cls_Zero__neq__Suc_0 ).

cnf(i_0_768,axiom,
    c_Suc(X1) != X1,
    cls_Suc__n__not__n_0 ).

cnf(i_0_769,axiom,
    X1 != c_Suc(X1),
    cls_n__not__Suc__n_0 ).

cnf(i_0_770,axiom,
    c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    cls_One__nat__def_0 ).

cnf(i_0_771,axiom,
    c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),v_h____,v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_CHAINED_0_01,
    [final] ).

cnf(i_0_772,plain,
    c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_673,c_0_674]),c_0_674]),
    [final] ).

cnf(i_0_773,plain,
    ( X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X4),X2,X3,X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_675,c_0_674]),c_0_674]),
    [final] ).

cnf(i_0_774,axiom,
    ( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
    | c_List_Olist_OCons(X1,X2,X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    cls_Cons__eq__append__conv_2,
    [final] ).

cnf(i_0_775,axiom,
    ( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
    | c_List_Olist_OCons(X1,X2,X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    cls_Cons__eq__append__conv_3,
    [final] ).

cnf(i_0_776,axiom,
    ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
    | X2 = c_List_Olist_OCons(X4,X5,X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_append__eq__Cons__conv_3,
    [final] ).

cnf(i_0_777,axiom,
    ( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
    | X2 = c_List_Olist_OCons(X4,X5,X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_append__eq__Cons__conv_2,
    [final] ).

cnf(i_0_778,axiom,
    ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
    | X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_append__eq__Cons__conv_1,
    [final] ).

cnf(i_0_779,axiom,
    ( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
    | X4 = c_List_Olist_ONil(X3)
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    cls_Cons__eq__append__conv_0,
    [final] ).

cnf(i_0_780,axiom,
    ( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
    | X4 = c_List_Olist_ONil(X3)
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
    cls_Cons__eq__append__conv_1,
    [final] ).

cnf(i_0_781,axiom,
    ( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
    | X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_append__eq__Cons__conv_0,
    [final] ).

cnf(i_0_782,axiom,
    ( c_List_Oappend(X3,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) = c_List_Oappend(X1,X4,X2)
    | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) != X4
    | c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
    | X3 != c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) ),
    cls_append__eq__append__conv__if_6,
    [final] ).

cnf(i_0_783,plain,
    c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
    inference(rw,[status(thm)],[i_0_676,c_0_674]),
    [final] ).

cnf(i_0_784,axiom,
    ( c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X5,X6,X4) = c_List_Olist__update(c_List_Olist__update(X1,X5,X6,X4),X2,X3,X4)
    | X2 = X5 ),
    cls_list__update__swap_0,
    [final] ).

cnf(i_0_785,axiom,
    ( c_List_Orev(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Orev(X1,X4),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    cls_rev__update_0,
    [final] ).

cnf(i_0_786,axiom,
    ( c_List_Olist__update(c_List_Oappend(X1,X2,X3),X4,X5,X3) = c_List_Oappend(X1,c_List_Olist__update(X2,c_HOL_Ominus__class_Ominus(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat),X5,X3),X3)
    | c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    cls_list__update__append_1,
    [final] ).

cnf(i_0_787,plain,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_677,c_0_674]),c_0_674]),
    [final] ).

cnf(i_0_788,plain,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Oappend(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_678,c_0_674]),c_0_674]),
    [final] ).

cnf(i_0_789,plain,
    ( c_List_Olist__update(X1,X2,X3,X4) = c_List_Oappend(c_List_Otake(X2,X1,X4),c_List_Olist_OCons(X3,c_List_Odrop(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X4),X4),X4)
    | ~ c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat) ),
    inference(rw,[status(thm)],[i_0_679,c_0_680]),
    [final] ).

cnf(i_0_790,plain,
    c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_681,c_0_674]),c_0_674]),
    [final] ).

cnf(i_0_791,plain,
    c_List_Odrop(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Odrop(X1,X2,X3),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_682,c_0_674]),c_0_674]),
    [final] ).

cnf(i_0_792,axiom,
    c_List_Orotate(X1,c_List_Orev(X2,X3),X3) = c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),tc_nat),X2,X3),X3),
    cls_rotate__rev_0,
    [final] ).

cnf(i_0_793,plain,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1),c_Power_Opower__class_Opower(X3,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_683,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_794,negated_conjecture,
    ( v_thesis____
    | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    cls_conjecture_1,
    [final] ).

cnf(i_0_795,axiom,
    ( v_thesis____
    | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    cls_that_0,
    [final] ).

cnf(i_0_796,plain,
    c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_684,c_0_674]),c_0_674]),
    [final] ).

cnf(i_0_797,plain,
    ( c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(X1,X2,X3),X3),c_List_Olist_ONil(X3),X3),X3) = c_List_Otake(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(rw,[status(thm)],[i_0_685,c_0_680]),
    [final] ).

cnf(i_0_798,axiom,
    ( c_List_Olist__update(c_List_Oappend(X1,X2,X3),X4,X5,X3) = c_List_Oappend(c_List_Olist__update(X1,X4,X5,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    cls_list__update__append_0,
    [final] ).

cnf(i_0_799,axiom,
    ( c_List_Olist__update(c_List_Oappend(X1,X2,X3),X4,X5,X3) = c_List_Oappend(c_List_Olist__update(X1,X4,X5,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat) ),
    cls_list__update__append1_0,
    [final] ).

cnf(i_0_800,axiom,
    c_List_Orotate(X1,X2,X3) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),c_List_Otake(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),X3),
    cls_rotate__drop__take_0,
    [final] ).

cnf(i_0_801,plain,
    c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X5,X3) = c_List_Olist_OCons(X1,c_List_Olist__update(X2,X4,X5,X3),X3),
    inference(rw,[status(thm)],[i_0_686,c_0_680]),
    [final] ).

cnf(i_0_802,axiom,
    c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
    cls_list__update__overwrite_0,
    [final] ).

cnf(i_0_803,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__CHAINED__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | X1 = X2 ),
    cls_CHAINED_0,
    [final] ).

cnf(i_0_804,axiom,
    ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X1,X2),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | X1 = X2 ),
    cls_third__alt_0,
    [final] ).

cnf(i_0_805,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = X3 ),
    cls_last__list__update_0,
    [final] ).

cnf(i_0_806,plain,
    c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
    inference(rw,[status(thm)],[i_0_687,c_0_674]),
    [final] ).

cnf(i_0_807,axiom,
    c_List_Odrop(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    cls_drop__append_0,
    [final] ).

cnf(i_0_808,axiom,
    c_List_Otake(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Otake(X1,X2,X4),c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
    cls_take__append_0,
    [final] ).

cnf(i_0_809,axiom,
    c_List_Olist__update(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X5,X4) = c_List_Oappend(X1,c_List_Olist_OCons(X5,X3,X4),X4),
    cls_list__update__length_0,
    [final] ).

cnf(i_0_810,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Oring__div(X1) ),
    cls_mod__diff__eq_0,
    [final] ).

cnf(i_0_811,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__add__eq_0,
    [final] ).

cnf(i_0_812,axiom,
    c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    cls_alt3_0,
    [final] ).

cnf(i_0_813,plain,
    ( c_List_Otake(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(rw,[status(thm)],[i_0_688,c_0_674]),
    [final] ).

cnf(i_0_814,plain,
    ( X2 = X4
    | c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1) != c_Power_Opower__class_Opower(X4,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_689,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_815,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
    inference(rw,[status(thm)],[i_0_690,c_0_674]),
    [final] ).

cnf(i_0_816,axiom,
    ( c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(c_List_Ohd(X4,X3),c_List_Osplice(X2,c_List_Otl(X4,X3),X3),X3),X3)
    | X4 = c_List_Olist_ONil(X3) ),
    cls_splice_Osimps_I2_J_1,
    [final] ).

cnf(i_0_817,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)
    | ~ class_Divides_Oring__div(X1)
    | c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
    | c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
    cls_mod__diff__cong_0,
    [final] ).

cnf(i_0_818,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X6,X4,X1),X3,X1)
    | ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
    | c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
    cls_mod__add__cong_0,
    [final] ).

cnf(i_0_819,axiom,
    ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_take__Cons__number__of_1,
    [final] ).

cnf(i_0_820,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X4,c_List_Olist_OCons(X2,X3,X1),X1),X1) ),
    cls_sorted_Osimps_I3_J_1,
    [final] ).

cnf(i_0_821,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_691,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_822,axiom,
    c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3) = c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3),
    cls_replicate__app__Cons__same_0,
    [final] ).

cnf(i_0_823,axiom,
    c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
    cls_splice__Cons__Cons_0,
    [final] ).

cnf(i_0_824,axiom,
    ( c_List_Olast(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olast(X1,X4)
    | X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | X1 = c_List_Olist_ONil(X4) ),
    cls_last__list__update_1,
    [final] ).

cnf(i_0_825,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X4,X1),X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_sorted_Osimps_I3_J_2,
    [final] ).

cnf(i_0_826,plain,
    c_Nat_Osize__class_Osize(c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_692,c_0_674]),
    [final] ).

cnf(i_0_827,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1) ),
    cls_sorted_Osimps_I3_J_0,
    [final] ).

cnf(i_0_828,plain,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(rw,[status(thm)],[i_0_693,c_0_680]),
    [final] ).

cnf(i_0_829,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1) ),
    cls_power__less__imp__less__base_0,
    [final] ).

cnf(i_0_830,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1) ),
    cls_power__less__imp__less__exp_0,
    [final] ).

cnf(i_0_831,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1) ),
    cls_power__strict__increasing__iff_0,
    [final] ).

cnf(i_0_832,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,tc_nat) ),
    cls_power__strict__decreasing_0,
    [final] ).

cnf(i_0_833,axiom,
    ( X1 = X4
    | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
    cls_append1__eq__conv_0,
    [final] ).

cnf(i_0_834,axiom,
    ( X2 = X5
    | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
    cls_append1__eq__conv_1,
    [final] ).

cnf(i_0_835,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_power__strict__mono_0,
    [final] ).

cnf(i_0_836,axiom,
    ( c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_take__Cons_H_1,
    [final] ).

cnf(i_0_837,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I20_J_0,
    [final] ).

cnf(i_0_838,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_zmod__simps_I1_J_0,
    [final] ).

cnf(i_0_839,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_zmod__simps_I2_J_0,
    [final] ).

cnf(i_0_840,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
    | ~ class_Divides_Oring__div(X1) ),
    cls_mod__diff__left__eq_0,
    [final] ).

cnf(i_0_841,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__add__left__eq_0,
    [final] ).

cnf(i_0_842,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Oring__div(X1) ),
    cls_mod__diff__right__eq_0,
    [final] ).

cnf(i_0_843,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__add__right__eq_0,
    [final] ).

cnf(i_0_844,axiom,
    c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3) = c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3),
    cls_append__replicate__commute_0,
    [final] ).

cnf(i_0_845,plain,
    c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_694,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_846,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),
    cls_length__list__update_0,
    [final] ).

cnf(i_0_847,axiom,
    c_List_Otake(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(X2,c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),X4),
    cls_take__drop_0,
    [final] ).

cnf(i_0_848,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X5,X4,X1)
    | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
    cls_le__add__right__mono_0,
    [final] ).

cnf(i_0_849,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    inference(rw,[status(thm)],[i_0_695,c_0_680]),
    [final] ).

cnf(i_0_850,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    cls_add__le__cancel__right_0,
    [final] ).

cnf(i_0_851,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    cls_add__le__cancel__left_0,
    [final] ).

cnf(i_0_852,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    cls_add__less__cancel__right_0,
    [final] ).

cnf(i_0_853,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    cls_add__less__cancel__left_0,
    [final] ).

cnf(i_0_854,plain,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_696,c_0_680]),c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_855,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_697,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_856,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_698,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_857,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(rw,[status(thm)],[i_0_699,c_0_680]),
    [final] ).

cnf(i_0_858,axiom,
    c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
    cls_rev__eq__Cons__iff_1,
    [final] ).

cnf(i_0_859,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
    cls_nat__add__left__cancel__less_0,
    [final] ).

cnf(i_0_860,axiom,
    ( X2 = X4
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Power_Opower__class_Opower(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_power__eq__imp__eq__base_0,
    [final] ).

cnf(i_0_861,axiom,
    ( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_power__mono_0,
    [final] ).

cnf(i_0_862,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat) ),
    cls_power__strict__increasing_0,
    [final] ).

cnf(i_0_863,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    cls_power__strict__increasing__iff_1,
    [final] ).

cnf(i_0_864,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__mono_0,
    [final] ).

cnf(i_0_865,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__less__le__mono_0,
    [final] ).

cnf(i_0_866,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__le__less__mono_0,
    [final] ).

cnf(i_0_867,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__strict__mono_0,
    [final] ).

cnf(i_0_868,axiom,
    c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    cls_replicate__append__same_0,
    [final] ).

cnf(i_0_869,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    cls_min__diff__distrib__left_0,
    [final] ).

cnf(i_0_870,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    cls_min__add__distrib__left_0,
    [final] ).

cnf(i_0_871,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_700,c_0_680]),
    [final] ).

cnf(i_0_872,plain,
    c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_701,c_0_680]),c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_873,plain,
    c_List_Otake(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
    inference(rw,[status(thm)],[i_0_702,c_0_680]),
    [final] ).

cnf(i_0_874,axiom,
    c_List_OremoveAll(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_OremoveAll(X1,X2,X4),c_List_OremoveAll(X1,X3,X4),X4),
    cls_removeAll__append_0,
    [final] ).

cnf(i_0_875,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_876,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    cls_add__less__mono_0,
    [final] ).

cnf(i_0_877,axiom,
    c_List_Oreplicate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) = c_List_Oappend(c_List_Oreplicate(X1,X3,X4),c_List_Oreplicate(X2,X3,X4),X4),
    cls_replicate__add_0,
    [final] ).

cnf(i_0_878,axiom,
    c_List_Odrop(X1,c_List_Otake(X2,X3,X4),X4) = c_List_Otake(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_List_Odrop(X1,X3,X4),X4),
    cls_drop__take_0,
    [final] ).

cnf(i_0_879,plain,
    c_List_Otake(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Otake(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3),
    inference(rw,[status(thm)],[i_0_703,c_0_680]),
    [final] ).

cnf(i_0_880,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != X2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_704,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_881,axiom,
    c_Orderings_Oord__class_Omin(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(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat),
    cls_min__diff_0,
    [final] ).

cnf(i_0_882,axiom,
    c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),X4,X3) = c_List_Olist_OCons(X4,X2,X3),
    cls_list__update__code_I2_J_0,
    [final] ).

cnf(i_0_883,axiom,
    ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_drop__Cons__number__of_1,
    [final] ).

cnf(i_0_884,plain,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Otake(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) = c_List_Olist_OCons(c_List_Ohd(X2,X3),c_List_Otake(X1,c_List_Otl(X2,X3),X3),X3) ),
    inference(rw,[status(thm)],[i_0_705,c_0_680]),
    [final] ).

cnf(i_0_885,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) ),
    cls_less__diff__conv_0,
    [final] ).

cnf(i_0_886,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
    cls_less__diff__conv_1,
    [final] ).

cnf(i_0_887,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
    cls_add__cancel__21_0,
    [final] ).

cnf(i_0_888,axiom,
    ( X1 = c_List_Olist_ONil(X4)
    | c_List_Olist__update(X1,X2,X3,X4) != c_List_Olist_ONil(X4) ),
    cls_list__update__nonempty_0,
    [final] ).

cnf(i_0_889,axiom,
    ( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
    | X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) ),
    cls_append__eq__conv__conj_2,
    [final] ).

cnf(i_0_890,axiom,
    c_List_Orev(c_List_Odrop(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
    cls_rev__drop_0,
    [final] ).

cnf(i_0_891,axiom,
    c_List_Orev(c_List_Otake(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
    cls_rev__take_0,
    [final] ).

cnf(i_0_892,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
    cls_min__le__iff__disj_0,
    [final] ).

cnf(i_0_893,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(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
    cls_min__less__iff__disj_0,
    [final] ).

cnf(i_0_894,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_706,c_0_680]),
    [final] ).

cnf(i_0_895,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_707,c_0_680]),
    [final] ).

cnf(i_0_896,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_708,c_0_680]),
    [final] ).

cnf(i_0_897,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__nonpos__nonpos_0,
    [final] ).

cnf(i_0_898,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__neg__nonpos_0,
    [final] ).

cnf(i_0_899,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__nonpos__neg_0,
    [final] ).

cnf(i_0_900,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__neg__neg_0,
    [final] ).

cnf(i_0_901,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__nonneg_0,
    [final] ).

cnf(i_0_902,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__pos__nonneg_0,
    [final] ).

cnf(i_0_903,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__pos_0,
    [final] ).

cnf(i_0_904,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__pos__pos_0,
    [final] ).

cnf(i_0_905,axiom,
    ( 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_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
    cls_add__gr__0_0,
    [final] ).

cnf(i_0_906,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_add__left__mono_0,
    [final] ).

cnf(i_0_907,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_add__le__cancel__left_1,
    [final] ).

cnf(i_0_908,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__right__mono_0,
    [final] ).

cnf(i_0_909,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__le__cancel__right_1,
    [final] ).

cnf(i_0_910,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_add__less__cancel__left_1,
    [final] ).

cnf(i_0_911,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_add__strict__left__mono_0,
    [final] ).

cnf(i_0_912,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__less__cancel__right_1,
    [final] ).

cnf(i_0_913,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__strict__right__mono_0,
    [final] ).

cnf(i_0_914,axiom,
    c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
    cls_last__snoc_0,
    [final] ).

cnf(i_0_915,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    cls_one__less__power_0,
    [final] ).

cnf(i_0_916,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_add__increasing2_0,
    [final] ).

cnf(i_0_917,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_add__increasing_0,
    [final] ).

cnf(i_0_918,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_add__strict__increasing_0,
    [final] ).

cnf(i_0_919,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_add__strict__increasing2_0,
    [final] ).

cnf(i_0_920,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_709,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_921,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_710,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_922,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_pos__add__strict_0,
    [final] ).

cnf(i_0_923,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ class_Int_Onumber(X1)
    | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
    | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
    cls_le__number__of__eq__not__less_0,
    [final] ).

cnf(i_0_924,plain,
    ( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_711,c_0_680]),
    [final] ).

cnf(i_0_925,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    cls_nat__add__left__cancel__less_1,
    [final] ).

cnf(i_0_926,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    cls_add__less__mono1_0,
    [final] ).

cnf(i_0_927,axiom,
    ( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),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_928,axiom,
    ( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),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_929,axiom,
    ( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),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_930,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),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_931,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_712,c_0_680]),
    [final] ).

cnf(i_0_932,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_933,plain,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_713,c_0_680]),
    [final] ).

cnf(i_0_934,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    cls_zero__le__double__add__iff__zero__le__single__add_0,
    [final] ).

cnf(i_0_935,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    cls_zero__less__double__add__iff__zero__less__single__add_0,
    [final] ).

cnf(i_0_936,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__le__zero__iff__single__add__le__zero_0,
    [final] ).

cnf(i_0_937,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(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_even__less__0__iff_0,
    [final] ).

cnf(i_0_938,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__less__zero__iff__single__less__zero_0,
    [final] ).

cnf(i_0_939,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(rw,[status(thm)],[i_0_714,c_0_680]),
    [final] ).

cnf(i_0_940,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I23_J_0,
    [final] ).

cnf(i_0_941,axiom,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__assoc_0,
    [final] ).

cnf(i_0_942,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,
    [final] ).

cnf(i_0_943,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I21_J_0,
    [final] ).

cnf(i_0_944,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__assoc_0,
    [final] ).

cnf(i_0_945,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I25_J_0,
    [final] ).

cnf(i_0_946,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__a_0,
    [final] ).

cnf(i_0_947,axiom,
    ( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) = c_Orderings_Oord__class_Omin(X3,c_Orderings_Oord__class_Omin(X2,X4,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__left__commute_0,
    [final] ).

cnf(i_0_948,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I22_J_0,
    [final] ).

cnf(i_0_949,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_add__cancel__21_1,
    [final] ).

cnf(i_0_950,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__left__commute_0,
    [final] ).

cnf(i_0_951,axiom,
    ( c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_drop__Cons_H_1,
    [final] ).

cnf(i_0_952,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_953,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_954,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_715,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_955,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_716,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_956,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),
    inference(rw,[status(thm)],[i_0_717,c_0_680]),
    [final] ).

cnf(i_0_957,plain,
    c_List_Odrop(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
    inference(rw,[status(thm)],[i_0_718,c_0_680]),
    [final] ).

cnf(i_0_958,plain,
    c_List_Oreplicate(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
    inference(rw,[status(thm)],[i_0_719,c_0_680]),
    [final] ).

cnf(i_0_959,axiom,
    ( c_List_OremoveAll(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OremoveAll(X1,X3,X4),X4)
    | X1 = X2 ),
    cls_removeAll_Osimps_I2_J_1,
    [final] ).

cnf(i_0_960,axiom,
    ( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
    | X1 = X2 ),
    cls_remove1_Osimps_I2_J_1,
    [final] ).

cnf(i_0_961,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_720,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_962,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_721,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_963,axiom,
    c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
    cls_append__eq__Cons__conv_5,
    [final] ).

cnf(i_0_964,axiom,
    c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
    cls_append__Cons_0,
    [final] ).

cnf(i_0_965,axiom,
    c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
    cls_append__eq__append__conv2_4,
    [final] ).

cnf(i_0_966,axiom,
    c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
    cls_append__assoc_0,
    [final] ).

cnf(i_0_967,axiom,
    c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
    cls_Cons__eq__append__conv_5,
    [final] ).

cnf(i_0_968,axiom,
    c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
    cls_Cons__eq__appendI_0,
    [final] ).

cnf(i_0_969,axiom,
    c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
    cls_append__eq__append__conv2_5,
    [final] ).

cnf(i_0_970,axiom,
    c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
    cls_append__eq__appendI_0,
    [final] ).

cnf(i_0_971,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
    cls_rev_Osimps_I2_J_0,
    [final] ).

cnf(i_0_972,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_973,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_974,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_975,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_976,axiom,
    c_List_Orotate(X1,c_List_Orotate(X2,X3,X4),X4) = c_List_Orotate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
    cls_rotate__rotate_0,
    [final] ).

cnf(i_0_977,axiom,
    c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,X4),
    cls_drop__replicate_0,
    [final] ).

cnf(i_0_978,axiom,
    c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
    cls_drop__drop_0,
    [final] ).

cnf(i_0_979,axiom,
    c_List_Otake(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X3,X4),
    cls_take__replicate_0,
    [final] ).

cnf(i_0_980,axiom,
    c_List_Otake(X1,c_List_Otake(X2,X3,X4),X4) = c_List_Otake(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X3,X4),
    cls_take__take_0,
    [final] ).

cnf(i_0_981,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
    cls_min__max_Ole__inf__iff_0,
    [final] ).

cnf(i_0_982,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
    cls_min__max_Ole__infE_0,
    [final] ).

cnf(i_0_983,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
    cls_min__max_Ole__inf__iff_1,
    [final] ).

cnf(i_0_984,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
    cls_min__max_Ole__infE_1,
    [final] ).

cnf(i_0_985,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
    cls_min__less__iff__conj_0,
    [final] ).

cnf(i_0_986,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
    cls_min__less__iff__conj_1,
    [final] ).

cnf(i_0_987,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),
    cls_diff__cancel_0,
    [final] ).

cnf(i_0_988,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),
    cls_diff__cancel2_0,
    [final] ).

cnf(i_0_989,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_990,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
    cls_diff__diff__left_0,
    [final] ).

cnf(i_0_991,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
    cls_nat__add__assoc_0,
    [final] ).

cnf(i_0_992,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
    cls_nat__add__left__commute_0,
    [final] ).

cnf(i_0_993,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_722,c_0_680]),
    [final] ).

cnf(i_0_994,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_723,c_0_680]),
    [final] ).

cnf(i_0_995,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_724,c_0_680]),
    [final] ).

cnf(i_0_996,axiom,
    ( c_List_Omember(X1,X2,X3)
    | X1 = X4
    | ~ c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
    cls_List_Omember_Osimps_I2_J_0,
    [final] ).

cnf(i_0_997,axiom,
    c_List_Otl(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(X2,X3),X3),
    cls_tl__take_0,
    [final] ).

cnf(i_0_998,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_725,c_0_680]),
    [final] ).

cnf(i_0_999,axiom,
    ( X1 = c_List_Oappend(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    cls_rev__eq__Cons__iff_0,
    [final] ).

cnf(i_0_1000,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_1001,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_726,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1002,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
    cls_less__add__eq__less_0,
    [final] ).

cnf(i_0_1003,axiom,
    ( c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
    | ~ class_Int_Onumber(X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) ),
    cls_min__number__of_0,
    [final] ).

cnf(i_0_1004,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
    cls_add__lessD1_0,
    [final] ).

cnf(i_0_1005,plain,
    ( X2 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_727,c_0_680]),c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1006,plain,
    ( X2 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_728,c_0_680]),c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1007,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__eq__0__iff_0,
    [final] ).

cnf(i_0_1008,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__eq__0__iff_1,
    [final] ).

cnf(i_0_1009,axiom,
    c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
    cls_rotate__simps_1,
    [final] ).

cnf(i_0_1010,axiom,
    ( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_tl__replicate_0,
    [final] ).

cnf(i_0_1011,axiom,
    c_List_Orotate(X1,X2,X3) = c_List_Orotate(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),
    cls_rotate__conv__mod_0,
    [final] ).

cnf(i_0_1012,plain,
    c_List_Orotate(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
    inference(rw,[status(thm)],[i_0_729,c_0_680]),
    [final] ).

cnf(i_0_1013,axiom,
    ( c_List_Olast(c_List_Odrop(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    cls_last__drop_0,
    [final] ).

cnf(i_0_1014,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_Power_Opower__class_Opower(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    cls_power__inject__exp_0,
    [final] ).

cnf(i_0_1015,plain,
    c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(rw,[status(thm)],[i_0_730,c_0_674]),
    [final] ).

cnf(i_0_1016,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__le__zero__iff__single__add__le__zero_1,
    [final] ).

cnf(i_0_1017,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_even__less__0__iff_1,
    [final] ).

cnf(i_0_1018,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__less__zero__iff__single__less__zero_1,
    [final] ).

cnf(i_0_1019,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__le__double__add__iff__zero__le__single__add_1,
    [final] ).

cnf(i_0_1020,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__le__power_0,
    [final] ).

cnf(i_0_1021,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    cls_one__le__power_0,
    [final] ).

cnf(i_0_1022,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__less__double__add__iff__zero__less__single__add_1,
    [final] ).

cnf(i_0_1023,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__less__power_0,
    [final] ).

cnf(i_0_1024,axiom,
    ( c_List_Orotate1(X1,X2) = c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    cls_rotate1__hd__tl_0,
    [final] ).

cnf(i_0_1025,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_731,c_0_680]),
    [final] ).

cnf(i_0_1026,axiom,
    c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    cls_append__take__drop__id_0,
    [final] ).

cnf(i_0_1027,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_732,c_0_680]),
    [final] ).

cnf(i_0_1028,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_mod__if_1,
    [final] ).

cnf(i_0_1029,axiom,
    ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_drop__Cons__number__of_0,
    [final] ).

cnf(i_0_1030,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_1031,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_1032,axiom,
    c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
    cls_list__update_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1033,axiom,
    c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
    cls_list__update__code_I1_J_0,
    [final] ).

cnf(i_0_1034,axiom,
    c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
    cls_list__update__nonempty_1,
    [final] ).

cnf(i_0_1035,axiom,
    c_Nat_Osize__class_Osize(c_List_Osplice(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
    cls_length__splice_0,
    [final] ).

cnf(i_0_1036,axiom,
    c_Nat_Osize__class_Osize(c_List_Oappend(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
    cls_length__append_0,
    [final] ).

cnf(i_0_1037,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(rw,[status(thm)],[i_0_733,c_0_680]),
    [final] ).

cnf(i_0_1038,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(rw,[status(thm)],[i_0_734,c_0_680]),
    [final] ).

cnf(i_0_1039,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__le__iff__disj_1,
    [final] ).

cnf(i_0_1040,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_min__max_Ole__infI1_0,
    [final] ).

cnf(i_0_1041,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_min__le__iff__disj_2,
    [final] ).

cnf(i_0_1042,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_min__max_Ole__infI2_0,
    [final] ).

cnf(i_0_1043,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_min__less__iff__disj_1,
    [final] ).

cnf(i_0_1044,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_min__max_Oless__infI1_0,
    [final] ).

cnf(i_0_1045,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_min__less__iff__disj_2,
    [final] ).

cnf(i_0_1046,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_min__max_Oless__infI2_0,
    [final] ).

cnf(i_0_1047,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    cls_add__gr__0_1,
    [final] ).

cnf(i_0_1048,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    cls_add__gr__0_2,
    [final] ).

cnf(i_0_1049,axiom,
    ( c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4)
    | ~ c_List_Omember(X1,X3,X4) ),
    cls_List_Omember_Osimps_I2_J_2,
    [final] ).

cnf(i_0_1050,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_735,c_0_680]),
    [final] ).

cnf(i_0_1051,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    cls_not__add__less1_0,
    [final] ).

cnf(i_0_1052,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
    cls_not__add__less2_0,
    [final] ).

cnf(i_0_1053,axiom,
    ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    cls_mod__less__divisor_0,
    [final] ).

cnf(i_0_1054,plain,
    c_List_Odrop(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
    inference(rw,[status(thm)],[i_0_736,c_0_680]),
    [final] ).

cnf(i_0_1055,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_1056,axiom,
    ( c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_Int_Onumber__class_Onumber__of(X3,X1)
    | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
    | ~ class_Int_Onumber(X1)
    | ~ class_HOL_Oord(X1) ),
    cls_min__number__of_1,
    [final] ).

cnf(i_0_1057,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_1058,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_trans__less__add1_0,
    [final] ).

cnf(i_0_1059,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_termination__basic__simps_I1_J_0,
    [final] ).

cnf(i_0_1060,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    cls_trans__less__add2_0,
    [final] ).

cnf(i_0_1061,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    cls_termination__basic__simps_I2_J_0,
    [final] ).

cnf(i_0_1062,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_737,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1063,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_738,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1064,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_739,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1065,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_740,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1066,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_1067,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_1068,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_1069,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_1070,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_1071,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_1072,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_1073,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_1074,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_741,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1075,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_742,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1076,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_743,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1077,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_744,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1078,axiom,
    ( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ class_Int_Onumber(X1) ),
    cls_le__number__of__eq__not__less_1,
    [final] ).

cnf(i_0_1079,axiom,
    c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
    cls_rev__append_0,
    [final] ).

cnf(i_0_1080,axiom,
    c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),
    cls_take__1__Cons_0,
    [final] ).

cnf(i_0_1081,axiom,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__mod__trivial_0,
    [final] ).

cnf(i_0_1082,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1) = c_Divides_Odiv__class_Omod(X3,X2,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__add__self1_0,
    [final] ).

cnf(i_0_1083,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__add__self2_0,
    [final] ).

cnf(i_0_1084,axiom,
    ( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1) = c_Orderings_Oord__class_Omin(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__left__idem_0,
    [final] ).

cnf(i_0_1085,axiom,
    c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
    cls_splice_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1086,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
    cls_append__eq__Cons__conv_4,
    [final] ).

cnf(i_0_1087,axiom,
    c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
    cls_Cons__eq__append__conv_4,
    [final] ).

cnf(i_0_1088,plain,
    c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X3,X1,X2),tc_List_Olist(X2)),
    inference(rw,[status(thm)],[i_0_745,c_0_680]),
    [final] ).

cnf(i_0_1089,plain,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_746,c_0_680]),
    [final] ).

cnf(i_0_1090,axiom,
    c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
    cls_drop__Cons_H_0,
    [final] ).

cnf(i_0_1091,axiom,
    c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    cls_length__drop_0,
    [final] ).

cnf(i_0_1092,axiom,
    c_Nat_Osize__class_Osize(c_List_Otake(X1,X2,X3),tc_List_Olist(X3)) = c_Orderings_Oord__class_Omin(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
    cls_length__take_0,
    [final] ).

cnf(i_0_1093,plain,
    ( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_747,c_0_680]),
    [final] ).

cnf(i_0_1094,plain,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_748,c_0_680]),
    [final] ).

cnf(i_0_1095,axiom,
    c_List_OremoveAll(X1,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_OremoveAll(X1,X2,X3),
    cls_removeAll_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1096,axiom,
    ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
    | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_take__Cons__number__of_0,
    [final] ).

cnf(i_0_1097,axiom,
    ( c_List_Olinorder__class_Osorted(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X2,X1),X1) ),
    cls_sorted__Cons_0,
    [final] ).

cnf(i_0_1098,axiom,
    ( c_List_Olinorder__class_Osorted(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X3,X1),X1) ),
    cls_sorted__append_0,
    [final] ).

cnf(i_0_1099,axiom,
    ( c_List_Olinorder__class_Osorted(X2,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X2,X1),X1) ),
    cls_sorted__append_1,
    [final] ).

cnf(i_0_1100,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    cls_add__diff__inverse_0,
    [final] ).

cnf(i_0_1101,axiom,
    ( c_List_Otl(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Otl(X1,X3),X2,X3)
    | X1 = c_List_Olist_ONil(X3) ),
    cls_tl__append2_0,
    [final] ).

cnf(i_0_1102,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
    cls_distinct_Osimps_I2_J_1,
    [final] ).

cnf(i_0_1103,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
    cls_distinct__rotate_0,
    [final] ).

cnf(i_0_1104,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Oappend(X1,X3,X2),X2) ),
    cls_distinct__append_0,
    [final] ).

cnf(i_0_1105,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Oappend(X3,X1,X2),X2) ),
    cls_distinct__append_1,
    [final] ).

cnf(i_0_1106,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_1107,axiom,
    ( c_List_Orotate(X1,X2,X3) = X2
    | c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_rotate__id_0,
    [final] ).

cnf(i_0_1108,axiom,
    c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
    cls_drop__tl_0,
    [final] ).

cnf(i_0_1109,axiom,
    c_List_Otl(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
    cls_tl__drop_0,
    [final] ).

cnf(i_0_1110,axiom,
    c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3),
    cls_rotate1__rotate__swap_0,
    [final] ).

cnf(i_0_1111,axiom,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    cls_append__eq__conv__conj_1,
    [final] ).

cnf(i_0_1112,axiom,
    X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2),
    cls_append__eq__conv__conj_0,
    [final] ).

cnf(i_0_1113,axiom,
    c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
    cls_CHAINED_0_03,
    [final] ).

cnf(i_0_1114,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_zero__less__two_0,
    [final] ).

cnf(i_0_1115,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
    cls_rev__singleton__conv_1,
    [final] ).

cnf(i_0_1116,axiom,
    c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
    cls_singleton__rev__conv_1,
    [final] ).

cnf(i_0_1117,axiom,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
    cls_List_Onull_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1118,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1) ),
    inference(rw,[status(thm)],[i_0_749,c_0_680]),
    [final] ).

cnf(i_0_1119,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    cls_class__ringb_Oadd__cancel_0,
    [final] ).

cnf(i_0_1120,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    inference(rw,[status(thm)],[i_0_750,c_0_680]),
    [final] ).

cnf(i_0_1121,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_751,c_0_680]),
    [final] ).

cnf(i_0_1122,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(cn,[status(thm)],[i_0_752]),
    [final] ).

cnf(i_0_1123,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_1124,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_1125,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_1126,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_less__add__one_0,
    [final] ).

cnf(i_0_1127,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_1128,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
    cls_add__right__cancel_0,
    [final] ).

cnf(i_0_1129,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_1130,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    cls_add__left__cancel_0,
    [final] ).

cnf(i_0_1131,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    cls_add__imp__eq_0,
    [final] ).

cnf(i_0_1132,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_1133,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_1134,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_1135,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_1136,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_1137,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_1138,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_1139,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_1140,axiom,
    ( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
    | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X3,X2) ),
    cls_singleton__rev__conv_0,
    [final] ).

cnf(i_0_1141,axiom,
    ( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2)
    | c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2) ),
    cls_rev__singleton__conv_0,
    [final] ).

cnf(i_0_1142,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_753,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1143,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_754,c_0_680]),c_0_680]),
    [final] ).

cnf(i_0_1144,axiom,
    ( X2 = X5
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
    cls_replicate__eq__replicate_1,
    [final] ).

cnf(i_0_1145,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_1146,axiom,
    c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3),
    cls_rev__replicate_0,
    [final] ).

cnf(i_0_1147,axiom,
    ( X1 = X4
    | c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
    cls_replicate__eq__replicate_0,
    [final] ).

cnf(i_0_1148,axiom,
    ( X1 = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_list_Oinject_0,
    [final] ).

cnf(i_0_1149,axiom,
    ( X1 = X4
    | c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
    cls_append__same__eq_0,
    [final] ).

cnf(i_0_1150,axiom,
    ( X2 = X4
    | c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
    cls_same__append__eq_0,
    [final] ).

cnf(i_0_1151,axiom,
    ( X2 = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
    cls_list_Oinject_1,
    [final] ).

cnf(i_0_1152,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_755,c_0_680]),
    [final] ).

cnf(i_0_1153,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(rw,[status(thm)],[i_0_756,c_0_680]),
    [final] ).

cnf(i_0_1154,plain,
    c_Divides_Odiv__class_Omod(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rw,[status(thm)],[i_0_757,c_0_680]),
    [final] ).

cnf(i_0_1155,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_add__diff__cancel_0,
    [final] ).

cnf(i_0_1156,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    cls_diff__add__cancel_0,
    [final] ).

cnf(i_0_1157,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__le1_0,
    [final] ).

cnf(i_0_1158,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__le2_0,
    [final] ).

cnf(i_0_1159,axiom,
    ( X1 = X3
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
    cls_nat__add__right__cancel_0,
    [final] ).

cnf(i_0_1160,axiom,
    ( X2 = X3
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
    cls_nat__add__left__cancel_0,
    [final] ).

cnf(i_0_1161,axiom,
    ( X2 = X3
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
    cls_natgb_Oadd__cancel_0,
    [final] ).

cnf(i_0_1162,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3),
    cls_take__Cons_H_0,
    [final] ).

cnf(i_0_1163,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)),tc_nat),
    cls_length__greater__0__conv_0,
    [final] ).

cnf(i_0_1164,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X1,
    inference(rw,[status(thm)],[i_0_758,c_0_680]),
    [final] ).

cnf(i_0_1165,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_759,c_0_680]),
    [final] ).

cnf(i_0_1166,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_760,c_0_680]),
    [final] ).

cnf(i_0_1167,axiom,
    c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    cls_drop__1__Cons_0,
    [final] ).

cnf(i_0_1168,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_761,c_0_680]),
    [final] ).

cnf(i_0_1169,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_762,c_0_680]),
    [final] ).

cnf(i_0_1170,axiom,
    c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    cls_remove1_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1171,axiom,
    c_List_Omember(X1,c_List_Olist_OCons(X1,X2,X3),X3),
    cls_List_Omember_Osimps_I2_J_1,
    [final] ).

cnf(i_0_1172,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_diff__add__0_0,
    [final] ).

cnf(i_0_1173,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
    cls_diff__add__inverse_0,
    [final] ).

cnf(i_0_1174,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1,
    cls_diff__add__inverse2_0,
    [final] ).

cnf(i_0_1175,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Oremove1(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X3,X1) ),
    cls_sorted__remove1_0,
    [final] ).

cnf(i_0_1176,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Odrop(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X3,X1) ),
    cls_sorted__drop_0,
    [final] ).

cnf(i_0_1177,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Otake(X2,X3,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X3,X1) ),
    cls_sorted__take_0,
    [final] ).

cnf(i_0_1178,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_1179,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_1180,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_1181,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_1182,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_1183,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_1184,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_1185,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_1186,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | c_Orderings_Oord__class_Omin(X2,X3,X1) != X2 ),
    cls_min__max_Ole__iff__inf_1,
    [final] ).

cnf(i_0_1187,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X3,X1) = X2
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_min__max_Ole__iff__inf_0,
    [final] ).

cnf(i_0_1188,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X3,X1) = X3
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_min__max_Oinf__absorb2_0,
    [final] ).

cnf(i_0_1189,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_1190,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_1191,axiom,
    c_Nat_Osize__class_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
    cls_length__rotate_0,
    [final] ).

cnf(i_0_1192,axiom,
    c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
    cls_hd__append_0,
    [final] ).

cnf(i_0_1193,axiom,
    c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
    cls_last__append_0,
    [final] ).

cnf(i_0_1194,axiom,
    ( c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    cls_distinct__remove1_0,
    [final] ).

cnf(i_0_1195,axiom,
    ( c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    cls_distinct__rotate_1,
    [final] ).

cnf(i_0_1196,axiom,
    ( c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    cls_distinct__drop_0,
    [final] ).

cnf(i_0_1197,axiom,
    ( c_List_Odistinct(c_List_Otake(X1,X2,X3),X3)
    | ~ c_List_Odistinct(X2,X3) ),
    cls_distinct__take_0,
    [final] ).

cnf(i_0_1198,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_sorted_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1199,axiom,
    ( c_List_Ohd(c_List_Oappend(X1,X2,X3),X3) = c_List_Ohd(X1,X3)
    | X1 = c_List_Olist_ONil(X3) ),
    cls_hd__append_1,
    [final] ).

cnf(i_0_1200,axiom,
    ( c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil(X3) ),
    cls_last_Osimps_1,
    [final] ).

cnf(i_0_1201,axiom,
    ( c_List_Olast(c_List_Oappend(X1,X2,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil(X3) ),
    cls_last__append_1,
    [final] ).

cnf(i_0_1202,axiom,
    c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    cls_length__tl_0,
    [final] ).

cnf(i_0_1203,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = X1
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    cls_mod__if_0,
    [final] ).

cnf(i_0_1204,axiom,
    c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
    cls_last_Osimps_0,
    [final] ).

cnf(i_0_1205,axiom,
    ( c_List_Oremove1(X1,X2,X3) = c_List_OremoveAll(X1,X2,X3)
    | ~ c_List_Odistinct(X2,X3) ),
    cls_distinct__remove1__removeAll_0,
    [final] ).

cnf(i_0_1206,axiom,
    c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
    cls_length__replicate_0,
    [final] ).

cnf(i_0_1207,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | ~ class_Power_Opower(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_power__eq__0__iff_0,
    [final] ).

cnf(i_0_1208,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | ~ class_Power_Opower(X1)
    | c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_power__eq__0__iff_1,
    [final] ).

cnf(i_0_1209,axiom,
    ( c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_hd__replicate_0,
    [final] ).

cnf(i_0_1210,axiom,
    ( c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_last__replicate_0,
    [final] ).

cnf(i_0_1211,axiom,
    c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
    cls_tl_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1212,axiom,
    c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
    cls_hd_Osimps_0,
    [final] ).

cnf(i_0_1213,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) ),
    cls_length__remdups__eq_0,
    [final] ).

cnf(i_0_1214,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_1215,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_1216,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_1217,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_1218,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_1219,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_1220,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_1221,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_1222,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_1223,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_1224,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X3,X1) = c_Orderings_Oord__class_Omin(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__commute_0,
    [final] ).

cnf(i_0_1225,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I24_J_0,
    [final] ).

cnf(i_0_1226,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__c_0,
    [final] ).

cnf(i_0_1227,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__commute_0,
    [final] ).

cnf(i_0_1228,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2),
    cls_replicate__eq__replicate_2,
    [final] ).

cnf(i_0_1229,axiom,
    ( X1 = c_List_Olist_OCons(c_List_Osko__List__Xneq__Nil__conv__1__1(X1,X2),c_List_Osko__List__Xneq__Nil__conv__1__2(X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    cls_neq__Nil__conv_0,
    [final] ).

cnf(i_0_1230,axiom,
    ( X1 = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xexhaust__1__1(X1,X2),c_List_Osko__List__Xlist__Xexhaust__1__2(X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    cls_list_Oexhaust_0,
    [final] ).

cnf(i_0_1231,axiom,
    ( X1 = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xnchotomy__1__1(X1,X2),c_List_Osko__List__Xlist__Xnchotomy__1__2(X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    cls_list_Onchotomy_0,
    [final] ).

cnf(i_0_1232,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_not__one__le__zero_0,
    [final] ).

cnf(i_0_1233,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_not__one__less__zero_0,
    [final] ).

cnf(i_0_1234,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),
    inference(rw,[status(thm)],[i_0_763,c_0_680]),
    [final] ).

cnf(i_0_1235,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_1236,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_1237,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_1238,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
    cls_class__ringb_Oadd__r0__iff_0,
    [final] ).

cnf(i_0_1239,axiom,
    c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),
    cls_nat__add__commute_0,
    [final] ).

cnf(i_0_1240,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_double__eq__0__iff_0,
    [final] ).

cnf(i_0_1241,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
    | c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_field__power__not__zero_0,
    [final] ).

cnf(i_0_1242,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_1243,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_1244,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    cls_take__eq__Nil_0,
    [final] ).

cnf(i_0_1245,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil(X2) ),
    cls_length__greater__0__conv_1,
    [final] ).

cnf(i_0_1246,axiom,
    ( X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    cls_append__is__Nil__conv_0,
    [final] ).

cnf(i_0_1247,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Orotate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    cls_rotate__is__Nil__conv_0,
    [final] ).

cnf(i_0_1248,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    cls_append__is__Nil__conv_1,
    [final] ).

cnf(i_0_1249,axiom,
    ( X2 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
    cls_Nil__is__append__conv_0,
    [final] ).

cnf(i_0_1250,axiom,
    ( X3 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
    cls_Nil__is__append__conv_1,
    [final] ).

cnf(i_0_1251,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | ~ class_Power_Opower(X1) ),
    cls_power__eq__0__iff_2,
    [final] ).

cnf(i_0_1252,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    cls_replicate__empty_0,
    [final] ).

cnf(i_0_1253,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Olist_ONil(X1) != c_List_Oreplicate(X2,X3,X1) ),
    cls_empty__replicate_0,
    [final] ).

cnf(i_0_1254,axiom,
    ~ c_List_Omember(X1,c_List_Olist_ONil(X2),X2),
    cls_List_Omember_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1255,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_order__less__le_1,
    [final] ).

cnf(i_0_1256,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_order__less__irrefl_0,
    [final] ).

cnf(i_0_1257,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_linorder__neq__iff_1,
    [final] ).

cnf(i_0_1258,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_1259,axiom,
    ( X1 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != X2 ),
    cls_append__self__conv2_0,
    [final] ).

cnf(i_0_1260,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | c_List_Oappend(X1,X2,X3) != X1 ),
    cls_append__self__conv_0,
    [final] ).

cnf(i_0_1261,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | X1 != c_List_Oappend(X1,X2,X3) ),
    cls_self__append__conv_0,
    [final] ).

cnf(i_0_1262,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | X1 != c_List_Oappend(X2,X1,X3) ),
    cls_self__append__conv2_0,
    [final] ).

cnf(i_0_1263,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rw,[status(thm)],[i_0_764,c_0_680]),
    [final] ).

cnf(i_0_1264,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rw,[status(thm)],[i_0_765,c_0_680]),
    [final] ).

cnf(i_0_1265,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_766,c_0_680]),
    [final] ).

cnf(i_0_1266,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_767,c_0_680]),
    [final] ).

cnf(i_0_1267,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
    cls_list_Osimps_I3_J_0,
    [final] ).

cnf(i_0_1268,axiom,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
    cls_neq__Nil__conv_1,
    [final] ).

cnf(i_0_1269,axiom,
    c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
    cls_list_Osimps_I2_J_0,
    [final] ).

cnf(i_0_1270,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_add__is__0_0,
    [final] ).

cnf(i_0_1271,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_add__is__0_1,
    [final] ).

cnf(i_0_1272,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != X1,
    inference(rw,[status(thm)],[i_0_768,c_0_680]),
    [final] ).

cnf(i_0_1273,plain,
    X1 != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_769,c_0_680]),
    [final] ).

cnf(i_0_1274,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != X1 ),
    cls_add__eq__self__zero_0,
    [final] ).

cnf(i_0_1275,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
    cls_natgb_Oadd__r0__iff_0,
    [final] ).

cnf(i_0_1276,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    cls_not__less0_0,
    [final] ).

cnf(i_0_1277,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_1278,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    cls_not__Cons__self2_0,
    [final] ).

cnf(i_0_1279,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    cls_not__Cons__self_0,
    [final] ).

cnf(i_0_1280,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    cls_less__not__refl_0,
    [final] ).

cnf(i_0_1281,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    cls_nat__less__le_1,
    [final] ).

cnf(i_0_1282,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1) ),
    cls_power__0__left_1,
    [final] ).

cnf(i_0_1283,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1) ),
    cls_power__0__left_0,
    [final] ).

cnf(i_0_1284,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_double__eq__0__iff_1,
    [final] ).

cnf(i_0_1285,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
    cls_distinct1__rotate_0,
    [final] ).

cnf(i_0_1286,axiom,
    ( c_List_Odistinct(X1,X2)
    | ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
    cls_distinct__rev_0,
    [final] ).

cnf(i_0_1287,axiom,
    ( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    cls_class__ringb_Oadd__r0__iff_1,
    [final] ).

cnf(i_0_1288,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_zero__le__one_0,
    [final] ).

cnf(i_0_1289,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    cls_zero__less__one_0,
    [final] ).

cnf(i_0_1290,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_1291,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__0_0,
    [final] ).

cnf(i_0_1292,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    cls_power__one_0,
    [final] ).

cnf(i_0_1293,axiom,
    ( c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__by__1_0,
    [final] ).

cnf(i_0_1294,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    cls_append__is__Nil__conv_2,
    [final] ).

cnf(i_0_1295,axiom,
    c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
    cls_Nil__is__append__conv_2,
    [final] ).

cnf(i_0_1296,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Oremdups(X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_List_Olinorder__class_Osorted(X2,X1) ),
    cls_sorted__remdups_0,
    [final] ).

cnf(i_0_1297,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Power_Opower(X1) ),
    cls_power__0_0,
    [final] ).

cnf(i_0_1298,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Opwr__0_0,
    [final] ).

cnf(i_0_1299,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    cls_add__0__left_0,
    [final] ).

cnf(i_0_1300,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I5_J_0,
    [final] ).

cnf(i_0_1301,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__0_0,
    [final] ).

cnf(i_0_1302,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__1_0,
    [final] ).

cnf(i_0_1303,axiom,
    ( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__by__0_0,
    [final] ).

cnf(i_0_1304,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_1305,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    cls_monoid__add__class_Oadd__0__right_0,
    [final] ).

cnf(i_0_1306,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I6_J_0,
    [final] ).

cnf(i_0_1307,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__1__right_0,
    [final] ).

cnf(i_0_1308,axiom,
    c_Nat_Osize__class_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
    cls_length__rotate1_0,
    [final] ).

cnf(i_0_1309,axiom,
    c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
    cls_length__rev_0,
    [final] ).

cnf(i_0_1310,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    cls_power__one__right_0,
    [final] ).

cnf(i_0_1311,axiom,
    ( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I33_J_0,
    [final] ).

cnf(i_0_1312,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    cls_mod__self_0,
    [final] ).

cnf(i_0_1313,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_1314,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_1315,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_1316,axiom,
    c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
    cls_list__inter_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1317,axiom,
    c_List_OremoveAll(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    cls_removeAll_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1318,axiom,
    c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    cls_remove1_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1319,axiom,
    c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    cls_rotate__is__Nil__conv_1,
    [final] ).

cnf(i_0_1320,axiom,
    c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    cls_drop__Nil_0,
    [final] ).

cnf(i_0_1321,axiom,
    c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    cls_take__eq__Nil_2,
    [final] ).

cnf(i_0_1322,axiom,
    ( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_distinct1__rotate_1,
    [final] ).

cnf(i_0_1323,axiom,
    ( c_List_Odistinct(c_List_Orev(X1,X2),X2)
    | ~ c_List_Odistinct(X1,X2) ),
    cls_distinct__rev_1,
    [final] ).

cnf(i_0_1324,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X2,X1) = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_min__max_Oinf__idem_0,
    [final] ).

cnf(i_0_1325,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_1326,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_1327,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_add__is__0_2,
    [final] ).

cnf(i_0_1328,plain,
    c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rw,[status(thm)],[i_0_770,c_0_680]),
    [final] ).

cnf(i_0_1329,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
    cls_replicate__empty_1,
    [final] ).

cnf(i_0_1330,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
    cls_take__0_0,
    [final] ).

cnf(i_0_1331,axiom,
    c_List_Olist_ONil(X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1),
    cls_empty__replicate_1,
    [final] ).

cnf(i_0_1332,axiom,
    c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
    cls_splice_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1333,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
    cls_append__Nil_0,
    [final] ).

cnf(i_0_1334,axiom,
    c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
    cls_splice__Nil2_0,
    [final] ).

cnf(i_0_1335,axiom,
    c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
    cls_append__Nil2_0,
    [final] ).

cnf(i_0_1336,axiom,
    X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
    cls_eq__Nil__appendI_0,
    [final] ).

cnf(i_0_1337,axiom,
    X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
    cls_self__append__conv2_1,
    [final] ).

cnf(i_0_1338,axiom,
    X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
    cls_self__append__conv_1,
    [final] ).

cnf(i_0_1339,axiom,
    ( X2 = X3
    | ~ class_Int_Oring__char__0(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_Int_Onumber__class_Onumber__of(X2,X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
    cls_eq__number__of_0,
    [final] ).

cnf(i_0_1340,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_1341,axiom,
    ( c_List_Ohd(c_List_Orev(X1,X2),X2) = c_List_Olast(X1,X2)
    | X1 = c_List_Olist_ONil(X2) ),
    cls_hd__rev_0,
    [final] ).

cnf(i_0_1342,axiom,
    ( c_List_Olast(c_List_Orev(X1,X2),X2) = c_List_Ohd(X1,X2)
    | X1 = c_List_Olist_ONil(X2) ),
    cls_last__rev_0,
    [final] ).

cnf(i_0_1343,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_1344,axiom,
    c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_min__0L_0,
    [final] ).

cnf(i_0_1345,axiom,
    c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_min__0R_0,
    [final] ).

cnf(i_0_1346,axiom,
    c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1,
    cls_drop__0_0,
    [final] ).

cnf(i_0_1347,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
    cls_plus__nat_Oadd__0_0,
    [final] ).

cnf(i_0_1348,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_1349,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
    cls_Nat_Oadd__0__right_0,
    [final] ).

cnf(i_0_1350,axiom,
    X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    cls_natgb_Oadd__r0__iff_1,
    [final] ).

cnf(i_0_1351,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_1352,axiom,
    ( X1 = X3
    | c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
    cls_rev__is__rev__conv_0,
    [final] ).

cnf(i_0_1353,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    cls_length__0__conv_0,
    [final] ).

cnf(i_0_1354,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    cls_rev__rev__ident_0,
    [final] ).

cnf(i_0_1355,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    cls_rev__swap_1,
    [final] ).

cnf(i_0_1356,axiom,
    X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
    cls_rev__swap_0,
    [final] ).

cnf(i_0_1357,axiom,
    c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
    cls_distinct__remdups_0,
    [final] ).

cnf(i_0_1358,axiom,
    ( c_List_Odistinct(X1,X2)
    | c_List_Oremdups(X1,X2) != X1 ),
    cls_remdups__id__iff__distinct_0,
    [final] ).

cnf(i_0_1359,axiom,
    ( c_List_Oremdups(X1,X2) = X1
    | ~ c_List_Odistinct(X1,X2) ),
    cls_distinct__remdups__id_0,
    [final] ).

cnf(i_0_1360,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    clsarity_fun__HOL_Oord,
    [final] ).

cnf(i_0_1361,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    clsarity_fun__Orderings_Oorder,
    [final] ).

cnf(i_0_1362,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    clsarity_fun__Orderings_Opreorder,
    [final] ).

cnf(i_0_1363,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
    cls_rotate1__is__Nil__conv_0,
    [final] ).

cnf(i_0_1364,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
    cls_remdups__eq__nil__iff_0,
    [final] ).

cnf(i_0_1365,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
    cls_rev__is__Nil__conv_0,
    [final] ).

cnf(i_0_1366,axiom,
    ( X2 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Oremdups(X2,X1) ),
    cls_remdups__eq__nil__right__iff_0,
    [final] ).

cnf(i_0_1367,axiom,
    ( X2 = c_List_Olist_ONil(X1)
    | c_List_Olist_ONil(X1) != c_List_Orev(X2,X1) ),
    cls_Nil__is__rev__conv_0,
    [final] ).

cnf(i_0_1368,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
    cls_length__0__conv_1,
    [final] ).

cnf(i_0_1369,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | ~ c_List_Onull(X1,X2) ),
    cls_empty__null_1,
    [final] ).

cnf(i_0_1370,axiom,
    ( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_sorted_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1371,axiom,
    c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    cls_tl_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1372,axiom,
    c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    cls_rotate__simps_0,
    [final] ).

cnf(i_0_1373,axiom,
    c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    cls_remdups__eq__nil__iff_1,
    [final] ).

cnf(i_0_1374,axiom,
    c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    cls_rev__is__Nil__conv_1,
    [final] ).

cnf(i_0_1375,axiom,
    c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
    cls_remdups__eq__nil__right__iff_1,
    [final] ).

cnf(i_0_1376,axiom,
    c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
    cls_Nil__is__rev__conv_1,
    [final] ).

cnf(i_0_1377,axiom,
    c_List_Odistinct(c_List_Olist_ONil(X1),X1),
    cls_distinct_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1378,axiom,
    c_List_Onull(c_List_Olist_ONil(X1),X1),
    cls_empty__null_0,
    [final] ).

cnf(i_0_1379,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_one__neq__zero_0,
    [final] ).

cnf(i_0_1380,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
    cls_zero__neq__one_0,
    [final] ).

cnf(i_0_1381,axiom,
    class_OrderedGroup_Omonoid__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Omonoid__add,
    [final] ).

cnf(i_0_1382,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    clsarity_nat__OrderedGroup_Omonoid__add,
    [final] ).

cnf(i_0_1383,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,
    [final] ).

cnf(i_0_1384,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Ocancel__semigroup__add,
    [final] ).

cnf(i_0_1385,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,
    [final] ).

cnf(i_0_1386,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,
    [final] ).

cnf(i_0_1387,axiom,
    class_Int_Oring__char__0(tc_Int_Oint),
    clsarity_Int__Oint__Int_Oring__char__0,
    [final] ).

cnf(i_0_1388,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,
    [final] ).

cnf(i_0_1389,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Oab__semigroup__add,
    [final] ).

cnf(i_0_1390,axiom,
    class_HOL_Oord(tc_Int_Oint),
    clsarity_Int__Oint__HOL_Oord,
    [final] ).

cnf(i_0_1391,axiom,
    class_HOL_Oord(tc_bool),
    clsarity_bool__HOL_Oord,
    [final] ).

cnf(i_0_1392,axiom,
    class_HOL_Oord(tc_nat),
    clsarity_nat__HOL_Oord,
    [final] ).

cnf(i_0_1393,axiom,
    class_Ring__and__Field_Omult__zero(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Omult__zero,
    [final] ).

cnf(i_0_1394,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    clsarity_nat__Ring__and__Field_Omult__zero,
    [final] ).

cnf(i_0_1395,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,
    [final] ).

cnf(i_0_1396,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    clsarity_nat__Ring__and__Field_Ono__zero__divisors,
    [final] ).

cnf(i_0_1397,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,
    [final] ).

cnf(i_0_1398,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    clsarity_nat__Ring__and__Field_Ozero__neq__one,
    [final] ).

cnf(i_0_1399,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,
    [final] ).

cnf(i_0_1400,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,
    [final] ).

cnf(i_0_1401,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,
    [final] ).

cnf(i_0_1402,axiom,
    class_Divides_Oring__div(tc_Int_Oint),
    clsarity_Int__Oint__Divides_Oring__div,
    [final] ).

cnf(i_0_1403,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Omonoid__mult,
    [final] ).

cnf(i_0_1404,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    clsarity_nat__OrderedGroup_Omonoid__mult,
    [final] ).

cnf(i_0_1405,axiom,
    class_Power_Opower(tc_Int_Oint),
    clsarity_Int__Oint__Power_Opower,
    [final] ).

cnf(i_0_1406,axiom,
    class_Power_Opower(tc_nat),
    clsarity_nat__Power_Opower,
    [final] ).

cnf(i_0_1407,axiom,
    class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Osemiring__0,
    [final] ).

cnf(i_0_1408,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    clsarity_nat__Ring__and__Field_Osemiring__0,
    [final] ).

cnf(i_0_1409,axiom,
    class_Divides_Osemiring__div(tc_Int_Oint),
    clsarity_Int__Oint__Divides_Osemiring__div,
    [final] ).

cnf(i_0_1410,axiom,
    class_Divides_Osemiring__div(tc_nat),
    clsarity_nat__Divides_Osemiring__div,
    [final] ).

cnf(i_0_1411,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,
    [final] ).

cnf(i_0_1412,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    clsarity_nat__Ring__and__Field_Ocomm__semiring__1,
    [final] ).

cnf(i_0_1413,axiom,
    class_OrderedGroup_Oab__group__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Oab__group__add,
    [final] ).

cnf(i_0_1414,axiom,
    class_OrderedGroup_Ogroup__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Ogroup__add,
    [final] ).

cnf(i_0_1415,axiom,
    class_Int_Onumber__ring(tc_Int_Oint),
    clsarity_Int__Oint__Int_Onumber__ring,
    [final] ).

cnf(i_0_1416,axiom,
    class_Ring__and__Field_Oidom(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Oidom,
    [final] ).

cnf(i_0_1417,axiom,
    class_Int_Onumber(tc_Int_Oint),
    clsarity_Int__Oint__Int_Onumber,
    [final] ).

cnf(i_0_1418,axiom,
    class_Int_Onumber(tc_nat),
    clsarity_nat__Int_Onumber,
    [final] ).

cnf(i_0_1419,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,
    [final] ).

cnf(i_0_1420,axiom,
    class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Oordered__idom,
    [final] ).

cnf(i_0_1421,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,
    [final] ).

cnf(i_0_1422,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    clsarity_nat__OrderedGroup_Ocomm__monoid__add,
    [final] ).

cnf(i_0_1423,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
    [final] ).

cnf(i_0_1424,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
    [final] ).

cnf(i_0_1425,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,
    [final] ).

cnf(i_0_1426,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,
    [final] ).

cnf(i_0_1427,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,
    [final] ).

cnf(i_0_1428,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
    clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,
    [final] ).

cnf(i_0_1429,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,
    [final] ).

cnf(i_0_1430,axiom,
    class_Orderings_Oorder(tc_Int_Oint),
    clsarity_Int__Oint__Orderings_Oorder,
    [final] ).

cnf(i_0_1431,axiom,
    class_Orderings_Oorder(tc_bool),
    clsarity_bool__Orderings_Oorder,
    [final] ).

cnf(i_0_1432,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat__Orderings_Oorder,
    [final] ).

cnf(i_0_1433,axiom,
    class_Orderings_Opreorder(tc_Int_Oint),
    clsarity_Int__Oint__Orderings_Opreorder,
    [final] ).

cnf(i_0_1434,axiom,
    class_Orderings_Opreorder(tc_bool),
    clsarity_bool__Orderings_Opreorder,
    [final] ).

cnf(i_0_1435,axiom,
    class_Orderings_Opreorder(tc_nat),
    clsarity_nat__Orderings_Opreorder,
    [final] ).

cnf(i_0_1436,axiom,
    class_Orderings_Olinorder(tc_Int_Oint),
    clsarity_Int__Oint__Orderings_Olinorder,
    [final] ).

cnf(i_0_1437,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat__Orderings_Olinorder,
    [final] ).

cnf(i_0_1438,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
    clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,
    [final] ).

cnf(i_0_1439,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    clsarity_nat__Ring__and__Field_Oordered__semidom,
    [final] ).

cnf(i_0_1440,negated_conjecture,
    ~ v_thesis____,
    cls_conjecture_0,
    [final] ).

cnf(i_0_1441,axiom,
    v_c____ != v_d____,
    cls_CHAINED_0_02,
    [final] ).

cnf(i_0_1442,axiom,
    X1 = X1 ).

cnf(i_0_1443,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1444,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1445,axiom,
    ( X1 != X2
    | c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).

cnf(i_0_1446,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).

cnf(i_0_1447,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).

cnf(i_0_1448,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).

cnf(i_0_1449,axiom,
    ( X1 != X2
    | c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).

cnf(i_0_1450,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_1451,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_1452,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_1453,axiom,
    ( X1 != X2
    | c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).

cnf(i_0_1454,axiom,
    ( X1 != X2
    | c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).

cnf(i_0_1455,axiom,
    ( X1 != X2
    | c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).

cnf(i_0_1456,axiom,
    ( X1 != X2
    | c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).

cnf(i_0_1457,axiom,
    ( X1 != X2
    | c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).

cnf(i_0_1458,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).

cnf(i_0_1459,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).

cnf(i_0_1460,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_1461,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_1462,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).

cnf(i_0_1463,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).

cnf(i_0_1464,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).

cnf(i_0_1465,axiom,
    ( X1 != X2
    | c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).

cnf(i_0_1466,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).

cnf(i_0_1467,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).

cnf(i_0_1468,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Omod(X1,X3,X4) = c_Divides_Odiv__class_Omod(X2,X3,X4) ) ).

cnf(i_0_1469,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Omod(X3,X1,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ) ).

cnf(i_0_1470,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Omod(X3,X4,X1) = c_Divides_Odiv__class_Omod(X3,X4,X2) ) ).

cnf(i_0_1471,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1472,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).

cnf(i_0_1473,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).

cnf(i_0_1474,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).

cnf(i_0_1475,axiom,
    ( X1 != X2
    | c_List_Ohd(X1,X3) = c_List_Ohd(X2,X3) ) ).

cnf(i_0_1476,axiom,
    ( X1 != X2
    | c_List_Ohd(X3,X1) = c_List_Ohd(X3,X2) ) ).

cnf(i_0_1477,axiom,
    ( X1 != X2
    | c_List_Olast(X1,X3) = c_List_Olast(X2,X3) ) ).

cnf(i_0_1478,axiom,
    ( X1 != X2
    | c_List_Olast(X3,X1) = c_List_Olast(X3,X2) ) ).

cnf(i_0_1479,axiom,
    ( X1 != X2
    | c_List_Osplice(X1,X3,X4) = c_List_Osplice(X2,X3,X4) ) ).

cnf(i_0_1480,axiom,
    ( X1 != X2
    | c_List_Osplice(X3,X1,X4) = c_List_Osplice(X3,X2,X4) ) ).

cnf(i_0_1481,axiom,
    ( X1 != X2
    | c_List_Osplice(X3,X4,X1) = c_List_Osplice(X3,X4,X2) ) ).

cnf(i_0_1482,axiom,
    ( X1 != X2
    | c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).

cnf(i_0_1483,axiom,
    ( X1 != X2
    | c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).

cnf(i_0_1484,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).

cnf(i_0_1485,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).

cnf(i_0_1486,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).

cnf(i_0_1487,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).

cnf(i_0_1488,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).

cnf(i_0_1489,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X1,X3,X4) = c_Orderings_Oord__class_Omin(X2,X3,X4) ) ).

cnf(i_0_1490,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X3,X1,X4) = c_Orderings_Oord__class_Omin(X3,X2,X4) ) ).

cnf(i_0_1491,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X3,X4,X1) = c_Orderings_Oord__class_Omin(X3,X4,X2) ) ).

cnf(i_0_1492,axiom,
    ( X1 != X2
    | c_List_OremoveAll(X1,X3,X4) = c_List_OremoveAll(X2,X3,X4) ) ).

cnf(i_0_1493,axiom,
    ( X1 != X2
    | c_List_OremoveAll(X3,X1,X4) = c_List_OremoveAll(X3,X2,X4) ) ).

cnf(i_0_1494,axiom,
    ( X1 != X2
    | c_List_OremoveAll(X3,X4,X1) = c_List_OremoveAll(X3,X4,X2) ) ).

cnf(i_0_1495,axiom,
    ( X1 != X2
    | c_List_Oremove1(X1,X3,X4) = c_List_Oremove1(X2,X3,X4) ) ).

cnf(i_0_1496,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X1,X4) = c_List_Oremove1(X3,X2,X4) ) ).

cnf(i_0_1497,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X4,X1) = c_List_Oremove1(X3,X4,X2) ) ).

cnf(i_0_1498,axiom,
    ( X1 != X2
    | c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).

cnf(i_0_1499,axiom,
    ( X1 != X2
    | c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).

cnf(i_0_1500,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_1501,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_1502,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).

cnf(i_0_1503,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).

cnf(i_0_1504,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).

cnf(i_0_1505,axiom,
    ( X1 != X2
    | c_List_Otake(X1,X3,X4) = c_List_Otake(X2,X3,X4) ) ).

cnf(i_0_1506,axiom,
    ( X1 != X2
    | c_List_Otake(X3,X1,X4) = c_List_Otake(X3,X2,X4) ) ).

cnf(i_0_1507,axiom,
    ( X1 != X2
    | c_List_Otake(X3,X4,X1) = c_List_Otake(X3,X4,X2) ) ).

cnf(i_0_1508,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1509,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1510,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1511,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).

cnf(i_0_1512,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).

cnf(i_0_1513,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1514,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1515,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1516,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1517,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1518,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1519,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_1520,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_1521,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1522,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1523,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).

cnf(i_0_1524,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1525,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber(X1)
    | class_Int_Onumber(X2) ) ).

cnf(i_0_1526,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_1527,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X1,X4)
    | c_HOL_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_1528,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_1529,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1530,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1531,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_1532,axiom,
    ( X1 != X2
    | ~ c_List_Omember(X1,X3,X4)
    | c_List_Omember(X2,X3,X4) ) ).

cnf(i_0_1533,axiom,
    ( X1 != X2
    | ~ c_List_Omember(X3,X1,X4)
    | c_List_Omember(X3,X2,X4) ) ).

cnf(i_0_1534,axiom,
    ( X1 != X2
    | ~ c_List_Omember(X3,X4,X1)
    | c_List_Omember(X3,X4,X2) ) ).

cnf(i_0_1535,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1536,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1537,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1538,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X1,X3)
    | c_List_Onull(X2,X3) ) ).

cnf(i_0_1539,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X3,X1)
    | c_List_Onull(X3,X2) ) ).

cnf(i_0_1540,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_1541,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_1542,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1543,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1544,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1545,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1546,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1547,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_1548,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1549,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1550,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | class_Ring__and__Field_Ozero__neq__one(X2) ) ).

cnf(i_0_1551,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1552,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | class_Ring__and__Field_Omult__zero(X2) ) ).

cnf(i_0_1553,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
    | class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_1554,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_1555,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_1556,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__add(X1)
    | class_OrderedGroup_Omonoid__add(X2) ) ).

cnf(i_0_1557,axiom,
    ( X1 != X2
    | ~ class_Int_Oring__char__0(X1)
    | class_Int_Oring__char__0(X2) ) ).

cnf(i_0_1558,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_1559,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_1560,axiom,
    ( X1 != X2
    | ~ class_Divides_Oring__div(X1)
    | class_Divides_Oring__div(X2) ) ).

cnf(i_0_1561,axiom,
    ( X1 != X2
    | ~ class_Divides_Osemiring__div(X1)
    | class_Divides_Osemiring__div(X2) ) ).

cnf(i_0_1562,axiom,
    ( X1 != X2
    | ~ c_List_Olinorder__class_Osorted(X1,X3)
    | c_List_Olinorder__class_Osorted(X2,X3) ) ).

cnf(i_0_1563,axiom,
    ( X1 != X2
    | ~ c_List_Olinorder__class_Osorted(X3,X1)
    | c_List_Olinorder__class_Osorted(X3,X2) ) ).

cnf(i_0_1442_001,axiom,
    X1 = X1 ).

cnf(i_0_1443_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1444_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1445_004,axiom,
    ( X1 != X2
    | c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).

cnf(i_0_1446_005,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).

cnf(i_0_1447_006,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).

cnf(i_0_1448_007,axiom,
    ( X1 != X2
    | c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).

cnf(i_0_1449_008,axiom,
    ( X1 != X2
    | c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).

cnf(i_0_1450_009,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).

cnf(i_0_1451_010,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).

cnf(i_0_1452_011,axiom,
    ( X1 != X2
    | c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).

cnf(i_0_1453_012,axiom,
    ( X1 != X2
    | c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).

cnf(i_0_1454_013,axiom,
    ( X1 != X2
    | c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).

cnf(i_0_1455_014,axiom,
    ( X1 != X2
    | c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).

cnf(i_0_1456_015,axiom,
    ( X1 != X2
    | c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).

cnf(i_0_1457_016,axiom,
    ( X1 != X2
    | c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).

cnf(i_0_1458_017,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).

cnf(i_0_1459_018,axiom,
    ( X1 != X2
    | c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).

cnf(i_0_1460_019,axiom,
    ( X1 != X2
    | c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).

cnf(i_0_1461_020,axiom,
    ( X1 != X2
    | c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).

cnf(i_0_1462_021,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).

cnf(i_0_1463_022,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).

cnf(i_0_1464_023,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).

cnf(i_0_1465_024,axiom,
    ( X1 != X2
    | c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).

cnf(i_0_1466_025,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).

cnf(i_0_1467_026,axiom,
    ( X1 != X2
    | c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).

cnf(i_0_1468_027,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Omod(X1,X3,X4) = c_Divides_Odiv__class_Omod(X2,X3,X4) ) ).

cnf(i_0_1469_028,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Omod(X3,X1,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ) ).

cnf(i_0_1470_029,axiom,
    ( X1 != X2
    | c_Divides_Odiv__class_Omod(X3,X4,X1) = c_Divides_Odiv__class_Omod(X3,X4,X2) ) ).

cnf(i_0_1471_030,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1472_031,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).

cnf(i_0_1473_032,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).

cnf(i_0_1474_033,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).

cnf(i_0_1475_034,axiom,
    ( X1 != X2
    | c_List_Ohd(X1,X3) = c_List_Ohd(X2,X3) ) ).

cnf(i_0_1476_035,axiom,
    ( X1 != X2
    | c_List_Ohd(X3,X1) = c_List_Ohd(X3,X2) ) ).

cnf(i_0_1477_036,axiom,
    ( X1 != X2
    | c_List_Olast(X1,X3) = c_List_Olast(X2,X3) ) ).

cnf(i_0_1478_037,axiom,
    ( X1 != X2
    | c_List_Olast(X3,X1) = c_List_Olast(X3,X2) ) ).

cnf(i_0_1479_038,axiom,
    ( X1 != X2
    | c_List_Osplice(X1,X3,X4) = c_List_Osplice(X2,X3,X4) ) ).

cnf(i_0_1480_039,axiom,
    ( X1 != X2
    | c_List_Osplice(X3,X1,X4) = c_List_Osplice(X3,X2,X4) ) ).

cnf(i_0_1481_040,axiom,
    ( X1 != X2
    | c_List_Osplice(X3,X4,X1) = c_List_Osplice(X3,X4,X2) ) ).

cnf(i_0_1482_041,axiom,
    ( X1 != X2
    | c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).

cnf(i_0_1483_042,axiom,
    ( X1 != X2
    | c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).

cnf(i_0_1484_043,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).

cnf(i_0_1485_044,axiom,
    ( X1 != X2
    | c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).

cnf(i_0_1486_045,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).

cnf(i_0_1487_046,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).

cnf(i_0_1488_047,axiom,
    ( X1 != X2
    | c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).

cnf(i_0_1489_048,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X1,X3,X4) = c_Orderings_Oord__class_Omin(X2,X3,X4) ) ).

cnf(i_0_1490_049,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X3,X1,X4) = c_Orderings_Oord__class_Omin(X3,X2,X4) ) ).

cnf(i_0_1491_050,axiom,
    ( X1 != X2
    | c_Orderings_Oord__class_Omin(X3,X4,X1) = c_Orderings_Oord__class_Omin(X3,X4,X2) ) ).

cnf(i_0_1492_051,axiom,
    ( X1 != X2
    | c_List_OremoveAll(X1,X3,X4) = c_List_OremoveAll(X2,X3,X4) ) ).

cnf(i_0_1493_052,axiom,
    ( X1 != X2
    | c_List_OremoveAll(X3,X1,X4) = c_List_OremoveAll(X3,X2,X4) ) ).

cnf(i_0_1494_053,axiom,
    ( X1 != X2
    | c_List_OremoveAll(X3,X4,X1) = c_List_OremoveAll(X3,X4,X2) ) ).

cnf(i_0_1495_054,axiom,
    ( X1 != X2
    | c_List_Oremove1(X1,X3,X4) = c_List_Oremove1(X2,X3,X4) ) ).

cnf(i_0_1496_055,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X1,X4) = c_List_Oremove1(X3,X2,X4) ) ).

cnf(i_0_1497_056,axiom,
    ( X1 != X2
    | c_List_Oremove1(X3,X4,X1) = c_List_Oremove1(X3,X4,X2) ) ).

cnf(i_0_1498_057,axiom,
    ( X1 != X2
    | c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).

cnf(i_0_1499_058,axiom,
    ( X1 != X2
    | c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).

cnf(i_0_1500_059,axiom,
    ( X1 != X2
    | c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).

cnf(i_0_1501_060,axiom,
    ( X1 != X2
    | c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).

cnf(i_0_1502_061,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).

cnf(i_0_1503_062,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).

cnf(i_0_1504_063,axiom,
    ( X1 != X2
    | c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).

cnf(i_0_1505_064,axiom,
    ( X1 != X2
    | c_List_Otake(X1,X3,X4) = c_List_Otake(X2,X3,X4) ) ).

cnf(i_0_1506_065,axiom,
    ( X1 != X2
    | c_List_Otake(X3,X1,X4) = c_List_Otake(X3,X2,X4) ) ).

cnf(i_0_1507_066,axiom,
    ( X1 != X2
    | c_List_Otake(X3,X4,X1) = c_List_Otake(X3,X4,X2) ) ).

cnf(i_0_1508_067,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1509_068,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1510_069,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1511_070,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).

cnf(i_0_1512_071,axiom,
    ( X1 != X2
    | c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).

cnf(i_0_1513_072,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1514_073,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1515_074,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1516_075,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1517_076,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1518_077,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1519_078,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_1520_079,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_1521_080,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1522_081,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1523_082,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).

cnf(i_0_1524_083,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1525_084,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber(X1)
    | class_Int_Onumber(X2) ) ).

cnf(i_0_1526_085,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_1527_086,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X1,X4)
    | c_HOL_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_1528_087,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_1529_088,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1530_089,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1531_090,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_1532_091,axiom,
    ( X1 != X2
    | ~ c_List_Omember(X1,X3,X4)
    | c_List_Omember(X2,X3,X4) ) ).

cnf(i_0_1533_092,axiom,
    ( X1 != X2
    | ~ c_List_Omember(X3,X1,X4)
    | c_List_Omember(X3,X2,X4) ) ).

cnf(i_0_1534_093,axiom,
    ( X1 != X2
    | ~ c_List_Omember(X3,X4,X1)
    | c_List_Omember(X3,X4,X2) ) ).

cnf(i_0_1535_094,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1536_095,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1537_096,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1538_097,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X1,X3)
    | c_List_Onull(X2,X3) ) ).

cnf(i_0_1539_098,axiom,
    ( X1 != X2
    | ~ c_List_Onull(X3,X1)
    | c_List_Onull(X3,X2) ) ).

cnf(i_0_1540_099,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring__0(X1)
    | class_Ring__and__Field_Osemiring__0(X2) ) ).

cnf(i_0_1541_100,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_1542_101,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1543_102,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1544_103,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1545_104,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1546_105,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1547_106,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_1548_107,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1549_108,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ogroup__add(X1)
    | class_OrderedGroup_Ogroup__add(X2) ) ).

cnf(i_0_1550_109,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | class_Ring__and__Field_Ozero__neq__one(X2) ) ).

cnf(i_0_1551_110,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1552_111,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | class_Ring__and__Field_Omult__zero(X2) ) ).

cnf(i_0_1553_112,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
    | class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_1554_113,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_1555_114,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_1556_115,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__add(X1)
    | class_OrderedGroup_Omonoid__add(X2) ) ).

cnf(i_0_1557_116,axiom,
    ( X1 != X2
    | ~ class_Int_Oring__char__0(X1)
    | class_Int_Oring__char__0(X2) ) ).

cnf(i_0_1558_117,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X1,X3)
    | c_List_Odistinct(X2,X3) ) ).

cnf(i_0_1559_118,axiom,
    ( X1 != X2
    | ~ c_List_Odistinct(X3,X1)
    | c_List_Odistinct(X3,X2) ) ).

cnf(i_0_1560_119,axiom,
    ( X1 != X2
    | ~ class_Divides_Oring__div(X1)
    | class_Divides_Oring__div(X2) ) ).

cnf(i_0_1561_120,axiom,
    ( X1 != X2
    | ~ class_Divides_Osemiring__div(X1)
    | class_Divides_Osemiring__div(X2) ) ).

cnf(i_0_1562_121,axiom,
    ( X1 != X2
    | ~ c_List_Olinorder__class_Osorted(X1,X3)
    | c_List_Olinorder__class_Osorted(X2,X3) ) ).

cnf(i_0_1563_122,axiom,
    ( X1 != X2
    | ~ c_List_Olinorder__class_Osorted(X3,X1)
    | c_List_Olinorder__class_Osorted(X3,X2) ) ).

cnf(i_0_1564,plain,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | X2 = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(equality_inference,[],[814]) ).

cnf(i_0_1565,plain,
    X1 = X1,
    inference(equality_inference,[],[833]) ).

cnf(i_0_1566,plain,
    X1 = X1,
    inference(equality_inference,[],[834]) ).

cnf(i_0_1567,plain,
    ( X1 = X1
    | ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat) ),
    inference(equality_inference,[],[860]) ).

cnf(i_0_1568,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
    inference(equality_inference,[],[887]) ).

cnf(i_0_1569,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(equality_inference,[],[1005]) ).

cnf(i_0_1570,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(equality_inference,[],[1006]) ).

cnf(i_0_1571,plain,
    ( X1 = X1
    | ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2) ),
    inference(equality_inference,[],[1014]) ).

cnf(i_0_1572,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(equality_inference,[],[1062]) ).

cnf(i_0_1573,plain,
    ( c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(equality_inference,[],[1063]) ).

cnf(i_0_1574,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(equality_inference,[],[1064]) ).

cnf(i_0_1575,plain,
    ( c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
    inference(equality_inference,[],[1065]) ).

cnf(i_0_1576,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | X2 = X2
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(equality_inference,[],[1119]) ).

cnf(i_0_1577,plain,
    ( c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(equality_inference,[],[1120]) ).

cnf(i_0_1578,plain,
    ( c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(equality_inference,[],[1121]) ).

cnf(i_0_1579,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[1127]) ).

cnf(i_0_1580,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[1128]) ).

cnf(i_0_1581,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[1129]) ).

cnf(i_0_1582,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[1130]) ).

cnf(i_0_1583,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
    inference(equality_inference,[],[1131]) ).

cnf(i_0_1584,plain,
    ( X1 = X1
    | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(equality_inference,[],[1144]) ).

cnf(i_0_1585,plain,
    X1 = X1,
    inference(equality_inference,[],[1147]) ).

cnf(i_0_1586,plain,
    X1 = X1,
    inference(equality_inference,[],[1148]) ).

cnf(i_0_1587,plain,
    X1 = X1,
    inference(equality_inference,[],[1149]) ).

cnf(i_0_1588,plain,
    X1 = X1,
    inference(equality_inference,[],[1150]) ).

cnf(i_0_1589,plain,
    X1 = X1,
    inference(equality_inference,[],[1151]) ).

cnf(i_0_1590,plain,
    X1 = X1,
    inference(equality_inference,[],[1159]) ).

cnf(i_0_1591,plain,
    X1 = X1,
    inference(equality_inference,[],[1161]) ).

cnf(i_0_1592,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | X2 = X2
    | ~ class_Int_Oring__char__0(X1) ),
    inference(equality_inference,[],[1339]) ).

cnf(i_0_1593,plain,
    X1 = X1,
    inference(equality_inference,[],[1352]) ).

cnf(i_0_1594,plain,
    ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_1440,i_0_795]) ).

cnf(i_0_1595,plain,
    c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_812,i_0_1102]) ).

cnf(i_0_1596,plain,
    ( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
    | c_List_Odistinct(X2,X3) ),
    inference(rename_variables,[],[i_0_1102]) ).

cnf(i_0_1597,plain,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),X5),X3) != c_List_Olist_OCons(X4,X2,X3),
    inference(scs_inference,[],[i_0_1278,i_0_812,i_0_1102,i_0_999]) ).

cnf(i_0_1598,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1599,plain,
    ( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_999]) ).

cnf(i_0_1600,plain,
    c_List_Oappend(c_List_Orev(c_List_Olist_ONil(X1),X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),
    inference(scs_inference,[],[i_0_1278,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141]) ).

cnf(i_0_1601,plain,
    c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
    inference(rename_variables,[],[i_0_858]) ).

cnf(i_0_1602,plain,
    ( c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2)
    | X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2) ),
    inference(rename_variables,[],[i_0_1141]) ).

cnf(i_0_1603,plain,
    c_List_Oreplicate(c_List_Olist_OCons(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2),X3,X4) != c_List_Olist_ONil(X4),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252]) ).

cnf(i_0_1604,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1605,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    inference(rename_variables,[],[i_0_1252]) ).

cnf(i_0_1606,plain,
    c_List_Olist_ONil(X1) != c_List_Oreplicate(c_List_Olist_OCons(X2,c_HOL_Ozero__class_Ozero(tc_nat),X3),X4,X1),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253]) ).

cnf(i_0_1607,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1608,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Olist_ONil(X2) != c_List_Oreplicate(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_1253]) ).

cnf(i_0_1609,plain,
    c_HOL_Oplus__class_Oplus(X1,c_List_Olist_OCons(X2,c_HOL_Ozero__class_Ozero(tc_nat),X3),tc_nat) != X1,
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274]) ).

cnf(i_0_1610,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1611,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
    inference(rename_variables,[],[i_0_1274]) ).

cnf(i_0_1612,plain,
    X1 != c_HOL_Oplus__class_Oplus(X1,c_List_Olist_OCons(X2,c_HOL_Ozero__class_Ozero(tc_nat),X3),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275]) ).

cnf(i_0_1613,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1614,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1275]) ).

cnf(i_0_1615,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1351,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443]) ).

cnf(i_0_1616,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1351,i_0_895,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855]) ).

cnf(i_0_1617,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_895]) ).

cnf(i_0_1618,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_855]) ).

cnf(i_0_1619,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1351,i_0_1169,i_0_895,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886]) ).

cnf(i_0_1620,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_1621,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) ),
    inference(rename_variables,[],[i_0_886]) ).

cnf(i_0_1622,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1351,i_0_1169,i_0_895,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931]) ).

cnf(i_0_1623,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_931]) ).

cnf(i_0_1624,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1351,i_0_1169,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004]) ).

cnf(i_0_1625,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_895]) ).

cnf(i_0_1626,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_1004]) ).

cnf(i_0_1627,plain,
    c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1351,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053]) ).

cnf(i_0_1628,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_1629,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1053]) ).

cnf(i_0_1630,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1351,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057]) ).

cnf(i_0_1631,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_1057]) ).

cnf(i_0_1632,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1051,i_0_1351,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059]) ).

cnf(i_0_1633,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1634,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1059]) ).

cnf(i_0_1635,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1051,i_0_1633,i_0_1351,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061]) ).

cnf(i_0_1636,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1637,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_1061]) ).

cnf(i_0_1638,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094]) ).

cnf(i_0_1639,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
    inference(rename_variables,[],[i_0_1052]) ).

cnf(i_0_1640,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_1094]) ).

cnf(i_0_1641,plain,
    ~ class_OrderedGroup_Ogroup__add(tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156]) ).

cnf(i_0_1642,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1264]) ).

cnf(i_0_1643,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(rename_variables,[],[i_0_1156]) ).

cnf(i_0_1644,plain,
    c_lessequals(X1,X1,tc_Int_Oint),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325]) ).

cnf(i_0_1645,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1325]) ).

cnf(i_0_1646,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326]) ).

cnf(i_0_1647,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1326]) ).

cnf(i_0_1648,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340]) ).

cnf(i_0_1649,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_1340]) ).

cnf(i_0_1650,plain,
    ~ c_List_Onull(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X3),X2),
    inference(scs_inference,[],[i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369]) ).

cnf(i_0_1651,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1652,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | ~ c_List_Onull(X1,X2) ),
    inference(rename_variables,[],[i_0_1369]) ).

cnf(i_0_1653,plain,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(c_List_Olist_ONil(X3),X2,X3),
    inference(scs_inference,[],[i_0_1268,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774]) ).

cnf(i_0_1654,plain,
    c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
    inference(rename_variables,[],[i_0_1268]) ).

cnf(i_0_1655,plain,
    ( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X3,X4,X5),X5) = X3
    | c_List_Olist_OCons(X1,X2,X5) = X4
    | c_List_Olist_OCons(X1,X2,X5) != c_List_Oappend(X3,X4,X5) ),
    inference(rename_variables,[],[i_0_774]) ).

cnf(i_0_1656,plain,
    c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X5),X1) != c_List_Olist_OCons(X3,X4,X1),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_895,i_0_1617,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777]) ).

cnf(i_0_1657,plain,
    c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
    inference(rename_variables,[],[i_0_1269]) ).

cnf(i_0_1658,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1659,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X1,X4,X5),X5)
    | X4 = c_List_Olist_OCons(X2,X3,X5)
    | c_List_Oappend(X1,X4,X5) != c_List_Olist_OCons(X2,X3,X5) ),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1660,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1264,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002]) ).

cnf(i_0_1661,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
    inference(rename_variables,[],[i_0_1347]) ).

cnf(i_0_1662,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
    inference(rename_variables,[],[i_0_1002]) ).

cnf(i_0_1663,plain,
    ~ class_OrderedGroup_Oab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1264,i_0_1266,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127]) ).

cnf(i_0_1664,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),
    inference(rename_variables,[],[i_0_956]) ).

cnf(i_0_1665,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1266]) ).

cnf(i_0_1666,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_1127]) ).

cnf(i_0_1667,plain,
    c_List_Oreplicate(c_List_Olist_OCons(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2),c_List_Olist_OCons(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2),X3) != c_List_Oreplicate(X4,c_HOL_Ozero__class_Ozero(tc_nat),X3),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1264,i_0_1266,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144]) ).

cnf(i_0_1668,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1669,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3)
    | X2 = X5 ),
    inference(rename_variables,[],[i_0_1144]) ).

cnf(i_0_1670,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1264,i_0_1266,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1437,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186]) ).

cnf(i_0_1671,plain,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1186]) ).

cnf(i_0_1672,plain,
    c_List_Olist_OCons(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2) != c_HOL_Oone__class_Oone(tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1437,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444]) ).

cnf(i_0_1673,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1674,plain,
    class_Orderings_Olinorder(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516]) ).

cnf(i_0_1675,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1676,plain,
    class_Ring__and__Field_Ocomm__semiring__1(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1411,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517]) ).

cnf(i_0_1677,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1678,plain,
    class_OrderedGroup_Opordered__ab__group__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1411,i_0_1419,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518]) ).

cnf(i_0_1679,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1680,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1411,i_0_1419,i_0_1423,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519]) ).

cnf(i_0_1681,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1682,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1400,i_0_1411,i_0_1419,i_0_1423,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520]) ).

cnf(i_0_1683,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1684,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1400,i_0_1411,i_0_1419,i_0_1423,i_0_1426,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521]) ).

cnf(i_0_1685,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1686,plain,
    tc_Int_Oint != tc_nat,
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1419,i_0_1423,i_0_1426,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522]) ).

cnf(i_0_1687,plain,
    class_OrderedGroup_Opordered__comm__monoid__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1419,i_0_1423,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523]) ).

cnf(i_0_1688,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1689,plain,
    class_OrderedGroup_Ocomm__monoid__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1419,i_0_1421,i_0_1423,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524]) ).

cnf(i_0_1690,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1691,plain,
    class_Int_Onumber(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1421,i_0_1423,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525]) ).

cnf(i_0_1692,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1693,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1051,i_0_1633,i_0_1052,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1421,i_0_1423,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526]) ).

cnf(i_0_1694,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1281]) ).

cnf(i_0_1695,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1421,i_0_1423,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527]) ).

cnf(i_0_1696,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
    inference(rename_variables,[],[i_0_1052]) ).

cnf(i_0_1697,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,c_List_Oappend(c_List_Otake(X2,tc_nat,X3),c_List_Odrop(X2,tc_nat,X3),X3)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1421,i_0_1423,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528]) ).

cnf(i_0_1698,plain,
    c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    inference(rename_variables,[],[i_0_1026]) ).

cnf(i_0_1699,plain,
    class_OrderedGroup_Olordered__ab__group__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529]) ).

cnf(i_0_1700,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1701,plain,
    class_Ring__and__Field_Oordered__idom(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530]) ).

cnf(i_0_1702,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1703,plain,
    class_OrderedGroup_Oab__semigroup__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531]) ).

cnf(i_0_1704,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1705,plain,
    ~ c_List_Omember(X1,c_List_Otl(c_List_Olist_ONil(X2),X2),X2),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533]) ).

cnf(i_0_1706,plain,
    ~ c_List_Omember(X1,c_List_Olist_ONil(X2),X2),
    inference(rename_variables,[],[i_0_1254]) ).

cnf(i_0_1707,plain,
    ~ c_List_Omember(X1,c_List_Olist_ONil(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534]) ).

cnf(i_0_1708,plain,
    ~ c_List_Omember(X1,c_List_Olist_ONil(X2),X2),
    inference(rename_variables,[],[i_0_1254]) ).

cnf(i_0_1709,plain,
    class_HOL_Oord(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535]) ).

cnf(i_0_1710,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1711,plain,
    class_Orderings_Oorder(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536]) ).

cnf(i_0_1712,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1713,plain,
    class_Orderings_Opreorder(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537]) ).

cnf(i_0_1714,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1715,plain,
    ~ c_List_Onull(c_List_Oappend(c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X5),c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X5),X5),X4),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538]) ).

cnf(i_0_1716,plain,
    c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    inference(rename_variables,[],[i_0_1026]) ).

cnf(i_0_1717,plain,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539]) ).

cnf(i_0_1718,plain,
    ~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1117]) ).

cnf(i_0_1719,plain,
    class_Ring__and__Field_Osemiring__0(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1407,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540]) ).

cnf(i_0_1720,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1721,plain,
    class_Power_Opower(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541]) ).

cnf(i_0_1722,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1723,plain,
    class_Ring__and__Field_Oidom(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545]) ).

cnf(i_0_1724,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1725,plain,
    class_Int_Onumber__ring(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1388,i_0_1390,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546]) ).

cnf(i_0_1726,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1727,plain,
    class_OrderedGroup_Ocancel__semigroup__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1388,i_0_1390,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547]) ).

cnf(i_0_1728,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1729,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548]) ).

cnf(i_0_1730,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1731,plain,
    class_Ring__and__Field_Ozero__neq__one(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1397,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550]) ).

cnf(i_0_1732,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1733,plain,
    class_Ring__and__Field_Ono__zero__divisors(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1395,i_0_1397,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551]) ).

cnf(i_0_1734,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1735,plain,
    class_Ring__and__Field_Omult__zero(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552]) ).

cnf(i_0_1736,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1737,plain,
    class_Ring__and__Field_Oring__1__no__zero__divisors(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553]) ).

cnf(i_0_1738,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1739,plain,
    class_OrderedGroup_Omonoid__mult(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1403,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554]) ).

cnf(i_0_1740,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1741,plain,
    class_Ring__and__Field_Oordered__semidom(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1403,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555]) ).

cnf(i_0_1742,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1743,plain,
    class_OrderedGroup_Omonoid__add(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1403,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556]) ).

cnf(i_0_1744,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1745,plain,
    class_Divides_Oring__div(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560]) ).

cnf(i_0_1746,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1747,plain,
    class_Divides_Osemiring__div(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561]) ).

cnf(i_0_1748,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1749,plain,
    c_List_Olast(c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X5),X6,X3),X3) = c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824]) ).

cnf(i_0_1750,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1751,plain,
    ( X1 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
    | c_List_Olast(c_List_Olist__update(X2,X1,X4,X3),X3) = c_List_Olast(X2,X3)
    | X2 = c_List_Olist_ONil(X3) ),
    inference(rename_variables,[],[i_0_824]) ).

cnf(i_0_1752,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852]) ).

cnf(i_0_1753,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_852]) ).

cnf(i_0_1754,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876]) ).

cnf(i_0_1755,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_876]) ).

cnf(i_0_1756,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932]) ).

cnf(i_0_1757,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_1758,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_932]) ).

cnf(i_0_1759,plain,
    c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,tc_Int_Oint),X1,tc_Int_Oint),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982]) ).

cnf(i_0_1760,plain,
    ( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4)
    | c_lessequals(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_982]) ).

cnf(i_0_1761,plain,
    c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,tc_Int_Oint),X2,tc_Int_Oint),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984]) ).

cnf(i_0_1762,plain,
    ( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4)
    | c_lessequals(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_984]) ).

cnf(i_0_1763,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_Divides_Odiv__class_Omod(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995]) ).

cnf(i_0_1764,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1277]) ).

cnf(i_0_1765,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_995]) ).

cnf(i_0_1766,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_OCons(X2,c_HOL_Ozero__class_Ozero(tc_nat),X3),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001]) ).

cnf(i_0_1767,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = X2
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1768,plain,
    c_lessequals(c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_Int_Oint),X1,tc_Int_Oint),c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_Int_Oint),X1,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016]) ).

cnf(i_0_1769,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_1016]) ).

cnf(i_0_1770,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023]) ).

cnf(i_0_1771,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_1772,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_1023]) ).

cnf(i_0_1773,plain,
    ~ class_OrderedGroup_Opordered__ab__group__add(tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031]) ).

cnf(i_0_1774,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1277]) ).

cnf(i_0_1775,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_1031]) ).

cnf(i_0_1776,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044]) ).

cnf(i_0_1777,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1281]) ).

cnf(i_0_1778,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_1044]) ).

cnf(i_0_1779,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X1,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046]) ).

cnf(i_0_1780,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1281]) ).

cnf(i_0_1781,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1782,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132]) ).

cnf(i_0_1783,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1027]) ).

cnf(i_0_1784,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_1132]) ).

cnf(i_0_1785,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133]) ).

cnf(i_0_1786,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1133]) ).

cnf(i_0_1787,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1347,i_0_1027,i_0_1783,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135]) ).

cnf(i_0_1788,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_1135]) ).

cnf(i_0_1789,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138]) ).

cnf(i_0_1790,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1138]) ).

cnf(i_0_1791,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139]) ).

cnf(i_0_1792,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_1139]) ).

cnf(i_0_1793,plain,
    c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189]) ).

cnf(i_0_1794,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_1189]) ).

cnf(i_0_1795,plain,
    c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219]) ).

cnf(i_0_1796,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1219]) ).

cnf(i_0_1797,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223]) ).

cnf(i_0_1798,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1223]) ).

cnf(i_0_1799,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236]) ).

cnf(i_0_1800,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1277]) ).

cnf(i_0_1801,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_1236]) ).

cnf(i_0_1802,plain,
    class_Int_Oring__char__0(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,tc_Int_Oint,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557]) ).

cnf(i_0_1803,plain,
    X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
    inference(rename_variables,[],[i_0_1111]) ).

cnf(i_0_1804,plain,
    c_lessequals(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861]) ).

cnf(i_0_1805,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    inference(rename_variables,[],[i_0_861]) ).

cnf(i_0_1806,plain,
    c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863]) ).

cnf(i_0_1807,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_1808,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_896]) ).

cnf(i_0_1809,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(rename_variables,[],[i_0_863]) ).

cnf(i_0_1810,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864]) ).

cnf(i_0_1811,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X2,X5,X3)
    | ~ c_lessequals(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_864]) ).

cnf(i_0_1812,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865]) ).

cnf(i_0_1813,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
    inference(rename_variables,[],[i_0_1052]) ).

cnf(i_0_1814,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_lessequals(X2,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_865]) ).

cnf(i_0_1815,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866]) ).

cnf(i_0_1816,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1817,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X5,X3)
    | ~ c_lessequals(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1818,plain,
    c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897]) ).

cnf(i_0_1819,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_897]) ).

cnf(i_0_1820,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903]) ).

cnf(i_0_1821,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_896]) ).

cnf(i_0_1822,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_903]) ).

cnf(i_0_1823,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904]) ).

cnf(i_0_1824,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_896]) ).

cnf(i_0_1825,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_904]) ).

cnf(i_0_1826,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915]) ).

cnf(i_0_1827,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_1828,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_896]) ).

cnf(i_0_1829,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(rename_variables,[],[i_0_915]) ).

cnf(i_0_1830,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069]) ).

cnf(i_0_1831,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1832,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    inference(rename_variables,[],[i_0_1069]) ).

cnf(i_0_1833,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218]) ).

cnf(i_0_1834,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1277]) ).

cnf(i_0_1835,plain,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(rename_variables,[],[i_0_1278]) ).

cnf(i_0_1836,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_1218]) ).

cnf(i_0_1837,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916]) ).

cnf(i_0_1838,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_916]) ).

cnf(i_0_1839,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917]) ).

cnf(i_0_1840,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_917]) ).

cnf(i_0_1841,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),X2,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918]) ).

cnf(i_0_1842,plain,
    c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_1843,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1844,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_918]) ).

cnf(i_0_1845,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055]) ).

cnf(i_0_1846,plain,
    ( 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) ),
    inference(rename_variables,[],[i_0_1055]) ).

cnf(i_0_1847,plain,
    ~ c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542]) ).

cnf(i_0_1848,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543]) ).

cnf(i_0_1849,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),c_List_Oappend(c_List_Otake(X1,tc_nat,X2),c_List_Odrop(X1,tc_nat,X2),X2)),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544]) ).

cnf(i_0_1850,plain,
    c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
    inference(rename_variables,[],[i_0_1026]) ).

cnf(i_0_1851,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908]) ).

cnf(i_0_1852,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_908]) ).

cnf(i_0_1853,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X3,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),X3,tc_nat),tc_nat) ),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994]) ).

cnf(i_0_1854,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_994]) ).

cnf(i_0_1855,plain,
    c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994,i_0_1021]) ).

cnf(i_0_1856,plain,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_1021]) ).

cnf(i_0_1857,plain,
    ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1843,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994,i_0_1021,i_0_829]) ).

cnf(i_0_1858,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1859,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X4,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1) ),
    inference(rename_variables,[],[i_0_829]) ).

cnf(i_0_1860,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(tc_bool)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_bool),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_bool),c_HOL_Ozero__class_Ozero(tc_bool),tc_bool),tc_bool) ),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1843,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994,i_0_1021,i_0_829,i_0_1019]) ).

cnf(i_0_1861,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_1019]) ).

cnf(i_0_1862,plain,
    ( ~ class_Ring__and__Field_Oordered__semidom(tc_bool)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_bool),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_bool),X1,tc_bool),tc_bool) ),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1843,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994,i_0_1021,i_0_829,i_0_1019,i_0_1020]) ).

cnf(i_0_1863,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1864,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat) ),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1843,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1166,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994,i_0_1021,i_0_829,i_0_1019,i_0_1020,i_0_1022]) ).

cnf(i_0_1865,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_1022]) ).

cnf(i_0_1866,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_Int_Oint)
    | c_lessequals(X1,X2,tc_Int_Oint) ),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1843,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1166,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994,i_0_1021,i_0_829,i_0_1019,i_0_1020,i_0_1022,i_0_1190]) ).

cnf(i_0_1867,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_1190]) ).

cnf(i_0_1868,plain,
    ( ~ class_Int_Onumber__ring(tc_nat)
    | ~ class_Ring__and__Field_Oidom(tc_nat) ),
    inference(scs_inference,[],[i_0_1268,i_0_1654,i_0_1269,i_0_1278,i_0_1598,i_0_1604,i_0_1607,i_0_1610,i_0_1613,i_0_1651,i_0_1658,i_0_1668,i_0_1673,i_0_1750,i_0_1273,i_0_1264,i_0_1266,i_0_1328,i_0_1281,i_0_1694,i_0_1777,i_0_1780,i_0_1254,i_0_1706,i_0_1117,i_0_1051,i_0_1633,i_0_1636,i_0_1816,i_0_1831,i_0_1843,i_0_1052,i_0_1639,i_0_1696,i_0_1277,i_0_1764,i_0_1774,i_0_1800,i_0_1351,i_0_1381,i_0_1383,i_0_1385,i_0_1387,i_0_1388,i_0_1390,i_0_1393,i_0_1395,i_0_1397,i_0_1399,i_0_1400,i_0_1401,i_0_1402,i_0_1403,i_0_1405,i_0_1407,i_0_1409,i_0_1411,i_0_1413,i_0_1415,i_0_1416,i_0_1417,i_0_1419,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1424,i_0_1425,i_0_1426,i_0_1427,i_0_1428,i_0_1429,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1436,i_0_1437,i_0_1438,i_0_1439,i_0_1371,i_0_1026,i_0_1698,i_0_1716,i_0_1111,i_0_1675,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1688,i_0_1690,i_0_1692,i_0_1700,i_0_1702,i_0_1704,i_0_1710,i_0_1712,i_0_1714,i_0_1720,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1740,i_0_1742,i_0_1744,i_0_1746,i_0_1748,i_0_1169,i_0_1620,i_0_1628,i_0_1757,i_0_1771,i_0_1807,i_0_1827,i_0_895,i_0_1617,i_0_1625,i_0_896,i_0_1808,i_0_1821,i_0_1824,i_0_1347,i_0_1027,i_0_1783,i_0_1163,i_0_1166,i_0_1172,i_0_1344,i_0_956,i_0_858,i_0_812,i_0_1102,i_0_999,i_0_1141,i_0_1252,i_0_1253,i_0_1274,i_0_1275,i_0_1443,i_0_855,i_0_886,i_0_931,i_0_1004,i_0_1053,i_0_1057,i_0_1059,i_0_1061,i_0_1094,i_0_1156,i_0_1325,i_0_1326,i_0_1340,i_0_1369,i_0_774,i_0_777,i_0_1002,i_0_1127,i_0_1144,i_0_1186,i_0_1444,i_0_1516,i_0_1517,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1522,i_0_1523,i_0_1524,i_0_1525,i_0_1526,i_0_1527,i_0_1528,i_0_1529,i_0_1530,i_0_1531,i_0_1533,i_0_1534,i_0_1535,i_0_1536,i_0_1537,i_0_1538,i_0_1539,i_0_1540,i_0_1541,i_0_1545,i_0_1546,i_0_1547,i_0_1548,i_0_1550,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1555,i_0_1556,i_0_1560,i_0_1561,i_0_824,i_0_852,i_0_876,i_0_932,i_0_982,i_0_984,i_0_995,i_0_1001,i_0_1016,i_0_1023,i_0_1031,i_0_1044,i_0_1046,i_0_1132,i_0_1133,i_0_1135,i_0_1138,i_0_1139,i_0_1189,i_0_1219,i_0_1223,i_0_1236,i_0_1557,i_0_861,i_0_863,i_0_864,i_0_865,i_0_866,i_0_897,i_0_903,i_0_904,i_0_915,i_0_1069,i_0_1218,i_0_916,i_0_917,i_0_918,i_0_1055,i_0_1542,i_0_1543,i_0_1544,i_0_908,i_0_994,i_0_1021,i_0_829,i_0_1019,i_0_1020,i_0_1022,i_0_1190,i_0_1237]) ).

cnf(i_0_1869,plain,
    c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(rename_variables,[],[i_0_1172]) ).

cnf(i_0_1870,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(rename_variables,[],[i_0_1237]) ).

cnf(i_0_1871,plain,
    $false,
    inference(scs_inference,[],[i_0_1594,i_0_1441,i_0_803]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SCT088-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.08  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.09/0.28  % Computer : n021.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Tue May  5 01:57:10 EDT 2026
% 0.09/0.28  % CPUTime    : 
% 0.09/0.29  % start to proof: theBenchmark
% 0.72/1.61  % Version  : CSE_E---1.7
% 0.72/1.61  % Problem  : theBenchmark.p
% 0.72/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.61  % SZS output start CNFRefutation
% See solution above
% 4.01/5.01  % Total time : 1.320s
%------------------------------------------------------------------------------