LEO-II---2.3.1.THM-CRf.s

%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:50:28 AM UTC 2026

% Result   : Theorem 60.64s 12.49s
% Output   : CNFRefutation 12.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  156 (  83 unt;   0 typ;   0 def)
%            Number of atoms       : 1078 ( 529 equ;   0 cnn)
%            Maximal formula atoms :    8 (   6 avg)
%            Number of connectives : 2327 ( 820   ~; 346   |;  27   &;1093   @)
%                                         (   3 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 2184 (2181 usr;1090 con; 0-23 aty)
%            Number of variables   :  628 (   0   ^; 613   !;  15   ?; 628   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_cCoq_2eArith_2eBetween_2ebetween,type,
    cCoq_2eArith_2eBetween_2ebetween: $i ).

thf(tp_cCoq_2eArith_2eBetween_2ebetween___24a3,type,
    cCoq_2eArith_2eBetween_2ebetween___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eArith_2eBetween_2eexists__between,type,
    cCoq_2eArith_2eBetween_2eexists__between: $i ).

thf(tp_cCoq_2eArith_2eBetween_2eexists__between___24a3,type,
    cCoq_2eArith_2eBetween_2eexists__between___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eArith_2eBetween_2ein__int,type,
    cCoq_2eArith_2eBetween_2ein__int: $i ).

thf(tp_cCoq_2eArith_2eBetween_2ein__int___24a3,type,
    cCoq_2eArith_2eBetween_2ein__int___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eArith_2eEqNat_2eeq__nat,type,
    cCoq_2eArith_2eEqNat_2eeq__nat: $i ).

thf(tp_cCoq_2eArith_2eEqNat_2eeq__nat___24a2,type,
    cCoq_2eArith_2eEqNat_2eeq__nat___24a2: $i > $i > $o ).

thf(tp_cCoq_2eArith_2eFactorial_2efact,type,
    cCoq_2eArith_2eFactorial_2efact: $i ).

thf(tp_cCoq_2eArith_2eFactorial_2efact___24a1,type,
    cCoq_2eArith_2eFactorial_2efact___24a1: $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eEven,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eEven: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eEven___24a1,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eEven___24a1: $i > $o ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eOdd,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eOdd: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eOdd___24a1,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eOdd___24a1: $i > $o ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eclearbit,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eclearbit: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eclearbit___24a2,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eclearbit___24a2: $i > $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2edivide,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2edivide: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2edivide___24a2,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2edivide___24a2: $i > $i > $o ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eeq__dec,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eeq__dec: $i ).

thf(tp_cCoq_2eBool_2eBool_2eIs__true,type,
    cCoq_2eBool_2eBool_2eIs__true: $i ).

thf(tp_cCoq_2eBool_2eBool_2eIs__true___24a1,type,
    cCoq_2eBool_2eBool_2eIs__true___24a1: $i > $o ).

thf(tp_cCoq_2eBool_2eBool_2eReflectF,type,
    cCoq_2eBool_2eBool_2eReflectF: $i ).

thf(tp_cCoq_2eBool_2eBool_2eReflectF___24a1,type,
    cCoq_2eBool_2eBool_2eReflectF___24a1: $i > $i ).

thf(tp_cCoq_2eBool_2eBool_2eReflectT,type,
    cCoq_2eBool_2eBool_2eReflectT: $i ).

thf(tp_cCoq_2eBool_2eBool_2eReflectT___24a1,type,
    cCoq_2eBool_2eBool_2eReflectT___24a1: $i > $i ).

thf(tp_cCoq_2eBool_2eBool_2eeqb,type,
    cCoq_2eBool_2eBool_2eeqb: $i ).

thf(tp_cCoq_2eBool_2eBool_2eeqb___24a2,type,
    cCoq_2eBool_2eBool_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eBool_2eBool_2ereflect,type,
    cCoq_2eBool_2eBool_2ereflect: $i ).

thf(tp_cCoq_2eBool_2eBool_2ereflect___24a2,type,
    cCoq_2eBool_2eBool_2ereflect___24a2: $i > $i > $i ).

thf(tp_cCoq_2eBool_2eBool_2ereflect___24t,type,
    cCoq_2eBool_2eBool_2ereflect___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eBool_2eSumbool_2ebool__of__sumbool,type,
    cCoq_2eBool_2eSumbool_2ebool__of__sumbool: $i ).

thf(tp_cCoq_2eBool_2eSumbool_2ebool__of__sumbool___24a3,type,
    cCoq_2eBool_2eSumbool_2ebool__of__sumbool___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eBool_2eSumbool_2esumbool__not,type,
    cCoq_2eBool_2eSumbool_2esumbool__not: $i ).

thf(tp_cCoq_2eBool_2eSumbool_2esumbool__not___24a3,type,
    cCoq_2eBool_2eSumbool_2esumbool__not___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eBool_2eZerob_2ezerob,type,
    cCoq_2eBool_2eZerob_2ezerob: $i ).

thf(tp_cCoq_2eBool_2eZerob_2ezerob___24a1,type,
    cCoq_2eBool_2eZerob_2ezerob___24a1: $i > $i ).

thf(tp_cCoq_2eClasses_2eMorphisms_2eProper,type,
    cCoq_2eClasses_2eMorphisms_2eProper: $i ).

thf(tp_cCoq_2eClasses_2eMorphisms_2eProper___24a3,type,
    cCoq_2eClasses_2eMorphisms_2eProper___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eClasses_2eMorphisms_2erespectful,type,
    cCoq_2eClasses_2eMorphisms_2erespectful: $i ).

thf(tp_cCoq_2eClasses_2eMorphisms_2erespectful___24a4,type,
    cCoq_2eClasses_2eMorphisms_2erespectful___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eClasses_2eRelationClasses_2eEquivalence,type,
    cCoq_2eClasses_2eRelationClasses_2eEquivalence: $i ).

thf(tp_cCoq_2eClasses_2eRelationClasses_2eEquivalence___24a2,type,
    cCoq_2eClasses_2eRelationClasses_2eEquivalence___24a2: $i > $i > $o ).

thf(tp_cCoq_2eClasses_2eRelationClasses_2ePreOrder,type,
    cCoq_2eClasses_2eRelationClasses_2ePreOrder: $i ).

thf(tp_cCoq_2eClasses_2eRelationClasses_2ePreOrder___24a2,type,
    cCoq_2eClasses_2eRelationClasses_2ePreOrder___24a2: $i > $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEmpty,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEmpty: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEmpty___24a1,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEmpty___24a1: $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEqual,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEqual: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEqual___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eEqual___24a2: $i > $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eIn,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eIn: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eIn___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eIn___24a2: $i > $i > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eLeaf,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eLeaf: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eNode,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eNode: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eNode___24a3,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eNode___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eSubset,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eSubset: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eSubset___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eSubset___24a2: $i > $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eadd,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eadd: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eadd___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eadd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t: $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eempty,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eempty: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eeq,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eeq: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2emem,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2emem: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2emem___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2emem___24a2: $i > $i > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2enode,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2enode: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2enode___24a3,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2enode___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eremove,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eremove: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eremove___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eremove___24a2: $i > $i > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2esingleton,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2esingleton: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2esingleton___24a1,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2esingleton___24a1: $i > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2et,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2et: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2et___24t,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2et___24t: $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2etree,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2etree: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2etree___24t,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2etree___24t: $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eunion,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eunion: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eunion___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eunion___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eByte_2ebyte,type,
    cCoq_2eInit_2eByte_2ebyte: $i ).

thf(tp_cCoq_2eInit_2eByte_2ebyte___24t,type,
    cCoq_2eInit_2eByte_2ebyte___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eByte_2ex00,type,
    cCoq_2eInit_2eByte_2ex00: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex01,type,
    cCoq_2eInit_2eByte_2ex01: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex02,type,
    cCoq_2eInit_2eByte_2ex02: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex03,type,
    cCoq_2eInit_2eByte_2ex03: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex04,type,
    cCoq_2eInit_2eByte_2ex04: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex05,type,
    cCoq_2eInit_2eByte_2ex05: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex06,type,
    cCoq_2eInit_2eByte_2ex06: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex07,type,
    cCoq_2eInit_2eByte_2ex07: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex08,type,
    cCoq_2eInit_2eByte_2ex08: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex09,type,
    cCoq_2eInit_2eByte_2ex09: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex0a,type,
    cCoq_2eInit_2eByte_2ex0a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex0b,type,
    cCoq_2eInit_2eByte_2ex0b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex0c,type,
    cCoq_2eInit_2eByte_2ex0c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex0d,type,
    cCoq_2eInit_2eByte_2ex0d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex0e,type,
    cCoq_2eInit_2eByte_2ex0e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex0f,type,
    cCoq_2eInit_2eByte_2ex0f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex10,type,
    cCoq_2eInit_2eByte_2ex10: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex11,type,
    cCoq_2eInit_2eByte_2ex11: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex12,type,
    cCoq_2eInit_2eByte_2ex12: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex13,type,
    cCoq_2eInit_2eByte_2ex13: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex14,type,
    cCoq_2eInit_2eByte_2ex14: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex15,type,
    cCoq_2eInit_2eByte_2ex15: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex16,type,
    cCoq_2eInit_2eByte_2ex16: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex17,type,
    cCoq_2eInit_2eByte_2ex17: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex18,type,
    cCoq_2eInit_2eByte_2ex18: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex19,type,
    cCoq_2eInit_2eByte_2ex19: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex1a,type,
    cCoq_2eInit_2eByte_2ex1a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex1b,type,
    cCoq_2eInit_2eByte_2ex1b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex1c,type,
    cCoq_2eInit_2eByte_2ex1c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex1d,type,
    cCoq_2eInit_2eByte_2ex1d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex1e,type,
    cCoq_2eInit_2eByte_2ex1e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex1f,type,
    cCoq_2eInit_2eByte_2ex1f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex20,type,
    cCoq_2eInit_2eByte_2ex20: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex21,type,
    cCoq_2eInit_2eByte_2ex21: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex22,type,
    cCoq_2eInit_2eByte_2ex22: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex23,type,
    cCoq_2eInit_2eByte_2ex23: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex24,type,
    cCoq_2eInit_2eByte_2ex24: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex25,type,
    cCoq_2eInit_2eByte_2ex25: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex26,type,
    cCoq_2eInit_2eByte_2ex26: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex27,type,
    cCoq_2eInit_2eByte_2ex27: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex28,type,
    cCoq_2eInit_2eByte_2ex28: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex29,type,
    cCoq_2eInit_2eByte_2ex29: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex2a,type,
    cCoq_2eInit_2eByte_2ex2a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex2b,type,
    cCoq_2eInit_2eByte_2ex2b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex2c,type,
    cCoq_2eInit_2eByte_2ex2c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex2d,type,
    cCoq_2eInit_2eByte_2ex2d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex2e,type,
    cCoq_2eInit_2eByte_2ex2e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex2f,type,
    cCoq_2eInit_2eByte_2ex2f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex30,type,
    cCoq_2eInit_2eByte_2ex30: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex31,type,
    cCoq_2eInit_2eByte_2ex31: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex32,type,
    cCoq_2eInit_2eByte_2ex32: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex33,type,
    cCoq_2eInit_2eByte_2ex33: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex34,type,
    cCoq_2eInit_2eByte_2ex34: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex35,type,
    cCoq_2eInit_2eByte_2ex35: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex36,type,
    cCoq_2eInit_2eByte_2ex36: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex37,type,
    cCoq_2eInit_2eByte_2ex37: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex38,type,
    cCoq_2eInit_2eByte_2ex38: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex39,type,
    cCoq_2eInit_2eByte_2ex39: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex3a,type,
    cCoq_2eInit_2eByte_2ex3a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex3b,type,
    cCoq_2eInit_2eByte_2ex3b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex3c,type,
    cCoq_2eInit_2eByte_2ex3c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex3d,type,
    cCoq_2eInit_2eByte_2ex3d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex3e,type,
    cCoq_2eInit_2eByte_2ex3e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex3f,type,
    cCoq_2eInit_2eByte_2ex3f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex40,type,
    cCoq_2eInit_2eByte_2ex40: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex41,type,
    cCoq_2eInit_2eByte_2ex41: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex42,type,
    cCoq_2eInit_2eByte_2ex42: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex43,type,
    cCoq_2eInit_2eByte_2ex43: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex44,type,
    cCoq_2eInit_2eByte_2ex44: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex45,type,
    cCoq_2eInit_2eByte_2ex45: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex46,type,
    cCoq_2eInit_2eByte_2ex46: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex47,type,
    cCoq_2eInit_2eByte_2ex47: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex48,type,
    cCoq_2eInit_2eByte_2ex48: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex49,type,
    cCoq_2eInit_2eByte_2ex49: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex4a,type,
    cCoq_2eInit_2eByte_2ex4a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex4b,type,
    cCoq_2eInit_2eByte_2ex4b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex4c,type,
    cCoq_2eInit_2eByte_2ex4c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex4d,type,
    cCoq_2eInit_2eByte_2ex4d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex4e,type,
    cCoq_2eInit_2eByte_2ex4e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex4f,type,
    cCoq_2eInit_2eByte_2ex4f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex50,type,
    cCoq_2eInit_2eByte_2ex50: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex51,type,
    cCoq_2eInit_2eByte_2ex51: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex52,type,
    cCoq_2eInit_2eByte_2ex52: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex53,type,
    cCoq_2eInit_2eByte_2ex53: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex54,type,
    cCoq_2eInit_2eByte_2ex54: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex55,type,
    cCoq_2eInit_2eByte_2ex55: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex56,type,
    cCoq_2eInit_2eByte_2ex56: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex57,type,
    cCoq_2eInit_2eByte_2ex57: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex58,type,
    cCoq_2eInit_2eByte_2ex58: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex59,type,
    cCoq_2eInit_2eByte_2ex59: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex5a,type,
    cCoq_2eInit_2eByte_2ex5a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex5b,type,
    cCoq_2eInit_2eByte_2ex5b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex5c,type,
    cCoq_2eInit_2eByte_2ex5c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex5d,type,
    cCoq_2eInit_2eByte_2ex5d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex5e,type,
    cCoq_2eInit_2eByte_2ex5e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex5f,type,
    cCoq_2eInit_2eByte_2ex5f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex60,type,
    cCoq_2eInit_2eByte_2ex60: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex61,type,
    cCoq_2eInit_2eByte_2ex61: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex62,type,
    cCoq_2eInit_2eByte_2ex62: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex63,type,
    cCoq_2eInit_2eByte_2ex63: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex64,type,
    cCoq_2eInit_2eByte_2ex64: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex65,type,
    cCoq_2eInit_2eByte_2ex65: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex66,type,
    cCoq_2eInit_2eByte_2ex66: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex67,type,
    cCoq_2eInit_2eByte_2ex67: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex68,type,
    cCoq_2eInit_2eByte_2ex68: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex69,type,
    cCoq_2eInit_2eByte_2ex69: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex6a,type,
    cCoq_2eInit_2eByte_2ex6a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex6b,type,
    cCoq_2eInit_2eByte_2ex6b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex6c,type,
    cCoq_2eInit_2eByte_2ex6c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex6d,type,
    cCoq_2eInit_2eByte_2ex6d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex6e,type,
    cCoq_2eInit_2eByte_2ex6e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex6f,type,
    cCoq_2eInit_2eByte_2ex6f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex70,type,
    cCoq_2eInit_2eByte_2ex70: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex71,type,
    cCoq_2eInit_2eByte_2ex71: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex72,type,
    cCoq_2eInit_2eByte_2ex72: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex73,type,
    cCoq_2eInit_2eByte_2ex73: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex74,type,
    cCoq_2eInit_2eByte_2ex74: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex75,type,
    cCoq_2eInit_2eByte_2ex75: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex76,type,
    cCoq_2eInit_2eByte_2ex76: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex77,type,
    cCoq_2eInit_2eByte_2ex77: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex78,type,
    cCoq_2eInit_2eByte_2ex78: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex79,type,
    cCoq_2eInit_2eByte_2ex79: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex7a,type,
    cCoq_2eInit_2eByte_2ex7a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex7b,type,
    cCoq_2eInit_2eByte_2ex7b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex7c,type,
    cCoq_2eInit_2eByte_2ex7c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex7d,type,
    cCoq_2eInit_2eByte_2ex7d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex7e,type,
    cCoq_2eInit_2eByte_2ex7e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex7f,type,
    cCoq_2eInit_2eByte_2ex7f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex80,type,
    cCoq_2eInit_2eByte_2ex80: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex81,type,
    cCoq_2eInit_2eByte_2ex81: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex82,type,
    cCoq_2eInit_2eByte_2ex82: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex83,type,
    cCoq_2eInit_2eByte_2ex83: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex84,type,
    cCoq_2eInit_2eByte_2ex84: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex85,type,
    cCoq_2eInit_2eByte_2ex85: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex86,type,
    cCoq_2eInit_2eByte_2ex86: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex87,type,
    cCoq_2eInit_2eByte_2ex87: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex88,type,
    cCoq_2eInit_2eByte_2ex88: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex89,type,
    cCoq_2eInit_2eByte_2ex89: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex8a,type,
    cCoq_2eInit_2eByte_2ex8a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex8b,type,
    cCoq_2eInit_2eByte_2ex8b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex8c,type,
    cCoq_2eInit_2eByte_2ex8c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex8d,type,
    cCoq_2eInit_2eByte_2ex8d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex8e,type,
    cCoq_2eInit_2eByte_2ex8e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex8f,type,
    cCoq_2eInit_2eByte_2ex8f: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex90,type,
    cCoq_2eInit_2eByte_2ex90: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex91,type,
    cCoq_2eInit_2eByte_2ex91: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex92,type,
    cCoq_2eInit_2eByte_2ex92: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex93,type,
    cCoq_2eInit_2eByte_2ex93: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex94,type,
    cCoq_2eInit_2eByte_2ex94: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex95,type,
    cCoq_2eInit_2eByte_2ex95: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex96,type,
    cCoq_2eInit_2eByte_2ex96: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex97,type,
    cCoq_2eInit_2eByte_2ex97: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex98,type,
    cCoq_2eInit_2eByte_2ex98: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex99,type,
    cCoq_2eInit_2eByte_2ex99: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex9a,type,
    cCoq_2eInit_2eByte_2ex9a: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex9b,type,
    cCoq_2eInit_2eByte_2ex9b: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex9c,type,
    cCoq_2eInit_2eByte_2ex9c: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex9d,type,
    cCoq_2eInit_2eByte_2ex9d: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex9e,type,
    cCoq_2eInit_2eByte_2ex9e: $i ).

thf(tp_cCoq_2eInit_2eByte_2ex9f,type,
    cCoq_2eInit_2eByte_2ex9f: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa0,type,
    cCoq_2eInit_2eByte_2exa0: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa1,type,
    cCoq_2eInit_2eByte_2exa1: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa2,type,
    cCoq_2eInit_2eByte_2exa2: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa3,type,
    cCoq_2eInit_2eByte_2exa3: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa4,type,
    cCoq_2eInit_2eByte_2exa4: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa5,type,
    cCoq_2eInit_2eByte_2exa5: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa6,type,
    cCoq_2eInit_2eByte_2exa6: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa7,type,
    cCoq_2eInit_2eByte_2exa7: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa8,type,
    cCoq_2eInit_2eByte_2exa8: $i ).

thf(tp_cCoq_2eInit_2eByte_2exa9,type,
    cCoq_2eInit_2eByte_2exa9: $i ).

thf(tp_cCoq_2eInit_2eByte_2exaa,type,
    cCoq_2eInit_2eByte_2exaa: $i ).

thf(tp_cCoq_2eInit_2eByte_2exab,type,
    cCoq_2eInit_2eByte_2exab: $i ).

thf(tp_cCoq_2eInit_2eByte_2exac,type,
    cCoq_2eInit_2eByte_2exac: $i ).

thf(tp_cCoq_2eInit_2eByte_2exad,type,
    cCoq_2eInit_2eByte_2exad: $i ).

thf(tp_cCoq_2eInit_2eByte_2exae,type,
    cCoq_2eInit_2eByte_2exae: $i ).

thf(tp_cCoq_2eInit_2eByte_2exaf,type,
    cCoq_2eInit_2eByte_2exaf: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb0,type,
    cCoq_2eInit_2eByte_2exb0: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb1,type,
    cCoq_2eInit_2eByte_2exb1: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb2,type,
    cCoq_2eInit_2eByte_2exb2: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb3,type,
    cCoq_2eInit_2eByte_2exb3: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb4,type,
    cCoq_2eInit_2eByte_2exb4: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb5,type,
    cCoq_2eInit_2eByte_2exb5: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb6,type,
    cCoq_2eInit_2eByte_2exb6: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb7,type,
    cCoq_2eInit_2eByte_2exb7: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb8,type,
    cCoq_2eInit_2eByte_2exb8: $i ).

thf(tp_cCoq_2eInit_2eByte_2exb9,type,
    cCoq_2eInit_2eByte_2exb9: $i ).

thf(tp_cCoq_2eInit_2eByte_2exba,type,
    cCoq_2eInit_2eByte_2exba: $i ).

thf(tp_cCoq_2eInit_2eByte_2exbb,type,
    cCoq_2eInit_2eByte_2exbb: $i ).

thf(tp_cCoq_2eInit_2eByte_2exbc,type,
    cCoq_2eInit_2eByte_2exbc: $i ).

thf(tp_cCoq_2eInit_2eByte_2exbd,type,
    cCoq_2eInit_2eByte_2exbd: $i ).

thf(tp_cCoq_2eInit_2eByte_2exbe,type,
    cCoq_2eInit_2eByte_2exbe: $i ).

thf(tp_cCoq_2eInit_2eByte_2exbf,type,
    cCoq_2eInit_2eByte_2exbf: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc0,type,
    cCoq_2eInit_2eByte_2exc0: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc1,type,
    cCoq_2eInit_2eByte_2exc1: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc2,type,
    cCoq_2eInit_2eByte_2exc2: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc3,type,
    cCoq_2eInit_2eByte_2exc3: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc4,type,
    cCoq_2eInit_2eByte_2exc4: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc5,type,
    cCoq_2eInit_2eByte_2exc5: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc6,type,
    cCoq_2eInit_2eByte_2exc6: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc7,type,
    cCoq_2eInit_2eByte_2exc7: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc8,type,
    cCoq_2eInit_2eByte_2exc8: $i ).

thf(tp_cCoq_2eInit_2eByte_2exc9,type,
    cCoq_2eInit_2eByte_2exc9: $i ).

thf(tp_cCoq_2eInit_2eByte_2exca,type,
    cCoq_2eInit_2eByte_2exca: $i ).

thf(tp_cCoq_2eInit_2eByte_2excb,type,
    cCoq_2eInit_2eByte_2excb: $i ).

thf(tp_cCoq_2eInit_2eByte_2excc,type,
    cCoq_2eInit_2eByte_2excc: $i ).

thf(tp_cCoq_2eInit_2eByte_2excd,type,
    cCoq_2eInit_2eByte_2excd: $i ).

thf(tp_cCoq_2eInit_2eByte_2exce,type,
    cCoq_2eInit_2eByte_2exce: $i ).

thf(tp_cCoq_2eInit_2eByte_2excf,type,
    cCoq_2eInit_2eByte_2excf: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd0,type,
    cCoq_2eInit_2eByte_2exd0: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd1,type,
    cCoq_2eInit_2eByte_2exd1: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd2,type,
    cCoq_2eInit_2eByte_2exd2: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd3,type,
    cCoq_2eInit_2eByte_2exd3: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd4,type,
    cCoq_2eInit_2eByte_2exd4: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd5,type,
    cCoq_2eInit_2eByte_2exd5: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd6,type,
    cCoq_2eInit_2eByte_2exd6: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd7,type,
    cCoq_2eInit_2eByte_2exd7: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd8,type,
    cCoq_2eInit_2eByte_2exd8: $i ).

thf(tp_cCoq_2eInit_2eByte_2exd9,type,
    cCoq_2eInit_2eByte_2exd9: $i ).

thf(tp_cCoq_2eInit_2eByte_2exda,type,
    cCoq_2eInit_2eByte_2exda: $i ).

thf(tp_cCoq_2eInit_2eByte_2exdb,type,
    cCoq_2eInit_2eByte_2exdb: $i ).

thf(tp_cCoq_2eInit_2eByte_2exdc,type,
    cCoq_2eInit_2eByte_2exdc: $i ).

thf(tp_cCoq_2eInit_2eByte_2exdd,type,
    cCoq_2eInit_2eByte_2exdd: $i ).

thf(tp_cCoq_2eInit_2eByte_2exde,type,
    cCoq_2eInit_2eByte_2exde: $i ).

thf(tp_cCoq_2eInit_2eByte_2exdf,type,
    cCoq_2eInit_2eByte_2exdf: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe0,type,
    cCoq_2eInit_2eByte_2exe0: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe1,type,
    cCoq_2eInit_2eByte_2exe1: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe2,type,
    cCoq_2eInit_2eByte_2exe2: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe3,type,
    cCoq_2eInit_2eByte_2exe3: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe4,type,
    cCoq_2eInit_2eByte_2exe4: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe5,type,
    cCoq_2eInit_2eByte_2exe5: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe6,type,
    cCoq_2eInit_2eByte_2exe6: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe7,type,
    cCoq_2eInit_2eByte_2exe7: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe8,type,
    cCoq_2eInit_2eByte_2exe8: $i ).

thf(tp_cCoq_2eInit_2eByte_2exe9,type,
    cCoq_2eInit_2eByte_2exe9: $i ).

thf(tp_cCoq_2eInit_2eByte_2exea,type,
    cCoq_2eInit_2eByte_2exea: $i ).

thf(tp_cCoq_2eInit_2eByte_2exeb,type,
    cCoq_2eInit_2eByte_2exeb: $i ).

thf(tp_cCoq_2eInit_2eByte_2exec,type,
    cCoq_2eInit_2eByte_2exec: $i ).

thf(tp_cCoq_2eInit_2eByte_2exed,type,
    cCoq_2eInit_2eByte_2exed: $i ).

thf(tp_cCoq_2eInit_2eByte_2exee,type,
    cCoq_2eInit_2eByte_2exee: $i ).

thf(tp_cCoq_2eInit_2eByte_2exef,type,
    cCoq_2eInit_2eByte_2exef: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf0,type,
    cCoq_2eInit_2eByte_2exf0: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf1,type,
    cCoq_2eInit_2eByte_2exf1: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf2,type,
    cCoq_2eInit_2eByte_2exf2: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf3,type,
    cCoq_2eInit_2eByte_2exf3: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf4,type,
    cCoq_2eInit_2eByte_2exf4: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf5,type,
    cCoq_2eInit_2eByte_2exf5: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf6,type,
    cCoq_2eInit_2eByte_2exf6: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf7,type,
    cCoq_2eInit_2eByte_2exf7: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf8,type,
    cCoq_2eInit_2eByte_2exf8: $i ).

thf(tp_cCoq_2eInit_2eByte_2exf9,type,
    cCoq_2eInit_2eByte_2exf9: $i ).

thf(tp_cCoq_2eInit_2eByte_2exfa,type,
    cCoq_2eInit_2eByte_2exfa: $i ).

thf(tp_cCoq_2eInit_2eByte_2exfb,type,
    cCoq_2eInit_2eByte_2exfb: $i ).

thf(tp_cCoq_2eInit_2eByte_2exfc,type,
    cCoq_2eInit_2eByte_2exfc: $i ).

thf(tp_cCoq_2eInit_2eByte_2exfd,type,
    cCoq_2eInit_2eByte_2exfd: $i ).

thf(tp_cCoq_2eInit_2eByte_2exfe,type,
    cCoq_2eInit_2eByte_2exfe: $i ).

thf(tp_cCoq_2eInit_2eByte_2exff,type,
    cCoq_2eInit_2eByte_2exff: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eBoolSpec,type,
    cCoq_2eInit_2eDatatypes_2eBoolSpec: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eBoolSpec___24a3,type,
    cCoq_2eInit_2eDatatypes_2eBoolSpec___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompOpp,type,
    cCoq_2eInit_2eDatatypes_2eCompOpp: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompOpp___24a1,type,
    cCoq_2eInit_2eDatatypes_2eCompOpp___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompareSpec,type,
    cCoq_2eInit_2eDatatypes_2eCompareSpec: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompareSpec___24a4,type,
    cCoq_2eInit_2eDatatypes_2eCompareSpec___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2eEq,type,
    cCoq_2eInit_2eDatatypes_2eEq: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eGt,type,
    cCoq_2eInit_2eDatatypes_2eGt: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eLt,type,
    cCoq_2eInit_2eDatatypes_2eLt: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eNone,type,
    cCoq_2eInit_2eDatatypes_2eNone: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eNone___24a1,type,
    cCoq_2eInit_2eDatatypes_2eNone___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eO,type,
    cCoq_2eInit_2eDatatypes_2eO: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eS,type,
    cCoq_2eInit_2eDatatypes_2eS: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eS___24a1,type,
    cCoq_2eInit_2eDatatypes_2eS___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eSome,type,
    cCoq_2eInit_2eDatatypes_2eSome: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eSome___24a2,type,
    cCoq_2eInit_2eDatatypes_2eSome___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eandb,type,
    cCoq_2eInit_2eDatatypes_2eandb: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eandb___24a2,type,
    cCoq_2eInit_2eDatatypes_2eandb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eapp,type,
    cCoq_2eInit_2eDatatypes_2eapp: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eapp___24a3,type,
    cCoq_2eInit_2eDatatypes_2eapp___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ebool,type,
    cCoq_2eInit_2eDatatypes_2ebool: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ebool___24t,type,
    cCoq_2eInit_2eDatatypes_2ebool___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2ebool__rec,type,
    cCoq_2eInit_2eDatatypes_2ebool__rec: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ebool__rec___24a1,type,
    cCoq_2eInit_2eDatatypes_2ebool__rec___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ebool__rect,type,
    cCoq_2eInit_2eDatatypes_2ebool__rect: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ebool__rect___24a1,type,
    cCoq_2eInit_2eDatatypes_2ebool__rect___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ecomparison,type,
    cCoq_2eInit_2eDatatypes_2ecomparison: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ecomparison___24t,type,
    cCoq_2eInit_2eDatatypes_2ecomparison___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2econs,type,
    cCoq_2eInit_2eDatatypes_2econs: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2econs___24a3,type,
    cCoq_2eInit_2eDatatypes_2econs___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2efalse,type,
    cCoq_2eInit_2eDatatypes_2efalse: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2efst,type,
    cCoq_2eInit_2eDatatypes_2efst: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2efst___24a3,type,
    cCoq_2eInit_2eDatatypes_2efst___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elength,type,
    cCoq_2eInit_2eDatatypes_2elength: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elength___24a2,type,
    cCoq_2eInit_2eDatatypes_2elength___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist,type,
    cCoq_2eInit_2eDatatypes_2elist: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist___24a1,type,
    cCoq_2eInit_2eDatatypes_2elist___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist___24t,type,
    cCoq_2eInit_2eDatatypes_2elist___24t: $i > $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist__rec,type,
    cCoq_2eInit_2eDatatypes_2elist__rec: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist__rec___24a2,type,
    cCoq_2eInit_2eDatatypes_2elist__rec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist__rect,type,
    cCoq_2eInit_2eDatatypes_2elist__rect: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist__rect___24a2,type,
    cCoq_2eInit_2eDatatypes_2elist__rect___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2elist__rect___24a5,type,
    cCoq_2eInit_2eDatatypes_2elist__rect___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enat,type,
    cCoq_2eInit_2eDatatypes_2enat: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enat___24t,type,
    cCoq_2eInit_2eDatatypes_2enat___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2enat__rec,type,
    cCoq_2eInit_2eDatatypes_2enat__rec: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enat__rec___24a1,type,
    cCoq_2eInit_2eDatatypes_2enat__rec___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enat__rect,type,
    cCoq_2eInit_2eDatatypes_2enat__rect: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enat__rect___24a1,type,
    cCoq_2eInit_2eDatatypes_2enat__rect___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enat__rect___24a3,type,
    cCoq_2eInit_2eDatatypes_2enat__rect___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enegb,type,
    cCoq_2eInit_2eDatatypes_2enegb: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enegb___24a1,type,
    cCoq_2eInit_2eDatatypes_2enegb___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enil,type,
    cCoq_2eInit_2eDatatypes_2enil: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2enil___24a1,type,
    cCoq_2eInit_2eDatatypes_2enil___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eoption,type,
    cCoq_2eInit_2eDatatypes_2eoption: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eoption___24a1,type,
    cCoq_2eInit_2eDatatypes_2eoption___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eoption___24t,type,
    cCoq_2eInit_2eDatatypes_2eoption___24t: $i > $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2eorb,type,
    cCoq_2eInit_2eDatatypes_2eorb: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eorb___24a2,type,
    cCoq_2eInit_2eDatatypes_2eorb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2epair,type,
    cCoq_2eInit_2eDatatypes_2epair: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2epair___24a4,type,
    cCoq_2eInit_2eDatatypes_2epair___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod,type,
    cCoq_2eInit_2eDatatypes_2eprod: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod___24a2,type,
    cCoq_2eInit_2eDatatypes_2eprod___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod___24t,type,
    cCoq_2eInit_2eDatatypes_2eprod___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2esnd,type,
    cCoq_2eInit_2eDatatypes_2esnd: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2esnd___24a3,type,
    cCoq_2eInit_2eDatatypes_2esnd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2etrue,type,
    cCoq_2eInit_2eDatatypes_2etrue: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2ett,type,
    cCoq_2eInit_2eDatatypes_2ett: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eunit,type,
    cCoq_2eInit_2eDatatypes_2eunit: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eunit___24t,type,
    cCoq_2eInit_2eDatatypes_2eunit___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eLogic_2eeq__ind,type,
    cCoq_2eInit_2eLogic_2eeq__ind: $i ).

thf(tp_cCoq_2eInit_2eLogic_2eeq__ind___24a4,type,
    cCoq_2eInit_2eLogic_2eeq__ind___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eLogic_2eeq__ind___24a6,type,
    cCoq_2eInit_2eLogic_2eeq__ind___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eLogic_2eeq__refl,type,
    cCoq_2eInit_2eLogic_2eeq__refl: $i ).

thf(tp_cCoq_2eInit_2eLogic_2eeq__refl___24a2,type,
    cCoq_2eInit_2eLogic_2eeq__refl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eadd,type,
    cCoq_2eInit_2eNat_2eadd: $i ).

thf(tp_cCoq_2eInit_2eNat_2eadd___24a2,type,
    cCoq_2eInit_2eNat_2eadd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2ecompare,type,
    cCoq_2eInit_2eNat_2ecompare: $i ).

thf(tp_cCoq_2eInit_2eNat_2ecompare___24a2,type,
    cCoq_2eInit_2eNat_2ecompare___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2ediv,type,
    cCoq_2eInit_2eNat_2ediv: $i ).

thf(tp_cCoq_2eInit_2eNat_2ediv2,type,
    cCoq_2eInit_2eNat_2ediv2: $i ).

thf(tp_cCoq_2eInit_2eNat_2ediv2___24a1,type,
    cCoq_2eInit_2eNat_2ediv2___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2ediv___24a2,type,
    cCoq_2eInit_2eNat_2ediv___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2edivmod,type,
    cCoq_2eInit_2eNat_2edivmod: $i ).

thf(tp_cCoq_2eInit_2eNat_2edivmod___24a4,type,
    cCoq_2eInit_2eNat_2edivmod___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2edouble,type,
    cCoq_2eInit_2eNat_2edouble: $i ).

thf(tp_cCoq_2eInit_2eNat_2eeqb,type,
    cCoq_2eInit_2eNat_2eeqb: $i ).

thf(tp_cCoq_2eInit_2eNat_2eeqb___24a2,type,
    cCoq_2eInit_2eNat_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eeven,type,
    cCoq_2eInit_2eNat_2eeven: $i ).

thf(tp_cCoq_2eInit_2eNat_2eeven___24a1,type,
    cCoq_2eInit_2eNat_2eeven___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2egcd,type,
    cCoq_2eInit_2eNat_2egcd: $i ).

thf(tp_cCoq_2eInit_2eNat_2egcd___24a2,type,
    cCoq_2eInit_2eNat_2egcd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eldiff,type,
    cCoq_2eInit_2eNat_2eldiff: $i ).

thf(tp_cCoq_2eInit_2eNat_2eldiff___24a2,type,
    cCoq_2eInit_2eNat_2eldiff___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eleb,type,
    cCoq_2eInit_2eNat_2eleb: $i ).

thf(tp_cCoq_2eInit_2eNat_2eleb___24a2,type,
    cCoq_2eInit_2eNat_2eleb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eltb,type,
    cCoq_2eInit_2eNat_2eltb: $i ).

thf(tp_cCoq_2eInit_2eNat_2eltb___24a2,type,
    cCoq_2eInit_2eNat_2eltb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2emax,type,
    cCoq_2eInit_2eNat_2emax: $i ).

thf(tp_cCoq_2eInit_2eNat_2emax___24a2,type,
    cCoq_2eInit_2eNat_2emax___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2emodulo,type,
    cCoq_2eInit_2eNat_2emodulo: $i ).

thf(tp_cCoq_2eInit_2eNat_2emodulo___24a2,type,
    cCoq_2eInit_2eNat_2emodulo___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2emul,type,
    cCoq_2eInit_2eNat_2emul: $i ).

thf(tp_cCoq_2eInit_2eNat_2emul___24a2,type,
    cCoq_2eInit_2eNat_2emul___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eodd,type,
    cCoq_2eInit_2eNat_2eodd: $i ).

thf(tp_cCoq_2eInit_2eNat_2eodd___24a1,type,
    cCoq_2eInit_2eNat_2eodd___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2epow,type,
    cCoq_2eInit_2eNat_2epow: $i ).

thf(tp_cCoq_2eInit_2eNat_2epow___24a2,type,
    cCoq_2eInit_2eNat_2epow___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2epred,type,
    cCoq_2eInit_2eNat_2epred: $i ).

thf(tp_cCoq_2eInit_2eNat_2epred___24a1,type,
    cCoq_2eInit_2eNat_2epred___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eshiftl,type,
    cCoq_2eInit_2eNat_2eshiftl: $i ).

thf(tp_cCoq_2eInit_2eNat_2eshiftl___24a1,type,
    cCoq_2eInit_2eNat_2eshiftl___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2eshiftl___24a2,type,
    cCoq_2eInit_2eNat_2eshiftl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2esub,type,
    cCoq_2eInit_2eNat_2esub: $i ).

thf(tp_cCoq_2eInit_2eNat_2esub___24a2,type,
    cCoq_2eInit_2eNat_2esub___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2etestbit,type,
    cCoq_2eInit_2eNat_2etestbit: $i ).

thf(tp_cCoq_2eInit_2eNat_2etestbit___24a2,type,
    cCoq_2eInit_2eNat_2etestbit___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2ePeano_2ege,type,
    cCoq_2eInit_2ePeano_2ege: $i ).

thf(tp_cCoq_2eInit_2ePeano_2ege___24a2,type,
    cCoq_2eInit_2ePeano_2ege___24a2: $i > $i > $o ).

thf(tp_cCoq_2eInit_2ePeano_2egt,type,
    cCoq_2eInit_2ePeano_2egt: $i ).

thf(tp_cCoq_2eInit_2ePeano_2egt___24a2,type,
    cCoq_2eInit_2ePeano_2egt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eInit_2ePeano_2ele,type,
    cCoq_2eInit_2ePeano_2ele: $i ).

thf(tp_cCoq_2eInit_2ePeano_2ele___24a2,type,
    cCoq_2eInit_2ePeano_2ele___24a2: $i > $i > $o ).

thf(tp_cCoq_2eInit_2ePeano_2elt,type,
    cCoq_2eInit_2ePeano_2elt: $i ).

thf(tp_cCoq_2eInit_2ePeano_2elt___24a2,type,
    cCoq_2eInit_2ePeano_2elt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eInit_2eSpecif_2eexist,type,
    cCoq_2eInit_2eSpecif_2eexist: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eexistT,type,
    cCoq_2eInit_2eSpecif_2eexistT: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eexistT___24a4,type,
    cCoq_2eInit_2eSpecif_2eexistT___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eexist___24a3,type,
    cCoq_2eInit_2eSpecif_2eexist___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2einleft,type,
    cCoq_2eInit_2eSpecif_2einleft: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2einleft___24a3,type,
    cCoq_2eInit_2eSpecif_2einleft___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2einright,type,
    cCoq_2eInit_2eSpecif_2einright: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2einright___24a2,type,
    cCoq_2eInit_2eSpecif_2einright___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eleft,type,
    cCoq_2eInit_2eSpecif_2eleft: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eleft___24a2,type,
    cCoq_2eInit_2eSpecif_2eleft___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eright,type,
    cCoq_2eInit_2eSpecif_2eright: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eright___24a2,type,
    cCoq_2eInit_2eSpecif_2eright___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esig,type,
    cCoq_2eInit_2eSpecif_2esig: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esigT,type,
    cCoq_2eInit_2eSpecif_2esigT: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esigT___24a2,type,
    cCoq_2eInit_2eSpecif_2esigT___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esigT___24t,type,
    cCoq_2eInit_2eSpecif_2esigT___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eSpecif_2esig___24a2,type,
    cCoq_2eInit_2eSpecif_2esig___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esig___24t,type,
    cCoq_2eInit_2eSpecif_2esig___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eSpecif_2esumbool,type,
    cCoq_2eInit_2eSpecif_2esumbool: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumbool___24a2,type,
    cCoq_2eInit_2eSpecif_2esumbool___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumbool___24t,type,
    cCoq_2eInit_2eSpecif_2esumbool___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eSpecif_2esumbool__rec,type,
    cCoq_2eInit_2eSpecif_2esumbool__rec: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumbool__rec___24a3,type,
    cCoq_2eInit_2eSpecif_2esumbool__rec___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumbool__rect,type,
    cCoq_2eInit_2eSpecif_2esumbool__rect: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumbool__rect___24a3,type,
    cCoq_2eInit_2eSpecif_2esumbool__rect___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumor,type,
    cCoq_2eInit_2eSpecif_2esumor: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumor___24a2,type,
    cCoq_2eInit_2eSpecif_2esumor___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esumor___24t,type,
    cCoq_2eInit_2eSpecif_2esumor___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eWf_2eAcc,type,
    cCoq_2eInit_2eWf_2eAcc: $i ).

thf(tp_cCoq_2eInit_2eWf_2eAcc___24a3,type,
    cCoq_2eInit_2eWf_2eAcc___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eWf_2ewell__founded,type,
    cCoq_2eInit_2eWf_2ewell__founded: $i ).

thf(tp_cCoq_2eInit_2eWf_2ewell__founded___24a2,type,
    cCoq_2eInit_2eWf_2ewell__founded___24a2: $i > $i > $o ).

thf(tp_cCoq_2eLists_2eListDec_2eIn__dec,type,
    cCoq_2eLists_2eListDec_2eIn__dec: $i ).

thf(tp_cCoq_2eLists_2eListDec_2eIn__dec___24a2,type,
    cCoq_2eLists_2eListDec_2eIn__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2eAdd,type,
    cCoq_2eLists_2eList_2eAdd: $i ).

thf(tp_cCoq_2eLists_2eList_2eAdd___24a4,type,
    cCoq_2eLists_2eList_2eAdd___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eList_2eExists,type,
    cCoq_2eLists_2eList_2eExists: $i ).

thf(tp_cCoq_2eLists_2eList_2eExists___24a3,type,
    cCoq_2eLists_2eList_2eExists___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eList_2eForall,type,
    cCoq_2eLists_2eList_2eForall: $i ).

thf(tp_cCoq_2eLists_2eList_2eForall___24a3,type,
    cCoq_2eLists_2eList_2eForall___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eList_2eIn,type,
    cCoq_2eLists_2eList_2eIn: $i ).

thf(tp_cCoq_2eLists_2eList_2eIn___24a3,type,
    cCoq_2eLists_2eList_2eIn___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2eNoDup,type,
    cCoq_2eLists_2eList_2eNoDup: $i ).

thf(tp_cCoq_2eLists_2eList_2eNoDup___24a2,type,
    cCoq_2eLists_2eList_2eNoDup___24a2: $i > $i > $o ).

thf(tp_cCoq_2eLists_2eList_2ecount__occ,type,
    cCoq_2eLists_2eList_2ecount__occ: $i ).

thf(tp_cCoq_2eLists_2eList_2ecount__occ___24a4,type,
    cCoq_2eLists_2eList_2ecount__occ___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2efold__right,type,
    cCoq_2eLists_2eList_2efold__right: $i ).

thf(tp_cCoq_2eLists_2eList_2efold__right___24a5,type,
    cCoq_2eLists_2eList_2efold__right___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2ehd__error,type,
    cCoq_2eLists_2eList_2ehd__error: $i ).

thf(tp_cCoq_2eLists_2eList_2ehd__error___24a2,type,
    cCoq_2eLists_2eList_2ehd__error___24a2: $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2ein__dec,type,
    cCoq_2eLists_2eList_2ein__dec: $i ).

thf(tp_cCoq_2eLists_2eList_2ein__dec___24a2,type,
    cCoq_2eLists_2eList_2ein__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2eincl,type,
    cCoq_2eLists_2eList_2eincl: $i ).

thf(tp_cCoq_2eLists_2eList_2eincl___24a3,type,
    cCoq_2eLists_2eList_2eincl___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eList_2elast,type,
    cCoq_2eLists_2eList_2elast: $i ).

thf(tp_cCoq_2eLists_2eList_2elast___24a3,type,
    cCoq_2eLists_2eList_2elast___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2emap,type,
    cCoq_2eLists_2eList_2emap: $i ).

thf(tp_cCoq_2eLists_2eList_2emap___24a4,type,
    cCoq_2eLists_2eList_2emap___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2enth__error,type,
    cCoq_2eLists_2eList_2enth__error: $i ).

thf(tp_cCoq_2eLists_2eList_2enth__error___24a3,type,
    cCoq_2eLists_2eList_2enth__error___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2eremove,type,
    cCoq_2eLists_2eList_2eremove: $i ).

thf(tp_cCoq_2eLists_2eList_2eremove___24a4,type,
    cCoq_2eLists_2eList_2eremove___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2eInA,type,
    cCoq_2eLists_2eSetoidList_2eInA: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2eInA___24a4,type,
    cCoq_2eLists_2eSetoidList_2eInA___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eSetoidList_2eNoDupA,type,
    cCoq_2eLists_2eSetoidList_2eNoDupA: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2eNoDupA___24a3,type,
    cCoq_2eLists_2eSetoidList_2eNoDupA___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eSetoidList_2eequivlistA,type,
    cCoq_2eLists_2eSetoidList_2eequivlistA: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2eequivlistA___24a4,type,
    cCoq_2eLists_2eSetoidList_2eequivlistA___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose,type,
    cCoq_2eLists_2eSetoidList_2etranspose: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose___24a4,type,
    cCoq_2eLists_2eSetoidList_2etranspose___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLogic_2eDecidable_2edecidable,type,
    cCoq_2eLogic_2eDecidable_2edecidable: $i ).

thf(tp_cCoq_2eLogic_2eDecidable_2edecidable___24a1,type,
    cCoq_2eLogic_2eDecidable_2edecidable___24a1: $i > $o ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq,type,
    cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq___24a1,type,
    cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq___24a1: $i > $o ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq__on,type,
    cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq__on: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq__on___24a4,type,
    cCoq_2eLogic_2eEqdepFacts_2eEq__rect__eq__on___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eeq__dep,type,
    cCoq_2eLogic_2eEqdepFacts_2eeq__dep: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eeq__dep___24a6,type,
    cCoq_2eLogic_2eEqdepFacts_2eeq__dep___24a6: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLogic_2eFinFun_2eEqDec,type,
    cCoq_2eLogic_2eFinFun_2eEqDec: $i ).

thf(tp_cCoq_2eLogic_2eFinFun_2eEqDec___24a1,type,
    cCoq_2eLogic_2eFinFun_2eEqDec___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eadd,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eadd: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eadd___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eadd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ecompare,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ecompare: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ecompare___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ecompare___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ediv,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ediv___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ediv__eucl,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv__eucl: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ediv__eucl___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv__eucl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2edouble,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2edouble: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2edouble___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2edouble___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eeqb,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eeqb: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eeqb___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eeven,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eeven: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eeven___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eeven___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2egcd,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2egcd: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2egcd___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2egcd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eldiff,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eldiff: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eldiff___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eldiff___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eleb,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eleb: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eleb___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eleb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2elog2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2elog2: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2elog2___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2elog2___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emodulo,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emodulo: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emodulo___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emodulo___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emul,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emul: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emul___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emul___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eodd,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eodd: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eodd___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eodd___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epow,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2epow: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epow___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2epow___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epred,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2epred: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epred___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2epred___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eshiftl,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eshiftl: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eshiftl___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eshiftl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esub,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esub: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esub___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esub___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esucc,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esucc: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esucc___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esucc___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esucc__double,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esucc__double: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esucc__double___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esucc__double___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2etestbit,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2etestbit: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2etestbit___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2etestbit___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eclearbit,type,
    cCoq_2eNArith_2eBinNat_2eN_2eclearbit: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eclearbit___24a2,type,
    cCoq_2eNArith_2eBinNat_2eN_2eclearbit___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2edivide,type,
    cCoq_2eNArith_2eBinNat_2eN_2edivide: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2edivide___24a2,type,
    cCoq_2eNArith_2eBinNat_2eN_2edivide___24a2: $i > $i > $o ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eeq,type,
    cCoq_2eNArith_2eBinNat_2eN_2eeq: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eeq__dec,type,
    cCoq_2eNArith_2eBinNat_2eN_2eeq__dec: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ege,type,
    cCoq_2eNArith_2eBinNat_2eN_2ege: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ege___24a2,type,
    cCoq_2eNArith_2eBinNat_2eN_2ege___24a2: $i > $i > $o ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ele,type,
    cCoq_2eNArith_2eBinNat_2eN_2ele: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ele___24a2,type,
    cCoq_2eNArith_2eBinNat_2eN_2ele___24a2: $i > $i > $o ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2elt,type,
    cCoq_2eNArith_2eBinNat_2eN_2elt: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2elt___24a2,type,
    cCoq_2eNArith_2eBinNat_2eN_2elt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eNArith_2eNdigits_2eeqf,type,
    cCoq_2eNArith_2eNdigits_2eeqf: $i ).

thf(tp_cCoq_2eNArith_2eNdigits_2eeqf___24a2,type,
    cCoq_2eNArith_2eNdigits_2eeqf___24a2: $i > $i > $o ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eN,type,
    cCoq_2eNumbers_2eBinNums_2eN: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eN0,type,
    cCoq_2eNumbers_2eBinNums_2eN0: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eN___24t,type,
    cCoq_2eNumbers_2eBinNums_2eN___24t: $i > $o ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eN__rec,type,
    cCoq_2eNumbers_2eBinNums_2eN__rec: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eN__rec___24a1,type,
    cCoq_2eNumbers_2eBinNums_2eN__rec___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eN__rect,type,
    cCoq_2eNumbers_2eBinNums_2eN__rect: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eN__rect___24a1,type,
    cCoq_2eNumbers_2eBinNums_2eN__rect___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eNpos,type,
    cCoq_2eNumbers_2eBinNums_2eNpos: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eNpos___24a1,type,
    cCoq_2eNumbers_2eBinNums_2eNpos___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZ,type,
    cCoq_2eNumbers_2eBinNums_2eZ: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZ0,type,
    cCoq_2eNumbers_2eBinNums_2eZ0: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZ___24t,type,
    cCoq_2eNumbers_2eBinNums_2eZ___24t: $i > $o ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZ__rec,type,
    cCoq_2eNumbers_2eBinNums_2eZ__rec: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZ__rec___24a1,type,
    cCoq_2eNumbers_2eBinNums_2eZ__rec___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZ__rect,type,
    cCoq_2eNumbers_2eBinNums_2eZ__rect: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZ__rect___24a1,type,
    cCoq_2eNumbers_2eBinNums_2eZ__rect___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZneg,type,
    cCoq_2eNumbers_2eBinNums_2eZneg: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZneg___24a1,type,
    cCoq_2eNumbers_2eBinNums_2eZneg___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZpos,type,
    cCoq_2eNumbers_2eBinNums_2eZpos: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2eZpos___24a1,type,
    cCoq_2eNumbers_2eBinNums_2eZpos___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2epositive,type,
    cCoq_2eNumbers_2eBinNums_2epositive: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2epositive___24t,type,
    cCoq_2eNumbers_2eBinNums_2epositive___24t: $i > $o ).

thf(tp_cCoq_2eNumbers_2eBinNums_2epositive__rec,type,
    cCoq_2eNumbers_2eBinNums_2epositive__rec: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2epositive__rec___24a1,type,
    cCoq_2eNumbers_2eBinNums_2epositive__rec___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2epositive__rect,type,
    cCoq_2eNumbers_2eBinNums_2epositive__rect: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2epositive__rect___24a1,type,
    cCoq_2eNumbers_2eBinNums_2epositive__rect___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2exH,type,
    cCoq_2eNumbers_2eBinNums_2exH: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2exI,type,
    cCoq_2eNumbers_2eBinNums_2exI: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2exI___24a1,type,
    cCoq_2eNumbers_2eBinNums_2exI___24a1: $i > $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2exO,type,
    cCoq_2eNumbers_2eBinNums_2exO: $i ).

thf(tp_cCoq_2eNumbers_2eBinNums_2exO___24a1,type,
    cCoq_2eNumbers_2eBinNums_2exO___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNeg,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNeg: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNul,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNul: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eadd,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eadd: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eadd___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eadd___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont___24a3,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2egcd,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2egcd: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2egcd___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2egcd___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op___24a4,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eleb,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eleb: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eleb___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eleb___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emul,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emul: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emul___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emul___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eof__nat,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eof__nat: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eof__nat___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eof__nat___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epow,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epow: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epow___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epow___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epred: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epred___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esize,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esize: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esize___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esize___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esub: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esub___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esucc,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esucc: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esucc___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esucc___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit__nat,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit__nat: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit__nat___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit__nat___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit__nat___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit__nat___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eeq__dec,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eeq__dec: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ege,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ege: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ege___24a2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ege___24a2: $i > $i > $o ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2egt,type,
    cCoq_2ePArith_2eBinPos_2ePos_2egt: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2egt___24a2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2egt___24a2: $i > $i > $o ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ele,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ele: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ele___24a2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ele___24a2: $i > $i > $o ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2elt,type,
    cCoq_2ePArith_2eBinPos_2ePos_2elt: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2elt___24a2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2elt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQ,type,
    cCoq_2eQArith_2eQArith__base_2eQ: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQ___24t,type,
    cCoq_2eQArith_2eQArith__base_2eQ___24t: $i > $o ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQcompare,type,
    cCoq_2eQArith_2eQArith__base_2eQcompare: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQcompare___24a2,type,
    cCoq_2eQArith_2eQArith__base_2eQcompare___24a2: $i > $i > $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQden,type,
    cCoq_2eQArith_2eQArith__base_2eQden: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQden___24a1,type,
    cCoq_2eQArith_2eQArith__base_2eQden___24a1: $i > $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQeq,type,
    cCoq_2eQArith_2eQArith__base_2eQeq: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQeq___24a2,type,
    cCoq_2eQArith_2eQArith__base_2eQeq___24a2: $i > $i > $o ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQeq__bool,type,
    cCoq_2eQArith_2eQArith__base_2eQeq__bool: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQeq__bool___24a2,type,
    cCoq_2eQArith_2eQArith__base_2eQeq__bool___24a2: $i > $i > $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQle,type,
    cCoq_2eQArith_2eQArith__base_2eQle: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQle___24a2,type,
    cCoq_2eQArith_2eQArith__base_2eQle___24a2: $i > $i > $o ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQmake,type,
    cCoq_2eQArith_2eQArith__base_2eQmake: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQmake___24a2,type,
    cCoq_2eQArith_2eQArith__base_2eQmake___24a2: $i > $i > $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQnum,type,
    cCoq_2eQArith_2eQArith__base_2eQnum: $i ).

thf(tp_cCoq_2eQArith_2eQArith__base_2eQnum___24a1,type,
    cCoq_2eQArith_2eQArith__base_2eQnum___24a1: $i > $i ).

thf(tp_cCoq_2eQArith_2eQreals_2eQ2R,type,
    cCoq_2eQArith_2eQreals_2eQ2R: $i ).

thf(tp_cCoq_2eQArith_2eQreals_2eQ2R___24a1,type,
    cCoq_2eQArith_2eQreals_2eQ2R___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRIneq_2eReq__EM__T,type,
    cCoq_2eReals_2eRIneq_2eReq__EM__T: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2eRle__dec,type,
    cCoq_2eReals_2eRIneq_2eRle__dec: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2eRsqr,type,
    cCoq_2eReals_2eRIneq_2eRsqr: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2eRsqr___24a1,type,
    cCoq_2eReals_2eRIneq_2eRsqr___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emknonzeroreal,type,
    cCoq_2eReals_2eRIneq_2emknonzeroreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emknonzeroreal___24a1,type,
    cCoq_2eReals_2eRIneq_2emknonzeroreal___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enonzero,type,
    cCoq_2eReals_2eRIneq_2enonzero: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enonzero___24a1,type,
    cCoq_2eReals_2eRIneq_2enonzero___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enonzeroreal,type,
    cCoq_2eReals_2eRIneq_2enonzeroreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enonzeroreal___24t,type,
    cCoq_2eReals_2eRIneq_2enonzeroreal___24t: $i > $o ).

thf(tp_cCoq_2eReals_2eR__Ifp_2eInt__part,type,
    cCoq_2eReals_2eR__Ifp_2eInt__part: $i ).

thf(tp_cCoq_2eReals_2eR__Ifp_2eInt__part___24a1,type,
    cCoq_2eReals_2eR__Ifp_2eInt__part___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eR__Ifp_2efrac__part,type,
    cCoq_2eReals_2eR__Ifp_2efrac__part: $i ).

thf(tp_cCoq_2eReals_2eR__Ifp_2efrac__part___24a1,type,
    cCoq_2eReals_2eR__Ifp_2efrac__part___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRaxioms_2eINR,type,
    cCoq_2eReals_2eRaxioms_2eINR: $i ).

thf(tp_cCoq_2eReals_2eRaxioms_2eINR___24a1,type,
    cCoq_2eReals_2eRaxioms_2eINR___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRaxioms_2etotal__order__T,type,
    cCoq_2eReals_2eRaxioms_2etotal__order__T: $i ).

thf(tp_cCoq_2eReals_2eRbasic__fun_2eRabs,type,
    cCoq_2eReals_2eRbasic__fun_2eRabs: $i ).

thf(tp_cCoq_2eReals_2eRbasic__fun_2eRabs___24a1,type,
    cCoq_2eReals_2eRbasic__fun_2eRabs___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRbasic__fun_2eRcase__abs,type,
    cCoq_2eReals_2eRbasic__fun_2eRcase__abs: $i ).

thf(tp_cCoq_2eReals_2eRbasic__fun_2eRcase__abs___24a1,type,
    cCoq_2eReals_2eRbasic__fun_2eRcase__abs___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eIPR,type,
    cCoq_2eReals_2eRdefinitions_2eIPR: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eIPR___24a1,type,
    cCoq_2eReals_2eRdefinitions_2eIPR___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eIZR,type,
    cCoq_2eReals_2eRdefinitions_2eIZR: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eIZR___24a1,type,
    cCoq_2eReals_2eRdefinitions_2eIZR___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eR,type,
    cCoq_2eReals_2eRdefinitions_2eR: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eR0,type,
    cCoq_2eReals_2eRdefinitions_2eR0: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eR1,type,
    cCoq_2eReals_2eRdefinitions_2eR1: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eR___24t,type,
    cCoq_2eReals_2eRdefinitions_2eR___24t: $i > $o ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRdiv,type,
    cCoq_2eReals_2eRdefinitions_2eRdiv: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRdiv___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRdiv___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRge,type,
    cCoq_2eReals_2eRdefinitions_2eRge: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRge___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRge___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRgt,type,
    cCoq_2eReals_2eRdefinitions_2eRgt: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRgt___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRgt___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRinv,type,
    cCoq_2eReals_2eRdefinitions_2eRinv: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRinv___24a1,type,
    cCoq_2eReals_2eRdefinitions_2eRinv___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRle,type,
    cCoq_2eReals_2eRdefinitions_2eRle: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRle___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRle___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRlt,type,
    cCoq_2eReals_2eRdefinitions_2eRlt: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRlt___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRlt___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRminus,type,
    cCoq_2eReals_2eRdefinitions_2eRminus: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRminus___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRminus___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRmult,type,
    cCoq_2eReals_2eRdefinitions_2eRmult: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRmult___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRmult___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRopp,type,
    cCoq_2eReals_2eRdefinitions_2eRopp: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRopp___24a1,type,
    cCoq_2eReals_2eRdefinitions_2eRopp___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRplus,type,
    cCoq_2eReals_2eRdefinitions_2eRplus: $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eRplus___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRplus___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRdefinitions_2eup,type,
    cCoq_2eReals_2eRdefinitions_2eup: $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZ__spec,type,
    cCoq_2eReals_2eRfunctions_2eZ__spec: $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZ__spec___24a2,type,
    cCoq_2eReals_2eRfunctions_2eZ__spec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZ__spec___24t,type,
    cCoq_2eReals_2eRfunctions_2eZ__spec___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZintNeg,type,
    cCoq_2eReals_2eRfunctions_2eZintNeg: $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZintNeg___24a2,type,
    cCoq_2eReals_2eRfunctions_2eZintNeg___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZintNull,type,
    cCoq_2eReals_2eRfunctions_2eZintNull: $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZintNull___24a1,type,
    cCoq_2eReals_2eRfunctions_2eZintNull___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZintPos,type,
    cCoq_2eReals_2eRfunctions_2eZintPos: $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eZintPos___24a2,type,
    cCoq_2eReals_2eRfunctions_2eZintPos___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2eintP,type,
    cCoq_2eReals_2eRfunctions_2eintP: $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2epowerRZ,type,
    cCoq_2eReals_2eRfunctions_2epowerRZ: $i ).

thf(tp_cCoq_2eReals_2eRfunctions_2epowerRZ___24a2,type,
    cCoq_2eReals_2eRfunctions_2epowerRZ___24a2: $i > $i > $i ).

thf(tp_cCoq_2eReals_2eRpow__def_2epow,type,
    cCoq_2eReals_2eRpow__def_2epow: $i ).

thf(tp_cCoq_2eReals_2eRpow__def_2epow___24a2,type,
    cCoq_2eReals_2eRpow__def_2epow___24a2: $i > $i > $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2erelation,type,
    cCoq_2eRelations_2eRelation__Definitions_2erelation: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2erelation___24a1,type,
    cCoq_2eRelations_2eRelation__Definitions_2erelation___24a1: $i > $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2erelation___24t,type,
    cCoq_2eRelations_2eRelation__Definitions_2erelation___24t: $i > $i > $o ).

thf(tp_cCoq_2eSetoids_2eSetoid_2eSetoid__Theory,type,
    cCoq_2eSetoids_2eSetoid_2eSetoid__Theory: $i ).

thf(tp_cCoq_2eSetoids_2eSetoid_2eSetoid__Theory___24a2,type,
    cCoq_2eSetoids_2eSetoid_2eSetoid__Theory___24a2: $i > $i > $o ).

thf(tp_cCoq_2eSorting_2ePermutation_2ePermutation,type,
    cCoq_2eSorting_2ePermutation_2ePermutation: $i ).

thf(tp_cCoq_2eSorting_2ePermutation_2ePermutation___24a3,type,
    cCoq_2eSorting_2ePermutation_2ePermutation___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eStrings_2eAscii_2eAscii,type,
    cCoq_2eStrings_2eAscii_2eAscii: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eAscii___24a8,type,
    cCoq_2eStrings_2eAscii_2eAscii___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii,type,
    cCoq_2eStrings_2eAscii_2eascii: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii___24t,type,
    cCoq_2eStrings_2eAscii_2eascii___24t: $i > $o ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii__dec,type,
    cCoq_2eStrings_2eAscii_2eascii__dec: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii__dec___24a2,type,
    cCoq_2eStrings_2eAscii_2eascii__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii__rec,type,
    cCoq_2eStrings_2eAscii_2eascii__rec: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii__rec___24a1,type,
    cCoq_2eStrings_2eAscii_2eascii__rec___24a1: $i > $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii__rect,type,
    cCoq_2eStrings_2eAscii_2eascii__rect: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eascii__rect___24a1,type,
    cCoq_2eStrings_2eAscii_2eascii__rect___24a1: $i > $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eeqb,type,
    cCoq_2eStrings_2eAscii_2eeqb: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eeqb___24a2,type,
    cCoq_2eStrings_2eAscii_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eAscii_2eeqb__spec,type,
    cCoq_2eStrings_2eAscii_2eeqb__spec: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2enat__of__ascii,type,
    cCoq_2eStrings_2eAscii_2enat__of__ascii: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2enat__of__ascii___24a1,type,
    cCoq_2eStrings_2eAscii_2enat__of__ascii___24a1: $i > $i ).

thf(tp_cCoq_2eStrings_2eByte_2eeqb,type,
    cCoq_2eStrings_2eByte_2eeqb: $i ).

thf(tp_cCoq_2eStrings_2eByte_2eeqb___24a2,type,
    cCoq_2eStrings_2eByte_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2eEmptyString,type,
    cCoq_2eStrings_2eString_2eEmptyString: $i ).

thf(tp_cCoq_2eStrings_2eString_2eString,type,
    cCoq_2eStrings_2eString_2eString: $i ).

thf(tp_cCoq_2eStrings_2eString_2eString___24a2,type,
    cCoq_2eStrings_2eString_2eString___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2eeqb,type,
    cCoq_2eStrings_2eString_2eeqb: $i ).

thf(tp_cCoq_2eStrings_2eString_2eeqb___24a2,type,
    cCoq_2eStrings_2eString_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2eeqb__spec,type,
    cCoq_2eStrings_2eString_2eeqb__spec: $i ).

thf(tp_cCoq_2eStrings_2eString_2elength,type,
    cCoq_2eStrings_2eString_2elength: $i ).

thf(tp_cCoq_2eStrings_2eString_2elength___24a1,type,
    cCoq_2eStrings_2eString_2elength___24a1: $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2eprefix,type,
    cCoq_2eStrings_2eString_2eprefix: $i ).

thf(tp_cCoq_2eStrings_2eString_2eprefix___24a2,type,
    cCoq_2eStrings_2eString_2eprefix___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2estring,type,
    cCoq_2eStrings_2eString_2estring: $i ).

thf(tp_cCoq_2eStrings_2eString_2estring___24t,type,
    cCoq_2eStrings_2eString_2estring___24t: $i > $o ).

thf(tp_cCoq_2eStrings_2eString_2estring__dec,type,
    cCoq_2eStrings_2eString_2estring__dec: $i ).

thf(tp_cCoq_2eStrings_2eString_2estring__dec___24a2,type,
    cCoq_2eStrings_2eString_2estring__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2estring__rec,type,
    cCoq_2eStrings_2eString_2estring__rec: $i ).

thf(tp_cCoq_2eStrings_2eString_2estring__rec___24a1,type,
    cCoq_2eStrings_2eString_2estring__rec___24a1: $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2estring__rect,type,
    cCoq_2eStrings_2eString_2estring__rect: $i ).

thf(tp_cCoq_2eStrings_2eString_2estring__rect___24a1,type,
    cCoq_2eStrings_2eString_2estring__rect___24a1: $i > $i ).

thf(tp_cCoq_2eStrings_2eString_2esubstring,type,
    cCoq_2eStrings_2eString_2esubstring: $i ).

thf(tp_cCoq_2eStrings_2eString_2esubstring___24a3,type,
    cCoq_2eStrings_2eString_2esubstring___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2eeq__dec,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2eeq__dec: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2eeq__dec,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2eeq__dec: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt___24a2,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq__dec,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq__dec: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq__dec___24a2,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2eeq__dec,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2eeq__dec: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2eeq__dec,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2eeq__dec: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2eeq__dec___24a2,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2eeq__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts___24a2,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts___24a2: $i > $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2eeq__dec,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2eeq__dec: $i ).

thf(tp_cCoq_2eVectors_2eFin_2eF1,type,
    cCoq_2eVectors_2eFin_2eF1: $i ).

thf(tp_cCoq_2eVectors_2eFin_2eF1___24a1,type,
    cCoq_2eVectors_2eFin_2eF1___24a1: $i > $i ).

thf(tp_cCoq_2eVectors_2eFin_2eFS,type,
    cCoq_2eVectors_2eFin_2eFS: $i ).

thf(tp_cCoq_2eVectors_2eFin_2eFS___24a2,type,
    cCoq_2eVectors_2eFin_2eFS___24a2: $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eFin_2eeqb,type,
    cCoq_2eVectors_2eFin_2eeqb: $i ).

thf(tp_cCoq_2eVectors_2eFin_2eeqb___24a4,type,
    cCoq_2eVectors_2eFin_2eeqb___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eFin_2et,type,
    cCoq_2eVectors_2eFin_2et: $i ).

thf(tp_cCoq_2eVectors_2eFin_2et___24a1,type,
    cCoq_2eVectors_2eFin_2et___24a1: $i > $i ).

thf(tp_cCoq_2eVectors_2eFin_2et___24t,type,
    cCoq_2eVectors_2eFin_2et___24t: $i > $i > $o ).

thf(tp_cCoq_2eVectors_2eVectorDef_2econs,type,
    cCoq_2eVectors_2eVectorDef_2econs: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2econs___24a4,type,
    cCoq_2eVectors_2eVectorDef_2econs___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2enil,type,
    cCoq_2eVectors_2eVectorDef_2enil: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2enil___24a1,type,
    cCoq_2eVectors_2eVectorDef_2enil___24a1: $i > $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2et,type,
    cCoq_2eVectors_2eVectorDef_2et: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2et___24a2,type,
    cCoq_2eVectors_2eVectorDef_2et___24a2: $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2et___24t,type,
    cCoq_2eVectors_2eVectorDef_2et___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eVectors_2eVectorEq_2eeqb,type,
    cCoq_2eVectors_2eVectorEq_2eeqb: $i ).

thf(tp_cCoq_2eVectors_2eVectorEq_2eeqb___24a6,type,
    cCoq_2eVectors_2eVectorEq_2eeqb___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eabs: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eadd,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eadd: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeven,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eeven: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeven___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eeven___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2egcd,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2egcd: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eleb,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eleb: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eleb___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eleb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elog2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2elog2: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eltb,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eltb: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eltb___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eltb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emul,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emul: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eodd: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eodd___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eodd___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eopp,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eopp: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epred: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equot,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equot: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2erem,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2erem: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esgn,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esgn: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esub,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esub: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esucc,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esucc: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eclearbit,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eclearbit: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eclearbit___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eclearbit___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2edivide,type,
    cCoq_2eZArith_2eBinInt_2eZ_2edivide: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeq,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eeq: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ege,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ege: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2egt,type,
    cCoq_2eZArith_2eBinInt_2eZ_2egt: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ele,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ele: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elt,type,
    cCoq_2eZArith_2eBinInt_2eZ_2elt: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZne,type,
    cCoq_2eZArith_2eBinInt_2eZne: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZne___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZne___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eWf__Z_2enatlike__rec,type,
    cCoq_2eZArith_2eWf__Z_2enatlike__rec: $i ).

thf(tp_cCoq_2eZArith_2eZArith__dec_2eZ__noteq__dec,type,
    cCoq_2eZArith_2eZArith__dec_2eZ__noteq__dec: $i ).

thf(tp_cCoq_2eZArith_2eZArith__dec_2eZ__noteq__dec___24a2,type,
    cCoq_2eZArith_2eZArith__dec_2eZ__noteq__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZArith__dec_2eZ__notzerop,type,
    cCoq_2eZArith_2eZArith__dec_2eZ__notzerop: $i ).

thf(tp_cCoq_2eZArith_2eZArith__dec_2eZ__zerop,type,
    cCoq_2eZArith_2eZArith__dec_2eZ__zerop: $i ).

thf(tp_cCoq_2eZArith_2eZArith__dec_2eZ__zerop___24a1,type,
    cCoq_2eZArith_2eZArith__dec_2eZ__zerop___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eZbool_2eZ__eq__bool,type,
    cCoq_2eZArith_2eZbool_2eZ__eq__bool: $i ).

thf(tp_cCoq_2eZArith_2eZbool_2eZ__eq__bool___24a2,type,
    cCoq_2eZArith_2eZbool_2eZ__eq__bool___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZbool_2eZ__noteq__bool,type,
    cCoq_2eZArith_2eZbool_2eZ__noteq__bool: $i ).

thf(tp_cCoq_2eZArith_2eZbool_2eZ__noteq__bool___24a2,type,
    cCoq_2eZArith_2eZbool_2eZ__noteq__bool___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZbool_2eZeq__bool,type,
    cCoq_2eZArith_2eZbool_2eZeq__bool: $i ).

thf(tp_cCoq_2eZArith_2eZbool_2eZeq__bool___24a2,type,
    cCoq_2eZArith_2eZbool_2eZeq__bool___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZdiv_2eRemainder,type,
    cCoq_2eZArith_2eZdiv_2eRemainder: $i ).

thf(tp_cCoq_2eZArith_2eZdiv_2eRemainder___24a2,type,
    cCoq_2eZArith_2eZdiv_2eRemainder___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZdiv_2eRemainder__alt,type,
    cCoq_2eZArith_2eZdiv_2eRemainder__alt: $i ).

thf(tp_cCoq_2eZArith_2eZdiv_2eRemainder__alt___24a2,type,
    cCoq_2eZArith_2eZdiv_2eRemainder__alt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZeven_2eZeven,type,
    cCoq_2eZArith_2eZeven_2eZeven: $i ).

thf(tp_cCoq_2eZArith_2eZeven_2eZeven___24a1,type,
    cCoq_2eZArith_2eZeven_2eZeven___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZeven_2eZodd,type,
    cCoq_2eZArith_2eZeven_2eZodd: $i ).

thf(tp_cCoq_2eZArith_2eZeven_2eZodd___24a1,type,
    cCoq_2eZArith_2eZeven_2eZodd___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZlogarithm_2eIs__power,type,
    cCoq_2eZArith_2eZlogarithm_2eIs__power: $i ).

thf(tp_cCoq_2eZArith_2eZlogarithm_2eIs__power___24a1,type,
    cCoq_2eZArith_2eZlogarithm_2eIs__power___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZnat_2eneq,type,
    cCoq_2eZArith_2eZnat_2eneq: $i ).

thf(tp_cCoq_2eZArith_2eZnat_2eneq___24a2,type,
    cCoq_2eZArith_2eZnat_2eneq___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eZis__gcd,type,
    cCoq_2eZArith_2eZnumtheory_2eZis__gcd: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3,type,
    cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eprime,type,
    cCoq_2eZArith_2eZnumtheory_2eprime: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eprime___24a1,type,
    cCoq_2eZArith_2eZnumtheory_2eprime___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2erel__prime,type,
    cCoq_2eZArith_2eZnumtheory_2erel__prime: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2erel__prime___24a2,type,
    cCoq_2eZArith_2eZnumtheory_2erel__prime___24a2: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEX,type,
    cCoq_2emicromega_2eEnvRing_2ePEX: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEX___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePEX___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEadd,type,
    cCoq_2emicromega_2eEnvRing_2ePEadd: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEadd___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEadd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEc,type,
    cCoq_2emicromega_2eEnvRing_2ePEc: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEc___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePEc___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEmul,type,
    cCoq_2emicromega_2eEnvRing_2ePEmul: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEmul___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEmul___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEopp,type,
    cCoq_2emicromega_2eEnvRing_2ePEopp: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEopp___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePEopp___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEpow,type,
    cCoq_2emicromega_2eEnvRing_2ePEpow: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEpow___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEpow___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEsub,type,
    cCoq_2emicromega_2eEnvRing_2ePEsub: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEsub___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEsub___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePExpr,type,
    cCoq_2emicromega_2eEnvRing_2ePExpr: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePExpr___24a1,type,
    cCoq_2emicromega_2eEnvRing_2ePExpr___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePExpr___24t,type,
    cCoq_2emicromega_2eEnvRing_2ePExpr___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePX,type,
    cCoq_2emicromega_2eEnvRing_2ePX: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePX___24a4,type,
    cCoq_2emicromega_2eEnvRing_2ePX___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePc,type,
    cCoq_2emicromega_2eEnvRing_2ePc: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePc___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePc___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePinj,type,
    cCoq_2emicromega_2eEnvRing_2ePinj: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePinj___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePinj___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePol,type,
    cCoq_2emicromega_2eEnvRing_2ePol: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePol___24a1,type,
    cCoq_2emicromega_2eEnvRing_2ePol___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePol___24t,type,
    cCoq_2emicromega_2eEnvRing_2ePol___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eEnv_2eEnv___24a1,type,
    cCoq_2emicromega_2eEnv_2eEnv___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eEnv_2eEnv___24t,type,
    cCoq_2emicromega_2eEnv_2eEnv___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eEnv_2ejump,type,
    cCoq_2emicromega_2eEnv_2ejump: $i ).

thf(tp_cCoq_2emicromega_2eEnv_2ejump___24a4,type,
    cCoq_2emicromega_2eEnv_2ejump___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eOrderedRing_2eSOR,type,
    cCoq_2emicromega_2eOrderedRing_2eSOR: $i ).

thf(tp_cCoq_2emicromega_2eOrderedRing_2eSOR___24a10,type,
    cCoq_2emicromega_2eOrderedRing_2eSOR___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eReval__op2,type,
    cCoq_2emicromega_2eRMicromega_2eReval__op2: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eReval__op2___24a1,type,
    cCoq_2emicromega_2eRMicromega_2eReval__op2___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRefl_2emake__conj,type,
    cCoq_2emicromega_2eRefl_2emake__conj: $i ).

thf(tp_cCoq_2emicromega_2eRefl_2emake__conj___24a3,type,
    cCoq_2emicromega_2eRefl_2emake__conj___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eBuild__Formula,type,
    cCoq_2emicromega_2eRingMicromega_2eBuild__Formula: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eBuild__Formula___24a4,type,
    cCoq_2emicromega_2eRingMicromega_2eBuild__Formula___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eEqual,type,
    cCoq_2emicromega_2eRingMicromega_2eEqual: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eFormula,type,
    cCoq_2emicromega_2eRingMicromega_2eFormula: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eFormula___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2eFormula___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eFormula___24t,type,
    cCoq_2emicromega_2eRingMicromega_2eFormula___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNFormula,type,
    cCoq_2emicromega_2eRingMicromega_2eNFormula: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNFormula___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2eNFormula___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNonEqual,type,
    cCoq_2emicromega_2eRingMicromega_2eNonEqual: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNonStrict,type,
    cCoq_2emicromega_2eRingMicromega_2eNonStrict: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp1,type,
    cCoq_2emicromega_2eRingMicromega_2eOp1: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp1___24t,type,
    cCoq_2emicromega_2eRingMicromega_2eOp1___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp2,type,
    cCoq_2emicromega_2eRingMicromega_2eOp2: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp2___24t,type,
    cCoq_2emicromega_2eRingMicromega_2eOp2___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpEq,type,
    cCoq_2emicromega_2eRingMicromega_2eOpEq: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpGe,type,
    cCoq_2emicromega_2eRingMicromega_2eOpGe: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpGt,type,
    cCoq_2emicromega_2eRingMicromega_2eOpGt: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpLe,type,
    cCoq_2emicromega_2eRingMicromega_2eOpLe: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpLt,type,
    cCoq_2emicromega_2eRingMicromega_2eOpLt: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpNEq,type,
    cCoq_2emicromega_2eRingMicromega_2eOpNEq: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolC,type,
    cCoq_2emicromega_2eRingMicromega_2ePolC: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolC___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2ePolC___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolEnv,type,
    cCoq_2emicromega_2eRingMicromega_2ePolEnv: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolEnv___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2ePolEnv___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eSORaddon,type,
    cCoq_2emicromega_2eRingMicromega_2eSORaddon: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eSORaddon___24a22,type,
    cCoq_2emicromega_2eRingMicromega_2eSORaddon___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eStrict,type,
    cCoq_2emicromega_2eRingMicromega_2eStrict: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ecneqb,type,
    cCoq_2emicromega_2eRingMicromega_2ecneqb: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ecneqb___24a4,type,
    cCoq_2emicromega_2eRingMicromega_2ecneqb___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op1,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op1: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op1___24a6,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op1___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op2,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op2: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op2___24a5,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op2___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eA,type,
    cCoq_2emicromega_2eTauto_2eA: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eA___24a6,type,
    cCoq_2emicromega_2eTauto_2eA___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eCj,type,
    cCoq_2emicromega_2eTauto_2eCj: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eCj___24a6,type,
    cCoq_2emicromega_2eTauto_2eCj___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eD,type,
    cCoq_2emicromega_2eTauto_2eD: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eD___24a6,type,
    cCoq_2emicromega_2eTauto_2eD___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eFF,type,
    cCoq_2emicromega_2eTauto_2eFF: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eFF___24a4,type,
    cCoq_2emicromega_2eTauto_2eFF___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eGFormula,type,
    cCoq_2emicromega_2eTauto_2eGFormula: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eGFormula___24a4,type,
    cCoq_2emicromega_2eTauto_2eGFormula___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eGFormula___24t,type,
    cCoq_2emicromega_2eTauto_2eGFormula___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eTauto_2eI,type,
    cCoq_2emicromega_2eTauto_2eI: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eI___24a7,type,
    cCoq_2emicromega_2eTauto_2eI___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eN,type,
    cCoq_2emicromega_2eTauto_2eN: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eN___24a5,type,
    cCoq_2emicromega_2eTauto_2eN___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eTT,type,
    cCoq_2emicromega_2eTauto_2eTT: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eTT___24a4,type,
    cCoq_2emicromega_2eTauto_2eTT___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eX,type,
    cCoq_2emicromega_2eTauto_2eX: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eX___24a5,type,
    cCoq_2emicromega_2eTauto_2eX___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eclause,type,
    cCoq_2emicromega_2eTauto_2eclause: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eclause___24a2,type,
    cCoq_2emicromega_2eTauto_2eclause___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eeval__f,type,
    cCoq_2emicromega_2eTauto_2eeval__f: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eeval__f___24a7,type,
    cCoq_2emicromega_2eTauto_2eeval__f___24a7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eTauto_2eeval__tt,type,
    cCoq_2emicromega_2eTauto_2eeval__tt: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eeval__tt___24a6,type,
    cCoq_2emicromega_2eTauto_2eeval__tt___24a6: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eZCoeff_2egen__order__phi__Z,type,
    cCoq_2emicromega_2eZCoeff_2egen__order__phi__Z: $i ).

thf(tp_cCoq_2emicromega_2eZCoeff_2egen__order__phi__Z___24a6,type,
    cCoq_2emicromega_2eZCoeff_2egen__order__phi__Z___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop___24a1,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop___24a1: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eF_2eeqb,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eF_2eeqb: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eF_2eeqb___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eF_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZeval__op1,type,
    cCoq_2emicromega_2eZMicromega_2eZeval__op1: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZeval__op1___24a1,type,
    cCoq_2emicromega_2eZMicromega_2eZeval__op1___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZeval__op2,type,
    cCoq_2emicromega_2eZMicromega_2eZeval__op2: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZeval__op2___24a1,type,
    cCoq_2emicromega_2eZMicromega_2eZeval__op2___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eisZ0,type,
    cCoq_2emicromega_2eZMicromega_2eisZ0: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eisZ0___24a1,type,
    cCoq_2emicromega_2eZMicromega_2eisZ0___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eBinList_2enth,type,
    cCoq_2esetoid__ring_2eBinList_2enth: $i ).

thf(tp_cCoq_2esetoid__ring_2eBinList_2enth___24a4,type,
    cCoq_2esetoid__ring_2eBinList_2enth___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEI,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEI: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEI___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEI___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEO,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEO: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEO___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEO___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEX,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEX: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEX___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEX___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEadd,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEadd: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEadd___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEadd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEc,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEc: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEc___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEc___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEdiv,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEdiv: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEdiv___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEdiv___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEinv,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEinv: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEinv___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEinv___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEmul,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEmul: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEmul___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEmul___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEopp,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEopp: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEopp___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEopp___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEpow,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEpow: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEpow___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEpow___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEsub,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEsub: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEsub___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEsub___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFExpr,type,
    cCoq_2esetoid__ring_2eField__theory_2eFExpr: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFExpr___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2eFExpr___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFExpr___24t,type,
    cCoq_2esetoid__ring_2eField__theory_2eFExpr___24t: $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFapp,type,
    cCoq_2esetoid__ring_2eField__theory_2eFapp: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFapp___24a4,type,
    cCoq_2esetoid__ring_2eField__theory_2eFapp___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ePCond,type,
    cCoq_2esetoid__ring_2eField__theory_2ePCond: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ePCond___24a15,type,
    cCoq_2esetoid__ring_2eField__theory_2ePCond___24a15: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory,type,
    cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory___24a10,type,
    cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2econdition,type,
    cCoq_2esetoid__ring_2eField__theory_2econdition: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2econdition___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2econdition___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2edenum,type,
    cCoq_2esetoid__ring_2eField__theory_2edenum: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2edenum___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2edenum___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2efield__theory,type,
    cCoq_2esetoid__ring_2eField__theory_2efield__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2efield__theory___24a10,type,
    cCoq_2esetoid__ring_2eField__theory_2efield__theory___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2elinear,type,
    cCoq_2esetoid__ring_2eField__theory_2elinear: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2elinear___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2elinear___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2elinear___24t,type,
    cCoq_2esetoid__ring_2eField__theory_2elinear___24t: $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2emk__linear,type,
    cCoq_2esetoid__ring_2eField__theory_2emk__linear: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2emk__linear___24a4,type,
    cCoq_2esetoid__ring_2eField__theory_2emk__linear___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2enum,type,
    cCoq_2esetoid__ring_2eField__theory_2enum: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2enum___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2enum___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory,type,
    cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory___24a8,type,
    cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1___24a5,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS___24a5,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ___24a6,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ___24a7,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2eMon,type,
    cCoq_2esetoid__ring_2eRing__polynom_2eMon: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2eMon___24t,type,
    cCoq_2esetoid__ring_2eRing__polynom_2eMon___24t: $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEI,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEI: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEI___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEI___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEO,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEO: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEO___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEO___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEX,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEX: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEX___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEX___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEadd,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEadd: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEadd___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEadd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEc,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEc: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEc___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEc___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEeval,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEeval: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEeval___24a14,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEeval___24a14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEmul,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEmul: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEmul___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEmul___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEopp,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEopp: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEopp___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEopp___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEpow,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEpow: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEpow___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEpow___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEsub,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEsub: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEsub___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEsub___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePExpr: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24t,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24t: $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL___24a11,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePX,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePX: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePX___24a4,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePX___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePc,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePc: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePc___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePc___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePeq,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePeq: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePeq___24a4,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePeq___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePinj,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePinj: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePinj___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePinj___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePol: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePol___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol___24t,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePol___24t: $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emon0,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emon0: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux___24a9,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst___24a11,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2evmon,type,
    cCoq_2esetoid__ring_2eRing__polynom_2evmon: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2evmon___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2evmon___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ezmon: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ezmon___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__tac_2ering__subst__niter,type,
    cCoq_2esetoid__ring_2eRing__tac_2ering__subst__niter: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ealmost__ring__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2ealmost__ring__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ealmost__ring__theory___24a8,type,
    cCoq_2esetoid__ring_2eRing__theory_2ealmost__ring__theory___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ediv__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2ediv__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ediv__theory___24a7,type,
    cCoq_2esetoid__ring_2eRing__theory_2ediv__theory___24a7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__N,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__N: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__N___24a5,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__N___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__pos,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__pos: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__pos___24a4,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__pos___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epower__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2epower__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epower__theory___24a7,type,
    cCoq_2esetoid__ring_2eRing__theory_2epower__theory___24a7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext___24a5,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext___24a5: $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__morph,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__morph: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__morph___24a17,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__morph___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__theory___24a8,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__theory___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory___24a6,type,
    cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory___24a6: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cProp,type,
    cProp: $i ).

thf(tp_cProp___24t,type,
    cProp___24t: $i > $o ).

thf(tp_cRedblack_2eBlack,type,
    cRedblack_2eBlack: $i ).

thf(tp_cRedblack_2eRed,type,
    cRedblack_2eRed: $i ).

thf(tp_cRedblack_2eTREES_2eE,type,
    cRedblack_2eTREES_2eE: $i ).

thf(tp_cRedblack_2eTREES_2eT,type,
    cRedblack_2eTREES_2eT: $i ).

thf(tp_cRedblack_2eTREES_2eT___24a5,type,
    cRedblack_2eTREES_2eT___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cRedblack_2eTREES_2ebalance,type,
    cRedblack_2eTREES_2ebalance: $i ).

thf(tp_cRedblack_2eTREES_2ebalance___24a5,type,
    cRedblack_2eTREES_2ebalance___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cRedblack_2eTREES_2eempty__tree,type,
    cRedblack_2eTREES_2eempty__tree: $i ).

thf(tp_cRedblack_2eTREES_2eins,type,
    cRedblack_2eTREES_2eins: $i ).

thf(tp_cRedblack_2eTREES_2eins___24a3,type,
    cRedblack_2eTREES_2eins___24a3: $i > $i > $i > $i ).

thf(tp_cRedblack_2eTREES_2einsert,type,
    cRedblack_2eTREES_2einsert: $i ).

thf(tp_cRedblack_2eTREES_2einsert___24a3,type,
    cRedblack_2eTREES_2einsert___24a3: $i > $i > $i > $i ).

thf(tp_cRedblack_2eTREES_2elookup,type,
    cRedblack_2eTREES_2elookup: $i ).

thf(tp_cRedblack_2eTREES_2elookup___24a2,type,
    cRedblack_2eTREES_2elookup___24a2: $i > $i > $i ).

thf(tp_cRedblack_2eTREES_2emakeBlack,type,
    cRedblack_2eTREES_2emakeBlack: $i ).

thf(tp_cRedblack_2eTREES_2emakeBlack___24a1,type,
    cRedblack_2eTREES_2emakeBlack___24a1: $i > $i ).

thf(tp_cRedblack_2eTREES_2etree,type,
    cRedblack_2eTREES_2etree: $i ).

thf(tp_cRedblack_2eTREES_2etree___24t,type,
    cRedblack_2eTREES_2etree___24t: $i > $o ).

thf(tp_cRedblack_2eTREES_2etree__rec,type,
    cRedblack_2eTREES_2etree__rec: $i ).

thf(tp_cRedblack_2eTREES_2etree__rec___24a1,type,
    cRedblack_2eTREES_2etree__rec___24a1: $i > $i ).

thf(tp_cRedblack_2eTREES_2etree__rect,type,
    cRedblack_2eTREES_2etree__rect: $i ).

thf(tp_cRedblack_2eTREES_2etree__rect___24a1,type,
    cRedblack_2eTREES_2etree__rect___24a1: $i > $i ).

thf(tp_cRedblack_2eTREES_2etree__rect___24a4,type,
    cRedblack_2eTREES_2etree__rect___24a4: $i > $i > $i > $i > $i ).

thf(tp_cRedblack_2ecolor,type,
    cRedblack_2ecolor: $i ).

thf(tp_cRedblack_2ecolor___24t,type,
    cRedblack_2ecolor___24t: $i > $o ).

thf(tp_cRedblack_2ecolor__rec,type,
    cRedblack_2ecolor__rec: $i ).

thf(tp_cRedblack_2ecolor__rec___24a1,type,
    cRedblack_2ecolor__rec___24a1: $i > $i ).

thf(tp_cRedblack_2ecolor__rect,type,
    cRedblack_2ecolor__rect: $i ).

thf(tp_cRedblack_2ecolor__rect___24a1,type,
    cRedblack_2ecolor__rect___24a1: $i > $i ).

thf(tp_cRedblack_2ecolor__rect___24a4,type,
    cRedblack_2ecolor__rect___24a4: $i > $i > $i > $i > $i ).

thf(tp_cRedblack_2ekey,type,
    cRedblack_2ekey: $i ).

thf(tp_cRedblack_2ekey___24t,type,
    cRedblack_2ekey___24t: $i > $o ).

thf(tp_cType,type,
    cType: $i ).

thf(tp_cType___24t,type,
    cType___24t: $i > $o ).

thf(tp_cV,type,
    cV: $i ).

thf(tp_cVFA_2eExtract_2eIntMaps_2etotal__map,type,
    cVFA_2eExtract_2eIntMaps_2etotal__map: $i ).

thf(tp_cVFA_2eExtract_2eIntMaps_2etotal__map___24a1,type,
    cVFA_2eExtract_2eIntMaps_2etotal__map___24a1: $i > $i ).

thf(tp_cVFA_2eExtract_2eint,type,
    cVFA_2eExtract_2eint: $i ).

thf(tp_cVFA_2eExtract_2eint___24t,type,
    cVFA_2eExtract_2eint___24t: $i > $o ).

thf(tp_cVFA_2eExtract_2eltb,type,
    cVFA_2eExtract_2eltb: $i ).

thf(tp_cVFA_2eExtract_2eltb___24a2,type,
    cVFA_2eExtract_2eltb___24a2: $i > $i > $i ).

thf(tp_cVFA_2eMaps_2et__empty,type,
    cVFA_2eMaps_2et__empty: $i ).

thf(tp_cVFA_2eMaps_2et__empty___24a3,type,
    cVFA_2eMaps_2et__empty___24a3: $i > $i > $i > $i ).

thf(tp_cVFA_2eMaps_2et__update,type,
    cVFA_2eMaps_2et__update: $i ).

thf(tp_cVFA_2eMaps_2et__update___24a5,type,
    cVFA_2eMaps_2et__update___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cVFA_2eMaps_2etotal__map,type,
    cVFA_2eMaps_2etotal__map: $i ).

thf(tp_cVFA_2eMaps_2etotal__map___24a1,type,
    cVFA_2eMaps_2etotal__map___24a1: $i > $i ).

thf(tp_cVFA_2eMaps_2etotal__map___24t,type,
    cVFA_2eMaps_2etotal__map___24t: $i > $i > $o ).

thf(tp_cVFA_2eSearchTree_2eAbs,type,
    cVFA_2eSearchTree_2eAbs: $i ).

thf(tp_cVFA_2eSearchTree_2eAbs___24a4,type,
    cVFA_2eSearchTree_2eAbs___24a4: $i > $i > $i > $i > $o ).

thf(tp_cVFA_2eSearchTree_2eE,type,
    cVFA_2eSearchTree_2eE: $i ).

thf(tp_cVFA_2eSearchTree_2eE___24a1,type,
    cVFA_2eSearchTree_2eE___24a1: $i > $i ).

thf(tp_cVFA_2eSearchTree_2eT,type,
    cVFA_2eSearchTree_2eT: $i ).

thf(tp_cVFA_2eSearchTree_2eT___24a5,type,
    cVFA_2eSearchTree_2eT___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cVFA_2eSearchTree_2ekey,type,
    cVFA_2eSearchTree_2ekey: $i ).

thf(tp_cVFA_2eSearchTree_2ekey___24t,type,
    cVFA_2eSearchTree_2ekey___24t: $i > $o ).

thf(tp_cVFA_2eSearchTree_2etree,type,
    cVFA_2eSearchTree_2etree: $i ).

thf(tp_cVFA_2eSearchTree_2etree___24a1,type,
    cVFA_2eSearchTree_2etree___24a1: $i > $i ).

thf(tp_cVFA_2eSearchTree_2etree___24t,type,
    cVFA_2eSearchTree_2etree___24t: $i > $i > $o ).

thf(tp_cV___24t,type,
    cV___24t: $i > $o ).

thf(tp_c_24False,type,
    c_24False: $i ).

thf(tp_c_24Proof,type,
    c_24Proof: $i ).

thf(tp_c_24True,type,
    c_24True: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436738,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436738: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436738___24a14,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436738___24a14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436799,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436799: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436799___24a12,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436799___24a12: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436840,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436840: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436840___24a10,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436840___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436865,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436865: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436865___24a8,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436865___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436878,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436878: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436878___24a6,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436878___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436883,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436883: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436883___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2436883___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2459791,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2459791: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2459791___24a2,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2459791___24a2: $i > $i > $o ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2463580,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2463580: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2463580___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2463580___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2463602,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2463602: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2463602___24a1,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2463602___24a1: $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_2456717,type,
    c_24__case__Coq_2eInit_2eDatatypes_2eprod_2456717: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_2456717___24a9,type,
    c_24__case__Coq_2eInit_2eDatatypes_2eprod_2456717___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__case__Coq_2eInit_2eSpecif_2esumbool_243367,type,
    c_24__case__Coq_2eInit_2eSpecif_2esumbool_243367: $i ).

thf(tp_c_24__case__Coq_2eInit_2eSpecif_2esumbool_243367___24a5,type,
    c_24__case__Coq_2eInit_2eSpecif_2esumbool_243367___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2463597,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2463597: $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2463597___24a3,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2463597___24a3: $i > $i > $i > $i ).

thf(tp_c_24__fix__60952__1__add__carry,type,
    c_24__fix__60952__1__add__carry: $i ).

thf(tp_c_24__fix__60952__1__add__carry___24a2,type,
    c_24__fix__60952__1__add__carry___24a2: $i > $i > $i ).

thf(tp_c_24__generic__case__4394,type,
    c_24__generic__case__4394: $i ).

thf(tp_c_24__generic__case__4403,type,
    c_24__generic__case__4403: $i ).

thf(tp_c_24__lam__4337,type,
    c_24__lam__4337: $i ).

thf(tp_c_24__lam__4337___24a2,type,
    c_24__lam__4337___24a2: $i > $i > $i ).

thf(tp_c_24__lam__4337___24a3,type,
    c_24__lam__4337___24a3: $i > $i > $i > $o ).

thf(tp_c_24__lam__43943,type,
    c_24__lam__43943: $i ).

thf(tp_c_24__lam__43943___24a2,type,
    c_24__lam__43943___24a2: $i > $i > $o ).

thf(tp_c_24__lam__4670,type,
    c_24__lam__4670: $i ).

thf(tp_c_24__lam__4670___24a2,type,
    c_24__lam__4670___24a2: $i > $i > $i ).

thf(tp_c_24__lam__4670___24a3,type,
    c_24__lam__4670___24a3: $i > $i > $i > $o ).

thf(tp_c_24__lam__49929,type,
    c_24__lam__49929: $i ).

thf(tp_c_24__lam__49929___24a3,type,
    c_24__lam__49929___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__49929___24a4,type,
    c_24__lam__49929___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__49937,type,
    c_24__lam__49937: $i ).

thf(tp_c_24__lam__49937___24a3,type,
    c_24__lam__49937___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__49937___24a4,type,
    c_24__lam__49937___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__49945,type,
    c_24__lam__49945: $i ).

thf(tp_c_24__lam__49945___24a3,type,
    c_24__lam__49945___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__49945___24a4,type,
    c_24__lam__49945___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__49953,type,
    c_24__lam__49953: $i ).

thf(tp_c_24__lam__49953___24a3,type,
    c_24__lam__49953___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__49953___24a4,type,
    c_24__lam__49953___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__51924,type,
    c_24__lam__51924: $i ).

thf(tp_c_24__lam__51924___24a11,type,
    c_24__lam__51924___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__51924___24a12,type,
    c_24__lam__51924___24a12: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__57115,type,
    c_24__lam__57115: $i ).

thf(tp_c_24__lam__57115___24a4,type,
    c_24__lam__57115___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__57115___24a5,type,
    c_24__lam__57115___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__57152,type,
    c_24__lam__57152: $i ).

thf(tp_c_24__lam__57152___24a8,type,
    c_24__lam__57152___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__57152___24a9,type,
    c_24__lam__57152___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__59756,type,
    c_24__lam__59756: $i ).

thf(tp_c_24__lam__59756___24a2,type,
    c_24__lam__59756___24a2: $i > $i > $o ).

thf(tp_c_24__lam__59762,type,
    c_24__lam__59762: $i ).

thf(tp_c_24__lam__59762___24a1,type,
    c_24__lam__59762___24a1: $i > $o ).

thf(tp_c_24__lam__59763,type,
    c_24__lam__59763: $i ).

thf(tp_c_24__lam__59763___24a1,type,
    c_24__lam__59763___24a1: $i > $o ).

thf(tp_c_24__lam__59764,type,
    c_24__lam__59764: $i ).

thf(tp_c_24__lam__59764___24a1,type,
    c_24__lam__59764___24a1: $i > $o ).

thf(tp_c_24__lam__59765,type,
    c_24__lam__59765: $i ).

thf(tp_c_24__lam__59765___24a1,type,
    c_24__lam__59765___24a1: $i > $o ).

thf(tp_c_24__lam__59788,type,
    c_24__lam__59788: $i ).

thf(tp_c_24__lam__59788___24a2,type,
    c_24__lam__59788___24a2: $i > $i > $i ).

thf(tp_c_24__lam__59788___24a3,type,
    c_24__lam__59788___24a3: $i > $i > $i > $o ).

thf(tp_c_24__lam__63290,type,
    c_24__lam__63290: $i ).

thf(tp_c_24__lam__63290___24a1,type,
    c_24__lam__63290___24a1: $i > $i ).

thf(tp_c_24__lam__63291,type,
    c_24__lam__63291: $i ).

thf(tp_c_24__lam__63291___24a1,type,
    c_24__lam__63291___24a1: $i > $i ).

thf(tp_c_24__lam__63652,type,
    c_24__lam__63652: $i ).

thf(tp_c_24__lam__63652___24a2,type,
    c_24__lam__63652___24a2: $i > $i > $i ).

thf(tp_c_24__lam__63652___24a4,type,
    c_24__lam__63652___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__63660,type,
    c_24__lam__63660: $i ).

thf(tp_c_24__lam__63660___24a2,type,
    c_24__lam__63660___24a2: $i > $i > $i ).

thf(tp_c_24__lam__63660___24a4,type,
    c_24__lam__63660___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__63668,type,
    c_24__lam__63668: $i ).

thf(tp_c_24__lam__63668___24a2,type,
    c_24__lam__63668___24a2: $i > $i > $i ).

thf(tp_c_24__lam__63668___24a4,type,
    c_24__lam__63668___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__63676,type,
    c_24__lam__63676: $i ).

thf(tp_c_24__lam__63676___24a2,type,
    c_24__lam__63676___24a2: $i > $i > $i ).

thf(tp_c_24__lam__63676___24a4,type,
    c_24__lam__63676___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__64754,type,
    c_24__lam__64754: $i ).

thf(tp_c_24__lam__64754___24a1,type,
    c_24__lam__64754___24a1: $i > $i ).

thf(tp_c_24__lam__64754___24a2,type,
    c_24__lam__64754___24a2: $i > $i > $i ).

thf(tp_c_24__lam__64761,type,
    c_24__lam__64761: $i ).

thf(tp_c_24__lam__64761___24a1,type,
    c_24__lam__64761___24a1: $i > $i ).

thf(tp_c_24__lam__64761___24a2,type,
    c_24__lam__64761___24a2: $i > $i > $i ).

thf(tp_c_24__lam__64765,type,
    c_24__lam__64765: $i ).

thf(tp_c_24__lam__64765___24a1,type,
    c_24__lam__64765___24a1: $i > $i ).

thf(tp_c_24__let__11__subst__l__51852,type,
    c_24__let__11__subst__l__51852: $i ).

thf(tp_c_24__let__11__subst__l__51852___24a10,type,
    c_24__let__11__subst__l__51852___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__let__var__6__p__52252__52255,type,
    c_24__let__var__6__p__52252__52255: $i ).

thf(tp_c_24__let__var__6__p__52252__52255___24a4,type,
    c_24__let__var__6__p__52252__52255___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__let__var__6__p__52254__52256,type,
    c_24__let__var__6__p__52254__52256: $i ).

thf(tp_c_24__let__var__6__p__52254__52256___24a4,type,
    c_24__let__var__6__p__52254__52256___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__let__var__var__7__n__3336__3340__3349,type,
    c_24__let__var__var__7__n__3336__3340__3349: $i ).

thf(tp_c_24__let__var__var__7__n__3336__3340__3349___24a4,type,
    c_24__let__var__var__7__n__3336__3340__3349___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__prop__116,type,
    c_24__prop__116: $i ).

thf(tp_c_24__prop__116___24a3,type,
    c_24__prop__116___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__117,type,
    c_24__prop__117: $i ).

thf(tp_c_24__prop__117___24a3,type,
    c_24__prop__117___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__118,type,
    c_24__prop__118: $i ).

thf(tp_c_24__prop__118___24a3,type,
    c_24__prop__118___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__3379,type,
    c_24__prop__3379: $i ).

thf(tp_c_24__prop__3379___24a3,type,
    c_24__prop__3379___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__3380,type,
    c_24__prop__3380: $i ).

thf(tp_c_24__prop__3380___24a3,type,
    c_24__prop__3380___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__3381,type,
    c_24__prop__3381: $i ).

thf(tp_c_24__prop__3381___24a3,type,
    c_24__prop__3381___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__3382,type,
    c_24__prop__3382: $i ).

thf(tp_c_24__prop__3382___24a3,type,
    c_24__prop__3382___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__37114,type,
    c_24__prop__37114: $i ).

thf(tp_c_24__prop__37114___24a2,type,
    c_24__prop__37114___24a2: $i > $i > $i ).

thf(tp_c_24__prop__3931,type,
    c_24__prop__3931: $i ).

thf(tp_c_24__prop__3931___24a2,type,
    c_24__prop__3931___24a2: $i > $i > $i ).

thf(tp_c_24__prop__3932,type,
    c_24__prop__3932: $i ).

thf(tp_c_24__prop__3932___24a2,type,
    c_24__prop__3932___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4090,type,
    c_24__prop__4090: $i ).

thf(tp_c_24__prop__4090___24a2,type,
    c_24__prop__4090___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4091,type,
    c_24__prop__4091: $i ).

thf(tp_c_24__prop__4091___24a2,type,
    c_24__prop__4091___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4092,type,
    c_24__prop__4092: $i ).

thf(tp_c_24__prop__4092___24a2,type,
    c_24__prop__4092___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4093,type,
    c_24__prop__4093: $i ).

thf(tp_c_24__prop__4093___24a2,type,
    c_24__prop__4093___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4112,type,
    c_24__prop__4112: $i ).

thf(tp_c_24__prop__4112___24a1,type,
    c_24__prop__4112___24a1: $i > $i ).

thf(tp_c_24__prop__4113,type,
    c_24__prop__4113: $i ).

thf(tp_c_24__prop__4113___24a1,type,
    c_24__prop__4113___24a1: $i > $i ).

thf(tp_c_24__prop__4117,type,
    c_24__prop__4117: $i ).

thf(tp_c_24__prop__4117___24a2,type,
    c_24__prop__4117___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4118,type,
    c_24__prop__4118: $i ).

thf(tp_c_24__prop__4118___24a2,type,
    c_24__prop__4118___24a2: $i > $i > $i ).

thf(tp_c_24__prop__41618,type,
    c_24__prop__41618: $i ).

thf(tp_c_24__prop__41618___24a3,type,
    c_24__prop__41618___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__41619,type,
    c_24__prop__41619: $i ).

thf(tp_c_24__prop__41619___24a3,type,
    c_24__prop__41619___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__41620,type,
    c_24__prop__41620: $i ).

thf(tp_c_24__prop__41620___24a3,type,
    c_24__prop__41620___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__41621,type,
    c_24__prop__41621: $i ).

thf(tp_c_24__prop__41621___24a3,type,
    c_24__prop__41621___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__4233,type,
    c_24__prop__4233: $i ).

thf(tp_c_24__prop__4233___24a2,type,
    c_24__prop__4233___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4234,type,
    c_24__prop__4234: $i ).

thf(tp_c_24__prop__4234___24a2,type,
    c_24__prop__4234___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4235,type,
    c_24__prop__4235: $i ).

thf(tp_c_24__prop__4235___24a2,type,
    c_24__prop__4235___24a2: $i > $i > $i ).

thf(tp_c_24__prop__43922,type,
    c_24__prop__43922: $i ).

thf(tp_c_24__prop__43922___24a2,type,
    c_24__prop__43922___24a2: $i > $i > $i ).

thf(tp_c_24__prop__43928,type,
    c_24__prop__43928: $i ).

thf(tp_c_24__prop__43928___24a2,type,
    c_24__prop__43928___24a2: $i > $i > $i ).

thf(tp_c_24__prop__43929,type,
    c_24__prop__43929: $i ).

thf(tp_c_24__prop__43929___24a2,type,
    c_24__prop__43929___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4470,type,
    c_24__prop__4470: $i ).

thf(tp_c_24__prop__4470___24a2,type,
    c_24__prop__4470___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4655,type,
    c_24__prop__4655: $i ).

thf(tp_c_24__prop__4655___24a2,type,
    c_24__prop__4655___24a2: $i > $i > $i ).

thf(tp_c_24__prop__4656,type,
    c_24__prop__4656: $i ).

thf(tp_c_24__prop__4656___24a2,type,
    c_24__prop__4656___24a2: $i > $i > $i ).

thf(tp_c_24__prop__58792,type,
    c_24__prop__58792: $i ).

thf(tp_c_24__prop__58792___24a2,type,
    c_24__prop__58792___24a2: $i > $i > $i ).

thf(tp_c_24__prop__58793,type,
    c_24__prop__58793: $i ).

thf(tp_c_24__prop__58793___24a2,type,
    c_24__prop__58793___24a2: $i > $i > $i ).

thf(tp_c_24__prop__58818,type,
    c_24__prop__58818: $i ).

thf(tp_c_24__prop__58818___24a2,type,
    c_24__prop__58818___24a2: $i > $i > $i ).

thf(tp_c_24__prop__59664,type,
    c_24__prop__59664: $i ).

thf(tp_c_24__prop__59664___24a1,type,
    c_24__prop__59664___24a1: $i > $i ).

thf(tp_c_24__prop__59665,type,
    c_24__prop__59665: $i ).

thf(tp_c_24__prop__59665___24a1,type,
    c_24__prop__59665___24a1: $i > $i ).

thf(tp_c_24__prop__59773,type,
    c_24__prop__59773: $i ).

thf(tp_c_24__prop__59773___24a2,type,
    c_24__prop__59773___24a2: $i > $i > $i ).

thf(tp_c_24__prop__59774,type,
    c_24__prop__59774: $i ).

thf(tp_c_24__prop__59774___24a2,type,
    c_24__prop__59774___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60386,type,
    c_24__prop__60386: $i ).

thf(tp_c_24__prop__60386___24a2,type,
    c_24__prop__60386___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60387,type,
    c_24__prop__60387: $i ).

thf(tp_c_24__prop__60387___24a2,type,
    c_24__prop__60387___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60388,type,
    c_24__prop__60388: $i ).

thf(tp_c_24__prop__60388___24a2,type,
    c_24__prop__60388___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60389,type,
    c_24__prop__60389: $i ).

thf(tp_c_24__prop__60389___24a2,type,
    c_24__prop__60389___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60417,type,
    c_24__prop__60417: $i ).

thf(tp_c_24__prop__60417___24a4,type,
    c_24__prop__60417___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__prop__60418,type,
    c_24__prop__60418: $i ).

thf(tp_c_24__prop__60418___24a3,type,
    c_24__prop__60418___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__60419,type,
    c_24__prop__60419: $i ).

thf(tp_c_24__prop__60419___24a3,type,
    c_24__prop__60419___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__60420,type,
    c_24__prop__60420: $i ).

thf(tp_c_24__prop__60420___24a3,type,
    c_24__prop__60420___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__60421,type,
    c_24__prop__60421: $i ).

thf(tp_c_24__prop__60421___24a3,type,
    c_24__prop__60421___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__60422,type,
    c_24__prop__60422: $i ).

thf(tp_c_24__prop__60422___24a3,type,
    c_24__prop__60422___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__60423,type,
    c_24__prop__60423: $i ).

thf(tp_c_24__prop__60423___24a2,type,
    c_24__prop__60423___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60917,type,
    c_24__prop__60917: $i ).

thf(tp_c_24__prop__60917___24a2,type,
    c_24__prop__60917___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60918,type,
    c_24__prop__60918: $i ).

thf(tp_c_24__prop__60918___24a2,type,
    c_24__prop__60918___24a2: $i > $i > $i ).

thf(tp_c_24__prop__60919,type,
    c_24__prop__60919: $i ).

thf(tp_c_24__prop__60919___24a2,type,
    c_24__prop__60919___24a2: $i > $i > $i ).

thf(tp_c_24__prop__61392,type,
    c_24__prop__61392: $i ).

thf(tp_c_24__prop__61392___24a2,type,
    c_24__prop__61392___24a2: $i > $i > $i ).

thf(tp_c_24__prop__61469,type,
    c_24__prop__61469: $i ).

thf(tp_c_24__prop__61469___24a2,type,
    c_24__prop__61469___24a2: $i > $i > $i ).

thf(tp_c_24__prop__61470,type,
    c_24__prop__61470: $i ).

thf(tp_c_24__prop__61470___24a1,type,
    c_24__prop__61470___24a1: $i > $i ).

thf(tp_c_24__prop__64699,type,
    c_24__prop__64699: $i ).

thf(tp_c_24__prop__64699___24a2,type,
    c_24__prop__64699___24a2: $i > $i > $i ).

thf(tp_c_24__prop__6677,type,
    c_24__prop__6677: $i ).

thf(tp_c_24__prop__6677___24a2,type,
    c_24__prop__6677___24a2: $i > $i > $i ).

thf(tp_c_24__prop__6678,type,
    c_24__prop__6678: $i ).

thf(tp_c_24__prop__6678___24a2,type,
    c_24__prop__6678___24a2: $i > $i > $i ).

thf(tp_c_24__type__109,type,
    c_24__type__109: $i ).

thf(tp_c_24__type__109___24t,type,
    c_24__type__109___24t: $i > $o ).

thf(tp_c_24__type__114___24a1,type,
    c_24__type__114___24a1: $i > $i ).

thf(tp_c_24__type__114___24t,type,
    c_24__type__114___24t: $i > $i > $o ).

thf(tp_c_24__type__126,type,
    c_24__type__126: $i ).

thf(tp_c_24__type__126___24t,type,
    c_24__type__126___24t: $i > $o ).

thf(tp_c_24__type__129,type,
    c_24__type__129: $i ).

thf(tp_c_24__type__129___24t,type,
    c_24__type__129___24t: $i > $o ).

thf(tp_c_24__type__134,type,
    c_24__type__134: $i ).

thf(tp_c_24__type__134___24t,type,
    c_24__type__134___24t: $i > $o ).

thf(tp_c_24__type__139,type,
    c_24__type__139: $i ).

thf(tp_c_24__type__139___24t,type,
    c_24__type__139___24t: $i > $o ).

thf(tp_c_24__type__144,type,
    c_24__type__144: $i ).

thf(tp_c_24__type__144___24t,type,
    c_24__type__144___24t: $i > $o ).

thf(tp_c_24__type__190,type,
    c_24__type__190: $i ).

thf(tp_c_24__type__190___24t,type,
    c_24__type__190___24t: $i > $o ).

thf(tp_c_24__type__3002,type,
    c_24__type__3002: $i ).

thf(tp_c_24__type__3002___24t,type,
    c_24__type__3002___24t: $i > $o ).

thf(tp_c_24__type__3031,type,
    c_24__type__3031: $i ).

thf(tp_c_24__type__3031___24t,type,
    c_24__type__3031___24t: $i > $o ).

thf(tp_c_24__type__3074,type,
    c_24__type__3074: $i ).

thf(tp_c_24__type__3074___24t,type,
    c_24__type__3074___24t: $i > $o ).

thf(tp_c_24__type__3076,type,
    c_24__type__3076: $i ).

thf(tp_c_24__type__3076___24t,type,
    c_24__type__3076___24t: $i > $o ).

thf(tp_c_24__type__3106___24a1,type,
    c_24__type__3106___24a1: $i > $i ).

thf(tp_c_24__type__3106___24t,type,
    c_24__type__3106___24t: $i > $i > $o ).

thf(tp_c_24__type__3108,type,
    c_24__type__3108: $i ).

thf(tp_c_24__type__3108___24t,type,
    c_24__type__3108___24t: $i > $o ).

thf(tp_c_24__type__3134___24a1,type,
    c_24__type__3134___24a1: $i > $i ).

thf(tp_c_24__type__3134___24t,type,
    c_24__type__3134___24t: $i > $i > $o ).

thf(tp_c_24__type__3214,type,
    c_24__type__3214: $i ).

thf(tp_c_24__type__3214___24t,type,
    c_24__type__3214___24t: $i > $o ).

thf(tp_c_24__type__3216,type,
    c_24__type__3216: $i ).

thf(tp_c_24__type__3216___24t,type,
    c_24__type__3216___24t: $i > $o ).

thf(tp_c_24__type__3218,type,
    c_24__type__3218: $i ).

thf(tp_c_24__type__3218___24t,type,
    c_24__type__3218___24t: $i > $o ).

thf(tp_c_24__type__3221___24a1,type,
    c_24__type__3221___24a1: $i > $i ).

thf(tp_c_24__type__3221___24t,type,
    c_24__type__3221___24t: $i > $i > $o ).

thf(tp_c_24__type__3247,type,
    c_24__type__3247: $i ).

thf(tp_c_24__type__3247___24t,type,
    c_24__type__3247___24t: $i > $o ).

thf(tp_c_24__type__3255,type,
    c_24__type__3255: $i ).

thf(tp_c_24__type__3255___24t,type,
    c_24__type__3255___24t: $i > $o ).

thf(tp_c_24__type__3269,type,
    c_24__type__3269: $i ).

thf(tp_c_24__type__3269___24t,type,
    c_24__type__3269___24t: $i > $o ).

thf(tp_c_24__type__3274,type,
    c_24__type__3274: $i ).

thf(tp_c_24__type__3274___24t,type,
    c_24__type__3274___24t: $i > $o ).

thf(tp_c_24__type__3299,type,
    c_24__type__3299: $i ).

thf(tp_c_24__type__3299___24t,type,
    c_24__type__3299___24t: $i > $o ).

thf(tp_c_24__type__3302___24a1,type,
    c_24__type__3302___24a1: $i > $i ).

thf(tp_c_24__type__3302___24t,type,
    c_24__type__3302___24t: $i > $i > $o ).

thf(tp_c_24__type__3314___24a2,type,
    c_24__type__3314___24a2: $i > $i > $i ).

thf(tp_c_24__type__3314___24t,type,
    c_24__type__3314___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__3326,type,
    c_24__type__3326: $i ).

thf(tp_c_24__type__3326___24t,type,
    c_24__type__3326___24t: $i > $o ).

thf(tp_c_24__type__3392,type,
    c_24__type__3392: $i ).

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    c_24__type__4303___24a1: $i > $i ).

thf(tp_c_24__type__4303___24t,type,
    c_24__type__4303___24t: $i > $i > $o ).

thf(tp_c_24__type__43082___24a10,type,
    c_24__type__43082___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__43082___24t,type,
    c_24__type__43082___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4316,type,
    c_24__type__4316: $i ).

thf(tp_c_24__type__4316___24t,type,
    c_24__type__4316___24t: $i > $o ).

thf(tp_c_24__type__4318,type,
    c_24__type__4318: $i ).

thf(tp_c_24__type__43183___24a10,type,
    c_24__type__43183___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__43183___24t,type,
    c_24__type__43183___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4318___24t,type,
    c_24__type__4318___24t: $i > $o ).

thf(tp_c_24__type__43284___24a10,type,
    c_24__type__43284___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__43284___24t,type,
    c_24__type__43284___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__43374___24a10,type,
    c_24__type__43374___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__43374___24t,type,
    c_24__type__43374___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__43475___24a10,type,
    c_24__type__43475___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__43475___24t,type,
    c_24__type__43475___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__43576___24a10,type,
    c_24__type__43576___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__43576___24t,type,
    c_24__type__43576___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__43677___24a10,type,
    c_24__type__43677___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__43677___24t,type,
    c_24__type__43677___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__43920,type,
    c_24__type__43920: $i ).

thf(tp_c_24__type__43920___24t,type,
    c_24__type__43920___24t: $i > $o ).

thf(tp_c_24__type__43923,type,
    c_24__type__43923: $i ).

thf(tp_c_24__type__43923___24t,type,
    c_24__type__43923___24t: $i > $o ).

thf(tp_c_24__type__43926,type,
    c_24__type__43926: $i ).

thf(tp_c_24__type__43926___24t,type,
    c_24__type__43926___24t: $i > $o ).

thf(tp_c_24__type__43940,type,
    c_24__type__43940: $i ).

thf(tp_c_24__type__43940___24t,type,
    c_24__type__43940___24t: $i > $o ).

thf(tp_c_24__type__43947,type,
    c_24__type__43947: $i ).

thf(tp_c_24__type__43947___24t,type,
    c_24__type__43947___24t: $i > $o ).

thf(tp_c_24__type__43954,type,
    c_24__type__43954: $i ).

thf(tp_c_24__type__43954___24t,type,
    c_24__type__43954___24t: $i > $o ).

thf(tp_c_24__type__43967,type,
    c_24__type__43967: $i ).

thf(tp_c_24__type__43967___24t,type,
    c_24__type__43967___24t: $i > $o ).

thf(tp_c_24__type__43969,type,
    c_24__type__43969: $i ).

thf(tp_c_24__type__43969___24t,type,
    c_24__type__43969___24t: $i > $o ).

thf(tp_c_24__type__44009,type,
    c_24__type__44009: $i ).

thf(tp_c_24__type__44009___24t,type,
    c_24__type__44009___24t: $i > $o ).

thf(tp_c_24__type__4426,type,
    c_24__type__4426: $i ).

thf(tp_c_24__type__4426___24t,type,
    c_24__type__4426___24t: $i > $o ).

thf(tp_c_24__type__4435,type,
    c_24__type__4435: $i ).

thf(tp_c_24__type__4435___24t,type,
    c_24__type__4435___24t: $i > $o ).

thf(tp_c_24__type__4448,type,
    c_24__type__4448: $i ).

thf(tp_c_24__type__4448___24t,type,
    c_24__type__4448___24t: $i > $o ).

thf(tp_c_24__type__4453,type,
    c_24__type__4453: $i ).

thf(tp_c_24__type__4453___24t,type,
    c_24__type__4453___24t: $i > $o ).

thf(tp_c_24__type__44545___24a22,type,
    c_24__type__44545___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__44545___24t,type,
    c_24__type__44545___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4456,type,
    c_24__type__4456: $i ).

thf(tp_c_24__type__4456___24t,type,
    c_24__type__4456___24t: $i > $o ).

thf(tp_c_24__type__4460,type,
    c_24__type__4460: $i ).

thf(tp_c_24__type__4460___24t,type,
    c_24__type__4460___24t: $i > $o ).

thf(tp_c_24__type__4463,type,
    c_24__type__4463: $i ).

thf(tp_c_24__type__4463___24t,type,
    c_24__type__4463___24t: $i > $o ).

thf(tp_c_24__type__4468,type,
    c_24__type__4468: $i ).

thf(tp_c_24__type__4468___24t,type,
    c_24__type__4468___24t: $i > $o ).

thf(tp_c_24__type__4472,type,
    c_24__type__4472: $i ).

thf(tp_c_24__type__4472___24t,type,
    c_24__type__4472___24t: $i > $o ).

thf(tp_c_24__type__44891___24a22,type,
    c_24__type__44891___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__44891___24t,type,
    c_24__type__44891___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4489___24a2,type,
    c_24__type__4489___24a2: $i > $i > $i ).

thf(tp_c_24__type__4489___24t,type,
    c_24__type__4489___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__4493,type,
    c_24__type__4493: $i ).

thf(tp_c_24__type__4493___24t,type,
    c_24__type__4493___24t: $i > $o ).

thf(tp_c_24__type__4496___24a1,type,
    c_24__type__4496___24a1: $i > $i ).

thf(tp_c_24__type__4496___24t,type,
    c_24__type__4496___24t: $i > $i > $o ).

thf(tp_c_24__type__4508___24a2,type,
    c_24__type__4508___24a2: $i > $i > $i ).

thf(tp_c_24__type__4508___24t,type,
    c_24__type__4508___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__45237___24a22,type,
    c_24__type__45237___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__45237___24t,type,
    c_24__type__45237___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4536,type,
    c_24__type__4536: $i ).

thf(tp_c_24__type__4536___24t,type,
    c_24__type__4536___24t: $i > $o ).

thf(tp_c_24__type__4540___24a2,type,
    c_24__type__4540___24a2: $i > $i > $i ).

thf(tp_c_24__type__4540___24t,type,
    c_24__type__4540___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__4547___24a3,type,
    c_24__type__4547___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__4547___24t,type,
    c_24__type__4547___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4554___24a3,type,
    c_24__type__4554___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__4554___24t,type,
    c_24__type__4554___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__45560___24a22,type,
    c_24__type__45560___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__45560___24t,type,
    c_24__type__45560___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4566,type,
    c_24__type__4566: $i ).

thf(tp_c_24__type__4566___24t,type,
    c_24__type__4566___24t: $i > $o ).

thf(tp_c_24__type__45906___24a22,type,
    c_24__type__45906___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__45906___24t,type,
    c_24__type__45906___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__46252___24a22,type,
    c_24__type__46252___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__46252___24t,type,
    c_24__type__46252___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__46598___24a22,type,
    c_24__type__46598___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__46598___24t,type,
    c_24__type__46598___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__4663,type,
    c_24__type__4663: $i ).

thf(tp_c_24__type__4663___24t,type,
    c_24__type__4663___24t: $i > $o ).

thf(tp_c_24__type__46944___24a22,type,
    c_24__type__46944___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__46944___24t,type,
    c_24__type__46944___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__47290___24a22,type,
    c_24__type__47290___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__47290___24t,type,
    c_24__type__47290___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__47613___24a22,type,
    c_24__type__47613___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__47613___24t,type,
    c_24__type__47613___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__47959___24a22,type,
    c_24__type__47959___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__47959___24t,type,
    c_24__type__47959___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__48305___24a22,type,
    c_24__type__48305___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__48305___24t,type,
    c_24__type__48305___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__48628___24a22,type,
    c_24__type__48628___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__48628___24t,type,
    c_24__type__48628___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__48951___24a22,type,
    c_24__type__48951___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__48951___24t,type,
    c_24__type__48951___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__49297___24a22,type,
    c_24__type__49297___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__49297___24t,type,
    c_24__type__49297___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__49679,type,
    c_24__type__49679: $i ).

thf(tp_c_24__type__49679___24t,type,
    c_24__type__49679___24t: $i > $o ).

thf(tp_c_24__type__49996,type,
    c_24__type__49996: $i ).

thf(tp_c_24__type__49996___24t,type,
    c_24__type__49996___24t: $i > $o ).

thf(tp_c_24__type__51338,type,
    c_24__type__51338: $i ).

thf(tp_c_24__type__51338___24t,type,
    c_24__type__51338___24t: $i > $o ).

thf(tp_c_24__type__51586,type,
    c_24__type__51586: $i ).

thf(tp_c_24__type__51586___24t,type,
    c_24__type__51586___24t: $i > $o ).

thf(tp_c_24__type__51589,type,
    c_24__type__51589: $i ).

thf(tp_c_24__type__51589___24t,type,
    c_24__type__51589___24t: $i > $o ).

thf(tp_c_24__type__51592,type,
    c_24__type__51592: $i ).

thf(tp_c_24__type__51592___24t,type,
    c_24__type__51592___24t: $i > $o ).

thf(tp_c_24__type__51597,type,
    c_24__type__51597: $i ).

thf(tp_c_24__type__51597___24t,type,
    c_24__type__51597___24t: $i > $o ).

thf(tp_c_24__type__51606,type,
    c_24__type__51606: $i ).

thf(tp_c_24__type__51606___24t,type,
    c_24__type__51606___24t: $i > $o ).

thf(tp_c_24__type__51611,type,
    c_24__type__51611: $i ).

thf(tp_c_24__type__51611___24t,type,
    c_24__type__51611___24t: $i > $o ).

thf(tp_c_24__type__51826,type,
    c_24__type__51826: $i ).

thf(tp_c_24__type__51826___24t,type,
    c_24__type__51826___24t: $i > $o ).

thf(tp_c_24__type__52056,type,
    c_24__type__52056: $i ).

thf(tp_c_24__type__52056___24t,type,
    c_24__type__52056___24t: $i > $o ).

thf(tp_c_24__type__52266,type,
    c_24__type__52266: $i ).

thf(tp_c_24__type__52266___24t,type,
    c_24__type__52266___24t: $i > $o ).

thf(tp_c_24__type__52287,type,
    c_24__type__52287: $i ).

thf(tp_c_24__type__52287___24t,type,
    c_24__type__52287___24t: $i > $o ).

thf(tp_c_24__type__52541___24a8,type,
    c_24__type__52541___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__52541___24t,type,
    c_24__type__52541___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__52604___24a8,type,
    c_24__type__52604___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__52604___24t,type,
    c_24__type__52604___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__52667___24a8,type,
    c_24__type__52667___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__52667___24t,type,
    c_24__type__52667___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__52721___24a8,type,
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thf(tp_c_24__type__61362,type,
    c_24__type__61362: $i ).

thf(tp_c_24__type__61362___24t,type,
    c_24__type__61362___24t: $i > $o ).

thf(tp_c_24__type__61411___24a3,type,
    c_24__type__61411___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__61411___24t,type,
    c_24__type__61411___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__61432___24a3,type,
    c_24__type__61432___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__61432___24t,type,
    c_24__type__61432___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__61437,type,
    c_24__type__61437: $i ).

thf(tp_c_24__type__61437___24t,type,
    c_24__type__61437___24t: $i > $o ).

thf(tp_c_24__type__61439,type,
    c_24__type__61439: $i ).

thf(tp_c_24__type__61439___24t,type,
    c_24__type__61439___24t: $i > $o ).

thf(tp_c_24__type__61503___24a6,type,
    c_24__type__61503___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__61503___24t,type,
    c_24__type__61503___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__61506___24a1,type,
    c_24__type__61506___24a1: $i > $i ).

thf(tp_c_24__type__61506___24t,type,
    c_24__type__61506___24t: $i > $i > $o ).

thf(tp_c_24__type__61508,type,
    c_24__type__61508: $i ).

thf(tp_c_24__type__61508___24t,type,
    c_24__type__61508___24t: $i > $o ).

thf(tp_c_24__type__61514___24a2,type,
    c_24__type__61514___24a2: $i > $i > $i ).

thf(tp_c_24__type__61514___24t,type,
    c_24__type__61514___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__6158,type,
    c_24__type__6158: $i ).

thf(tp_c_24__type__6158___24t,type,
    c_24__type__6158___24t: $i > $o ).

thf(tp_c_24__type__6165,type,
    c_24__type__6165: $i ).

thf(tp_c_24__type__6165___24t,type,
    c_24__type__6165___24t: $i > $o ).

thf(tp_c_24__type__6169,type,
    c_24__type__6169: $i ).

thf(tp_c_24__type__6169___24t,type,
    c_24__type__6169___24t: $i > $o ).

thf(tp_c_24__type__61884,type,
    c_24__type__61884: $i ).

thf(tp_c_24__type__61884___24t,type,
    c_24__type__61884___24t: $i > $o ).

thf(tp_c_24__type__61887,type,
    c_24__type__61887: $i ).

thf(tp_c_24__type__61887___24t,type,
    c_24__type__61887___24t: $i > $o ).

thf(tp_c_24__type__61892,type,
    c_24__type__61892: $i ).

thf(tp_c_24__type__61892___24t,type,
    c_24__type__61892___24t: $i > $o ).

thf(tp_c_24__type__61901,type,
    c_24__type__61901: $i ).

thf(tp_c_24__type__61901___24t,type,
    c_24__type__61901___24t: $i > $o ).

thf(tp_c_24__type__61924,type,
    c_24__type__61924: $i ).

thf(tp_c_24__type__61924___24t,type,
    c_24__type__61924___24t: $i > $o ).

thf(tp_c_24__type__6193,type,
    c_24__type__6193: $i ).

thf(tp_c_24__type__61935,type,
    c_24__type__61935: $i ).

thf(tp_c_24__type__61935___24t,type,
    c_24__type__61935___24t: $i > $o ).

thf(tp_c_24__type__6193___24t,type,
    c_24__type__6193___24t: $i > $o ).

thf(tp_c_24__type__61955,type,
    c_24__type__61955: $i ).

thf(tp_c_24__type__61955___24t,type,
    c_24__type__61955___24t: $i > $o ).

thf(tp_c_24__type__6196,type,
    c_24__type__6196: $i ).

thf(tp_c_24__type__6196___24t,type,
    c_24__type__6196___24t: $i > $o ).

thf(tp_c_24__type__62151___24a10,type,
    c_24__type__62151___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62151___24t,type,
    c_24__type__62151___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62244___24a10,type,
    c_24__type__62244___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62244___24t,type,
    c_24__type__62244___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62337___24a10,type,
    c_24__type__62337___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62337___24t,type,
    c_24__type__62337___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62419___24a10,type,
    c_24__type__62419___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62419___24t,type,
    c_24__type__62419___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62512___24a10,type,
    c_24__type__62512___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62512___24t,type,
    c_24__type__62512___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62594___24a10,type,
    c_24__type__62594___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62594___24t,type,
    c_24__type__62594___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62687___24a10,type,
    c_24__type__62687___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62687___24t,type,
    c_24__type__62687___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62858___24a8,type,
    c_24__type__62858___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62858___24t,type,
    c_24__type__62858___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62921___24a8,type,
    c_24__type__62921___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62921___24t,type,
    c_24__type__62921___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__62984___24a8,type,
    c_24__type__62984___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__62984___24t,type,
    c_24__type__62984___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__63038___24a8,type,
    c_24__type__63038___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__63038___24t,type,
    c_24__type__63038___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__63101___24a8,type,
    c_24__type__63101___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__63101___24t,type,
    c_24__type__63101___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__63208,type,
    c_24__type__63208: $i ).

thf(tp_c_24__type__63208___24t,type,
    c_24__type__63208___24t: $i > $o ).

thf(tp_c_24__type__63248___24a3,type,
    c_24__type__63248___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__63248___24t,type,
    c_24__type__63248___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__63272___24a3,type,
    c_24__type__63272___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__63272___24t,type,
    c_24__type__63272___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__63295,type,
    c_24__type__63295: $i ).

thf(tp_c_24__type__63295___24t,type,
    c_24__type__63295___24t: $i > $o ).

thf(tp_c_24__type__63546,type,
    c_24__type__63546: $i ).

thf(tp_c_24__type__63546___24t,type,
    c_24__type__63546___24t: $i > $o ).

thf(tp_c_24__type__63548,type,
    c_24__type__63548: $i ).

thf(tp_c_24__type__63548___24t,type,
    c_24__type__63548___24t: $i > $o ).

thf(tp_c_24__type__63609,type,
    c_24__type__63609: $i ).

thf(tp_c_24__type__63609___24t,type,
    c_24__type__63609___24t: $i > $o ).

thf(tp_c_24__type__63643,type,
    c_24__type__63643: $i ).

thf(tp_c_24__type__63643___24t,type,
    c_24__type__63643___24t: $i > $o ).

thf(tp_c_24__type__63713,type,
    c_24__type__63713: $i ).

thf(tp_c_24__type__63713___24t,type,
    c_24__type__63713___24t: $i > $o ).

thf(tp_c_24__type__63892___24a6,type,
    c_24__type__63892___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__63892___24t,type,
    c_24__type__63892___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__63931___24a6,type,
    c_24__type__63931___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__63931___24t,type,
    c_24__type__63931___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__63970___24a6,type,
    c_24__type__63970___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__63970___24t,type,
    c_24__type__63970___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__64023,type,
    c_24__type__64023: $i ).

thf(tp_c_24__type__64023___24t,type,
    c_24__type__64023___24t: $i > $o ).

thf(tp_c_24__type__64046,type,
    c_24__type__64046: $i ).

thf(tp_c_24__type__64046___24t,type,
    c_24__type__64046___24t: $i > $o ).

thf(tp_c_24__type__64056___24a2,type,
    c_24__type__64056___24a2: $i > $i > $i ).

thf(tp_c_24__type__64056___24t,type,
    c_24__type__64056___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__64065,type,
    c_24__type__64065: $i ).

thf(tp_c_24__type__64065___24t,type,
    c_24__type__64065___24t: $i > $o ).

thf(tp_c_24__type__64082___24a2,type,
    c_24__type__64082___24a2: $i > $i > $i ).

thf(tp_c_24__type__64082___24t,type,
    c_24__type__64082___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__64086,type,
    c_24__type__64086: $i ).

thf(tp_c_24__type__64086___24t,type,
    c_24__type__64086___24t: $i > $o ).

thf(tp_c_24__type__64104,type,
    c_24__type__64104: $i ).

thf(tp_c_24__type__64104___24t,type,
    c_24__type__64104___24t: $i > $o ).

thf(tp_c_24__type__64161,type,
    c_24__type__64161: $i ).

thf(tp_c_24__type__64161___24t,type,
    c_24__type__64161___24t: $i > $o ).

thf(tp_c_24__type__64637,type,
    c_24__type__64637: $i ).

thf(tp_c_24__type__64637___24t,type,
    c_24__type__64637___24t: $i > $o ).

thf(tp_c_24__type__64642___24a2,type,
    c_24__type__64642___24a2: $i > $i > $i ).

thf(tp_c_24__type__64642___24t,type,
    c_24__type__64642___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__64648,type,
    c_24__type__64648: $i ).

thf(tp_c_24__type__64648___24t,type,
    c_24__type__64648___24t: $i > $o ).

thf(tp_c_24__type__64701___24a1,type,
    c_24__type__64701___24a1: $i > $i ).

thf(tp_c_24__type__64701___24t,type,
    c_24__type__64701___24t: $i > $i > $o ).

thf(tp_c_24__type__64711,type,
    c_24__type__64711: $i ).

thf(tp_c_24__type__64711___24t,type,
    c_24__type__64711___24t: $i > $o ).

thf(tp_c_24__type__64727,type,
    c_24__type__64727: $i ).

thf(tp_c_24__type__64727___24t,type,
    c_24__type__64727___24t: $i > $o ).

thf(tp_c_24__type__64768,type,
    c_24__type__64768: $i ).

thf(tp_c_24__type__64768___24t,type,
    c_24__type__64768___24t: $i > $o ).

thf(tp_c_24__type__64775,type,
    c_24__type__64775: $i ).

thf(tp_c_24__type__64775___24t,type,
    c_24__type__64775___24t: $i > $o ).

thf(tp_c_24__type__64779,type,
    c_24__type__64779: $i ).

thf(tp_c_24__type__64779___24t,type,
    c_24__type__64779___24t: $i > $o ).

thf(tp_c_24__type__64787,type,
    c_24__type__64787: $i ).

thf(tp_c_24__type__64787___24t,type,
    c_24__type__64787___24t: $i > $o ).

thf(tp_c_24__type__64806,type,
    c_24__type__64806: $i ).

thf(tp_c_24__type__64806___24t,type,
    c_24__type__64806___24t: $i > $o ).

thf(tp_c_24__type__64809,type,
    c_24__type__64809: $i ).

thf(tp_c_24__type__64809___24t,type,
    c_24__type__64809___24t: $i > $o ).

thf(tp_c_24__type__64812,type,
    c_24__type__64812: $i ).

thf(tp_c_24__type__64812___24t,type,
    c_24__type__64812___24t: $i > $o ).

thf(tp_c_24__type__6675,type,
    c_24__type__6675: $i ).

thf(tp_c_24__type__6675___24t,type,
    c_24__type__6675___24t: $i > $o ).

thf(tp_c_24__type__6692,type,
    c_24__type__6692: $i ).

thf(tp_c_24__type__6692___24t,type,
    c_24__type__6692___24t: $i > $o ).

thf(tp_c_24__type__6709,type,
    c_24__type__6709: $i ).

thf(tp_c_24__type__6709___24t,type,
    c_24__type__6709___24t: $i > $o ).

thf(tp_c_24__type__6728,type,
    c_24__type__6728: $i ).

thf(tp_c_24__type__6728___24t,type,
    c_24__type__6728___24t: $i > $o ).

thf(tp_c_24__type__6761,type,
    c_24__type__6761: $i ).

thf(tp_c_24__type__6761___24t,type,
    c_24__type__6761___24t: $i > $o ).

thf(tp_c_24__type__6802,type,
    c_24__type__6802: $i ).

thf(tp_c_24__type__6802___24t,type,
    c_24__type__6802___24t: $i > $o ).

thf(tp_c_24__type__6804,type,
    c_24__type__6804: $i ).

thf(tp_c_24__type__6804___24t,type,
    c_24__type__6804___24t: $i > $o ).

thf(tp_c_24__type__6842___24a1,type,
    c_24__type__6842___24a1: $i > $i ).

thf(tp_c_24__type__6842___24t,type,
    c_24__type__6842___24t: $i > $i > $o ).

thf(tp_c_24__type__9,type,
    c_24__type__9: $i ).

thf(tp_c_24__type__9___24t,type,
    c_24__type__9___24t: $i > $o ).

thf(tp_c_3c_3d_3e,type,
    c_3c_3d_3e: $i ).

thf(tp_c_3d___24a1,type,
    c_3d___24a1: $i > $i ).

thf(tp_cdefault,type,
    cdefault: $i ).

thf(tp_happ,type,
    happ: $i > $i > $i ).

thf(tp_p,type,
    p: $i > $o ).

thf(tp_sK10_SY106,type,
    sK10_SY106: $i > $i ).

thf(tp_sK1_V0__c,type,
    sK1_V0__c: $i ).

thf(tp_sK2_SX0,type,
    sK2_SX0: $i ).

thf(tp_sK3_SY60,type,
    sK3_SY60: $i ).

thf(tp_sK4_SY79,type,
    sK4_SY79: $i ).

thf(tp_sK5_SY44,type,
    sK5_SY44: $i > $i ).

thf(tp_sK6_SY90,type,
    sK6_SY90: $i ).

thf(tp_sK7_SY91,type,
    sK7_SY91: $i > $i ).

thf(tp_sK8_SY101,type,
    sK8_SY101: $i > $i ).

thf(tp_sK9_SY104,type,
    sK9_SY104: $i > $i ).

thf(tp_t,type,
    t: $i > $i > $o ).

thf(1554,axiom,
    cV___24t @ cdefault,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_default') ).

thf(1576,axiom,
    cRedblack_2eTREES_2etree___24t @ cRedblack_2eTREES_2eempty__tree,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Redblack.TREES.empty_tree') ).

thf(1579,axiom,
    cRedblack_2eTREES_2etree___24t @ cRedblack_2eTREES_2eE,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Redblack.TREES.E') ).

thf(1580,axiom,
    cRedblack_2ecolor___24t @ cRedblack_2eRed,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Redblack.Red') ).

thf(1581,axiom,
    cRedblack_2ecolor___24t @ cRedblack_2eBlack,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Redblack.Black') ).

thf(2372,axiom,
    ! [VX3177: $i] :
      ( ( cRedblack_2eTREES_2etree___24t @ VX3177 )
     => ( ( VX3177 = cRedblack_2eTREES_2eE )
        | ? [Vvar__0___24Anonymous__3178: $i] :
            ( ( cRedblack_2ecolor___24t @ Vvar__0___24Anonymous__3178 )
            & ? [Vvar__1___24Anonymous__3179: $i] :
                ( ( cRedblack_2eTREES_2etree___24t @ Vvar__1___24Anonymous__3179 )
                & ? [Vvar__2___24Anonymous__3180: $i] :
                    ( ( cRedblack_2ekey___24t @ Vvar__2___24Anonymous__3180 )
                    & ? [Vvar__3___24Anonymous__3181: $i] :
                        ( ( cV___24t @ Vvar__3___24Anonymous__3181 )
                        & ? [Vvar__4___24Anonymous__3182: $i] :
                            ( ( cRedblack_2eTREES_2etree___24t @ Vvar__4___24Anonymous__3182 )
                            & ( VX3177
                              = ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3178 @ Vvar__1___24Anonymous__3179 @ Vvar__2___24Anonymous__3180 @ Vvar__3___24Anonymous__3181 @ Vvar__4___24Anonymous__3182 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_inversion_Redblack.TREES.tree') ).

thf(2439,axiom,
    ! [Vvar__0___24Anonymous__3188: $i,Vvar__0___24Anonymous__3189: $i,Vvar__1___24Anonymous__3190: $i,Vvar__1___24Anonymous__3191: $i,Vvar__2___24Anonymous__3192: $i,Vvar__2___24Anonymous__3193: $i,Vvar__3___24Anonymous__3194: $i,Vvar__3___24Anonymous__3195: $i,Vvar__4___24Anonymous__3196: $i,Vvar__4___24Anonymous__3197: $i] :
      ( ( ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3188 @ Vvar__1___24Anonymous__3190 @ Vvar__2___24Anonymous__3192 @ Vvar__3___24Anonymous__3194 @ Vvar__4___24Anonymous__3196 )
        = ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3189 @ Vvar__1___24Anonymous__3191 @ Vvar__2___24Anonymous__3193 @ Vvar__3___24Anonymous__3195 @ Vvar__4___24Anonymous__3197 ) )
     => ( ( Vvar__4___24Anonymous__3196 = Vvar__4___24Anonymous__3197 )
        & ( Vvar__3___24Anonymous__3194 = Vvar__3___24Anonymous__3195 )
        & ( Vvar__2___24Anonymous__3192 = Vvar__2___24Anonymous__3193 )
        & ( Vvar__1___24Anonymous__3190 = Vvar__1___24Anonymous__3191 )
        & ( Vvar__0___24Anonymous__3188 = Vvar__0___24Anonymous__3189 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_inj_Redblack.TREES.T') ).

thf(2518,axiom,
    ! [Vvar__0___24Anonymous__3183: $i,Vvar__1___24Anonymous__3184: $i,Vvar__2___24Anonymous__3185: $i,Vvar__3___24Anonymous__3186: $i,Vvar__4___24Anonymous__3187: $i] :
      ( cRedblack_2eTREES_2eE
     != ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3183 @ Vvar__1___24Anonymous__3184 @ Vvar__2___24Anonymous__3185 @ Vvar__3___24Anonymous__3186 @ Vvar__4___24Anonymous__3187 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_discrim_Redblack.TREES.E$Redblack.TREES.T') ).

thf(2551,axiom,
    ! [Vvar__3230: $i] :
      ( ( cRedblack_2ekey___24t @ Vvar__3230 )
    <=> ( cVFA_2eExtract_2eint___24t @ Vvar__3230 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Redblack.key') ).

thf(2560,axiom,
    cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Redblack.TREES.empty_tree') ).

thf(2821,conjecture,
    ! [V0__c: $i] :
      ( ( cRedblack_2ecolor___24t @ V0__c )
     => ! [V1__l: $i] :
          ( ( cRedblack_2eTREES_2etree___24t @ V1__l )
         => ! [V2__k: $i] :
              ( ( cRedblack_2ekey___24t @ V2__k )
             => ! [V3__v: $i] :
                  ( ( cV___24t @ V3__v )
                 => ! [V4__r: $i] :
                      ( ( cRedblack_2eTREES_2etree___24t @ V4__r )
                     => ( ( cRedblack_2eTREES_2eT___24a5 @ V0__c @ V1__l @ V2__k @ V3__v @ V4__r )
                       != cRedblack_2eTREES_2eE ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

thf(2822,negated_conjecture,
    ( ( ! [V0__c: $i] :
          ( ( cRedblack_2ecolor___24t @ V0__c )
         => ! [V1__l: $i] :
              ( ( cRedblack_2eTREES_2etree___24t @ V1__l )
             => ! [V2__k: $i] :
                  ( ( cRedblack_2ekey___24t @ V2__k )
                 => ! [V3__v: $i] :
                      ( ( cV___24t @ V3__v )
                     => ! [V4__r: $i] :
                          ( ( cRedblack_2eTREES_2etree___24t @ V4__r )
                         => ( ( cRedblack_2eTREES_2eT___24a5 @ V0__c @ V1__l @ V2__k @ V3__v @ V4__r )
                           != cRedblack_2eTREES_2eE ) ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[2821]) ).

thf(2823,plain,
    ( ( ! [V0__c: $i] :
          ( ( cRedblack_2ecolor___24t @ V0__c )
         => ! [V1__l: $i] :
              ( ( cRedblack_2eTREES_2etree___24t @ V1__l )
             => ! [V2__k: $i] :
                  ( ( cRedblack_2ekey___24t @ V2__k )
                 => ! [V3__v: $i] :
                      ( ( cV___24t @ V3__v )
                     => ! [V4__r: $i] :
                          ( ( cRedblack_2eTREES_2etree___24t @ V4__r )
                         => ( ( cRedblack_2eTREES_2eT___24a5 @ V0__c @ V1__l @ V2__k @ V3__v @ V4__r )
                           != cRedblack_2eTREES_2eE ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2822]) ).

thf(2824,plain,
    ( ( cV___24t @ cdefault )
    = $true ),
    inference(unfold_def,[status(thm)],[1554]) ).

thf(2825,plain,
    ( ( cRedblack_2eTREES_2etree___24t @ cRedblack_2eTREES_2eempty__tree )
    = $true ),
    inference(unfold_def,[status(thm)],[1576]) ).

thf(2826,plain,
    ( ( cRedblack_2eTREES_2etree___24t @ cRedblack_2eTREES_2eE )
    = $true ),
    inference(unfold_def,[status(thm)],[1579]) ).

thf(2827,plain,
    ( ( cRedblack_2ecolor___24t @ cRedblack_2eRed )
    = $true ),
    inference(unfold_def,[status(thm)],[1580]) ).

thf(2828,plain,
    ( ( cRedblack_2ecolor___24t @ cRedblack_2eBlack )
    = $true ),
    inference(unfold_def,[status(thm)],[1581]) ).

thf(2829,plain,
    ( ( ! [VX3177: $i] :
          ( ( cRedblack_2eTREES_2etree___24t @ VX3177 )
         => ( ( VX3177 = cRedblack_2eTREES_2eE )
            | ? [Vvar__0___24Anonymous__3178: $i] :
                ( ( cRedblack_2ecolor___24t @ Vvar__0___24Anonymous__3178 )
                & ? [Vvar__1___24Anonymous__3179: $i] :
                    ( ( cRedblack_2eTREES_2etree___24t @ Vvar__1___24Anonymous__3179 )
                    & ? [Vvar__2___24Anonymous__3180: $i] :
                        ( ( cRedblack_2ekey___24t @ Vvar__2___24Anonymous__3180 )
                        & ? [Vvar__3___24Anonymous__3181: $i] :
                            ( ( cV___24t @ Vvar__3___24Anonymous__3181 )
                            & ? [Vvar__4___24Anonymous__3182: $i] :
                                ( ( cRedblack_2eTREES_2etree___24t @ Vvar__4___24Anonymous__3182 )
                                & ( VX3177
                                  = ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3178 @ Vvar__1___24Anonymous__3179 @ Vvar__2___24Anonymous__3180 @ Vvar__3___24Anonymous__3181 @ Vvar__4___24Anonymous__3182 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2372]) ).

thf(2830,plain,
    ( ( ! [Vvar__0___24Anonymous__3188: $i,Vvar__0___24Anonymous__3189: $i,Vvar__1___24Anonymous__3190: $i,Vvar__1___24Anonymous__3191: $i,Vvar__2___24Anonymous__3192: $i,Vvar__2___24Anonymous__3193: $i,Vvar__3___24Anonymous__3194: $i,Vvar__3___24Anonymous__3195: $i,Vvar__4___24Anonymous__3196: $i,Vvar__4___24Anonymous__3197: $i] :
          ( ( ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3188 @ Vvar__1___24Anonymous__3190 @ Vvar__2___24Anonymous__3192 @ Vvar__3___24Anonymous__3194 @ Vvar__4___24Anonymous__3196 )
            = ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3189 @ Vvar__1___24Anonymous__3191 @ Vvar__2___24Anonymous__3193 @ Vvar__3___24Anonymous__3195 @ Vvar__4___24Anonymous__3197 ) )
         => ( ( Vvar__4___24Anonymous__3196 = Vvar__4___24Anonymous__3197 )
            & ( Vvar__3___24Anonymous__3194 = Vvar__3___24Anonymous__3195 )
            & ( Vvar__2___24Anonymous__3192 = Vvar__2___24Anonymous__3193 )
            & ( Vvar__1___24Anonymous__3190 = Vvar__1___24Anonymous__3191 )
            & ( Vvar__0___24Anonymous__3188 = Vvar__0___24Anonymous__3189 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2439]) ).

thf(2831,plain,
    ( ( ! [Vvar__0___24Anonymous__3183: $i,Vvar__1___24Anonymous__3184: $i,Vvar__2___24Anonymous__3185: $i,Vvar__3___24Anonymous__3186: $i,Vvar__4___24Anonymous__3187: $i] :
          ( cRedblack_2eTREES_2eE
         != ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3183 @ Vvar__1___24Anonymous__3184 @ Vvar__2___24Anonymous__3185 @ Vvar__3___24Anonymous__3186 @ Vvar__4___24Anonymous__3187 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2518]) ).

thf(2832,plain,
    ( ( ! [Vvar__3230: $i] :
          ( ( cRedblack_2ekey___24t @ Vvar__3230 )
        <=> ( cVFA_2eExtract_2eint___24t @ Vvar__3230 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2551]) ).

thf(2833,plain,
    ( ( cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE )
    = $true ),
    inference(unfold_def,[status(thm)],[2560]) ).

thf(2834,plain,
    ( ( ( cRedblack_2ecolor___24t @ sK1_V0__c )
     => ! [SY27: $i] :
          ( ( cRedblack_2eTREES_2etree___24t @ SY27 )
         => ! [SY28: $i] :
              ( ( cRedblack_2ekey___24t @ SY28 )
             => ! [SY29: $i] :
                  ( ( cV___24t @ SY29 )
                 => ! [SY30: $i] :
                      ( ( cRedblack_2eTREES_2etree___24t @ SY30 )
                     => ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ SY27 @ SY28 @ SY29 @ SY30 )
                       != cRedblack_2eTREES_2eE ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2823]) ).

thf(2835,plain,
    ( ( cRedblack_2ecolor___24t @ sK1_V0__c )
    = $true ),
    inference(standard_cnf,[status(thm)],[2834]) ).

thf(2836,plain,
    ( ( ! [SY27: $i] :
          ( ( cRedblack_2eTREES_2etree___24t @ SY27 )
         => ! [SY28: $i] :
              ( ( cRedblack_2ekey___24t @ SY28 )
             => ! [SY29: $i] :
                  ( ( cV___24t @ SY29 )
                 => ! [SY30: $i] :
                      ( ( cRedblack_2eTREES_2etree___24t @ SY30 )
                     => ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ SY27 @ SY28 @ SY29 @ SY30 )
                       != cRedblack_2eTREES_2eE ) ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[2834]) ).

thf(2837,plain,
    ( ( ~ ! [SY27: $i] :
            ( ( cRedblack_2eTREES_2etree___24t @ SY27 )
           => ! [SY28: $i] :
                ( ( cRedblack_2ekey___24t @ SY28 )
               => ! [SY29: $i] :
                    ( ( cV___24t @ SY29 )
                   => ! [SY30: $i] :
                        ( ( cRedblack_2eTREES_2etree___24t @ SY30 )
                       => ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ SY27 @ SY28 @ SY29 @ SY30 )
                         != cRedblack_2eTREES_2eE ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[2836]) ).

thf(2838,plain,
    ( ( cRedblack_2eTREES_2eempty__tree = cRedblack_2eTREES_2eE )
    = $true ),
    inference(copy,[status(thm)],[2833]) ).

thf(2839,plain,
    ( ( ! [Vvar__3230: $i] :
          ( ( cRedblack_2ekey___24t @ Vvar__3230 )
        <=> ( cVFA_2eExtract_2eint___24t @ Vvar__3230 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2832]) ).

thf(2840,plain,
    ( ( ! [Vvar__0___24Anonymous__3183: $i,Vvar__1___24Anonymous__3184: $i,Vvar__2___24Anonymous__3185: $i,Vvar__3___24Anonymous__3186: $i,Vvar__4___24Anonymous__3187: $i] :
          ( cRedblack_2eTREES_2eE
         != ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3183 @ Vvar__1___24Anonymous__3184 @ Vvar__2___24Anonymous__3185 @ Vvar__3___24Anonymous__3186 @ Vvar__4___24Anonymous__3187 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2831]) ).

thf(2841,plain,
    ( ( ! [Vvar__0___24Anonymous__3188: $i,Vvar__0___24Anonymous__3189: $i,Vvar__1___24Anonymous__3190: $i,Vvar__1___24Anonymous__3191: $i,Vvar__2___24Anonymous__3192: $i,Vvar__2___24Anonymous__3193: $i,Vvar__3___24Anonymous__3194: $i,Vvar__3___24Anonymous__3195: $i,Vvar__4___24Anonymous__3196: $i,Vvar__4___24Anonymous__3197: $i] :
          ( ( ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3188 @ Vvar__1___24Anonymous__3190 @ Vvar__2___24Anonymous__3192 @ Vvar__3___24Anonymous__3194 @ Vvar__4___24Anonymous__3196 )
            = ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3189 @ Vvar__1___24Anonymous__3191 @ Vvar__2___24Anonymous__3193 @ Vvar__3___24Anonymous__3195 @ Vvar__4___24Anonymous__3197 ) )
         => ( ( Vvar__4___24Anonymous__3196 = Vvar__4___24Anonymous__3197 )
            & ( Vvar__3___24Anonymous__3194 = Vvar__3___24Anonymous__3195 )
            & ( Vvar__2___24Anonymous__3192 = Vvar__2___24Anonymous__3193 )
            & ( Vvar__1___24Anonymous__3190 = Vvar__1___24Anonymous__3191 )
            & ( Vvar__0___24Anonymous__3188 = Vvar__0___24Anonymous__3189 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2830]) ).

thf(2842,plain,
    ( ( ! [VX3177: $i] :
          ( ( cRedblack_2eTREES_2etree___24t @ VX3177 )
         => ( ( VX3177 = cRedblack_2eTREES_2eE )
            | ? [Vvar__0___24Anonymous__3178: $i] :
                ( ( cRedblack_2ecolor___24t @ Vvar__0___24Anonymous__3178 )
                & ? [Vvar__1___24Anonymous__3179: $i] :
                    ( ( cRedblack_2eTREES_2etree___24t @ Vvar__1___24Anonymous__3179 )
                    & ? [Vvar__2___24Anonymous__3180: $i] :
                        ( ( cRedblack_2ekey___24t @ Vvar__2___24Anonymous__3180 )
                        & ? [Vvar__3___24Anonymous__3181: $i] :
                            ( ( cV___24t @ Vvar__3___24Anonymous__3181 )
                            & ? [Vvar__4___24Anonymous__3182: $i] :
                                ( ( cRedblack_2eTREES_2etree___24t @ Vvar__4___24Anonymous__3182 )
                                & ( VX3177
                                  = ( cRedblack_2eTREES_2eT___24a5 @ Vvar__0___24Anonymous__3178 @ Vvar__1___24Anonymous__3179 @ Vvar__2___24Anonymous__3180 @ Vvar__3___24Anonymous__3181 @ Vvar__4___24Anonymous__3182 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2829]) ).

thf(2843,plain,
    ( ( cRedblack_2ecolor___24t @ cRedblack_2eBlack )
    = $true ),
    inference(copy,[status(thm)],[2828]) ).

thf(2844,plain,
    ( ( cRedblack_2ecolor___24t @ cRedblack_2eRed )
    = $true ),
    inference(copy,[status(thm)],[2827]) ).

thf(2845,plain,
    ( ( cRedblack_2eTREES_2etree___24t @ cRedblack_2eTREES_2eE )
    = $true ),
    inference(copy,[status(thm)],[2826]) ).

thf(2846,plain,
    ( ( cRedblack_2eTREES_2etree___24t @ cRedblack_2eTREES_2eempty__tree )
    = $true ),
    inference(copy,[status(thm)],[2825]) ).

thf(2847,plain,
    ( ( cV___24t @ cdefault )
    = $true ),
    inference(copy,[status(thm)],[2824]) ).

thf(2848,plain,
    ( ( cRedblack_2ecolor___24t @ sK1_V0__c )
    = $true ),
    inference(copy,[status(thm)],[2835]) ).

thf(2849,plain,
    ( ( ~ ! [SY27: $i] :
            ( ( cRedblack_2eTREES_2etree___24t @ SY27 )
           => ! [SY28: $i] :
                ( ( cRedblack_2ekey___24t @ SY28 )
               => ! [SY29: $i] :
                    ( ( cV___24t @ SY29 )
                   => ! [SY30: $i] :
                        ( ( cRedblack_2eTREES_2etree___24t @ SY30 )
                       => ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ SY27 @ SY28 @ SY29 @ SY30 )
                         != cRedblack_2eTREES_2eE ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2837]) ).

thf(2850,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
          ( ( ( cRedblack_2eTREES_2eT___24a5 @ SX0 @ SX2 @ SX4 @ SX6 @ SX8 )
           != ( cRedblack_2eTREES_2eT___24a5 @ SX1 @ SX3 @ SX5 @ SX7 @ SX9 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX8 != SX9 )
                                | ( SX6 != SX7 ) )
                          | ( SX4 != SX5 ) )
                    | ( SX2 != SX3 ) )
              | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2841]) ).

thf(2851,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( cRedblack_2eTREES_2eE
         != ( cRedblack_2eTREES_2eT___24a5 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2840]) ).

thf(2852,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( cRedblack_2ekey___24t @ SX0 )
                | ( cVFA_2eExtract_2eint___24t @ SX0 ) )
            | ~ ( ~ ( cVFA_2eExtract_2eint___24t @ SX0 )
                | ( cRedblack_2ekey___24t @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2839]) ).

thf(2853,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cRedblack_2eTREES_2etree___24t @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( cRedblack_2ekey___24t @ SX1 )
                | ! [SX2: $i] :
                    ( ~ ( cV___24t @ SX2 )
                    | ! [SX3: $i] :
                        ( ~ ( cRedblack_2eTREES_2etree___24t @ SX3 )
                        | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ SX0 @ SX1 @ SX2 @ SX3 )
                         != cRedblack_2eTREES_2eE ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2849]) ).

thf(2854,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cRedblack_2eTREES_2etree___24t @ SX0 )
          | ( SX0 = cRedblack_2eTREES_2eE )
          | ~ ! [SX1: $i] :
                ~ ~ ( ~ ( cRedblack_2ecolor___24t @ SX1 )
                    | ~ ~ ! [SX2: $i] :
                            ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SX2 )
                                | ~ ~ ! [SX3: $i] :
                                        ~ ~ ( ~ ( cRedblack_2ekey___24t @ SX3 )
                                            | ~ ~ ! [SX4: $i] :
                                                    ~ ~ ( ~ ( cV___24t @ SX4 )
                                                        | ~ ~ ! [SX5: $i] :
                                                                ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SX5 )
                                                                    | ( SX0
                                                                     != ( cRedblack_2eTREES_2eT___24a5 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2842]) ).

thf(2855,plain,
    ! [SV1: $i] :
      ( ( ! [SY31: $i,SY32: $i,SY33: $i,SY34: $i,SY35: $i,SY36: $i,SY37: $i,SY38: $i,SY39: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SY32 @ SY34 @ SY36 @ SY38 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SY31 @ SY33 @ SY35 @ SY37 @ SY39 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY38 != SY39 )
                                  | ( SY36 != SY37 ) )
                            | ( SY34 != SY35 ) )
                      | ( SY32 != SY33 ) )
                | ( SV1 != SY31 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2850]) ).

thf(2856,plain,
    ! [SV2: $i] :
      ( ( ! [SY40: $i,SY41: $i,SY42: $i,SY43: $i] :
            ( cRedblack_2eTREES_2eE
           != ( cRedblack_2eTREES_2eT___24a5 @ SV2 @ SY40 @ SY41 @ SY42 @ SY43 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2851]) ).

thf(2857,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( ~ ( cRedblack_2ekey___24t @ SV3 )
                | ( cVFA_2eExtract_2eint___24t @ SV3 ) )
            | ~ ( ~ ( cVFA_2eExtract_2eint___24t @ SV3 )
                | ( cRedblack_2ekey___24t @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2852]) ).

thf(2858,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cRedblack_2eTREES_2etree___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cRedblack_2ekey___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cV___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cRedblack_2eTREES_2etree___24t @ SX3 )
                      | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ SX0 @ SX1 @ SX2 @ SX3 )
                       != cRedblack_2eTREES_2eE ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2853]) ).

thf(2859,plain,
    ! [SV4: $i] :
      ( ( ~ ( cRedblack_2eTREES_2etree___24t @ SV4 )
        | ( SV4 = cRedblack_2eTREES_2eE )
        | ~ ! [SY44: $i] :
              ~ ~ ( ~ ( cRedblack_2ecolor___24t @ SY44 )
                  | ~ ~ ! [SY45: $i] :
                          ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY45 )
                              | ~ ~ ! [SY46: $i] :
                                      ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY46 )
                                          | ~ ~ ! [SY47: $i] :
                                                  ~ ~ ( ~ ( cV___24t @ SY47 )
                                                      | ~ ~ ! [SY48: $i] :
                                                              ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY48 )
                                                                  | ( SV4
                                                                   != ( cRedblack_2eTREES_2eT___24a5 @ SY44 @ SY45 @ SY46 @ SY47 @ SY48 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2854]) ).

thf(2860,plain,
    ! [SV5: $i,SV1: $i] :
      ( ( ! [SY49: $i,SY50: $i,SY51: $i,SY52: $i,SY53: $i,SY54: $i,SY55: $i,SY56: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SY49 @ SY51 @ SY53 @ SY55 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SY50 @ SY52 @ SY54 @ SY56 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY55 != SY56 )
                                  | ( SY53 != SY54 ) )
                            | ( SY51 != SY52 ) )
                      | ( SY49 != SY50 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2855]) ).

thf(2861,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ! [SY57: $i,SY58: $i,SY59: $i] :
            ( cRedblack_2eTREES_2eE
           != ( cRedblack_2eTREES_2eT___24a5 @ SV2 @ SV6 @ SY57 @ SY58 @ SY59 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2856]) ).

thf(2862,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( cRedblack_2ekey___24t @ SV3 )
            | ( cVFA_2eExtract_2eint___24t @ SV3 ) )
        | ~ ( ~ ( cVFA_2eExtract_2eint___24t @ SV3 )
            | ( cRedblack_2ekey___24t @ SV3 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2857]) ).

thf(2863,plain,
    ( ( ~ ( cRedblack_2eTREES_2etree___24t @ sK2_SX0 )
      | ! [SY60: $i] :
          ( ~ ( cRedblack_2ekey___24t @ SY60 )
          | ! [SY61: $i] :
              ( ~ ( cV___24t @ SY61 )
              | ! [SY62: $i] :
                  ( ~ ( cRedblack_2eTREES_2etree___24t @ SY62 )
                  | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ SY60 @ SY61 @ SY62 )
                   != cRedblack_2eTREES_2eE ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2858]) ).

thf(2864,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2eTREES_2etree___24t @ SV4 ) )
        = $true )
      | ( ( ( SV4 = cRedblack_2eTREES_2eE )
          | ~ ! [SY44: $i] :
                ~ ~ ( ~ ( cRedblack_2ecolor___24t @ SY44 )
                    | ~ ~ ! [SY45: $i] :
                            ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY45 )
                                | ~ ~ ! [SY46: $i] :
                                        ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY46 )
                                            | ~ ~ ! [SY47: $i] :
                                                    ~ ~ ( ~ ( cV___24t @ SY47 )
                                                        | ~ ~ ! [SY48: $i] :
                                                                ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY48 )
                                                                    | ( SV4
                                                                     != ( cRedblack_2eTREES_2eT___24a5 @ SY44 @ SY45 @ SY46 @ SY47 @ SY48 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2859]) ).

thf(2865,plain,
    ! [SV5: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY63: $i,SY64: $i,SY65: $i,SY66: $i,SY67: $i,SY68: $i,SY69: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SY64 @ SY66 @ SY68 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SY63 @ SY65 @ SY67 @ SY69 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY68 != SY69 )
                                  | ( SY66 != SY67 ) )
                            | ( SY64 != SY65 ) )
                      | ( SV7 != SY63 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2860]) ).

thf(2866,plain,
    ! [SV8: $i,SV6: $i,SV2: $i] :
      ( ( ! [SY70: $i,SY71: $i] :
            ( cRedblack_2eTREES_2eE
           != ( cRedblack_2eTREES_2eT___24a5 @ SV2 @ SV6 @ SV8 @ SY70 @ SY71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2861]) ).

thf(2867,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( cRedblack_2ekey___24t @ SV3 )
            | ( cVFA_2eExtract_2eint___24t @ SV3 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2862]) ).

thf(2868,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( cVFA_2eExtract_2eint___24t @ SV3 )
            | ( cRedblack_2ekey___24t @ SV3 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2862]) ).

thf(2869,plain,
    ( ( ~ ( cRedblack_2eTREES_2etree___24t @ sK2_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2863]) ).

thf(2870,plain,
    ( ( ! [SY60: $i] :
          ( ~ ( cRedblack_2ekey___24t @ SY60 )
          | ! [SY61: $i] :
              ( ~ ( cV___24t @ SY61 )
              | ! [SY62: $i] :
                  ( ~ ( cRedblack_2eTREES_2etree___24t @ SY62 )
                  | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ SY60 @ SY61 @ SY62 )
                   != cRedblack_2eTREES_2eE ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2863]) ).

thf(2871,plain,
    ! [SV4: $i] :
      ( ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false )
      | ( ( ( SV4 = cRedblack_2eTREES_2eE )
          | ~ ! [SY44: $i] :
                ~ ~ ( ~ ( cRedblack_2ecolor___24t @ SY44 )
                    | ~ ~ ! [SY45: $i] :
                            ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY45 )
                                | ~ ~ ! [SY46: $i] :
                                        ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY46 )
                                            | ~ ~ ! [SY47: $i] :
                                                    ~ ~ ( ~ ( cV___24t @ SY47 )
                                                        | ~ ~ ! [SY48: $i] :
                                                                ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY48 )
                                                                    | ( SV4
                                                                     != ( cRedblack_2eTREES_2eT___24a5 @ SY44 @ SY45 @ SY46 @ SY47 @ SY48 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2864]) ).

thf(2872,plain,
    ! [SV9: $i,SV5: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY72: $i,SY73: $i,SY74: $i,SY75: $i,SY76: $i,SY77: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SY72 @ SY74 @ SY76 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SY73 @ SY75 @ SY77 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY76 != SY77 )
                                  | ( SY74 != SY75 ) )
                            | ( SY72 != SY73 ) )
                      | ( SV7 != SV9 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2865]) ).

thf(2873,plain,
    ! [SV10: $i,SV8: $i,SV6: $i,SV2: $i] :
      ( ( ! [SY78: $i] :
            ( cRedblack_2eTREES_2eE
           != ( cRedblack_2eTREES_2eT___24a5 @ SV2 @ SV6 @ SV8 @ SV10 @ SY78 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2866]) ).

thf(2874,plain,
    ! [SV3: $i] :
      ( ( ~ ( cRedblack_2ekey___24t @ SV3 )
        | ( cVFA_2eExtract_2eint___24t @ SV3 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2867]) ).

thf(2875,plain,
    ! [SV3: $i] :
      ( ( ~ ( cVFA_2eExtract_2eint___24t @ SV3 )
        | ( cRedblack_2ekey___24t @ SV3 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2868]) ).

thf(2876,plain,
    ( ( cRedblack_2eTREES_2etree___24t @ sK2_SX0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2869]) ).

thf(2877,plain,
    ( ( ~ ( cRedblack_2ekey___24t @ sK3_SY60 )
      | ! [SY79: $i] :
          ( ~ ( cV___24t @ SY79 )
          | ! [SY80: $i] :
              ( ~ ( cRedblack_2eTREES_2etree___24t @ SY80 )
              | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ sK3_SY60 @ SY79 @ SY80 )
               != cRedblack_2eTREES_2eE ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2870]) ).

thf(2878,plain,
    ! [SV4: $i] :
      ( ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( ~ ! [SY44: $i] :
                ~ ~ ( ~ ( cRedblack_2ecolor___24t @ SY44 )
                    | ~ ~ ! [SY45: $i] :
                            ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY45 )
                                | ~ ~ ! [SY46: $i] :
                                        ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY46 )
                                            | ~ ~ ! [SY47: $i] :
                                                    ~ ~ ( ~ ( cV___24t @ SY47 )
                                                        | ~ ~ ! [SY48: $i] :
                                                                ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY48 )
                                                                    | ( SV4
                                                                     != ( cRedblack_2eTREES_2eT___24a5 @ SY44 @ SY45 @ SY46 @ SY47 @ SY48 ) ) ) ) ) ) ) )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2871]) ).

thf(2879,plain,
    ! [SV9: $i,SV5: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY81: $i,SY82: $i,SY83: $i,SY84: $i,SY85: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SY82 @ SY84 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SY81 @ SY83 @ SY85 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY84 != SY85 )
                                  | ( SY82 != SY83 ) )
                            | ( SV11 != SY81 ) )
                      | ( SV7 != SV9 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2872]) ).

thf(2880,plain,
    ! [SV12: $i,SV10: $i,SV8: $i,SV6: $i,SV2: $i] :
      ( ( cRedblack_2eTREES_2eE
       != ( cRedblack_2eTREES_2eT___24a5 @ SV2 @ SV6 @ SV8 @ SV10 @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2873]) ).

thf(2881,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( cRedblack_2ekey___24t @ SV3 ) )
        = $true )
      | ( ( cVFA_2eExtract_2eint___24t @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2874]) ).

thf(2882,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( cVFA_2eExtract_2eint___24t @ SV3 ) )
        = $true )
      | ( ( cRedblack_2ekey___24t @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2875]) ).

thf(2883,plain,
    ( ( ~ ( cRedblack_2ekey___24t @ sK3_SY60 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2877]) ).

thf(2884,plain,
    ( ( ! [SY79: $i] :
          ( ~ ( cV___24t @ SY79 )
          | ! [SY80: $i] :
              ( ~ ( cRedblack_2eTREES_2etree___24t @ SY80 )
              | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ sK3_SY60 @ SY79 @ SY80 )
               != cRedblack_2eTREES_2eE ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2877]) ).

thf(2885,plain,
    ! [SV4: $i] :
      ( ( ( ! [SY44: $i] :
              ~ ~ ( ~ ( cRedblack_2ecolor___24t @ SY44 )
                  | ~ ~ ! [SY45: $i] :
                          ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY45 )
                              | ~ ~ ! [SY46: $i] :
                                      ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY46 )
                                          | ~ ~ ! [SY47: $i] :
                                                  ~ ~ ( ~ ( cV___24t @ SY47 )
                                                      | ~ ~ ! [SY48: $i] :
                                                              ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY48 )
                                                                  | ( SV4
                                                                   != ( cRedblack_2eTREES_2eT___24a5 @ SY44 @ SY45 @ SY46 @ SY47 @ SY48 ) ) ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2878]) ).

thf(2886,plain,
    ! [SV13: $i,SV9: $i,SV5: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY86: $i,SY87: $i,SY88: $i,SY89: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SY86 @ SY88 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SY87 @ SY89 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY88 != SY89 )
                                  | ( SY86 != SY87 ) )
                            | ( SV11 != SV13 ) )
                      | ( SV7 != SV9 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2879]) ).

thf(2887,plain,
    ! [SV12: $i,SV10: $i,SV8: $i,SV6: $i,SV2: $i] :
      ( ( cRedblack_2eTREES_2eE
        = ( cRedblack_2eTREES_2eT___24a5 @ SV2 @ SV6 @ SV8 @ SV10 @ SV12 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2880]) ).

thf(2888,plain,
    ! [SV3: $i] :
      ( ( ( cRedblack_2ekey___24t @ SV3 )
        = $false )
      | ( ( cVFA_2eExtract_2eint___24t @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2881]) ).

thf(2889,plain,
    ! [SV3: $i] :
      ( ( ( cVFA_2eExtract_2eint___24t @ SV3 )
        = $false )
      | ( ( cRedblack_2ekey___24t @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2882]) ).

thf(2890,plain,
    ( ( cRedblack_2ekey___24t @ sK3_SY60 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2883]) ).

thf(2891,plain,
    ( ( ~ ( cV___24t @ sK4_SY79 )
      | ! [SY90: $i] :
          ( ~ ( cRedblack_2eTREES_2etree___24t @ SY90 )
          | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ sK3_SY60 @ sK4_SY79 @ SY90 )
           != cRedblack_2eTREES_2eE ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2884]) ).

thf(2892,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( ~ ( cRedblack_2ecolor___24t @ ( sK5_SY44 @ SV4 ) )
                | ~ ~ ! [SY91: $i] :
                        ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY91 )
                            | ~ ~ ! [SY92: $i] :
                                    ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY92 )
                                        | ~ ~ ! [SY93: $i] :
                                                ~ ~ ( ~ ( cV___24t @ SY93 )
                                                    | ~ ~ ! [SY94: $i] :
                                                            ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY94 )
                                                                | ( SV4
                                                                 != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ SY91 @ SY92 @ SY93 @ SY94 ) ) ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2885]) ).

thf(2893,plain,
    ! [SV13: $i,SV9: $i,SV5: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY95: $i,SY96: $i,SY97: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SY96 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SY95 @ SY97 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY96 != SY97 )
                                  | ( SV14 != SY95 ) )
                            | ( SV11 != SV13 ) )
                      | ( SV7 != SV9 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2886]) ).

thf(2894,plain,
    ( ( ~ ( cV___24t @ sK4_SY79 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2891]) ).

thf(2895,plain,
    ( ( ! [SY90: $i] :
          ( ~ ( cRedblack_2eTREES_2etree___24t @ SY90 )
          | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ sK3_SY60 @ sK4_SY79 @ SY90 )
           != cRedblack_2eTREES_2eE ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2891]) ).

thf(2896,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( cRedblack_2ecolor___24t @ ( sK5_SY44 @ SV4 ) )
              | ~ ~ ! [SY91: $i] :
                      ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY91 )
                          | ~ ~ ! [SY92: $i] :
                                  ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY92 )
                                      | ~ ~ ! [SY93: $i] :
                                              ~ ~ ( ~ ( cV___24t @ SY93 )
                                                  | ~ ~ ! [SY94: $i] :
                                                          ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY94 )
                                                              | ( SV4
                                                               != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ SY91 @ SY92 @ SY93 @ SY94 ) ) ) ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2892]) ).

thf(2897,plain,
    ! [SV15: $i,SV13: $i,SV9: $i,SV5: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY98: $i,SY99: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SY98 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SY99 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY98 != SY99 )
                                  | ( SV14 != SV15 ) )
                            | ( SV11 != SV13 ) )
                      | ( SV7 != SV9 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2893]) ).

thf(2898,plain,
    ( ( cV___24t @ sK4_SY79 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2894]) ).

thf(2899,plain,
    ( ( ~ ( cRedblack_2eTREES_2etree___24t @ sK6_SY90 )
      | ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ sK3_SY60 @ sK4_SY79 @ sK6_SY90 )
       != cRedblack_2eTREES_2eE ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2895]) ).

thf(2900,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2ecolor___24t @ ( sK5_SY44 @ SV4 ) )
          | ~ ~ ! [SY91: $i] :
                  ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY91 )
                      | ~ ~ ! [SY92: $i] :
                              ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY92 )
                                  | ~ ~ ! [SY93: $i] :
                                          ~ ~ ( ~ ( cV___24t @ SY93 )
                                              | ~ ~ ! [SY94: $i] :
                                                      ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY94 )
                                                          | ( SV4
                                                           != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ SY91 @ SY92 @ SY93 @ SY94 ) ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2896]) ).

thf(2901,plain,
    ! [SV15: $i,SV13: $i,SV9: $i,SV5: $i,SV16: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY100: $i] :
            ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
             != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SY100 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV16 != SY100 )
                                  | ( SV14 != SV15 ) )
                            | ( SV11 != SV13 ) )
                      | ( SV7 != SV9 ) )
                | ( SV1 != SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2897]) ).

thf(2902,plain,
    ( ( ~ ( cRedblack_2eTREES_2etree___24t @ sK6_SY90 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2899]) ).

thf(2903,plain,
    ( ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ sK3_SY60 @ sK4_SY79 @ sK6_SY90 )
     != cRedblack_2eTREES_2eE )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2899]) ).

thf(2904,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2ecolor___24t @ ( sK5_SY44 @ SV4 ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2900]) ).

thf(2905,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ! [SY91: $i] :
                  ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY91 )
                      | ~ ~ ! [SY92: $i] :
                              ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY92 )
                                  | ~ ~ ! [SY93: $i] :
                                          ~ ~ ( ~ ( cV___24t @ SY93 )
                                              | ~ ~ ! [SY94: $i] :
                                                      ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY94 )
                                                          | ( SV4
                                                           != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ SY91 @ SY92 @ SY93 @ SY94 ) ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2900]) ).

thf(2906,plain,
    ! [SV17: $i,SV15: $i,SV13: $i,SV9: $i,SV5: $i,SV16: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
         != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                              | ( SV14 != SV15 ) )
                        | ( SV11 != SV13 ) )
                  | ( SV7 != SV9 ) )
            | ( SV1 != SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2901]) ).

thf(2907,plain,
    ( ( cRedblack_2eTREES_2etree___24t @ sK6_SY90 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2902]) ).

thf(2908,plain,
    ( ( ( cRedblack_2eTREES_2eT___24a5 @ sK1_V0__c @ sK2_SX0 @ sK3_SY60 @ sK4_SY79 @ sK6_SY90 )
      = cRedblack_2eTREES_2eE )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2903]) ).

thf(2909,plain,
    ! [SV4: $i] :
      ( ( ( cRedblack_2ecolor___24t @ ( sK5_SY44 @ SV4 ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2904]) ).

thf(2910,plain,
    ! [SV4: $i] :
      ( ( ( ~ ! [SY91: $i] :
                ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY91 )
                    | ~ ~ ! [SY92: $i] :
                            ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY92 )
                                | ~ ~ ! [SY93: $i] :
                                        ~ ~ ( ~ ( cV___24t @ SY93 )
                                            | ~ ~ ! [SY94: $i] :
                                                    ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY94 )
                                                        | ( SV4
                                                         != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ SY91 @ SY92 @ SY93 @ SY94 ) ) ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2905]) ).

thf(2911,plain,
    ! [SV17: $i,SV15: $i,SV13: $i,SV9: $i,SV5: $i,SV16: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
         != ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                                | ( SV14 != SV15 ) )
                          | ( SV11 != SV13 ) )
                    | ( SV7 != SV9 ) )
              | ( SV1 != SV5 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2906]) ).

thf(2912,plain,
    ! [SV4: $i] :
      ( ( ( ! [SY91: $i] :
              ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY91 )
                  | ~ ~ ! [SY92: $i] :
                          ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY92 )
                              | ~ ~ ! [SY93: $i] :
                                      ~ ~ ( ~ ( cV___24t @ SY93 )
                                          | ~ ~ ! [SY94: $i] :
                                                  ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY94 )
                                                      | ( SV4
                                                       != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ SY91 @ SY92 @ SY93 @ SY94 ) ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2910]) ).

thf(2913,plain,
    ! [SV17: $i,SV15: $i,SV13: $i,SV9: $i,SV5: $i,SV16: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i] :
      ( ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                                | ( SV14 != SV15 ) )
                          | ( SV11 != SV13 ) )
                    | ( SV7 != SV9 ) )
              | ( SV1 != SV5 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2911]) ).

thf(2914,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK7_SY91 @ SV4 ) )
                | ~ ~ ! [SY101: $i] :
                        ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY101 )
                            | ~ ~ ! [SY102: $i] :
                                    ~ ~ ( ~ ( cV___24t @ SY102 )
                                        | ~ ~ ! [SY103: $i] :
                                                ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY103 )
                                                    | ( SV4
                                                     != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ SY101 @ SY102 @ SY103 ) ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2912]) ).

thf(2915,plain,
    ! [SV5: $i,SV1: $i,SV9: $i,SV7: $i,SV13: $i,SV11: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                            | ( SV14 != SV15 ) )
                      | ( SV11 != SV13 ) )
                | ( SV7 != SV9 ) )
          | ( SV1 != SV5 ) )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2913]) ).

thf(2916,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK7_SY91 @ SV4 ) )
              | ~ ~ ! [SY101: $i] :
                      ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY101 )
                          | ~ ~ ! [SY102: $i] :
                                  ~ ~ ( ~ ( cV___24t @ SY102 )
                                      | ~ ~ ! [SY103: $i] :
                                              ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY103 )
                                                  | ( SV4
                                                   != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ SY101 @ SY102 @ SY103 ) ) ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2914]) ).

thf(2917,plain,
    ! [SV5: $i,SV1: $i,SV9: $i,SV7: $i,SV13: $i,SV11: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                            | ( SV14 != SV15 ) )
                      | ( SV11 != SV13 ) )
                | ( SV7 != SV9 ) ) )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2915]) ).

thf(2918,plain,
    ! [SV17: $i,SV15: $i,SV13: $i,SV9: $i,SV16: $i,SV14: $i,SV11: $i,SV7: $i,SV5: $i,SV1: $i] :
      ( ( ( SV1 != SV5 )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2915]) ).

thf(2919,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK7_SY91 @ SV4 ) )
          | ~ ~ ! [SY101: $i] :
                  ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY101 )
                      | ~ ~ ! [SY102: $i] :
                              ~ ~ ( ~ ( cV___24t @ SY102 )
                                  | ~ ~ ! [SY103: $i] :
                                          ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY103 )
                                              | ( SV4
                                               != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ SY101 @ SY102 @ SY103 ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2916]) ).

thf(2920,plain,
    ! [SV5: $i,SV1: $i,SV9: $i,SV7: $i,SV13: $i,SV11: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                          | ( SV14 != SV15 ) )
                    | ( SV11 != SV13 ) )
              | ( SV7 != SV9 ) ) )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2917]) ).

thf(2921,plain,
    ! [SV17: $i,SV15: $i,SV13: $i,SV9: $i,SV16: $i,SV14: $i,SV11: $i,SV7: $i,SV5: $i,SV1: $i] :
      ( ( ( SV1 = SV5 )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2918]) ).

thf(2922,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK7_SY91 @ SV4 ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2919]) ).

thf(2923,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ! [SY101: $i] :
                  ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY101 )
                      | ~ ~ ! [SY102: $i] :
                              ~ ~ ( ~ ( cV___24t @ SY102 )
                                  | ~ ~ ! [SY103: $i] :
                                          ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY103 )
                                              | ( SV4
                                               != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ SY101 @ SY102 @ SY103 ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2919]) ).

thf(2924,plain,
    ! [SV5: $i,SV1: $i,SV9: $i,SV7: $i,SV13: $i,SV11: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                      | ( SV14 != SV15 ) )
                | ( SV11 != SV13 ) )
          | ( SV7 != SV9 ) )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2920]) ).

thf(2925,plain,
    ! [SV4: $i] :
      ( ( ( cRedblack_2eTREES_2etree___24t @ ( sK7_SY91 @ SV4 ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2922]) ).

thf(2926,plain,
    ! [SV4: $i] :
      ( ( ( ~ ! [SY101: $i] :
                ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY101 )
                    | ~ ~ ! [SY102: $i] :
                            ~ ~ ( ~ ( cV___24t @ SY102 )
                                | ~ ~ ! [SY103: $i] :
                                        ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY103 )
                                            | ( SV4
                                             != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ SY101 @ SY102 @ SY103 ) ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2923]) ).

thf(2927,plain,
    ! [SV9: $i,SV5: $i,SV7: $i,SV1: $i,SV13: $i,SV11: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ( SV16 != SV17 )
                      | ( SV14 != SV15 ) )
                | ( SV11 != SV13 ) ) )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2924]) ).

thf(2928,plain,
    ! [SV17: $i,SV15: $i,SV13: $i,SV5: $i,SV16: $i,SV14: $i,SV11: $i,SV1: $i,SV9: $i,SV7: $i] :
      ( ( ( SV7 != SV9 )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2924]) ).

thf(2929,plain,
    ! [SV4: $i] :
      ( ( ( ! [SY101: $i] :
              ~ ~ ( ~ ( cRedblack_2ekey___24t @ SY101 )
                  | ~ ~ ! [SY102: $i] :
                          ~ ~ ( ~ ( cV___24t @ SY102 )
                              | ~ ~ ! [SY103: $i] :
                                      ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY103 )
                                          | ( SV4
                                           != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ SY101 @ SY102 @ SY103 ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2926]) ).

thf(2930,plain,
    ! [SV9: $i,SV5: $i,SV7: $i,SV1: $i,SV13: $i,SV11: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ( ~ ~ ( ( SV16 != SV17 )
                    | ( SV14 != SV15 ) )
              | ( SV11 != SV13 ) ) )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2927]) ).

thf(2931,plain,
    ! [SV17: $i,SV15: $i,SV13: $i,SV5: $i,SV16: $i,SV14: $i,SV11: $i,SV1: $i,SV9: $i,SV7: $i] :
      ( ( ( SV7 = SV9 )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2928]) ).

thf(2932,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( ~ ( cRedblack_2ekey___24t @ ( sK8_SY101 @ SV4 ) )
                | ~ ~ ! [SY104: $i] :
                        ~ ~ ( ~ ( cV___24t @ SY104 )
                            | ~ ~ ! [SY105: $i] :
                                    ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY105 )
                                        | ( SV4
                                         != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ SY104 @ SY105 ) ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2929]) ).

thf(2933,plain,
    ! [SV9: $i,SV5: $i,SV7: $i,SV1: $i,SV13: $i,SV11: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ~ ( ( SV16 != SV17 )
                | ( SV14 != SV15 ) )
          | ( SV11 != SV13 ) )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2930]) ).

thf(2934,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( cRedblack_2ekey___24t @ ( sK8_SY101 @ SV4 ) )
              | ~ ~ ! [SY104: $i] :
                      ~ ~ ( ~ ( cV___24t @ SY104 )
                          | ~ ~ ! [SY105: $i] :
                                  ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY105 )
                                      | ( SV4
                                       != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ SY104 @ SY105 ) ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2932]) ).

thf(2935,plain,
    ! [SV13: $i,SV9: $i,SV5: $i,SV11: $i,SV7: $i,SV1: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ~ ( ( SV16 != SV17 )
                | ( SV14 != SV15 ) ) )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2933]) ).

thf(2936,plain,
    ! [SV17: $i,SV15: $i,SV9: $i,SV5: $i,SV16: $i,SV14: $i,SV7: $i,SV1: $i,SV13: $i,SV11: $i] :
      ( ( ( SV11 != SV13 )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2933]) ).

thf(2937,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2ekey___24t @ ( sK8_SY101 @ SV4 ) )
          | ~ ~ ! [SY104: $i] :
                  ~ ~ ( ~ ( cV___24t @ SY104 )
                      | ~ ~ ! [SY105: $i] :
                              ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY105 )
                                  | ( SV4
                                   != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ SY104 @ SY105 ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2934]) ).

thf(2938,plain,
    ! [SV13: $i,SV9: $i,SV5: $i,SV11: $i,SV7: $i,SV1: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ~ ( ( SV16 != SV17 )
              | ( SV14 != SV15 ) ) )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2935]) ).

thf(2939,plain,
    ! [SV17: $i,SV15: $i,SV9: $i,SV5: $i,SV16: $i,SV14: $i,SV7: $i,SV1: $i,SV13: $i,SV11: $i] :
      ( ( ( SV11 = SV13 )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2936]) ).

thf(2940,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2ekey___24t @ ( sK8_SY101 @ SV4 ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2937]) ).

thf(2941,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ! [SY104: $i] :
                  ~ ~ ( ~ ( cV___24t @ SY104 )
                      | ~ ~ ! [SY105: $i] :
                              ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY105 )
                                  | ( SV4
                                   != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ SY104 @ SY105 ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2937]) ).

thf(2942,plain,
    ! [SV13: $i,SV9: $i,SV5: $i,SV11: $i,SV7: $i,SV1: $i,SV15: $i,SV14: $i,SV17: $i,SV16: $i] :
      ( ( ( ( SV16 != SV17 )
          | ( SV14 != SV15 ) )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2938]) ).

thf(2943,plain,
    ! [SV4: $i] :
      ( ( ( cRedblack_2ekey___24t @ ( sK8_SY101 @ SV4 ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2940]) ).

thf(2944,plain,
    ! [SV4: $i] :
      ( ( ( ~ ! [SY104: $i] :
                ~ ~ ( ~ ( cV___24t @ SY104 )
                    | ~ ~ ! [SY105: $i] :
                            ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY105 )
                                | ( SV4
                                 != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ SY104 @ SY105 ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2941]) ).

thf(2945,plain,
    ! [SV15: $i,SV13: $i,SV9: $i,SV5: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i,SV17: $i,SV16: $i] :
      ( ( ( SV16 != SV17 )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2942]) ).

thf(2946,plain,
    ! [SV17: $i,SV13: $i,SV9: $i,SV5: $i,SV16: $i,SV11: $i,SV7: $i,SV1: $i,SV15: $i,SV14: $i] :
      ( ( ( SV14 != SV15 )
        = $false )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2942]) ).

thf(2947,plain,
    ! [SV4: $i] :
      ( ( ( ! [SY104: $i] :
              ~ ~ ( ~ ( cV___24t @ SY104 )
                  | ~ ~ ! [SY105: $i] :
                          ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY105 )
                              | ( SV4
                               != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ SY104 @ SY105 ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2944]) ).

thf(2948,plain,
    ! [SV15: $i,SV13: $i,SV9: $i,SV5: $i,SV14: $i,SV11: $i,SV7: $i,SV1: $i,SV17: $i,SV16: $i] :
      ( ( ( SV16 = SV17 )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2945]) ).

thf(2949,plain,
    ! [SV17: $i,SV13: $i,SV9: $i,SV5: $i,SV16: $i,SV11: $i,SV7: $i,SV1: $i,SV15: $i,SV14: $i] :
      ( ( ( SV14 = SV15 )
        = $true )
      | ( ( ( cRedblack_2eTREES_2eT___24a5 @ SV1 @ SV7 @ SV11 @ SV14 @ SV16 )
          = ( cRedblack_2eTREES_2eT___24a5 @ SV5 @ SV9 @ SV13 @ SV15 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2946]) ).

thf(2950,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( ~ ( cV___24t @ ( sK9_SY104 @ SV4 ) )
                | ~ ~ ! [SY106: $i] :
                        ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY106 )
                            | ( SV4
                             != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ SY106 ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2947]) ).

thf(2951,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( cV___24t @ ( sK9_SY104 @ SV4 ) )
              | ~ ~ ! [SY106: $i] :
                      ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY106 )
                          | ( SV4
                           != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ SY106 ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2950]) ).

thf(2952,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cV___24t @ ( sK9_SY104 @ SV4 ) )
          | ~ ~ ! [SY106: $i] :
                  ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY106 )
                      | ( SV4
                       != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ SY106 ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2951]) ).

thf(2953,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cV___24t @ ( sK9_SY104 @ SV4 ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2952]) ).

thf(2954,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ! [SY106: $i] :
                  ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY106 )
                      | ( SV4
                       != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ SY106 ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2952]) ).

thf(2955,plain,
    ! [SV4: $i] :
      ( ( ( cV___24t @ ( sK9_SY104 @ SV4 ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2953]) ).

thf(2956,plain,
    ! [SV4: $i] :
      ( ( ( ~ ! [SY106: $i] :
                ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY106 )
                    | ( SV4
                     != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ SY106 ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2954]) ).

thf(2957,plain,
    ! [SV4: $i] :
      ( ( ( ! [SY106: $i] :
              ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ SY106 )
                  | ( SV4
                   != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ SY106 ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2956]) ).

thf(2958,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK10_SY106 @ SV4 ) )
                | ( SV4
                 != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ ( sK10_SY106 @ SV4 ) ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2957]) ).

thf(2959,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK10_SY106 @ SV4 ) )
              | ( SV4
               != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ ( sK10_SY106 @ SV4 ) ) ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2958]) ).

thf(2960,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK10_SY106 @ SV4 ) )
          | ( SV4
           != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ ( sK10_SY106 @ SV4 ) ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2959]) ).

thf(2961,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cRedblack_2eTREES_2etree___24t @ ( sK10_SY106 @ SV4 ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2960]) ).

thf(2962,plain,
    ! [SV4: $i] :
      ( ( ( SV4
         != ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ ( sK10_SY106 @ SV4 ) ) )
        = $false )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2960]) ).

thf(2963,plain,
    ! [SV4: $i] :
      ( ( ( cRedblack_2eTREES_2etree___24t @ ( sK10_SY106 @ SV4 ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2961]) ).

thf(2964,plain,
    ! [SV4: $i] :
      ( ( ( SV4
          = ( cRedblack_2eTREES_2eT___24a5 @ ( sK5_SY44 @ SV4 ) @ ( sK7_SY91 @ SV4 ) @ ( sK8_SY101 @ SV4 ) @ ( sK9_SY104 @ SV4 ) @ ( sK10_SY106 @ SV4 ) ) )
        = $true )
      | ( ( SV4 = cRedblack_2eTREES_2eE )
        = $true )
      | ( ( cRedblack_2eTREES_2etree___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2962]) ).

thf(2965,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[2838,2964,2963,2955,2949,2948,2943,2939,2931,2925,2921,2909,2908,2907,2898,2890,2889,2888,2887,2876,2848,2847,2846,2845,2844,2843]) ).

thf(2966,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[2965]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEV668+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.19  % Computer : n002.cluster.edu
% 0.11/0.19  % Model    : x86_64 x86_64
% 0.11/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19  % Memory   : 8046.5625MB
% 0.11/0.19  % OS       : Linux 6.8.0-71-generic
% 0.11/0.19  % CPULimit : 300
% 0.11/0.19  % WCLimit  : 300
% 0.11/0.19  % DateTime : Tue Oct  6 15:53:12 UTC 2026
% 0.11/0.20  % CPUTime  : 
% 0.11/0.20  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.64/12.49  ........................
% 60.64/12.49  
% 60.64/12.49   No.of.Axioms: 10
% 60.64/12.49  
% 60.64/12.49   Length.of.Defs: 0
% 60.64/12.49  
% 60.64/12.49   Contains.Choice.Funs: false
% 60.64/12.49  ................................
% 60.64/12.49  
% 60.64/12.49  ********************************
% 60.64/12.49  *   All subproblems solved!    *
% 60.64/12.49  ********************************
% 60.64/12.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:11,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:294,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2965,loop_count:0,foatp_calls:1,translation:fof_full)
% 60.64/12.49  
% 60.64/12.49  %**** Beginning of derivation protocol ****
% 60.64/12.49  % SZS output start CNFRefutation
% See solution above
% 12.39/12.51  
% 12.39/12.51  %**** End of derivation protocol ****
% 12.39/12.51  %**** no. of clauses in derivation: 156 ****
% 12.39/12.51  %**** clause counter: 2965 ****
% 12.39/12.51  
% 12.39/12.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:11,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:294,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2965,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------