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

%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV672+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 10:50:29 AM UTC 2026

% Result   : Theorem 41.28s 8.55s
% Output   : CNFRefutation 41.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  122 (  70 unt;   0 typ;   0 def)
%            Number of atoms       :  655 ( 402 equ;   0 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives : 1165 ( 273   ~; 156   |;  18   &; 703   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 2516 (2513 usr;1251 con; 0-23 aty)
%            Number of variables   :  354 (   0   ^; 348   !;   6   ?; 354   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_cCoq_2eArith_2eBetween_2eP__nth,type,
    cCoq_2eArith_2eBetween_2eP__nth: $i ).

thf(tp_cCoq_2eArith_2eBetween_2eP__nth___24a5,type,
    cCoq_2eArith_2eBetween_2eP__nth___24a5: $i > $i > $i > $i > $i > $o ).

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_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_2eEven_2eeven,type,
    cCoq_2eArith_2eEven_2eeven: $i ).

thf(tp_cCoq_2eArith_2eEven_2eeven___24a1,type,
    cCoq_2eArith_2eEven_2eeven___24a1: $i > $o ).

thf(tp_cCoq_2eArith_2eEven_2eodd,type,
    cCoq_2eArith_2eEven_2eodd: $i ).

thf(tp_cCoq_2eArith_2eEven_2eodd___24a1,type,
    cCoq_2eArith_2eEven_2eodd___24a1: $i > $o ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eadd,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eadd: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eadd___24a2,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eadd___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,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eeq: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eeqf,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eeqf: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eeqf___24a2,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eeqf___24a2: $i > $i > $o ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2ele,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2ele: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2elog2__iter,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2elog2__iter: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2elog2__iter___24a4,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2elog2__iter___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2elt,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2elt: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2emax,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2emax: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2emax___24a2,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2emax___24a2: $i > $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2epred,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2epred: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2epred___24a1,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2epred___24a1: $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2erecursion,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2erecursion: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2erecursion___24a1,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2erecursion___24a1: $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2esub,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2esub: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2esub___24a2,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2esub___24a2: $i > $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2esucc,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2esucc: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2et,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2et: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2et___24t,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2et___24t: $i > $o ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2etail__add,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2etail__add: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2etail__add___24a2,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2etail__add___24a2: $i > $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2ezero,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2ezero: $i ).

thf(tp_cCoq_2eArith_2ePlus_2etail__plus,type,
    cCoq_2eArith_2ePlus_2etail__plus: $i ).

thf(tp_cCoq_2eArith_2ePlus_2etail__plus___24a2,type,
    cCoq_2eArith_2ePlus_2etail__plus___24a2: $i > $i > $i ).

thf(tp_cCoq_2eArith_2eWf__nat_2eltof,type,
    cCoq_2eArith_2eWf__nat_2eltof: $i ).

thf(tp_cCoq_2eArith_2eWf__nat_2eltof___24a4,type,
    cCoq_2eArith_2eWf__nat_2eltof___24a4: $i > $i > $i > $i > $o ).

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_2eifb,type,
    cCoq_2eBool_2eBool_2eifb: $i ).

thf(tp_cCoq_2eBool_2eBool_2eifb___24a3,type,
    cCoq_2eBool_2eBool_2eifb___24a3: $i > $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_2eBvector_2eBvector,type,
    cCoq_2eBool_2eBvector_2eBvector: $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_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2ebits__lt,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2ebits__lt: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2ebits__lt___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2ebits__lt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2eeq,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2eeq: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2elt,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2elt: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2et,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2et: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2et___24t,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2et___24t: $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 > $o ).

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_2ect,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2ect: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2ect___24a3,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2ect___24a3: $i > $i > $i > $o ).

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_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_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_2ebyte__of__byte,type,
    cCoq_2eInit_2eByte_2ebyte__of__byte: $i ).

thf(tp_cCoq_2eInit_2eByte_2ebyte__of__byte___24a1,type,
    cCoq_2eInit_2eByte_2ebyte__of__byte___24a1: $i > $i ).

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_2eCompEqT,type,
    cCoq_2eInit_2eDatatypes_2eCompEqT: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompEqT___24a3,type,
    cCoq_2eInit_2eDatatypes_2eCompEqT___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompGtT,type,
    cCoq_2eInit_2eDatatypes_2eCompGtT: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompGtT___24a3,type,
    cCoq_2eInit_2eDatatypes_2eCompGtT___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompLtT,type,
    cCoq_2eInit_2eDatatypes_2eCompLtT: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompLtT___24a3,type,
    cCoq_2eInit_2eDatatypes_2eCompLtT___24a3: $i > $i > $i > $i ).

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_2eCompareSpecT,type,
    cCoq_2eInit_2eDatatypes_2eCompareSpecT: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompareSpecT___24a4,type,
    cCoq_2eInit_2eDatatypes_2eCompareSpecT___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompareSpecT___24t,type,
    cCoq_2eInit_2eDatatypes_2eCompareSpecT___24t: $i > $i > $i > $i > $i > $o ).

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

thf(tp_cCoq_2eInit_2eDatatypes_2eEmpty__set,type,
    cCoq_2eInit_2eDatatypes_2eEmpty__set: $i ).

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_2eID,type,
    cCoq_2eInit_2eDatatypes_2eID: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eIDProp,type,
    cCoq_2eInit_2eDatatypes_2eIDProp: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eID___24t,type,
    cCoq_2eInit_2eDatatypes_2eID___24t: $i > $o ).

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_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_2eeq__true,type,
    cCoq_2eInit_2eDatatypes_2eeq__true: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eeq__true___24a1,type,
    cCoq_2eInit_2eDatatypes_2eeq__true___24a1: $i > $o ).

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_2eid,type,
    cCoq_2eInit_2eDatatypes_2eid: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eid___24a2,type,
    cCoq_2eInit_2eDatatypes_2eid___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eidentity,type,
    cCoq_2eInit_2eDatatypes_2eidentity: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eidentity___24a3,type,
    cCoq_2eInit_2eDatatypes_2eidentity___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eInit_2eDatatypes_2eimplb,type,
    cCoq_2eInit_2eDatatypes_2eimplb: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eimplb___24a2,type,
    cCoq_2eInit_2eDatatypes_2eimplb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2einl,type,
    cCoq_2eInit_2eDatatypes_2einl: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2einl___24a3,type,
    cCoq_2eInit_2eDatatypes_2einl___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2einr,type,
    cCoq_2eInit_2eDatatypes_2einr: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2einr___24a3,type,
    cCoq_2eInit_2eDatatypes_2einr___24a3: $i > $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_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__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___24a4,type,
    cCoq_2eInit_2eDatatypes_2enat__rect___24a4: $i > $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_2esum,type,
    cCoq_2eInit_2eDatatypes_2esum: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2esum___24a2,type,
    cCoq_2eInit_2eDatatypes_2esum___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2esum___24t,type,
    cCoq_2eInit_2eDatatypes_2esum___24t: $i > $i > $i > $o ).

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_2eDatatypes_2exorb,type,
    cCoq_2eInit_2eDatatypes_2exorb: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2exorb___24a2,type,
    cCoq_2eInit_2eDatatypes_2exorb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD0,type,
    cCoq_2eInit_2eDecimal_2eD0: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD0___24a1,type,
    cCoq_2eInit_2eDecimal_2eD0___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD1,type,
    cCoq_2eInit_2eDecimal_2eD1: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD1___24a1,type,
    cCoq_2eInit_2eDecimal_2eD1___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD2,type,
    cCoq_2eInit_2eDecimal_2eD2: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD2___24a1,type,
    cCoq_2eInit_2eDecimal_2eD2___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD3,type,
    cCoq_2eInit_2eDecimal_2eD3: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD3___24a1,type,
    cCoq_2eInit_2eDecimal_2eD3___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD4,type,
    cCoq_2eInit_2eDecimal_2eD4: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD4___24a1,type,
    cCoq_2eInit_2eDecimal_2eD4___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD5,type,
    cCoq_2eInit_2eDecimal_2eD5: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD5___24a1,type,
    cCoq_2eInit_2eDecimal_2eD5___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD6,type,
    cCoq_2eInit_2eDecimal_2eD6: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD6___24a1,type,
    cCoq_2eInit_2eDecimal_2eD6___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD7,type,
    cCoq_2eInit_2eDecimal_2eD7: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD7___24a1,type,
    cCoq_2eInit_2eDecimal_2eD7___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD8,type,
    cCoq_2eInit_2eDecimal_2eD8: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD8___24a1,type,
    cCoq_2eInit_2eDecimal_2eD8___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD9,type,
    cCoq_2eInit_2eDecimal_2eD9: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eD9___24a1,type,
    cCoq_2eInit_2eDecimal_2eD9___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eDecimal,type,
    cCoq_2eInit_2eDecimal_2eDecimal: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eDecimalExp,type,
    cCoq_2eInit_2eDecimal_2eDecimalExp: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eDecimalExp___24a3,type,
    cCoq_2eInit_2eDecimal_2eDecimalExp___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eDecimal___24a2,type,
    cCoq_2eInit_2eDecimal_2eDecimal___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eNeg,type,
    cCoq_2eInit_2eDecimal_2eNeg: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eNeg___24a1,type,
    cCoq_2eInit_2eDecimal_2eNeg___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eNil,type,
    cCoq_2eInit_2eDecimal_2eNil: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2ePos,type,
    cCoq_2eInit_2eDecimal_2ePos: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2ePos___24a1,type,
    cCoq_2eInit_2eDecimal_2ePos___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2edecimal,type,
    cCoq_2eInit_2eDecimal_2edecimal: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2edecimal___24t,type,
    cCoq_2eInit_2eDecimal_2edecimal___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eDecimal_2eint,type,
    cCoq_2eInit_2eDecimal_2eint: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eint___24t,type,
    cCoq_2eInit_2eDecimal_2eint___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eDecimal_2eint__of__int,type,
    cCoq_2eInit_2eDecimal_2eint__of__int: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2eint__of__int___24a1,type,
    cCoq_2eInit_2eDecimal_2eint__of__int___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2enzhead,type,
    cCoq_2eInit_2eDecimal_2enzhead: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2enzhead___24a1,type,
    cCoq_2eInit_2eDecimal_2enzhead___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2euint,type,
    cCoq_2eInit_2eDecimal_2euint: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2euint___24t,type,
    cCoq_2eInit_2eDecimal_2euint___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eDecimal_2euint__of__uint,type,
    cCoq_2eInit_2eDecimal_2euint__of__uint: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2euint__of__uint___24a1,type,
    cCoq_2eInit_2eDecimal_2euint__of__uint___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eLogic_2eFalse__rec,type,
    cCoq_2eInit_2eLogic_2eFalse__rec: $i ).

thf(tp_cCoq_2eInit_2eLogic_2eeq__rect,type,
    cCoq_2eInit_2eLogic_2eeq__rect: $i ).

thf(tp_cCoq_2eInit_2eLogic_2eeq__rect___24a5,type,
    cCoq_2eInit_2eLogic_2eeq__rect___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eLogic__Type_2enotT,type,
    cCoq_2eInit_2eLogic__Type_2enotT: $i ).

thf(tp_cCoq_2eInit_2eLogic__Type_2enotT___24a1,type,
    cCoq_2eInit_2eLogic__Type_2enotT___24a1: $i > $o ).

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_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_2edouble,type,
    cCoq_2eInit_2eNat_2edouble: $i ).

thf(tp_cCoq_2eInit_2eNat_2edouble___24a1,type,
    cCoq_2eInit_2eNat_2edouble___24a1: $i > $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_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_2elog2__iter,type,
    cCoq_2eInit_2eNat_2elog2__iter: $i ).

thf(tp_cCoq_2eInit_2eNat_2elog2__iter___24a4,type,
    cCoq_2eInit_2eNat_2elog2__iter___24a4: $i > $i > $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_2emin,type,
    cCoq_2eInit_2eNat_2emin: $i ).

thf(tp_cCoq_2eInit_2eNat_2emin___24a2,type,
    cCoq_2eInit_2eNat_2emin___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_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_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_2esucc,type,
    cCoq_2eInit_2eNat_2esucc: $i ).

thf(tp_cCoq_2eInit_2eNat_2et,type,
    cCoq_2eInit_2eNat_2et: $i ).

thf(tp_cCoq_2eInit_2eNat_2et___24t,type,
    cCoq_2eInit_2eNat_2et___24t: $i > $o ).

thf(tp_cCoq_2eInit_2eNat_2etail__add,type,
    cCoq_2eInit_2eNat_2etail__add: $i ).

thf(tp_cCoq_2eInit_2eNat_2etail__add___24a2,type,
    cCoq_2eInit_2eNat_2etail__add___24a2: $i > $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2ezero,type,
    cCoq_2eInit_2eNat_2ezero: $i ).

thf(tp_cCoq_2eInit_2ePeano_2eIsSucc,type,
    cCoq_2eInit_2ePeano_2eIsSucc: $i ).

thf(tp_cCoq_2eInit_2ePeano_2eIsSucc___24a1,type,
    cCoq_2eInit_2ePeano_2eIsSucc___24a1: $i > $o ).

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_2eExc,type,
    cCoq_2eInit_2eSpecif_2eExc: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eExc___24a1,type,
    cCoq_2eInit_2eSpecif_2eExc___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eexcept,type,
    cCoq_2eInit_2eSpecif_2eexcept: $i ).

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

thf(tp_cCoq_2eInit_2eSpecif_2eexist2,type,
    cCoq_2eInit_2eSpecif_2eexist2: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eexist2___24a4,type,
    cCoq_2eInit_2eSpecif_2eexist2___24a4: $i > $i > $i > $i > $i ).

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

thf(tp_cCoq_2eInit_2eSpecif_2eexistT2,type,
    cCoq_2eInit_2eSpecif_2eexistT2: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eexistT2___24a6,type,
    cCoq_2eInit_2eSpecif_2eexistT2___24a6: $i > $i > $i > $i > $i > $i > $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_2eproj1__sig,type,
    cCoq_2eInit_2eSpecif_2eproj1__sig: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eproj1__sig___24a3,type,
    cCoq_2eInit_2eSpecif_2eproj1__sig___24a3: $i > $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_2esig2,type,
    cCoq_2eInit_2eSpecif_2esig2: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esig2___24a3,type,
    cCoq_2eInit_2eSpecif_2esig2___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esig2___24t,type,
    cCoq_2eInit_2eSpecif_2esig2___24t: $i > $i > $i > $i > $o ).

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

thf(tp_cCoq_2eInit_2eSpecif_2esigT2,type,
    cCoq_2eInit_2eSpecif_2esigT2: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esigT2___24a3,type,
    cCoq_2eInit_2eSpecif_2esigT2___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2esigT2___24t,type,
    cCoq_2eInit_2eSpecif_2esigT2___24t: $i > $i > $i > $i > $o ).

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_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_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_2eForall2,type,
    cCoq_2eLists_2eList_2eForall2: $i ).

thf(tp_cCoq_2eLists_2eList_2eForall2___24a5,type,
    cCoq_2eLists_2eList_2eForall2___24a5: $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eList_2eForallOrdPairs,type,
    cCoq_2eLists_2eList_2eForallOrdPairs: $i ).

thf(tp_cCoq_2eLists_2eList_2eForallOrdPairs___24a3,type,
    cCoq_2eLists_2eList_2eForallOrdPairs___24a3: $i > $i > $i > $o ).

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 > $o ).

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_2efold__left,type,
    cCoq_2eLists_2eList_2efold__left: $i ).

thf(tp_cCoq_2eLists_2eList_2efold__left___24a5,type,
    cCoq_2eLists_2eList_2efold__left___24a5: $i > $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,type,
    cCoq_2eLists_2eList_2ehd: $i ).

thf(tp_cCoq_2eLists_2eList_2ehd___24a3,type,
    cCoq_2eLists_2eList_2ehd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2enth,type,
    cCoq_2eLists_2eList_2enth: $i ).

thf(tp_cCoq_2eLists_2eList_2enth___24a4,type,
    cCoq_2eLists_2eList_2enth___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_2eeqlistA,type,
    cCoq_2eLists_2eSetoidList_2eeqlistA: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2eeqlistA___24a4,type,
    cCoq_2eLists_2eSetoidList_2eeqlistA___24a4: $i > $i > $i > $i > $o ).

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

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose2,type,
    cCoq_2eLists_2eSetoidList_2etranspose2: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose2___24a4,type,
    cCoq_2eLists_2eSetoidList_2etranspose2___24a4: $i > $i > $i > $i > $o ).

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

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose__restr,type,
    cCoq_2eLists_2eSetoidList_2etranspose__restr: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose__restr2,type,
    cCoq_2eLists_2eSetoidList_2etranspose__restr2: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose__restr2___24a5,type,
    cCoq_2eLists_2eSetoidList_2etranspose__restr2___24a5: $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eSetoidList_2etranspose__restr___24a5,type,
    cCoq_2eLists_2eSetoidList_2etranspose__restr___24a5: $i > $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_2eUIP__on__,type,
    cCoq_2eLogic_2eEqdepFacts_2eUIP__on__: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eUIP__on_____24a3,type,
    cCoq_2eLogic_2eEqdepFacts_2eUIP__on_____24a3: $i > $i > $i > $o ).

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

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eeq__dep1,type,
    cCoq_2eLogic_2eEqdepFacts_2eeq__dep1: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eeq__dep1___24a6,type,
    cCoq_2eLogic_2eEqdepFacts_2eeq__dep1___24a6: $i > $i > $i > $i > $i > $i > $o ).

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_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_2ediv2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv2: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ediv2___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv2___24a1: $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_2emax,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emax: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emax___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emax___24a2: $i > $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emin,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emin: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emin___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emin___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_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_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_2et,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2et: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2et___24t,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2et___24t: $i > $o ).

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_2eBinNatDef_2eN_2ezero,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ezero: $i ).

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

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eeqf,type,
    cCoq_2eNArith_2eBinNat_2eN_2eeqf: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eeqf___24a2,type,
    cCoq_2eNArith_2eBinNat_2eN_2eeqf___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_2eBinNat_2eN_2epeano__rect,type,
    cCoq_2eNArith_2eBinNat_2eN_2epeano__rect: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2epeano__rect___24a1,type,
    cCoq_2eNArith_2eBinNat_2eN_2epeano__rect___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2erecursion,type,
    cCoq_2eNArith_2eBinNat_2eN_2erecursion: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2erecursion___24a1,type,
    cCoq_2eNArith_2eBinNat_2eN_2erecursion___24a1: $i > $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2et,type,
    cCoq_2eNArith_2eBinNat_2eN_2et: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2et___24t,type,
    cCoq_2eNArith_2eBinNat_2eN_2et___24t: $i > $o ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ezero,type,
    cCoq_2eNArith_2eBinNat_2eN_2ezero: $i ).

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_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_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_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_2ediv2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2___24a1: $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_2eiter,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eiter: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter___24a4,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eiter___24a4: $i > $i > $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_2emask,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emask: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emask___24t,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emask___24t: $i > $o ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emax,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emax: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emax___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emax___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emin,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emin: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emin___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emin___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__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_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_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_2et,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2et: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2et___24t,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2et___24t: $i > $o ).

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_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_2eIsNeg,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eIsNeg: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eIsNul,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eIsNul: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eIsPos,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eIsPos: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eIsPos___24a1,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eIsPos___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ePeanoOne,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ePeanoOne: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ePeanoSucc,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ePeanoSucc: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ePeanoSucc___24a2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ePeanoSucc___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ePeanoView,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ePeanoView: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ePeanoView___24a1,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ePeanoView___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ePeanoView___24t,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ePeanoView___24t: $i > $i > $o ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eSubMaskSpec,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eSubMaskSpec: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eSubMaskSpec___24a3,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eSubMaskSpec___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ediv2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ediv2: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ediv2___24a1,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ediv2___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eeq,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eeq: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eiter,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eiter: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eiter___24a4,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eiter___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eiter__op,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eiter__op: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eiter__op___24a4,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eiter__op___24a4: $i > $i > $i > $i > $i ).

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_2emask,type,
    cCoq_2ePArith_2eBinPos_2ePos_2emask: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2emask___24t,type,
    cCoq_2ePArith_2eBinPos_2ePos_2emask___24t: $i > $o ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2et,type,
    cCoq_2ePArith_2eBinPos_2ePos_2et: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2et___24t,type,
    cCoq_2ePArith_2eBinPos_2ePos_2et___24t: $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_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_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_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_2emknegreal,type,
    cCoq_2eReals_2eRIneq_2emknegreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emknegreal___24a1,type,
    cCoq_2eReals_2eRIneq_2emknegreal___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emknonnegreal,type,
    cCoq_2eReals_2eRIneq_2emknonnegreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emknonnegreal___24a1,type,
    cCoq_2eReals_2eRIneq_2emknonnegreal___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emknonposreal,type,
    cCoq_2eReals_2eRIneq_2emknonposreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emknonposreal___24a1,type,
    cCoq_2eReals_2eRIneq_2emknonposreal___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_2emkposreal,type,
    cCoq_2eReals_2eRIneq_2emkposreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2emkposreal___24a1,type,
    cCoq_2eReals_2eRIneq_2emkposreal___24a1: $i > $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enegreal,type,
    cCoq_2eReals_2eRIneq_2enegreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enegreal___24t,type,
    cCoq_2eReals_2eRIneq_2enegreal___24t: $i > $o ).

thf(tp_cCoq_2eReals_2eRIneq_2enonnegreal,type,
    cCoq_2eReals_2eRIneq_2enonnegreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enonnegreal___24t,type,
    cCoq_2eReals_2eRIneq_2enonnegreal___24t: $i > $o ).

thf(tp_cCoq_2eReals_2eRIneq_2enonposreal,type,
    cCoq_2eReals_2eRIneq_2enonposreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2enonposreal___24t,type,
    cCoq_2eReals_2eRIneq_2enonposreal___24t: $i > $o ).

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_2eRIneq_2eposreal,type,
    cCoq_2eReals_2eRIneq_2eposreal: $i ).

thf(tp_cCoq_2eReals_2eRIneq_2eposreal___24t,type,
    cCoq_2eReals_2eRIneq_2eposreal___24t: $i > $o ).

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_2eRgt,type,
    cCoq_2eReals_2eRdefinitions_2eRgt: $i ).

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

thf(tp_cCoq_2eReals_2eRdefinitions_2eRinv,type,
    cCoq_2eReals_2eRdefinitions_2eRinv: $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 > $o ).

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 > $o ).

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_2eRplus,type,
    cCoq_2eReals_2eRdefinitions_2eRplus: $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_2eRelations_2eRelation__Definitions_2ePER,type,
    cCoq_2eRelations_2eRelation__Definitions_2ePER: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2ePER___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2ePER___24a2: $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2eantisymmetric,type,
    cCoq_2eRelations_2eRelation__Definitions_2eantisymmetric: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2eantisymmetric___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2eantisymmetric___24a2: $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2eequivalence,type,
    cCoq_2eRelations_2eRelation__Definitions_2eequivalence: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2eequivalence___24a2: $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2eorder,type,
    cCoq_2eRelations_2eRelation__Definitions_2eorder: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2eorder___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2eorder___24a2: $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2epreorder,type,
    cCoq_2eRelations_2eRelation__Definitions_2epreorder: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2epreorder___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2epreorder___24a2: $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2ereflexive,type,
    cCoq_2eRelations_2eRelation__Definitions_2ereflexive: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2ereflexive___24a2: $i > $i > $o ).

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_2eRelations_2eRelation__Definitions_2esymmetric,type,
    cCoq_2eRelations_2eRelation__Definitions_2esymmetric: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2esymmetric___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2esymmetric___24a2: $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2etransitive,type,
    cCoq_2eRelations_2eRelation__Definitions_2etransitive: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Definitions_2etransitive___24a2,type,
    cCoq_2eRelations_2eRelation__Definitions_2etransitive___24a2: $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eDesc,type,
    cCoq_2eRelations_2eRelation__Operators_2eDesc: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eDesc___24a3,type,
    cCoq_2eRelations_2eRelation__Operators_2eDesc___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eLtl,type,
    cCoq_2eRelations_2eRelation__Operators_2eLtl: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eLtl___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eLtl___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__1n,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__1n: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__1n___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__1n___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__n1,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__n1: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__n1___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__sym__trans__n1___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__1n,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__1n: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__1n___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__1n___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__n1,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__n1: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__n1___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__refl__trans__n1___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__trans,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__trans: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__trans__1n,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__trans__1n: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__trans__1n___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__trans__1n___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__trans___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__trans___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__trans__n1,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__trans__n1: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eclos__trans__n1___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eclos__trans__n1___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2elexprod,type,
    cCoq_2eRelations_2eRelation__Operators_2elexprod: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2elexprod___24a6,type,
    cCoq_2eRelations_2eRelation__Operators_2elexprod___24a6: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eswapprod,type,
    cCoq_2eRelations_2eRelation__Operators_2eswapprod: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2eswapprod___24a4,type,
    cCoq_2eRelations_2eRelation__Operators_2eswapprod___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2esymprod,type,
    cCoq_2eRelations_2eRelation__Operators_2esymprod: $i ).

thf(tp_cCoq_2eRelations_2eRelation__Operators_2esymprod___24a6,type,
    cCoq_2eRelations_2eRelation__Operators_2esymprod___24a6: $i > $i > $i > $i > $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_2eSets_2eRelations__1_2eRelation,type,
    cCoq_2eSets_2eRelations__1_2eRelation: $i ).

thf(tp_cCoq_2eSets_2eRelations__1_2eRelation___24a1,type,
    cCoq_2eSets_2eRelations__1_2eRelation___24a1: $i > $i ).

thf(tp_cCoq_2eSorting_2eSorted_2eHdRel,type,
    cCoq_2eSorting_2eSorted_2eHdRel: $i ).

thf(tp_cCoq_2eSorting_2eSorted_2eHdRel___24a4,type,
    cCoq_2eSorting_2eSorted_2eHdRel___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eSorting_2eSorted_2eLocallySorted,type,
    cCoq_2eSorting_2eSorted_2eLocallySorted: $i ).

thf(tp_cCoq_2eSorting_2eSorted_2eLocallySorted___24a3,type,
    cCoq_2eSorting_2eSorted_2eLocallySorted___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eSorting_2eSorted_2eSorted,type,
    cCoq_2eSorting_2eSorted_2eSorted: $i ).

thf(tp_cCoq_2eSorting_2eSorted_2eSorted___24a3,type,
    cCoq_2eSorting_2eSorted_2eSorted___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eSorting_2eSorted_2eStronglySorted,type,
    cCoq_2eSorting_2eSorted_2eStronglySorted: $i ).

thf(tp_cCoq_2eSorting_2eSorted_2eStronglySorted___24a3,type,
    cCoq_2eSorting_2eSorted_2eStronglySorted___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_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_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_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_2eStructures_2eDecidableTypeEx_2eN__as__DT_2eeq,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eN__as__DT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eN__as__DT_2elt,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eN__as__DT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eN__as__DT_2et,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eN__as__DT_2et: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eN__as__DT_2et___24t,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eN__as__DT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2eeq,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2elt,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2et,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2et: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2et___24t,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eNat__as__DT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2eeq,type,
    cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2elt,type,
    cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2et,type,
    cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2et: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2et___24t,type,
    cCoq_2eStructures_2eDecidableTypeEx_2ePositive__as__DT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2eeq,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2elt,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2elt___24a2,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2elt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2et,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2et: $i ).

thf(tp_cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2et___24t,type,
    cCoq_2eStructures_2eDecidableTypeEx_2eZ__as__DT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eGenericMinMax_2egmax,type,
    cCoq_2eStructures_2eGenericMinMax_2egmax: $i ).

thf(tp_cCoq_2eStructures_2eGenericMinMax_2egmax___24a4,type,
    cCoq_2eStructures_2eGenericMinMax_2egmax___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eGenericMinMax_2egmin,type,
    cCoq_2eStructures_2eGenericMinMax_2egmin: $i ).

thf(tp_cCoq_2eStructures_2eGenericMinMax_2egmin___24a4,type,
    cCoq_2eStructures_2eGenericMinMax_2egmin___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eN__as__OT_2et___24t: $i > $o ).

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_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_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_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_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,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2elt___24a2,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2elt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eCompare,type,
    cCoq_2eStructures_2eOrderedType_2eCompare: $i ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eCompare___24a5,type,
    cCoq_2eStructures_2eOrderedType_2eCompare___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eCompare___24t,type,
    cCoq_2eStructures_2eOrderedType_2eCompare___24t: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eEQ,type,
    cCoq_2eStructures_2eOrderedType_2eEQ: $i ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eEQ___24a5,type,
    cCoq_2eStructures_2eOrderedType_2eEQ___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eGT,type,
    cCoq_2eStructures_2eOrderedType_2eGT: $i ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eGT___24a5,type,
    cCoq_2eStructures_2eOrderedType_2eGT___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eLT,type,
    cCoq_2eStructures_2eOrderedType_2eLT: $i ).

thf(tp_cCoq_2eStructures_2eOrderedType_2eLT___24a5,type,
    cCoq_2eStructures_2eOrderedType_2eLT___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eStructures_2eOrdersTac_2eOEQ,type,
    cCoq_2eStructures_2eOrdersTac_2eOEQ: $i ).

thf(tp_cCoq_2eStructures_2eOrdersTac_2eOLE,type,
    cCoq_2eStructures_2eOrdersTac_2eOLE: $i ).

thf(tp_cCoq_2eStructures_2eOrdersTac_2eOLT,type,
    cCoq_2eStructures_2eOrdersTac_2eOLT: $i ).

thf(tp_cCoq_2eStructures_2eOrdersTac_2eord,type,
    cCoq_2eStructures_2eOrdersTac_2eord: $i ).

thf(tp_cCoq_2eStructures_2eOrdersTac_2eord___24t,type,
    cCoq_2eStructures_2eOrdersTac_2eord___24t: $i > $o ).

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_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_2eForall,type,
    cCoq_2eVectors_2eVectorDef_2eForall: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2eForall2,type,
    cCoq_2eVectors_2eVectorDef_2eForall2: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2eForall2___24a6,type,
    cCoq_2eVectors_2eVectorDef_2eForall2___24a6: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eVectors_2eVectorDef_2eForall___24a4,type,
    cCoq_2eVectors_2eVectorDef_2eForall___24a4: $i > $i > $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___24a1,type,
    cCoq_2eVectors_2eVectorDef_2et___24a1: $i > $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_2eVector_2eForall,type,
    cCoq_2eVectors_2eVector_2eForall: $i ).

thf(tp_cCoq_2eVectors_2eVector_2eForall2,type,
    cCoq_2eVectors_2eVector_2eForall2: $i ).

thf(tp_cCoq_2eVectors_2eVector_2eForall2___24a6,type,
    cCoq_2eVectors_2eVector_2eForall2___24a6: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eVectors_2eVector_2eForall___24a4,type,
    cCoq_2eVectors_2eVector_2eForall___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eVectors_2eVector_2econs,type,
    cCoq_2eVectors_2eVector_2econs: $i ).

thf(tp_cCoq_2eVectors_2eVector_2econs___24a4,type,
    cCoq_2eVectors_2eVector_2econs___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eVector_2enil,type,
    cCoq_2eVectors_2eVector_2enil: $i ).

thf(tp_cCoq_2eVectors_2eVector_2enil___24a1,type,
    cCoq_2eVectors_2eVector_2enil___24a1: $i > $i ).

thf(tp_cCoq_2eVectors_2eVector_2et,type,
    cCoq_2eVectors_2eVector_2et: $i ).

thf(tp_cCoq_2eVectors_2eVector_2et___24a2,type,
    cCoq_2eVectors_2eVector_2et___24a2: $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eVector_2et___24t,type,
    cCoq_2eVectors_2eVector_2et___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eabs: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N___24a1: $i > $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_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_2emax,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emax: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emin,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emin: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2emin___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_2equot,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equot: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2erem,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2erem: $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_2et,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2et: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2et___24t,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2et___24t: $i > $o ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ezero,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ezero: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ePrivate__Div_2eQuot2Div_2ediv,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ePrivate__Div_2eQuot2Div_2ediv: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ePrivate__Div_2eQuot2Div_2emodulo,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ePrivate__Div_2eQuot2Div_2emodulo: $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_2eeqf,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eeqf: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeqf___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eeqf___24a2: $i > $i > $o ).

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_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 > $o ).

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 > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2et,type,
    cCoq_2eZArith_2eBinInt_2eZ_2et: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2et___24t,type,
    cCoq_2eZArith_2eBinInt_2eZ_2et___24t: $i > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eto__pos,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eto__pos: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eto__pos___24a1,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eto__pos___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ezero,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ezero: $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_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_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_2eZnumtheory_2eBezout,type,
    cCoq_2eZArith_2eZnumtheory_2eBezout: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eBezout___24a3,type,
    cCoq_2eZArith_2eZnumtheory_2eBezout___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid,type,
    cCoq_2eZArith_2eZnumtheory_2eEuclid: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid___24a2,type,
    cCoq_2eZArith_2eZnumtheory_2eEuclid___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid___24t,type,
    cCoq_2eZArith_2eZnumtheory_2eEuclid___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid__intro,type,
    cCoq_2eZArith_2eZnumtheory_2eEuclid__intro: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid__intro___24a5,type,
    cCoq_2eZArith_2eZnumtheory_2eEuclid__intro___24a5: $i > $i > $i > $i > $i > $i ).

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_2eZArith_2eZpower_2eZdiv__rest__proof,type,
    cCoq_2eZArith_2eZpower_2eZdiv__rest__proof: $i ).

thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proof___24a4,type,
    cCoq_2eZArith_2eZpower_2eZdiv__rest__proof___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs,type,
    cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs: $i ).

thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs___24a2,type,
    cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs___24t,type,
    cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZpower_2etwo__power__pos,type,
    cCoq_2eZArith_2eZpower_2etwo__power__pos: $i ).

thf(tp_cCoq_2eZArith_2eZpower_2etwo__power__pos___24a1,type,
    cCoq_2eZArith_2eZpower_2etwo__power__pos___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eDeclConstant_2eDeclaredConstant,type,
    cCoq_2emicromega_2eDeclConstant_2eDeclaredConstant: $i ).

thf(tp_cCoq_2emicromega_2eDeclConstant_2eDeclaredConstant___24a2,type,
    cCoq_2emicromega_2eDeclConstant_2eDeclaredConstant___24a2: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eDeclConstant_2eGT,type,
    cCoq_2emicromega_2eDeclConstant_2eGT: $i ).

thf(tp_cCoq_2emicromega_2eDeclConstant_2eGT___24a2,type,
    cCoq_2emicromega_2eDeclConstant_2eGT___24a2: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eEnvRing_2eMon,type,
    cCoq_2emicromega_2eEnvRing_2eMon: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2eMon___24t,type,
    cCoq_2emicromega_2eEnvRing_2eMon___24t: $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_2eEnvRing_2emon0,type,
    cCoq_2emicromega_2eEnvRing_2emon0: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2evmon,type,
    cCoq_2emicromega_2eEnvRing_2evmon: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2evmon___24a2,type,
    cCoq_2emicromega_2eEnvRing_2evmon___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ezmon,type,
    cCoq_2emicromega_2eEnvRing_2ezmon: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ezmon___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ezmon___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnv_2eEnv,type,
    cCoq_2emicromega_2eEnv_2eEnv: $i ).

thf(tp_cCoq_2emicromega_2eEnv_2eEnv___24a1,type,
    cCoq_2emicromega_2eEnv_2eEnv___24a1: $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_2eC0,type,
    cCoq_2emicromega_2eRMicromega_2eC0: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eC1,type,
    cCoq_2emicromega_2eRMicromega_2eC1: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCInv,type,
    cCoq_2emicromega_2eRMicromega_2eCInv: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCInv___24a1,type,
    cCoq_2emicromega_2eRMicromega_2eCInv___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCMinus,type,
    cCoq_2emicromega_2eRMicromega_2eCMinus: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCMinus___24a2,type,
    cCoq_2emicromega_2eRMicromega_2eCMinus___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCMult,type,
    cCoq_2emicromega_2eRMicromega_2eCMult: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCMult___24a2,type,
    cCoq_2emicromega_2eRMicromega_2eCMult___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCOpp,type,
    cCoq_2emicromega_2eRMicromega_2eCOpp: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCOpp___24a1,type,
    cCoq_2emicromega_2eRMicromega_2eCOpp___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCPlus,type,
    cCoq_2emicromega_2eRMicromega_2eCPlus: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCPlus___24a2,type,
    cCoq_2emicromega_2eRMicromega_2eCPlus___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCPow,type,
    cCoq_2emicromega_2eRMicromega_2eCPow: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCPow___24a2,type,
    cCoq_2emicromega_2eRMicromega_2eCPow___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCQ,type,
    cCoq_2emicromega_2eRMicromega_2eCQ: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCQ___24a1,type,
    cCoq_2emicromega_2eRMicromega_2eCQ___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCZ,type,
    cCoq_2emicromega_2eRMicromega_2eCZ: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eCZ___24a1,type,
    cCoq_2emicromega_2eRMicromega_2eCZ___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eRcst,type,
    cCoq_2emicromega_2eRMicromega_2eRcst: $i ).

thf(tp_cCoq_2emicromega_2eRMicromega_2eRcst___24t,type,
    cCoq_2emicromega_2eRMicromega_2eRcst___24t: $i > $o ).

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_2eRefl_2emake__impl,type,
    cCoq_2emicromega_2eRefl_2emake__impl: $i ).

thf(tp_cCoq_2emicromega_2eRefl_2emake__impl___24a4,type,
    cCoq_2emicromega_2eRefl_2emake__impl___24a4: $i > $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_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_2ePolC___24t,type,
    cCoq_2emicromega_2eRingMicromega_2ePolC___24t: $i > $i > $o ).

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_2ePsatz,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatz: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzAdd,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzAdd: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzAdd___24a3,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzAdd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzC,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzC: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzC___24a2,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzC___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzIn,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzIn: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzIn___24a2,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzIn___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzMulC,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzMulC: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzMulC___24a3,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzMulC___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzMulE,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzMulE: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzMulE___24a3,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzMulE___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzSquare,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzSquare: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzSquare___24a2,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzSquare___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzZ,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzZ: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatzZ___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatzZ___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatz___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatz___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatz___24t,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatz___24t: $i > $i > $o ).

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_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_2eVarMap_2eBranch,type,
    cCoq_2emicromega_2eVarMap_2eBranch: $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2eBranch___24a4,type,
    cCoq_2emicromega_2eVarMap_2eBranch___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2eElt,type,
    cCoq_2emicromega_2eVarMap_2eElt: $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2eElt___24a2,type,
    cCoq_2emicromega_2eVarMap_2eElt___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2eEmpty,type,
    cCoq_2emicromega_2eVarMap_2eEmpty: $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2eEmpty___24a1,type,
    cCoq_2emicromega_2eVarMap_2eEmpty___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2et,type,
    cCoq_2emicromega_2eVarMap_2et: $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2et___24a1,type,
    cCoq_2emicromega_2eVarMap_2et___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2et___24t,type,
    cCoq_2emicromega_2eVarMap_2et___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eCutProof,type,
    cCoq_2emicromega_2eZMicromega_2eCutProof: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eCutProof___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eCutProof___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eDoneProof,type,
    cCoq_2emicromega_2eZMicromega_2eDoneProof: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eEnumProof,type,
    cCoq_2emicromega_2eZMicromega_2eEnumProof: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eEnumProof___24a3,type,
    cCoq_2emicromega_2eZMicromega_2eEnumProof___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eRatProof,type,
    cCoq_2emicromega_2eZMicromega_2eRatProof: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eRatProof___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eRatProof___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eE_2ebits__lt,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eE_2ebits__lt: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eE_2ebits__lt___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eE_2ebits__lt___24a2: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eE_2eeq,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eE_2eeq: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eE_2elt,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eE_2elt: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eE_2et,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eE_2et: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eE_2et___24t,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eE_2et___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__Prop,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__Prop: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__Prop___24a1,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__Prop___24a1: $i > $o ).

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_2eLeaf,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eLeaf: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eNode,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eNode: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eNode___24a3,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eNode___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2ect,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2ect: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2ect___24a3,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2ect___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eelt,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eelt: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eelt___24t,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eelt___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eeq,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eeq: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2et,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2et: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2et___24t,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2et___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2etree,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2etree: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2etree___24t,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2etree___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZArithProof,type,
    cCoq_2emicromega_2eZMicromega_2eZArithProof: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZArithProof___24t,type,
    cCoq_2emicromega_2eZMicromega_2eZArithProof___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZWitness,type,
    cCoq_2emicromega_2eZMicromega_2eZWitness: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZWitness___24t,type,
    cCoq_2emicromega_2eZMicromega_2eZWitness___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2econeMember,type,
    cCoq_2emicromega_2eZMicromega_2econeMember: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2econeMember___24t,type,
    cCoq_2emicromega_2eZMicromega_2econeMember___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eis__diff__env__elt,type,
    cCoq_2emicromega_2eZMicromega_2eis__diff__env__elt: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eis__diff__env__elt___24a4,type,
    cCoq_2emicromega_2eZMicromega_2eis__diff__env__elt___24a4: $i > $i > $i > $i > $o ).

thf(tp_cCoq_2eomega_2ePreOmega_2eZ__of__N_27,type,
    cCoq_2eomega_2ePreOmega_2eZ__of__N_27: $i ).

thf(tp_cCoq_2eomega_2ePreOmega_2eZ__of__nat_27,type,
    cCoq_2eomega_2ePreOmega_2eZ__of__nat_27: $i ).

thf(tp_cCoq_2eomega_2ePreOmega_2eZneg_27,type,
    cCoq_2eomega_2ePreOmega_2eZneg_27: $i ).

thf(tp_cCoq_2eomega_2ePreOmega_2eZpos_27,type,
    cCoq_2eomega_2ePreOmega_2eZpos_27: $i ).

thf(tp_cCoq_2esetoid__ring_2eArithRing_2eprotected__to__nat,type,
    cCoq_2esetoid__ring_2eArithRing_2eprotected__to__nat: $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_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_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_2emk__rsplit,type,
    cCoq_2esetoid__ring_2eField__theory_2emk__rsplit: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2emk__rsplit___24a4,type,
    cCoq_2esetoid__ring_2eField__theory_2emk__rsplit___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ersplit,type,
    cCoq_2esetoid__ring_2eField__theory_2ersplit: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ersplit___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2ersplit___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ersplit___24t,type,
    cCoq_2esetoid__ring_2eField__theory_2ersplit___24t: $i > $i > $o ).

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_2eNotConstant,type,
    cCoq_2esetoid__ring_2eInitialRing_2eNotConstant: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2eNword,type,
    cCoq_2esetoid__ring_2eInitialRing_2eNword: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2eNword___24t,type,
    cCoq_2esetoid__ring_2eInitialRing_2eNword___24t: $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_2ehypo,type,
    cCoq_2esetoid__ring_2eInitialRing_2ehypo: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2ehypo___24t,type,
    cCoq_2esetoid__ring_2eInitialRing_2ehypo___24t: $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2emkhypo,type,
    cCoq_2esetoid__ring_2eInitialRing_2emkhypo: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2emkhypo___24a2,type,
    cCoq_2esetoid__ring_2eInitialRing_2emkhypo___24a2: $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_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_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_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_2emkmult__pow,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emkmult__pow: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emkmult__pow___24a5,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emkmult__pow___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emon0,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emon0: $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_2eAbstract,type,
    cCoq_2esetoid__ring_2eRing__theory_2eAbstract: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eComputational,type,
    cCoq_2esetoid__ring_2eRing__theory_2eComputational: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eComputational___24a3,type,
    cCoq_2esetoid__ring_2eRing__theory_2eComputational___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eIDphi,type,
    cCoq_2esetoid__ring_2eRing__theory_2eIDphi: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eIDphi___24a2,type,
    cCoq_2esetoid__ring_2eRing__theory_2eIDphi___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eMorphism,type,
    cCoq_2esetoid__ring_2eRing__theory_2eMorphism: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eMorphism___24a17,type,
    cCoq_2esetoid__ring_2eRing__theory_2eMorphism___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eSRopp,type,
    cCoq_2esetoid__ring_2eRing__theory_2eSRopp: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eSRopp___24a2,type,
    cCoq_2esetoid__ring_2eRing__theory_2eSRopp___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eSRsub,type,
    cCoq_2esetoid__ring_2eRing__theory_2eSRsub: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eSRsub___24a4,type,
    cCoq_2esetoid__ring_2eRing__theory_2eSRsub___24a4: $i > $i > $i > $i > $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_2eid__phi__N,type,
    cCoq_2esetoid__ring_2eRing__theory_2eid__phi__N: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eid__phi__N___24a1,type,
    cCoq_2esetoid__ring_2eRing__theory_2eid__phi__N___24a1: $i > $i ).

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__kind,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__kind: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__kind___24t,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__kind___24t: $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__morph,type,
    cCoq_2esetoid__ring_2eRing__theory_2esemi__morph: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esemi__morph___24a13,type,
    cCoq_2esetoid__ring_2eRing__theory_2esemi__morph___24a13: $i > $i > $i > $i > $i > $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_cCoq_2esetoid__ring_2eRing__theory_2esring__eq__ext,type,
    cCoq_2esetoid__ring_2eRing__theory_2esring__eq__ext: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esring__eq__ext___24a4,type,
    cCoq_2esetoid__ring_2eRing__theory_2esring__eq__ext___24a4: $i > $i > $i > $i > $o ).

thf(tp_cHammer_2eTactics_2eReconstr_2eAllHyps,type,
    cHammer_2eTactics_2eReconstr_2eAllHyps: $i ).

thf(tp_cHammer_2eTactics_2eReconstr_2eEmpty,type,
    cHammer_2eTactics_2eReconstr_2eEmpty: $i ).

thf(tp_cHammer_2eTactics_2eReconstr_2eReconstrT,type,
    cHammer_2eTactics_2eReconstr_2eReconstrT: $i ).

thf(tp_cHammer_2eTactics_2eReconstr_2eReconstrT___24t,type,
    cHammer_2eTactics_2eReconstr_2eReconstrT___24t: $i > $o ).

thf(tp_cHammer_2eTactics_2eReconstr_2erdone,type,
    cHammer_2eTactics_2eReconstr_2erdone: $i ).

thf(tp_cHammer_2eTactics_2eReconstr_2erdone___24a2,type,
    cHammer_2eTactics_2eReconstr_2erdone___24a2: $i > $i > $o ).

thf(tp_cHammer_2eTactics_2eTactics_2erdone,type,
    cHammer_2eTactics_2eTactics_2erdone: $i ).

thf(tp_cHammer_2eTactics_2eTactics_2erdone___24a2,type,
    cHammer_2eTactics_2eTactics_2erdone___24a2: $i > $i > $o ).

thf(tp_cPLF_2eImp_2eAExp_2eAMinus,type,
    cPLF_2eImp_2eAExp_2eAMinus: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eAMinus___24a2,type,
    cPLF_2eImp_2eAExp_2eAMinus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eAMult,type,
    cPLF_2eImp_2eAExp_2eAMult: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eAMult___24a2,type,
    cPLF_2eImp_2eAExp_2eAMult___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eANum,type,
    cPLF_2eImp_2eAExp_2eANum: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eANum___24a1,type,
    cPLF_2eImp_2eAExp_2eANum___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eAPlus,type,
    cPLF_2eImp_2eAExp_2eAPlus: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eAPlus___24a2,type,
    cPLF_2eImp_2eAExp_2eAPlus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBAnd,type,
    cPLF_2eImp_2eAExp_2eBAnd: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBAnd___24a2,type,
    cPLF_2eImp_2eAExp_2eBAnd___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBEq,type,
    cPLF_2eImp_2eAExp_2eBEq: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBEq___24a2,type,
    cPLF_2eImp_2eAExp_2eBEq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBFalse,type,
    cPLF_2eImp_2eAExp_2eBFalse: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBLe,type,
    cPLF_2eImp_2eAExp_2eBLe: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBLe___24a2,type,
    cPLF_2eImp_2eAExp_2eBLe___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBNot,type,
    cPLF_2eImp_2eAExp_2eBNot: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBNot___24a1,type,
    cPLF_2eImp_2eAExp_2eBNot___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eAExp_2eBTrue,type,
    cPLF_2eImp_2eAExp_2eBTrue: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eaevalR,type,
    cPLF_2eImp_2eAExp_2eaevalR: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eaevalR___24a2,type,
    cPLF_2eImp_2eAExp_2eaevalR___24a2: $i > $i > $o ).

thf(tp_cPLF_2eImp_2eAExp_2eaevalR__first__try_2eTooHardToRead_2eaevalR,type,
    cPLF_2eImp_2eAExp_2eaevalR__first__try_2eTooHardToRead_2eaevalR: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eaevalR__first__try_2eTooHardToRead_2eaevalR___24a2,type,
    cPLF_2eImp_2eAExp_2eaevalR__first__try_2eTooHardToRead_2eaevalR___24a2: $i > $i > $o ).

thf(tp_cPLF_2eImp_2eAExp_2eaevalR__first__try_2eaevalR,type,
    cPLF_2eImp_2eAExp_2eaevalR__first__try_2eaevalR: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eaevalR__first__try_2eaevalR___24a2,type,
    cPLF_2eImp_2eAExp_2eaevalR__first__try_2eaevalR___24a2: $i > $i > $o ).

thf(tp_cPLF_2eImp_2eAExp_2eaexp,type,
    cPLF_2eImp_2eAExp_2eaexp: $i ).

thf(tp_cPLF_2eImp_2eAExp_2eaexp___24t,type,
    cPLF_2eImp_2eAExp_2eaexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eAExp_2ebexp,type,
    cPLF_2eImp_2eAExp_2ebexp: $i ).

thf(tp_cPLF_2eImp_2eAExp_2ebexp___24t,type,
    cPLF_2eImp_2eAExp_2ebexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eAId,type,
    cPLF_2eImp_2eAId: $i ).

thf(tp_cPLF_2eImp_2eAId___24a1,type,
    cPLF_2eImp_2eAId___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eAMinus,type,
    cPLF_2eImp_2eAMinus: $i ).

thf(tp_cPLF_2eImp_2eAMinus___24a2,type,
    cPLF_2eImp_2eAMinus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAMult,type,
    cPLF_2eImp_2eAMult: $i ).

thf(tp_cPLF_2eImp_2eAMult___24a2,type,
    cPLF_2eImp_2eAMult___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eANum,type,
    cPLF_2eImp_2eANum: $i ).

thf(tp_cPLF_2eImp_2eANum___24a1,type,
    cPLF_2eImp_2eANum___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eAPlus,type,
    cPLF_2eImp_2eAPlus: $i ).

thf(tp_cPLF_2eImp_2eAPlus___24a2,type,
    cPLF_2eImp_2eAPlus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBAnd,type,
    cPLF_2eImp_2eBAnd: $i ).

thf(tp_cPLF_2eImp_2eBAnd___24a2,type,
    cPLF_2eImp_2eBAnd___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBEq,type,
    cPLF_2eImp_2eBEq: $i ).

thf(tp_cPLF_2eImp_2eBEq___24a2,type,
    cPLF_2eImp_2eBEq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBFalse,type,
    cPLF_2eImp_2eBFalse: $i ).

thf(tp_cPLF_2eImp_2eBLe,type,
    cPLF_2eImp_2eBLe: $i ).

thf(tp_cPLF_2eImp_2eBLe___24a2,type,
    cPLF_2eImp_2eBLe___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBNot,type,
    cPLF_2eImp_2eBNot: $i ).

thf(tp_cPLF_2eImp_2eBNot___24a1,type,
    cPLF_2eImp_2eBNot___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eBTrue,type,
    cPLF_2eImp_2eBTrue: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCAss,type,
    cPLF_2eImp_2eBreakImp_2eCAss: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCAss___24a2,type,
    cPLF_2eImp_2eBreakImp_2eCAss___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCBreak,type,
    cPLF_2eImp_2eBreakImp_2eCBreak: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCIf,type,
    cPLF_2eImp_2eBreakImp_2eCIf: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCIf___24a3,type,
    cPLF_2eImp_2eBreakImp_2eCIf___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCSeq,type,
    cPLF_2eImp_2eBreakImp_2eCSeq: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCSeq___24a2,type,
    cPLF_2eImp_2eBreakImp_2eCSeq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCSkip,type,
    cPLF_2eImp_2eBreakImp_2eCSkip: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCWhile,type,
    cPLF_2eImp_2eBreakImp_2eCWhile: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCWhile___24a2,type,
    cPLF_2eImp_2eBreakImp_2eCWhile___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eSBreak,type,
    cPLF_2eImp_2eBreakImp_2eSBreak: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eSContinue,type,
    cPLF_2eImp_2eBreakImp_2eSContinue: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2ecom,type,
    cPLF_2eImp_2eBreakImp_2ecom: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2ecom___24t,type,
    cPLF_2eImp_2eBreakImp_2ecom___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eBreakImp_2eresult,type,
    cPLF_2eImp_2eBreakImp_2eresult: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eresult___24t,type,
    cPLF_2eImp_2eBreakImp_2eresult___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eCAss,type,
    cPLF_2eImp_2eCAss: $i ).

thf(tp_cPLF_2eImp_2eCAss___24a2,type,
    cPLF_2eImp_2eCAss___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eCIf,type,
    cPLF_2eImp_2eCIf: $i ).

thf(tp_cPLF_2eImp_2eCIf___24a3,type,
    cPLF_2eImp_2eCIf___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eImp_2eCSeq,type,
    cPLF_2eImp_2eCSeq: $i ).

thf(tp_cPLF_2eImp_2eCSeq___24a2,type,
    cPLF_2eImp_2eCSeq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eCSkip,type,
    cPLF_2eImp_2eCSkip: $i ).

thf(tp_cPLF_2eImp_2eCWhile,type,
    cPLF_2eImp_2eCWhile: $i ).

thf(tp_cPLF_2eImp_2eCWhile___24a2,type,
    cPLF_2eImp_2eCWhile___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eSLoad,type,
    cPLF_2eImp_2eSLoad: $i ).

thf(tp_cPLF_2eImp_2eSLoad___24a1,type,
    cPLF_2eImp_2eSLoad___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eSMinus,type,
    cPLF_2eImp_2eSMinus: $i ).

thf(tp_cPLF_2eImp_2eSMult,type,
    cPLF_2eImp_2eSMult: $i ).

thf(tp_cPLF_2eImp_2eSPlus,type,
    cPLF_2eImp_2eSPlus: $i ).

thf(tp_cPLF_2eImp_2eSPush,type,
    cPLF_2eImp_2eSPush: $i ).

thf(tp_cPLF_2eImp_2eSPush___24a1,type,
    cPLF_2eImp_2eSPush___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eX,type,
    cPLF_2eImp_2eX: $i ).

thf(tp_cPLF_2eImp_2eY,type,
    cPLF_2eImp_2eY: $i ).

thf(tp_cPLF_2eImp_2eaeval,type,
    cPLF_2eImp_2eaeval: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eADiv,type,
    cPLF_2eImp_2eaevalR__division_2eADiv: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eADiv___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eADiv___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMinus,type,
    cPLF_2eImp_2eaevalR__division_2eAMinus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMinus___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eAMinus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMult,type,
    cPLF_2eImp_2eaevalR__division_2eAMult: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMult___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eAMult___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eANum,type,
    cPLF_2eImp_2eaevalR__division_2eANum: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eANum___24a1,type,
    cPLF_2eImp_2eaevalR__division_2eANum___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAPlus,type,
    cPLF_2eImp_2eaevalR__division_2eAPlus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAPlus___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eAPlus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eaevalR,type,
    cPLF_2eImp_2eaevalR__division_2eaevalR: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eaevalR___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eaevalR___24a2: $i > $i > $o ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eaexp,type,
    cPLF_2eImp_2eaevalR__division_2eaexp: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eaexp___24t,type,
    cPLF_2eImp_2eaevalR__division_2eaexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAAny,type,
    cPLF_2eImp_2eaevalR__extended_2eAAny: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMinus,type,
    cPLF_2eImp_2eaevalR__extended_2eAMinus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMinus___24a2,type,
    cPLF_2eImp_2eaevalR__extended_2eAMinus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMult,type,
    cPLF_2eImp_2eaevalR__extended_2eAMult: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMult___24a2,type,
    cPLF_2eImp_2eaevalR__extended_2eAMult___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eANum,type,
    cPLF_2eImp_2eaevalR__extended_2eANum: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eANum___24a1,type,
    cPLF_2eImp_2eaevalR__extended_2eANum___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAPlus,type,
    cPLF_2eImp_2eaevalR__extended_2eAPlus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAPlus___24a2,type,
    cPLF_2eImp_2eaevalR__extended_2eAPlus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eaevalR,type,
    cPLF_2eImp_2eaevalR__extended_2eaevalR: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eaevalR___24a2,type,
    cPLF_2eImp_2eaevalR__extended_2eaevalR___24a2: $i > $i > $o ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eaexp,type,
    cPLF_2eImp_2eaevalR__extended_2eaexp: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eaexp___24t,type,
    cPLF_2eImp_2eaevalR__extended_2eaexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eaeval___24a2,type,
    cPLF_2eImp_2eaeval___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaexp,type,
    cPLF_2eImp_2eaexp: $i ).

thf(tp_cPLF_2eImp_2eaexp___24t,type,
    cPLF_2eImp_2eaexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2ebeval,type,
    cPLF_2eImp_2ebeval: $i ).

thf(tp_cPLF_2eImp_2ebeval___24a2,type,
    cPLF_2eImp_2ebeval___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2ebexp,type,
    cPLF_2eImp_2ebexp: $i ).

thf(tp_cPLF_2eImp_2ebexp___24t,type,
    cPLF_2eImp_2ebexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eceval,type,
    cPLF_2eImp_2eceval: $i ).

thf(tp_cPLF_2eImp_2eceval___24a3,type,
    cPLF_2eImp_2eceval___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eImp_2ecom,type,
    cPLF_2eImp_2ecom: $i ).

thf(tp_cPLF_2eImp_2ecom___24t,type,
    cPLF_2eImp_2ecom___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eempty__st,type,
    cPLF_2eImp_2eempty__st: $i ).

thf(tp_cPLF_2eImp_2epup__to__n,type,
    cPLF_2eImp_2epup__to__n: $i ).

thf(tp_cPLF_2eImp_2esinstr,type,
    cPLF_2eImp_2esinstr: $i ).

thf(tp_cPLF_2eImp_2esinstr___24t,type,
    cPLF_2eImp_2esinstr___24t: $i > $o ).

thf(tp_cPLF_2eImp_2estate,type,
    cPLF_2eImp_2estate: $i ).

thf(tp_cPLF_2eImp_2estate___24t,type,
    cPLF_2eImp_2estate___24t: $i > $o ).

thf(tp_cPLF_2eMaps_2eeqb__string,type,
    cPLF_2eMaps_2eeqb__string: $i ).

thf(tp_cPLF_2eMaps_2eeqb__string___24a2,type,
    cPLF_2eMaps_2eeqb__string___24a2: $i > $i > $i ).

thf(tp_cPLF_2eMaps_2et__empty,type,
    cPLF_2eMaps_2et__empty: $i ).

thf(tp_cPLF_2eMaps_2et__empty___24a2,type,
    cPLF_2eMaps_2et__empty___24a2: $i > $i > $i ).

thf(tp_cPLF_2eMaps_2et__update,type,
    cPLF_2eMaps_2et__update: $i ).

thf(tp_cPLF_2eMaps_2et__update___24a5,type,
    cPLF_2eMaps_2et__update___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cPLF_2eMaps_2etotal__map,type,
    cPLF_2eMaps_2etotal__map: $i ).

thf(tp_cPLF_2eMaps_2etotal__map___24a1,type,
    cPLF_2eMaps_2etotal__map___24a1: $i > $i ).

thf(tp_cPLF_2eMaps_2etotal__map___24t,type,
    cPLF_2eMaps_2etotal__map___24t: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eC,type,
    cPLF_2eSmallstep_2eC: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCAss,type,
    cPLF_2eSmallstep_2eCImp_2eCAss: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCAss___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCAss___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCIf,type,
    cPLF_2eSmallstep_2eCImp_2eCIf: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCIf___24a3,type,
    cPLF_2eSmallstep_2eCImp_2eCIf___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCPar,type,
    cPLF_2eSmallstep_2eCImp_2eCPar: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCPar___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCPar___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCSeq,type,
    cPLF_2eSmallstep_2eCImp_2eCSeq: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCSeq___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCSeq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCSkip,type,
    cPLF_2eSmallstep_2eCImp_2eCSkip: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCWhile,type,
    cPLF_2eSmallstep_2eCImp_2eCWhile: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCWhile___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCWhile___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecmultistep,type,
    cPLF_2eSmallstep_2eCImp_2ecmultistep: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecom,type,
    cPLF_2eSmallstep_2eCImp_2ecom: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecom___24t,type,
    cPLF_2eSmallstep_2eCImp_2ecom___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecstep,type,
    cPLF_2eSmallstep_2eCImp_2ecstep: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecstep___24a2,type,
    cPLF_2eSmallstep_2eCImp_2ecstep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eC___24a1,type,
    cPLF_2eSmallstep_2eC___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eC,type,
    cPLF_2eSmallstep_2eCombined_2eC: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eC___24a1,type,
    cPLF_2eSmallstep_2eCombined_2eC___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eP,type,
    cPLF_2eSmallstep_2eCombined_2eP: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eP___24a2,type,
    cPLF_2eSmallstep_2eCombined_2eP___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2efls,type,
    cPLF_2eSmallstep_2eCombined_2efls: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2estep,type,
    cPLF_2eSmallstep_2eCombined_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2estep___24a2,type,
    cPLF_2eSmallstep_2eCombined_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etest,type,
    cPLF_2eSmallstep_2eCombined_2etest: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etest___24a3,type,
    cPLF_2eSmallstep_2eCombined_2etest___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etm,type,
    cPLF_2eSmallstep_2eCombined_2etm: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etm___24t,type,
    cPLF_2eSmallstep_2eCombined_2etm___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etru,type,
    cPLF_2eSmallstep_2eCombined_2etru: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2evalue,type,
    cPLF_2eSmallstep_2eCombined_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2evalue___24a1,type,
    cPLF_2eSmallstep_2eCombined_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eP,type,
    cPLF_2eSmallstep_2eP: $i ).

thf(tp_cPLF_2eSmallstep_2eP___24a2,type,
    cPLF_2eSmallstep_2eP___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eSimpleArith1_2estep,type,
    cPLF_2eSmallstep_2eSimpleArith1_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eSimpleArith1_2estep___24a2,type,
    cPLF_2eSmallstep_2eSimpleArith1_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2estep,type,
    cPLF_2eSmallstep_2eTemp1_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp1_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2evalue,type,
    cPLF_2eSmallstep_2eTemp1_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2evalue___24a1,type,
    cPLF_2eSmallstep_2eTemp1_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2estep,type,
    cPLF_2eSmallstep_2eTemp2_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp2_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2evalue,type,
    cPLF_2eSmallstep_2eTemp2_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2evalue___24a1,type,
    cPLF_2eSmallstep_2eTemp2_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2estep,type,
    cPLF_2eSmallstep_2eTemp3_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp3_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2evalue,type,
    cPLF_2eSmallstep_2eTemp3_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2evalue___24a1,type,
    cPLF_2eSmallstep_2eTemp3_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2eTemp5_2ebool__step__prop4,type,
    cPLF_2eSmallstep_2eTemp4_2eTemp5_2ebool__step__prop4: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2eTemp5_2estep,type,
    cPLF_2eSmallstep_2eTemp4_2eTemp5_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2eTemp5_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp4_2eTemp5_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2efls,type,
    cPLF_2eSmallstep_2eTemp4_2efls: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2estep,type,
    cPLF_2eSmallstep_2eTemp4_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp4_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etest,type,
    cPLF_2eSmallstep_2eTemp4_2etest: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etest___24a3,type,
    cPLF_2eSmallstep_2eTemp4_2etest___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etm,type,
    cPLF_2eSmallstep_2eTemp4_2etm: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etm___24t,type,
    cPLF_2eSmallstep_2eTemp4_2etm___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etru,type,
    cPLF_2eSmallstep_2eTemp4_2etru: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2evalue,type,
    cPLF_2eSmallstep_2eTemp4_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2evalue___24a1,type,
    cPLF_2eSmallstep_2eTemp4_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eastep,type,
    cPLF_2eSmallstep_2eastep: $i ).

thf(tp_cPLF_2eSmallstep_2eastep___24a3,type,
    cPLF_2eSmallstep_2eastep___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eaval,type,
    cPLF_2eSmallstep_2eaval: $i ).

thf(tp_cPLF_2eSmallstep_2eaval___24a1,type,
    cPLF_2eSmallstep_2eaval___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2ebstep,type,
    cPLF_2eSmallstep_2ebstep: $i ).

thf(tp_cPLF_2eSmallstep_2ebstep___24a3,type,
    cPLF_2eSmallstep_2ebstep___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2ecompiler__is__correct__statement,type,
    cPLF_2eSmallstep_2ecompiler__is__correct__statement: $i ).

thf(tp_cPLF_2eSmallstep_2eeval,type,
    cPLF_2eSmallstep_2eeval: $i ).

thf(tp_cPLF_2eSmallstep_2eeval___24a2,type,
    cPLF_2eSmallstep_2eeval___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2emulti,type,
    cPLF_2eSmallstep_2emulti: $i ).

thf(tp_cPLF_2eSmallstep_2emulti___24a2,type,
    cPLF_2eSmallstep_2emulti___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2emulti___24a4,type,
    cPLF_2eSmallstep_2emulti___24a4: $i > $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2enormal__form,type,
    cPLF_2eSmallstep_2enormal__form: $i ).

thf(tp_cPLF_2eSmallstep_2enormal__form___24a2,type,
    cPLF_2eSmallstep_2enormal__form___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2enormal__form___24a3,type,
    cPLF_2eSmallstep_2enormal__form___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2enormal__form__of,type,
    cPLF_2eSmallstep_2enormal__form__of: $i ).

thf(tp_cPLF_2eSmallstep_2enormal__form__of___24a2,type,
    cPLF_2eSmallstep_2enormal__form__of___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2enormalizing,type,
    cPLF_2eSmallstep_2enormalizing: $i ).

thf(tp_cPLF_2eSmallstep_2enormalizing___24a2,type,
    cPLF_2eSmallstep_2enormalizing___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eprog,type,
    cPLF_2eSmallstep_2eprog: $i ).

thf(tp_cPLF_2eSmallstep_2eprog___24t,type,
    cPLF_2eSmallstep_2eprog___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2erelation,type,
    cPLF_2eSmallstep_2erelation: $i ).

thf(tp_cPLF_2eSmallstep_2erelation___24a1,type,
    cPLF_2eSmallstep_2erelation___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2erelation___24t,type,
    cPLF_2eSmallstep_2erelation___24t: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2estack,type,
    cPLF_2eSmallstep_2estack: $i ).

thf(tp_cPLF_2eSmallstep_2estack___24t,type,
    cPLF_2eSmallstep_2estack___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2estack__multistep,type,
    cPLF_2eSmallstep_2estack__multistep: $i ).

thf(tp_cPLF_2eSmallstep_2estack__multistep___24a1,type,
    cPLF_2eSmallstep_2estack__multistep___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2estack__step,type,
    cPLF_2eSmallstep_2estack__step: $i ).

thf(tp_cPLF_2eSmallstep_2estack__step___24a1,type,
    cPLF_2eSmallstep_2estack__step___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2estack__step___24a3,type,
    cPLF_2eSmallstep_2estack__step___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2estep,type,
    cPLF_2eSmallstep_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2estep___24a2,type,
    cPLF_2eSmallstep_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2estep__normal__form,type,
    cPLF_2eSmallstep_2estep__normal__form: $i ).

thf(tp_cPLF_2eSmallstep_2estep__normal__form___24a1,type,
    cPLF_2eSmallstep_2estep__normal__form___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2etm,type,
    cPLF_2eSmallstep_2etm: $i ).

thf(tp_cPLF_2eSmallstep_2etm___24t,type,
    cPLF_2eSmallstep_2etm___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2evalue,type,
    cPLF_2eSmallstep_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2evalue___24a1,type,
    cPLF_2eSmallstep_2evalue___24a1: $i > $o ).

thf(tp_cProp,type,
    cProp: $i ).

thf(tp_cProp___24t,type,
    cProp___24t: $i > $o ).

thf(tp_cStlc_2eSTLC_2eArrow,type,
    cStlc_2eSTLC_2eArrow: $i ).

thf(tp_cStlc_2eSTLC_2eArrow___24a2,type,
    cStlc_2eSTLC_2eArrow___24a2: $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2eBool,type,
    cStlc_2eSTLC_2eBool: $i ).

thf(tp_cStlc_2eSTLC_2eabs,type,
    cStlc_2eSTLC_2eabs: $i ).

thf(tp_cStlc_2eSTLC_2eabs___24a3,type,
    cStlc_2eSTLC_2eabs___24a3: $i > $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2eapp,type,
    cStlc_2eSTLC_2eapp: $i ).

thf(tp_cStlc_2eSTLC_2eapp___24a2,type,
    cStlc_2eSTLC_2eapp___24a2: $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2efls,type,
    cStlc_2eSTLC_2efls: $i ).

thf(tp_cStlc_2eSTLC_2estep,type,
    cStlc_2eSTLC_2estep: $i ).

thf(tp_cStlc_2eSTLC_2estep___24a2,type,
    cStlc_2eSTLC_2estep___24a2: $i > $i > $o ).

thf(tp_cStlc_2eSTLC_2esubst,type,
    cStlc_2eSTLC_2esubst: $i ).

thf(tp_cStlc_2eSTLC_2esubst___24a3,type,
    cStlc_2eSTLC_2esubst___24a3: $i > $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2esubsti,type,
    cStlc_2eSTLC_2esubsti: $i ).

thf(tp_cStlc_2eSTLC_2esubsti___24a4,type,
    cStlc_2eSTLC_2esubsti___24a4: $i > $i > $i > $i > $o ).

thf(tp_cStlc_2eSTLC_2esubsti__rec,type,
    cStlc_2eSTLC_2esubsti__rec: $i ).

thf(tp_cStlc_2eSTLC_2esubsti__rec___24a3,type,
    cStlc_2eSTLC_2esubsti__rec___24a3: $i > $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2esubsti__rect,type,
    cStlc_2eSTLC_2esubsti__rect: $i ).

thf(tp_cStlc_2eSTLC_2esubsti__rect___24a3,type,
    cStlc_2eSTLC_2esubsti__rect___24a3: $i > $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2etest,type,
    cStlc_2eSTLC_2etest: $i ).

thf(tp_cStlc_2eSTLC_2etest___24a3,type,
    cStlc_2eSTLC_2etest___24a3: $i > $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2etm,type,
    cStlc_2eSTLC_2etm: $i ).

thf(tp_cStlc_2eSTLC_2etm___24t,type,
    cStlc_2eSTLC_2etm___24t: $i > $o ).

thf(tp_cStlc_2eSTLC_2etm__rec,type,
    cStlc_2eSTLC_2etm__rec: $i ).

thf(tp_cStlc_2eSTLC_2etm__rec___24a1,type,
    cStlc_2eSTLC_2etm__rec___24a1: $i > $i ).

thf(tp_cStlc_2eSTLC_2etm__rect,type,
    cStlc_2eSTLC_2etm__rect: $i ).

thf(tp_cStlc_2eSTLC_2etm__rect___24a1,type,
    cStlc_2eSTLC_2etm__rect___24a1: $i > $i ).

thf(tp_cStlc_2eSTLC_2etm__rect___24a8,type,
    cStlc_2eSTLC_2etm__rect___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2etru,type,
    cStlc_2eSTLC_2etru: $i ).

thf(tp_cStlc_2eSTLC_2ety,type,
    cStlc_2eSTLC_2ety: $i ).

thf(tp_cStlc_2eSTLC_2ety___24t,type,
    cStlc_2eSTLC_2ety___24t: $i > $o ).

thf(tp_cStlc_2eSTLC_2ety__rec,type,
    cStlc_2eSTLC_2ety__rec: $i ).

thf(tp_cStlc_2eSTLC_2ety__rec___24a1,type,
    cStlc_2eSTLC_2ety__rec___24a1: $i > $i ).

thf(tp_cStlc_2eSTLC_2ety__rect,type,
    cStlc_2eSTLC_2ety__rect: $i ).

thf(tp_cStlc_2eSTLC_2ety__rect___24a1,type,
    cStlc_2eSTLC_2ety__rect___24a1: $i > $i ).

thf(tp_cStlc_2eSTLC_2ety__rect___24a4,type,
    cStlc_2eSTLC_2ety__rect___24a4: $i > $i > $i > $i > $i ).

thf(tp_cStlc_2eSTLC_2evalue,type,
    cStlc_2eSTLC_2evalue: $i ).

thf(tp_cStlc_2eSTLC_2evalue___24a1,type,
    cStlc_2eSTLC_2evalue___24a1: $i > $o ).

thf(tp_cStlc_2eSTLC_2evar,type,
    cStlc_2eSTLC_2evar: $i ).

thf(tp_cStlc_2eSTLC_2evar___24a1,type,
    cStlc_2eSTLC_2evar___24a1: $i > $i ).

thf(tp_cStlc_2eSTLC_2ex,type,
    cStlc_2eSTLC_2ex: $i ).

thf(tp_cType,type,
    cType: $i ).

thf(tp_cType___24t,type,
    cType___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_24113326,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24113326: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24113326___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24113326___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24113543,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24113543: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24113543___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24113543___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24166,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24166: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24166___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24166___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434518,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434518: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434518___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434518___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434849,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434849: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434849___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2434849___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24128598,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24128598: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24128598___24a6,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24128598___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24128685,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24128685: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24128685___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24128685___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24109001,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24109001: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24109001___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24109001___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24109110,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24109110: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24109110___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24109110___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24109204,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24109204: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24109204___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24109204___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24111104,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24111104: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24111104___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24111104___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24113965,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24113965: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24113965___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24113965___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24136884,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24136884: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24136884___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24136884___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24139501,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24139501: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24139501___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24139501___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24139523,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24139523: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24139523___24a1,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24139523___24a1: $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150278,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150278: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150278___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150278___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150387,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150387: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150387___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150387___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150481,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150481: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150481___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150481___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150586,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150586: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150586___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150586___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150695,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150695: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150695___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150695___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150789,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150789: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24150789___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24150789___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2433979,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2433979: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2433979___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2433979___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434103,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434103: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434103___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434103___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434211,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434211: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434211___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434211___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434601,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434601: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434601___24a2,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434601___24a2: $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434914,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434914: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2434914___24a2,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2434914___24a2: $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2435257,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2435257: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2435257___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2435257___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2435379,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2435379: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2435379___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2435379___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2435482,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2435482: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2435482___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2435482___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_24134502,type,
    c_24__case__Coq_2eInit_2eDatatypes_2eprod_24134502: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_24134502___24a9,type,
    c_24__case__Coq_2eInit_2eDatatypes_2eprod_24134502___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24139518,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24139518: $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24139518___24a3,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24139518___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24141708,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24141708: $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24141708___24a2,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24141708___24a2: $i > $i > $i ).

thf(tp_c_24__case__Stlc_2eSTLC_2etm_24112908,type,
    c_24__case__Stlc_2eSTLC_2etm_24112908: $i ).

thf(tp_c_24__case__Stlc_2eSTLC_2etm_24112908___24a5,type,
    c_24__case__Stlc_2eSTLC_2etm_24112908___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__fix__113301__v__CANONICAL__0,type,
    c_24__fix__113301__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__113301__v__CANONICAL__0___24a3,type,
    c_24__fix__113301__v__CANONICAL__0___24a3: $i > $i > $i > $i ).

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thf(tp_c_24__fix__128730__v__CANONICAL__1___24a3,type,
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thf(tp_c_24__fix__141724__v__CANONICAL__0,type,
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thf(tp_c_24__fix__141724__v__CANONICAL__0___24a1,type,
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thf(tp_c_24__fix__33998__v__CANONICAL__0,type,
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thf(tp_c_24__fix__33998__v__CANONICAL__0___24a2,type,
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thf(tp_c_24__fix__34144__v__CANONICAL__0,type,
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thf(tp_c_24__fix__34144__v__CANONICAL__0___24a2,type,
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thf(tp_c_24__fix__34230__v__CANONICAL__0,type,
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thf(tp_c_24__fix__34230__v__CANONICAL__0___24a2,type,
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thf(tp_c_24__fix__34653__v__CANONICAL__0,type,
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thf(tp_c_24__fix__34653__v__CANONICAL__0___24a2,type,
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thf(tp_c_24__fix__34955__v__CANONICAL__0,type,
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thf(tp_c_24__fix__34955__v__CANONICAL__0___24a2,type,
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thf(tp_c_24__lam__142139,type,
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thf(tp_c_24__lam__142139___24a3,type,
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thf(tp_c_24__lam__142139___24a4,type,
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thf(tp_c_24__lam__142147,type,
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thf(tp_c_24__lam__142147___24a3,type,
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thf(tp_c_24__lam__142147___24a4,type,
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thf(tp_c_24__lam__149467,type,
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thf(tp_c_24__lam__149467___24a1,type,
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thf(tp_c_24__lam__149467___24a2,type,
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thf(tp_c_24__lam__149529,type,
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thf(tp_c_24__lam__149529___24a1,type,
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thf(tp_c_24__lam__149529___24a2,type,
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thf(tp_c_24__lam__31563,type,
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thf(tp_c_24__lam__31563___24a6,type,
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thf(tp_c_24__lam__31563___24a7,type,
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thf(tp_c_24__lam__32206,type,
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thf(tp_c_24__lam__32206___24a5,type,
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thf(tp_c_24__lam__32206___24a6,type,
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thf(tp_c_24__let__var__6__p__139567__139570___24a4,type,
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thf(tp_c_24__prop__141636___24a4,type,
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thf(tp_c_24__prop__141637,type,
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thf(tp_c_24__prop__141637___24a3,type,
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thf(tp_c_24__prop__141638,type,
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thf(tp_c_24__prop__141638___24a3,type,
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thf(tp_c_24__prop__141639,type,
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thf(tp_c_24__prop__141639___24a3,type,
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thf(tp_c_24__prop__141640,type,
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thf(tp_c_24__prop__141640___24a3,type,
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thf(tp_c_24__prop__141641,type,
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thf(tp_c_24__prop__141641___24a3,type,
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thf(tp_c_24__prop__141642,type,
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thf(tp_c_24__prop__141642___24a2,type,
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thf(tp_c_24__prop__141656,type,
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thf(tp_c_24__prop__141656___24a2,type,
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thf(tp_c_24__prop__141657,type,
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thf(tp_c_24__prop__141657___24a3,type,
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thf(tp_c_24__prop__141658,type,
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thf(tp_c_24__prop__32,type,
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thf(tp_c_24__prop__33,type,
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thf(tp_c_24__prop__34,type,
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thf(tp_c_24__type__132361___24a17,type,
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thf(tp_c_24__type__132574___24a17,type,
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thf(tp_c_24__type__132574___24t,type,
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thf(tp_c_24__type__132787___24a17,type,
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thf(tp_c_24__type__132787___24t,type,
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thf(tp_c_24__type__133213___24a17,type,
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thf(tp_c_24__type__133816___24t,type,
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thf(tp_c_24__type__134247___24t,type,
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thf(tp_c_24__type__134297___24a7,type,
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thf(tp_c_24__type__134297___24t,type,
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thf(tp_c_24__type__134347___24t,type,
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thf(tp_c_24__type__134389___24a7,type,
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thf(tp_c_24__type__134389___24t,type,
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thf(tp_c_24__type__134439___24t,type,
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thf(tp_c_24__type__134515___24t,type,
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thf(tp_c_24__type__134723___24a7,type,
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thf(tp_c_24__type__134767___24t,type,
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thf(tp_c_24__type__134803___24t,type,
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thf(tp_c_24__type__134866___24t,type,
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thf(tp_c_24__type__134982___24a4,type,
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thf(tp_c_24__type__134982___24t,type,
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thf(tp_c_24__type__135084,type,
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thf(tp_c_24__type__136804,type,
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thf(tp_c_24__type__136804___24t,type,
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thf(tp_c_24__type__137546,type,
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thf(tp_c_24__type__137546___24t,type,
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thf(tp_c_24__type__137644,type,
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thf(tp_c_24__type__138174___24a1,type,
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thf(tp_c_24__type__138174___24t,type,
    c_24__type__138174___24t: $i > $i > $o ).

thf(tp_c_24__type__138270___24a6,type,
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thf(tp_c_24__type__138270___24t,type,
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thf(tp_c_24__type__138466___24a10,type,
    c_24__type__138466___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__138466___24t,type,
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thf(tp_c_24__type__138559___24a10,type,
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thf(tp_c_24__type__138559___24t,type,
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thf(tp_c_24__type__138652___24a10,type,
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thf(tp_c_24__type__138734___24a10,type,
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thf(tp_c_24__type__138734___24t,type,
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thf(tp_c_24__type__138827___24a10,type,
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thf(tp_c_24__type__138827___24t,type,
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thf(tp_c_24__type__138909___24t,type,
    c_24__type__138909___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

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thf(tp_c_24__type__139219___24t,type,
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thf(tp_c_24__type__139282___24a8,type,
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thf(tp_c_24__type__139754___24t,type,
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thf(tp_c_24__type__139793___24t,type,
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thf(tp_c_24__type__139832___24a6,type,
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thf(tp_c_24__type__139832___24t,type,
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thf(tp_c_24__type__139936___24a4,type,
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thf(tp_c_24__type__139936___24t,type,
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thf(tp_c_24__type__139959___24t,type,
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thf(tp_c_24__type__139982___24t,type,
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thf(tp_c_24__type__140005___24a4,type,
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thf(tp_c_24__type__140005___24t,type,
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thf(tp_c_24__type__140023___24a4,type,
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thf(tp_c_24__type__140023___24t,type,
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thf(tp_c_24__type__140049___24a4,type,
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thf(tp_c_24__type__140049___24t,type,
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thf(tp_c_24__type__140067___24a4,type,
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thf(tp_c_24__type__140067___24t,type,
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    c_24__type__140950___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__141061___24a13,type,
    c_24__type__141061___24a13: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__141061___24t,type,
    c_24__type__141061___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__141071,type,
    c_24__type__141071: $i ).

thf(tp_c_24__type__141071___24t,type,
    c_24__type__141071___24t: $i > $o ).

thf(tp_c_24__type__141300,type,
    c_24__type__141300: $i ).

thf(tp_c_24__type__141300___24t,type,
    c_24__type__141300___24t: $i > $o ).

thf(tp_c_24__type__141341,type,
    c_24__type__141341: $i ).

thf(tp_c_24__type__141341___24t,type,
    c_24__type__141341___24t: $i > $o ).

thf(tp_c_24__type__141351___24a2,type,
    c_24__type__141351___24a2: $i > $i > $i ).

thf(tp_c_24__type__141351___24t,type,
    c_24__type__141351___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__141399,type,
    c_24__type__141399: $i ).

thf(tp_c_24__type__141399___24t,type,
    c_24__type__141399___24t: $i > $o ).

thf(tp_c_24__type__141515___24a3,type,
    c_24__type__141515___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__141515___24t,type,
    c_24__type__141515___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__141744,type,
    c_24__type__141744: $i ).

thf(tp_c_24__type__141744___24t,type,
    c_24__type__141744___24t: $i > $o ).

thf(tp_c_24__type__141886___24a3,type,
    c_24__type__141886___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__141886___24t,type,
    c_24__type__141886___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__141907___24a3,type,
    c_24__type__141907___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__141907___24t,type,
    c_24__type__141907___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__141942___24a5,type,
    c_24__type__141942___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__141942___24t,type,
    c_24__type__141942___24t: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__141950___24a5,type,
    c_24__type__141950___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__141950___24t,type,
    c_24__type__141950___24t: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__141952,type,
    c_24__type__141952: $i ).

thf(tp_c_24__type__141952___24t,type,
    c_24__type__141952___24t: $i > $o ).

thf(tp_c_24__type__141957,type,
    c_24__type__141957: $i ).

thf(tp_c_24__type__141957___24t,type,
    c_24__type__141957___24t: $i > $o ).

thf(tp_c_24__type__141959,type,
    c_24__type__141959: $i ).

thf(tp_c_24__type__141959___24t,type,
    c_24__type__141959___24t: $i > $o ).

thf(tp_c_24__type__141966___24a1,type,
    c_24__type__141966___24a1: $i > $i ).

thf(tp_c_24__type__141966___24t,type,
    c_24__type__141966___24t: $i > $i > $o ).

thf(tp_c_24__type__141979,type,
    c_24__type__141979: $i ).

thf(tp_c_24__type__141979___24t,type,
    c_24__type__141979___24t: $i > $o ).

thf(tp_c_24__type__141984___24a1,type,
    c_24__type__141984___24a1: $i > $i ).

thf(tp_c_24__type__141984___24t,type,
    c_24__type__141984___24t: $i > $i > $o ).

thf(tp_c_24__type__141989,type,
    c_24__type__141989: $i ).

thf(tp_c_24__type__141989___24t,type,
    c_24__type__141989___24t: $i > $o ).

thf(tp_c_24__type__142014,type,
    c_24__type__142014: $i ).

thf(tp_c_24__type__142014___24t,type,
    c_24__type__142014___24t: $i > $o ).

thf(tp_c_24__type__142079,type,
    c_24__type__142079: $i ).

thf(tp_c_24__type__142079___24t,type,
    c_24__type__142079___24t: $i > $o ).

thf(tp_c_24__type__142087,type,
    c_24__type__142087: $i ).

thf(tp_c_24__type__142087___24t,type,
    c_24__type__142087___24t: $i > $o ).

thf(tp_c_24__type__142090,type,
    c_24__type__142090: $i ).

thf(tp_c_24__type__142090___24t,type,
    c_24__type__142090___24t: $i > $o ).

thf(tp_c_24__type__142093,type,
    c_24__type__142093: $i ).

thf(tp_c_24__type__142093___24t,type,
    c_24__type__142093___24t: $i > $o ).

thf(tp_c_24__type__142103___24a2,type,
    c_24__type__142103___24a2: $i > $i > $i ).

thf(tp_c_24__type__142103___24t,type,
    c_24__type__142103___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__142108___24a2,type,
    c_24__type__142108___24a2: $i > $i > $i ).

thf(tp_c_24__type__142108___24t,type,
    c_24__type__142108___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__142114___24a2,type,
    c_24__type__142114___24a2: $i > $i > $i ).

thf(tp_c_24__type__142114___24t,type,
    c_24__type__142114___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__142119___24a2,type,
    c_24__type__142119___24a2: $i > $i > $i ).

thf(tp_c_24__type__142119___24t,type,
    c_24__type__142119___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__142131___24a2,type,
    c_24__type__142131___24a2: $i > $i > $i ).

thf(tp_c_24__type__142131___24t,type,
    c_24__type__142131___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__142151___24a1,type,
    c_24__type__142151___24a1: $i > $i ).

thf(tp_c_24__type__142151___24t,type,
    c_24__type__142151___24t: $i > $i > $o ).

thf(tp_c_24__type__142162,type,
    c_24__type__142162: $i ).

thf(tp_c_24__type__142162___24t,type,
    c_24__type__142162___24t: $i > $o ).

thf(tp_c_24__type__142180,type,
    c_24__type__142180: $i ).

thf(tp_c_24__type__142180___24t,type,
    c_24__type__142180___24t: $i > $o ).

thf(tp_c_24__type__142183,type,
    c_24__type__142183: $i ).

thf(tp_c_24__type__142183___24t,type,
    c_24__type__142183___24t: $i > $o ).

thf(tp_c_24__type__142222,type,
    c_24__type__142222: $i ).

thf(tp_c_24__type__142222___24t,type,
    c_24__type__142222___24t: $i > $o ).

thf(tp_c_24__type__142233,type,
    c_24__type__142233: $i ).

thf(tp_c_24__type__142233___24t,type,
    c_24__type__142233___24t: $i > $o ).

thf(tp_c_24__type__142258,type,
    c_24__type__142258: $i ).

thf(tp_c_24__type__142258___24t,type,
    c_24__type__142258___24t: $i > $o ).

thf(tp_c_24__type__142306,type,
    c_24__type__142306: $i ).

thf(tp_c_24__type__142306___24t,type,
    c_24__type__142306___24t: $i > $o ).

thf(tp_c_24__type__142360___24a3,type,
    c_24__type__142360___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__142360___24t,type,
    c_24__type__142360___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__142384___24a3,type,
    c_24__type__142384___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__142384___24t,type,
    c_24__type__142384___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__142431___24a5,type,
    c_24__type__142431___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__142431___24t,type,
    c_24__type__142431___24t: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__142466___24a3,type,
    c_24__type__142466___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__142466___24t,type,
    c_24__type__142466___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__142468,type,
    c_24__type__142468: $i ).

thf(tp_c_24__type__142468___24t,type,
    c_24__type__142468___24t: $i > $o ).

thf(tp_c_24__type__142484,type,
    c_24__type__142484: $i ).

thf(tp_c_24__type__142484___24t,type,
    c_24__type__142484___24t: $i > $o ).

thf(tp_c_24__type__143023,type,
    c_24__type__143023: $i ).

thf(tp_c_24__type__143023___24t,type,
    c_24__type__143023___24t: $i > $o ).

thf(tp_c_24__type__143026,type,
    c_24__type__143026: $i ).

thf(tp_c_24__type__143026___24t,type,
    c_24__type__143026___24t: $i > $o ).

thf(tp_c_24__type__143030,type,
    c_24__type__143030: $i ).

thf(tp_c_24__type__143030___24t,type,
    c_24__type__143030___24t: $i > $o ).

thf(tp_c_24__type__143033,type,
    c_24__type__143033: $i ).

thf(tp_c_24__type__143033___24t,type,
    c_24__type__143033___24t: $i > $o ).

thf(tp_c_24__type__143051,type,
    c_24__type__143051: $i ).

thf(tp_c_24__type__143051___24t,type,
    c_24__type__143051___24t: $i > $o ).

thf(tp_c_24__type__143077,type,
    c_24__type__143077: $i ).

thf(tp_c_24__type__143077___24t,type,
    c_24__type__143077___24t: $i > $o ).

thf(tp_c_24__type__143306___24a6,type,
    c_24__type__143306___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__143306___24t,type,
    c_24__type__143306___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__143335___24a6,type,
    c_24__type__143335___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__143335___24t,type,
    c_24__type__143335___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__143372___24a6,type,
    c_24__type__143372___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__143372___24t,type,
    c_24__type__143372___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__143444___24a6,type,
    c_24__type__143444___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__143444___24t,type,
    c_24__type__143444___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__143469___24a6,type,
    c_24__type__143469___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__143469___24t,type,
    c_24__type__143469___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__143511___24a4,type,
    c_24__type__143511___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__type__143511___24t,type,
    c_24__type__143511___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__143562___24a4,type,
    c_24__type__143562___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__type__143562___24t,type,
    c_24__type__143562___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__144097___24a22,type,
    c_24__type__144097___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__144097___24t,type,
    c_24__type__144097___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__144443___24a22,type,
    c_24__type__144443___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__144443___24t,type,
    c_24__type__144443___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__144789___24a22,type,
    c_24__type__144789___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__144789___24t,type,
    c_24__type__144789___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__145112___24a22,type,
    c_24__type__145112___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__145112___24t,type,
    c_24__type__145112___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__145458___24a22,type,
    c_24__type__145458___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__145458___24t,type,
    c_24__type__145458___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__145804___24a22,type,
    c_24__type__145804___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__145804___24t,type,
    c_24__type__145804___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__146150___24a22,type,
    c_24__type__146150___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__146150___24t,type,
    c_24__type__146150___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__146496___24a22,type,
    c_24__type__146496___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__146496___24t,type,
    c_24__type__146496___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__146842___24a22,type,
    c_24__type__146842___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__146842___24t,type,
    c_24__type__146842___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__147165___24a22,type,
    c_24__type__147165___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__147165___24t,type,
    c_24__type__147165___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__147511___24a22,type,
    c_24__type__147511___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__147511___24t,type,
    c_24__type__147511___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__147857___24a22,type,
    c_24__type__147857___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__147857___24t,type,
    c_24__type__147857___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__148180___24a22,type,
    c_24__type__148180___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__148180___24t,type,
    c_24__type__148180___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__148503___24a22,type,
    c_24__type__148503___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__148503___24t,type,
    c_24__type__148503___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__148849___24a22,type,
    c_24__type__148849___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__148849___24t,type,
    c_24__type__148849___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__148858,type,
    c_24__type__148858: $i ).

thf(tp_c_24__type__148858___24t,type,
    c_24__type__148858___24t: $i > $o ).

thf(tp_c_24__type__148861,type,
    c_24__type__148861: $i ).

thf(tp_c_24__type__148861___24t,type,
    c_24__type__148861___24t: $i > $o ).

thf(tp_c_24__type__148864,type,
    c_24__type__148864: $i ).

thf(tp_c_24__type__148864___24t,type,
    c_24__type__148864___24t: $i > $o ).

thf(tp_c_24__type__148888,type,
    c_24__type__148888: $i ).

thf(tp_c_24__type__148888___24t,type,
    c_24__type__148888___24t: $i > $o ).

thf(tp_c_24__type__148903,type,
    c_24__type__148903: $i ).

thf(tp_c_24__type__148903___24t,type,
    c_24__type__148903___24t: $i > $o ).

thf(tp_c_24__type__148946___24a4,type,
    c_24__type__148946___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__type__148946___24t,type,
    c_24__type__148946___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149007___24a3,type,
    c_24__type__149007___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__149007___24t,type,
    c_24__type__149007___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149042___24a3,type,
    c_24__type__149042___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__149042___24t,type,
    c_24__type__149042___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149077___24a3,type,
    c_24__type__149077___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__149077___24t,type,
    c_24__type__149077___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149080,type,
    c_24__type__149080: $i ).

thf(tp_c_24__type__149080___24t,type,
    c_24__type__149080___24t: $i > $o ).

thf(tp_c_24__type__149108___24a4,type,
    c_24__type__149108___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__type__149108___24t,type,
    c_24__type__149108___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149159___24a6,type,
    c_24__type__149159___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__149159___24t,type,
    c_24__type__149159___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149186___24a4,type,
    c_24__type__149186___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__type__149186___24t,type,
    c_24__type__149186___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149237___24a6,type,
    c_24__type__149237___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__149237___24t,type,
    c_24__type__149237___24t: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149243,type,
    c_24__type__149243: $i ).

thf(tp_c_24__type__149243___24t,type,
    c_24__type__149243___24t: $i > $o ).

thf(tp_c_24__type__149255,type,
    c_24__type__149255: $i ).

thf(tp_c_24__type__149255___24t,type,
    c_24__type__149255___24t: $i > $o ).

thf(tp_c_24__type__149258___24a1,type,
    c_24__type__149258___24a1: $i > $i ).

thf(tp_c_24__type__149258___24t,type,
    c_24__type__149258___24t: $i > $i > $o ).

thf(tp_c_24__type__149366___24a4,type,
    c_24__type__149366___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__type__149366___24t,type,
    c_24__type__149366___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149375___24a4,type,
    c_24__type__149375___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__type__149375___24t,type,
    c_24__type__149375___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__149404,type,
    c_24__type__149404: $i ).

thf(tp_c_24__type__149404___24t,type,
    c_24__type__149404___24t: $i > $o ).

thf(tp_c_24__type__149420,type,
    c_24__type__149420: $i ).

thf(tp_c_24__type__149420___24t,type,
    c_24__type__149420___24t: $i > $o ).

thf(tp_c_24__type__149423,type,
    c_24__type__149423: $i ).

thf(tp_c_24__type__149423___24t,type,
    c_24__type__149423___24t: $i > $o ).

thf(tp_c_24__type__149479,type,
    c_24__type__149479: $i ).

thf(tp_c_24__type__149479___24t,type,
    c_24__type__149479___24t: $i > $o ).

thf(tp_c_24__type__149484___24a1,type,
    c_24__type__149484___24a1: $i > $i ).

thf(tp_c_24__type__149484___24t,type,
    c_24__type__149484___24t: $i > $i > $o ).

thf(tp_c_24__type__149541,type,
    c_24__type__149541: $i ).

thf(tp_c_24__type__149541___24t,type,
    c_24__type__149541___24t: $i > $o ).

thf(tp_c_24__type__149546___24a1,type,
    c_24__type__149546___24a1: $i > $i ).

thf(tp_c_24__type__149546___24t,type,
    c_24__type__149546___24t: $i > $i > $o ).

thf(tp_c_24__type__149579,type,
    c_24__type__149579: $i ).

thf(tp_c_24__type__149579___24t,type,
    c_24__type__149579___24t: $i > $o ).

thf(tp_c_24__type__150184,type,
    c_24__type__150184: $i ).

thf(tp_c_24__type__150184___24t,type,
    c_24__type__150184___24t: $i > $o ).

thf(tp_c_24__type__150500,type,
    c_24__type__150500: $i ).

thf(tp_c_24__type__150500___24t,type,
    c_24__type__150500___24t: $i > $o ).

thf(tp_c_24__type__170,type,
    c_24__type__170: $i ).

thf(tp_c_24__type__170___24t,type,
    c_24__type__170___24t: $i > $o ).

thf(tp_c_24__type__172,type,
    c_24__type__172: $i ).

thf(tp_c_24__type__172___24t,type,
    c_24__type__172___24t: $i > $o ).

thf(tp_c_24__type__294,type,
    c_24__type__294: $i ).

thf(tp_c_24__type__294___24t,type,
    c_24__type__294___24t: $i > $o ).

thf(tp_c_24__type__296,type,
    c_24__type__296: $i ).

thf(tp_c_24__type__296___24t,type,
    c_24__type__296___24t: $i > $o ).

thf(tp_c_24__type__299___24a1,type,
    c_24__type__299___24a1: $i > $i ).

thf(tp_c_24__type__299___24t,type,
    c_24__type__299___24t: $i > $i > $o ).

thf(tp_c_24__type__30176,type,
    c_24__type__30176: $i ).

thf(tp_c_24__type__30176___24t,type,
    c_24__type__30176___24t: $i > $o ).

thf(tp_c_24__type__30183,type,
    c_24__type__30183: $i ).

thf(tp_c_24__type__30183___24t,type,
    c_24__type__30183___24t: $i > $o ).

thf(tp_c_24__type__30195,type,
    c_24__type__30195: $i ).

thf(tp_c_24__type__30195___24t,type,
    c_24__type__30195___24t: $i > $o ).

thf(tp_c_24__type__30197,type,
    c_24__type__30197: $i ).

thf(tp_c_24__type__30197___24t,type,
    c_24__type__30197___24t: $i > $o ).

thf(tp_c_24__type__30200___24a1,type,
    c_24__type__30200___24a1: $i > $i ).

thf(tp_c_24__type__30200___24t,type,
    c_24__type__30200___24t: $i > $i > $o ).

thf(tp_c_24__type__30212,type,
    c_24__type__30212: $i ).

thf(tp_c_24__type__30212___24t,type,
    c_24__type__30212___24t: $i > $o ).

thf(tp_c_24__type__30231,type,
    c_24__type__30231: $i ).

thf(tp_c_24__type__30231___24t,type,
    c_24__type__30231___24t: $i > $o ).

thf(tp_c_24__type__30252,type,
    c_24__type__30252: $i ).

thf(tp_c_24__type__30252___24t,type,
    c_24__type__30252___24t: $i > $o ).

thf(tp_c_24__type__311___24a1,type,
    c_24__type__311___24a1: $i > $i ).

thf(tp_c_24__type__311___24t,type,
    c_24__type__311___24t: $i > $i > $o ).

thf(tp_c_24__type__31247,type,
    c_24__type__31247: $i ).

thf(tp_c_24__type__31247___24t,type,
    c_24__type__31247___24t: $i > $o ).

thf(tp_c_24__type__31263,type,
    c_24__type__31263: $i ).

thf(tp_c_24__type__31263___24t,type,
    c_24__type__31263___24t: $i > $o ).

thf(tp_c_24__type__31495,type,
    c_24__type__31495: $i ).

thf(tp_c_24__type__31495___24t,type,
    c_24__type__31495___24t: $i > $o ).

thf(tp_c_24__type__31633___24a2,type,
    c_24__type__31633___24a2: $i > $i > $i ).

thf(tp_c_24__type__31633___24t,type,
    c_24__type__31633___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__31685,type,
    c_24__type__31685: $i ).

thf(tp_c_24__type__31685___24t,type,
    c_24__type__31685___24t: $i > $o ).

thf(tp_c_24__type__31760___24a5,type,
    c_24__type__31760___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__31760___24t,type,
    c_24__type__31760___24t: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__31779___24a5,type,
    c_24__type__31779___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__31779___24t,type,
    c_24__type__31779___24t: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__31799,type,
    c_24__type__31799: $i ).

thf(tp_c_24__type__31799___24t,type,
    c_24__type__31799___24t: $i > $o ).

thf(tp_c_24__type__31804___24a1,type,
    c_24__type__31804___24a1: $i > $i ).

thf(tp_c_24__type__31804___24t,type,
    c_24__type__31804___24t: $i > $i > $o ).

thf(tp_c_24__type__31978,type,
    c_24__type__31978: $i ).

thf(tp_c_24__type__31978___24t,type,
    c_24__type__31978___24t: $i > $o ).

thf(tp_c_24__type__32189___24a2,type,
    c_24__type__32189___24a2: $i > $i > $i ).

thf(tp_c_24__type__32189___24t,type,
    c_24__type__32189___24t: $i > $i > $i > $o ).

thf(tp_c_24__type__32246,type,
    c_24__type__32246: $i ).

thf(tp_c_24__type__32246___24t,type,
    c_24__type__32246___24t: $i > $o ).

thf(tp_c_24__type__323___24a1,type,
    c_24__type__323___24a1: $i > $i ).

thf(tp_c_24__type__323___24t,type,
    c_24__type__323___24t: $i > $i > $o ).

thf(tp_c_24__type__32678,type,
    c_24__type__32678: $i ).

thf(tp_c_24__type__32678___24t,type,
    c_24__type__32678___24t: $i > $o ).

thf(tp_c_24__type__33403,type,
    c_24__type__33403: $i ).

thf(tp_c_24__type__33403___24t,type,
    c_24__type__33403___24t: $i > $o ).

thf(tp_c_24__type__33416,type,
    c_24__type__33416: $i ).

thf(tp_c_24__type__33416___24t,type,
    c_24__type__33416___24t: $i > $o ).

thf(tp_c_24__type__33421,type,
    c_24__type__33421: $i ).

thf(tp_c_24__type__33421___24t,type,
    c_24__type__33421___24t: $i > $o ).

thf(tp_c_24__type__33424,type,
    c_24__type__33424: $i ).

thf(tp_c_24__type__33424___24t,type,
    c_24__type__33424___24t: $i > $o ).

thf(tp_c_24__type__33426,type,
    c_24__type__33426: $i ).

thf(tp_c_24__type__33426___24t,type,
    c_24__type__33426___24t: $i > $o ).

thf(tp_c_24__type__33429,type,
    c_24__type__33429: $i ).

thf(tp_c_24__type__33429___24t,type,
    c_24__type__33429___24t: $i > $o ).

thf(tp_c_24__type__33788,type,
    c_24__type__33788: $i ).

thf(tp_c_24__type__33788___24t,type,
    c_24__type__33788___24t: $i > $o ).

thf(tp_c_24__type__33790,type,
    c_24__type__33790: $i ).

thf(tp_c_24__type__33790___24t,type,
    c_24__type__33790___24t: $i > $o ).

thf(tp_c_24__type__33847,type,
    c_24__type__33847: $i ).

thf(tp_c_24__type__33847___24t,type,
    c_24__type__33847___24t: $i > $o ).

thf(tp_c_24__type__346___24a1,type,
    c_24__type__346___24a1: $i > $i ).

thf(tp_c_24__type__346___24t,type,
    c_24__type__346___24t: $i > $i > $o ).

thf(tp_c_24__type__35532,type,
    c_24__type__35532: $i ).

thf(tp_c_24__type__35532___24t,type,
    c_24__type__35532___24t: $i > $o ).

thf(tp_c_24__type__35537,type,
    c_24__type__35537: $i ).

thf(tp_c_24__type__35537___24t,type,
    c_24__type__35537___24t: $i > $o ).

thf(tp_c_24__type__35656,type,
    c_24__type__35656: $i ).

thf(tp_c_24__type__35656___24t,type,
    c_24__type__35656___24t: $i > $o ).

thf(tp_c_24__type__35968,type,
    c_24__type__35968: $i ).

thf(tp_c_24__type__35968___24t,type,
    c_24__type__35968___24t: $i > $o ).

thf(tp_c_24__type__35971,type,
    c_24__type__35971: $i ).

thf(tp_c_24__type__35971___24t,type,
    c_24__type__35971___24t: $i > $o ).

thf(tp_c_24__type__35976,type,
    c_24__type__35976: $i ).

thf(tp_c_24__type__35976___24t,type,
    c_24__type__35976___24t: $i > $o ).

thf(tp_c_24__type__35979,type,
    c_24__type__35979: $i ).

thf(tp_c_24__type__35979___24t,type,
    c_24__type__35979___24t: $i > $o ).

thf(tp_c_24__type__36289,type,
    c_24__type__36289: $i ).

thf(tp_c_24__type__36289___24t,type,
    c_24__type__36289___24t: $i > $o ).

thf(tp_c_24__type__36302,type,
    c_24__type__36302: $i ).

thf(tp_c_24__type__36302___24t,type,
    c_24__type__36302___24t: $i > $o ).

thf(tp_c_24__type__36304,type,
    c_24__type__36304: $i ).

thf(tp_c_24__type__36304___24t,type,
    c_24__type__36304___24t: $i > $o ).

thf(tp_c_24__type__36315,type,
    c_24__type__36315: $i ).

thf(tp_c_24__type__36315___24t,type,
    c_24__type__36315___24t: $i > $o ).

thf(tp_c_24__type__36328,type,
    c_24__type__36328: $i ).

thf(tp_c_24__type__36328___24t,type,
    c_24__type__36328___24t: $i > $o ).

thf(tp_c_24__type__37,type,
    c_24__type__37: $i ).

thf(tp_c_24__type__37___24t,type,
    c_24__type__37___24t: $i > $o ).

thf(tp_c_24__type__381___24a1,type,
    c_24__type__381___24a1: $i > $i ).

thf(tp_c_24__type__381___24t,type,
    c_24__type__381___24t: $i > $i > $o ).

thf(tp_c_24__type__568,type,
    c_24__type__568: $i ).

thf(tp_c_24__type__568___24t,type,
    c_24__type__568___24t: $i > $o ).

thf(tp_c_24__type__571,type,
    c_24__type__571: $i ).

thf(tp_c_24__type__571___24t,type,
    c_24__type__571___24t: $i > $o ).

thf(tp_c_24__type__576,type,
    c_24__type__576: $i ).

thf(tp_c_24__type__576___24t,type,
    c_24__type__576___24t: $i > $o ).

thf(tp_c_24__type__581,type,
    c_24__type__581: $i ).

thf(tp_c_24__type__581___24t,type,
    c_24__type__581___24t: $i > $o ).

thf(tp_c_24__type__9,type,
    c_24__type__9: $i ).

thf(tp_c_24__type__99,type,
    c_24__type__99: $i ).

thf(tp_c_24__type__99___24t,type,
    c_24__type__99___24t: $i > $o ).

thf(tp_c_24__type__9___24t,type,
    c_24__type__9___24t: $i > $o ).

thf(tp_c_3d___24a1,type,
    c_3d___24a1: $i > $i ).

thf(tp_happ,type,
    happ: $i > $i > $i ).

thf(tp_p,type,
    p: $i > $o ).

thf(tp_sK1_SY25,type,
    sK1_SY25: $i > $i ).

thf(tp_sK2_SY58,type,
    sK2_SY58: $i > $i ).

thf(tp_t,type,
    t: $i > $i > $o ).

thf(1095,axiom,
    cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Stlc.STLC.step_example2') ).

thf(1096,axiom,
    cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Stlc.STLC.step_example1') ).

thf(1246,axiom,
    cCoq_2eStrings_2eString_2estring___24t @ cStlc_2eSTLC_2ex,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Stlc.STLC.x') ).

thf(1254,axiom,
    cType___24t @ cStlc_2eSTLC_2etm,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Stlc.STLC.tm') ).

thf(1262,axiom,
    cStlc_2eSTLC_2ety___24t @ cStlc_2eSTLC_2eBool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Stlc.STLC.Bool') ).

thf(2381,axiom,
    ! [VX583: $i] :
      ( ( cStlc_2eSTLC_2ety___24t @ VX583 )
     => ( ( VX583 = cStlc_2eSTLC_2eBool )
        | ? [Vvar__0___24Anonymous__584: $i] :
            ( ( cStlc_2eSTLC_2ety___24t @ Vvar__0___24Anonymous__584 )
            & ? [Vvar__1___24Anonymous__585: $i] :
                ( ( cStlc_2eSTLC_2ety___24t @ Vvar__1___24Anonymous__585 )
                & ( VX583
                  = ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__584 @ Vvar__1___24Anonymous__585 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_inversion_Stlc.STLC.ty') ).

thf(2564,axiom,
    ! [Vvar__0___24Anonymous__550: $i,Vvar__0___24Anonymous__551: $i] :
      ( ( ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__550 )
        = ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__551 ) )
     => ( Vvar__0___24Anonymous__550 = Vvar__0___24Anonymous__551 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_inj_Stlc.STLC.var') ).

thf(2566,axiom,
    ! [Vvar__0___24Anonymous__552: $i,Vvar__0___24Anonymous__553: $i,Vvar__1___24Anonymous__554: $i,Vvar__1___24Anonymous__555: $i] :
      ( ( ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__552 @ Vvar__1___24Anonymous__554 )
        = ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__553 @ Vvar__1___24Anonymous__555 ) )
     => ( ( Vvar__1___24Anonymous__554 = Vvar__1___24Anonymous__555 )
        & ( Vvar__0___24Anonymous__552 = Vvar__0___24Anonymous__553 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_inj_Stlc.STLC.app') ).

thf(2567,axiom,
    ! [Vvar__0___24Anonymous__556: $i,Vvar__0___24Anonymous__557: $i,Vvar__1___24Anonymous__558: $i,Vvar__1___24Anonymous__559: $i,Vvar__2___24Anonymous__560: $i,Vvar__2___24Anonymous__561: $i] :
      ( ( ( cStlc_2eSTLC_2eabs___24a3 @ Vvar__0___24Anonymous__556 @ Vvar__1___24Anonymous__558 @ Vvar__2___24Anonymous__560 )
        = ( cStlc_2eSTLC_2eabs___24a3 @ Vvar__0___24Anonymous__557 @ Vvar__1___24Anonymous__559 @ Vvar__2___24Anonymous__561 ) )
     => ( ( Vvar__2___24Anonymous__560 = Vvar__2___24Anonymous__561 )
        & ( Vvar__1___24Anonymous__558 = Vvar__1___24Anonymous__559 )
        & ( Vvar__0___24Anonymous__556 = Vvar__0___24Anonymous__557 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_inj_Stlc.STLC.abs') ).

thf(2568,axiom,
    ! [Vvar__0___24Anonymous__588: $i,Vvar__0___24Anonymous__589: $i,Vvar__1___24Anonymous__590: $i,Vvar__1___24Anonymous__591: $i] :
      ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__588 @ Vvar__1___24Anonymous__590 )
        = ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__589 @ Vvar__1___24Anonymous__591 ) )
     => ( ( Vvar__1___24Anonymous__590 = Vvar__1___24Anonymous__591 )
        & ( Vvar__0___24Anonymous__588 = Vvar__0___24Anonymous__589 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_inj_Stlc.STLC.Arrow') ).

thf(2763,axiom,
    ! [Vvar__0___24Anonymous__547: $i,Vvar__0___24Anonymous__548: $i,Vvar__1___24Anonymous__549: $i] :
      ( ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__547 )
     != ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__548 @ Vvar__1___24Anonymous__549 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_discrim_Stlc.STLC.var$Stlc.STLC.app') ).

thf(2764,axiom,
    ! [Vvar__0___24Anonymous__586: $i,Vvar__1___24Anonymous__587: $i] :
      ( cStlc_2eSTLC_2eBool
     != ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__586 @ Vvar__1___24Anonymous__587 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_discrim_Stlc.STLC.Bool$Stlc.STLC.Arrow') ).

thf(3119,conjecture,
    cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

thf(3120,negated_conjecture,
    ( ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[3119]) ).

thf(3121,plain,
    ( ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[3120]) ).

thf(3122,plain,
    ( ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1095]) ).

thf(3123,plain,
    ( ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1096]) ).

thf(3124,plain,
    ( ( cCoq_2eStrings_2eString_2estring___24t @ cStlc_2eSTLC_2ex )
    = $true ),
    inference(unfold_def,[status(thm)],[1246]) ).

thf(3125,plain,
    ( ( cType___24t @ cStlc_2eSTLC_2etm )
    = $true ),
    inference(unfold_def,[status(thm)],[1254]) ).

thf(3126,plain,
    ( ( cStlc_2eSTLC_2ety___24t @ cStlc_2eSTLC_2eBool )
    = $true ),
    inference(unfold_def,[status(thm)],[1262]) ).

thf(3127,plain,
    ( ( ! [VX583: $i] :
          ( ( cStlc_2eSTLC_2ety___24t @ VX583 )
         => ( ( VX583 = cStlc_2eSTLC_2eBool )
            | ? [Vvar__0___24Anonymous__584: $i] :
                ( ( cStlc_2eSTLC_2ety___24t @ Vvar__0___24Anonymous__584 )
                & ? [Vvar__1___24Anonymous__585: $i] :
                    ( ( cStlc_2eSTLC_2ety___24t @ Vvar__1___24Anonymous__585 )
                    & ( VX583
                      = ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__584 @ Vvar__1___24Anonymous__585 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2381]) ).

thf(3128,plain,
    ( ( ! [Vvar__0___24Anonymous__550: $i,Vvar__0___24Anonymous__551: $i] :
          ( ( ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__550 )
            = ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__551 ) )
         => ( Vvar__0___24Anonymous__550 = Vvar__0___24Anonymous__551 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2564]) ).

thf(3129,plain,
    ( ( ! [Vvar__0___24Anonymous__552: $i,Vvar__0___24Anonymous__553: $i,Vvar__1___24Anonymous__554: $i,Vvar__1___24Anonymous__555: $i] :
          ( ( ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__552 @ Vvar__1___24Anonymous__554 )
            = ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__553 @ Vvar__1___24Anonymous__555 ) )
         => ( ( Vvar__1___24Anonymous__554 = Vvar__1___24Anonymous__555 )
            & ( Vvar__0___24Anonymous__552 = Vvar__0___24Anonymous__553 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2566]) ).

thf(3130,plain,
    ( ( ! [Vvar__0___24Anonymous__556: $i,Vvar__0___24Anonymous__557: $i,Vvar__1___24Anonymous__558: $i,Vvar__1___24Anonymous__559: $i,Vvar__2___24Anonymous__560: $i,Vvar__2___24Anonymous__561: $i] :
          ( ( ( cStlc_2eSTLC_2eabs___24a3 @ Vvar__0___24Anonymous__556 @ Vvar__1___24Anonymous__558 @ Vvar__2___24Anonymous__560 )
            = ( cStlc_2eSTLC_2eabs___24a3 @ Vvar__0___24Anonymous__557 @ Vvar__1___24Anonymous__559 @ Vvar__2___24Anonymous__561 ) )
         => ( ( Vvar__2___24Anonymous__560 = Vvar__2___24Anonymous__561 )
            & ( Vvar__1___24Anonymous__558 = Vvar__1___24Anonymous__559 )
            & ( Vvar__0___24Anonymous__556 = Vvar__0___24Anonymous__557 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2567]) ).

thf(3131,plain,
    ( ( ! [Vvar__0___24Anonymous__588: $i,Vvar__0___24Anonymous__589: $i,Vvar__1___24Anonymous__590: $i,Vvar__1___24Anonymous__591: $i] :
          ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__588 @ Vvar__1___24Anonymous__590 )
            = ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__589 @ Vvar__1___24Anonymous__591 ) )
         => ( ( Vvar__1___24Anonymous__590 = Vvar__1___24Anonymous__591 )
            & ( Vvar__0___24Anonymous__588 = Vvar__0___24Anonymous__589 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2568]) ).

thf(3132,plain,
    ( ( ! [Vvar__0___24Anonymous__547: $i,Vvar__0___24Anonymous__548: $i,Vvar__1___24Anonymous__549: $i] :
          ( ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__547 )
         != ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__548 @ Vvar__1___24Anonymous__549 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2763]) ).

thf(3133,plain,
    ( ( ! [Vvar__0___24Anonymous__586: $i,Vvar__1___24Anonymous__587: $i] :
          ( cStlc_2eSTLC_2eBool
         != ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__586 @ Vvar__1___24Anonymous__587 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2764]) ).

thf(3134,plain,
    ( ( ~ ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3121]) ).

thf(3135,plain,
    ( ( ! [Vvar__0___24Anonymous__586: $i,Vvar__1___24Anonymous__587: $i] :
          ( cStlc_2eSTLC_2eBool
         != ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__586 @ Vvar__1___24Anonymous__587 ) ) )
    = $true ),
    inference(copy,[status(thm)],[3133]) ).

thf(3136,plain,
    ( ( ! [Vvar__0___24Anonymous__547: $i,Vvar__0___24Anonymous__548: $i,Vvar__1___24Anonymous__549: $i] :
          ( ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__547 )
         != ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__548 @ Vvar__1___24Anonymous__549 ) ) )
    = $true ),
    inference(copy,[status(thm)],[3132]) ).

thf(3137,plain,
    ( ( ! [Vvar__0___24Anonymous__588: $i,Vvar__0___24Anonymous__589: $i,Vvar__1___24Anonymous__590: $i,Vvar__1___24Anonymous__591: $i] :
          ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__588 @ Vvar__1___24Anonymous__590 )
            = ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__589 @ Vvar__1___24Anonymous__591 ) )
         => ( ( Vvar__1___24Anonymous__590 = Vvar__1___24Anonymous__591 )
            & ( Vvar__0___24Anonymous__588 = Vvar__0___24Anonymous__589 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3131]) ).

thf(3138,plain,
    ( ( ! [Vvar__0___24Anonymous__556: $i,Vvar__0___24Anonymous__557: $i,Vvar__1___24Anonymous__558: $i,Vvar__1___24Anonymous__559: $i,Vvar__2___24Anonymous__560: $i,Vvar__2___24Anonymous__561: $i] :
          ( ( ( cStlc_2eSTLC_2eabs___24a3 @ Vvar__0___24Anonymous__556 @ Vvar__1___24Anonymous__558 @ Vvar__2___24Anonymous__560 )
            = ( cStlc_2eSTLC_2eabs___24a3 @ Vvar__0___24Anonymous__557 @ Vvar__1___24Anonymous__559 @ Vvar__2___24Anonymous__561 ) )
         => ( ( Vvar__2___24Anonymous__560 = Vvar__2___24Anonymous__561 )
            & ( Vvar__1___24Anonymous__558 = Vvar__1___24Anonymous__559 )
            & ( Vvar__0___24Anonymous__556 = Vvar__0___24Anonymous__557 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3130]) ).

thf(3139,plain,
    ( ( ! [Vvar__0___24Anonymous__552: $i,Vvar__0___24Anonymous__553: $i,Vvar__1___24Anonymous__554: $i,Vvar__1___24Anonymous__555: $i] :
          ( ( ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__552 @ Vvar__1___24Anonymous__554 )
            = ( cStlc_2eSTLC_2eapp___24a2 @ Vvar__0___24Anonymous__553 @ Vvar__1___24Anonymous__555 ) )
         => ( ( Vvar__1___24Anonymous__554 = Vvar__1___24Anonymous__555 )
            & ( Vvar__0___24Anonymous__552 = Vvar__0___24Anonymous__553 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3129]) ).

thf(3140,plain,
    ( ( ! [Vvar__0___24Anonymous__550: $i,Vvar__0___24Anonymous__551: $i] :
          ( ( ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__550 )
            = ( cStlc_2eSTLC_2evar___24a1 @ Vvar__0___24Anonymous__551 ) )
         => ( Vvar__0___24Anonymous__550 = Vvar__0___24Anonymous__551 ) ) )
    = $true ),
    inference(copy,[status(thm)],[3128]) ).

thf(3141,plain,
    ( ( ! [VX583: $i] :
          ( ( cStlc_2eSTLC_2ety___24t @ VX583 )
         => ( ( VX583 = cStlc_2eSTLC_2eBool )
            | ? [Vvar__0___24Anonymous__584: $i] :
                ( ( cStlc_2eSTLC_2ety___24t @ Vvar__0___24Anonymous__584 )
                & ? [Vvar__1___24Anonymous__585: $i] :
                    ( ( cStlc_2eSTLC_2ety___24t @ Vvar__1___24Anonymous__585 )
                    & ( VX583
                      = ( cStlc_2eSTLC_2eArrow___24a2 @ Vvar__0___24Anonymous__584 @ Vvar__1___24Anonymous__585 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3127]) ).

thf(3142,plain,
    ( ( cStlc_2eSTLC_2ety___24t @ cStlc_2eSTLC_2eBool )
    = $true ),
    inference(copy,[status(thm)],[3126]) ).

thf(3143,plain,
    ( ( cType___24t @ cStlc_2eSTLC_2etm )
    = $true ),
    inference(copy,[status(thm)],[3125]) ).

thf(3144,plain,
    ( ( cCoq_2eStrings_2eString_2estring___24t @ cStlc_2eSTLC_2ex )
    = $true ),
    inference(copy,[status(thm)],[3124]) ).

thf(3145,plain,
    ( ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) )
    = $true ),
    inference(copy,[status(thm)],[3123]) ).

thf(3146,plain,
    ( ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) )
    = $true ),
    inference(copy,[status(thm)],[3122]) ).

thf(3147,plain,
    ( ( ~ ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3134]) ).

thf(3148,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( cStlc_2eSTLC_2eBool
         != ( cStlc_2eSTLC_2eArrow___24a2 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3135]) ).

thf(3149,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cStlc_2eSTLC_2ety___24t @ SX0 )
          | ( SX0 = cStlc_2eSTLC_2eBool )
          | ~ ! [SX1: $i] :
                ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SX1 )
                    | ~ ~ ! [SX2: $i] :
                            ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SX2 )
                                | ( SX0
                                 != ( cStlc_2eSTLC_2eArrow___24a2 @ SX1 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3141]) ).

thf(3150,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( cStlc_2eSTLC_2evar___24a1 @ SX0 )
           != ( cStlc_2eSTLC_2evar___24a1 @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3140]) ).

thf(3151,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( cStlc_2eSTLC_2evar___24a1 @ SX0 )
         != ( cStlc_2eSTLC_2eapp___24a2 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3136]) ).

thf(3152,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SX0 @ SX2 @ SX4 )
           != ( cStlc_2eSTLC_2eabs___24a3 @ SX1 @ SX3 @ SX5 ) )
          | ~ ( ~ ~ ( ( SX4 != SX5 )
                    | ( SX2 != SX3 ) )
              | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3138]) ).

thf(3153,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SX0 @ SX2 )
           != ( cStlc_2eSTLC_2eapp___24a2 @ SX1 @ SX3 ) )
          | ~ ( ( SX2 != SX3 )
              | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3139]) ).

thf(3154,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SX0 @ SX2 )
           != ( cStlc_2eSTLC_2eArrow___24a2 @ SX1 @ SX3 ) )
          | ~ ( ( SX2 != SX3 )
              | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3137]) ).

thf(3155,plain,
    ( ( cPLF_2eSmallstep_2emulti___24a4 @ cStlc_2eSTLC_2etm @ cStlc_2eSTLC_2estep @ ( cStlc_2eSTLC_2eapp___24a2 @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ ( cStlc_2eSTLC_2eArrow___24a2 @ cStlc_2eSTLC_2eBool @ cStlc_2eSTLC_2eBool ) @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) ) @ ( cStlc_2eSTLC_2eabs___24a3 @ cStlc_2eSTLC_2ex @ cStlc_2eSTLC_2eBool @ ( cStlc_2eSTLC_2evar___24a1 @ cStlc_2eSTLC_2ex ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[3147]) ).

thf(3156,plain,
    ! [SV1: $i] :
      ( ( ! [SY24: $i] :
            ( cStlc_2eSTLC_2eBool
           != ( cStlc_2eSTLC_2eArrow___24a2 @ SV1 @ SY24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3148]) ).

thf(3157,plain,
    ! [SV2: $i] :
      ( ( ~ ( cStlc_2eSTLC_2ety___24t @ SV2 )
        | ( SV2 = cStlc_2eSTLC_2eBool )
        | ~ ! [SY25: $i] :
              ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY25 )
                  | ~ ~ ! [SY26: $i] :
                          ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY26 )
                              | ( SV2
                               != ( cStlc_2eSTLC_2eArrow___24a2 @ SY25 @ SY26 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3149]) ).

thf(3158,plain,
    ! [SV3: $i] :
      ( ( ! [SY27: $i] :
            ( ( ( cStlc_2eSTLC_2evar___24a1 @ SV3 )
             != ( cStlc_2eSTLC_2evar___24a1 @ SY27 ) )
            | ( SV3 = SY27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3150]) ).

thf(3159,plain,
    ! [SV4: $i] :
      ( ( ! [SY28: $i,SY29: $i] :
            ( ( cStlc_2eSTLC_2evar___24a1 @ SV4 )
           != ( cStlc_2eSTLC_2eapp___24a2 @ SY28 @ SY29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3151]) ).

thf(3160,plain,
    ! [SV5: $i] :
      ( ( ! [SY30: $i,SY31: $i,SY32: $i,SY33: $i,SY34: $i] :
            ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SY31 @ SY33 )
             != ( cStlc_2eSTLC_2eabs___24a3 @ SY30 @ SY32 @ SY34 ) )
            | ~ ( ~ ~ ( ( SY33 != SY34 )
                      | ( SY31 != SY32 ) )
                | ( SV5 != SY30 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3152]) ).

thf(3161,plain,
    ! [SV6: $i] :
      ( ( ! [SY35: $i,SY36: $i,SY37: $i] :
            ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SY36 )
             != ( cStlc_2eSTLC_2eapp___24a2 @ SY35 @ SY37 ) )
            | ~ ( ( SY36 != SY37 )
                | ( SV6 != SY35 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3153]) ).

thf(3162,plain,
    ! [SV7: $i] :
      ( ( ! [SY38: $i,SY39: $i,SY40: $i] :
            ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SY39 )
             != ( cStlc_2eSTLC_2eArrow___24a2 @ SY38 @ SY40 ) )
            | ~ ( ( SY39 != SY40 )
                | ( SV7 != SY38 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3154]) ).

thf(3163,plain,
    ! [SV8: $i,SV1: $i] :
      ( ( cStlc_2eSTLC_2eBool
       != ( cStlc_2eSTLC_2eArrow___24a2 @ SV1 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3156]) ).

thf(3164,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( cStlc_2eSTLC_2ety___24t @ SV2 ) )
        = $true )
      | ( ( ( SV2 = cStlc_2eSTLC_2eBool )
          | ~ ! [SY25: $i] :
                ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY25 )
                    | ~ ~ ! [SY26: $i] :
                            ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY26 )
                                | ( SV2
                                 != ( cStlc_2eSTLC_2eArrow___24a2 @ SY25 @ SY26 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3157]) ).

thf(3165,plain,
    ! [SV9: $i,SV3: $i] :
      ( ( ( ( cStlc_2eSTLC_2evar___24a1 @ SV3 )
         != ( cStlc_2eSTLC_2evar___24a1 @ SV9 ) )
        | ( SV3 = SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3158]) ).

thf(3166,plain,
    ! [SV10: $i,SV4: $i] :
      ( ( ! [SY41: $i] :
            ( ( cStlc_2eSTLC_2evar___24a1 @ SV4 )
           != ( cStlc_2eSTLC_2eapp___24a2 @ SV10 @ SY41 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3159]) ).

thf(3167,plain,
    ! [SV11: $i,SV5: $i] :
      ( ( ! [SY42: $i,SY43: $i,SY44: $i,SY45: $i] :
            ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SY42 @ SY44 )
             != ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SY43 @ SY45 ) )
            | ~ ( ~ ~ ( ( SY44 != SY45 )
                      | ( SY42 != SY43 ) )
                | ( SV5 != SV11 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3160]) ).

thf(3168,plain,
    ! [SV12: $i,SV6: $i] :
      ( ( ! [SY46: $i,SY47: $i] :
            ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SY46 )
             != ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SY47 ) )
            | ~ ( ( SY46 != SY47 )
                | ( SV6 != SV12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3161]) ).

thf(3169,plain,
    ! [SV13: $i,SV7: $i] :
      ( ( ! [SY48: $i,SY49: $i] :
            ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SY48 )
             != ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SY49 ) )
            | ~ ( ( SY48 != SY49 )
                | ( SV7 != SV13 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3162]) ).

thf(3170,plain,
    ! [SV8: $i,SV1: $i] :
      ( ( cStlc_2eSTLC_2eBool
        = ( cStlc_2eSTLC_2eArrow___24a2 @ SV1 @ SV8 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3163]) ).

thf(3171,plain,
    ! [SV2: $i] :
      ( ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false )
      | ( ( ( SV2 = cStlc_2eSTLC_2eBool )
          | ~ ! [SY25: $i] :
                ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY25 )
                    | ~ ~ ! [SY26: $i] :
                            ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY26 )
                                | ( SV2
                                 != ( cStlc_2eSTLC_2eArrow___24a2 @ SY25 @ SY26 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3164]) ).

thf(3172,plain,
    ! [SV9: $i,SV3: $i] :
      ( ( ( ( cStlc_2eSTLC_2evar___24a1 @ SV3 )
         != ( cStlc_2eSTLC_2evar___24a1 @ SV9 ) )
        = $true )
      | ( ( SV3 = SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3165]) ).

thf(3173,plain,
    ! [SV14: $i,SV10: $i,SV4: $i] :
      ( ( ( cStlc_2eSTLC_2evar___24a1 @ SV4 )
       != ( cStlc_2eSTLC_2eapp___24a2 @ SV10 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3166]) ).

thf(3174,plain,
    ! [SV11: $i,SV15: $i,SV5: $i] :
      ( ( ! [SY50: $i,SY51: $i,SY52: $i] :
            ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SY51 )
             != ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SY50 @ SY52 ) )
            | ~ ( ~ ~ ( ( SY51 != SY52 )
                      | ( SV15 != SY50 ) )
                | ( SV5 != SV11 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3167]) ).

thf(3175,plain,
    ! [SV12: $i,SV16: $i,SV6: $i] :
      ( ( ! [SY53: $i] :
            ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
             != ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SY53 ) )
            | ~ ( ( SV16 != SY53 )
                | ( SV6 != SV12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3168]) ).

thf(3176,plain,
    ! [SV13: $i,SV17: $i,SV7: $i] :
      ( ( ! [SY54: $i] :
            ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
             != ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SY54 ) )
            | ~ ( ( SV17 != SY54 )
                | ( SV7 != SV13 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3169]) ).

thf(3177,plain,
    ! [SV2: $i] :
      ( ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( ~ ! [SY25: $i] :
                ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY25 )
                    | ~ ~ ! [SY26: $i] :
                            ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY26 )
                                | ( SV2
                                 != ( cStlc_2eSTLC_2eArrow___24a2 @ SY25 @ SY26 ) ) ) ) )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3171]) ).

thf(3178,plain,
    ! [SV9: $i,SV3: $i] :
      ( ( ( ( cStlc_2eSTLC_2evar___24a1 @ SV3 )
          = ( cStlc_2eSTLC_2evar___24a1 @ SV9 ) )
        = $false )
      | ( ( SV3 = SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3172]) ).

thf(3179,plain,
    ! [SV14: $i,SV10: $i,SV4: $i] :
      ( ( ( cStlc_2eSTLC_2evar___24a1 @ SV4 )
        = ( cStlc_2eSTLC_2eapp___24a2 @ SV10 @ SV14 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3173]) ).

thf(3180,plain,
    ! [SV18: $i,SV11: $i,SV15: $i,SV5: $i] :
      ( ( ! [SY55: $i,SY56: $i] :
            ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SY55 )
             != ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SY56 ) )
            | ~ ( ~ ~ ( ( SY55 != SY56 )
                      | ( SV15 != SV18 ) )
                | ( SV5 != SV11 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3174]) ).

thf(3181,plain,
    ! [SV19: $i,SV12: $i,SV16: $i,SV6: $i] :
      ( ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
         != ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        | ~ ( ( SV16 != SV19 )
            | ( SV6 != SV12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3175]) ).

thf(3182,plain,
    ! [SV20: $i,SV13: $i,SV17: $i,SV7: $i] :
      ( ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
         != ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        | ~ ( ( SV17 != SV20 )
            | ( SV7 != SV13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3176]) ).

thf(3183,plain,
    ! [SV2: $i] :
      ( ( ( ! [SY25: $i] :
              ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY25 )
                  | ~ ~ ! [SY26: $i] :
                          ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY26 )
                              | ( SV2
                               != ( cStlc_2eSTLC_2eArrow___24a2 @ SY25 @ SY26 ) ) ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3177]) ).

thf(3184,plain,
    ! [SV18: $i,SV11: $i,SV21: $i,SV15: $i,SV5: $i] :
      ( ( ! [SY57: $i] :
            ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
             != ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SY57 ) )
            | ~ ( ~ ~ ( ( SV21 != SY57 )
                      | ( SV15 != SV18 ) )
                | ( SV5 != SV11 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3180]) ).

thf(3185,plain,
    ! [SV19: $i,SV12: $i,SV16: $i,SV6: $i] :
      ( ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
         != ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        = $true )
      | ( ( ~ ( ( SV16 != SV19 )
              | ( SV6 != SV12 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3181]) ).

thf(3186,plain,
    ! [SV20: $i,SV13: $i,SV17: $i,SV7: $i] :
      ( ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
         != ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        = $true )
      | ( ( ~ ( ( SV17 != SV20 )
              | ( SV7 != SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3182]) ).

thf(3187,plain,
    ! [SV2: $i] :
      ( ( ( ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK1_SY25 @ SV2 ) )
                | ~ ~ ! [SY58: $i] :
                        ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY58 )
                            | ( SV2
                             != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ SY58 ) ) ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3183]) ).

thf(3188,plain,
    ! [SV22: $i,SV18: $i,SV11: $i,SV21: $i,SV15: $i,SV5: $i] :
      ( ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
         != ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        | ~ ( ~ ~ ( ( SV21 != SV22 )
                  | ( SV15 != SV18 ) )
            | ( SV5 != SV11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3184]) ).

thf(3189,plain,
    ! [SV19: $i,SV12: $i,SV16: $i,SV6: $i] :
      ( ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
          = ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        = $false )
      | ( ( ~ ( ( SV16 != SV19 )
              | ( SV6 != SV12 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3185]) ).

thf(3190,plain,
    ! [SV20: $i,SV13: $i,SV17: $i,SV7: $i] :
      ( ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
          = ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        = $false )
      | ( ( ~ ( ( SV17 != SV20 )
              | ( SV7 != SV13 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3186]) ).

thf(3191,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK1_SY25 @ SV2 ) )
              | ~ ~ ! [SY58: $i] :
                      ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY58 )
                          | ( SV2
                           != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ SY58 ) ) ) ) )
        = $true )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3187]) ).

thf(3192,plain,
    ! [SV22: $i,SV18: $i,SV11: $i,SV21: $i,SV15: $i,SV5: $i] :
      ( ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
         != ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ( SV21 != SV22 )
                    | ( SV15 != SV18 ) )
              | ( SV5 != SV11 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3188]) ).

thf(3193,plain,
    ! [SV12: $i,SV6: $i,SV19: $i,SV16: $i] :
      ( ( ( ( SV16 != SV19 )
          | ( SV6 != SV12 ) )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
          = ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3189]) ).

thf(3194,plain,
    ! [SV13: $i,SV7: $i,SV20: $i,SV17: $i] :
      ( ( ( ( SV17 != SV20 )
          | ( SV7 != SV13 ) )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
          = ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3190]) ).

thf(3195,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK1_SY25 @ SV2 ) )
          | ~ ~ ! [SY58: $i] :
                  ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY58 )
                      | ( SV2
                       != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ SY58 ) ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3191]) ).

thf(3196,plain,
    ! [SV22: $i,SV18: $i,SV11: $i,SV21: $i,SV15: $i,SV5: $i] :
      ( ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ( SV21 != SV22 )
                    | ( SV15 != SV18 ) )
              | ( SV5 != SV11 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3192]) ).

thf(3197,plain,
    ! [SV12: $i,SV6: $i,SV19: $i,SV16: $i] :
      ( ( ( SV16 != SV19 )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
          = ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3193]) ).

thf(3198,plain,
    ! [SV19: $i,SV16: $i,SV12: $i,SV6: $i] :
      ( ( ( SV6 != SV12 )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
          = ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3193]) ).

thf(3199,plain,
    ! [SV13: $i,SV7: $i,SV20: $i,SV17: $i] :
      ( ( ( SV17 != SV20 )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
          = ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3194]) ).

thf(3200,plain,
    ! [SV20: $i,SV17: $i,SV13: $i,SV7: $i] :
      ( ( ( SV7 != SV13 )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
          = ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3194]) ).

thf(3201,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK1_SY25 @ SV2 ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3195]) ).

thf(3202,plain,
    ! [SV2: $i] :
      ( ( ( ~ ~ ! [SY58: $i] :
                  ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY58 )
                      | ( SV2
                       != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ SY58 ) ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3195]) ).

thf(3203,plain,
    ! [SV11: $i,SV5: $i,SV18: $i,SV15: $i,SV22: $i,SV21: $i] :
      ( ( ( ~ ~ ( ( SV21 != SV22 )
                | ( SV15 != SV18 ) )
          | ( SV5 != SV11 ) )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3196]) ).

thf(3204,plain,
    ! [SV12: $i,SV6: $i,SV19: $i,SV16: $i] :
      ( ( ( SV16 = SV19 )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
          = ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3197]) ).

thf(3205,plain,
    ! [SV19: $i,SV16: $i,SV12: $i,SV6: $i] :
      ( ( ( SV6 = SV12 )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eapp___24a2 @ SV6 @ SV16 )
          = ( cStlc_2eSTLC_2eapp___24a2 @ SV12 @ SV19 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3198]) ).

thf(3206,plain,
    ! [SV13: $i,SV7: $i,SV20: $i,SV17: $i] :
      ( ( ( SV17 = SV20 )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
          = ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3199]) ).

thf(3207,plain,
    ! [SV20: $i,SV17: $i,SV13: $i,SV7: $i] :
      ( ( ( SV7 = SV13 )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eArrow___24a2 @ SV7 @ SV17 )
          = ( cStlc_2eSTLC_2eArrow___24a2 @ SV13 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3200]) ).

thf(3208,plain,
    ! [SV2: $i] :
      ( ( ( cStlc_2eSTLC_2ety___24t @ ( sK1_SY25 @ SV2 ) )
        = $true )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3201]) ).

thf(3209,plain,
    ! [SV2: $i] :
      ( ( ( ~ ! [SY58: $i] :
                ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY58 )
                    | ( SV2
                     != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ SY58 ) ) ) )
        = $true )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3202]) ).

thf(3210,plain,
    ! [SV11: $i,SV5: $i,SV18: $i,SV15: $i,SV22: $i,SV21: $i] :
      ( ( ( ~ ~ ( ( SV21 != SV22 )
                | ( SV15 != SV18 ) ) )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3203]) ).

thf(3211,plain,
    ! [SV22: $i,SV18: $i,SV21: $i,SV15: $i,SV11: $i,SV5: $i] :
      ( ( ( SV5 != SV11 )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3203]) ).

thf(3212,plain,
    ! [SV2: $i] :
      ( ( ( ! [SY58: $i] :
              ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ SY58 )
                  | ( SV2
                   != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ SY58 ) ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3209]) ).

thf(3213,plain,
    ! [SV11: $i,SV5: $i,SV18: $i,SV15: $i,SV22: $i,SV21: $i] :
      ( ( ( ~ ( ( SV21 != SV22 )
              | ( SV15 != SV18 ) ) )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3210]) ).

thf(3214,plain,
    ! [SV22: $i,SV18: $i,SV21: $i,SV15: $i,SV11: $i,SV5: $i] :
      ( ( ( SV5 = SV11 )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3211]) ).

thf(3215,plain,
    ! [SV2: $i] :
      ( ( ( ~ ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK2_SY58 @ SV2 ) )
                | ( SV2
                 != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ ( sK2_SY58 @ SV2 ) ) ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3212]) ).

thf(3216,plain,
    ! [SV11: $i,SV5: $i,SV18: $i,SV15: $i,SV22: $i,SV21: $i] :
      ( ( ( ( SV21 != SV22 )
          | ( SV15 != SV18 ) )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3213]) ).

thf(3217,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK2_SY58 @ SV2 ) )
              | ( SV2
               != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ ( sK2_SY58 @ SV2 ) ) ) ) )
        = $true )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3215]) ).

thf(3218,plain,
    ! [SV18: $i,SV11: $i,SV15: $i,SV5: $i,SV22: $i,SV21: $i] :
      ( ( ( SV21 != SV22 )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3216]) ).

thf(3219,plain,
    ! [SV22: $i,SV11: $i,SV21: $i,SV5: $i,SV18: $i,SV15: $i] :
      ( ( ( SV15 != SV18 )
        = $false )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3216]) ).

thf(3220,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK2_SY58 @ SV2 ) )
          | ( SV2
           != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ ( sK2_SY58 @ SV2 ) ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3217]) ).

thf(3221,plain,
    ! [SV18: $i,SV11: $i,SV15: $i,SV5: $i,SV22: $i,SV21: $i] :
      ( ( ( SV21 = SV22 )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3218]) ).

thf(3222,plain,
    ! [SV22: $i,SV11: $i,SV21: $i,SV5: $i,SV18: $i,SV15: $i] :
      ( ( ( SV15 = SV18 )
        = $true )
      | ( ( ( cStlc_2eSTLC_2eabs___24a3 @ SV5 @ SV15 @ SV21 )
          = ( cStlc_2eSTLC_2eabs___24a3 @ SV11 @ SV18 @ SV22 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3219]) ).

thf(3223,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( cStlc_2eSTLC_2ety___24t @ ( sK2_SY58 @ SV2 ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3220]) ).

thf(3224,plain,
    ! [SV2: $i] :
      ( ( ( SV2
         != ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ ( sK2_SY58 @ SV2 ) ) )
        = $false )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3220]) ).

thf(3225,plain,
    ! [SV2: $i] :
      ( ( ( cStlc_2eSTLC_2ety___24t @ ( sK2_SY58 @ SV2 ) )
        = $true )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3223]) ).

thf(3226,plain,
    ! [SV2: $i] :
      ( ( ( SV2
          = ( cStlc_2eSTLC_2eArrow___24a2 @ ( sK1_SY25 @ SV2 ) @ ( sK2_SY58 @ SV2 ) ) )
        = $true )
      | ( ( SV2 = cStlc_2eSTLC_2eBool )
        = $true )
      | ( ( cStlc_2eSTLC_2ety___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3224]) ).

thf(3227,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[3142,3226,3225,3222,3221,3214,3208,3207,3206,3205,3204,3179,3178,3170,3155,3146,3145,3144,3143]) ).

thf(3228,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[3227]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV672+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.24  % Computer : n019.cluster.edu
% 0.06/0.24  % Model    : x86_64 x86_64
% 0.06/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24  % Memory   : 8046.5625MB
% 0.06/0.24  % OS       : Linux 6.8.0-71-generic
% 0.06/0.24  % CPULimit : 300
% 0.06/0.24  % WCLimit  : 300
% 0.06/0.24  % DateTime : Tue Oct  6 15:50:31 UTC 2026
% 0.06/0.24  % CPUTime  : 
% 0.06/0.24  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.28/8.55  ........................
% 41.28/8.55  
% 41.28/8.55   No.of.Axioms: 12
% 41.28/8.55  
% 41.28/8.55   Length.of.Defs: 0
% 41.28/8.55  
% 41.28/8.55   Contains.Choice.Funs: false
% 41.28/8.55  ............................
% 41.28/8.55  
% 41.28/8.55  ********************************
% 41.28/8.55  *   All subproblems solved!    *
% 41.28/8.55  ********************************
% 41.28/8.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:12,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:295,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3227,loop_count:0,foatp_calls:1,translation:fof_full)
% 41.28/8.55  
% 41.28/8.55  %**** Beginning of derivation protocol ****
% 41.28/8.55  % SZS output start CNFRefutation
% See solution above
% 41.28/8.57  
% 41.28/8.57  %**** End of derivation protocol ****
% 41.28/8.57  %**** no. of clauses in derivation: 122 ****
% 41.28/8.57  %**** clause counter: 3227 ****
% 41.28/8.57  
% 41.28/8.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:12,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:295,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3227,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------