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

%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 10:50:27 AM UTC 2026

% Result   : Theorem 37.83s 6.68s
% Output   : CNFRefutation 37.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  324 ( 198 unt;   0 typ;   0 def)
%            Number of atoms       : 1804 ( 651 equ;   0 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives : 2861 ( 699   ~; 536   |;   3   &;1538   @)
%                                         (  48 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1856 (1853 usr; 934 con; 0-23 aty)
%            Number of variables   :  715 (   0   ^; 715   !;   0   ?; 715   :)

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

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

thf(tp_cCoq_2eArith_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_2eb2n,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eb2n: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2eb2n___24a1,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2eb2n___24a1: $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_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_2eBool_2eBool_2eIs__true,type,
    cCoq_2eBool_2eBool_2eIs__true: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_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_2eExists,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eExists: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eExists___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eExists___24a2: $i > $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eFor__all,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eFor__all: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eFor__all___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eFor__all___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_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_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 > $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eis__empty,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eis__empty: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eis__empty___24a1,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eis__empty___24a1: $i > $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_2erev__append,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2erev__append: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2erev__append___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2erev__append___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_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_2eCompSpecT,type,
    cCoq_2eInit_2eDatatypes_2eCompSpecT: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eCompSpecT___24a5,type,
    cCoq_2eInit_2eDatatypes_2eCompSpecT___24a5: $i > $i > $i > $i > $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___24a3,type,
    cCoq_2eInit_2eDatatypes_2eCompareSpecT___24a3: $i > $i > $i > $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_2eEq,type,
    cCoq_2eInit_2eDatatypes_2eEq: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_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_2elength,type,
    cCoq_2eInit_2eDatatypes_2elength: $i ).

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_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___24a3,type,
    cCoq_2eInit_2eDatatypes_2enat__rect___24a3: $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_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_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_2eeq__refl,type,
    cCoq_2eInit_2eLogic_2eeq__refl: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eNat_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_2egcd,type,
    cCoq_2eInit_2eNat_2egcd: $i ).

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

thf(tp_cCoq_2eInit_2eNat_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_2emodulo,type,
    cCoq_2eInit_2eNat_2emodulo: $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eNat_2esqrt,type,
    cCoq_2eInit_2eNat_2esqrt: $i ).

thf(tp_cCoq_2eInit_2eNat_2esqrt___24a1,type,
    cCoq_2eInit_2eNat_2esqrt___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eNat_2esqrt__iter,type,
    cCoq_2eInit_2eNat_2esqrt__iter: $i ).

thf(tp_cCoq_2eInit_2eNat_2esqrt__iter___24a4,type,
    cCoq_2eInit_2eNat_2esqrt__iter___24a4: $i > $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eSpecif_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_2eprojT1,type,
    cCoq_2eInit_2eSpecif_2eprojT1: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eprojT1___24a3,type,
    cCoq_2eInit_2eSpecif_2eprojT1___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eprojT2,type,
    cCoq_2eInit_2eSpecif_2eprojT2: $i ).

thf(tp_cCoq_2eInit_2eSpecif_2eprojT2___24a3,type,
    cCoq_2eInit_2eSpecif_2eprojT2___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_2eForall,type,
    cCoq_2eLists_2eList_2eForall: $i ).

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

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

thf(tp_cCoq_2eLists_2eList_2eIn___24a3,type,
    cCoq_2eLists_2eList_2eIn___24a3: $i > $i > $i > $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_2elast,type,
    cCoq_2eLists_2eList_2elast: $i ).

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

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

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

thf(tp_cCoq_2eLists_2eList_2enth,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_2ecompat__bool,type,
    cCoq_2eLists_2eSetoidList_2ecompat__bool: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2ecompat__bool___24a3,type,
    cCoq_2eLists_2eSetoidList_2ecompat__bool___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eLists_2eSetoidList_2ecompat__op,type,
    cCoq_2eLists_2eSetoidList_2ecompat__op: $i ).

thf(tp_cCoq_2eLists_2eSetoidList_2ecompat__op___24a5,type,
    cCoq_2eLists_2eSetoidList_2ecompat__op___24a5: $i > $i > $i > $i > $i > $o ).

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

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

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

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

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eEq__dep__eq__on,type,
    cCoq_2eLogic_2eEqdepFacts_2eEq__dep__eq__on: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eEq__dep__eq__on___24a4,type,
    cCoq_2eLogic_2eEqdepFacts_2eEq__dep__eq__on___24a4: $i > $i > $i > $i > $o ).

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

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

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

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

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eStreicher__K__on__,type,
    cCoq_2eLogic_2eEqdepFacts_2eStreicher__K__on__: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eStreicher__K__on_____24a3,type,
    cCoq_2eLogic_2eEqdepFacts_2eStreicher__K__on_____24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eUIP__,type,
    cCoq_2eLogic_2eEqdepFacts_2eUIP__: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eUIP_____24a1,type,
    cCoq_2eLogic_2eEqdepFacts_2eUIP_____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_2eUIP__refl__on__,type,
    cCoq_2eLogic_2eEqdepFacts_2eUIP__refl__on__: $i ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eUIP__refl__on_____24a1,type,
    cCoq_2eLogic_2eEqdepFacts_2eUIP__refl__on_____24a1: $i > $o ).

thf(tp_cCoq_2eLogic_2eEqdepFacts_2eUIP__refl__on_____24a2,type,
    cCoq_2eLogic_2eEqdepFacts_2eUIP__refl__on_____24a2: $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_2ediv,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv: $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_2ediv___24a2,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2ediv___24a2: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_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_2emodulo,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2emodulo: $i ).

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esqrt,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esqrt: $i ).

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esqrt___24a1,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2esqrt___24a1: $i > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eb2n,type,
    cCoq_2eNArith_2eBinNat_2eN_2eb2n: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2eb2n___24a1,type,
    cCoq_2eNArith_2eBinNat_2eN_2eb2n___24a1: $i > $i ).

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

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

thf(tp_cCoq_2eNArith_2eBinNat_2eN_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_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_2eeqb,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb: $i ).

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

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

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

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter,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__nat,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eof__nat: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt___24a1: $i > $i ).

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

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

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

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

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

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

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

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

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_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_2eSqrtSpec,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eSqrtSpec: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eSqrtSpec___24a2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eSqrtSpec___24a2: $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_2ele,type,
    cCoq_2ePArith_2eBinPos_2ePos_2ele: $i ).

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

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

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

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eswitch__Eq,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eswitch__Eq: $i ).

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eswitch__Eq___24a2,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eswitch__Eq___24a2: $i > $i > $i ).

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_2eQeq,type,
    cCoq_2eQArith_2eQArith__base_2eQeq: $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_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_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_2eRdefinitions_2eIPR,type,
    cCoq_2eReals_2eRdefinitions_2eIPR: $i ).

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eReals_2eRdefinitions_2eRge___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRge___24a2: $i > $i > $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_2eRinv___24a1,type,
    cCoq_2eReals_2eRdefinitions_2eRinv___24a1: $i > $i ).

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

thf(tp_cCoq_2eReals_2eRdefinitions_2eRle___24a2,type,
    cCoq_2eReals_2eRdefinitions_2eRle___24a2: $i > $i > $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_2eRminus,type,
    cCoq_2eReals_2eRdefinitions_2eRminus: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eSorting_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_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_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq__dec,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq__dec: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_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_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts___24a2,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2elts___24a2: $i > $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eString__as__OT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eZ__as__OT_2eeq,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_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_2efold__right,type,
    cCoq_2eVectors_2eVectorDef_2efold__right: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2efold__right___24a6,type,
    cCoq_2eVectors_2eVectorDef_2efold__right___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2enil,type,
    cCoq_2eVectors_2eVectorDef_2enil: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2enil___24a1,type,
    cCoq_2eVectors_2eVectorDef_2enil___24a1: $i > $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2et,type,
    cCoq_2eVectors_2eVectorDef_2et: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2et___24a2,type,
    cCoq_2eVectors_2eVectorDef_2et___24a2: $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2et___24t,type,
    cCoq_2eVectors_2eVectorDef_2et___24t: $i > $i > $i > $o ).

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

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eadd,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eadd: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ecompare___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2ediv__eucl___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2egcd,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2egcd: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eleb,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eleb: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eleb___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eleb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elog2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2elog2: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_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_2eof__N,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eopp,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eopp: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epred: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equot,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equot: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem___24a2: $i > $i > $i ).

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

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esgn,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esgn: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esub,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esub: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esucc,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esucc: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_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_2eBinInt_2eZ_2eBezout,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eBezout: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eBezout___24a3,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eBezout___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eb2z,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eb2z: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eb2z___24a1,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eb2z___24a1: $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2edivide,type,
    cCoq_2eZArith_2eBinInt_2eZ_2edivide: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_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_2egt,type,
    cCoq_2eZArith_2eBinInt_2eZ_2egt: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ele,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ele: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elt,type,
    cCoq_2eZArith_2eBinInt_2eZ_2elt: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2: $i > $i > $o ).

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_2eZdiv_2eRemainder,type,
    cCoq_2eZArith_2eZdiv_2eRemainder: $i ).

thf(tp_cCoq_2eZArith_2eZdiv_2eRemainder___24a2,type,
    cCoq_2eZArith_2eZdiv_2eRemainder___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_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_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_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_2eMphi,type,
    cCoq_2emicromega_2eEnvRing_2eMphi: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2eMphi___24a5,type,
    cCoq_2emicromega_2eEnvRing_2eMphi___24a5: $i > $i > $i > $i > $i > $i ).

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_2ePphi,type,
    cCoq_2emicromega_2eEnvRing_2ePphi: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePphi___24a7,type,
    cCoq_2emicromega_2eEnvRing_2ePphi___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

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_2eEnv_2eEnv___24t,type,
    cCoq_2emicromega_2eEnv_2eEnv___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eEnv_2ejump,type,
    cCoq_2emicromega_2eEnv_2ejump: $i ).

thf(tp_cCoq_2emicromega_2eEnv_2ejump___24a4,type,
    cCoq_2emicromega_2eEnv_2ejump___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnv_2enth,type,
    cCoq_2emicromega_2eEnv_2enth: $i ).

thf(tp_cCoq_2emicromega_2eEnv_2enth___24a3,type,
    cCoq_2emicromega_2eEnv_2enth___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eOrderedRing_2eSOR,type,
    cCoq_2emicromega_2eOrderedRing_2eSOR: $i ).

thf(tp_cCoq_2emicromega_2eOrderedRing_2eSOR___24a10,type,
    cCoq_2emicromega_2eOrderedRing_2eSOR___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_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_2ePolEnv,type,
    cCoq_2emicromega_2eRingMicromega_2ePolEnv: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolEnv___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2ePolEnv___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eSORaddon,type,
    cCoq_2emicromega_2eRingMicromega_2eSORaddon: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eSORaddon___24a22,type,
    cCoq_2emicromega_2eRingMicromega_2eSORaddon___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eStrict,type,
    cCoq_2emicromega_2eRingMicromega_2eStrict: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op2,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op2: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op2___24a5,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op2___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eA,type,
    cCoq_2emicromega_2eTauto_2eA: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eA___24a6,type,
    cCoq_2emicromega_2eTauto_2eA___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eCj,type,
    cCoq_2emicromega_2eTauto_2eCj: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eCj___24a6,type,
    cCoq_2emicromega_2eTauto_2eCj___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eD,type,
    cCoq_2emicromega_2eTauto_2eD: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eD___24a6,type,
    cCoq_2emicromega_2eTauto_2eD___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eFF,type,
    cCoq_2emicromega_2eTauto_2eFF: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eFF___24a4,type,
    cCoq_2emicromega_2eTauto_2eFF___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eGFormula,type,
    cCoq_2emicromega_2eTauto_2eGFormula: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eGFormula___24a4,type,
    cCoq_2emicromega_2eTauto_2eGFormula___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eGFormula___24t,type,
    cCoq_2emicromega_2eTauto_2eGFormula___24t: $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eTauto_2eI,type,
    cCoq_2emicromega_2eTauto_2eI: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eI___24a7,type,
    cCoq_2emicromega_2eTauto_2eI___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eN,type,
    cCoq_2emicromega_2eTauto_2eN: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eN___24a5,type,
    cCoq_2emicromega_2eTauto_2eN___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eTT,type,
    cCoq_2emicromega_2eTauto_2eTT: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eTT___24a4,type,
    cCoq_2emicromega_2eTauto_2eTT___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eX,type,
    cCoq_2emicromega_2eTauto_2eX: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eX___24a5,type,
    cCoq_2emicromega_2eTauto_2eX___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eAdd,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eAdd: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eAdd,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eAdd: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop___24a1,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eFacts_2eMP_2eDec_2eFSetDecideAuxiliary_2eFSet__elt__Prop___24a1: $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_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_2esetoid__ring_2eBinList_2enth,type,
    cCoq_2esetoid__ring_2eBinList_2enth: $i ).

thf(tp_cCoq_2esetoid__ring_2eBinList_2enth___24a4,type,
    cCoq_2esetoid__ring_2eBinList_2enth___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEI,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEI: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEI___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEI___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEO,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEO: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEO___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEO___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEX,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEX: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEX___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEX___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEadd,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEadd: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEadd___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEadd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEc,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEc: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEc___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEc___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEdiv,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEdiv: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEdiv___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEdiv___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEinv,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEinv: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEinv___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEinv___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEmul,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEmul: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEmul___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEmul___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEopp,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEopp: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEopp___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEopp___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEpow,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEpow: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEpow___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEpow___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEsub,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEsub: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFEsub___24a3,type,
    cCoq_2esetoid__ring_2eField__theory_2eFEsub___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFExpr,type,
    cCoq_2esetoid__ring_2eField__theory_2eFExpr: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFExpr___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2eFExpr___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFExpr___24t,type,
    cCoq_2esetoid__ring_2eField__theory_2eFExpr___24t: $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFapp,type,
    cCoq_2esetoid__ring_2eField__theory_2eFapp: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2eFapp___24a4,type,
    cCoq_2esetoid__ring_2eField__theory_2eFapp___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory,type,
    cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory___24a10,type,
    cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2econdition,type,
    cCoq_2esetoid__ring_2eField__theory_2econdition: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2econdition___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2econdition___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2edenum,type,
    cCoq_2esetoid__ring_2eField__theory_2edenum: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2edenum___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2edenum___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_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_2enum,type,
    cCoq_2esetoid__ring_2eField__theory_2enum: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2enum___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2enum___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_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_2ersplit__left,type,
    cCoq_2esetoid__ring_2eField__theory_2ersplit__left: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ersplit__left___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2ersplit__left___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ersplit__right,type,
    cCoq_2esetoid__ring_2eField__theory_2ersplit__right: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2ersplit__right___24a2,type,
    cCoq_2esetoid__ring_2eField__theory_2ersplit__right___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2eNopp,type,
    cCoq_2esetoid__ring_2eInitialRing_2eNopp: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2eNsub,type,
    cCoq_2esetoid__ring_2eInitialRing_2eNsub: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiN,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiN: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiN___24a6,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiN___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS___24a5,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ___24a7,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiZ___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2etriv__div,type,
    cCoq_2esetoid__ring_2eInitialRing_2etriv__div: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2etriv__div___24a6,type,
    cCoq_2esetoid__ring_2eInitialRing_2etriv__div___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing_2ebool__eq,type,
    cCoq_2esetoid__ring_2eRing_2ebool__eq: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing_2ebool__eq___24a2,type,
    cCoq_2esetoid__ring_2eRing_2ebool__eq___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_2ePEeval,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEeval: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEeval___24a14,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEeval___24a14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEmul,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEmul: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEmul___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEmul___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEopp,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEopp: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEopp___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEopp___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEpow,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEpow: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEpow___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEpow___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEsub,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEsub: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEsub___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEsub___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePExpr: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24t,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24t: $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePX,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePX: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePX___24a4,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePX___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePc,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePc: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePc___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePc___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePeq,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePeq: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePeq___24a4,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePeq___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePinj,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePinj: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePinj___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePinj___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePol: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePol___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol___24t,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePol___24t: $i > $i > $o ).

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

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_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___24a1,type,
    cCoq_2esetoid__ring_2eRing__theory_2eSRopp___24a1: $i > $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___24a2,type,
    cCoq_2esetoid__ring_2eRing__theory_2eSRsub___24a2: $i > $i > $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_2eget__sign__None,type,
    cCoq_2esetoid__ring_2eRing__theory_2eget__sign__None: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eget__sign__None___24a2,type,
    cCoq_2esetoid__ring_2eRing__theory_2eget__sign__None___24a2: $i > $i > $i ).

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_2esign__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2esign__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esign__theory___24a4,type,
    cCoq_2esetoid__ring_2eRing__theory_2esign__theory___24a4: $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_cProp,type,
    cProp: $i ).

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

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_24102739,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24102739: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24102739___24a2,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24102739___24a2: $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24142229,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24142229: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24142229___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24142229___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ecomparison_24165612,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ecomparison_24165612: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ecomparison_24165612___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ecomparison_24165612___24a5: $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2421811,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2421811: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2421811___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2421811___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2421833,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2421833: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2421833___24a1,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2421833___24a1: $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_248582,type,
    c_24__case__Coq_2eInit_2eDatatypes_2eprod_248582: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_248582___24a9,type,
    c_24__case__Coq_2eInit_2eDatatypes_2eprod_248582___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2421828,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2421828: $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2421828___24a3,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2421828___24a3: $i > $i > $i > $i ).

thf(tp_c_24__fix__20500__1__add__carry,type,
    c_24__fix__20500__1__add__carry: $i ).

thf(tp_c_24__fix__20500__1__add__carry___24a2,type,
    c_24__fix__20500__1__add__carry___24a2: $i > $i > $i ).

thf(tp_c_24__lam__103102,type,
    c_24__lam__103102: $i ).

thf(tp_c_24__lam__103102___24a1,type,
    c_24__lam__103102___24a1: $i > $i ).

thf(tp_c_24__lam__12266,type,
    c_24__lam__12266: $i ).

thf(tp_c_24__lam__12266___24a1,type,
    c_24__lam__12266___24a1: $i > $i ).

thf(tp_c_24__lam__14771,type,
    c_24__lam__14771: $i ).

thf(tp_c_24__lam__14771___24a2,type,
    c_24__lam__14771___24a2: $i > $i > $i ).

thf(tp_c_24__lam__14771___24a4,type,
    c_24__lam__14771___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__14779,type,
    c_24__lam__14779: $i ).

thf(tp_c_24__lam__14779___24a2,type,
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thf(tp_c_24__lam__14779___24a4,type,
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thf(tp_c_24__lam__14787,type,
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thf(tp_c_24__lam__14787___24a2,type,
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thf(tp_c_24__lam__14787___24a4,type,
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thf(tp_c_24__lam__14795,type,
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thf(tp_c_24__lam__14795___24a2,type,
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thf(tp_c_24__lam__14795___24a4,type,
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thf(tp_c_24__let__var__6__p__21874__21877,type,
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thf(tp_c_24__let__var__6__p__21874__21877___24a4,type,
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thf(tp_c_24__let__var__6__p__21876__21878,type,
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thf(tp_c_24__let__var__6__p__21876__21878___24a4,type,
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thf(tp_c_24__prop__10581,type,
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thf(tp_c_24__prop__10581___24a3,type,
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thf(tp_c_24__prop__10582,type,
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thf(tp_c_24__prop__10582___24a3,type,
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thf(tp_c_24__prop__166330,type,
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thf(tp_c_24__prop__166330___24a2,type,
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thf(tp_c_24__prop__20885,type,
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thf(tp_c_24__prop__20885___24a2,type,
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thf(tp_c_24__prop__23380,type,
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thf(tp_c_24__prop__23380___24a4,type,
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thf(tp_c_24__prop__23381,type,
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thf(tp_c_24__prop__23381___24a3,type,
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thf(tp_c_24__prop__23382,type,
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thf(tp_c_24__prop__23382___24a3,type,
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thf(tp_c_24__prop__23383,type,
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thf(tp_c_24__prop__23383___24a3,type,
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thf(tp_c_24__prop__23384,type,
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thf(tp_c_24__prop__23384___24a3,type,
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thf(tp_c_24__prop__23385,type,
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thf(tp_c_24__prop__23385___24a3,type,
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thf(tp_c_24__prop__23386,type,
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thf(tp_c_24__prop__23386___24a2,type,
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thf(tp_c_24__prop__32246,type,
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thf(tp_c_24__prop__32246___24a2,type,
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thf(tp_c_24__prop__440,type,
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thf(tp_c_24__prop__440___24a2,type,
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thf(tp_c_24__prop__441,type,
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thf(tp_c_24__type__10055,type,
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thf(tp_c_24__type__10113,type,
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thf(tp_c_24__type__10125,type,
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thf(tp_c_24__type__10127,type,
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thf(tp_c_24__type__10132,type,
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thf(tp_c_24__type__24608___24a22,type,
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thf(tp_c_24__type__24608___24t,type,
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thf(tp_c_24__type__2469___24t,type,
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thf(tp_c_24__type__2493___24a2,type,
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thf(tp_c_24__type__2493___24t,type,
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thf(tp_c_24__type__24954___24a22,type,
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thf(tp_c_24__type__24954___24t,type,
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thf(tp_c_24__type__24___24t,type,
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thf(tp_c_24__type__2507___24a2,type,
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thf(tp_c_24__type__2507___24t,type,
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thf(tp_c_24__type__2514___24a2,type,
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thf(tp_c_24__type__2514___24t,type,
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thf(tp_c_24__type__25277___24a22,type,
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thf(tp_c_24__type__29957___24t,type,
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thf(tp_c_24__type__364___24t,type,
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thf(tp_c_24__type__367___24t,type,
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thf(tp_c_24__type__373___24t,type,
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thf(tp_c_24__type__386___24t,type,
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thf(tp_c_24__type__393,type,
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thf(tp_c_24__type__393___24t,type,
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thf(tp_c_24__type__397___24t,type,
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thf(tp_c_24__type__4,type,
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thf(tp_c_24__type__400,type,
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thf(tp_c_24__type__400___24t,type,
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thf(tp_c_24__type__405,type,
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thf(tp_c_24__type__405___24t,type,
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thf(tp_c_24__type__417,type,
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thf(tp_c_24__type__417___24t,type,
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thf(tp_c_24__type__438,type,
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thf(tp_c_24__type__4596,type,
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thf(tp_c_24__type__4596___24t,type,
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thf(tp_c_24__type__462,type,
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    c_3d___24a1: $i > $i ).

thf(tp_happ,type,
    happ: $i > $i > $i ).

thf(tp_p,type,
    p: $i > $o ).

thf(tp_sK1_V0__P,type,
    sK1_V0__P: $i ).

thf(tp_sK2_SX0,type,
    sK2_SX0: $i ).

thf(tp_sK3_SX0,type,
    sK3_SX0: $i ).

thf(tp_t,type,
    t: $i > $i > $o ).

thf(1491,axiom,
    cProp___24t @ cCoq_2eInit_2eDatatypes_2eIDProp,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.IDProp') ).

thf(2068,axiom,
    ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vvar__10586: $i] :
      ( ( c_24__type__10585___24t @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vvar__10586 )
    <=> ( ( Vv__CANONICAL__1 = Vv__CANONICAL__1 )
       => ( cProp___24t @ Vvar__10586 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_type_10585') ).

thf(2089,axiom,
    ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i] :
      ( ( p @ ( c_24__prop__441___24a2 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 ) )
    <=> ( Vv__CANONICAL__0 != Vv__CANONICAL__1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_441') ).

thf(2090,axiom,
    ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i] :
      ( ( p @ ( c_24__prop__440___24a2 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 ) )
    <=> ( Vv__CANONICAL__0 = Vv__CANONICAL__1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_440') ).

thf(2091,axiom,
    ! [V0__x: $i,V1__y: $i] :
      ( ( p @ ( c_24__prop__32246___24a2 @ V0__x @ V1__y ) )
    <=> ( V0__x = V1__y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_32246') ).

thf(2092,axiom,
    ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23378: $i] :
      ( ( p @ ( c_24__prop__23386___24a2 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23378 ) )
    <=> ~ ( p @ Vvar__0__P__23378 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_23386') ).

thf(2093,axiom,
    ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23373: $i,Vvar__1__Q__23374: $i] :
      ( ( p @ ( c_24__prop__23385___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23373 @ Vvar__1__Q__23374 ) )
    <=> ( ( p @ Vvar__0__P__23373 )
       => ( p @ Vvar__1__Q__23374 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_23385') ).

thf(2094,axiom,
    ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23369: $i,Vvar__1__Q__23370: $i] :
      ( ( p @ ( c_24__prop__23384___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23369 @ Vvar__1__Q__23370 ) )
    <=> ( ( p @ Vvar__0__P__23369 )
        | ( p @ Vvar__1__Q__23370 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_23384') ).

thf(2095,axiom,
    ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23365: $i,Vvar__1__Q__23366: $i] :
      ( ( p @ ( c_24__prop__23383___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23365 @ Vvar__1__Q__23366 ) )
    <=> ( ( p @ Vvar__0__P__23365 )
        & ( p @ Vvar__1__Q__23366 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_23383') ).

thf(2097,axiom,
    ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__x__23361: $i,Vvar__1__y__23362: $i] :
      ( ( p @ ( c_24__prop__23381___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__x__23361 @ Vvar__1__y__23362 ) )
    <=> ( Vvar__0__x__23361 = Vvar__1__y__23362 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_23381') ).

thf(2098,axiom,
    ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__S__23358: $i,Vvar__1__x__23359: $i,Vvar__2__y__23360: $i] :
      ( ( p @ ( c_24__prop__23380___24a4 @ Vvar__0___24Anonymous__23356 @ Vvar__0__S__23358 @ Vvar__1__x__23359 @ Vvar__2__y__23360 ) )
    <=> ( Vvar__1__x__23359 = Vvar__2__y__23360 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_23380') ).

thf(2099,axiom,
    ! [V0__n: $i,V1__m: $i] :
      ( ( p @ ( c_24__prop__20885___24a2 @ V0__n @ V1__m ) )
    <=> ( V0__n = V1__m ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_20885') ).

thf(2100,axiom,
    ! [V0__X: $i,V1__x: $i] :
      ( ( p @ ( c_24__prop__166330___24a2 @ V0__X @ V1__x ) )
    <=> ( V1__x = V1__x ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_166330') ).

thf(2101,axiom,
    ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vv__CANONICAL__2: $i] :
      ( ( p @ ( c_24__prop__10582___24a3 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vv__CANONICAL__2 ) )
    <=> ( Vv__CANONICAL__1 != Vv__CANONICAL__2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_10582') ).

thf(2102,axiom,
    ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vv__CANONICAL__2: $i] :
      ( ( p @ ( c_24__prop__10581___24a3 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vv__CANONICAL__2 ) )
    <=> ( Vv__CANONICAL__1 = Vv__CANONICAL__2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_prop_10581') ).

thf(2461,axiom,
    ! [V0__P: $i] :
      ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ V0__P )
    <=> ( ( p @ V0__P )
        | ~ ( p @ V0__P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Coq.Logic.Decidable.decidable') ).

thf(2504,axiom,
    ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
  <=> ! [V0__A: $i] :
        ( ( cProp___24t @ V0__A )
       => ( ( p @ V0__A )
         => ( p @ V0__A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Coq.Init.Datatypes.IDProp') ).

thf(2537,axiom,
    ~ ( p @ c_24False ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_COQ_FALSE') ).

thf(2538,axiom,
    p @ c_24True,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_COQ_TRUE') ).

thf(2539,conjecture,
    ! [V0__P: $i] :
      ( ( cProp___24t @ V0__P )
     => ! [V1__Q: $i] :
          ( ( cProp___24t @ V1__Q )
         => ( ( V0__P = V1__Q )
           => ( ( p @ V0__P )
             => ( p @ V1__Q ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

thf(2540,negated_conjecture,
    ( ( ! [V0__P: $i] :
          ( ( cProp___24t @ V0__P )
         => ! [V1__Q: $i] :
              ( ( cProp___24t @ V1__Q )
             => ( ( V0__P = V1__Q )
               => ( ( p @ V0__P )
                 => ( p @ V1__Q ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[2539]) ).

thf(2541,plain,
    ( ( ! [V0__P: $i] :
          ( ( cProp___24t @ V0__P )
         => ! [V1__Q: $i] :
              ( ( cProp___24t @ V1__Q )
             => ( ( V0__P = V1__Q )
               => ( ( p @ V0__P )
                 => ( p @ V1__Q ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2540]) ).

thf(2542,plain,
    ( ( cProp___24t @ cCoq_2eInit_2eDatatypes_2eIDProp )
    = $true ),
    inference(unfold_def,[status(thm)],[1491]) ).

thf(2543,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vvar__10586: $i] :
          ( ( c_24__type__10585___24t @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vvar__10586 )
        <=> ( ( Vv__CANONICAL__1 = Vv__CANONICAL__1 )
           => ( cProp___24t @ Vvar__10586 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2068]) ).

thf(2544,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i] :
          ( ( p @ ( c_24__prop__441___24a2 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 ) )
        <=> ( Vv__CANONICAL__0 != Vv__CANONICAL__1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2089]) ).

thf(2545,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i] :
          ( ( p @ ( c_24__prop__440___24a2 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 ) )
        <=> ( Vv__CANONICAL__0 = Vv__CANONICAL__1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2090]) ).

thf(2546,plain,
    ( ( ! [V0__x: $i,V1__y: $i] :
          ( ( p @ ( c_24__prop__32246___24a2 @ V0__x @ V1__y ) )
        <=> ( V0__x = V1__y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2091]) ).

thf(2547,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23378: $i] :
          ( ( p @ ( c_24__prop__23386___24a2 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23378 ) )
        <=> ~ ( p @ Vvar__0__P__23378 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2092]) ).

thf(2548,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23373: $i,Vvar__1__Q__23374: $i] :
          ( ( p @ ( c_24__prop__23385___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23373 @ Vvar__1__Q__23374 ) )
        <=> ( ( p @ Vvar__0__P__23373 )
           => ( p @ Vvar__1__Q__23374 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2093]) ).

thf(2549,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23369: $i,Vvar__1__Q__23370: $i] :
          ( ( p @ ( c_24__prop__23384___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23369 @ Vvar__1__Q__23370 ) )
        <=> ( ( p @ Vvar__0__P__23369 )
            | ( p @ Vvar__1__Q__23370 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2094]) ).

thf(2550,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23365: $i,Vvar__1__Q__23366: $i] :
          ( ( p @ ( c_24__prop__23383___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23365 @ Vvar__1__Q__23366 ) )
        <=> ( ( p @ Vvar__0__P__23365 )
            & ( p @ Vvar__1__Q__23366 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2095]) ).

thf(2551,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__x__23361: $i,Vvar__1__y__23362: $i] :
          ( ( p @ ( c_24__prop__23381___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__x__23361 @ Vvar__1__y__23362 ) )
        <=> ( Vvar__0__x__23361 = Vvar__1__y__23362 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2097]) ).

thf(2552,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__S__23358: $i,Vvar__1__x__23359: $i,Vvar__2__y__23360: $i] :
          ( ( p @ ( c_24__prop__23380___24a4 @ Vvar__0___24Anonymous__23356 @ Vvar__0__S__23358 @ Vvar__1__x__23359 @ Vvar__2__y__23360 ) )
        <=> ( Vvar__1__x__23359 = Vvar__2__y__23360 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2098]) ).

thf(2553,plain,
    ( ( ! [V0__n: $i,V1__m: $i] :
          ( ( p @ ( c_24__prop__20885___24a2 @ V0__n @ V1__m ) )
        <=> ( V0__n = V1__m ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2099]) ).

thf(2554,plain,
    ( ( ! [V0__X: $i,V1__x: $i] :
          ( ( p @ ( c_24__prop__166330___24a2 @ V0__X @ V1__x ) )
        <=> ( V1__x = V1__x ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2100]) ).

thf(2555,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vv__CANONICAL__2: $i] :
          ( ( p @ ( c_24__prop__10582___24a3 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vv__CANONICAL__2 ) )
        <=> ( Vv__CANONICAL__1 != Vv__CANONICAL__2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2101]) ).

thf(2556,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vv__CANONICAL__2: $i] :
          ( ( p @ ( c_24__prop__10581___24a3 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vv__CANONICAL__2 ) )
        <=> ( Vv__CANONICAL__1 = Vv__CANONICAL__2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2102]) ).

thf(2557,plain,
    ( ( ! [V0__P: $i] :
          ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ V0__P )
        <=> ( ( p @ V0__P )
            | ~ ( p @ V0__P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2461]) ).

thf(2558,plain,
    ( ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
    <=> ! [V0__A: $i] :
          ( ( cProp___24t @ V0__A )
         => ( ( p @ V0__A )
           => ( p @ V0__A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2504]) ).

thf(2559,plain,
    ( ( ~ ( p @ c_24False ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2537]) ).

thf(2560,plain,
    ( ( p @ c_24True )
    = $true ),
    inference(unfold_def,[status(thm)],[2538]) ).

thf(2561,plain,
    ( ( ( cProp___24t @ sK1_V0__P )
     => ! [SY41: $i] :
          ( ( cProp___24t @ SY41 )
         => ( ( sK1_V0__P = SY41 )
           => ( ( p @ sK1_V0__P )
             => ( p @ SY41 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2541]) ).

thf(2562,plain,
    ( ( cProp___24t @ sK1_V0__P )
    = $true ),
    inference(standard_cnf,[status(thm)],[2561]) ).

thf(2563,plain,
    ( ( ! [SY41: $i] :
          ( ( cProp___24t @ SY41 )
         => ( ( sK1_V0__P = SY41 )
           => ( ( p @ sK1_V0__P )
             => ( p @ SY41 ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[2561]) ).

thf(2564,plain,
    ( ( ~ ! [SY41: $i] :
            ( ( cProp___24t @ SY41 )
           => ( ( sK1_V0__P = SY41 )
             => ( ( p @ sK1_V0__P )
               => ( p @ SY41 ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[2563]) ).

thf(2565,plain,
    ( ( p @ c_24True )
    = $true ),
    inference(copy,[status(thm)],[2560]) ).

thf(2566,plain,
    ( ( ~ ( p @ c_24False ) )
    = $true ),
    inference(copy,[status(thm)],[2559]) ).

thf(2567,plain,
    ( ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
    <=> ! [V0__A: $i] :
          ( ( cProp___24t @ V0__A )
         => ( ( p @ V0__A )
           => ( p @ V0__A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2558]) ).

thf(2568,plain,
    ( ( ! [V0__P: $i] :
          ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ V0__P )
        <=> ( ( p @ V0__P )
            | ~ ( p @ V0__P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2557]) ).

thf(2569,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vv__CANONICAL__2: $i] :
          ( ( p @ ( c_24__prop__10581___24a3 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vv__CANONICAL__2 ) )
        <=> ( Vv__CANONICAL__1 = Vv__CANONICAL__2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2556]) ).

thf(2570,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vv__CANONICAL__2: $i] :
          ( ( p @ ( c_24__prop__10582___24a3 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vv__CANONICAL__2 ) )
        <=> ( Vv__CANONICAL__1 != Vv__CANONICAL__2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2555]) ).

thf(2571,plain,
    ( ( ! [V0__X: $i,V1__x: $i] :
          ( ( p @ ( c_24__prop__166330___24a2 @ V0__X @ V1__x ) )
        <=> ( V1__x = V1__x ) ) )
    = $true ),
    inference(copy,[status(thm)],[2554]) ).

thf(2572,plain,
    ( ( ! [V0__n: $i,V1__m: $i] :
          ( ( p @ ( c_24__prop__20885___24a2 @ V0__n @ V1__m ) )
        <=> ( V0__n = V1__m ) ) )
    = $true ),
    inference(copy,[status(thm)],[2553]) ).

thf(2573,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__S__23358: $i,Vvar__1__x__23359: $i,Vvar__2__y__23360: $i] :
          ( ( p @ ( c_24__prop__23380___24a4 @ Vvar__0___24Anonymous__23356 @ Vvar__0__S__23358 @ Vvar__1__x__23359 @ Vvar__2__y__23360 ) )
        <=> ( Vvar__1__x__23359 = Vvar__2__y__23360 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2552]) ).

thf(2574,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__x__23361: $i,Vvar__1__y__23362: $i] :
          ( ( p @ ( c_24__prop__23381___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__x__23361 @ Vvar__1__y__23362 ) )
        <=> ( Vvar__0__x__23361 = Vvar__1__y__23362 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2551]) ).

thf(2575,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23365: $i,Vvar__1__Q__23366: $i] :
          ( ( p @ ( c_24__prop__23383___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23365 @ Vvar__1__Q__23366 ) )
        <=> ( ( p @ Vvar__0__P__23365 )
            & ( p @ Vvar__1__Q__23366 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2550]) ).

thf(2576,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23369: $i,Vvar__1__Q__23370: $i] :
          ( ( p @ ( c_24__prop__23384___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23369 @ Vvar__1__Q__23370 ) )
        <=> ( ( p @ Vvar__0__P__23369 )
            | ( p @ Vvar__1__Q__23370 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2549]) ).

thf(2577,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23373: $i,Vvar__1__Q__23374: $i] :
          ( ( p @ ( c_24__prop__23385___24a3 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23373 @ Vvar__1__Q__23374 ) )
        <=> ( ( p @ Vvar__0__P__23373 )
           => ( p @ Vvar__1__Q__23374 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2548]) ).

thf(2578,plain,
    ( ( ! [Vvar__0___24Anonymous__23356: $i,Vvar__0__P__23378: $i] :
          ( ( p @ ( c_24__prop__23386___24a2 @ Vvar__0___24Anonymous__23356 @ Vvar__0__P__23378 ) )
        <=> ~ ( p @ Vvar__0__P__23378 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2547]) ).

thf(2579,plain,
    ( ( ! [V0__x: $i,V1__y: $i] :
          ( ( p @ ( c_24__prop__32246___24a2 @ V0__x @ V1__y ) )
        <=> ( V0__x = V1__y ) ) )
    = $true ),
    inference(copy,[status(thm)],[2546]) ).

thf(2580,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i] :
          ( ( p @ ( c_24__prop__440___24a2 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 ) )
        <=> ( Vv__CANONICAL__0 = Vv__CANONICAL__1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2545]) ).

thf(2581,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i] :
          ( ( p @ ( c_24__prop__441___24a2 @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 ) )
        <=> ( Vv__CANONICAL__0 != Vv__CANONICAL__1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2544]) ).

thf(2582,plain,
    ( ( ! [Vv__CANONICAL__0: $i,Vv__CANONICAL__1: $i,Vvar__10586: $i] :
          ( ( c_24__type__10585___24t @ Vv__CANONICAL__0 @ Vv__CANONICAL__1 @ Vvar__10586 )
        <=> ( ( Vv__CANONICAL__1 = Vv__CANONICAL__1 )
           => ( cProp___24t @ Vvar__10586 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2543]) ).

thf(2583,plain,
    ( ( cProp___24t @ cCoq_2eInit_2eDatatypes_2eIDProp )
    = $true ),
    inference(copy,[status(thm)],[2542]) ).

thf(2584,plain,
    ( ( cProp___24t @ sK1_V0__P )
    = $true ),
    inference(copy,[status(thm)],[2562]) ).

thf(2585,plain,
    ( ( ~ ! [SY41: $i] :
            ( ( cProp___24t @ SY41 )
           => ( ( sK1_V0__P = SY41 )
             => ( ( p @ sK1_V0__P )
               => ( p @ SY41 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2564]) ).

thf(2586,plain,
    ( ( ~ ( ~ ( ~ ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
              | ! [SX0: $i] :
                  ( ~ ( cProp___24t @ SX0 )
                  | ~ ( p @ SX0 )
                  | ( p @ SX0 ) ) )
          | ~ ( ~ ! [SX0: $i] :
                    ( ~ ( cProp___24t @ SX0 )
                    | ~ ( p @ SX0 )
                    | ( p @ SX0 ) )
              | ( p @ cCoq_2eInit_2eDatatypes_2eIDProp ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2567]) ).

thf(2587,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__441___24a2 @ SX0 @ SX1 ) )
                | ( SX0 != SX1 ) )
            | ~ ( ~ ( ( SX0 != SX1 ) )
                | ( p @ ( c_24__prop__441___24a2 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2581]) ).

thf(2588,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__10582___24a3 @ SX0 @ SX1 @ SX2 ) )
                | ( SX1 != SX2 ) )
            | ~ ( ~ ( ( SX1 != SX2 ) )
                | ( p @ ( c_24__prop__10582___24a3 @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2570]) ).

thf(2589,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cProp___24t @ SX0 )
            | ( sK1_V0__P != SX0 )
            | ~ ( p @ sK1_V0__P )
            | ( p @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2585]) ).

thf(2590,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__23381___24a3 @ SX0 @ SX1 @ SX2 ) )
                | ( SX1 = SX2 ) )
            | ~ ( ( SX1 != SX2 )
                | ( p @ ( c_24__prop__23381___24a3 @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2574]) ).

thf(2591,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__23386___24a2 @ SX0 @ SX1 ) )
                | ~ ( p @ SX1 ) )
            | ~ ( ~ ~ ( p @ SX1 )
                | ( p @ ( c_24__prop__23386___24a2 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2578]) ).

thf(2592,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SX0 )
                | ( p @ SX0 )
                | ~ ( p @ SX0 ) )
            | ~ ( ~ ( ( p @ SX0 )
                    | ~ ( p @ SX0 ) )
                | ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2568]) ).

thf(2593,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__20885___24a2 @ SX0 @ SX1 ) )
                | ( SX0 = SX1 ) )
            | ~ ( ( SX0 != SX1 )
                | ( p @ ( c_24__prop__20885___24a2 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2572]) ).

thf(2594,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__23385___24a3 @ SX0 @ SX1 @ SX2 ) )
                | ~ ( p @ SX1 )
                | ( p @ SX2 ) )
            | ~ ( ~ ( ~ ( p @ SX1 )
                    | ( p @ SX2 ) )
                | ( p @ ( c_24__prop__23385___24a3 @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2577]) ).

thf(2595,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__10581___24a3 @ SX0 @ SX1 @ SX2 ) )
                | ( SX1 = SX2 ) )
            | ~ ( ( SX1 != SX2 )
                | ( p @ ( c_24__prop__10581___24a3 @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2569]) ).

thf(2596,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__23384___24a3 @ SX0 @ SX1 @ SX2 ) )
                | ( p @ SX1 )
                | ( p @ SX2 ) )
            | ~ ( ~ ( ( p @ SX1 )
                    | ( p @ SX2 ) )
                | ( p @ ( c_24__prop__23384___24a3 @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2576]) ).

thf(2597,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__32246___24a2 @ SX0 @ SX1 ) )
                | ( SX0 = SX1 ) )
            | ~ ( ( SX0 != SX1 )
                | ( p @ ( c_24__prop__32246___24a2 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2579]) ).

thf(2598,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( c_24__type__10585___24t @ SX0 @ SX1 @ SX2 )
                | ( SX1 != SX1 )
                | ( cProp___24t @ SX2 ) )
            | ~ ( ~ ( ( SX1 != SX1 )
                    | ( cProp___24t @ SX2 ) )
                | ( c_24__type__10585___24t @ SX0 @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2582]) ).

thf(2599,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__166330___24a2 @ SX0 @ SX1 ) )
                | ( SX1 = SX1 ) )
            | ~ ( ( SX1 != SX1 )
                | ( p @ ( c_24__prop__166330___24a2 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2571]) ).

thf(2600,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__23383___24a3 @ SX0 @ SX1 @ SX2 ) )
                | ~ ( ~ ( p @ SX1 )
                    | ~ ( p @ SX2 ) ) )
            | ~ ( ~ ~ ( ~ ( p @ SX1 )
                      | ~ ( p @ SX2 ) )
                | ( p @ ( c_24__prop__23383___24a3 @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2575]) ).

thf(2601,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__440___24a2 @ SX0 @ SX1 ) )
                | ( SX0 = SX1 ) )
            | ~ ( ( SX0 != SX1 )
                | ( p @ ( c_24__prop__440___24a2 @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2580]) ).

thf(2602,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ( ~ ( ~ ( p @ ( c_24__prop__23380___24a4 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                | ( SX2 = SX3 ) )
            | ~ ( ( SX2 != SX3 )
                | ( p @ ( c_24__prop__23380___24a4 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2573]) ).

thf(2603,plain,
    ( ( p @ c_24False )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2566]) ).

thf(2604,plain,
    ( ( ~ ( ~ ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
          | ! [SX0: $i] :
              ( ~ ( cProp___24t @ SX0 )
              | ~ ( p @ SX0 )
              | ( p @ SX0 ) ) )
      | ~ ( ~ ! [SX0: $i] :
                ( ~ ( cProp___24t @ SX0 )
                | ~ ( p @ SX0 )
                | ( p @ SX0 ) )
          | ( p @ cCoq_2eInit_2eDatatypes_2eIDProp ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2586]) ).

thf(2605,plain,
    ! [SV1: $i] :
      ( ( ! [SY42: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__441___24a2 @ SV1 @ SY42 ) )
                  | ( SV1 != SY42 ) )
              | ~ ( ~ ( ( SV1 != SY42 ) )
                  | ( p @ ( c_24__prop__441___24a2 @ SV1 @ SY42 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2587]) ).

thf(2606,plain,
    ! [SV2: $i] :
      ( ( ! [SY43: $i,SY44: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SY43 @ SY44 ) )
                  | ( SY43 != SY44 ) )
              | ~ ( ~ ( ( SY43 != SY44 ) )
                  | ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SY43 @ SY44 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2588]) ).

thf(2607,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cProp___24t @ SX0 )
          | ( sK1_V0__P != SX0 )
          | ~ ( p @ sK1_V0__P )
          | ( p @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2589]) ).

thf(2608,plain,
    ! [SV3: $i] :
      ( ( ! [SY45: $i,SY46: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SY45 @ SY46 ) )
                  | ( SY45 = SY46 ) )
              | ~ ( ( SY45 != SY46 )
                  | ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SY45 @ SY46 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2590]) ).

thf(2609,plain,
    ! [SV4: $i] :
      ( ( ! [SY47: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SY47 ) )
                  | ~ ( p @ SY47 ) )
              | ~ ( ~ ~ ( p @ SY47 )
                  | ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SY47 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2591]) ).

thf(2610,plain,
    ! [SV5: $i] :
      ( ( ~ ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
                | ( p @ SV5 )
                | ~ ( p @ SV5 ) )
            | ~ ( ~ ( ( p @ SV5 )
                    | ~ ( p @ SV5 ) )
                | ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2592]) ).

thf(2611,plain,
    ! [SV6: $i] :
      ( ( ! [SY48: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SY48 ) )
                  | ( SV6 = SY48 ) )
              | ~ ( ( SV6 != SY48 )
                  | ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SY48 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2593]) ).

thf(2612,plain,
    ! [SV7: $i] :
      ( ( ! [SY49: $i,SY50: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SY49 @ SY50 ) )
                  | ~ ( p @ SY49 )
                  | ( p @ SY50 ) )
              | ~ ( ~ ( ~ ( p @ SY49 )
                      | ( p @ SY50 ) )
                  | ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SY49 @ SY50 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2594]) ).

thf(2613,plain,
    ! [SV8: $i] :
      ( ( ! [SY51: $i,SY52: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SY51 @ SY52 ) )
                  | ( SY51 = SY52 ) )
              | ~ ( ( SY51 != SY52 )
                  | ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SY51 @ SY52 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2595]) ).

thf(2614,plain,
    ! [SV9: $i] :
      ( ( ! [SY53: $i,SY54: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SY53 @ SY54 ) )
                  | ( p @ SY53 )
                  | ( p @ SY54 ) )
              | ~ ( ~ ( ( p @ SY53 )
                      | ( p @ SY54 ) )
                  | ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SY53 @ SY54 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2596]) ).

thf(2615,plain,
    ! [SV10: $i] :
      ( ( ! [SY55: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SY55 ) )
                  | ( SV10 = SY55 ) )
              | ~ ( ( SV10 != SY55 )
                  | ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SY55 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2597]) ).

thf(2616,plain,
    ! [SV11: $i] :
      ( ( ! [SY56: $i,SY57: $i] :
            ~ ( ~ ( ~ ( c_24__type__10585___24t @ SV11 @ SY56 @ SY57 )
                  | ( SY56 != SY56 )
                  | ( cProp___24t @ SY57 ) )
              | ~ ( ~ ( ( SY56 != SY56 )
                      | ( cProp___24t @ SY57 ) )
                  | ( c_24__type__10585___24t @ SV11 @ SY56 @ SY57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2598]) ).

thf(2617,plain,
    ! [SV12: $i] :
      ( ( ! [SY58: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SY58 ) )
                  | ( SY58 = SY58 ) )
              | ~ ( ( SY58 != SY58 )
                  | ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SY58 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2599]) ).

thf(2618,plain,
    ! [SV13: $i] :
      ( ( ! [SY59: $i,SY60: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SY59 @ SY60 ) )
                  | ~ ( ~ ( p @ SY59 )
                      | ~ ( p @ SY60 ) ) )
              | ~ ( ~ ~ ( ~ ( p @ SY59 )
                        | ~ ( p @ SY60 ) )
                  | ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SY59 @ SY60 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2600]) ).

thf(2619,plain,
    ! [SV14: $i] :
      ( ( ! [SY61: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__440___24a2 @ SV14 @ SY61 ) )
                  | ( SV14 = SY61 ) )
              | ~ ( ( SV14 != SY61 )
                  | ( p @ ( c_24__prop__440___24a2 @ SV14 @ SY61 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2601]) ).

thf(2620,plain,
    ! [SV15: $i] :
      ( ( ! [SY62: $i,SY63: $i,SY64: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SY62 @ SY63 @ SY64 ) )
                  | ( SY63 = SY64 ) )
              | ~ ( ( SY63 != SY64 )
                  | ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SY62 @ SY63 @ SY64 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2602]) ).

thf(2621,plain,
    ( ( ~ ( ~ ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
          | ! [SX0: $i] :
              ( ~ ( cProp___24t @ SX0 )
              | ~ ( p @ SX0 )
              | ( p @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2604]) ).

thf(2622,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( cProp___24t @ SX0 )
                | ~ ( p @ SX0 )
                | ( p @ SX0 ) )
          | ( p @ cCoq_2eInit_2eDatatypes_2eIDProp ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2604]) ).

thf(2623,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
                | ( SV1 != SV16 ) )
            | ~ ( ~ ( ( SV1 != SV16 ) )
                | ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2605]) ).

thf(2624,plain,
    ! [SV17: $i,SV2: $i] :
      ( ( ! [SY65: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SY65 ) )
                  | ( SV17 != SY65 ) )
              | ~ ( ~ ( ( SV17 != SY65 ) )
                  | ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SY65 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2606]) ).

thf(2625,plain,
    ( ( ~ ( cProp___24t @ sK2_SX0 )
      | ( sK1_V0__P != sK2_SX0 )
      | ~ ( p @ sK1_V0__P )
      | ( p @ sK2_SX0 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2607]) ).

thf(2626,plain,
    ! [SV18: $i,SV3: $i] :
      ( ( ! [SY66: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SY66 ) )
                  | ( SV18 = SY66 ) )
              | ~ ( ( SV18 != SY66 )
                  | ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SY66 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2608]) ).

thf(2627,plain,
    ! [SV19: $i,SV4: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
                | ~ ( p @ SV19 ) )
            | ~ ( ~ ~ ( p @ SV19 )
                | ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2609]) ).

thf(2628,plain,
    ! [SV5: $i] :
      ( ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
            | ( p @ SV5 )
            | ~ ( p @ SV5 ) )
        | ~ ( ~ ( ( p @ SV5 )
                | ~ ( p @ SV5 ) )
            | ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2610]) ).

thf(2629,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) )
                | ( SV6 = SV20 ) )
            | ~ ( ( SV6 != SV20 )
                | ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2611]) ).

thf(2630,plain,
    ! [SV21: $i,SV7: $i] :
      ( ( ! [SY67: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SY67 ) )
                  | ~ ( p @ SV21 )
                  | ( p @ SY67 ) )
              | ~ ( ~ ( ~ ( p @ SV21 )
                      | ( p @ SY67 ) )
                  | ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SY67 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2612]) ).

thf(2631,plain,
    ! [SV22: $i,SV8: $i] :
      ( ( ! [SY68: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SY68 ) )
                  | ( SV22 = SY68 ) )
              | ~ ( ( SV22 != SY68 )
                  | ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SY68 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2613]) ).

thf(2632,plain,
    ! [SV23: $i,SV9: $i] :
      ( ( ! [SY69: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SY69 ) )
                  | ( p @ SV23 )
                  | ( p @ SY69 ) )
              | ~ ( ~ ( ( p @ SV23 )
                      | ( p @ SY69 ) )
                  | ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SY69 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2614]) ).

thf(2633,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) )
                | ( SV10 = SV24 ) )
            | ~ ( ( SV10 != SV24 )
                | ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2615]) ).

thf(2634,plain,
    ! [SV25: $i,SV11: $i] :
      ( ( ! [SY70: $i] :
            ~ ( ~ ( ~ ( c_24__type__10585___24t @ SV11 @ SV25 @ SY70 )
                  | ( SV25 != SV25 )
                  | ( cProp___24t @ SY70 ) )
              | ~ ( ~ ( ( SV25 != SV25 )
                      | ( cProp___24t @ SY70 ) )
                  | ( c_24__type__10585___24t @ SV11 @ SV25 @ SY70 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2616]) ).

thf(2635,plain,
    ! [SV26: $i,SV12: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) )
                | ( SV26 = SV26 ) )
            | ~ ( ( SV26 != SV26 )
                | ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2617]) ).

thf(2636,plain,
    ! [SV27: $i,SV13: $i] :
      ( ( ! [SY71: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SY71 ) )
                  | ~ ( ~ ( p @ SV27 )
                      | ~ ( p @ SY71 ) ) )
              | ~ ( ~ ~ ( ~ ( p @ SV27 )
                        | ~ ( p @ SY71 ) )
                  | ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SY71 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2618]) ).

thf(2637,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) )
                | ( SV14 = SV28 ) )
            | ~ ( ( SV14 != SV28 )
                | ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2619]) ).

thf(2638,plain,
    ! [SV29: $i,SV15: $i] :
      ( ( ! [SY72: $i,SY73: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SY72 @ SY73 ) )
                  | ( SY72 = SY73 ) )
              | ~ ( ( SY72 != SY73 )
                  | ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SY72 @ SY73 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2620]) ).

thf(2639,plain,
    ( ( ~ ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      | ! [SX0: $i] :
          ( ~ ( cProp___24t @ SX0 )
          | ~ ( p @ SX0 )
          | ( p @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2621]) ).

thf(2640,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cProp___24t @ SX0 )
            | ~ ( p @ SX0 )
            | ( p @ SX0 ) )
      | ( p @ cCoq_2eInit_2eDatatypes_2eIDProp ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2622]) ).

thf(2641,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
            | ( SV1 != SV16 ) )
        | ~ ( ~ ( ( SV1 != SV16 ) )
            | ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2623]) ).

thf(2642,plain,
    ! [SV30: $i,SV17: $i,SV2: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
                | ( SV17 != SV30 ) )
            | ~ ( ~ ( ( SV17 != SV30 ) )
                | ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2624]) ).

thf(2643,plain,
    ( ( ~ ( cProp___24t @ sK2_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2625]) ).

thf(2644,plain,
    ( ( ( sK1_V0__P != sK2_SX0 )
      | ~ ( p @ sK1_V0__P )
      | ( p @ sK2_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2625]) ).

thf(2645,plain,
    ! [SV31: $i,SV18: $i,SV3: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) )
                | ( SV18 = SV31 ) )
            | ~ ( ( SV18 != SV31 )
                | ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2626]) ).

thf(2646,plain,
    ! [SV19: $i,SV4: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
            | ~ ( p @ SV19 ) )
        | ~ ( ~ ~ ( p @ SV19 )
            | ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2627]) ).

thf(2647,plain,
    ! [SV5: $i] :
      ( ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
            | ( p @ SV5 )
            | ~ ( p @ SV5 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2628]) ).

thf(2648,plain,
    ! [SV5: $i] :
      ( ( ~ ( ~ ( ( p @ SV5 )
                | ~ ( p @ SV5 ) )
            | ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2628]) ).

thf(2649,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) )
            | ( SV6 = SV20 ) )
        | ~ ( ( SV6 != SV20 )
            | ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2629]) ).

thf(2650,plain,
    ! [SV32: $i,SV21: $i,SV7: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
                | ~ ( p @ SV21 )
                | ( p @ SV32 ) )
            | ~ ( ~ ( ~ ( p @ SV21 )
                    | ( p @ SV32 ) )
                | ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2630]) ).

thf(2651,plain,
    ! [SV33: $i,SV22: $i,SV8: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) )
                | ( SV22 = SV33 ) )
            | ~ ( ( SV22 != SV33 )
                | ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2631]) ).

thf(2652,plain,
    ! [SV34: $i,SV23: $i,SV9: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
                | ( p @ SV23 )
                | ( p @ SV34 ) )
            | ~ ( ~ ( ( p @ SV23 )
                    | ( p @ SV34 ) )
                | ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2632]) ).

thf(2653,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) )
            | ( SV10 = SV24 ) )
        | ~ ( ( SV10 != SV24 )
            | ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2633]) ).

thf(2654,plain,
    ! [SV35: $i,SV25: $i,SV11: $i] :
      ( ( ~ ( ~ ( ~ ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
                | ( SV25 != SV25 )
                | ( cProp___24t @ SV35 ) )
            | ~ ( ~ ( ( SV25 != SV25 )
                    | ( cProp___24t @ SV35 ) )
                | ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2634]) ).

thf(2655,plain,
    ! [SV26: $i,SV12: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) )
            | ( SV26 = SV26 ) )
        | ~ ( ( SV26 != SV26 )
            | ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2635]) ).

thf(2656,plain,
    ! [SV36: $i,SV27: $i,SV13: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
                | ~ ( ~ ( p @ SV27 )
                    | ~ ( p @ SV36 ) ) )
            | ~ ( ~ ~ ( ~ ( p @ SV27 )
                      | ~ ( p @ SV36 ) )
                | ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2636]) ).

thf(2657,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) )
            | ( SV14 = SV28 ) )
        | ~ ( ( SV14 != SV28 )
            | ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2637]) ).

thf(2658,plain,
    ! [SV37: $i,SV29: $i,SV15: $i] :
      ( ( ! [SY74: $i] :
            ~ ( ~ ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SY74 ) )
                  | ( SV37 = SY74 ) )
              | ~ ( ( SV37 != SY74 )
                  | ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SY74 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2638]) ).

thf(2659,plain,
    ( ( ( ~ ( p @ cCoq_2eInit_2eDatatypes_2eIDProp ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( cProp___24t @ SX0 )
            | ~ ( p @ SX0 )
            | ( p @ SX0 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2639]) ).

thf(2660,plain,
    ( ( ( ~ ! [SX0: $i] :
              ( ~ ( cProp___24t @ SX0 )
              | ~ ( p @ SX0 )
              | ( p @ SX0 ) ) )
      = $true )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2640]) ).

thf(2661,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
            | ( SV1 != SV16 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2641]) ).

thf(2662,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ~ ( ~ ( ( SV1 != SV16 ) )
            | ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2641]) ).

thf(2663,plain,
    ! [SV30: $i,SV17: $i,SV2: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
            | ( SV17 != SV30 ) )
        | ~ ( ~ ( ( SV17 != SV30 ) )
            | ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2642]) ).

thf(2664,plain,
    ( ( cProp___24t @ sK2_SX0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2643]) ).

thf(2665,plain,
    ( ( sK1_V0__P != sK2_SX0 )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2644]) ).

thf(2666,plain,
    ( ( ~ ( p @ sK1_V0__P )
      | ( p @ sK2_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2644]) ).

thf(2667,plain,
    ! [SV31: $i,SV18: $i,SV3: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) )
            | ( SV18 = SV31 ) )
        | ~ ( ( SV18 != SV31 )
            | ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2645]) ).

thf(2668,plain,
    ! [SV19: $i,SV4: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
            | ~ ( p @ SV19 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2646]) ).

thf(2669,plain,
    ! [SV4: $i,SV19: $i] :
      ( ( ~ ( ~ ~ ( p @ SV19 )
            | ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2646]) ).

thf(2670,plain,
    ! [SV5: $i] :
      ( ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        | ( p @ SV5 )
        | ~ ( p @ SV5 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2647]) ).

thf(2671,plain,
    ! [SV5: $i] :
      ( ( ~ ( ( p @ SV5 )
            | ~ ( p @ SV5 ) )
        | ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2648]) ).

thf(2672,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) )
            | ( SV6 = SV20 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2649]) ).

thf(2673,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ~ ( ( SV6 != SV20 )
            | ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2649]) ).

thf(2674,plain,
    ! [SV32: $i,SV21: $i,SV7: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
            | ~ ( p @ SV21 )
            | ( p @ SV32 ) )
        | ~ ( ~ ( ~ ( p @ SV21 )
                | ( p @ SV32 ) )
            | ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2650]) ).

thf(2675,plain,
    ! [SV33: $i,SV22: $i,SV8: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) )
            | ( SV22 = SV33 ) )
        | ~ ( ( SV22 != SV33 )
            | ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2651]) ).

thf(2676,plain,
    ! [SV34: $i,SV23: $i,SV9: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
            | ( p @ SV23 )
            | ( p @ SV34 ) )
        | ~ ( ~ ( ( p @ SV23 )
                | ( p @ SV34 ) )
            | ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2652]) ).

thf(2677,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) )
            | ( SV10 = SV24 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2653]) ).

thf(2678,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ~ ( ( SV10 != SV24 )
            | ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2653]) ).

thf(2679,plain,
    ! [SV35: $i,SV25: $i,SV11: $i] :
      ( ( ~ ( ~ ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
            | ( SV25 != SV25 )
            | ( cProp___24t @ SV35 ) )
        | ~ ( ~ ( ( SV25 != SV25 )
                | ( cProp___24t @ SV35 ) )
            | ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2654]) ).

thf(2680,plain,
    ! [SV26: $i,SV12: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) )
            | ( SV26 = SV26 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2655]) ).

thf(2681,plain,
    ! [SV12: $i,SV26: $i] :
      ( ( ~ ( ( SV26 != SV26 )
            | ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2655]) ).

thf(2682,plain,
    ! [SV36: $i,SV27: $i,SV13: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
            | ~ ( ~ ( p @ SV27 )
                | ~ ( p @ SV36 ) ) )
        | ~ ( ~ ~ ( ~ ( p @ SV27 )
                  | ~ ( p @ SV36 ) )
            | ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2656]) ).

thf(2683,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) )
            | ( SV14 = SV28 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2657]) ).

thf(2684,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ~ ( ( SV14 != SV28 )
            | ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2657]) ).

thf(2685,plain,
    ! [SV38: $i,SV37: $i,SV29: $i,SV15: $i] :
      ( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) )
                | ( SV37 = SV38 ) )
            | ~ ( ( SV37 != SV38 )
                | ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2658]) ).

thf(2686,plain,
    ( ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $false )
    | ( ( ! [SX0: $i] :
            ( ~ ( cProp___24t @ SX0 )
            | ~ ( p @ SX0 )
            | ( p @ SX0 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2659]) ).

thf(2687,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( cProp___24t @ SX0 )
            | ~ ( p @ SX0 )
            | ( p @ SX0 ) ) )
      = $false )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2660]) ).

thf(2688,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ~ ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
        | ( SV1 != SV16 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2661]) ).

thf(2689,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ~ ( ( SV1 != SV16 ) )
        | ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2662]) ).

thf(2690,plain,
    ! [SV30: $i,SV17: $i,SV2: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
            | ( SV17 != SV30 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2663]) ).

thf(2691,plain,
    ! [SV2: $i,SV30: $i,SV17: $i] :
      ( ( ~ ( ~ ( ( SV17 != SV30 ) )
            | ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2663]) ).

thf(2692,plain,
    ( ( sK1_V0__P = sK2_SX0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2665]) ).

thf(2693,plain,
    ( ( ~ ( p @ sK1_V0__P ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2666]) ).

thf(2694,plain,
    ( ( p @ sK2_SX0 )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2666]) ).

thf(2695,plain,
    ! [SV31: $i,SV18: $i,SV3: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) )
            | ( SV18 = SV31 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2667]) ).

thf(2696,plain,
    ! [SV3: $i,SV31: $i,SV18: $i] :
      ( ( ~ ( ( SV18 != SV31 )
            | ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2667]) ).

thf(2697,plain,
    ! [SV19: $i,SV4: $i] :
      ( ( ~ ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
        | ~ ( p @ SV19 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2668]) ).

thf(2698,plain,
    ! [SV4: $i,SV19: $i] :
      ( ( ~ ~ ( p @ SV19 )
        | ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2669]) ).

thf(2699,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 ) )
        = $true )
      | ( ( ( p @ SV5 )
          | ~ ( p @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2670]) ).

thf(2700,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( ( p @ SV5 )
              | ~ ( p @ SV5 ) ) )
        = $true )
      | ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2671]) ).

thf(2701,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ~ ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) )
        | ( SV6 = SV20 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2672]) ).

thf(2702,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ( SV6 != SV20 )
        | ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2673]) ).

thf(2703,plain,
    ! [SV32: $i,SV21: $i,SV7: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
            | ~ ( p @ SV21 )
            | ( p @ SV32 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2674]) ).

thf(2704,plain,
    ! [SV7: $i,SV32: $i,SV21: $i] :
      ( ( ~ ( ~ ( ~ ( p @ SV21 )
                | ( p @ SV32 ) )
            | ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2674]) ).

thf(2705,plain,
    ! [SV33: $i,SV22: $i,SV8: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) )
            | ( SV22 = SV33 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2675]) ).

thf(2706,plain,
    ! [SV8: $i,SV33: $i,SV22: $i] :
      ( ( ~ ( ( SV22 != SV33 )
            | ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2675]) ).

thf(2707,plain,
    ! [SV34: $i,SV23: $i,SV9: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
            | ( p @ SV23 )
            | ( p @ SV34 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2676]) ).

thf(2708,plain,
    ! [SV9: $i,SV34: $i,SV23: $i] :
      ( ( ~ ( ~ ( ( p @ SV23 )
                | ( p @ SV34 ) )
            | ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2676]) ).

thf(2709,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ~ ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) )
        | ( SV10 = SV24 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2677]) ).

thf(2710,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ( SV10 != SV24 )
        | ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2678]) ).

thf(2711,plain,
    ! [SV35: $i,SV25: $i,SV11: $i] :
      ( ( ~ ( ~ ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
            | ( SV25 != SV25 )
            | ( cProp___24t @ SV35 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2679]) ).

thf(2712,plain,
    ! [SV11: $i,SV35: $i,SV25: $i] :
      ( ( ~ ( ~ ( ( SV25 != SV25 )
                | ( cProp___24t @ SV35 ) )
            | ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2679]) ).

thf(2713,plain,
    ! [SV26: $i,SV12: $i] :
      ( ( ~ ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) )
        | ( SV26 = SV26 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2680]) ).

thf(2714,plain,
    ! [SV12: $i,SV26: $i] :
      ( ( ( SV26 != SV26 )
        | ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2681]) ).

thf(2715,plain,
    ! [SV36: $i,SV27: $i,SV13: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
            | ~ ( ~ ( p @ SV27 )
                | ~ ( p @ SV36 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2682]) ).

thf(2716,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ~ ( ~ ~ ( ~ ( p @ SV27 )
                  | ~ ( p @ SV36 ) )
            | ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2682]) ).

thf(2717,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ~ ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) )
        | ( SV14 = SV28 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2683]) ).

thf(2718,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ( SV14 != SV28 )
        | ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2684]) ).

thf(2719,plain,
    ! [SV38: $i,SV37: $i,SV29: $i,SV15: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) )
            | ( SV37 = SV38 ) )
        | ~ ( ( SV37 != SV38 )
            | ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2685]) ).

thf(2720,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( cProp___24t @ SV39 )
          | ~ ( p @ SV39 )
          | ( p @ SV39 ) )
        = $true )
      | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2686]) ).

thf(2721,plain,
    ( ( ( ~ ( cProp___24t @ sK3_SX0 )
        | ~ ( p @ sK3_SX0 )
        | ( p @ sK3_SX0 ) )
      = $false )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2687]) ).

thf(2722,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) ) )
        = $true )
      | ( ( SV1 != SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2688]) ).

thf(2723,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ( ~ ( ( SV1 != SV16 ) ) )
        = $true )
      | ( ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2689]) ).

thf(2724,plain,
    ! [SV30: $i,SV17: $i,SV2: $i] :
      ( ( ~ ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
        | ( SV17 != SV30 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2690]) ).

thf(2725,plain,
    ! [SV2: $i,SV30: $i,SV17: $i] :
      ( ( ~ ( ( SV17 != SV30 ) )
        | ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2691]) ).

thf(2726,plain,
    ( ( p @ sK1_V0__P )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2693]) ).

thf(2727,plain,
    ! [SV31: $i,SV18: $i,SV3: $i] :
      ( ( ~ ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) )
        | ( SV18 = SV31 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2695]) ).

thf(2728,plain,
    ! [SV3: $i,SV31: $i,SV18: $i] :
      ( ( ( SV18 != SV31 )
        | ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2696]) ).

thf(2729,plain,
    ! [SV19: $i,SV4: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( p @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2697]) ).

thf(2730,plain,
    ! [SV4: $i,SV19: $i] :
      ( ( ( ~ ~ ( p @ SV19 ) )
        = $true )
      | ( ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2698]) ).

thf(2731,plain,
    ! [SV5: $i] :
      ( ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $false )
      | ( ( ( p @ SV5 )
          | ~ ( p @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2699]) ).

thf(2732,plain,
    ! [SV5: $i] :
      ( ( ( ( p @ SV5 )
          | ~ ( p @ SV5 ) )
        = $false )
      | ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2700]) ).

thf(2733,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) ) )
        = $true )
      | ( ( SV6 = SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2701]) ).

thf(2734,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ( SV6 != SV20 )
        = $true )
      | ( ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2702]) ).

thf(2735,plain,
    ! [SV32: $i,SV21: $i,SV7: $i] :
      ( ( ~ ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        | ~ ( p @ SV21 )
        | ( p @ SV32 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2703]) ).

thf(2736,plain,
    ! [SV7: $i,SV32: $i,SV21: $i] :
      ( ( ~ ( ~ ( p @ SV21 )
            | ( p @ SV32 ) )
        | ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2704]) ).

thf(2737,plain,
    ! [SV33: $i,SV22: $i,SV8: $i] :
      ( ( ~ ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) )
        | ( SV22 = SV33 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2705]) ).

thf(2738,plain,
    ! [SV8: $i,SV33: $i,SV22: $i] :
      ( ( ( SV22 != SV33 )
        | ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2706]) ).

thf(2739,plain,
    ! [SV34: $i,SV23: $i,SV9: $i] :
      ( ( ~ ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
        | ( p @ SV23 )
        | ( p @ SV34 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2707]) ).

thf(2740,plain,
    ! [SV9: $i,SV34: $i,SV23: $i] :
      ( ( ~ ( ( p @ SV23 )
            | ( p @ SV34 ) )
        | ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2708]) ).

thf(2741,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) ) )
        = $true )
      | ( ( SV10 = SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2709]) ).

thf(2742,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ( SV10 != SV24 )
        = $true )
      | ( ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2710]) ).

thf(2743,plain,
    ! [SV35: $i,SV25: $i,SV11: $i] :
      ( ( ~ ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        | ( SV25 != SV25 )
        | ( cProp___24t @ SV35 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2711]) ).

thf(2744,plain,
    ! [SV11: $i,SV35: $i,SV25: $i] :
      ( ( ~ ( ( SV25 != SV25 )
            | ( cProp___24t @ SV35 ) )
        | ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2712]) ).

thf(2745,plain,
    ! [SV26: $i,SV12: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) ) )
        = $true )
      | ( ( SV26 = SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2713]) ).

thf(2746,plain,
    ! [SV12: $i,SV26: $i] :
      ( ( ( SV26 != SV26 )
        = $true )
      | ( ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2714]) ).

thf(2747,plain,
    ! [SV36: $i,SV27: $i,SV13: $i] :
      ( ( ~ ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        | ~ ( ~ ( p @ SV27 )
            | ~ ( p @ SV36 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2715]) ).

thf(2748,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ~ ~ ( ~ ( p @ SV27 )
              | ~ ( p @ SV36 ) )
        | ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2716]) ).

thf(2749,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) ) )
        = $true )
      | ( ( SV14 = SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2717]) ).

thf(2750,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ( SV14 != SV28 )
        = $true )
      | ( ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2718]) ).

thf(2751,plain,
    ! [SV38: $i,SV37: $i,SV29: $i,SV15: $i] :
      ( ( ~ ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) )
            | ( SV37 = SV38 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2719]) ).

thf(2752,plain,
    ! [SV29: $i,SV15: $i,SV38: $i,SV37: $i] :
      ( ( ~ ( ( SV37 != SV38 )
            | ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2719]) ).

thf(2753,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( cProp___24t @ SV39 ) )
        = $true )
      | ( ( ~ ( p @ SV39 )
          | ( p @ SV39 ) )
        = $true )
      | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2720]) ).

thf(2754,plain,
    ( ( ( ~ ( cProp___24t @ sK3_SX0 ) )
      = $false )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2721]) ).

thf(2755,plain,
    ( ( ( ~ ( p @ sK3_SX0 )
        | ( p @ sK3_SX0 ) )
      = $false )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2721]) ).

thf(2756,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
        = $false )
      | ( ( SV1 != SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2722]) ).

thf(2757,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ( SV1 != SV16 )
        = $false )
      | ( ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2723]) ).

thf(2758,plain,
    ! [SV30: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) ) )
        = $true )
      | ( ( SV17 != SV30 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2724]) ).

thf(2759,plain,
    ! [SV2: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( ( SV17 != SV30 ) ) )
        = $true )
      | ( ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2725]) ).

thf(2760,plain,
    ! [SV31: $i,SV18: $i,SV3: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) ) )
        = $true )
      | ( ( SV18 = SV31 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2727]) ).

thf(2761,plain,
    ! [SV3: $i,SV31: $i,SV18: $i] :
      ( ( ( SV18 != SV31 )
        = $true )
      | ( ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2728]) ).

thf(2762,plain,
    ! [SV19: $i,SV4: $i] :
      ( ( ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
        = $false )
      | ( ( ~ ( p @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2729]) ).

thf(2763,plain,
    ! [SV4: $i,SV19: $i] :
      ( ( ( ~ ( p @ SV19 ) )
        = $false )
      | ( ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2730]) ).

thf(2764,plain,
    ! [SV5: $i] :
      ( ( ( p @ SV5 )
        = $true )
      | ( ( ~ ( p @ SV5 ) )
        = $true )
      | ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2731]) ).

thf(2765,plain,
    ! [SV5: $i] :
      ( ( ( p @ SV5 )
        = $false )
      | ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2732]) ).

thf(2766,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( p @ SV5 ) )
        = $false )
      | ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2732]) ).

thf(2767,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) )
        = $false )
      | ( ( SV6 = SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2733]) ).

thf(2768,plain,
    ! [SV20: $i,SV6: $i] :
      ( ( ( SV6 = SV20 )
        = $false )
      | ( ( p @ ( c_24__prop__20885___24a2 @ SV6 @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2734]) ).

thf(2769,plain,
    ! [SV32: $i,SV21: $i,SV7: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( p @ SV21 )
          | ( p @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2735]) ).

thf(2770,plain,
    ! [SV7: $i,SV32: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( p @ SV21 )
              | ( p @ SV32 ) ) )
        = $true )
      | ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2736]) ).

thf(2771,plain,
    ! [SV33: $i,SV22: $i,SV8: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) ) )
        = $true )
      | ( ( SV22 = SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2737]) ).

thf(2772,plain,
    ! [SV8: $i,SV33: $i,SV22: $i] :
      ( ( ( SV22 != SV33 )
        = $true )
      | ( ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2738]) ).

thf(2773,plain,
    ! [SV34: $i,SV23: $i,SV9: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) ) )
        = $true )
      | ( ( ( p @ SV23 )
          | ( p @ SV34 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2739]) ).

thf(2774,plain,
    ! [SV9: $i,SV34: $i,SV23: $i] :
      ( ( ( ~ ( ( p @ SV23 )
              | ( p @ SV34 ) ) )
        = $true )
      | ( ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2740]) ).

thf(2775,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) )
        = $false )
      | ( ( SV10 = SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2741]) ).

thf(2776,plain,
    ! [SV24: $i,SV10: $i] :
      ( ( ( SV10 = SV24 )
        = $false )
      | ( ( p @ ( c_24__prop__32246___24a2 @ SV10 @ SV24 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2742]) ).

thf(2777,plain,
    ! [SV35: $i,SV25: $i,SV11: $i] :
      ( ( ( ~ ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 ) )
        = $true )
      | ( ( ( SV25 != SV25 )
          | ( cProp___24t @ SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2743]) ).

thf(2778,plain,
    ! [SV11: $i,SV35: $i,SV25: $i] :
      ( ( ( ~ ( ( SV25 != SV25 )
              | ( cProp___24t @ SV35 ) ) )
        = $true )
      | ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2744]) ).

thf(2779,plain,
    ! [SV26: $i,SV12: $i] :
      ( ( ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) )
        = $false )
      | ( ( SV26 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2745]) ).

thf(2780,plain,
    ! [SV12: $i,SV26: $i] :
      ( ( ( SV26 = SV26 )
        = $false )
      | ( ( p @ ( c_24__prop__166330___24a2 @ SV12 @ SV26 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2746]) ).

thf(2781,plain,
    ! [SV36: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( ~ ( p @ SV27 )
              | ~ ( p @ SV36 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2747]) ).

thf(2782,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( p @ SV27 )
                | ~ ( p @ SV36 ) ) )
        = $true )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2748]) ).

thf(2783,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) )
        = $false )
      | ( ( SV14 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2749]) ).

thf(2784,plain,
    ! [SV28: $i,SV14: $i] :
      ( ( ( SV14 = SV28 )
        = $false )
      | ( ( p @ ( c_24__prop__440___24a2 @ SV14 @ SV28 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2750]) ).

thf(2785,plain,
    ! [SV38: $i,SV37: $i,SV29: $i,SV15: $i] :
      ( ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) )
        | ( SV37 = SV38 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2751]) ).

thf(2786,plain,
    ! [SV29: $i,SV15: $i,SV38: $i,SV37: $i] :
      ( ( ( SV37 != SV38 )
        | ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2752]) ).

thf(2787,plain,
    ! [SV39: $i] :
      ( ( ( cProp___24t @ SV39 )
        = $false )
      | ( ( ~ ( p @ SV39 )
          | ( p @ SV39 ) )
        = $true )
      | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2753]) ).

thf(2788,plain,
    ( ( ( cProp___24t @ sK3_SX0 )
      = $true )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2754]) ).

thf(2789,plain,
    ( ( ( ~ ( p @ sK3_SX0 ) )
      = $false )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2755]) ).

thf(2790,plain,
    ( ( ( p @ sK3_SX0 )
      = $false )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2755]) ).

thf(2791,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ( SV1 = SV16 )
        = $false )
      | ( ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2756]) ).

thf(2792,plain,
    ! [SV16: $i,SV1: $i] :
      ( ( ( SV1 = SV16 )
        = $true )
      | ( ( p @ ( c_24__prop__441___24a2 @ SV1 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2757]) ).

thf(2793,plain,
    ! [SV30: $i,SV17: $i,SV2: $i] :
      ( ( ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
        = $false )
      | ( ( SV17 != SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2758]) ).

thf(2794,plain,
    ! [SV2: $i,SV30: $i,SV17: $i] :
      ( ( ( SV17 != SV30 )
        = $false )
      | ( ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2759]) ).

thf(2795,plain,
    ! [SV31: $i,SV18: $i,SV3: $i] :
      ( ( ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) )
        = $false )
      | ( ( SV18 = SV31 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2760]) ).

thf(2796,plain,
    ! [SV3: $i,SV31: $i,SV18: $i] :
      ( ( ( SV18 = SV31 )
        = $false )
      | ( ( p @ ( c_24__prop__23381___24a3 @ SV3 @ SV18 @ SV31 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2761]) ).

thf(2797,plain,
    ! [SV4: $i,SV19: $i] :
      ( ( ( p @ SV19 )
        = $false )
      | ( ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2762]) ).

thf(2798,plain,
    ! [SV4: $i,SV19: $i] :
      ( ( ( p @ SV19 )
        = $true )
      | ( ( p @ ( c_24__prop__23386___24a2 @ SV4 @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2763]) ).

thf(2799,plain,
    ! [SV5: $i] :
      ( ( ( p @ SV5 )
        = $false )
      | ( ( p @ SV5 )
        = $true )
      | ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2764]) ).

thf(2800,plain,
    ! [SV5: $i] :
      ( ( ( p @ SV5 )
        = $true )
      | ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV5 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2766]) ).

thf(2801,plain,
    ! [SV32: $i,SV21: $i,SV7: $i] :
      ( ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $false )
      | ( ( ~ ( p @ SV21 )
          | ( p @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2769]) ).

thf(2802,plain,
    ! [SV7: $i,SV32: $i,SV21: $i] :
      ( ( ( ~ ( p @ SV21 )
          | ( p @ SV32 ) )
        = $false )
      | ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2770]) ).

thf(2803,plain,
    ! [SV33: $i,SV22: $i,SV8: $i] :
      ( ( ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) )
        = $false )
      | ( ( SV22 = SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2771]) ).

thf(2804,plain,
    ! [SV8: $i,SV33: $i,SV22: $i] :
      ( ( ( SV22 = SV33 )
        = $false )
      | ( ( p @ ( c_24__prop__10581___24a3 @ SV8 @ SV22 @ SV33 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2772]) ).

thf(2805,plain,
    ! [SV34: $i,SV23: $i,SV9: $i] :
      ( ( ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
        = $false )
      | ( ( ( p @ SV23 )
          | ( p @ SV34 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2773]) ).

thf(2806,plain,
    ! [SV9: $i,SV34: $i,SV23: $i] :
      ( ( ( ( p @ SV23 )
          | ( p @ SV34 ) )
        = $false )
      | ( ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2774]) ).

thf(2807,plain,
    ! [SV35: $i,SV25: $i,SV11: $i] :
      ( ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $false )
      | ( ( ( SV25 != SV25 )
          | ( cProp___24t @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2777]) ).

thf(2808,plain,
    ! [SV11: $i,SV35: $i,SV25: $i] :
      ( ( ( ( SV25 != SV25 )
          | ( cProp___24t @ SV35 ) )
        = $false )
      | ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2778]) ).

thf(2809,plain,
    ! [SV36: $i,SV27: $i,SV13: $i] :
      ( ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $false )
      | ( ( ~ ( ~ ( p @ SV27 )
              | ~ ( p @ SV36 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2781]) ).

thf(2810,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( p @ SV27 )
              | ~ ( p @ SV36 ) ) )
        = $false )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2782]) ).

thf(2811,plain,
    ! [SV38: $i,SV37: $i,SV29: $i,SV15: $i] :
      ( ( ( ~ ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) ) )
        = $true )
      | ( ( SV37 = SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2785]) ).

thf(2812,plain,
    ! [SV29: $i,SV15: $i,SV38: $i,SV37: $i] :
      ( ( ( SV37 != SV38 )
        = $true )
      | ( ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2786]) ).

thf(2813,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( p @ SV39 ) )
        = $true )
      | ( ( p @ SV39 )
        = $true )
      | ( ( cProp___24t @ SV39 )
        = $false )
      | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2787]) ).

thf(2814,plain,
    ( ( ( p @ sK3_SX0 )
      = $true )
    | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2789]) ).

thf(2815,plain,
    ! [SV2: $i,SV30: $i,SV17: $i] :
      ( ( ( SV17 = SV30 )
        = $false )
      | ( ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2793]) ).

thf(2816,plain,
    ! [SV2: $i,SV30: $i,SV17: $i] :
      ( ( ( SV17 = SV30 )
        = $true )
      | ( ( p @ ( c_24__prop__10582___24a3 @ SV2 @ SV17 @ SV30 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2794]) ).

thf(2817,plain,
    ! [SV7: $i,SV32: $i,SV21: $i] :
      ( ( ( ~ ( p @ SV21 ) )
        = $true )
      | ( ( p @ SV32 )
        = $true )
      | ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2801]) ).

thf(2818,plain,
    ! [SV32: $i,SV7: $i,SV21: $i] :
      ( ( ( ~ ( p @ SV21 ) )
        = $false )
      | ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2802]) ).

thf(2819,plain,
    ! [SV21: $i,SV7: $i,SV32: $i] :
      ( ( ( p @ SV32 )
        = $false )
      | ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2802]) ).

thf(2820,plain,
    ! [SV9: $i,SV34: $i,SV23: $i] :
      ( ( ( p @ SV23 )
        = $true )
      | ( ( p @ SV34 )
        = $true )
      | ( ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2805]) ).

thf(2821,plain,
    ! [SV34: $i,SV9: $i,SV23: $i] :
      ( ( ( p @ SV23 )
        = $false )
      | ( ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2806]) ).

thf(2822,plain,
    ! [SV23: $i,SV9: $i,SV34: $i] :
      ( ( ( p @ SV34 )
        = $false )
      | ( ( p @ ( c_24__prop__23384___24a3 @ SV9 @ SV23 @ SV34 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2806]) ).

thf(2823,plain,
    ! [SV11: $i,SV35: $i,SV25: $i] :
      ( ( ( SV25 != SV25 )
        = $true )
      | ( ( cProp___24t @ SV35 )
        = $true )
      | ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2807]) ).

thf(2824,plain,
    ! [SV35: $i,SV11: $i,SV25: $i] :
      ( ( ( SV25 != SV25 )
        = $false )
      | ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2808]) ).

thf(2825,plain,
    ! [SV25: $i,SV11: $i,SV35: $i] :
      ( ( ( cProp___24t @ SV35 )
        = $false )
      | ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2808]) ).

thf(2826,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( p @ SV27 )
          | ~ ( p @ SV36 ) )
        = $false )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2809]) ).

thf(2827,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( p @ SV27 )
          | ~ ( p @ SV36 ) )
        = $true )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2810]) ).

thf(2828,plain,
    ! [SV38: $i,SV37: $i,SV29: $i,SV15: $i] :
      ( ( ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) )
        = $false )
      | ( ( SV37 = SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2811]) ).

thf(2829,plain,
    ! [SV29: $i,SV15: $i,SV38: $i,SV37: $i] :
      ( ( ( SV37 = SV38 )
        = $false )
      | ( ( p @ ( c_24__prop__23380___24a4 @ SV15 @ SV29 @ SV37 @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2812]) ).

thf(2830,plain,
    ! [SV39: $i] :
      ( ( ( p @ SV39 )
        = $false )
      | ( ( p @ SV39 )
        = $true )
      | ( ( cProp___24t @ SV39 )
        = $false )
      | ( ( p @ cCoq_2eInit_2eDatatypes_2eIDProp )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2813]) ).

thf(2831,plain,
    ! [SV7: $i,SV32: $i,SV21: $i] :
      ( ( ( p @ SV21 )
        = $false )
      | ( ( p @ SV32 )
        = $true )
      | ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2817]) ).

thf(2832,plain,
    ! [SV32: $i,SV7: $i,SV21: $i] :
      ( ( ( p @ SV21 )
        = $true )
      | ( ( p @ ( c_24__prop__23385___24a3 @ SV7 @ SV21 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2818]) ).

thf(2833,plain,
    ! [SV11: $i,SV35: $i,SV25: $i] :
      ( ( ( SV25 = SV25 )
        = $false )
      | ( ( cProp___24t @ SV35 )
        = $true )
      | ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2823]) ).

thf(2834,plain,
    ! [SV35: $i,SV11: $i,SV25: $i] :
      ( ( ( SV25 = SV25 )
        = $true )
      | ( ( c_24__type__10585___24t @ SV11 @ SV25 @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2824]) ).

thf(2835,plain,
    ! [SV36: $i,SV13: $i,SV27: $i] :
      ( ( ( ~ ( p @ SV27 ) )
        = $false )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2826]) ).

thf(2836,plain,
    ! [SV27: $i,SV13: $i,SV36: $i] :
      ( ( ( ~ ( p @ SV36 ) )
        = $false )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2826]) ).

thf(2837,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( p @ SV27 ) )
        = $true )
      | ( ( ~ ( p @ SV36 ) )
        = $true )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2827]) ).

thf(2838,plain,
    ! [SV36: $i,SV13: $i,SV27: $i] :
      ( ( ( p @ SV27 )
        = $true )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2835]) ).

thf(2839,plain,
    ! [SV27: $i,SV13: $i,SV36: $i] :
      ( ( ( p @ SV36 )
        = $true )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2836]) ).

thf(2840,plain,
    ! [SV13: $i,SV36: $i,SV27: $i] :
      ( ( ( p @ SV27 )
        = $false )
      | ( ( ~ ( p @ SV36 ) )
        = $true )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2837]) ).

thf(2841,plain,
    ! [SV13: $i,SV27: $i,SV36: $i] :
      ( ( ( p @ SV36 )
        = $false )
      | ( ( p @ SV27 )
        = $false )
      | ( ( p @ ( c_24__prop__23383___24a3 @ SV13 @ SV27 @ SV36 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2840]) ).

thf(2842,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[2565,2841,2839,2838,2834,2833,2832,2831,2830,2829,2828,2825,2822,2821,2820,2819,2816,2815,2814,2804,2803,2800,2799,2798,2797,2796,2795,2792,2791,2790,2788,2784,2783,2780,2779,2776,2775,2768,2767,2765,2726,2694,2692,2664,2603,2584,2583]) ).

thf(2843,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[2842]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.21  % Computer : n007.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.21  % CPULimit : 300
% 0.08/0.21  % WCLimit  : 300
% 0.08/0.21  % DateTime : Tue Oct  6 15:48:22 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.83/6.68  .....................
% 37.83/6.68  
% 37.83/6.68   No.of.Axioms: 19
% 37.83/6.68  
% 37.83/6.68   Length.of.Defs: 0
% 37.83/6.68  
% 37.83/6.68   Contains.Choice.Funs: false
% 37.83/6.68  .............................
% 37.83/6.68  
% 37.83/6.68  ********************************
% 37.83/6.68  *   All subproblems solved!    *
% 37.83/6.68  ********************************
% 37.83/6.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:20,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:296,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2842,loop_count:0,foatp_calls:1,translation:fof_full)
% 37.83/6.68  
% 37.83/6.68  %**** Beginning of derivation protocol ****
% 37.83/6.68  % SZS output start CNFRefutation
% See solution above
% 37.83/6.68  
% 37.83/6.68  %**** End of derivation protocol ****
% 37.83/6.68  %**** no. of clauses in derivation: 324 ****
% 37.83/6.68  %**** clause counter: 2842 ****
% 37.83/6.68  
% 37.83/6.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:20,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:296,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2842,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------