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

%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV679+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 : n016.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 10:50:30 AM UTC 2026

% Result   : Theorem 52.46s 10.93s
% Output   : CNFRefutation 52.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  523 ( 188 unt;   0 typ;   0 def)
%            Number of atoms       : 6879 (1829 equ;   0 cnn)
%            Maximal formula atoms :   13 (  13 avg)
%            Number of connectives : 15943 (2396   ~;2544   |;  54   &;10625   @)
%                                         (  15 <=>; 309  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 2763 (2760 usr;1352 con; 0-23 aty)
%            Number of variables   : 2136 (   0   ^;2117   !;  19   ?;2136   :)

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

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

thf(tp_cCoq_2eArith_2eBetween_2ebetween,type,
    cCoq_2eArith_2eBetween_2ebetween: $i ).

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

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

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

thf(tp_cCoq_2eArith_2eCompare__dec_2ele__lt__eq__dec,type,
    cCoq_2eArith_2eCompare__dec_2ele__lt__eq__dec: $i ).

thf(tp_cCoq_2eArith_2eCompare__dec_2ele__lt__eq__dec___24a2,type,
    cCoq_2eArith_2eCompare__dec_2ele__lt__eq__dec___24a2: $i > $i > $i ).

thf(tp_cCoq_2eArith_2eCompare__dec_2elt__eq__lt__dec,type,
    cCoq_2eArith_2eCompare__dec_2elt__eq__lt__dec: $i ).

thf(tp_cCoq_2eArith_2eCompare__dec_2elt__eq__lt__dec___24a2,type,
    cCoq_2eArith_2eCompare__dec_2elt__eq__lt__dec___24a2: $i > $i > $i ).

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_2eLt_2ele__not__lt,type,
    cCoq_2eArith_2eLt_2ele__not__lt: $i ).

thf(tp_cCoq_2eArith_2eLt_2ele__not__lt___24a2,type,
    cCoq_2eArith_2eLt_2ele__not__lt___24a2: $i > $i > $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2edivmod,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2edivmod: $i ).

thf(tp_cCoq_2eArith_2ePeanoNat_2eNat_2edivmod___24a4,type,
    cCoq_2eArith_2ePeanoNat_2eNat_2edivmod___24a4: $i > $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eBool_2eBool_2eifb,type,
    cCoq_2eBool_2eBool_2eifb: $i ).

thf(tp_cCoq_2eBool_2eBool_2eifb___24a3,type,
    cCoq_2eBool_2eBool_2eifb___24a3: $i > $i > $i > $i ).

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

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

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

thf(tp_cCoq_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_2eReflexive,type,
    cCoq_2eClasses_2eRelationClasses_2eReflexive: $i ).

thf(tp_cCoq_2eClasses_2eRelationClasses_2eReflexive___24a2,type,
    cCoq_2eClasses_2eRelationClasses_2eReflexive___24a2: $i > $i > $o ).

thf(tp_cCoq_2eClasses_2eRelationClasses_2eSymmetric,type,
    cCoq_2eClasses_2eRelationClasses_2eSymmetric: $i ).

thf(tp_cCoq_2eClasses_2eRelationClasses_2eSymmetric___24a2,type,
    cCoq_2eClasses_2eRelationClasses_2eSymmetric___24a2: $i > $i > $o ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2ebits__lt,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eE_2ebits__lt: $i ).

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

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

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

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_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_2ect,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2ect: $i ).

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

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

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

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2efilter,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2efilter: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2efilter___24a2,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2efilter___24a2: $i > $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,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2erev: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2erev___24a1,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2erev___24a1: $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_2eFSets_2eFSetPositive_2ePositiveSet_2exfilter,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2exfilter: $i ).

thf(tp_cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2exfilter___24a3,type,
    cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2exfilter___24a3: $i > $i > $i > $i ).

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

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

thf(tp_cCoq_2eInit_2eByte_2eof__bits,type,
    cCoq_2eInit_2eByte_2eof__bits: $i ).

thf(tp_cCoq_2eInit_2eByte_2eof__bits___24a1,type,
    cCoq_2eInit_2eByte_2eof__bits___24a1: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_2eCompEqT,type,
    cCoq_2eInit_2eDatatypes_2eCompEqT: $i ).

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_2eCompareSpecT,type,
    cCoq_2eInit_2eDatatypes_2eCompareSpecT: $i ).

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_2eID,type,
    cCoq_2eInit_2eDatatypes_2eID: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_2eeq__true,type,
    cCoq_2eInit_2eDatatypes_2eeq__true: $i ).

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_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___24a4,type,
    cCoq_2eInit_2eDatatypes_2enat__rect___24a4: $i > $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_2eprod__rec,type,
    cCoq_2eInit_2eDatatypes_2eprod__rec: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod__rec___24a3,type,
    cCoq_2eInit_2eDatatypes_2eprod__rec___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod__rect,type,
    cCoq_2eInit_2eDatatypes_2eprod__rect: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod__rect___24a3,type,
    cCoq_2eInit_2eDatatypes_2eprod__rect___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod__rect___24a5,type,
    cCoq_2eInit_2eDatatypes_2eprod__rect___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod__uncurry,type,
    cCoq_2eInit_2eDatatypes_2eprod__uncurry: $i ).

thf(tp_cCoq_2eInit_2eDatatypes_2eprod__uncurry___24a6,type,
    cCoq_2eInit_2eDatatypes_2eprod__uncurry___24a6: $i > $i > $i > $i > $i > $i > $i ).

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

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

thf(tp_cCoq_2eInit_2eDatatypes_2esum,type,
    cCoq_2eInit_2eDatatypes_2esum: $i ).

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDatatypes_2exorb,type,
    cCoq_2eInit_2eDatatypes_2exorb: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eDecimal_2enb__digits,type,
    cCoq_2eInit_2eDecimal_2enb__digits: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2enb__digits___24a1,type,
    cCoq_2eInit_2eDecimal_2enb__digits___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2erev,type,
    cCoq_2eInit_2eDecimal_2erev: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2erev___24a1,type,
    cCoq_2eInit_2eDecimal_2erev___24a1: $i > $i ).

thf(tp_cCoq_2eInit_2eDecimal_2erevapp,type,
    cCoq_2eInit_2eDecimal_2erevapp: $i ).

thf(tp_cCoq_2eInit_2eDecimal_2erevapp___24a2,type,
    cCoq_2eInit_2eDecimal_2erevapp___24a2: $i > $i > $i ).

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

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

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

thf(tp_cCoq_2eInit_2eLogic_2eFalse__rec___24a2,type,
    cCoq_2eInit_2eLogic_2eFalse__rec___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__Type_2enotT,type,
    cCoq_2eInit_2eLogic__Type_2enotT: $i ).

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

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

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

thf(tp_cCoq_2eInit_2eNat_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_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_2emax,type,
    cCoq_2eInit_2eNat_2emax: $i ).

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

thf(tp_cCoq_2eInit_2eNat_2emin,type,
    cCoq_2eInit_2eNat_2emin: $i ).

thf(tp_cCoq_2eInit_2eNat_2emin___24a2,type,
    cCoq_2eInit_2eNat_2emin___24a2: $i > $i > $i ).

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eNat_2esucc,type,
    cCoq_2eInit_2eNat_2esucc: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eInit_2eSpecif_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_2eAcc__inv,type,
    cCoq_2eInit_2eWf_2eAcc__inv: $i ).

thf(tp_cCoq_2eInit_2eWf_2eAcc__inv___24a4,type,
    cCoq_2eInit_2eWf_2eAcc__inv___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eWf_2eFix__F__2,type,
    cCoq_2eInit_2eWf_2eFix__F__2: $i ).

thf(tp_cCoq_2eInit_2eWf_2eFix__F__2___24a7,type,
    cCoq_2eInit_2eWf_2eFix__F__2___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eInit_2eWf_2eFix__F__2___24a8,type,
    cCoq_2eInit_2eWf_2eFix__F__2___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

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_2eInit_2eWf_2ewell__founded__induction__type__2,type,
    cCoq_2eInit_2eWf_2ewell__founded__induction__type__2: $i ).

thf(tp_cCoq_2eInit_2eWf_2ewell__founded__induction__type__2___24a7,type,
    cCoq_2eInit_2eWf_2ewell__founded__induction__type__2___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

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

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

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

thf(tp_cCoq_2eLists_2eList_2eForall2,type,
    cCoq_2eLists_2eList_2eForall2: $i ).

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

thf(tp_cCoq_2eLists_2eList_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_2ecombine,type,
    cCoq_2eLists_2eList_2ecombine: $i ).

thf(tp_cCoq_2eLists_2eList_2ecombine___24a4,type,
    cCoq_2eLists_2eList_2ecombine___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eLists_2eList_2eflat__map,type,
    cCoq_2eLists_2eList_2eflat__map: $i ).

thf(tp_cCoq_2eLists_2eList_2eflat__map___24a4,type,
    cCoq_2eLists_2eList_2eflat__map___24a4: $i > $i > $i > $i > $i ).

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

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

thf(tp_cCoq_2eLists_2eList_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_2eList_2epartition,type,
    cCoq_2eLists_2eList_2epartition: $i ).

thf(tp_cCoq_2eLists_2eList_2epartition___24a3,type,
    cCoq_2eLists_2eList_2epartition___24a3: $i > $i > $i > $i ).

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

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

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

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

thf(tp_cCoq_2eLists_2eSetoidList_2eeqlistA,type,
    cCoq_2eLists_2eSetoidList_2eeqlistA: $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eLogic_2eEqdepFacts_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_2eLogic_2eJMeq_2eJMeq,type,
    cCoq_2eLogic_2eJMeq_2eJMeq: $i ).

thf(tp_cCoq_2eLogic_2eJMeq_2eJMeq___24a4,type,
    cCoq_2eLogic_2eJMeq_2eJMeq___24a4: $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__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_2eleb,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2eleb: $i ).

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

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

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

thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_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__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_2et,type,
    cCoq_2eNArith_2eBinNatDef_2eN_2et: $i ).

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

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ediv__eucl,type,
    cCoq_2eNArith_2eBinNat_2eN_2ediv__eucl: $i ).

thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ediv__eucl___24a2,type,
    cCoq_2eNArith_2eBinNat_2eN_2ediv__eucl___24a2: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2___24a1: $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_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_2eggcd,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eggcd: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eggcd___24a2,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eggcd___24a2: $i > $i > $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eggcdn,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eggcdn: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eggcdn___24a3,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eggcdn___24a3: $i > $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_2eleb,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2eleb: $i ).

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

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_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_2emul,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2emul: $i ).

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

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

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

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

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

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esize__nat,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esize__nat: $i ).

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esize__nat___24a1,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2esize__nat___24a1: $i > $i ).

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

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

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

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

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

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

thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2et,type,
    cCoq_2ePArith_2eBinPosDef_2ePos_2et: $i ).

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

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

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

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eIsNeg,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eIsNeg: $i ).

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_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_2eiter,type,
    cCoq_2ePArith_2eBinPos_2ePos_2eiter: $i ).

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

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

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

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

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

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2emask,type,
    cCoq_2ePArith_2eBinPos_2ePos_2emask: $i ).

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

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

thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2et___24t,type,
    cCoq_2ePArith_2eBinPos_2ePos_2et___24t: $i > $o ).

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eReals_2eRIneq_2emknegreal,type,
    cCoq_2eReals_2eRIneq_2emknegreal: $i ).

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

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

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

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

thf(tp_cCoq_2eReals_2eRIneq_2emknonposreal___24a1,type,
    cCoq_2eReals_2eRIneq_2emknonposreal___24a1: $i > $i ).

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

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

thf(tp_cCoq_2eReals_2eRIneq_2emkposreal,type,
    cCoq_2eReals_2eRIneq_2emkposreal: $i ).

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eReals_2eRIneq_2eposreal,type,
    cCoq_2eReals_2eRIneq_2eposreal: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eSets_2eRelations__1_2eRelation,type,
    cCoq_2eSets_2eRelations__1_2eRelation: $i ).

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

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

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

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

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

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

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

thf(tp_cCoq_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_2ebyte__of__ascii,type,
    cCoq_2eStrings_2eAscii_2ebyte__of__ascii: $i ).

thf(tp_cCoq_2eStrings_2eAscii_2ebyte__of__ascii___24a1,type,
    cCoq_2eStrings_2eAscii_2ebyte__of__ascii___24a1: $i > $i ).

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

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

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

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

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

thf(tp_cCoq_2eStrings_2eString_2estring,type,
    cCoq_2eStrings_2eString_2estring: $i ).

thf(tp_cCoq_2eStrings_2eString_2estring___24t,type,
    cCoq_2eStrings_2eString_2estring___24t: $i > $o ).

thf(tp_cCoq_2eStrings_2eString_2estring__dec,type,
    cCoq_2eStrings_2eString_2estring__dec: $i ).

thf(tp_cCoq_2eStrings_2eString_2estring__dec___24a2,type,
    cCoq_2eStrings_2eString_2estring__dec___24a2: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2eNat__as__OT_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt___24a2,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2ebits__lt___24a2: $i > $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2eeq: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2elt,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2elt: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et: $i ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et___24t,type,
    cCoq_2eStructures_2eOrderedTypeEx_2ePositiveOrderedTypeBits_2et___24t: $i > $o ).

thf(tp_cCoq_2eStructures_2eOrderedTypeEx_2ePositive__as__OT_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_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_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_2eappend,type,
    cCoq_2eVectors_2eVectorDef_2eappend: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2eappend___24a5,type,
    cCoq_2eVectors_2eVectorDef_2eappend___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2ecaseS,type,
    cCoq_2eVectors_2eVectorDef_2ecaseS: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2ecaseS___24a3,type,
    cCoq_2eVectors_2eVectorDef_2ecaseS___24a3: $i > $i > $i > $i ).

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_2ehd,type,
    cCoq_2eVectors_2eVectorDef_2ehd: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2ehd___24a1,type,
    cCoq_2eVectors_2eVectorDef_2ehd___24a1: $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_2esplitat,type,
    cCoq_2eVectors_2eVectorDef_2esplitat: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2esplitat___24a4,type,
    cCoq_2eVectors_2eVectorDef_2esplitat___24a4: $i > $i > $i > $i > $i ).

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

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

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

thf(tp_cCoq_2eVectors_2eVectorDef_2etl,type,
    cCoq_2eVectors_2eVectorDef_2etl: $i ).

thf(tp_cCoq_2eVectors_2eVectorDef_2etl___24a1,type,
    cCoq_2eVectors_2eVectorDef_2etl___24a1: $i > $i ).

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

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

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

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

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

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

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

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

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___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_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_2egtb,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2egtb: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2egtb___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2egtb___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_2eltb,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eltb: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eltb___24a2,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eltb___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_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_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__int,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__int: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__int___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__int___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_2eof__uint,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__uint: $i ).

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__uint___24a1,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2eof__uint___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_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_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_2esub,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2esub: $i ).

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

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

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

thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2et,type,
    cCoq_2eZArith_2eBinIntDef_2eZ_2et: $i ).

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

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

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

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

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

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

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeq,type,
    cCoq_2eZArith_2eBinInt_2eZ_2eeq: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_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 > $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2egt,type,
    cCoq_2eZArith_2eBinInt_2eZ_2egt: $i ).

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

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

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

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

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

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

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

thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ezero,type,
    cCoq_2eZArith_2eBinInt_2eZ_2ezero: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZne,type,
    cCoq_2eZArith_2eBinInt_2eZne: $i ).

thf(tp_cCoq_2eZArith_2eBinInt_2eZne___24a2,type,
    cCoq_2eZArith_2eBinInt_2eZne___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZbool_2eZeq__bool,type,
    cCoq_2eZArith_2eZbool_2eZeq__bool: $i ).

thf(tp_cCoq_2eZArith_2eZbool_2eZeq__bool___24a2,type,
    cCoq_2eZArith_2eZbool_2eZeq__bool___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZeven_2eZeven,type,
    cCoq_2eZArith_2eZeven_2eZeven: $i ).

thf(tp_cCoq_2eZArith_2eZeven_2eZeven___24a1,type,
    cCoq_2eZArith_2eZeven_2eZeven___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZeven_2eZodd,type,
    cCoq_2eZArith_2eZeven_2eZodd: $i ).

thf(tp_cCoq_2eZArith_2eZeven_2eZodd___24a1,type,
    cCoq_2eZArith_2eZeven_2eZodd___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZlogarithm_2eIs__power,type,
    cCoq_2eZArith_2eZlogarithm_2eIs__power: $i ).

thf(tp_cCoq_2eZArith_2eZlogarithm_2eIs__power___24a1,type,
    cCoq_2eZArith_2eZlogarithm_2eIs__power___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eBezout,type,
    cCoq_2eZArith_2eZnumtheory_2eBezout: $i ).

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

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

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

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

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

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

thf(tp_cCoq_2eZArith_2eZnumtheory_2eZis__gcd,type,
    cCoq_2eZArith_2eZnumtheory_2eZis__gcd: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3,type,
    cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3: $i > $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eprime,type,
    cCoq_2eZArith_2eZnumtheory_2eprime: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2eprime___24a1,type,
    cCoq_2eZArith_2eZnumtheory_2eprime___24a1: $i > $o ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2erel__prime,type,
    cCoq_2eZArith_2eZnumtheory_2erel__prime: $i ).

thf(tp_cCoq_2eZArith_2eZnumtheory_2erel__prime___24a2,type,
    cCoq_2eZArith_2eZnumtheory_2erel__prime___24a2: $i > $i > $o ).

thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proof,type,
    cCoq_2eZArith_2eZpower_2eZdiv__rest__proof: $i ).

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

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

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

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

thf(tp_cCoq_2eZArith_2eZpower_2eshift__nat,type,
    cCoq_2eZArith_2eZpower_2eshift__nat: $i ).

thf(tp_cCoq_2eZArith_2eZpower_2eshift__nat___24a2,type,
    cCoq_2eZArith_2eZpower_2eshift__nat___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZpower_2eshift__pos,type,
    cCoq_2eZArith_2eZpower_2eshift__pos: $i ).

thf(tp_cCoq_2eZArith_2eZpower_2eshift__pos___24a2,type,
    cCoq_2eZArith_2eZpower_2eshift__pos___24a2: $i > $i > $i ).

thf(tp_cCoq_2eZArith_2eZpower_2etwo__power__nat,type,
    cCoq_2eZArith_2eZpower_2etwo__power__nat: $i ).

thf(tp_cCoq_2eZArith_2eZpower_2etwo__power__nat___24a1,type,
    cCoq_2eZArith_2eZpower_2etwo__power__nat___24a1: $i > $i ).

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

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

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

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

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

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

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

thf(tp_cCoq_2emicromega_2eEnvRing_2eMon___24t,type,
    cCoq_2emicromega_2eEnvRing_2eMon___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEX,type,
    cCoq_2emicromega_2eEnvRing_2ePEX: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEX___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePEX___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEadd,type,
    cCoq_2emicromega_2eEnvRing_2ePEadd: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEadd___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEadd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEc,type,
    cCoq_2emicromega_2eEnvRing_2ePEc: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEc___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePEc___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEmul,type,
    cCoq_2emicromega_2eEnvRing_2ePEmul: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEmul___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEmul___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEopp,type,
    cCoq_2emicromega_2eEnvRing_2ePEopp: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEopp___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePEopp___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEpow,type,
    cCoq_2emicromega_2eEnvRing_2ePEpow: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEpow___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEpow___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEsub,type,
    cCoq_2emicromega_2eEnvRing_2ePEsub: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePEsub___24a3,type,
    cCoq_2emicromega_2eEnvRing_2ePEsub___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePExpr,type,
    cCoq_2emicromega_2eEnvRing_2ePExpr: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePExpr___24a1,type,
    cCoq_2emicromega_2eEnvRing_2ePExpr___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePExpr___24t,type,
    cCoq_2emicromega_2eEnvRing_2ePExpr___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePX,type,
    cCoq_2emicromega_2eEnvRing_2ePX: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePX___24a4,type,
    cCoq_2emicromega_2eEnvRing_2ePX___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePadd,type,
    cCoq_2emicromega_2eEnvRing_2ePadd: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePadd___24a4,type,
    cCoq_2emicromega_2eEnvRing_2ePadd___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___24a5,type,
    cCoq_2emicromega_2eEnvRing_2ePphi___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePsub,type,
    cCoq_2emicromega_2eEnvRing_2ePsub: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePsubC,type,
    cCoq_2emicromega_2eEnvRing_2ePsubC: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePsubC___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ePsubC___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePsubC___24a4,type,
    cCoq_2emicromega_2eEnvRing_2ePsubC___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ePsub___24a6,type,
    cCoq_2emicromega_2eEnvRing_2ePsub___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2emkPinj,type,
    cCoq_2emicromega_2eEnvRing_2emkPinj: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2emkPinj___24a3,type,
    cCoq_2emicromega_2eEnvRing_2emkPinj___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2emkZmon,type,
    cCoq_2emicromega_2eEnvRing_2emkZmon: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2emkZmon___24a2,type,
    cCoq_2emicromega_2eEnvRing_2emkZmon___24a2: $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_2eEnvRing_2ezmon__pred,type,
    cCoq_2emicromega_2eEnvRing_2ezmon__pred: $i ).

thf(tp_cCoq_2emicromega_2eEnvRing_2ezmon__pred___24a2,type,
    cCoq_2emicromega_2eEnvRing_2ezmon__pred___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_2ehd,type,
    cCoq_2emicromega_2eEnv_2ehd: $i ).

thf(tp_cCoq_2emicromega_2eEnv_2ehd___24a2,type,
    cCoq_2emicromega_2eEnv_2ehd___24a2: $i > $i > $i ).

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

thf(tp_cCoq_2emicromega_2eEnv_2ejump___24a3,type,
    cCoq_2emicromega_2eEnv_2ejump___24a3: $i > $i > $i > $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_2eEnv_2etail,type,
    cCoq_2emicromega_2eEnv_2etail: $i ).

thf(tp_cCoq_2emicromega_2eEnv_2etail___24a2,type,
    cCoq_2emicromega_2eEnv_2etail___24a2: $i > $i > $i ).

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

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

thf(tp_cCoq_2emicromega_2eRMicromega_2eC0,type,
    cCoq_2emicromega_2eRMicromega_2eC0: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2emicromega_2eRingMicromega_2eBuild__Formula,type,
    cCoq_2emicromega_2eRingMicromega_2eBuild__Formula: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eBuild__Formula___24a4,type,
    cCoq_2emicromega_2eRingMicromega_2eBuild__Formula___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eEqual,type,
    cCoq_2emicromega_2eRingMicromega_2eEqual: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eFormula,type,
    cCoq_2emicromega_2eRingMicromega_2eFormula: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eFormula___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2eFormula___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eFormula___24t,type,
    cCoq_2emicromega_2eRingMicromega_2eFormula___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNFormula,type,
    cCoq_2emicromega_2eRingMicromega_2eNFormula: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNFormula___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2eNFormula___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNFormula___24t,type,
    cCoq_2emicromega_2eRingMicromega_2eNFormula___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNonEqual,type,
    cCoq_2emicromega_2eRingMicromega_2eNonEqual: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eNonStrict,type,
    cCoq_2emicromega_2eRingMicromega_2eNonStrict: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp1,type,
    cCoq_2emicromega_2eRingMicromega_2eOp1: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp1___24t,type,
    cCoq_2emicromega_2eRingMicromega_2eOp1___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp2,type,
    cCoq_2emicromega_2eRingMicromega_2eOp2: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOp2___24t,type,
    cCoq_2emicromega_2eRingMicromega_2eOp2___24t: $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpEq,type,
    cCoq_2emicromega_2eRingMicromega_2eOpEq: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpGe,type,
    cCoq_2emicromega_2eRingMicromega_2eOpGe: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpGt,type,
    cCoq_2emicromega_2eRingMicromega_2eOpGt: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpLe,type,
    cCoq_2emicromega_2eRingMicromega_2eOpLe: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpLt,type,
    cCoq_2emicromega_2eRingMicromega_2eOpLt: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eOpNEq,type,
    cCoq_2emicromega_2eRingMicromega_2eOpNEq: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolC,type,
    cCoq_2emicromega_2eRingMicromega_2ePolC: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolC___24a1,type,
    cCoq_2emicromega_2eRingMicromega_2ePolC___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolC___24t,type,
    cCoq_2emicromega_2eRingMicromega_2ePolC___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolEnv,type,
    cCoq_2emicromega_2eRingMicromega_2ePolEnv: $i ).

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

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePolEnv___24t,type,
    cCoq_2emicromega_2eRingMicromega_2ePolEnv___24t: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ePsatz,type,
    cCoq_2emicromega_2eRingMicromega_2ePsatz: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2emicromega_2eRingMicromega_2echeck__inconsistent,type,
    cCoq_2emicromega_2eRingMicromega_2echeck__inconsistent: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2echeck__inconsistent___24a5,type,
    cCoq_2emicromega_2eRingMicromega_2echeck__inconsistent___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ecltb,type,
    cCoq_2emicromega_2eRingMicromega_2ecltb: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ecltb___24a5,type,
    cCoq_2emicromega_2eRingMicromega_2ecltb___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ecneqb,type,
    cCoq_2emicromega_2eRingMicromega_2ecneqb: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2ecneqb___24a4,type,
    cCoq_2emicromega_2eRingMicromega_2ecneqb___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__nformula,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__nformula: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__nformula___24a11,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__nformula___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__nformula___24a9,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__nformula___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op1,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op1: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op1___24a6,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op1___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__op1___24a7,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__op1___24a7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__pol,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__pol: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__pol___24a5,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__pol___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2eeval__pol___24a7,type,
    cCoq_2emicromega_2eRingMicromega_2eeval__pol___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2emap__option,type,
    cCoq_2emicromega_2eRingMicromega_2emap__option: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2emap__option2,type,
    cCoq_2emicromega_2eRingMicromega_2emap__option2: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2emap__option2___24a6,type,
    cCoq_2emicromega_2eRingMicromega_2emap__option2___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2emap__option___24a4,type,
    cCoq_2emicromega_2eRingMicromega_2emap__option___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2epadd,type,
    cCoq_2emicromega_2eRingMicromega_2epadd: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2epadd___24a4,type,
    cCoq_2emicromega_2eRingMicromega_2epadd___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2epadd___24a6,type,
    cCoq_2emicromega_2eRingMicromega_2epadd___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2epsub,type,
    cCoq_2emicromega_2eRingMicromega_2epsub: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2epsubC,type,
    cCoq_2emicromega_2eRingMicromega_2epsubC: $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2epsubC___24a2,type,
    cCoq_2emicromega_2eRingMicromega_2epsubC___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eRingMicromega_2epsub___24a6,type,
    cCoq_2emicromega_2eRingMicromega_2epsub___24a6: $i > $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_2eTFormula,type,
    cCoq_2emicromega_2eTauto_2eTFormula: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eTFormula___24a4,type,
    cCoq_2emicromega_2eTauto_2eTFormula___24a4: $i > $i > $i > $i > $i ).

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

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

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

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

thf(tp_cCoq_2emicromega_2eTauto_2eand__cnf,type,
    cCoq_2emicromega_2eTauto_2eand__cnf: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eand__cnf___24a4,type,
    cCoq_2emicromega_2eTauto_2eand__cnf___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eclause,type,
    cCoq_2emicromega_2eTauto_2eclause: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2eclause___24a2,type,
    cCoq_2emicromega_2eTauto_2eclause___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2ecnf,type,
    cCoq_2emicromega_2eTauto_2ecnf: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2ecnf___24a2,type,
    cCoq_2emicromega_2eTauto_2ecnf___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eTauto_2ecnf___24t,type,
    cCoq_2emicromega_2eTauto_2ecnf___24t: $i > $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eTauto_2ecnf__tt,type,
    cCoq_2emicromega_2eTauto_2ecnf__tt: $i ).

thf(tp_cCoq_2emicromega_2eTauto_2ecnf__tt___24a2,type,
    cCoq_2emicromega_2eTauto_2ecnf__tt___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eVarMap_2eBranch,type,
    cCoq_2emicromega_2eVarMap_2eBranch: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2emicromega_2eZMicromega_2eVars_2eLeaf,type,
    cCoq_2emicromega_2eZMicromega_2eVars_2eLeaf: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2emicromega_2eZMicromega_2eZdiv__pol,type,
    cCoq_2emicromega_2eZMicromega_2eZdiv__pol: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZdiv__pol___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eZdiv__pol___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZdivide__pol,type,
    cCoq_2emicromega_2eZMicromega_2eZdivide__pol: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZdivide__pol___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eZdivide__pol___24a2: $i > $i > $o ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZgcdM,type,
    cCoq_2emicromega_2eZMicromega_2eZgcdM: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZgcdM___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eZgcdM___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZgcd__pol,type,
    cCoq_2emicromega_2eZMicromega_2eZgcd__pol: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eZgcd__pol___24a1,type,
    cCoq_2emicromega_2eZMicromega_2eZgcd__pol___24a1: $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eceiling,type,
    cCoq_2emicromega_2eZMicromega_2eceiling: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eceiling___24a2,type,
    cCoq_2emicromega_2eZMicromega_2eceiling___24a2: $i > $i > $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eeval__nformula,type,
    cCoq_2emicromega_2eZMicromega_2eeval__nformula: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2eeval__pol,type,
    cCoq_2emicromega_2eZMicromega_2eeval__pol: $i ).

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_2emicromega_2eZMicromega_2epadd,type,
    cCoq_2emicromega_2eZMicromega_2epadd: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2evalid__cut__sign,type,
    cCoq_2emicromega_2eZMicromega_2evalid__cut__sign: $i ).

thf(tp_cCoq_2emicromega_2eZMicromega_2evalid__cut__sign___24a1,type,
    cCoq_2emicromega_2eZMicromega_2evalid__cut__sign___24a1: $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_2ealmost__field__theory,type,
    cCoq_2esetoid__ring_2eField__theory_2ealmost__field__theory: $i ).

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

thf(tp_cCoq_2esetoid__ring_2eField__theory_2efield__theory,type,
    cCoq_2esetoid__ring_2eField__theory_2efield__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2efield__theory___24a10,type,
    cCoq_2esetoid__ring_2eField__theory_2efield__theory___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2elinear,type,
    cCoq_2esetoid__ring_2eField__theory_2elinear: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2elinear___24a1,type,
    cCoq_2esetoid__ring_2eField__theory_2elinear___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2elinear___24t,type,
    cCoq_2esetoid__ring_2eField__theory_2elinear___24t: $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2emk__linear,type,
    cCoq_2esetoid__ring_2eField__theory_2emk__linear: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2emk__linear___24a4,type,
    cCoq_2esetoid__ring_2eField__theory_2emk__linear___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2emk__rsplit,type,
    cCoq_2esetoid__ring_2eField__theory_2emk__rsplit: $i ).

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

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

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

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

thf(tp_cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory,type,
    cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory___24a8,type,
    cCoq_2esetoid__ring_2eField__theory_2esemi__field__theory___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

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

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1: $i ).

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1___24a5,type,
    cCoq_2esetoid__ring_2eInitialRing_2egen__phiPOS1___24a5: $i > $i > $i > $i > $i > $i ).

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

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2ehypo,type,
    cCoq_2esetoid__ring_2eInitialRing_2ehypo: $i ).

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

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

thf(tp_cCoq_2esetoid__ring_2eInitialRing_2emkhypo___24a2,type,
    cCoq_2esetoid__ring_2eInitialRing_2emkhypo___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_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__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_2eP0,type,
    cCoq_2esetoid__ring_2eRing__polynom_2eP0: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2eP0___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2eP0___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEI,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEI: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEI___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEI___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEO,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEO: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEO___24a1,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEO___24a1: $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEX,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEX: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEX___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEX___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEadd,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEadd: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEadd___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEadd___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEc,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEc: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEc___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePEc___24a2: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL___24a11,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2eadd__pow__list,type,
    cCoq_2esetoid__ring_2eRing__polynom_2eadd__pow__list: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2eadd__pow__list___24a4,type,
    cCoq_2esetoid__ring_2eRing__polynom_2eadd__pow__list___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emkPinj,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emkPinj: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emkPinj___24a3,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emkPinj___24a3: $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emkZmon,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emkZmon: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emkZmon___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emkZmon___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emk__monpol__list,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emk__monpol__list: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emk__monpol__list___24a10,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emk__monpol__list___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emkmult__pow,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emkmult__pow: $i ).

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

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

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emon__of__pol,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emon__of__pol: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emon__of__pol___24a4,type,
    cCoq_2esetoid__ring_2eRing__polynom_2emon__of__pol___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux___24a9,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst___24a11,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst___24a12,type,
    cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst___24a12: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2evmon,type,
    cCoq_2esetoid__ring_2eRing__polynom_2evmon: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2evmon___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2evmon___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ezmon: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ezmon___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon__pred,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ezmon__pred: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon__pred___24a2,type,
    cCoq_2esetoid__ring_2eRing__polynom_2ezmon__pred___24a2: $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__tac_2ering__subst__niter,type,
    cCoq_2esetoid__ring_2eRing__tac_2ering__subst__niter: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2eAbstract,type,
    cCoq_2esetoid__ring_2eRing__theory_2eAbstract: $i ).

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

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

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

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

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

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

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

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

thf(tp_cCoq_2esetoid__ring_2eRing__theory_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_2eid__phi__N,type,
    cCoq_2esetoid__ring_2eRing__theory_2eid__phi__N: $i ).

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

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__N,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__N: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__N___24a5,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__N___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__pos,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__pos: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epow__pos___24a4,type,
    cCoq_2esetoid__ring_2eRing__theory_2epow__pos___24a4: $i > $i > $i > $i > $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epower__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2epower__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2epower__theory___24a7,type,
    cCoq_2esetoid__ring_2eRing__theory_2epower__theory___24a7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext___24a5,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__eq__ext___24a5: $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__kind,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__kind: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__kind___24t,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__kind___24t: $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__morph,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__morph: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__morph___24a17,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__morph___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2ering__theory___24a8,type,
    cCoq_2esetoid__ring_2eRing__theory_2ering__theory___24a8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esemi__morph,type,
    cCoq_2esetoid__ring_2eRing__theory_2esemi__morph: $i ).

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

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory,type,
    cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory: $i ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory___24a6,type,
    cCoq_2esetoid__ring_2eRing__theory_2esemi__ring__theory___24a6: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cCoq_2esetoid__ring_2eRing__theory_2esring__eq__ext,type,
    cCoq_2esetoid__ring_2eRing__theory_2esring__eq__ext: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_cPLF_2eImp_2eAId___24a1,type,
    cPLF_2eImp_2eAId___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eAMinus,type,
    cPLF_2eImp_2eAMinus: $i ).

thf(tp_cPLF_2eImp_2eAMinus___24a2,type,
    cPLF_2eImp_2eAMinus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eAMult,type,
    cPLF_2eImp_2eAMult: $i ).

thf(tp_cPLF_2eImp_2eAMult___24a2,type,
    cPLF_2eImp_2eAMult___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eANum,type,
    cPLF_2eImp_2eANum: $i ).

thf(tp_cPLF_2eImp_2eANum___24a1,type,
    cPLF_2eImp_2eANum___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eAPlus,type,
    cPLF_2eImp_2eAPlus: $i ).

thf(tp_cPLF_2eImp_2eAPlus___24a2,type,
    cPLF_2eImp_2eAPlus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBAnd,type,
    cPLF_2eImp_2eBAnd: $i ).

thf(tp_cPLF_2eImp_2eBAnd___24a2,type,
    cPLF_2eImp_2eBAnd___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBEq,type,
    cPLF_2eImp_2eBEq: $i ).

thf(tp_cPLF_2eImp_2eBEq___24a2,type,
    cPLF_2eImp_2eBEq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBFalse,type,
    cPLF_2eImp_2eBFalse: $i ).

thf(tp_cPLF_2eImp_2eBLe,type,
    cPLF_2eImp_2eBLe: $i ).

thf(tp_cPLF_2eImp_2eBLe___24a2,type,
    cPLF_2eImp_2eBLe___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBNot,type,
    cPLF_2eImp_2eBNot: $i ).

thf(tp_cPLF_2eImp_2eBNot___24a1,type,
    cPLF_2eImp_2eBNot___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eBTrue,type,
    cPLF_2eImp_2eBTrue: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCAss,type,
    cPLF_2eImp_2eBreakImp_2eCAss: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCAss___24a2,type,
    cPLF_2eImp_2eBreakImp_2eCAss___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCBreak,type,
    cPLF_2eImp_2eBreakImp_2eCBreak: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCIf,type,
    cPLF_2eImp_2eBreakImp_2eCIf: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCIf___24a3,type,
    cPLF_2eImp_2eBreakImp_2eCIf___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCSeq,type,
    cPLF_2eImp_2eBreakImp_2eCSeq: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCSeq___24a2,type,
    cPLF_2eImp_2eBreakImp_2eCSeq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCSkip,type,
    cPLF_2eImp_2eBreakImp_2eCSkip: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCWhile,type,
    cPLF_2eImp_2eBreakImp_2eCWhile: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eCWhile___24a2,type,
    cPLF_2eImp_2eBreakImp_2eCWhile___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eSBreak,type,
    cPLF_2eImp_2eBreakImp_2eSBreak: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eSContinue,type,
    cPLF_2eImp_2eBreakImp_2eSContinue: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2ecom,type,
    cPLF_2eImp_2eBreakImp_2ecom: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2ecom___24t,type,
    cPLF_2eImp_2eBreakImp_2ecom___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eBreakImp_2eresult,type,
    cPLF_2eImp_2eBreakImp_2eresult: $i ).

thf(tp_cPLF_2eImp_2eBreakImp_2eresult___24t,type,
    cPLF_2eImp_2eBreakImp_2eresult___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eCAss,type,
    cPLF_2eImp_2eCAss: $i ).

thf(tp_cPLF_2eImp_2eCAss___24a2,type,
    cPLF_2eImp_2eCAss___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eCIf,type,
    cPLF_2eImp_2eCIf: $i ).

thf(tp_cPLF_2eImp_2eCIf___24a3,type,
    cPLF_2eImp_2eCIf___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eImp_2eCSeq,type,
    cPLF_2eImp_2eCSeq: $i ).

thf(tp_cPLF_2eImp_2eCSeq___24a2,type,
    cPLF_2eImp_2eCSeq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eCSkip,type,
    cPLF_2eImp_2eCSkip: $i ).

thf(tp_cPLF_2eImp_2eCWhile,type,
    cPLF_2eImp_2eCWhile: $i ).

thf(tp_cPLF_2eImp_2eCWhile___24a2,type,
    cPLF_2eImp_2eCWhile___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eSLoad,type,
    cPLF_2eImp_2eSLoad: $i ).

thf(tp_cPLF_2eImp_2eSLoad___24a1,type,
    cPLF_2eImp_2eSLoad___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eSMinus,type,
    cPLF_2eImp_2eSMinus: $i ).

thf(tp_cPLF_2eImp_2eSMult,type,
    cPLF_2eImp_2eSMult: $i ).

thf(tp_cPLF_2eImp_2eSPlus,type,
    cPLF_2eImp_2eSPlus: $i ).

thf(tp_cPLF_2eImp_2eSPush,type,
    cPLF_2eImp_2eSPush: $i ).

thf(tp_cPLF_2eImp_2eSPush___24a1,type,
    cPLF_2eImp_2eSPush___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eX,type,
    cPLF_2eImp_2eX: $i ).

thf(tp_cPLF_2eImp_2eY,type,
    cPLF_2eImp_2eY: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eADiv,type,
    cPLF_2eImp_2eaevalR__division_2eADiv: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eADiv___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eADiv___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMinus,type,
    cPLF_2eImp_2eaevalR__division_2eAMinus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMinus___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eAMinus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMult,type,
    cPLF_2eImp_2eaevalR__division_2eAMult: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAMult___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eAMult___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eANum,type,
    cPLF_2eImp_2eaevalR__division_2eANum: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eANum___24a1,type,
    cPLF_2eImp_2eaevalR__division_2eANum___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAPlus,type,
    cPLF_2eImp_2eaevalR__division_2eAPlus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eAPlus___24a2,type,
    cPLF_2eImp_2eaevalR__division_2eAPlus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eaexp,type,
    cPLF_2eImp_2eaevalR__division_2eaexp: $i ).

thf(tp_cPLF_2eImp_2eaevalR__division_2eaexp___24t,type,
    cPLF_2eImp_2eaevalR__division_2eaexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAAny,type,
    cPLF_2eImp_2eaevalR__extended_2eAAny: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMinus,type,
    cPLF_2eImp_2eaevalR__extended_2eAMinus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMinus___24a2,type,
    cPLF_2eImp_2eaevalR__extended_2eAMinus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMult,type,
    cPLF_2eImp_2eaevalR__extended_2eAMult: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAMult___24a2,type,
    cPLF_2eImp_2eaevalR__extended_2eAMult___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eANum,type,
    cPLF_2eImp_2eaevalR__extended_2eANum: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eANum___24a1,type,
    cPLF_2eImp_2eaevalR__extended_2eANum___24a1: $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAPlus,type,
    cPLF_2eImp_2eaevalR__extended_2eAPlus: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eAPlus___24a2,type,
    cPLF_2eImp_2eaevalR__extended_2eAPlus___24a2: $i > $i > $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eaexp,type,
    cPLF_2eImp_2eaevalR__extended_2eaexp: $i ).

thf(tp_cPLF_2eImp_2eaevalR__extended_2eaexp___24t,type,
    cPLF_2eImp_2eaevalR__extended_2eaexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eaexp,type,
    cPLF_2eImp_2eaexp: $i ).

thf(tp_cPLF_2eImp_2eaexp___24t,type,
    cPLF_2eImp_2eaexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2ebexp,type,
    cPLF_2eImp_2ebexp: $i ).

thf(tp_cPLF_2eImp_2ebexp___24t,type,
    cPLF_2eImp_2ebexp___24t: $i > $o ).

thf(tp_cPLF_2eImp_2ecom,type,
    cPLF_2eImp_2ecom: $i ).

thf(tp_cPLF_2eImp_2ecom___24t,type,
    cPLF_2eImp_2ecom___24t: $i > $o ).

thf(tp_cPLF_2eImp_2eempty__st,type,
    cPLF_2eImp_2eempty__st: $i ).

thf(tp_cPLF_2eImp_2epup__to__n,type,
    cPLF_2eImp_2epup__to__n: $i ).

thf(tp_cPLF_2eImp_2esinstr,type,
    cPLF_2eImp_2esinstr: $i ).

thf(tp_cPLF_2eImp_2esinstr___24t,type,
    cPLF_2eImp_2esinstr___24t: $i > $o ).

thf(tp_cPLF_2eImp_2estate,type,
    cPLF_2eImp_2estate: $i ).

thf(tp_cPLF_2eImp_2estate___24t,type,
    cPLF_2eImp_2estate___24t: $i > $o ).

thf(tp_cPLF_2eLibTactics_2eBoxer,type,
    cPLF_2eLibTactics_2eBoxer: $i ).

thf(tp_cPLF_2eLibTactics_2eBoxer___24t,type,
    cPLF_2eLibTactics_2eBoxer___24t: $i > $o ).

thf(tp_cPLF_2eLibTactics_2eCOIND,type,
    cPLF_2eLibTactics_2eCOIND: $i ).

thf(tp_cPLF_2eLibTactics_2eCOIND___24a1,type,
    cPLF_2eLibTactics_2eCOIND___24a1: $i > $o ).

thf(tp_cPLF_2eLibTactics_2eLtac__database__token,type,
    cPLF_2eLibTactics_2eLtac__database__token: $i ).

thf(tp_cPLF_2eLibTactics_2eboxer,type,
    cPLF_2eLibTactics_2eboxer: $i ).

thf(tp_cPLF_2eLibTactics_2eboxer___24a2,type,
    cPLF_2eLibTactics_2eboxer___24a2: $i > $i > $i ).

thf(tp_cPLF_2eLibTactics_2edup__lemma,type,
    cPLF_2eLibTactics_2edup__lemma: $i ).

thf(tp_cPLF_2eLibTactics_2eeq_27,type,
    cPLF_2eLibTactics_2eeq_27: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__Mark,type,
    cPLF_2eLibTactics_2eltac__Mark: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__No__arg,type,
    cPLF_2eLibTactics_2eltac__No__arg: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__No__arg___24t,type,
    cPLF_2eLibTactics_2eltac__No__arg___24t: $i > $o ).

thf(tp_cPLF_2eLibTactics_2eltac__Wild,type,
    cPLF_2eLibTactics_2eltac__Wild: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__Wild___24t,type,
    cPLF_2eLibTactics_2eltac__Wild___24t: $i > $o ).

thf(tp_cPLF_2eLibTactics_2eltac__Wilds,type,
    cPLF_2eLibTactics_2eltac__Wilds: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__Wilds___24t,type,
    cPLF_2eLibTactics_2eltac__Wilds___24t: $i > $o ).

thf(tp_cPLF_2eLibTactics_2eltac__goal__to__discard,type,
    cPLF_2eLibTactics_2eltac__goal__to__discard: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__no__arg,type,
    cPLF_2eLibTactics_2eltac__no__arg: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__something,type,
    cPLF_2eLibTactics_2eltac__something: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__something___24a2,type,
    cPLF_2eLibTactics_2eltac__something___24a2: $i > $i > $i ).

thf(tp_cPLF_2eLibTactics_2eltac__tag__subst,type,
    cPLF_2eLibTactics_2eltac__tag__subst: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__tag__subst___24a2,type,
    cPLF_2eLibTactics_2eltac__tag__subst___24a2: $i > $i > $i ).

thf(tp_cPLF_2eLibTactics_2eltac__to__generalize,type,
    cPLF_2eLibTactics_2eltac__to__generalize: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__to__generalize___24a2,type,
    cPLF_2eLibTactics_2eltac__to__generalize___24a2: $i > $i > $i ).

thf(tp_cPLF_2eLibTactics_2eltac__wild,type,
    cPLF_2eLibTactics_2eltac__wild: $i ).

thf(tp_cPLF_2eLibTactics_2eltac__wilds,type,
    cPLF_2eLibTactics_2eltac__wilds: $i ).

thf(tp_cPLF_2eLibTactics_2erm,type,
    cPLF_2eLibTactics_2erm: $i ).

thf(tp_cPLF_2eLibTactics_2erm___24a2,type,
    cPLF_2eLibTactics_2erm___24a2: $i > $i > $i ).

thf(tp_cPLF_2eMaps_2eempty,type,
    cPLF_2eMaps_2eempty: $i ).

thf(tp_cPLF_2eMaps_2eempty___24a1,type,
    cPLF_2eMaps_2eempty___24a1: $i > $i ).

thf(tp_cPLF_2eMaps_2eempty___24a2,type,
    cPLF_2eMaps_2eempty___24a2: $i > $i > $i ).

thf(tp_cPLF_2eMaps_2eeqb__string,type,
    cPLF_2eMaps_2eeqb__string: $i ).

thf(tp_cPLF_2eMaps_2eeqb__stringP,type,
    cPLF_2eMaps_2eeqb__stringP: $i ).

thf(tp_cPLF_2eMaps_2eeqb__string___24a2,type,
    cPLF_2eMaps_2eeqb__string___24a2: $i > $i > $i ).

thf(tp_cPLF_2eMaps_2epartial__map,type,
    cPLF_2eMaps_2epartial__map: $i ).

thf(tp_cPLF_2eMaps_2epartial__map___24a1,type,
    cPLF_2eMaps_2epartial__map___24a1: $i > $i ).

thf(tp_cPLF_2eMaps_2epartial__map___24t,type,
    cPLF_2eMaps_2epartial__map___24t: $i > $i > $o ).

thf(tp_cPLF_2eMaps_2et__empty,type,
    cPLF_2eMaps_2et__empty: $i ).

thf(tp_cPLF_2eMaps_2et__empty___24a2,type,
    cPLF_2eMaps_2et__empty___24a2: $i > $i > $i ).

thf(tp_cPLF_2eMaps_2et__empty___24a3,type,
    cPLF_2eMaps_2et__empty___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eMaps_2et__update,type,
    cPLF_2eMaps_2et__update: $i ).

thf(tp_cPLF_2eMaps_2et__update___24a4,type,
    cPLF_2eMaps_2et__update___24a4: $i > $i > $i > $i > $i ).

thf(tp_cPLF_2eMaps_2et__update___24a5,type,
    cPLF_2eMaps_2et__update___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cPLF_2eMaps_2etotal__map,type,
    cPLF_2eMaps_2etotal__map: $i ).

thf(tp_cPLF_2eMaps_2etotal__map___24a1,type,
    cPLF_2eMaps_2etotal__map___24a1: $i > $i ).

thf(tp_cPLF_2eMaps_2etotal__map___24t,type,
    cPLF_2eMaps_2etotal__map___24t: $i > $i > $o ).

thf(tp_cPLF_2eMaps_2eupdate,type,
    cPLF_2eMaps_2eupdate: $i ).

thf(tp_cPLF_2eMaps_2eupdate___24a4,type,
    cPLF_2eMaps_2eupdate___24a4: $i > $i > $i > $i > $i ).

thf(tp_cPLF_2eMaps_2eupdate___24a5,type,
    cPLF_2eMaps_2eupdate___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eArrow,type,
    cPLF_2eReferences_2eSTLCRef_2eArrow: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eArrow___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2eArrow___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eExampleVariables_2er,type,
    cPLF_2eReferences_2eSTLCRef_2eExampleVariables_2er: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eExampleVariables_2ex,type,
    cPLF_2eReferences_2eSTLCRef_2eExampleVariables_2ex: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eNat,type,
    cPLF_2eReferences_2eSTLCRef_2eNat: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRef,type,
    cPLF_2eReferences_2eSTLCRef_2eRef: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRef___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2eRef___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2efactorial,type,
    cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2efactorial: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop,type,
    cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop__fun,type,
    cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop__fun: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2emultistep1,type,
    cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2emultistep1: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2estep__closure,type,
    cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2estep__closure: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2estep__closure___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2estep__closure___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2estep__closure___24a4,type,
    cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2estep__closure___24a4: $i > $i > $i > $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eUnit,type,
    cPLF_2eReferences_2eSTLCRef_2eUnit: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eabs,type,
    cPLF_2eReferences_2eSTLCRef_2eabs: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eabs___24a3,type,
    cPLF_2eReferences_2eSTLCRef_2eabs___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eapp,type,
    cPLF_2eReferences_2eSTLCRef_2eapp: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eapp___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2eapp___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eappears__free__in,type,
    cPLF_2eReferences_2eSTLCRef_2eappears__free__in: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eappears__free__in___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2eappears__free__in___24a2: $i > $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eassign,type,
    cPLF_2eReferences_2eSTLCRef_2eassign: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eassign___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2eassign___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2econst,type,
    cPLF_2eReferences_2eSTLCRef_2econst: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2econst___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2econst___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2econtext,type,
    cPLF_2eReferences_2eSTLCRef_2econtext: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2econtext___24t,type,
    cPLF_2eReferences_2eSTLCRef_2econtext___24t: $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ederef,type,
    cPLF_2eReferences_2eSTLCRef_2ederef: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ederef___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2ederef___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eextends,type,
    cPLF_2eReferences_2eSTLCRef_2eextends: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eextends___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2eextends___24a2: $i > $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ehas__type,type,
    cPLF_2eReferences_2eSTLCRef_2ehas__type: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4,type,
    cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4: $i > $i > $i > $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eloc,type,
    cPLF_2eReferences_2eSTLCRef_2eloc: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eloc___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2eloc___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2emlt,type,
    cPLF_2eReferences_2eSTLCRef_2emlt: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2emlt___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2emlt___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2emultistep,type,
    cPLF_2eReferences_2eSTLCRef_2emultistep: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eprd,type,
    cPLF_2eReferences_2eSTLCRef_2eprd: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eprd___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2eprd___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2epreservation__theorem,type,
    cPLF_2eReferences_2eSTLCRef_2epreservation__theorem: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eref,type,
    cPLF_2eReferences_2eSTLCRef_2eref: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eref___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2eref___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ereplace,type,
    cPLF_2eReferences_2eSTLCRef_2ereplace: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ereplace___24a4,type,
    cPLF_2eReferences_2eSTLCRef_2ereplace___24a4: $i > $i > $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2escc,type,
    cPLF_2eReferences_2eSTLCRef_2escc: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2escc___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2escc___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estep,type,
    cPLF_2eReferences_2eSTLCRef_2estep: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estep___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore,type,
    cPLF_2eReferences_2eSTLCRef_2estore: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__Tlookup,type,
    cPLF_2eReferences_2eSTLCRef_2estore__Tlookup: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__Tlookup___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2estore__Tlookup___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore___24t,type,
    cPLF_2eReferences_2eSTLCRef_2estore___24t: $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__lookup,type,
    cPLF_2eReferences_2eSTLCRef_2estore__lookup: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__lookup___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2estore__lookup___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__ty,type,
    cPLF_2eReferences_2eSTLCRef_2estore__ty: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__ty___24t,type,
    cPLF_2eReferences_2eSTLCRef_2estore__ty___24t: $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__well__typed,type,
    cPLF_2eReferences_2eSTLCRef_2estore__well__typed: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2: $i > $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2esubst,type,
    cPLF_2eReferences_2eSTLCRef_2esubst: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2esubst___24a3,type,
    cPLF_2eReferences_2eSTLCRef_2esubst___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2etest0,type,
    cPLF_2eReferences_2eSTLCRef_2etest0: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2etest0___24a3,type,
    cPLF_2eReferences_2eSTLCRef_2etest0___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2etm,type,
    cPLF_2eReferences_2eSTLCRef_2etm: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2etm___24t,type,
    cPLF_2eReferences_2eSTLCRef_2etm___24t: $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2etseq,type,
    cPLF_2eReferences_2eSTLCRef_2etseq: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2etseq___24a2,type,
    cPLF_2eReferences_2eSTLCRef_2etseq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ety,type,
    cPLF_2eReferences_2eSTLCRef_2ety: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ety___24t,type,
    cPLF_2eReferences_2eSTLCRef_2ety___24t: $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ety__rec,type,
    cPLF_2eReferences_2eSTLCRef_2ety__rec: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ety__rec___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2ety__rec___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ety__rect,type,
    cPLF_2eReferences_2eSTLCRef_2ety__rect: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ety__rect___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2ety__rect___24a1: $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2ety__rect___24a6,type,
    cPLF_2eReferences_2eSTLCRef_2ety__rect___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2eunit,type,
    cPLF_2eReferences_2eSTLCRef_2eunit: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2evalue,type,
    cPLF_2eReferences_2eSTLCRef_2evalue: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2evalue___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2evar,type,
    cPLF_2eReferences_2eSTLCRef_2evar: $i ).

thf(tp_cPLF_2eReferences_2eSTLCRef_2evar___24a1,type,
    cPLF_2eReferences_2eSTLCRef_2evar___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2eC,type,
    cPLF_2eSmallstep_2eC: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCAss,type,
    cPLF_2eSmallstep_2eCImp_2eCAss: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCAss___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCAss___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCIf,type,
    cPLF_2eSmallstep_2eCImp_2eCIf: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCIf___24a3,type,
    cPLF_2eSmallstep_2eCImp_2eCIf___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCPar,type,
    cPLF_2eSmallstep_2eCImp_2eCPar: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCPar___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCPar___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCSeq,type,
    cPLF_2eSmallstep_2eCImp_2eCSeq: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCSeq___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCSeq___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCSkip,type,
    cPLF_2eSmallstep_2eCImp_2eCSkip: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCWhile,type,
    cPLF_2eSmallstep_2eCImp_2eCWhile: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2eCWhile___24a2,type,
    cPLF_2eSmallstep_2eCImp_2eCWhile___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecom,type,
    cPLF_2eSmallstep_2eCImp_2ecom: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecom___24t,type,
    cPLF_2eSmallstep_2eCImp_2ecom___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecstep,type,
    cPLF_2eSmallstep_2eCImp_2ecstep: $i ).

thf(tp_cPLF_2eSmallstep_2eCImp_2ecstep___24a2,type,
    cPLF_2eSmallstep_2eCImp_2ecstep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eC___24a1,type,
    cPLF_2eSmallstep_2eC___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eC,type,
    cPLF_2eSmallstep_2eCombined_2eC: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eC___24a1,type,
    cPLF_2eSmallstep_2eCombined_2eC___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eP,type,
    cPLF_2eSmallstep_2eCombined_2eP: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2eP___24a2,type,
    cPLF_2eSmallstep_2eCombined_2eP___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2efls,type,
    cPLF_2eSmallstep_2eCombined_2efls: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etest,type,
    cPLF_2eSmallstep_2eCombined_2etest: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etest___24a3,type,
    cPLF_2eSmallstep_2eCombined_2etest___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etm,type,
    cPLF_2eSmallstep_2eCombined_2etm: $i ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etm___24t,type,
    cPLF_2eSmallstep_2eCombined_2etm___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eCombined_2etru,type,
    cPLF_2eSmallstep_2eCombined_2etru: $i ).

thf(tp_cPLF_2eSmallstep_2eP,type,
    cPLF_2eSmallstep_2eP: $i ).

thf(tp_cPLF_2eSmallstep_2eP___24a2,type,
    cPLF_2eSmallstep_2eP___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eSimpleArith1_2estep,type,
    cPLF_2eSmallstep_2eSimpleArith1_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eSimpleArith1_2estep___24a2,type,
    cPLF_2eSmallstep_2eSimpleArith1_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2estep,type,
    cPLF_2eSmallstep_2eTemp1_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp1_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2evalue,type,
    cPLF_2eSmallstep_2eTemp1_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp1_2evalue___24a1,type,
    cPLF_2eSmallstep_2eTemp1_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2estep,type,
    cPLF_2eSmallstep_2eTemp2_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp2_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2evalue,type,
    cPLF_2eSmallstep_2eTemp2_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp2_2evalue___24a1,type,
    cPLF_2eSmallstep_2eTemp2_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2estep,type,
    cPLF_2eSmallstep_2eTemp3_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2estep___24a2,type,
    cPLF_2eSmallstep_2eTemp3_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2evalue,type,
    cPLF_2eSmallstep_2eTemp3_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp3_2evalue___24a1,type,
    cPLF_2eSmallstep_2eTemp3_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2efls,type,
    cPLF_2eSmallstep_2eTemp4_2efls: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etest,type,
    cPLF_2eSmallstep_2eTemp4_2etest: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etest___24a3,type,
    cPLF_2eSmallstep_2eTemp4_2etest___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etm,type,
    cPLF_2eSmallstep_2eTemp4_2etm: $i ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etm___24t,type,
    cPLF_2eSmallstep_2eTemp4_2etm___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2eTemp4_2etru,type,
    cPLF_2eSmallstep_2eTemp4_2etru: $i ).

thf(tp_cPLF_2eSmallstep_2eastep,type,
    cPLF_2eSmallstep_2eastep: $i ).

thf(tp_cPLF_2eSmallstep_2eastep___24a3,type,
    cPLF_2eSmallstep_2eastep___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eaval,type,
    cPLF_2eSmallstep_2eaval: $i ).

thf(tp_cPLF_2eSmallstep_2eaval___24a1,type,
    cPLF_2eSmallstep_2eaval___24a1: $i > $o ).

thf(tp_cPLF_2eSmallstep_2ebstep,type,
    cPLF_2eSmallstep_2ebstep: $i ).

thf(tp_cPLF_2eSmallstep_2ebstep___24a3,type,
    cPLF_2eSmallstep_2ebstep___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2ecompiler__is__correct__statement,type,
    cPLF_2eSmallstep_2ecompiler__is__correct__statement: $i ).

thf(tp_cPLF_2eSmallstep_2ecstep,type,
    cPLF_2eSmallstep_2ecstep: $i ).

thf(tp_cPLF_2eSmallstep_2ecstep___24a2,type,
    cPLF_2eSmallstep_2ecstep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2emulti,type,
    cPLF_2eSmallstep_2emulti: $i ).

thf(tp_cPLF_2eSmallstep_2emulti___24a2,type,
    cPLF_2eSmallstep_2emulti___24a2: $i > $i > $i ).

thf(tp_cPLF_2eSmallstep_2emulti___24a4,type,
    cPLF_2eSmallstep_2emulti___24a4: $i > $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2eprog,type,
    cPLF_2eSmallstep_2eprog: $i ).

thf(tp_cPLF_2eSmallstep_2eprog___24t,type,
    cPLF_2eSmallstep_2eprog___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2erelation,type,
    cPLF_2eSmallstep_2erelation: $i ).

thf(tp_cPLF_2eSmallstep_2erelation___24a1,type,
    cPLF_2eSmallstep_2erelation___24a1: $i > $i ).

thf(tp_cPLF_2eSmallstep_2erelation___24t,type,
    cPLF_2eSmallstep_2erelation___24t: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2estack,type,
    cPLF_2eSmallstep_2estack: $i ).

thf(tp_cPLF_2eSmallstep_2estack___24t,type,
    cPLF_2eSmallstep_2estack___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2estack__step,type,
    cPLF_2eSmallstep_2estack__step: $i ).

thf(tp_cPLF_2eSmallstep_2estack__step___24a3,type,
    cPLF_2eSmallstep_2estack__step___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2estep,type,
    cPLF_2eSmallstep_2estep: $i ).

thf(tp_cPLF_2eSmallstep_2estep___24a2,type,
    cPLF_2eSmallstep_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eSmallstep_2etm,type,
    cPLF_2eSmallstep_2etm: $i ).

thf(tp_cPLF_2eSmallstep_2etm___24t,type,
    cPLF_2eSmallstep_2etm___24t: $i > $o ).

thf(tp_cPLF_2eSmallstep_2evalue,type,
    cPLF_2eSmallstep_2evalue: $i ).

thf(tp_cPLF_2eSmallstep_2evalue___24a1,type,
    cPLF_2eSmallstep_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eArrow,type,
    cPLF_2eStlcProp_2eSTLCArith_2eArrow: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eArrow___24a2,type,
    cPLF_2eStlcProp_2eSTLCArith_2eArrow___24a2: $i > $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eNat,type,
    cPLF_2eStlcProp_2eSTLCArith_2eNat: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eabs,type,
    cPLF_2eStlcProp_2eSTLCArith_2eabs: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eabs___24a3,type,
    cPLF_2eStlcProp_2eSTLCArith_2eabs___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eapp,type,
    cPLF_2eStlcProp_2eSTLCArith_2eapp: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eapp___24a2,type,
    cPLF_2eStlcProp_2eSTLCArith_2eapp___24a2: $i > $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2econst,type,
    cPLF_2eStlcProp_2eSTLCArith_2econst: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2econst___24a1,type,
    cPLF_2eStlcProp_2eSTLCArith_2econst___24a1: $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2emlt,type,
    cPLF_2eStlcProp_2eSTLCArith_2emlt: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2emlt___24a2,type,
    cPLF_2eStlcProp_2eSTLCArith_2emlt___24a2: $i > $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eprd,type,
    cPLF_2eStlcProp_2eSTLCArith_2eprd: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2eprd___24a1,type,
    cPLF_2eStlcProp_2eSTLCArith_2eprd___24a1: $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2escc,type,
    cPLF_2eStlcProp_2eSTLCArith_2escc: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2escc___24a1,type,
    cPLF_2eStlcProp_2eSTLCArith_2escc___24a1: $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2etest0,type,
    cPLF_2eStlcProp_2eSTLCArith_2etest0: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2etest0___24a3,type,
    cPLF_2eStlcProp_2eSTLCArith_2etest0___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2etm,type,
    cPLF_2eStlcProp_2eSTLCArith_2etm: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2etm___24t,type,
    cPLF_2eStlcProp_2eSTLCArith_2etm___24t: $i > $o ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2ety,type,
    cPLF_2eStlcProp_2eSTLCArith_2ety: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2ety___24t,type,
    cPLF_2eStlcProp_2eSTLCArith_2ety___24t: $i > $o ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2evar,type,
    cPLF_2eStlcProp_2eSTLCArith_2evar: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCArith_2evar___24a1,type,
    cPLF_2eStlcProp_2eSTLCArith_2evar___24a1: $i > $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCProp_2eappears__free__in,type,
    cPLF_2eStlcProp_2eSTLCProp_2eappears__free__in: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCProp_2eappears__free__in___24a2,type,
    cPLF_2eStlcProp_2eSTLCProp_2eappears__free__in___24a2: $i > $i > $o ).

thf(tp_cPLF_2eStlcProp_2eSTLCProp_2eclosed,type,
    cPLF_2eStlcProp_2eSTLCProp_2eclosed: $i ).

thf(tp_cPLF_2eStlcProp_2eSTLCProp_2eclosed___24a1,type,
    cPLF_2eStlcProp_2eSTLCProp_2eclosed___24a1: $i > $o ).

thf(tp_cPLF_2eStlc_2eSTLC_2eArrow,type,
    cPLF_2eStlc_2eSTLC_2eArrow: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2eArrow___24a2,type,
    cPLF_2eStlc_2eSTLC_2eArrow___24a2: $i > $i > $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2eBool,type,
    cPLF_2eStlc_2eSTLC_2eBool: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2eabs,type,
    cPLF_2eStlc_2eSTLC_2eabs: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2eabs___24a3,type,
    cPLF_2eStlc_2eSTLC_2eabs___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2eapp,type,
    cPLF_2eStlc_2eSTLC_2eapp: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2eapp___24a2,type,
    cPLF_2eStlc_2eSTLC_2eapp___24a2: $i > $i > $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2econtext,type,
    cPLF_2eStlc_2eSTLC_2econtext: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2econtext___24t,type,
    cPLF_2eStlc_2eSTLC_2econtext___24t: $i > $o ).

thf(tp_cPLF_2eStlc_2eSTLC_2efls,type,
    cPLF_2eStlc_2eSTLC_2efls: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2ehas__type,type,
    cPLF_2eStlc_2eSTLC_2ehas__type: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2ehas__type___24a3,type,
    cPLF_2eStlc_2eSTLC_2ehas__type___24a3: $i > $i > $i > $o ).

thf(tp_cPLF_2eStlc_2eSTLC_2estep,type,
    cPLF_2eStlc_2eSTLC_2estep: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2estep___24a2,type,
    cPLF_2eStlc_2eSTLC_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eStlc_2eSTLC_2esubst,type,
    cPLF_2eStlc_2eSTLC_2esubst: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2esubst___24a3,type,
    cPLF_2eStlc_2eSTLC_2esubst___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2etest,type,
    cPLF_2eStlc_2eSTLC_2etest: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2etest___24a3,type,
    cPLF_2eStlc_2eSTLC_2etest___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2etm,type,
    cPLF_2eStlc_2eSTLC_2etm: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2etm___24t,type,
    cPLF_2eStlc_2eSTLC_2etm___24t: $i > $o ).

thf(tp_cPLF_2eStlc_2eSTLC_2etru,type,
    cPLF_2eStlc_2eSTLC_2etru: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2ety,type,
    cPLF_2eStlc_2eSTLC_2ety: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2ety___24t,type,
    cPLF_2eStlc_2eSTLC_2ety___24t: $i > $o ).

thf(tp_cPLF_2eStlc_2eSTLC_2evalue,type,
    cPLF_2eStlc_2eSTLC_2evalue: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2evalue___24a1,type,
    cPLF_2eStlc_2eSTLC_2evalue___24a1: $i > $o ).

thf(tp_cPLF_2eStlc_2eSTLC_2evar,type,
    cPLF_2eStlc_2eSTLC_2evar: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2evar___24a1,type,
    cPLF_2eStlc_2eSTLC_2evar___24a1: $i > $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2ex,type,
    cPLF_2eStlc_2eSTLC_2ex: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2ey,type,
    cPLF_2eStlc_2eSTLC_2ey: $i ).

thf(tp_cPLF_2eStlc_2eSTLC_2ez,type,
    cPLF_2eStlc_2eSTLC_2ez: $i ).

thf(tp_cPLF_2eTypes_2eBool,type,
    cPLF_2eTypes_2eBool: $i ).

thf(tp_cPLF_2eTypes_2eNat,type,
    cPLF_2eTypes_2eNat: $i ).

thf(tp_cPLF_2eTypes_2ebvalue,type,
    cPLF_2eTypes_2ebvalue: $i ).

thf(tp_cPLF_2eTypes_2ebvalue___24a1,type,
    cPLF_2eTypes_2ebvalue___24a1: $i > $o ).

thf(tp_cPLF_2eTypes_2efls,type,
    cPLF_2eTypes_2efls: $i ).

thf(tp_cPLF_2eTypes_2eiszro,type,
    cPLF_2eTypes_2eiszro: $i ).

thf(tp_cPLF_2eTypes_2eiszro___24a1,type,
    cPLF_2eTypes_2eiszro___24a1: $i > $i ).

thf(tp_cPLF_2eTypes_2envalue,type,
    cPLF_2eTypes_2envalue: $i ).

thf(tp_cPLF_2eTypes_2envalue___24a1,type,
    cPLF_2eTypes_2envalue___24a1: $i > $o ).

thf(tp_cPLF_2eTypes_2eprd,type,
    cPLF_2eTypes_2eprd: $i ).

thf(tp_cPLF_2eTypes_2eprd___24a1,type,
    cPLF_2eTypes_2eprd___24a1: $i > $i ).

thf(tp_cPLF_2eTypes_2escc,type,
    cPLF_2eTypes_2escc: $i ).

thf(tp_cPLF_2eTypes_2escc___24a1,type,
    cPLF_2eTypes_2escc___24a1: $i > $i ).

thf(tp_cPLF_2eTypes_2estep,type,
    cPLF_2eTypes_2estep: $i ).

thf(tp_cPLF_2eTypes_2estep___24a2,type,
    cPLF_2eTypes_2estep___24a2: $i > $i > $o ).

thf(tp_cPLF_2eTypes_2etest,type,
    cPLF_2eTypes_2etest: $i ).

thf(tp_cPLF_2eTypes_2etest___24a3,type,
    cPLF_2eTypes_2etest___24a3: $i > $i > $i > $i ).

thf(tp_cPLF_2eTypes_2etm,type,
    cPLF_2eTypes_2etm: $i ).

thf(tp_cPLF_2eTypes_2etm___24t,type,
    cPLF_2eTypes_2etm___24t: $i > $o ).

thf(tp_cPLF_2eTypes_2etru,type,
    cPLF_2eTypes_2etru: $i ).

thf(tp_cPLF_2eTypes_2ety,type,
    cPLF_2eTypes_2ety: $i ).

thf(tp_cPLF_2eTypes_2ety___24t,type,
    cPLF_2eTypes_2ety___24t: $i > $o ).

thf(tp_cPLF_2eTypes_2ezro,type,
    cPLF_2eTypes_2ezro: $i ).

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_24108704,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24108704: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24108704___24a2,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24108704___24a2: $i > $i > $o ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24109396,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24109396: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24109396___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24109396___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111211,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111211: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111211___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111211___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111428,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111428: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111428___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_24111428___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477532,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477532: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477532___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477532___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477863,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477863: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477863___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2ebool_2477863___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24115259,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24115259: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24115259___24a6,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24115259___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24115346,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24115346: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24115346___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24115346___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24210988,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24210988: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24210988___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24210988___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24211097,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24211097: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24211097___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24211097___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24211642,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24211642: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2elist_24211642___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2elist_24211642___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_241023,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_241023: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_241023___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_241023___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24113313,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24113313: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24113313___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24113313___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24113335,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24113335: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24113335___24a1,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24113335___24a1: $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24162913,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24162913: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24162913___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24162913___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24163035,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24163035: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24163035___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24163035___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24163138,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24163138: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24163138___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24163138___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24210866,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24210866: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24210866___24a3,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24210866___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24210921,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24210921: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24210921___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24210921___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24211329,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24211329: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24211329___24a4,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24211329___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24212097,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24212097: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_24212097___24a6,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_24212097___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477050,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477050: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477050___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477050___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477172,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477172: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477172___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477172___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477280,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477280: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477280___24a5,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477280___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477615,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477615: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477615___24a2,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477615___24a2: $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477928,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477928: $i ).

thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2477928___24a2,type,
    c_24__case__Coq_2eInit_2eDatatypes_2enat_2477928___24a2: $i > $i > $i ).

thf(tp_c_24__case__Coq_2eInit_2eSpecif_2esumor_24168291,type,
    c_24__case__Coq_2eInit_2eSpecif_2esumor_24168291: $i ).

thf(tp_c_24__case__Coq_2eInit_2eSpecif_2esumor_24168291___24a2,type,
    c_24__case__Coq_2eInit_2eSpecif_2esumor_24168291___24a2: $i > $i > $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24113330,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24113330: $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24113330___24a3,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2eZ_24113330___24a3: $i > $i > $i > $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24109181,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24109181: $i ).

thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24109181___24a2,type,
    c_24__case__Coq_2eNumbers_2eBinNums_2epositive_24109181___24a2: $i > $i > $i ).

thf(tp_c_24__case__PLF_2eReferences_2eSTLCRef_2etm_24208442,type,
    c_24__case__PLF_2eReferences_2eSTLCRef_2etm_24208442: $i ).

thf(tp_c_24__case__PLF_2eReferences_2eSTLCRef_2etm_24208442___24a5,type,
    c_24__case__PLF_2eReferences_2eSTLCRef_2etm_24208442___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__case__PLF_2eStlc_2eSTLC_2etm_24110793,type,
    c_24__case__PLF_2eStlc_2eSTLC_2etm_24110793: $i ).

thf(tp_c_24__case__PLF_2eStlc_2eSTLC_2etm_24110793___24a5,type,
    c_24__case__PLF_2eStlc_2eSTLC_2etm_24110793___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__fix__1042__v__CANONICAL__0,type,
    c_24__fix__1042__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__1042__v__CANONICAL__0___24a2,type,
    c_24__fix__1042__v__CANONICAL__0___24a2: $i > $i > $i ).

thf(tp_c_24__fix__109197__v__CANONICAL__0,type,
    c_24__fix__109197__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__109197__v__CANONICAL__0___24a1,type,
    c_24__fix__109197__v__CANONICAL__0___24a1: $i > $i ).

thf(tp_c_24__fix__111186__v__CANONICAL__0,type,
    c_24__fix__111186__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__111186__v__CANONICAL__0___24a3,type,
    c_24__fix__111186__v__CANONICAL__0___24a3: $i > $i > $i > $i ).

thf(tp_c_24__fix__115391__v__CANONICAL__1,type,
    c_24__fix__115391__v__CANONICAL__1: $i ).

thf(tp_c_24__fix__115391__v__CANONICAL__1___24a3,type,
    c_24__fix__115391__v__CANONICAL__1___24a3: $i > $i > $i > $i ).

thf(tp_c_24__fix__209397__v__CANONICAL__0,type,
    c_24__fix__209397__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__209397__v__CANONICAL__0___24a3,type,
    c_24__fix__209397__v__CANONICAL__0___24a3: $i > $i > $i > $i ).

thf(tp_c_24__fix__211015__v__CANONICAL__0,type,
    c_24__fix__211015__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__211015__v__CANONICAL__0___24a1,type,
    c_24__fix__211015__v__CANONICAL__0___24a1: $i > $i ).

thf(tp_c_24__fix__211134__v__CANONICAL__0,type,
    c_24__fix__211134__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__211134__v__CANONICAL__0___24a2,type,
    c_24__fix__211134__v__CANONICAL__0___24a2: $i > $i > $i ).

thf(tp_c_24__fix__211437__v__CANONICAL__0,type,
    c_24__fix__211437__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__211437__v__CANONICAL__0___24a3,type,
    c_24__fix__211437__v__CANONICAL__0___24a3: $i > $i > $i > $i ).

thf(tp_c_24__fix__211742__v__CANONICAL__0,type,
    c_24__fix__211742__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__211742__v__CANONICAL__0___24a4,type,
    c_24__fix__211742__v__CANONICAL__0___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__fix__212205__v__CANONICAL__0,type,
    c_24__fix__212205__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__212205__v__CANONICAL__0___24a3,type,
    c_24__fix__212205__v__CANONICAL__0___24a3: $i > $i > $i > $i ).

thf(tp_c_24__fix__77213__v__CANONICAL__0,type,
    c_24__fix__77213__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__77213__v__CANONICAL__0___24a2,type,
    c_24__fix__77213__v__CANONICAL__0___24a2: $i > $i > $i ).

thf(tp_c_24__fix__77299__v__CANONICAL__0,type,
    c_24__fix__77299__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__77299__v__CANONICAL__0___24a2,type,
    c_24__fix__77299__v__CANONICAL__0___24a2: $i > $i > $i ).

thf(tp_c_24__fix__77667__v__CANONICAL__0,type,
    c_24__fix__77667__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__77667__v__CANONICAL__0___24a2,type,
    c_24__fix__77667__v__CANONICAL__0___24a2: $i > $i > $i ).

thf(tp_c_24__fix__77969__v__CANONICAL__0,type,
    c_24__fix__77969__v__CANONICAL__0: $i ).

thf(tp_c_24__fix__77969__v__CANONICAL__0___24a2,type,
    c_24__fix__77969__v__CANONICAL__0___24a2: $i > $i > $i ).

thf(tp_c_24__fix__80266__1__add__carry,type,
    c_24__fix__80266__1__add__carry: $i ).

thf(tp_c_24__fix__80266__1__add__carry___24a2,type,
    c_24__fix__80266__1__add__carry___24a2: $i > $i > $i ).

thf(tp_c_24__lam__102430,type,
    c_24__lam__102430: $i ).

thf(tp_c_24__lam__102430___24a3,type,
    c_24__lam__102430___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__102430___24a4,type,
    c_24__lam__102430___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__102438,type,
    c_24__lam__102438: $i ).

thf(tp_c_24__lam__102438___24a3,type,
    c_24__lam__102438___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__102438___24a4,type,
    c_24__lam__102438___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__102446,type,
    c_24__lam__102446: $i ).

thf(tp_c_24__lam__102446___24a3,type,
    c_24__lam__102446___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__102446___24a4,type,
    c_24__lam__102446___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__102454,type,
    c_24__lam__102454: $i ).

thf(tp_c_24__lam__102454___24a3,type,
    c_24__lam__102454___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__102454___24a4,type,
    c_24__lam__102454___24a4: $i > $i > $i > $i > $o ).

thf(tp_c_24__lam__108016,type,
    c_24__lam__108016: $i ).

thf(tp_c_24__lam__108016___24a1,type,
    c_24__lam__108016___24a1: $i > $i ).

thf(tp_c_24__lam__112898,type,
    c_24__lam__112898: $i ).

thf(tp_c_24__lam__112898___24a3,type,
    c_24__lam__112898___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__112898___24a4,type,
    c_24__lam__112898___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__112906,type,
    c_24__lam__112906: $i ).

thf(tp_c_24__lam__112906___24a3,type,
    c_24__lam__112906___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__112906___24a4,type,
    c_24__lam__112906___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__168764,type,
    c_24__lam__168764: $i ).

thf(tp_c_24__lam__168764___24a5,type,
    c_24__lam__168764___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__168764___24a6,type,
    c_24__lam__168764___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__1722,type,
    c_24__lam__1722: $i ).

thf(tp_c_24__lam__1722___24a11,type,
    c_24__lam__1722___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__1722___24a12,type,
    c_24__lam__1722___24a12: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__2102,type,
    c_24__lam__2102: $i ).

thf(tp_c_24__lam__2102___24a1,type,
    c_24__lam__2102___24a1: $i > $i ).

thf(tp_c_24__lam__2102___24a3,type,
    c_24__lam__2102___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__2109,type,
    c_24__lam__2109: $i ).

thf(tp_c_24__lam__2109___24a1,type,
    c_24__lam__2109___24a1: $i > $i ).

thf(tp_c_24__lam__2109___24a4,type,
    c_24__lam__2109___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__2119,type,
    c_24__lam__2119: $i ).

thf(tp_c_24__lam__2119___24a1,type,
    c_24__lam__2119___24a1: $i > $i ).

thf(tp_c_24__lam__2119___24a3,type,
    c_24__lam__2119___24a3: $i > $i > $i > $i ).

thf(tp_c_24__lam__2126,type,
    c_24__lam__2126: $i ).

thf(tp_c_24__lam__2126___24a1,type,
    c_24__lam__2126___24a1: $i > $i ).

thf(tp_c_24__lam__2126___24a4,type,
    c_24__lam__2126___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__218144,type,
    c_24__lam__218144: $i ).

thf(tp_c_24__lam__218144___24a7,type,
    c_24__lam__218144___24a7: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__218144___24a9,type,
    c_24__lam__218144___24a9: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__79669,type,
    c_24__lam__79669: $i ).

thf(tp_c_24__lam__79669___24a5,type,
    c_24__lam__79669___24a5: $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__lam__79669___24a6,type,
    c_24__lam__79669___24a6: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__let__11__subst__l__1650,type,
    c_24__let__11__subst__l__1650: $i ).

thf(tp_c_24__let__11__subst__l__1650___24a10,type,
    c_24__let__11__subst__l__1650___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__let__3__s__168284,type,
    c_24__let__3__s__168284: $i ).

thf(tp_c_24__let__3__s__168284___24a2,type,
    c_24__let__3__s__168284___24a2: $i > $i > $i ).

thf(tp_c_24__let__var__6__p__113399__113402,type,
    c_24__let__var__6__p__113399__113402: $i ).

thf(tp_c_24__let__var__6__p__113399__113402___24a4,type,
    c_24__let__var__6__p__113399__113402___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__let__var__6__p__113401__113403,type,
    c_24__let__var__6__p__113401__113403: $i ).

thf(tp_c_24__let__var__6__p__113401__113403___24a4,type,
    c_24__let__var__6__p__113401__113403___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__prop__112334,type,
    c_24__prop__112334: $i ).

thf(tp_c_24__prop__112334___24a2,type,
    c_24__prop__112334___24a2: $i > $i > $i ).

thf(tp_c_24__prop__154310,type,
    c_24__prop__154310: $i ).

thf(tp_c_24__prop__154310___24a2,type,
    c_24__prop__154310___24a2: $i > $i > $i ).

thf(tp_c_24__prop__154311,type,
    c_24__prop__154311: $i ).

thf(tp_c_24__prop__154311___24a2,type,
    c_24__prop__154311___24a2: $i > $i > $i ).

thf(tp_c_24__prop__154312,type,
    c_24__prop__154312: $i ).

thf(tp_c_24__prop__154312___24a2,type,
    c_24__prop__154312___24a2: $i > $i > $i ).

thf(tp_c_24__prop__154313,type,
    c_24__prop__154313: $i ).

thf(tp_c_24__prop__154313___24a2,type,
    c_24__prop__154313___24a2: $i > $i > $i ).

thf(tp_c_24__prop__168300,type,
    c_24__prop__168300: $i ).

thf(tp_c_24__prop__168300___24a2,type,
    c_24__prop__168300___24a2: $i > $i > $i ).

thf(tp_c_24__prop__168301,type,
    c_24__prop__168301: $i ).

thf(tp_c_24__prop__168301___24a2,type,
    c_24__prop__168301___24a2: $i > $i > $i ).

thf(tp_c_24__prop__168302,type,
    c_24__prop__168302: $i ).

thf(tp_c_24__prop__168302___24a2,type,
    c_24__prop__168302___24a2: $i > $i > $i ).

thf(tp_c_24__prop__168303,type,
    c_24__prop__168303: $i ).

thf(tp_c_24__prop__168303___24a2,type,
    c_24__prop__168303___24a2: $i > $i > $i ).

thf(tp_c_24__prop__168309,type,
    c_24__prop__168309: $i ).

thf(tp_c_24__prop__168309___24a2,type,
    c_24__prop__168309___24a2: $i > $i > $i ).

thf(tp_c_24__prop__198720,type,
    c_24__prop__198720: $i ).

thf(tp_c_24__prop__198720___24a2,type,
    c_24__prop__198720___24a2: $i > $i > $i ).

thf(tp_c_24__prop__92094,type,
    c_24__prop__92094: $i ).

thf(tp_c_24__prop__92094___24a4,type,
    c_24__prop__92094___24a4: $i > $i > $i > $i > $i ).

thf(tp_c_24__prop__92095,type,
    c_24__prop__92095: $i ).

thf(tp_c_24__prop__92095___24a3,type,
    c_24__prop__92095___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__92096,type,
    c_24__prop__92096: $i ).

thf(tp_c_24__prop__92096___24a3,type,
    c_24__prop__92096___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__92097,type,
    c_24__prop__92097: $i ).

thf(tp_c_24__prop__92097___24a3,type,
    c_24__prop__92097___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__92098,type,
    c_24__prop__92098: $i ).

thf(tp_c_24__prop__92098___24a3,type,
    c_24__prop__92098___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__92099,type,
    c_24__prop__92099: $i ).

thf(tp_c_24__prop__92099___24a3,type,
    c_24__prop__92099___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__92100,type,
    c_24__prop__92100: $i ).

thf(tp_c_24__prop__92100___24a2,type,
    c_24__prop__92100___24a2: $i > $i > $i ).

thf(tp_c_24__prop__92114,type,
    c_24__prop__92114: $i ).

thf(tp_c_24__prop__92114___24a2,type,
    c_24__prop__92114___24a2: $i > $i > $i ).

thf(tp_c_24__prop__92115,type,
    c_24__prop__92115: $i ).

thf(tp_c_24__prop__92115___24a3,type,
    c_24__prop__92115___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__92116,type,
    c_24__prop__92116: $i ).

thf(tp_c_24__prop__92116___24a3,type,
    c_24__prop__92116___24a3: $i > $i > $i > $i ).

thf(tp_c_24__prop__94743,type,
    c_24__prop__94743: $i ).

thf(tp_c_24__prop__94743___24a2,type,
    c_24__prop__94743___24a2: $i > $i > $i ).

thf(tp_c_24__type__100304___24a22,type,
    c_24__type__100304___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__100304___24t,type,
    c_24__type__100304___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__100627___24a22,type,
    c_24__type__100627___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__100627___24t,type,
    c_24__type__100627___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__100973___24a22,type,
    c_24__type__100973___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__100973___24t,type,
    c_24__type__100973___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__101319___24a22,type,
    c_24__type__101319___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__101319___24t,type,
    c_24__type__101319___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__101642___24a22,type,
    c_24__type__101642___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__101642___24t,type,
    c_24__type__101642___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__101965___24a22,type,
    c_24__type__101965___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__101965___24t,type,
    c_24__type__101965___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__102311___24a22,type,
    c_24__type__102311___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__102311___24t,type,
    c_24__type__102311___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__102413,type,
    c_24__type__102413: $i ).

thf(tp_c_24__type__102413___24t,type,
    c_24__type__102413___24t: $i > $o ).

thf(tp_c_24__type__102497,type,
    c_24__type__102497: $i ).

thf(tp_c_24__type__102497___24t,type,
    c_24__type__102497___24t: $i > $o ).

thf(tp_c_24__type__102623,type,
    c_24__type__102623: $i ).

thf(tp_c_24__type__102623___24t,type,
    c_24__type__102623___24t: $i > $o ).

thf(tp_c_24__type__102887,type,
    c_24__type__102887: $i ).

thf(tp_c_24__type__102887___24t,type,
    c_24__type__102887___24t: $i > $o ).

thf(tp_c_24__type__104035___24a17,type,
    c_24__type__104035___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__104035___24t,type,
    c_24__type__104035___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__104248___24a17,type,
    c_24__type__104248___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__104248___24t,type,
    c_24__type__104248___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__104461___24a17,type,
    c_24__type__104461___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__104461___24t,type,
    c_24__type__104461___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__104656___24a17,type,
    c_24__type__104656___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__104656___24t,type,
    c_24__type__104656___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__104869___24a17,type,
    c_24__type__104869___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__104869___24t,type,
    c_24__type__104869___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__105082___24a17,type,
    c_24__type__105082___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__105082___24t,type,
    c_24__type__105082___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__105295___24a17,type,
    c_24__type__105295___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__105295___24t,type,
    c_24__type__105295___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__105508___24a17,type,
    c_24__type__105508___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__105508___24t,type,
    c_24__type__105508___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__105703___24a17,type,
    c_24__type__105703___24a17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__105703___24t,type,
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thf(tp_c_24__type__85967___24a2,type,
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thf(tp_c_24__type__85967___24t,type,
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thf(tp_c_24__type__85971,type,
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thf(tp_c_24__type__86036,type,
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thf(tp_c_24__type__86036___24t,type,
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thf(tp_c_24__type__87130___24t,type,
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thf(tp_c_24__type__87305___24t,type,
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thf(tp_c_24__type__87398___24t,type,
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thf(tp_c_24__type__87552___24t,type,
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thf(tp_c_24__type__87615___24t,type,
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thf(tp_c_24__type__88563___24t,type,
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thf(tp_c_24__type__88617___24t,type,
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thf(tp_c_24__type__91868___24t,type,
    c_24__type__91868___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__91876,type,
    c_24__type__91876: $i ).

thf(tp_c_24__type__91876___24t,type,
    c_24__type__91876___24t: $i > $o ).

thf(tp_c_24__type__91893,type,
    c_24__type__91893: $i ).

thf(tp_c_24__type__91893___24t,type,
    c_24__type__91893___24t: $i > $o ).

thf(tp_c_24__type__921,type,
    c_24__type__921: $i ).

thf(tp_c_24__type__921___24t,type,
    c_24__type__921___24t: $i > $o ).

thf(tp_c_24__type__92261,type,
    c_24__type__92261: $i ).

thf(tp_c_24__type__92261___24t,type,
    c_24__type__92261___24t: $i > $o ).

thf(tp_c_24__type__931,type,
    c_24__type__931: $i ).

thf(tp_c_24__type__931___24t,type,
    c_24__type__931___24t: $i > $o ).

thf(tp_c_24__type__934___24a1,type,
    c_24__type__934___24a1: $i > $i ).

thf(tp_c_24__type__934___24t,type,
    c_24__type__934___24t: $i > $i > $o ).

thf(tp_c_24__type__93878,type,
    c_24__type__93878: $i ).

thf(tp_c_24__type__93878___24t,type,
    c_24__type__93878___24t: $i > $o ).

thf(tp_c_24__type__93894,type,
    c_24__type__93894: $i ).

thf(tp_c_24__type__93894___24t,type,
    c_24__type__93894___24t: $i > $o ).

thf(tp_c_24__type__93898,type,
    c_24__type__93898: $i ).

thf(tp_c_24__type__93898___24t,type,
    c_24__type__93898___24t: $i > $o ).

thf(tp_c_24__type__93977,type,
    c_24__type__93977: $i ).

thf(tp_c_24__type__93977___24t,type,
    c_24__type__93977___24t: $i > $o ).

thf(tp_c_24__type__94744,type,
    c_24__type__94744: $i ).

thf(tp_c_24__type__94744___24t,type,
    c_24__type__94744___24t: $i > $o ).

thf(tp_c_24__type__94747,type,
    c_24__type__94747: $i ).

thf(tp_c_24__type__94747___24t,type,
    c_24__type__94747___24t: $i > $o ).

thf(tp_c_24__type__94773,type,
    c_24__type__94773: $i ).

thf(tp_c_24__type__94773___24t,type,
    c_24__type__94773___24t: $i > $o ).

thf(tp_c_24__type__949,type,
    c_24__type__949: $i ).

thf(tp_c_24__type__949___24t,type,
    c_24__type__949___24t: $i > $o ).

thf(tp_c_24__type__952,type,
    c_24__type__952: $i ).

thf(tp_c_24__type__952___24t,type,
    c_24__type__952___24t: $i > $o ).

thf(tp_c_24__type__96796,type,
    c_24__type__96796: $i ).

thf(tp_c_24__type__96796___24t,type,
    c_24__type__96796___24t: $i > $o ).

thf(tp_c_24__type__96822___24a3,type,
    c_24__type__96822___24a3: $i > $i > $i > $i ).

thf(tp_c_24__type__96822___24t,type,
    c_24__type__96822___24t: $i > $i > $i > $i > $o ).

thf(tp_c_24__type__96920,type,
    c_24__type__96920: $i ).

thf(tp_c_24__type__96920___24t,type,
    c_24__type__96920___24t: $i > $o ).

thf(tp_c_24__type__96925,type,
    c_24__type__96925: $i ).

thf(tp_c_24__type__96925___24t,type,
    c_24__type__96925___24t: $i > $o ).

thf(tp_c_24__type__96930,type,
    c_24__type__96930: $i ).

thf(tp_c_24__type__96930___24t,type,
    c_24__type__96930___24t: $i > $o ).

thf(tp_c_24__type__97559___24a22,type,
    c_24__type__97559___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__97559___24t,type,
    c_24__type__97559___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__97905___24a22,type,
    c_24__type__97905___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__97905___24t,type,
    c_24__type__97905___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__98251___24a22,type,
    c_24__type__98251___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__98251___24t,type,
    c_24__type__98251___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__98574___24a22,type,
    c_24__type__98574___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__98574___24t,type,
    c_24__type__98574___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__98920___24a22,type,
    c_24__type__98920___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__98920___24t,type,
    c_24__type__98920___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__99266___24a22,type,
    c_24__type__99266___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__99266___24t,type,
    c_24__type__99266___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__99612___24a22,type,
    c_24__type__99612___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__99612___24t,type,
    c_24__type__99612___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_24__type__99958___24a22,type,
    c_24__type__99958___24a22: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_24__type__99958___24t,type,
    c_24__type__99958___24t: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_3c_3d_3e,type,
    c_3c_3d_3e: $i ).

thf(tp_c_3d,type,
    c_3d: $i ).

thf(tp_c_3d___24a1,type,
    c_3d___24a1: $i > $i ).

thf(tp_happ,type,
    happ: $i > $i > $i ).

thf(tp_p,type,
    p: $i > $o ).

thf(tp_sK10_SY273,type,
    sK10_SY273: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK1_V0__ST,type,
    sK1_V0__ST: $i ).

thf(tp_sK2_SX0,type,
    sK2_SX0: $i ).

thf(tp_sK3_SY158,type,
    sK3_SY158: $i ).

thf(tp_sK4_SY193,type,
    sK4_SY193: $i ).

thf(tp_sK5_SY220,type,
    sK5_SY220: $i ).

thf(tp_sK6_SY250,type,
    sK6_SY250: $i ).

thf(tp_sK7_SY252,type,
    sK7_SY252: $i > $i > $i > $i > $i ).

thf(tp_sK8_SY274,type,
    sK8_SY274: $i > $i > $i > $i > $i ).

thf(tp_sK9_SY272,type,
    sK9_SY272: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_t,type,
    t: $i > $i > $o ).

thf(53,axiom,
    ! [V_24Y: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V_24Y )
    <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2etm ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$tdef_PLF.References.STLCRef.tm') ).

thf(171,axiom,
    ! [V_24Y: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V_24Y )
    <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2estore ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$tdef_PLF.References.STLCRef.store') ).

thf(240,axiom,
    ! [V_24Y: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V_24Y )
    <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2ety ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$tdef_PLF.References.STLCRef.ty') ).

thf(1227,axiom,
    ! [V0__ST: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
     => ! [V1__t: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
         => ! [V2__t_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
             => ! [V3__T: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                 => ! [V4__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                     => ! [V5__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                               => ? [V9__ST_27: $i] :
                                    ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                    & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                    & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','UseAuto.PreservationProgressReferences.preservation') ).

thf(1263,axiom,
    ! [V0__Gamma: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ V0__Gamma )
     => ! [V1__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V1__ST )
         => ! [V2__ST_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V2__ST_27 )
             => ! [V3__t: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V3__t )
                 => ! [V4__T: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V4__T )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V2__ST_27 @ V1__ST )
                       => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ V0__Gamma @ V1__ST @ V3__t @ V4__T )
                         => ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ V0__Gamma @ V2__ST_27 @ V3__t @ V4__T ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.store_weakening') ).

thf(1264,axiom,
    ! [V0__ST: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
     => ! [V1__t: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
         => ! [V2__T: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V2__T )
             => ! [V3__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                 => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V2__T )
                   => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V3__st )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ V1__t )
                        | ? [V6__t_27: $i] :
                            ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V6__t_27 )
                            & ? [V7__st_27: $i] :
                                ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V7__st_27 )
                                & ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V6__t_27 @ V7__st_27 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.progress') ).

thf(1265,axiom,
    ! [V0__ST: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
     => ! [V1__t: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
         => ! [V2__t_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
             => ! [V3__T: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                 => ! [V4__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                     => ! [V5__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                               => ? [V9__ST_27: $i] :
                                    ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                    & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                    & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.preservation') ).

thf(1273,axiom,
    ! [V0__ST: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
     => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V0__ST @ V0__ST ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.extends_refl') ).

thf(1274,axiom,
    ! [V0__ST_27: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST_27 )
     => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V0__ST_27 @ ( cCoq_2eInit_2eDatatypes_2enil___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.extends_nil') ).

thf(1277,axiom,
    ! [V0__x: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V0__x )
     => ! [V1__ST_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V1__ST_27 )
         => ! [V2__ST: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V2__ST )
             => ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V1__ST_27 @ V2__ST )
               => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ V0__x @ V1__ST_27 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ V0__x @ V2__ST ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.extends_cons') ).

thf(1311,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t1_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
         => ! [V2__st: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
             => ! [V3__st_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                   => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_Succ') ).

thf(1313,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t1_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
         => ! [V2__st: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
             => ! [V3__st_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                   => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_Ref') ).

thf(1315,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t1_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
         => ! [V2__st: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
             => ! [V3__st_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                   => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_Pred') ).

thf(1318,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t2: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t2 )
         => ! [V2__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t1_27 )
             => ! [V3__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                 => ! [V4__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t1_27 @ V4__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ V0__t1 @ V1__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ V2__t1_27 @ V1__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_Mult1') ).

thf(1321,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t1_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
         => ! [V2__t2: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
             => ! [V3__t3: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V3__t3 )
                 => ! [V4__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                     => ! [V5__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V5__st_27 ) )
                           => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ V0__t1 @ V2__t2 @ V3__t3 ) @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ V1__t1_27 @ V2__t2 @ V3__t3 ) @ V5__st_27 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_If0') ).

thf(1323,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t1_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
         => ! [V2__st: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
             => ! [V3__st_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                   => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_Deref') ).

thf(1325,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t1_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
         => ! [V2__t2: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
             => ! [V3__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                 => ! [V4__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V4__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ V0__t1 @ V2__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ V1__t1_27 @ V2__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_Assign1') ).

thf(1329,axiom,
    ! [V0__t1: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
     => ! [V1__t1_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
         => ! [V2__t2: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
             => ! [V3__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                 => ! [V4__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V4__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ V0__t1 @ V2__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ V1__t1_27 @ V2__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','PLF.References.STLCRef.ST_App1') ).

thf(1531,axiom,
    cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eunit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.unit') ).

thf(1534,axiom,
    cType___24t @ cPLF_2eReferences_2eSTLCRef_2ety,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.ty') ).

thf(1536,axiom,
    cType___24t @ cPLF_2eReferences_2eSTLCRef_2etm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.tm') ).

thf(1543,axiom,
    cType___24t @ cPLF_2eReferences_2eSTLCRef_2estore,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.store') ).

thf(1558,axiom,
    cPLF_2eReferences_2eSTLCRef_2ety___24t @ cPLF_2eReferences_2eSTLCRef_2eUnit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.Unit') ).

thf(1560,axiom,
    cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop__fun,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.RefsAndNontermination.loop_fun') ).

thf(1561,axiom,
    cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.RefsAndNontermination.loop') ).

thf(1562,axiom,
    cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2efactorial,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.RefsAndNontermination.factorial') ).

thf(1564,axiom,
    cPLF_2eReferences_2eSTLCRef_2ety___24t @ cPLF_2eReferences_2eSTLCRef_2eNat,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_PLF.References.STLCRef.Nat') ).

thf(2964,axiom,
    ! [Vvar__0__A__1119: $i,Vvar__0__A__1120: $i,Vvar__1__B__1121: $i,Vvar__1__B__1122: $i,Vvar__2___24Anonymous__1123: $i,Vvar__2___24Anonymous__1124: $i,Vvar__3___24Anonymous__1125: $i,Vvar__3___24Anonymous__1126: $i] :
      ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ Vvar__0__A__1119 @ Vvar__1__B__1121 @ Vvar__2___24Anonymous__1123 @ Vvar__3___24Anonymous__1125 )
        = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ Vvar__0__A__1120 @ Vvar__1__B__1122 @ Vvar__2___24Anonymous__1124 @ Vvar__3___24Anonymous__1126 ) )
     => ( ( Vvar__3___24Anonymous__1125 = Vvar__3___24Anonymous__1126 )
        & ( Vvar__2___24Anonymous__1123 = Vvar__2___24Anonymous__1124 )
        & ( Vvar__1__B__1121 = Vvar__1__B__1122 )
        & ( Vvar__0__A__1119 = Vvar__0__A__1120 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_inj_Coq.Init.Datatypes.pair') ).

thf(3074,axiom,
    ! [Vvar__211755: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ Vvar__211755 )
    <=> ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ Vvar__211755 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_PLF.References.STLCRef.store_ty') ).

thf(3077,axiom,
    ! [Vvar__203739: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ Vvar__203739 )
    <=> ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ Vvar__203739 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_PLF.References.STLCRef.store') ).

thf(3357,conjecture,
    ! [V0__ST: $i] :
      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
     => ! [V1__t: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
         => ! [V2__t_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
             => ! [V3__T: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                 => ! [V4__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                     => ! [V5__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                               => ? [V9__ST_27: $i] :
                                    ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                    & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                    & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

thf(3358,negated_conjecture,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__t_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
                 => ! [V3__T: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                                   => ? [V9__ST_27: $i] :
                                        ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                        & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                        & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                        & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[3357]) ).

thf(3359,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__t_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
                 => ! [V3__T: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                                   => ? [V9__ST_27: $i] :
                                        ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                        & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                        & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                        & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[3358]) ).

thf(3360,plain,
    ( ( ! [V_24Y: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V_24Y )
        <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2etm ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(3361,plain,
    ( ( ! [V_24Y: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V_24Y )
        <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2estore ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(3362,plain,
    ( ( ! [V_24Y: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V_24Y )
        <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2ety ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[240]) ).

thf(3363,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__t_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
                 => ! [V3__T: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                                   => ? [V9__ST_27: $i] :
                                        ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                        & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                        & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                        & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1227]) ).

thf(3364,plain,
    ( ( ! [V0__Gamma: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ V0__Gamma )
         => ! [V1__ST: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V1__ST )
             => ! [V2__ST_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V2__ST_27 )
                 => ! [V3__t: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V3__t )
                     => ! [V4__T: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V4__T )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V2__ST_27 @ V1__ST )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ V0__Gamma @ V1__ST @ V3__t @ V4__T )
                             => ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ V0__Gamma @ V2__ST_27 @ V3__t @ V4__T ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1263]) ).

thf(3365,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__T: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V2__T )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V2__T )
                       => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V3__st )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ V1__t )
                            | ? [V6__t_27: $i] :
                                ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V6__t_27 )
                                & ? [V7__st_27: $i] :
                                    ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V7__st_27 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V6__t_27 @ V7__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1264]) ).

thf(3366,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__t_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
                 => ! [V3__T: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                                   => ? [V9__ST_27: $i] :
                                        ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                        & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                        & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                        & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1265]) ).

thf(3367,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V0__ST @ V0__ST ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1273]) ).

thf(3368,plain,
    ( ( ! [V0__ST_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST_27 )
         => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V0__ST_27 @ ( cCoq_2eInit_2eDatatypes_2enil___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1274]) ).

thf(3369,plain,
    ( ( ! [V0__x: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V0__x )
         => ! [V1__ST_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V1__ST_27 )
             => ! [V2__ST: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V2__ST )
                 => ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V1__ST_27 @ V2__ST )
                   => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ V0__x @ V1__ST_27 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ V0__x @ V2__ST ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1277]) ).

thf(3370,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1311]) ).

thf(3371,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1313]) ).

thf(3372,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1315]) ).

thf(3373,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t2: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t2 )
             => ! [V2__t1_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t1_27 )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ! [V4__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t1_27 @ V4__st_27 ) )
                           => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ V0__t1 @ V1__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ V2__t1_27 @ V1__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1318]) ).

thf(3374,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__t2: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
                 => ! [V3__t3: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V3__t3 )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V5__st_27 ) )
                               => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ V0__t1 @ V2__t2 @ V3__t3 ) @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ V1__t1_27 @ V2__t2 @ V3__t3 ) @ V5__st_27 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1321]) ).

thf(3375,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1323]) ).

thf(3376,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__t2: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ! [V4__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V4__st_27 ) )
                           => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ V0__t1 @ V2__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ V1__t1_27 @ V2__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1325]) ).

thf(3377,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__t2: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ! [V4__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V4__st_27 ) )
                           => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ V0__t1 @ V2__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ V1__t1_27 @ V2__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1329]) ).

thf(3378,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eunit )
    = $true ),
    inference(unfold_def,[status(thm)],[1531]) ).

thf(3379,plain,
    ( ( cType___24t @ cPLF_2eReferences_2eSTLCRef_2ety )
    = $true ),
    inference(unfold_def,[status(thm)],[1534]) ).

thf(3380,plain,
    ( ( cType___24t @ cPLF_2eReferences_2eSTLCRef_2etm )
    = $true ),
    inference(unfold_def,[status(thm)],[1536]) ).

thf(3381,plain,
    ( ( cType___24t @ cPLF_2eReferences_2eSTLCRef_2estore )
    = $true ),
    inference(unfold_def,[status(thm)],[1543]) ).

thf(3382,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ cPLF_2eReferences_2eSTLCRef_2eUnit )
    = $true ),
    inference(unfold_def,[status(thm)],[1558]) ).

thf(3383,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop__fun )
    = $true ),
    inference(unfold_def,[status(thm)],[1560]) ).

thf(3384,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop )
    = $true ),
    inference(unfold_def,[status(thm)],[1561]) ).

thf(3385,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2efactorial )
    = $true ),
    inference(unfold_def,[status(thm)],[1562]) ).

thf(3386,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ cPLF_2eReferences_2eSTLCRef_2eNat )
    = $true ),
    inference(unfold_def,[status(thm)],[1564]) ).

thf(3387,plain,
    ( ( ! [Vvar__0__A__1119: $i,Vvar__0__A__1120: $i,Vvar__1__B__1121: $i,Vvar__1__B__1122: $i,Vvar__2___24Anonymous__1123: $i,Vvar__2___24Anonymous__1124: $i,Vvar__3___24Anonymous__1125: $i,Vvar__3___24Anonymous__1126: $i] :
          ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ Vvar__0__A__1119 @ Vvar__1__B__1121 @ Vvar__2___24Anonymous__1123 @ Vvar__3___24Anonymous__1125 )
            = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ Vvar__0__A__1120 @ Vvar__1__B__1122 @ Vvar__2___24Anonymous__1124 @ Vvar__3___24Anonymous__1126 ) )
         => ( ( Vvar__3___24Anonymous__1125 = Vvar__3___24Anonymous__1126 )
            & ( Vvar__2___24Anonymous__1123 = Vvar__2___24Anonymous__1124 )
            & ( Vvar__1__B__1121 = Vvar__1__B__1122 )
            & ( Vvar__0__A__1119 = Vvar__0__A__1120 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2964]) ).

thf(3388,plain,
    ( ( ! [Vvar__211755: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ Vvar__211755 )
        <=> ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ Vvar__211755 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3074]) ).

thf(3389,plain,
    ( ( ! [Vvar__203739: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ Vvar__203739 )
        <=> ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ Vvar__203739 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3077]) ).

thf(3390,plain,
    ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ sK1_V0__ST )
     => ! [SY87: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY87 )
         => ! [SY88: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY88 )
             => ! [SY89: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY89 )
                 => ! [SY90: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY90 )
                     => ! [SY91: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY91 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ SY87 @ SY89 )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY90 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY87 @ SY90 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY88 @ SY91 ) )
                               => ? [SY92: $i] :
                                    ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY92 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY92 @ sK1_V0__ST )
                                    & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY92 @ SY88 @ SY89 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY92 @ SY91 ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3359]) ).

thf(3391,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ sK1_V0__ST )
    = $true ),
    inference(standard_cnf,[status(thm)],[3390]) ).

thf(3392,plain,
    ( ( ! [SY87: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY87 )
         => ! [SY88: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY88 )
             => ! [SY89: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY89 )
                 => ! [SY90: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY90 )
                     => ! [SY91: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY91 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ SY87 @ SY89 )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY90 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY87 @ SY90 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY88 @ SY91 ) )
                               => ? [SY92: $i] :
                                    ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY92 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY92 @ sK1_V0__ST )
                                    & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY92 @ SY88 @ SY89 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY92 @ SY91 ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[3390]) ).

thf(3393,plain,
    ( ( ~ ! [SY87: $i] :
            ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY87 )
           => ! [SY88: $i] :
                ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY88 )
               => ! [SY89: $i] :
                    ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY89 )
                   => ! [SY90: $i] :
                        ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY90 )
                       => ! [SY91: $i] :
                            ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY91 )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ SY87 @ SY89 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY90 )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY87 @ SY90 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY88 @ SY91 ) )
                                 => ? [SY92: $i] :
                                      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY92 )
                                      & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY92 @ sK1_V0__ST )
                                      & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY92 @ SY88 @ SY89 )
                                      & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY92 @ SY91 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3392]) ).

thf(3394,plain,
    ( ( ! [Vvar__203739: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ Vvar__203739 )
        <=> ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ Vvar__203739 ) ) )
    = $true ),
    inference(copy,[status(thm)],[3389]) ).

thf(3395,plain,
    ( ( ! [Vvar__211755: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ Vvar__211755 )
        <=> ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ Vvar__211755 ) ) )
    = $true ),
    inference(copy,[status(thm)],[3388]) ).

thf(3396,plain,
    ( ( ! [Vvar__0__A__1119: $i,Vvar__0__A__1120: $i,Vvar__1__B__1121: $i,Vvar__1__B__1122: $i,Vvar__2___24Anonymous__1123: $i,Vvar__2___24Anonymous__1124: $i,Vvar__3___24Anonymous__1125: $i,Vvar__3___24Anonymous__1126: $i] :
          ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ Vvar__0__A__1119 @ Vvar__1__B__1121 @ Vvar__2___24Anonymous__1123 @ Vvar__3___24Anonymous__1125 )
            = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ Vvar__0__A__1120 @ Vvar__1__B__1122 @ Vvar__2___24Anonymous__1124 @ Vvar__3___24Anonymous__1126 ) )
         => ( ( Vvar__3___24Anonymous__1125 = Vvar__3___24Anonymous__1126 )
            & ( Vvar__2___24Anonymous__1123 = Vvar__2___24Anonymous__1124 )
            & ( Vvar__1__B__1121 = Vvar__1__B__1122 )
            & ( Vvar__0__A__1119 = Vvar__0__A__1120 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3387]) ).

thf(3397,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ cPLF_2eReferences_2eSTLCRef_2eNat )
    = $true ),
    inference(copy,[status(thm)],[3386]) ).

thf(3398,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2efactorial )
    = $true ),
    inference(copy,[status(thm)],[3385]) ).

thf(3399,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop )
    = $true ),
    inference(copy,[status(thm)],[3384]) ).

thf(3400,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eRefsAndNontermination_2eloop__fun )
    = $true ),
    inference(copy,[status(thm)],[3383]) ).

thf(3401,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ cPLF_2eReferences_2eSTLCRef_2eUnit )
    = $true ),
    inference(copy,[status(thm)],[3382]) ).

thf(3402,plain,
    ( ( cType___24t @ cPLF_2eReferences_2eSTLCRef_2estore )
    = $true ),
    inference(copy,[status(thm)],[3381]) ).

thf(3403,plain,
    ( ( cType___24t @ cPLF_2eReferences_2eSTLCRef_2etm )
    = $true ),
    inference(copy,[status(thm)],[3380]) ).

thf(3404,plain,
    ( ( cType___24t @ cPLF_2eReferences_2eSTLCRef_2ety )
    = $true ),
    inference(copy,[status(thm)],[3379]) ).

thf(3405,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ cPLF_2eReferences_2eSTLCRef_2eunit )
    = $true ),
    inference(copy,[status(thm)],[3378]) ).

thf(3406,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__t2: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ! [V4__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V4__st_27 ) )
                           => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ V0__t1 @ V2__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ V1__t1_27 @ V2__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3377]) ).

thf(3407,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__t2: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ! [V4__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V4__st_27 ) )
                           => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ V0__t1 @ V2__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ V1__t1_27 @ V2__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3376]) ).

thf(3408,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3375]) ).

thf(3409,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__t2: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t2 )
                 => ! [V3__t3: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V3__t3 )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V5__st_27 ) )
                               => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ V0__t1 @ V2__t2 @ V3__t3 ) @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ V1__t1_27 @ V2__t2 @ V3__t3 ) @ V5__st_27 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3374]) ).

thf(3410,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t2: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t2 )
             => ! [V2__t1_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t1_27 )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ! [V4__st_27: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st_27 )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t1_27 @ V4__st_27 ) )
                           => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ V0__t1 @ V1__t2 ) @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ V2__t1_27 @ V1__t2 ) @ V4__st_27 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3373]) ).

thf(3411,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3372]) ).

thf(3412,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3371]) ).

thf(3413,plain,
    ( ( ! [V0__t1: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V0__t1 )
         => ! [V1__t1_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t1_27 )
             => ! [V2__st: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V2__st )
                 => ! [V3__st_27: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st_27 )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V0__t1 @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t1_27 @ V3__st_27 ) )
                       => ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ V0__t1 ) @ V2__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ V1__t1_27 ) @ V3__st_27 ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3370]) ).

thf(3414,plain,
    ( ( ! [V0__x: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V0__x )
         => ! [V1__ST_27: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V1__ST_27 )
             => ! [V2__ST: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V2__ST )
                 => ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V1__ST_27 @ V2__ST )
                   => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ V0__x @ V1__ST_27 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ V0__x @ V2__ST ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3369]) ).

thf(3415,plain,
    ( ( ! [V0__ST_27: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST_27 )
         => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V0__ST_27 @ ( cCoq_2eInit_2eDatatypes_2enil___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3368]) ).

thf(3416,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V0__ST @ V0__ST ) ) )
    = $true ),
    inference(copy,[status(thm)],[3367]) ).

thf(3417,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__t_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
                 => ! [V3__T: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                                   => ? [V9__ST_27: $i] :
                                        ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                        & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                        & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                        & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3366]) ).

thf(3418,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__T: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V2__T )
                 => ! [V3__st: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V3__st )
                     => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V2__T )
                       => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V3__st )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ V1__t )
                            | ? [V6__t_27: $i] :
                                ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V6__t_27 )
                                & ? [V7__st_27: $i] :
                                    ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V7__st_27 )
                                    & ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V3__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V6__t_27 @ V7__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3365]) ).

thf(3419,plain,
    ( ( ! [V0__Gamma: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ V0__Gamma )
         => ! [V1__ST: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V1__ST )
             => ! [V2__ST_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V2__ST_27 )
                 => ! [V3__t: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V3__t )
                     => ! [V4__T: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V4__T )
                         => ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V2__ST_27 @ V1__ST )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ V0__Gamma @ V1__ST @ V3__t @ V4__T )
                             => ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ V0__Gamma @ V2__ST_27 @ V3__t @ V4__T ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3364]) ).

thf(3420,plain,
    ( ( ! [V0__ST: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V0__ST )
         => ! [V1__t: $i] :
              ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V1__t )
             => ! [V2__t_27: $i] :
                  ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V2__t_27 )
                 => ! [V3__T: $i] :
                      ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V3__T )
                     => ! [V4__st: $i] :
                          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V4__st )
                         => ! [V5__st_27: $i] :
                              ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V5__st_27 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V0__ST @ V1__t @ V3__T )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V0__ST @ V4__st )
                                 => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V1__t @ V4__st ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ V2__t_27 @ V5__st_27 ) )
                                   => ? [V9__ST_27: $i] :
                                        ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ V9__ST_27 )
                                        & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ V9__ST_27 @ V0__ST )
                                        & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ V9__ST_27 @ V2__t_27 @ V3__T )
                                        & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ V9__ST_27 @ V5__st_27 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3363]) ).

thf(3421,plain,
    ( ( ! [V_24Y: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ V_24Y )
        <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2ety ) ) )
    = $true ),
    inference(copy,[status(thm)],[3362]) ).

thf(3422,plain,
    ( ( ! [V_24Y: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ V_24Y )
        <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2estore ) ) )
    = $true ),
    inference(copy,[status(thm)],[3361]) ).

thf(3423,plain,
    ( ( ! [V_24Y: $i] :
          ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ V_24Y )
        <=> ( t @ V_24Y @ cPLF_2eReferences_2eSTLCRef_2etm ) ) )
    = $true ),
    inference(copy,[status(thm)],[3360]) ).

thf(3424,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ sK1_V0__ST )
    = $true ),
    inference(copy,[status(thm)],[3391]) ).

thf(3425,plain,
    ( ( ~ ! [SY87: $i] :
            ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY87 )
           => ! [SY88: $i] :
                ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY88 )
               => ! [SY89: $i] :
                    ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY89 )
                   => ! [SY90: $i] :
                        ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY90 )
                       => ! [SY91: $i] :
                            ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY91 )
                           => ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ SY87 @ SY89 )
                             => ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY90 )
                               => ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY87 @ SY90 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY88 @ SY91 ) )
                                 => ? [SY92: $i] :
                                      ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY92 )
                                      & ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY92 @ sK1_V0__ST )
                                      & ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY92 @ SY88 @ SY89 )
                                      & ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY92 @ SY91 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3393]) ).

thf(3426,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SX0 @ SX2 @ SX4 @ SX6 )
           != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SX1 @ SX3 @ SX5 @ SX7 ) )
          | ~ ( ~ ~ ( ~ ~ ( ( SX6 != SX7 )
                          | ( SX4 != SX5 ) )
                    | ( SX2 != SX3 ) )
              | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3396]) ).

thf(3427,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX0 @ SX1 @ SX2 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX0 @ SX3 )
                      | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SX1 )
                      | ~ ! [SX4: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX4 )
                                | ~ ~ ! [SX5: $i] :
                                        ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX5 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX4 @ SX5 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3418]) ).

thf(3428,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX0 )
                | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SX0 ) )
            | ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SX0 )
                | ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3395]) ).

thf(3429,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX4 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX2 @ SX1 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SX0 @ SX1 @ SX3 @ SX4 )
                          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SX0 @ SX2 @ SX3 @ SX4 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3419]) ).

thf(3430,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX3 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SX0 ) @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SX1 ) @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3412]) ).

thf(3431,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
                | ( t @ SX0 @ cPLF_2eReferences_2eSTLCRef_2etm ) )
            | ~ ( ~ ( t @ SX0 @ cPLF_2eReferences_2eSTLCRef_2etm )
                | ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3423]) ).

thf(3432,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                          | ! [SX5: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX5 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX0 @ SX1 @ SX3 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX0 @ SX4 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX4 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX2 @ SX5 ) )
                              | ~ ! [SX6: $i] :
                                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX6 )
                                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX6 @ SX0 ) )
                                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX6 @ SX2 @ SX3 ) )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX6 @ SX5 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3420]) ).

thf(3433,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX4 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SX0 @ SX2 ) @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SX1 @ SX2 ) @ SX4 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3407]) ).

thf(3434,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX3 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SX0 ) @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SX1 ) @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3408]) ).

thf(3435,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX3 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SX0 ) @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SX1 ) @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3413]) ).

thf(3436,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
                | ! [SX2: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX2 )
                    | ! [SX3: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                        | ! [SX4: $i] :
                            ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ SX0 @ SX2 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SX3 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX4 ) )
                            | ~ ! [SX5: $i] :
                                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX5 )
                                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX5 @ sK1_V0__ST ) )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX5 @ SX1 @ SX2 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX5 @ SX4 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3425]) ).

thf(3437,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX3 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SX0 ) @ SX2 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SX1 ) @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3411]) ).

thf(3438,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX0 )
                | ( t @ SX0 @ cPLF_2eReferences_2eSTLCRef_2estore ) )
            | ~ ( ~ ( t @ SX0 @ cPLF_2eReferences_2eSTLCRef_2estore )
                | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3422]) ).

thf(3439,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX0 )
                | ( t @ SX0 @ cPLF_2eReferences_2eSTLCRef_2ety ) )
            | ~ ( ~ ( t @ SX0 @ cPLF_2eReferences_2eSTLCRef_2ety )
                | ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3421]) ).

thf(3440,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX2 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX1 @ SX2 )
                  | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SX0 @ SX1 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3414]) ).

thf(3441,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX2 @ SX4 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SX0 @ SX1 ) @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SX2 @ SX1 ) @ SX4 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3410]) ).

thf(3442,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                          | ! [SX5: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX5 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX0 @ SX1 @ SX3 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX0 @ SX4 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX4 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX2 @ SX5 ) )
                              | ~ ! [SX6: $i] :
                                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX6 )
                                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX6 @ SX0 ) )
                                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX6 @ SX2 @ SX3 ) )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX6 @ SX5 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3417]) ).

thf(3443,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX0 )
          | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX0 @ ( cCoq_2eInit_2eDatatypes_2enil___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3415]) ).

thf(3444,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX4 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SX0 @ SX2 ) @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SX1 @ SX2 ) @ SX4 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3406]) ).

thf(3445,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                          | ! [SX5: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX5 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX4 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX5 ) )
                              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SX0 @ SX2 @ SX3 ) @ SX4 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SX1 @ SX2 @ SX3 ) @ SX5 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3409]) ).

thf(3446,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX0 )
          | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX0 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3416]) ).

thf(3447,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX0 )
                | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SX0 ) )
            | ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SX0 )
                | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3394]) ).

thf(3448,plain,
    ! [SV1: $i] :
      ( ( ! [SY93: $i,SY94: $i,SY95: $i,SY96: $i,SY97: $i,SY98: $i,SY99: $i] :
            ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SY94 @ SY96 @ SY98 )
             != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SY93 @ SY95 @ SY97 @ SY99 ) )
            | ~ ( ~ ~ ( ~ ~ ( ( SY98 != SY99 )
                            | ( SY96 != SY97 ) )
                      | ( SY94 != SY95 ) )
                | ( SV1 != SY93 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3426]) ).

thf(3449,plain,
    ! [SV2: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        | ! [SY100: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY100 )
            | ! [SY101: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY101 )
                | ! [SY102: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY102 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SY100 @ SY101 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY102 )
                    | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SY100 )
                    | ~ ! [SX4: $i] :
                          ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX4 )
                              | ~ ~ ! [SX5: $i] :
                                      ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX5 )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY100 @ SY102 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX4 @ SX5 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3427]) ).

thf(3450,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 )
                | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 ) )
            | ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 )
                | ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3428]) ).

thf(3451,plain,
    ! [SV4: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        | ! [SY105: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY105 )
            | ! [SY106: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY106 )
                | ! [SY107: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY107 )
                    | ! [SY108: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY108 )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY106 @ SY105 )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY105 @ SY107 @ SY108 )
                        | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY106 @ SY107 @ SY108 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3429]) ).

thf(3452,plain,
    ! [SV5: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        | ! [SY109: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY109 )
            | ! [SY110: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY110 )
                | ! [SY111: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY111 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SY110 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY109 @ SY111 ) )
                    | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SY110 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SY109 ) @ SY111 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3430]) ).

thf(3453,plain,
    ! [SV6: $i] :
      ( ( ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 )
                | ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm ) )
            | ~ ( ~ ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm )
                | ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3431]) ).

thf(3454,plain,
    ! [SV7: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        | ! [SY112: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY112 )
            | ! [SY113: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY113 )
                | ! [SY114: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY114 )
                    | ! [SY115: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY115 )
                        | ! [SY116: $i] :
                            ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY116 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SY112 @ SY114 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY115 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY112 @ SY115 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY113 @ SY116 ) )
                            | ~ ! [SY117: $i] :
                                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY117 )
                                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY117 @ SV7 ) )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY117 @ SY113 @ SY114 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY117 @ SY116 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3432]) ).

thf(3455,plain,
    ! [SV8: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        | ! [SY118: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY118 )
            | ! [SY119: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY119 )
                | ! [SY120: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY120 )
                    | ! [SY121: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY121 )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY120 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY118 @ SY121 ) )
                        | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SY119 ) @ SY120 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SY118 @ SY119 ) @ SY121 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3433]) ).

thf(3456,plain,
    ! [SV9: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        | ! [SY122: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY122 )
            | ! [SY123: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY123 )
                | ! [SY124: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY124 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SY123 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY122 @ SY124 ) )
                    | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SY123 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SY122 ) @ SY124 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3434]) ).

thf(3457,plain,
    ! [SV10: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        | ! [SY125: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY125 )
            | ! [SY126: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY126 )
                | ! [SY127: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY127 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SY126 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY125 @ SY127 ) )
                    | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SY126 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SY125 ) @ SY127 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3435]) ).

thf(3458,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX1 )
              | ! [SX2: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SX2 )
                  | ! [SX3: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX3 )
                      | ! [SX4: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX4 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ SX0 @ SX2 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SX3 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX0 @ SX3 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX1 @ SX4 ) )
                          | ~ ! [SX5: $i] :
                                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX5 )
                                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX5 @ sK1_V0__ST ) )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX5 @ SX1 @ SX2 ) )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX5 @ SX4 ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[3436]) ).

thf(3459,plain,
    ! [SV11: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        | ! [SY128: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY128 )
            | ! [SY129: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY129 )
                | ! [SY130: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY130 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SY129 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY128 @ SY130 ) )
                    | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SY129 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SY128 ) @ SY130 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3437]) ).

thf(3460,plain,
    ! [SV12: $i] :
      ( ( ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 )
                | ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore ) )
            | ~ ( ~ ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore )
                | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3438]) ).

thf(3461,plain,
    ! [SV13: $i] :
      ( ( ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 )
                | ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety ) )
            | ~ ( ~ ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety )
                | ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3439]) ).

thf(3462,plain,
    ! [SV14: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        | ! [SY131: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY131 )
            | ! [SY132: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY132 )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY131 @ SY132 )
                | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY131 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY132 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3440]) ).

thf(3463,plain,
    ! [SV15: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        | ! [SY133: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY133 )
            | ! [SY134: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY134 )
                | ! [SY135: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY135 )
                    | ! [SY136: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY136 )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY135 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY134 @ SY136 ) )
                        | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SY133 ) @ SY135 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SY134 @ SY133 ) @ SY136 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3441]) ).

thf(3464,plain,
    ! [SV16: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        | ! [SY137: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY137 )
            | ! [SY138: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY138 )
                | ! [SY139: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY139 )
                    | ! [SY140: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY140 )
                        | ! [SY141: $i] :
                            ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY141 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SY137 @ SY139 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY140 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY137 @ SY140 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY138 @ SY141 ) )
                            | ~ ! [SY142: $i] :
                                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY142 )
                                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY142 @ SV16 ) )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY142 @ SY138 @ SY139 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY142 @ SY141 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3442]) ).

thf(3465,plain,
    ! [SV17: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV17 )
        | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV17 @ ( cCoq_2eInit_2eDatatypes_2enil___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3443]) ).

thf(3466,plain,
    ! [SV18: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        | ! [SY143: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY143 )
            | ! [SY144: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY144 )
                | ! [SY145: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY145 )
                    | ! [SY146: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY146 )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY145 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY143 @ SY146 ) )
                        | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SY144 ) @ SY145 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SY143 @ SY144 ) @ SY146 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3444]) ).

thf(3467,plain,
    ! [SV19: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        | ! [SY147: $i] :
            ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY147 )
            | ! [SY148: $i] :
                ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY148 )
                | ! [SY149: $i] :
                    ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY149 )
                    | ! [SY150: $i] :
                        ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY150 )
                        | ! [SY151: $i] :
                            ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY151 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY150 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY147 @ SY151 ) )
                            | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SY148 @ SY149 ) @ SY150 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SY147 @ SY148 @ SY149 ) @ SY151 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3445]) ).

thf(3468,plain,
    ! [SV20: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV20 )
        | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV20 @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3446]) ).

thf(3469,plain,
    ! [SV21: $i] :
      ( ( ~ ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 )
                | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 ) )
            | ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 )
                | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3447]) ).

thf(3470,plain,
    ! [SV22: $i,SV1: $i] :
      ( ( ! [SY152: $i,SY153: $i,SY154: $i,SY155: $i,SY156: $i,SY157: $i] :
            ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SY152 @ SY154 @ SY156 )
             != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SY153 @ SY155 @ SY157 ) )
            | ~ ( ~ ~ ( ~ ~ ( ( SY156 != SY157 )
                            | ( SY154 != SY155 ) )
                      | ( SY152 != SY153 ) )
                | ( SV1 != SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3448]) ).

thf(3471,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 ) )
        = $true )
      | ( ( ! [SY100: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY100 )
              | ! [SY101: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY101 )
                  | ! [SY102: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY102 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SY100 @ SY101 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY102 )
                      | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SY100 )
                      | ~ ! [SX4: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX4 )
                                | ~ ~ ! [SX5: $i] :
                                        ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX5 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY100 @ SY102 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX4 @ SX5 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3449]) ).

thf(3472,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 )
            | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 ) )
        | ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 )
            | ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3450]) ).

thf(3473,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 ) )
        = $true )
      | ( ( ! [SY105: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY105 )
              | ! [SY106: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY106 )
                  | ! [SY107: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY107 )
                      | ! [SY108: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY108 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY106 @ SY105 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY105 @ SY107 @ SY108 )
                          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY106 @ SY107 @ SY108 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3451]) ).

thf(3474,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 ) )
        = $true )
      | ( ( ! [SY109: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY109 )
              | ! [SY110: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY110 )
                  | ! [SY111: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY111 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SY110 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY109 @ SY111 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SY110 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SY109 ) @ SY111 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3452]) ).

thf(3475,plain,
    ! [SV6: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 )
            | ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm ) )
        | ~ ( ~ ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm )
            | ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3453]) ).

thf(3476,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 ) )
        = $true )
      | ( ( ! [SY112: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY112 )
              | ! [SY113: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY113 )
                  | ! [SY114: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY114 )
                      | ! [SY115: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY115 )
                          | ! [SY116: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY116 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SY112 @ SY114 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY115 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY112 @ SY115 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY113 @ SY116 ) )
                              | ~ ! [SY117: $i] :
                                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY117 )
                                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY117 @ SV7 ) )
                                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY117 @ SY113 @ SY114 ) )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY117 @ SY116 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3454]) ).

thf(3477,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 ) )
        = $true )
      | ( ( ! [SY118: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY118 )
              | ! [SY119: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY119 )
                  | ! [SY120: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY120 )
                      | ! [SY121: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY121 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY120 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY118 @ SY121 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SY119 ) @ SY120 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SY118 @ SY119 ) @ SY121 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3455]) ).

thf(3478,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 ) )
        = $true )
      | ( ( ! [SY122: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY122 )
              | ! [SY123: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY123 )
                  | ! [SY124: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY124 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SY123 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY122 @ SY124 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SY123 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SY122 ) @ SY124 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3456]) ).

thf(3479,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 ) )
        = $true )
      | ( ( ! [SY125: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY125 )
              | ! [SY126: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY126 )
                  | ! [SY127: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY127 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SY126 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY125 @ SY127 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SY126 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SY125 ) @ SY127 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3457]) ).

thf(3480,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ sK2_SX0 )
      | ! [SY158: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY158 )
          | ! [SY159: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY159 )
              | ! [SY160: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY160 )
                  | ! [SY161: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY161 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ SY159 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY160 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ SY160 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY158 @ SY161 ) )
                      | ~ ! [SX5: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX5 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX5 @ sK1_V0__ST ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX5 @ SY158 @ SY159 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX5 @ SY161 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3458]) ).

thf(3481,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 ) )
        = $true )
      | ( ( ! [SY128: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY128 )
              | ! [SY129: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY129 )
                  | ! [SY130: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY130 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SY129 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY128 @ SY130 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SY129 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SY128 ) @ SY130 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3459]) ).

thf(3482,plain,
    ! [SV12: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 )
            | ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore ) )
        | ~ ( ~ ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore )
            | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3460]) ).

thf(3483,plain,
    ! [SV13: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 )
            | ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety ) )
        | ~ ( ~ ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety )
            | ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3461]) ).

thf(3484,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 ) )
        = $true )
      | ( ( ! [SY131: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY131 )
              | ! [SY132: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY132 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY131 @ SY132 )
                  | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY131 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY132 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3462]) ).

thf(3485,plain,
    ! [SV15: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 ) )
        = $true )
      | ( ( ! [SY133: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY133 )
              | ! [SY134: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY134 )
                  | ! [SY135: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY135 )
                      | ! [SY136: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY136 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY135 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY134 @ SY136 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SY133 ) @ SY135 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SY134 @ SY133 ) @ SY136 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3463]) ).

thf(3486,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 ) )
        = $true )
      | ( ( ! [SY137: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY137 )
              | ! [SY138: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY138 )
                  | ! [SY139: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY139 )
                      | ! [SY140: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY140 )
                          | ! [SY141: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY141 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SY137 @ SY139 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY140 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY137 @ SY140 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY138 @ SY141 ) )
                              | ~ ! [SY142: $i] :
                                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY142 )
                                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY142 @ SV16 ) )
                                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY142 @ SY138 @ SY139 ) )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY142 @ SY141 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3464]) ).

thf(3487,plain,
    ! [SV17: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV17 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV17 @ ( cCoq_2eInit_2eDatatypes_2enil___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3465]) ).

thf(3488,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 ) )
        = $true )
      | ( ( ! [SY143: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY143 )
              | ! [SY144: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY144 )
                  | ! [SY145: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY145 )
                      | ! [SY146: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY146 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY145 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY143 @ SY146 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SY144 ) @ SY145 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SY143 @ SY144 ) @ SY146 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3466]) ).

thf(3489,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 ) )
        = $true )
      | ( ( ! [SY147: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY147 )
              | ! [SY148: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY148 )
                  | ! [SY149: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY149 )
                      | ! [SY150: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY150 )
                          | ! [SY151: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY151 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY150 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY147 @ SY151 ) )
                              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SY148 @ SY149 ) @ SY150 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SY147 @ SY148 @ SY149 ) @ SY151 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3467]) ).

thf(3490,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV20 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV20 @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3468]) ).

thf(3491,plain,
    ! [SV21: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 )
            | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 ) )
        | ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 )
            | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3469]) ).

thf(3492,plain,
    ! [SV22: $i,SV23: $i,SV1: $i] :
      ( ( ! [SY163: $i,SY164: $i,SY165: $i,SY166: $i,SY167: $i] :
            ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SY164 @ SY166 )
             != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SY163 @ SY165 @ SY167 ) )
            | ~ ( ~ ~ ( ~ ~ ( ( SY166 != SY167 )
                            | ( SY164 != SY165 ) )
                      | ( SV23 != SY163 ) )
                | ( SV1 != SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3470]) ).

thf(3493,plain,
    ! [SV2: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false )
      | ( ( ! [SY100: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY100 )
              | ! [SY101: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY101 )
                  | ! [SY102: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY102 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SY100 @ SY101 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY102 )
                      | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SY100 )
                      | ~ ! [SX4: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SX4 )
                                | ~ ~ ! [SX5: $i] :
                                        ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SX5 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY100 @ SY102 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SX4 @ SX5 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3471]) ).

thf(3494,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 )
            | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3472]) ).

thf(3495,plain,
    ! [SV3: $i] :
      ( ( ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 )
            | ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3472]) ).

thf(3496,plain,
    ! [SV4: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false )
      | ( ( ! [SY105: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY105 )
              | ! [SY106: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY106 )
                  | ! [SY107: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY107 )
                      | ! [SY108: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY108 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY106 @ SY105 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY105 @ SY107 @ SY108 )
                          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY106 @ SY107 @ SY108 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3473]) ).

thf(3497,plain,
    ! [SV5: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false )
      | ( ( ! [SY109: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY109 )
              | ! [SY110: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY110 )
                  | ! [SY111: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY111 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SY110 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY109 @ SY111 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SY110 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SY109 ) @ SY111 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3474]) ).

thf(3498,plain,
    ! [SV6: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 )
            | ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3475]) ).

thf(3499,plain,
    ! [SV6: $i] :
      ( ( ~ ( ~ ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm )
            | ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3475]) ).

thf(3500,plain,
    ! [SV7: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false )
      | ( ( ! [SY112: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY112 )
              | ! [SY113: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY113 )
                  | ! [SY114: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY114 )
                      | ! [SY115: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY115 )
                          | ! [SY116: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY116 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SY112 @ SY114 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY115 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY112 @ SY115 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY113 @ SY116 ) )
                              | ~ ! [SY117: $i] :
                                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY117 )
                                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY117 @ SV7 ) )
                                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY117 @ SY113 @ SY114 ) )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY117 @ SY116 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3476]) ).

thf(3501,plain,
    ! [SV8: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false )
      | ( ( ! [SY118: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY118 )
              | ! [SY119: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY119 )
                  | ! [SY120: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY120 )
                      | ! [SY121: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY121 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY120 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY118 @ SY121 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SY119 ) @ SY120 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SY118 @ SY119 ) @ SY121 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3477]) ).

thf(3502,plain,
    ! [SV9: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false )
      | ( ( ! [SY122: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY122 )
              | ! [SY123: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY123 )
                  | ! [SY124: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY124 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SY123 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY122 @ SY124 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SY123 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SY122 ) @ SY124 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3478]) ).

thf(3503,plain,
    ! [SV10: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false )
      | ( ( ! [SY125: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY125 )
              | ! [SY126: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY126 )
                  | ! [SY127: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY127 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SY126 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY125 @ SY127 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SY126 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SY125 ) @ SY127 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3479]) ).

thf(3504,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ sK2_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3480]) ).

thf(3505,plain,
    ( ( ! [SY158: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY158 )
          | ! [SY159: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY159 )
              | ! [SY160: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY160 )
                  | ! [SY161: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY161 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ SY159 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY160 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ SY160 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY158 @ SY161 ) )
                      | ~ ! [SX5: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SX5 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SX5 @ sK1_V0__ST ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SX5 @ SY158 @ SY159 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SX5 @ SY161 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3480]) ).

thf(3506,plain,
    ! [SV11: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false )
      | ( ( ! [SY128: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY128 )
              | ! [SY129: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY129 )
                  | ! [SY130: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY130 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SY129 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY128 @ SY130 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SY129 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SY128 ) @ SY130 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3481]) ).

thf(3507,plain,
    ! [SV12: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 )
            | ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3482]) ).

thf(3508,plain,
    ! [SV12: $i] :
      ( ( ~ ( ~ ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore )
            | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3482]) ).

thf(3509,plain,
    ! [SV13: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 )
            | ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3483]) ).

thf(3510,plain,
    ! [SV13: $i] :
      ( ( ~ ( ~ ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety )
            | ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3483]) ).

thf(3511,plain,
    ! [SV14: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false )
      | ( ( ! [SY131: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY131 )
              | ! [SY132: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY132 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY131 @ SY132 )
                  | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY131 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY132 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3484]) ).

thf(3512,plain,
    ! [SV15: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false )
      | ( ( ! [SY133: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY133 )
              | ! [SY134: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY134 )
                  | ! [SY135: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY135 )
                      | ! [SY136: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY136 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY135 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY134 @ SY136 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SY133 ) @ SY135 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SY134 @ SY133 ) @ SY136 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3485]) ).

thf(3513,plain,
    ! [SV16: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false )
      | ( ( ! [SY137: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY137 )
              | ! [SY138: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY138 )
                  | ! [SY139: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY139 )
                      | ! [SY140: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY140 )
                          | ! [SY141: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY141 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SY137 @ SY139 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY140 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY137 @ SY140 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY138 @ SY141 ) )
                              | ~ ! [SY142: $i] :
                                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY142 )
                                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY142 @ SV16 ) )
                                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY142 @ SY138 @ SY139 ) )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY142 @ SY141 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3486]) ).

thf(3514,plain,
    ! [SV17: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV17 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV17 @ ( cCoq_2eInit_2eDatatypes_2enil___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3487]) ).

thf(3515,plain,
    ! [SV18: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false )
      | ( ( ! [SY143: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY143 )
              | ! [SY144: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY144 )
                  | ! [SY145: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY145 )
                      | ! [SY146: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY146 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY145 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY143 @ SY146 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SY144 ) @ SY145 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SY143 @ SY144 ) @ SY146 ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3488]) ).

thf(3516,plain,
    ! [SV19: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false )
      | ( ( ! [SY147: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY147 )
              | ! [SY148: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY148 )
                  | ! [SY149: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY149 )
                      | ! [SY150: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY150 )
                          | ! [SY151: $i] :
                              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY151 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY150 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY147 @ SY151 ) )
                              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SY148 @ SY149 ) @ SY150 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SY147 @ SY148 @ SY149 ) @ SY151 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3489]) ).

thf(3517,plain,
    ! [SV20: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV20 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV20 @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3490]) ).

thf(3518,plain,
    ! [SV21: $i] :
      ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 )
            | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3491]) ).

thf(3519,plain,
    ! [SV21: $i] :
      ( ( ~ ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 )
            | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3491]) ).

thf(3520,plain,
    ! [SV24: $i,SV22: $i,SV23: $i,SV1: $i] :
      ( ( ! [SY168: $i,SY169: $i,SY170: $i,SY171: $i] :
            ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SY168 @ SY170 )
             != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SY169 @ SY171 ) )
            | ~ ( ~ ~ ( ~ ~ ( ( SY170 != SY171 )
                            | ( SY168 != SY169 ) )
                      | ( SV23 != SV24 ) )
                | ( SV1 != SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3492]) ).

thf(3521,plain,
    ! [SV2: $i,SV25: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
          | ! [SY172: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY172 )
              | ! [SY173: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY173 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SY172 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY173 )
                  | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
                  | ~ ! [SY174: $i] :
                        ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY174 )
                            | ~ ~ ! [SY175: $i] :
                                    ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY175 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SY173 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY174 @ SY175 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3493]) ).

thf(3522,plain,
    ! [SV3: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 )
        | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3494]) ).

thf(3523,plain,
    ! [SV3: $i] :
      ( ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 )
        | ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3495]) ).

thf(3524,plain,
    ! [SV4: $i,SV26: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
          | ! [SY176: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY176 )
              | ! [SY177: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY177 )
                  | ! [SY178: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY178 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY176 @ SV26 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SY177 @ SY178 )
                      | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY176 @ SY177 @ SY178 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3496]) ).

thf(3525,plain,
    ! [SV5: $i,SV27: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
          | ! [SY179: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY179 )
              | ! [SY180: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY180 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SY179 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SY180 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SY179 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SY180 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3497]) ).

thf(3526,plain,
    ! [SV6: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 )
        | ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3498]) ).

thf(3527,plain,
    ! [SV6: $i] :
      ( ( ~ ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm )
        | ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3499]) ).

thf(3528,plain,
    ! [SV7: $i,SV28: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
          | ! [SY181: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY181 )
              | ! [SY182: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY182 )
                  | ! [SY183: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY183 )
                      | ! [SY184: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY184 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SY182 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY183 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY183 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY181 @ SY184 ) )
                          | ~ ! [SY117: $i] :
                                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY117 )
                                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY117 @ SV7 ) )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY117 @ SY181 @ SY182 ) )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY117 @ SY184 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3500]) ).

thf(3529,plain,
    ! [SV8: $i,SV29: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
          | ! [SY186: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY186 )
              | ! [SY187: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY187 )
                  | ! [SY188: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY188 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY187 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY188 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SY186 ) @ SY187 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SY186 ) @ SY188 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3501]) ).

thf(3530,plain,
    ! [SV9: $i,SV30: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
          | ! [SY189: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY189 )
              | ! [SY190: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY190 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SY189 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SY190 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SY189 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SY190 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3502]) ).

thf(3531,plain,
    ! [SV10: $i,SV31: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
          | ! [SY191: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY191 )
              | ! [SY192: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY192 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SY191 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SY192 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SY191 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SY192 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3503]) ).

thf(3532,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ sK2_SX0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3504]) ).

thf(3533,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ sK3_SY158 )
      | ! [SY193: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY193 )
          | ! [SY194: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY194 )
              | ! [SY195: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY195 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ SY193 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY194 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ SY194 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ SY195 ) )
                  | ~ ! [SY196: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY196 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY196 @ sK1_V0__ST ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY196 @ sK3_SY158 @ SY193 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY196 @ SY195 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3505]) ).

thf(3534,plain,
    ! [SV11: $i,SV32: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
          | ! [SY197: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY197 )
              | ! [SY198: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY198 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SY197 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SY198 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SY197 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SY198 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3506]) ).

thf(3535,plain,
    ! [SV12: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 )
        | ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3507]) ).

thf(3536,plain,
    ! [SV12: $i] :
      ( ( ~ ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore )
        | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3508]) ).

thf(3537,plain,
    ! [SV13: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 )
        | ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3509]) ).

thf(3538,plain,
    ! [SV13: $i] :
      ( ( ~ ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety )
        | ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3510]) ).

thf(3539,plain,
    ! [SV14: $i,SV33: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 )
          | ! [SY199: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY199 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SY199 )
              | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY199 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3511]) ).

thf(3540,plain,
    ! [SV15: $i,SV34: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
          | ! [SY200: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY200 )
              | ! [SY201: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY201 )
                  | ! [SY202: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY202 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY201 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY200 @ SY202 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SY201 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SY200 @ SV34 ) @ SY202 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3512]) ).

thf(3541,plain,
    ! [SV16: $i,SV35: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
          | ! [SY203: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY203 )
              | ! [SY204: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY204 )
                  | ! [SY205: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY205 )
                      | ! [SY206: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY206 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SY204 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY205 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY205 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY203 @ SY206 ) )
                          | ~ ! [SY142: $i] :
                                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY142 )
                                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY142 @ SV16 ) )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY142 @ SY203 @ SY204 ) )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY142 @ SY206 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3513]) ).

thf(3542,plain,
    ! [SV18: $i,SV36: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
          | ! [SY208: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY208 )
              | ! [SY209: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY209 )
                  | ! [SY210: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY210 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY209 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY210 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SY208 ) @ SY209 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SY208 ) @ SY210 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3515]) ).

thf(3543,plain,
    ! [SV19: $i,SV37: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
          | ! [SY211: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY211 )
              | ! [SY212: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY212 )
                  | ! [SY213: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY213 )
                      | ! [SY214: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY214 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY213 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY214 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SY211 @ SY212 ) @ SY213 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SY211 @ SY212 ) @ SY214 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3516]) ).

thf(3544,plain,
    ! [SV21: $i] :
      ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 )
        | ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3518]) ).

thf(3545,plain,
    ! [SV21: $i] :
      ( ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 )
        | ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3519]) ).

thf(3546,plain,
    ! [SV24: $i,SV22: $i,SV38: $i,SV23: $i,SV1: $i] :
      ( ( ! [SY215: $i,SY216: $i,SY217: $i] :
            ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SY216 )
             != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SY215 @ SY217 ) )
            | ~ ( ~ ~ ( ~ ~ ( ( SY216 != SY217 )
                            | ( SV38 != SY215 ) )
                      | ( SV23 != SV24 ) )
                | ( SV1 != SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3520]) ).

thf(3547,plain,
    ! [SV2: $i,SV25: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 ) )
        = $true )
      | ( ( ! [SY172: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY172 )
              | ! [SY173: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY173 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SY172 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY173 )
                  | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
                  | ~ ! [SY174: $i] :
                        ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY174 )
                            | ~ ~ ! [SY175: $i] :
                                    ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY175 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SY173 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY174 @ SY175 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3521]) ).

thf(3548,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 ) )
        = $true )
      | ( ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3522]) ).

thf(3549,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3523]) ).

thf(3550,plain,
    ! [SV4: $i,SV26: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 ) )
        = $true )
      | ( ( ! [SY176: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY176 )
              | ! [SY177: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY177 )
                  | ! [SY178: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY178 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY176 @ SV26 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SY177 @ SY178 )
                      | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY176 @ SY177 @ SY178 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3524]) ).

thf(3551,plain,
    ! [SV5: $i,SV27: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 ) )
        = $true )
      | ( ( ! [SY179: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY179 )
              | ! [SY180: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY180 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SY179 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SY180 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SY179 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SY180 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3525]) ).

thf(3552,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 ) )
        = $true )
      | ( ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3526]) ).

thf(3553,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3527]) ).

thf(3554,plain,
    ! [SV7: $i,SV28: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 ) )
        = $true )
      | ( ( ! [SY181: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY181 )
              | ! [SY182: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY182 )
                  | ! [SY183: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY183 )
                      | ! [SY184: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY184 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SY182 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY183 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY183 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY181 @ SY184 ) )
                          | ~ ! [SY117: $i] :
                                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY117 )
                                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY117 @ SV7 ) )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY117 @ SY181 @ SY182 ) )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY117 @ SY184 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3528]) ).

thf(3555,plain,
    ! [SV8: $i,SV29: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 ) )
        = $true )
      | ( ( ! [SY186: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY186 )
              | ! [SY187: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY187 )
                  | ! [SY188: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY188 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY187 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY188 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SY186 ) @ SY187 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SY186 ) @ SY188 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3529]) ).

thf(3556,plain,
    ! [SV9: $i,SV30: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 ) )
        = $true )
      | ( ( ! [SY189: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY189 )
              | ! [SY190: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY190 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SY189 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SY190 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SY189 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SY190 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3530]) ).

thf(3557,plain,
    ! [SV10: $i,SV31: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 ) )
        = $true )
      | ( ( ! [SY191: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY191 )
              | ! [SY192: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY192 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SY191 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SY192 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SY191 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SY192 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3531]) ).

thf(3558,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ sK3_SY158 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3533]) ).

thf(3559,plain,
    ( ( ! [SY193: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY193 )
          | ! [SY194: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY194 )
              | ! [SY195: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY195 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ SY193 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY194 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ SY194 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ SY195 ) )
                  | ~ ! [SY196: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY196 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY196 @ sK1_V0__ST ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY196 @ sK3_SY158 @ SY193 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY196 @ SY195 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3533]) ).

thf(3560,plain,
    ! [SV11: $i,SV32: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 ) )
        = $true )
      | ( ( ! [SY197: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY197 )
              | ! [SY198: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY198 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SY197 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SY198 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SY197 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SY198 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3534]) ).

thf(3561,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 ) )
        = $true )
      | ( ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3535]) ).

thf(3562,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3536]) ).

thf(3563,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 ) )
        = $true )
      | ( ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3537]) ).

thf(3564,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3538]) ).

thf(3565,plain,
    ! [SV14: $i,SV33: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 ) )
        = $true )
      | ( ( ! [SY199: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY199 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SY199 )
              | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY199 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3539]) ).

thf(3566,plain,
    ! [SV15: $i,SV34: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 ) )
        = $true )
      | ( ( ! [SY200: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY200 )
              | ! [SY201: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY201 )
                  | ! [SY202: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY202 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY201 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY200 @ SY202 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SY201 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SY200 @ SV34 ) @ SY202 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3540]) ).

thf(3567,plain,
    ! [SV16: $i,SV35: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 ) )
        = $true )
      | ( ( ! [SY203: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY203 )
              | ! [SY204: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY204 )
                  | ! [SY205: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY205 )
                      | ! [SY206: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY206 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SY204 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY205 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY205 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY203 @ SY206 ) )
                          | ~ ! [SY142: $i] :
                                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY142 )
                                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY142 @ SV16 ) )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY142 @ SY203 @ SY204 ) )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY142 @ SY206 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3541]) ).

thf(3568,plain,
    ! [SV18: $i,SV36: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 ) )
        = $true )
      | ( ( ! [SY208: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY208 )
              | ! [SY209: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY209 )
                  | ! [SY210: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY210 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY209 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY210 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SY208 ) @ SY209 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SY208 ) @ SY210 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3542]) ).

thf(3569,plain,
    ! [SV19: $i,SV37: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 ) )
        = $true )
      | ( ( ! [SY211: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY211 )
              | ! [SY212: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY212 )
                  | ! [SY213: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY213 )
                      | ! [SY214: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY214 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY213 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY214 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SY211 @ SY212 ) @ SY213 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SY211 @ SY212 ) @ SY214 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3543]) ).

thf(3570,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 ) )
        = $true )
      | ( ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3544]) ).

thf(3571,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3545]) ).

thf(3572,plain,
    ! [SV39: $i,SV24: $i,SV22: $i,SV38: $i,SV23: $i,SV1: $i] :
      ( ( ! [SY218: $i,SY219: $i] :
            ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SY218 )
             != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SY219 ) )
            | ~ ( ~ ~ ( ~ ~ ( ( SY218 != SY219 )
                            | ( SV38 != SV39 ) )
                      | ( SV23 != SV24 ) )
                | ( SV1 != SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3546]) ).

thf(3573,plain,
    ! [SV2: $i,SV25: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( ! [SY172: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY172 )
              | ! [SY173: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY173 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SY172 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY173 )
                  | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
                  | ~ ! [SY174: $i] :
                        ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY174 )
                            | ~ ~ ! [SY175: $i] :
                                    ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY175 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SY173 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY174 @ SY175 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3547]) ).

thf(3574,plain,
    ! [SV3: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 )
        = $false )
      | ( ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3548]) ).

thf(3575,plain,
    ! [SV3: $i] :
      ( ( ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2ety @ SV3 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3549]) ).

thf(3576,plain,
    ! [SV4: $i,SV26: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( ! [SY176: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY176 )
              | ! [SY177: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY177 )
                  | ! [SY178: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY178 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY176 @ SV26 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SY177 @ SY178 )
                      | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SY176 @ SY177 @ SY178 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3550]) ).

thf(3577,plain,
    ! [SV5: $i,SV27: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( ! [SY179: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY179 )
              | ! [SY180: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY180 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SY179 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SY180 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SY179 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SY180 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3551]) ).

thf(3578,plain,
    ! [SV6: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 )
        = $false )
      | ( ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3552]) ).

thf(3579,plain,
    ! [SV6: $i] :
      ( ( ( t @ SV6 @ cPLF_2eReferences_2eSTLCRef_2etm )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3553]) ).

thf(3580,plain,
    ! [SV7: $i,SV28: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( ! [SY181: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY181 )
              | ! [SY182: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY182 )
                  | ! [SY183: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY183 )
                      | ! [SY184: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY184 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SY182 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY183 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY183 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY181 @ SY184 ) )
                          | ~ ! [SY117: $i] :
                                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY117 )
                                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY117 @ SV7 ) )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY117 @ SY181 @ SY182 ) )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY117 @ SY184 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3554]) ).

thf(3581,plain,
    ! [SV8: $i,SV29: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( ! [SY186: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY186 )
              | ! [SY187: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY187 )
                  | ! [SY188: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY188 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY187 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY188 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SY186 ) @ SY187 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SY186 ) @ SY188 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3555]) ).

thf(3582,plain,
    ! [SV9: $i,SV30: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( ! [SY189: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY189 )
              | ! [SY190: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY190 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SY189 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SY190 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SY189 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SY190 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3556]) ).

thf(3583,plain,
    ! [SV10: $i,SV31: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( ! [SY191: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY191 )
              | ! [SY192: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY192 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SY191 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SY192 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SY191 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SY192 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3557]) ).

thf(3584,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ sK3_SY158 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3558]) ).

thf(3585,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ sK4_SY193 )
      | ! [SY220: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY220 )
          | ! [SY221: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY221 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY220 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ SY221 ) )
              | ~ ! [SY222: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY222 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY222 @ sK1_V0__ST ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY222 @ sK3_SY158 @ sK4_SY193 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY222 @ SY221 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3559]) ).

thf(3586,plain,
    ! [SV11: $i,SV32: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( ! [SY197: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY197 )
              | ! [SY198: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY198 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SY197 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SY198 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SY197 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SY198 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3560]) ).

thf(3587,plain,
    ! [SV12: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 )
        = $false )
      | ( ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3561]) ).

thf(3588,plain,
    ! [SV12: $i] :
      ( ( ( t @ SV12 @ cPLF_2eReferences_2eSTLCRef_2estore )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3562]) ).

thf(3589,plain,
    ! [SV13: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 )
        = $false )
      | ( ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3563]) ).

thf(3590,plain,
    ! [SV13: $i] :
      ( ( ( t @ SV13 @ cPLF_2eReferences_2eSTLCRef_2ety )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3564]) ).

thf(3591,plain,
    ! [SV14: $i,SV33: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 )
        = $false )
      | ( ( ! [SY199: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY199 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SY199 )
              | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SY199 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3565]) ).

thf(3592,plain,
    ! [SV15: $i,SV34: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( ! [SY200: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY200 )
              | ! [SY201: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY201 )
                  | ! [SY202: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY202 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY201 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY200 @ SY202 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SY201 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SY200 @ SV34 ) @ SY202 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3566]) ).

thf(3593,plain,
    ! [SV16: $i,SV35: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( ! [SY203: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY203 )
              | ! [SY204: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY204 )
                  | ! [SY205: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY205 )
                      | ! [SY206: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY206 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SY204 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY205 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY205 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY203 @ SY206 ) )
                          | ~ ! [SY142: $i] :
                                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY142 )
                                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY142 @ SV16 ) )
                                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY142 @ SY203 @ SY204 ) )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY142 @ SY206 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3567]) ).

thf(3594,plain,
    ! [SV18: $i,SV36: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( ! [SY208: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY208 )
              | ! [SY209: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY209 )
                  | ! [SY210: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY210 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY209 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY210 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SY208 ) @ SY209 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SY208 ) @ SY210 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3568]) ).

thf(3595,plain,
    ! [SV19: $i,SV37: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( ! [SY211: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY211 )
              | ! [SY212: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY212 )
                  | ! [SY213: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY213 )
                      | ! [SY214: $i] :
                          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY214 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY213 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY214 ) )
                          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SY211 @ SY212 ) @ SY213 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SY211 @ SY212 ) @ SY214 ) ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3569]) ).

thf(3596,plain,
    ! [SV21: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 )
        = $false )
      | ( ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3570]) ).

thf(3597,plain,
    ! [SV21: $i] :
      ( ( ( cCoq_2eInit_2eDatatypes_2elist___24t @ cPLF_2eReferences_2eSTLCRef_2etm @ SV21 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3571]) ).

thf(3598,plain,
    ! [SV39: $i,SV24: $i,SV22: $i,SV40: $i,SV38: $i,SV23: $i,SV1: $i] :
      ( ( ! [SY223: $i] :
            ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
             != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SY223 ) )
            | ~ ( ~ ~ ( ~ ~ ( ( SV40 != SY223 )
                            | ( SV38 != SV39 ) )
                      | ( SV23 != SV24 ) )
                | ( SV1 != SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3572]) ).

thf(3599,plain,
    ! [SV25: $i,SV2: $i,SV41: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
          | ! [SY224: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY224 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY224 )
              | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
              | ~ ! [SY174: $i] :
                    ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY174 )
                        | ~ ~ ! [SY175: $i] :
                                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY175 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SY224 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY174 @ SY175 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3573]) ).

thf(3600,plain,
    ! [SV4: $i,SV26: $i,SV42: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
          | ! [SY227: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY227 )
              | ! [SY228: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY228 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SY227 @ SY228 )
                  | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SY227 @ SY228 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3576]) ).

thf(3601,plain,
    ! [SV27: $i,SV5: $i,SV43: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 )
          | ! [SY229: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY229 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SY229 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SY229 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3577]) ).

thf(3602,plain,
    ! [SV28: $i,SV7: $i,SV44: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
          | ! [SY230: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY230 )
              | ! [SY231: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY231 )
                  | ! [SY232: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY232 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SY230 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY231 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY231 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY232 ) )
                      | ~ ! [SY233: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY233 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY233 @ SV7 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY233 @ SV44 @ SY230 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY233 @ SY232 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3580]) ).

thf(3603,plain,
    ! [SV29: $i,SV8: $i,SV45: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
          | ! [SY234: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY234 )
              | ! [SY235: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY235 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY234 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY235 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SY234 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SY235 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3581]) ).

thf(3604,plain,
    ! [SV30: $i,SV9: $i,SV46: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 )
          | ! [SY236: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY236 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SY236 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SY236 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3582]) ).

thf(3605,plain,
    ! [SV31: $i,SV10: $i,SV47: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 )
          | ! [SY237: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY237 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SY237 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SY237 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3583]) ).

thf(3606,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ sK4_SY193 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3585]) ).

thf(3607,plain,
    ( ( ! [SY220: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY220 )
          | ! [SY221: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY221 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ SY220 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ SY221 ) )
              | ~ ! [SY222: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY222 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY222 @ sK1_V0__ST ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY222 @ sK3_SY158 @ sK4_SY193 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY222 @ SY221 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3585]) ).

thf(3608,plain,
    ! [SV32: $i,SV11: $i,SV48: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 )
          | ! [SY238: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY238 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SY238 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SY238 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3586]) ).

thf(3609,plain,
    ! [SV14: $i,SV33: $i,SV49: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV49 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SV49 )
          | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV49 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3591]) ).

thf(3610,plain,
    ! [SV34: $i,SV15: $i,SV50: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
          | ! [SY239: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY239 )
              | ! [SY240: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY240 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY239 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SY240 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SY239 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SY240 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3592]) ).

thf(3611,plain,
    ! [SV35: $i,SV16: $i,SV51: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
          | ! [SY241: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY241 )
              | ! [SY242: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY242 )
                  | ! [SY243: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY243 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SY241 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY242 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY242 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY243 ) )
                      | ~ ! [SY244: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY244 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY244 @ SV16 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY244 @ SV51 @ SY241 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY244 @ SY243 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3593]) ).

thf(3612,plain,
    ! [SV36: $i,SV18: $i,SV52: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
          | ! [SY245: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY245 )
              | ! [SY246: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY246 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY245 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY246 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SY245 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SY246 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3594]) ).

thf(3613,plain,
    ! [SV37: $i,SV19: $i,SV53: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
          | ! [SY247: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY247 )
              | ! [SY248: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY248 )
                  | ! [SY249: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY249 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY248 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY249 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SY247 ) @ SY248 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SY247 ) @ SY249 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3595]) ).

thf(3614,plain,
    ! [SV54: $i,SV39: $i,SV24: $i,SV22: $i,SV40: $i,SV38: $i,SV23: $i,SV1: $i] :
      ( ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
         != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        | ~ ( ~ ~ ( ~ ~ ( ( SV40 != SV54 )
                        | ( SV38 != SV39 ) )
                  | ( SV23 != SV24 ) )
            | ( SV1 != SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3598]) ).

thf(3615,plain,
    ! [SV25: $i,SV2: $i,SV41: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 ) )
        = $true )
      | ( ( ! [SY224: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY224 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY224 )
              | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
              | ~ ! [SY174: $i] :
                    ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY174 )
                        | ~ ~ ! [SY175: $i] :
                                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY175 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SY224 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY174 @ SY175 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3599]) ).

thf(3616,plain,
    ! [SV4: $i,SV26: $i,SV42: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 ) )
        = $true )
      | ( ( ! [SY227: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY227 )
              | ! [SY228: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY228 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SY227 @ SY228 )
                  | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SY227 @ SY228 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3600]) ).

thf(3617,plain,
    ! [SV27: $i,SV5: $i,SV43: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 ) )
        = $true )
      | ( ( ! [SY229: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY229 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SY229 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SY229 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3601]) ).

thf(3618,plain,
    ! [SV28: $i,SV7: $i,SV44: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 ) )
        = $true )
      | ( ( ! [SY230: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY230 )
              | ! [SY231: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY231 )
                  | ! [SY232: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY232 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SY230 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY231 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY231 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY232 ) )
                      | ~ ! [SY233: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY233 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY233 @ SV7 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY233 @ SV44 @ SY230 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY233 @ SY232 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3602]) ).

thf(3619,plain,
    ! [SV29: $i,SV8: $i,SV45: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 ) )
        = $true )
      | ( ( ! [SY234: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY234 )
              | ! [SY235: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY235 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY234 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY235 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SY234 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SY235 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3603]) ).

thf(3620,plain,
    ! [SV30: $i,SV9: $i,SV46: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 ) )
        = $true )
      | ( ( ! [SY236: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY236 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SY236 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SY236 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3604]) ).

thf(3621,plain,
    ! [SV31: $i,SV10: $i,SV47: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 ) )
        = $true )
      | ( ( ! [SY237: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY237 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SY237 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SY237 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3605]) ).

thf(3622,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ sK4_SY193 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3606]) ).

thf(3623,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ sK5_SY220 )
      | ! [SY250: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY250 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ sK5_SY220 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ SY250 ) )
          | ~ ! [SY222: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY222 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY222 @ sK1_V0__ST ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY222 @ sK3_SY158 @ sK4_SY193 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY222 @ SY250 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3607]) ).

thf(3624,plain,
    ! [SV32: $i,SV11: $i,SV48: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 ) )
        = $true )
      | ( ( ! [SY238: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY238 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SY238 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SY238 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3608]) ).

thf(3625,plain,
    ! [SV14: $i,SV33: $i,SV49: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV49 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SV49 )
          | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV49 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3609]) ).

thf(3626,plain,
    ! [SV34: $i,SV15: $i,SV50: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 ) )
        = $true )
      | ( ( ! [SY239: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY239 )
              | ! [SY240: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY240 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY239 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SY240 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SY239 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SY240 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3610]) ).

thf(3627,plain,
    ! [SV35: $i,SV16: $i,SV51: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 ) )
        = $true )
      | ( ( ! [SY241: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY241 )
              | ! [SY242: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY242 )
                  | ! [SY243: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY243 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SY241 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY242 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY242 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY243 ) )
                      | ~ ! [SY244: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY244 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY244 @ SV16 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY244 @ SV51 @ SY241 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY244 @ SY243 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3611]) ).

thf(3628,plain,
    ! [SV36: $i,SV18: $i,SV52: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 ) )
        = $true )
      | ( ( ! [SY245: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY245 )
              | ! [SY246: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY246 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY245 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY246 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SY245 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SY246 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3612]) ).

thf(3629,plain,
    ! [SV37: $i,SV19: $i,SV53: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 ) )
        = $true )
      | ( ( ! [SY247: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY247 )
              | ! [SY248: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY248 )
                  | ! [SY249: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY249 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY248 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY249 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SY247 ) @ SY248 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SY247 ) @ SY249 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3613]) ).

thf(3630,plain,
    ! [SV54: $i,SV39: $i,SV24: $i,SV22: $i,SV40: $i,SV38: $i,SV23: $i,SV1: $i] :
      ( ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
         != ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ( SV40 != SV54 )
                          | ( SV38 != SV39 ) )
                    | ( SV23 != SV24 ) )
              | ( SV1 != SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3614]) ).

thf(3631,plain,
    ! [SV25: $i,SV2: $i,SV41: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( ! [SY224: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY224 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SY224 )
              | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
              | ~ ! [SY174: $i] :
                    ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY174 )
                        | ~ ~ ! [SY175: $i] :
                                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY175 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SY224 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY174 @ SY175 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3615]) ).

thf(3632,plain,
    ! [SV4: $i,SV26: $i,SV42: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( ! [SY227: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY227 )
              | ! [SY228: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY228 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SY227 @ SY228 )
                  | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SY227 @ SY228 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3616]) ).

thf(3633,plain,
    ! [SV27: $i,SV5: $i,SV43: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 )
        = $false )
      | ( ( ! [SY229: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY229 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SY229 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SY229 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3617]) ).

thf(3634,plain,
    ! [SV28: $i,SV7: $i,SV44: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( ! [SY230: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY230 )
              | ! [SY231: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY231 )
                  | ! [SY232: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY232 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SY230 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY231 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY231 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY232 ) )
                      | ~ ! [SY233: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY233 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY233 @ SV7 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY233 @ SV44 @ SY230 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY233 @ SY232 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3618]) ).

thf(3635,plain,
    ! [SV29: $i,SV8: $i,SV45: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( ! [SY234: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY234 )
              | ! [SY235: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY235 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SY234 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY235 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SY234 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SY235 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3619]) ).

thf(3636,plain,
    ! [SV30: $i,SV9: $i,SV46: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 )
        = $false )
      | ( ( ! [SY236: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY236 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SY236 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SY236 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3620]) ).

thf(3637,plain,
    ! [SV31: $i,SV10: $i,SV47: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 )
        = $false )
      | ( ( ! [SY237: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY237 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SY237 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SY237 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3621]) ).

thf(3638,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ sK5_SY220 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3623]) ).

thf(3639,plain,
    ( ( ! [SY250: $i] :
          ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY250 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ sK5_SY220 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ SY250 ) )
          | ~ ! [SY222: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY222 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY222 @ sK1_V0__ST ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY222 @ sK3_SY158 @ sK4_SY193 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY222 @ SY250 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3623]) ).

thf(3640,plain,
    ! [SV32: $i,SV11: $i,SV48: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 )
        = $false )
      | ( ( ! [SY238: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY238 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SY238 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SY238 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3624]) ).

thf(3641,plain,
    ! [SV14: $i,SV33: $i,SV49: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV49 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SV49 )
          | ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV49 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3625]) ).

thf(3642,plain,
    ! [SV34: $i,SV15: $i,SV50: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( ! [SY239: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY239 )
              | ! [SY240: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY240 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SY239 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SY240 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SY239 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SY240 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3626]) ).

thf(3643,plain,
    ! [SV35: $i,SV16: $i,SV51: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( ! [SY241: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY241 )
              | ! [SY242: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY242 )
                  | ! [SY243: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY243 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SY241 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY242 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY242 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY243 ) )
                      | ~ ! [SY244: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY244 )
                                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY244 @ SV16 ) )
                                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY244 @ SV51 @ SY241 ) )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY244 @ SY243 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3627]) ).

thf(3644,plain,
    ! [SV36: $i,SV18: $i,SV52: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( ! [SY245: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY245 )
              | ! [SY246: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY246 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SY245 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY246 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SY245 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SY246 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3628]) ).

thf(3645,plain,
    ! [SV37: $i,SV19: $i,SV53: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( ! [SY247: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY247 )
              | ! [SY248: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY248 )
                  | ! [SY249: $i] :
                      ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY249 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY248 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY249 ) )
                      | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SY247 ) @ SY248 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SY247 ) @ SY249 ) ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3629]) ).

thf(3646,plain,
    ! [SV54: $i,SV39: $i,SV24: $i,SV22: $i,SV40: $i,SV38: $i,SV23: $i,SV1: $i] :
      ( ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ( SV40 != SV54 )
                          | ( SV38 != SV39 ) )
                    | ( SV23 != SV24 ) )
              | ( SV1 != SV22 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3630]) ).

thf(3647,plain,
    ! [SV41: $i,SV25: $i,SV2: $i,SV55: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
          | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
          | ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3631]) ).

thf(3648,plain,
    ! [SV4: $i,SV26: $i,SV42: $i,SV56: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
          | ! [SY254: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY254 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SY254 )
              | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SY254 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3632]) ).

thf(3649,plain,
    ! [SV27: $i,SV43: $i,SV5: $i,SV57: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV57 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SV57 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SV57 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3633]) ).

thf(3650,plain,
    ! [SV44: $i,SV28: $i,SV7: $i,SV58: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
          | ! [SY255: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY255 )
              | ! [SY256: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY256 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY255 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY255 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY256 ) )
                  | ~ ! [SY257: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY257 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY257 @ SV7 ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY257 @ SV44 @ SV58 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY257 @ SY256 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3634]) ).

thf(3651,plain,
    ! [SV45: $i,SV29: $i,SV8: $i,SV59: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 )
          | ! [SY258: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY258 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY258 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SY258 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3635]) ).

thf(3652,plain,
    ! [SV30: $i,SV46: $i,SV9: $i,SV60: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV60 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SV60 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SV60 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3636]) ).

thf(3653,plain,
    ! [SV31: $i,SV47: $i,SV10: $i,SV61: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV61 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SV61 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SV61 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3637]) ).

thf(3654,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ sK5_SY220 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3638]) ).

thf(3655,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ sK6_SY250 )
      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 )
      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ sK5_SY220 )
      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ sK6_SY250 ) )
      | ~ ! [SY259: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY259 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY259 @ sK1_V0__ST ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY259 @ sK3_SY158 @ sK4_SY193 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY259 @ sK6_SY250 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3639]) ).

thf(3656,plain,
    ! [SV32: $i,SV48: $i,SV11: $i,SV62: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV62 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SV62 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SV62 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3640]) ).

thf(3657,plain,
    ! [SV14: $i,SV49: $i,SV33: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SV49 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV49 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV49 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3641]) ).

thf(3658,plain,
    ! [SV34: $i,SV50: $i,SV15: $i,SV63: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 )
          | ! [SY260: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY260 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SY260 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SY260 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3642]) ).

thf(3659,plain,
    ! [SV51: $i,SV35: $i,SV16: $i,SV64: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
          | ! [SY261: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY261 )
              | ! [SY262: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY262 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY261 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY261 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY262 ) )
                  | ~ ! [SY263: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY263 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY263 @ SV16 ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY263 @ SV51 @ SV64 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY263 @ SY262 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3643]) ).

thf(3660,plain,
    ! [SV52: $i,SV36: $i,SV18: $i,SV65: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 )
          | ! [SY264: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY264 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY264 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SY264 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3644]) ).

thf(3661,plain,
    ! [SV53: $i,SV37: $i,SV19: $i,SV66: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
          | ! [SY265: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY265 )
              | ! [SY266: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY266 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY265 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY266 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SY265 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SY266 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3645]) ).

thf(3662,plain,
    ! [SV22: $i,SV1: $i,SV24: $i,SV23: $i,SV39: $i,SV38: $i,SV54: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ( SV40 != SV54 )
                      | ( SV38 != SV39 ) )
                | ( SV23 != SV24 ) )
          | ( SV1 != SV22 ) )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3646]) ).

thf(3663,plain,
    ! [SV41: $i,SV25: $i,SV2: $i,SV55: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
          | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
          | ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3647]) ).

thf(3664,plain,
    ! [SV4: $i,SV26: $i,SV42: $i,SV56: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 ) )
        = $true )
      | ( ( ! [SY254: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY254 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SY254 )
              | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SY254 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3648]) ).

thf(3665,plain,
    ! [SV27: $i,SV43: $i,SV5: $i,SV57: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV57 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SV57 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SV57 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3649]) ).

thf(3666,plain,
    ! [SV44: $i,SV28: $i,SV7: $i,SV58: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 ) )
        = $true )
      | ( ( ! [SY255: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY255 )
              | ! [SY256: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY256 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY255 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY255 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY256 ) )
                  | ~ ! [SY257: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY257 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY257 @ SV7 ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY257 @ SV44 @ SV58 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY257 @ SY256 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3650]) ).

thf(3667,plain,
    ! [SV45: $i,SV29: $i,SV8: $i,SV59: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 ) )
        = $true )
      | ( ( ! [SY258: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY258 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY258 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SY258 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3651]) ).

thf(3668,plain,
    ! [SV30: $i,SV46: $i,SV9: $i,SV60: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV60 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SV60 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SV60 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3652]) ).

thf(3669,plain,
    ! [SV31: $i,SV47: $i,SV10: $i,SV61: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV61 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SV61 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SV61 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3653]) ).

thf(3670,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ sK6_SY250 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3655]) ).

thf(3671,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 )
      | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ sK5_SY220 )
      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ sK6_SY250 ) )
      | ~ ! [SY259: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY259 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY259 @ sK1_V0__ST ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY259 @ sK3_SY158 @ sK4_SY193 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY259 @ sK6_SY250 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3655]) ).

thf(3672,plain,
    ! [SV32: $i,SV48: $i,SV11: $i,SV62: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV62 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SV62 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SV62 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3656]) ).

thf(3673,plain,
    ! [SV14: $i,SV49: $i,SV33: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV33 @ SV49 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV33 ) @ ( cCoq_2eInit_2eDatatypes_2econs___24a3 @ cPLF_2eReferences_2eSTLCRef_2ety @ SV14 @ SV49 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV49 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV33 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3657]) ).

thf(3674,plain,
    ! [SV34: $i,SV50: $i,SV15: $i,SV63: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 ) )
        = $true )
      | ( ( ! [SY260: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY260 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SY260 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SY260 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3658]) ).

thf(3675,plain,
    ! [SV51: $i,SV35: $i,SV16: $i,SV64: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 ) )
        = $true )
      | ( ( ! [SY261: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY261 )
              | ! [SY262: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY262 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY261 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY261 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY262 ) )
                  | ~ ! [SY263: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY263 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY263 @ SV16 ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY263 @ SV51 @ SV64 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY263 @ SY262 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3659]) ).

thf(3676,plain,
    ! [SV52: $i,SV36: $i,SV18: $i,SV65: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 ) )
        = $true )
      | ( ( ! [SY264: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY264 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY264 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SY264 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3660]) ).

thf(3677,plain,
    ! [SV53: $i,SV37: $i,SV19: $i,SV66: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 ) )
        = $true )
      | ( ( ! [SY265: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY265 )
              | ! [SY266: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY266 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY265 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY266 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SY265 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SY266 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3661]) ).

thf(3678,plain,
    ! [SV22: $i,SV1: $i,SV24: $i,SV23: $i,SV39: $i,SV38: $i,SV54: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ( SV40 != SV54 )
                      | ( SV38 != SV39 ) )
                | ( SV23 != SV24 ) ) )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3662]) ).

thf(3679,plain,
    ! [SV54: $i,SV39: $i,SV24: $i,SV40: $i,SV38: $i,SV23: $i,SV22: $i,SV1: $i] :
      ( ( ( SV1 != SV22 )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3662]) ).

thf(3680,plain,
    ! [SV41: $i,SV25: $i,SV2: $i,SV55: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
          | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
          | ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3663]) ).

thf(3681,plain,
    ! [SV4: $i,SV26: $i,SV42: $i,SV56: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( ! [SY254: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SY254 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SY254 )
              | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SY254 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3664]) ).

thf(3682,plain,
    ! [SV27: $i,SV43: $i,SV5: $i,SV57: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV57 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SV57 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SV57 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3665]) ).

thf(3683,plain,
    ! [SV44: $i,SV28: $i,SV7: $i,SV58: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( ! [SY255: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY255 )
              | ! [SY256: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY256 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SY255 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SY255 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY256 ) )
                  | ~ ! [SY257: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY257 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY257 @ SV7 ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY257 @ SV44 @ SV58 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY257 @ SY256 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3666]) ).

thf(3684,plain,
    ! [SV45: $i,SV29: $i,SV8: $i,SV59: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 )
        = $false )
      | ( ( ! [SY258: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY258 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SY258 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SY258 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3667]) ).

thf(3685,plain,
    ! [SV30: $i,SV46: $i,SV9: $i,SV60: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV60 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SV60 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SV60 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3668]) ).

thf(3686,plain,
    ! [SV31: $i,SV47: $i,SV10: $i,SV61: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV61 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SV61 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SV61 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3669]) ).

thf(3687,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ sK6_SY250 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3670]) ).

thf(3688,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3671]) ).

thf(3689,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ sK5_SY220 )
      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ sK6_SY250 ) )
      | ~ ! [SY259: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY259 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY259 @ sK1_V0__ST ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY259 @ sK3_SY158 @ sK4_SY193 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY259 @ sK6_SY250 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3671]) ).

thf(3690,plain,
    ! [SV32: $i,SV48: $i,SV11: $i,SV62: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV62 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SV62 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SV62 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3672]) ).

thf(3691,plain,
    ! [SV34: $i,SV50: $i,SV15: $i,SV63: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 )
        = $false )
      | ( ( ! [SY260: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY260 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SY260 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SY260 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3674]) ).

thf(3692,plain,
    ! [SV51: $i,SV35: $i,SV16: $i,SV64: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( ! [SY261: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY261 )
              | ! [SY262: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY262 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SY261 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SY261 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY262 ) )
                  | ~ ! [SY263: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY263 )
                                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY263 @ SV16 ) )
                                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY263 @ SV51 @ SV64 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY263 @ SY262 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3675]) ).

thf(3693,plain,
    ! [SV52: $i,SV36: $i,SV18: $i,SV65: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 )
        = $false )
      | ( ( ! [SY264: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY264 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SY264 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SY264 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3676]) ).

thf(3694,plain,
    ! [SV53: $i,SV37: $i,SV19: $i,SV66: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( ! [SY265: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY265 )
              | ! [SY266: $i] :
                  ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY266 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SY265 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY266 ) )
                  | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SY265 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SY266 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3677]) ).

thf(3695,plain,
    ! [SV22: $i,SV1: $i,SV24: $i,SV23: $i,SV39: $i,SV38: $i,SV54: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( ( SV40 != SV54 )
                    | ( SV38 != SV39 ) )
              | ( SV23 != SV24 ) ) )
        = $true )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3678]) ).

thf(3696,plain,
    ! [SV54: $i,SV39: $i,SV24: $i,SV40: $i,SV38: $i,SV23: $i,SV22: $i,SV1: $i] :
      ( ( ( SV1 = SV22 )
        = $true )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3679]) ).

thf(3697,plain,
    ! [SV55: $i,SV41: $i,SV25: $i,SV2: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
          | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
          | ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3680]) ).

thf(3698,plain,
    ! [SV56: $i,SV4: $i,SV26: $i,SV42: $i,SV67: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV67 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SV67 )
          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SV67 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3681]) ).

thf(3699,plain,
    ! [SV57: $i,SV27: $i,SV43: $i,SV5: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SV57 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SV57 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV57 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3682]) ).

thf(3700,plain,
    ! [SV44: $i,SV58: $i,SV28: $i,SV7: $i,SV68: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
          | ! [SY267: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY267 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY267 ) )
              | ~ ! [SY257: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY257 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY257 @ SV7 ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY257 @ SV44 @ SV58 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY257 @ SY267 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3683]) ).

thf(3701,plain,
    ! [SV45: $i,SV29: $i,SV59: $i,SV8: $i,SV69: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV69 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SV69 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SV69 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3684]) ).

thf(3702,plain,
    ! [SV60: $i,SV30: $i,SV46: $i,SV9: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SV60 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SV60 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV60 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3685]) ).

thf(3703,plain,
    ! [SV61: $i,SV31: $i,SV47: $i,SV10: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SV61 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SV61 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV61 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3686]) ).

thf(3704,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ sK1_V0__ST @ sK2_SX0 @ sK4_SY193 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3688]) ).

thf(3705,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ sK5_SY220 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3689]) ).

thf(3706,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ sK6_SY250 ) )
      | ~ ! [SY259: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY259 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY259 @ sK1_V0__ST ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY259 @ sK3_SY158 @ sK4_SY193 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY259 @ sK6_SY250 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3689]) ).

thf(3707,plain,
    ! [SV62: $i,SV32: $i,SV48: $i,SV11: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SV62 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SV62 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV62 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3690]) ).

thf(3708,plain,
    ! [SV34: $i,SV50: $i,SV63: $i,SV15: $i,SV70: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV70 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SV70 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SV70 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3691]) ).

thf(3709,plain,
    ! [SV51: $i,SV64: $i,SV35: $i,SV16: $i,SV71: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
          | ! [SY269: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY269 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY269 ) )
              | ~ ! [SY263: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY263 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY263 @ SV16 ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY263 @ SV51 @ SV64 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY263 @ SY269 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3692]) ).

thf(3710,plain,
    ! [SV52: $i,SV36: $i,SV65: $i,SV18: $i,SV72: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV72 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SV72 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SV72 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3693]) ).

thf(3711,plain,
    ! [SV66: $i,SV53: $i,SV37: $i,SV19: $i,SV73: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 )
          | ! [SY271: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY271 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY271 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SY271 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3694]) ).

thf(3712,plain,
    ! [SV22: $i,SV1: $i,SV24: $i,SV23: $i,SV39: $i,SV38: $i,SV54: $i,SV40: $i] :
      ( ( ( ~ ~ ( ( SV40 != SV54 )
                | ( SV38 != SV39 ) )
          | ( SV23 != SV24 ) )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3695]) ).

thf(3713,plain,
    ! [SV55: $i,SV41: $i,SV25: $i,SV2: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
          | ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
          | ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3697]) ).

thf(3714,plain,
    ! [SV56: $i,SV4: $i,SV26: $i,SV42: $i,SV67: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV67 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SV67 )
          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SV67 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3698]) ).

thf(3715,plain,
    ! [SV57: $i,SV27: $i,SV43: $i,SV5: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV5 @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV27 @ SV57 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV5 ) @ SV43 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eref___24a1 @ SV27 ) @ SV57 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV57 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV43 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV27 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3699]) ).

thf(3716,plain,
    ! [SV44: $i,SV58: $i,SV28: $i,SV7: $i,SV68: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 ) )
        = $true )
      | ( ( ! [SY267: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY267 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY267 ) )
              | ~ ! [SY257: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY257 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY257 @ SV7 ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY257 @ SV44 @ SV58 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY257 @ SY267 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3700]) ).

thf(3717,plain,
    ! [SV45: $i,SV29: $i,SV59: $i,SV8: $i,SV69: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV69 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SV69 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SV69 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3701]) ).

thf(3718,plain,
    ! [SV60: $i,SV30: $i,SV46: $i,SV9: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV9 @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV30 @ SV60 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV9 ) @ SV46 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2ederef___24a1 @ SV30 ) @ SV60 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV60 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV46 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV30 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3702]) ).

thf(3719,plain,
    ! [SV61: $i,SV31: $i,SV47: $i,SV10: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV10 @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV31 @ SV61 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV10 ) @ SV47 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2escc___24a1 @ SV31 ) @ SV61 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV61 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV47 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV31 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3703]) ).

thf(3720,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ sK1_V0__ST @ sK5_SY220 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3705]) ).

thf(3721,plain,
    ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ sK6_SY250 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3706]) ).

thf(3722,plain,
    ( ( ~ ! [SY259: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY259 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY259 @ sK1_V0__ST ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY259 @ sK3_SY158 @ sK4_SY193 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY259 @ sK6_SY250 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3706]) ).

thf(3723,plain,
    ! [SV62: $i,SV32: $i,SV48: $i,SV11: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV11 @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV32 @ SV62 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV11 ) @ SV48 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eprd___24a1 @ SV32 ) @ SV62 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV62 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV48 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV32 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3707]) ).

thf(3724,plain,
    ! [SV34: $i,SV50: $i,SV63: $i,SV15: $i,SV70: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV70 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SV70 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SV70 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3708]) ).

thf(3725,plain,
    ! [SV51: $i,SV64: $i,SV35: $i,SV16: $i,SV71: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 ) )
        = $true )
      | ( ( ! [SY269: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY269 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY269 ) )
              | ~ ! [SY263: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY263 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY263 @ SV16 ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY263 @ SV51 @ SV64 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY263 @ SY269 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3709]) ).

thf(3726,plain,
    ! [SV52: $i,SV36: $i,SV65: $i,SV18: $i,SV72: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV72 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SV72 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SV72 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3710]) ).

thf(3727,plain,
    ! [SV66: $i,SV53: $i,SV37: $i,SV19: $i,SV73: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 ) )
        = $true )
      | ( ( ! [SY271: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY271 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY271 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SY271 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3711]) ).

thf(3728,plain,
    ! [SV24: $i,SV22: $i,SV23: $i,SV1: $i,SV39: $i,SV38: $i,SV54: $i,SV40: $i] :
      ( ( ( ~ ~ ( ( SV40 != SV54 )
                | ( SV38 != SV39 ) ) )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3712]) ).

thf(3729,plain,
    ! [SV54: $i,SV39: $i,SV22: $i,SV40: $i,SV38: $i,SV1: $i,SV24: $i,SV23: $i] :
      ( ( ( SV23 != SV24 )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3712]) ).

thf(3730,plain,
    ! [SV41: $i,SV25: $i,SV55: $i,SV2: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 ) )
        = $true )
      | ( ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
          | ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3713]) ).

thf(3731,plain,
    ! [SV56: $i,SV4: $i,SV26: $i,SV42: $i,SV67: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV67 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SV67 )
          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SV67 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3714]) ).

thf(3732,plain,
    ! [SV44: $i,SV58: $i,SV28: $i,SV7: $i,SV68: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( ! [SY267: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY267 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SY267 ) )
              | ~ ! [SY257: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY257 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY257 @ SV7 ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY257 @ SV44 @ SV58 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY257 @ SY267 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3716]) ).

thf(3733,plain,
    ! [SV45: $i,SV29: $i,SV59: $i,SV8: $i,SV69: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV69 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SV69 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SV69 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3717]) ).

thf(3734,plain,
    ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK2_SX0 @ sK5_SY220 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ sK3_SY158 @ sK6_SY250 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3721]) ).

thf(3735,plain,
    ( ( ! [SY259: $i] :
          ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY259 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY259 @ sK1_V0__ST ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY259 @ sK3_SY158 @ sK4_SY193 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY259 @ sK6_SY250 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3722]) ).

thf(3736,plain,
    ! [SV34: $i,SV50: $i,SV63: $i,SV15: $i,SV70: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV70 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SV70 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SV70 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3724]) ).

thf(3737,plain,
    ! [SV51: $i,SV64: $i,SV35: $i,SV16: $i,SV71: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( ! [SY269: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY269 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SY269 ) )
              | ~ ! [SY263: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY263 )
                                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY263 @ SV16 ) )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY263 @ SV51 @ SV64 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY263 @ SY269 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3725]) ).

thf(3738,plain,
    ! [SV52: $i,SV36: $i,SV65: $i,SV18: $i,SV72: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV72 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SV72 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SV72 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3726]) ).

thf(3739,plain,
    ! [SV66: $i,SV53: $i,SV37: $i,SV19: $i,SV73: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 )
        = $false )
      | ( ( ! [SY271: $i] :
              ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY271 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SY271 ) )
              | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SY271 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3727]) ).

thf(3740,plain,
    ! [SV24: $i,SV22: $i,SV23: $i,SV1: $i,SV39: $i,SV38: $i,SV54: $i,SV40: $i] :
      ( ( ( ~ ( ( SV40 != SV54 )
              | ( SV38 != SV39 ) ) )
        = $true )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3728]) ).

thf(3741,plain,
    ! [SV54: $i,SV39: $i,SV22: $i,SV40: $i,SV38: $i,SV1: $i,SV24: $i,SV23: $i] :
      ( ( ( SV23 = SV24 )
        = $true )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3729]) ).

thf(3742,plain,
    ! [SV41: $i,SV25: $i,SV55: $i,SV2: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
          | ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3730]) ).

thf(3743,plain,
    ! [SV67: $i,SV56: $i,SV4: $i,SV26: $i,SV42: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SV67 )
          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SV67 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV67 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3731]) ).

thf(3744,plain,
    ! [SV44: $i,SV68: $i,SV58: $i,SV28: $i,SV7: $i,SV74: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
          | ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3732]) ).

thf(3745,plain,
    ! [SV45: $i,SV69: $i,SV29: $i,SV59: $i,SV8: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SV69 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SV69 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV69 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3733]) ).

thf(3746,plain,
    ! [SV75: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3735]) ).

thf(3747,plain,
    ! [SV34: $i,SV70: $i,SV50: $i,SV63: $i,SV15: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SV70 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SV70 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV70 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3736]) ).

thf(3748,plain,
    ! [SV51: $i,SV71: $i,SV64: $i,SV35: $i,SV16: $i,SV76: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
          | ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3737]) ).

thf(3749,plain,
    ! [SV52: $i,SV72: $i,SV36: $i,SV65: $i,SV18: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SV72 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SV72 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV72 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3738]) ).

thf(3750,plain,
    ! [SV66: $i,SV53: $i,SV37: $i,SV73: $i,SV19: $i,SV77: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV77 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SV77 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SV77 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3739]) ).

thf(3751,plain,
    ! [SV24: $i,SV22: $i,SV23: $i,SV1: $i,SV39: $i,SV38: $i,SV54: $i,SV40: $i] :
      ( ( ( ( SV40 != SV54 )
          | ( SV38 != SV39 ) )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3740]) ).

thf(3752,plain,
    ! [SV41: $i,SV2: $i,SV55: $i,SV25: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( ~ ! [SY252: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                    | ~ ~ ! [SY253: $i] :
                            ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3742]) ).

thf(3753,plain,
    ! [SV67: $i,SV56: $i,SV4: $i,SV26: $i,SV42: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SV67 )
          | ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SV67 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV67 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3743]) ).

thf(3754,plain,
    ! [SV44: $i,SV68: $i,SV58: $i,SV28: $i,SV7: $i,SV74: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
          | ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3744]) ).

thf(3755,plain,
    ! [SV45: $i,SV69: $i,SV29: $i,SV59: $i,SV8: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV8 @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV29 @ SV69 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV8 @ SV45 ) @ SV59 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eassign___24a2 @ SV29 @ SV45 ) @ SV69 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV69 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV59 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV45 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV29 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3745]) ).

thf(3756,plain,
    ! [SV75: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
            | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3746]) ).

thf(3757,plain,
    ! [SV34: $i,SV70: $i,SV50: $i,SV63: $i,SV15: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV15 @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV50 @ SV70 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV15 @ SV34 ) @ SV63 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2emlt___24a2 @ SV50 @ SV34 ) @ SV70 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV70 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV63 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV50 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV34 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3747]) ).

thf(3758,plain,
    ! [SV51: $i,SV71: $i,SV64: $i,SV35: $i,SV16: $i,SV76: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
          | ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3748]) ).

thf(3759,plain,
    ! [SV52: $i,SV72: $i,SV36: $i,SV65: $i,SV18: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV18 @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV36 @ SV72 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV18 @ SV52 ) @ SV65 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2eapp___24a2 @ SV36 @ SV52 ) @ SV72 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV72 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV65 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV52 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV36 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV18 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3749]) ).

thf(3760,plain,
    ! [SV66: $i,SV53: $i,SV37: $i,SV73: $i,SV19: $i,SV77: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV77 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SV77 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SV77 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3750]) ).

thf(3761,plain,
    ! [SV39: $i,SV24: $i,SV22: $i,SV38: $i,SV23: $i,SV1: $i,SV54: $i,SV40: $i] :
      ( ( ( SV40 != SV54 )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3751]) ).

thf(3762,plain,
    ! [SV54: $i,SV24: $i,SV22: $i,SV40: $i,SV23: $i,SV1: $i,SV39: $i,SV38: $i] :
      ( ( ( SV38 != SV39 )
        = $false )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3751]) ).

thf(3763,plain,
    ! [SV41: $i,SV2: $i,SV55: $i,SV25: $i] :
      ( ( ( ! [SY252: $i] :
              ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SY252 )
                  | ~ ~ ! [SY253: $i] :
                          ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY253 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SY252 @ SY253 ) ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3752]) ).

thf(3764,plain,
    ! [SV42: $i,SV67: $i,SV56: $i,SV26: $i,SV4: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SV67 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SV67 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV67 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3753]) ).

thf(3765,plain,
    ! [SV44: $i,SV68: $i,SV58: $i,SV28: $i,SV7: $i,SV74: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
          | ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3754]) ).

thf(3766,plain,
    ! [SV75: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3756]) ).

thf(3767,plain,
    ! [SV51: $i,SV71: $i,SV64: $i,SV35: $i,SV16: $i,SV76: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
          | ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3758]) ).

thf(3768,plain,
    ! [SV66: $i,SV53: $i,SV37: $i,SV73: $i,SV19: $i,SV77: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV77 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SV77 ) )
          | ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SV77 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3760]) ).

thf(3769,plain,
    ! [SV39: $i,SV24: $i,SV22: $i,SV38: $i,SV23: $i,SV1: $i,SV54: $i,SV40: $i] :
      ( ( ( SV40 = SV54 )
        = $true )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3761]) ).

thf(3770,plain,
    ! [SV54: $i,SV24: $i,SV22: $i,SV40: $i,SV23: $i,SV1: $i,SV39: $i,SV38: $i] :
      ( ( ( SV38 = SV39 )
        = $true )
      | ( ( ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV1 @ SV23 @ SV38 @ SV40 )
          = ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ SV22 @ SV24 @ SV39 @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3762]) ).

thf(3771,plain,
    ! [SV25: $i,SV55: $i,SV2: $i,SV41: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) )
                | ~ ~ ! [SY274: $i] :
                        ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY274 )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ SY274 ) ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3763]) ).

thf(3772,plain,
    ! [SV42: $i,SV67: $i,SV56: $i,SV26: $i,SV4: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV26 @ SV56 @ SV67 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ SV4 @ SV42 @ SV56 @ SV67 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV42 @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV67 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV56 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV42 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV26 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2econtext___24t @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3764]) ).

thf(3773,plain,
    ! [SV74: $i,SV44: $i,SV68: $i,SV58: $i,SV28: $i,SV7: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
          | ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3765]) ).

thf(3774,plain,
    ! [SV75: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3766]) ).

thf(3775,plain,
    ! [SV76: $i,SV51: $i,SV71: $i,SV64: $i,SV35: $i,SV16: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
          | ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3767]) ).

thf(3776,plain,
    ! [SV66: $i,SV53: $i,SV77: $i,SV37: $i,SV73: $i,SV19: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SV77 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SV77 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV77 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3768]) ).

thf(3777,plain,
    ! [SV25: $i,SV55: $i,SV2: $i,SV41: $i] :
      ( ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) )
              | ~ ~ ! [SY274: $i] :
                      ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY274 )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ SY274 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3771]) ).

thf(3778,plain,
    ! [SV74: $i,SV44: $i,SV68: $i,SV58: $i,SV28: $i,SV7: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
          | ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3773]) ).

thf(3779,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) ) )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3774]) ).

thf(3780,plain,
    ! [SV76: $i,SV51: $i,SV71: $i,SV64: $i,SV35: $i,SV16: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
          | ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3775]) ).

thf(3781,plain,
    ! [SV66: $i,SV53: $i,SV77: $i,SV37: $i,SV73: $i,SV19: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV19 @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV37 @ SV77 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV19 @ SV53 @ SV66 ) @ SV73 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( cPLF_2eReferences_2eSTLCRef_2etest0___24a3 @ SV37 @ SV53 @ SV66 ) @ SV77 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV77 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV73 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV66 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV53 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV37 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3776]) ).

thf(3782,plain,
    ! [SV25: $i,SV55: $i,SV2: $i,SV41: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) )
          | ~ ~ ! [SY274: $i] :
                  ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY274 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ SY274 ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3777]) ).

thf(3783,plain,
    ! [SV58: $i,SV74: $i,SV44: $i,SV28: $i,SV68: $i,SV7: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
          | ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3778]) ).

thf(3784,plain,
    ! [SV75: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3779]) ).

thf(3785,plain,
    ! [SV64: $i,SV76: $i,SV51: $i,SV35: $i,SV71: $i,SV16: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
          | ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3780]) ).

thf(3786,plain,
    ! [SV25: $i,SV55: $i,SV2: $i,SV41: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3782]) ).

thf(3787,plain,
    ! [SV2: $i,SV41: $i,SV55: $i,SV25: $i] :
      ( ( ( ~ ~ ! [SY274: $i] :
                  ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY274 )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ SY274 ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3782]) ).

thf(3788,plain,
    ! [SV58: $i,SV74: $i,SV44: $i,SV28: $i,SV68: $i,SV7: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
          | ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3783]) ).

thf(3789,plain,
    ! [SV75: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3784]) ).

thf(3790,plain,
    ! [SV64: $i,SV76: $i,SV51: $i,SV35: $i,SV71: $i,SV16: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
          | ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3785]) ).

thf(3791,plain,
    ! [SV25: $i,SV55: $i,SV2: $i,SV41: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3786]) ).

thf(3792,plain,
    ! [SV2: $i,SV41: $i,SV55: $i,SV25: $i] :
      ( ( ( ~ ! [SY274: $i] :
                ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY274 )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ SY274 ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3787]) ).

thf(3793,plain,
    ! [SV58: $i,SV7: $i,SV74: $i,SV44: $i,SV68: $i,SV28: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) ) )
        = $true )
      | ( ( ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3788]) ).

thf(3794,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) ) )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3789]) ).

thf(3795,plain,
    ! [SV64: $i,SV16: $i,SV76: $i,SV51: $i,SV71: $i,SV35: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) ) )
        = $true )
      | ( ( ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3790]) ).

thf(3796,plain,
    ! [SV2: $i,SV41: $i,SV55: $i,SV25: $i] :
      ( ( ( ! [SY274: $i] :
              ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SY274 )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ SY274 ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3792]) ).

thf(3797,plain,
    ! [SV58: $i,SV7: $i,SV74: $i,SV44: $i,SV68: $i,SV28: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( ~ ! [SY272: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3793]) ).

thf(3798,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3794]) ).

thf(3799,plain,
    ! [SV64: $i,SV16: $i,SV76: $i,SV51: $i,SV71: $i,SV35: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( ~ ! [SY273: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3795]) ).

thf(3800,plain,
    ! [SV25: $i,SV55: $i,SV41: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3796]) ).

thf(3801,plain,
    ! [SV68: $i,SV28: $i,SV74: $i,SV58: $i,SV44: $i,SV7: $i] :
      ( ( ( ! [SY272: $i] :
              ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY272 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY272 @ SV7 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY272 @ SV44 @ SV58 ) )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY272 @ SV74 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3797]) ).

thf(3802,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3798]) ).

thf(3803,plain,
    ! [SV71: $i,SV35: $i,SV76: $i,SV64: $i,SV51: $i,SV16: $i] :
      ( ( ( ! [SY273: $i] :
              ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SY273 )
                              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SY273 @ SV16 ) )
                        | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SY273 @ SV51 @ SV64 ) )
                  | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SY273 @ SV76 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3799]) ).

thf(3804,plain,
    ! [SV25: $i,SV55: $i,SV41: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) ) ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3800]) ).

thf(3805,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV74 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3801]) ).

thf(3806,plain,
    ! [SV75: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3802]) ).

thf(3807,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
                            | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV76 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3803]) ).

thf(3808,plain,
    ! [SV25: $i,SV55: $i,SV41: $i,SV2: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3804]) ).

thf(3809,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV74 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3805]) ).

thf(3810,plain,
    ! [SV75: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 ) )
        = $true )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3806]) ).

thf(3811,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
                          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV76 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3807]) ).

thf(3812,plain,
    ! [SV25: $i,SV55: $i,SV41: $i,SV2: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3808]) ).

thf(3813,plain,
    ! [SV2: $i,SV41: $i,SV55: $i,SV25: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3808]) ).

thf(3814,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3809]) ).

thf(3815,plain,
    ! [SV75: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST )
        = $false )
      | ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3810]) ).

thf(3816,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3811]) ).

thf(3817,plain,
    ! [SV25: $i,SV55: $i,SV41: $i,SV2: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3812]) ).

thf(3818,plain,
    ! [SV2: $i,SV41: $i,SV55: $i,SV25: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV25 @ SV55 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ ( sK7_SY252 @ SV41 @ SV2 @ SV55 @ SV25 ) @ ( sK8_SY274 @ SV2 @ SV41 @ SV55 @ SV25 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2evalue___24a1 @ SV25 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV2 @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV2 @ SV25 @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV55 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV41 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV25 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3813]) ).

thf(3819,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3814]) ).

thf(3820,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3814]) ).

thf(3821,plain,
    ! [SV75: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV75 @ sK6_SY250 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ SV75 @ sK1_V0__ST )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV75 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV75 @ sK3_SY158 @ sK4_SY193 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3815]) ).

thf(3822,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
                      | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3816]) ).

thf(3823,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3816]) ).

thf(3824,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3819]) ).

thf(3825,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV74 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3820]) ).

thf(3826,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
                    | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3822]) ).

thf(3827,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV76 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3823]) ).

thf(3828,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3824]) ).

thf(3829,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3826]) ).

thf(3830,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3828]) ).

thf(3831,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3828]) ).

thf(3832,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
                | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3829]) ).

thf(3833,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3829]) ).

thf(3834,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3830]) ).

thf(3835,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV44 @ SV58 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3831]) ).

thf(3836,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
              | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3832]) ).

thf(3837,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV51 @ SV64 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3833]) ).

thf(3838,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3834]) ).

thf(3839,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
          | ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3836]) ).

thf(3840,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3838]) ).

thf(3841,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3838]) ).

thf(3842,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3839]) ).

thf(3843,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( ~ ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3839]) ).

thf(3844,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3840]) ).

thf(3845,plain,
    ! [SV7: $i,SV44: $i,SV58: $i,SV74: $i,SV28: $i,SV68: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK9_SY272 @ SV68 @ SV28 @ SV74 @ SV58 @ SV44 @ SV7 ) @ SV7 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV28 @ SV68 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV44 @ SV74 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV7 @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV7 @ SV28 @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV74 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV68 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV58 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV44 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV28 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3841]) ).

thf(3846,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3842]) ).

thf(3847,plain,
    ! [SV16: $i,SV51: $i,SV64: $i,SV76: $i,SV35: $i,SV71: $i] :
      ( ( ( cPLF_2eReferences_2eSTLCRef_2eextends___24a2 @ ( sK10_SY273 @ SV71 @ SV35 @ SV76 @ SV64 @ SV51 @ SV16 ) @ SV16 )
        = $true )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estep___24a2 @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV35 @ SV71 ) @ ( cCoq_2eInit_2eDatatypes_2epair___24a4 @ cPLF_2eReferences_2eSTLCRef_2etm @ cPLF_2eReferences_2eSTLCRef_2estore @ SV51 @ SV76 ) )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2 @ SV16 @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4 @ ( cPLF_2eMaps_2eempty___24a1 @ cPLF_2eReferences_2eSTLCRef_2ety ) @ SV16 @ SV35 @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV76 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore___24t @ SV71 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2ety___24t @ SV64 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV51 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2etm___24t @ SV35 )
        = $false )
      | ( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3843]) ).

thf(3848,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[3397,3847,3846,3845,3844,3837,3835,3827,3825,3821,3818,3817,3791,3781,3772,3770,3769,3759,3757,3755,3741,3734,3723,3720,3719,3718,3715,3704,3696,3687,3673,3654,3622,3597,3596,3590,3589,3588,3587,3584,3579,3578,3575,3574,3532,3517,3514,3424,3405,3404,3403,3402,3401,3400,3399,3398]) ).

thf(3849,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[3848]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV679+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
% 0.07/0.20  % Computer : n016.cluster.edu
% 0.07/0.20  % Model    : x86_64 x86_64
% 0.07/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20  % Memory   : 8046.5625MB
% 0.07/0.20  % OS       : Linux 6.8.0-71-generic
% 0.07/0.20  % CPULimit : 300
% 0.07/0.20  % WCLimit  : 300
% 0.07/0.20  % DateTime : Tue Oct  6 15:55:29 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.21  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.46/10.93  ............................
% 52.46/10.93  
% 52.46/10.93   No.of.Axioms: 30
% 52.46/10.93  
% 52.46/10.93   Length.of.Defs: 0
% 52.46/10.93  
% 52.46/10.93   Contains.Choice.Funs: false
% 52.46/10.93  ........................................................
% 52.46/10.93  
% 52.46/10.93  ********************************
% 52.46/10.93  *   All subproblems solved!    *
% 52.46/10.93  ********************************
% 52.46/10.93  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:31,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:294,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3848,loop_count:0,foatp_calls:1,translation:fof_full)
% 52.46/10.93  
% 52.46/10.93  %**** Beginning of derivation protocol ****
% 52.46/10.93  % SZS output start CNFRefutation
% See solution above
% 52.46/10.95  
% 52.46/10.95  %**** End of derivation protocol ****
% 52.46/10.95  %**** no. of clauses in derivation: 523 ****
% 52.46/10.95  %**** clause counter: 3848 ****
% 52.46/10.95  
% 52.46/10.95  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:31,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:294,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3848,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------