%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV606+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 10:50:15 AM UTC 2026
% Result : Theorem 165.73s 27.90s
% Output : CNFRefutation 27.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 309
% Syntax : Number of formulae : 4636 (1292 unt; 0 typ; 0 def)
% Number of atoms : 47918 (15324 equ; 0 cnn)
% Maximal formula atoms : 9 ( 10 avg)
% Number of connectives : 85243 (11871 ~;16080 |; 69 &;54104 @)
% ( 162 <=>;2957 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 789 ( 786 usr; 371 con; 0-12 aty)
% Number of variables : 10792 ( 0 ^;10783 !; 9 ?;10792 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cCoq_2eClasses_2eMorphisms_2eProper,type,
cCoq_2eClasses_2eMorphisms_2eProper: $i ).
thf(tp_cCoq_2eClasses_2eMorphisms_2eProper___24a3,type,
cCoq_2eClasses_2eMorphisms_2eProper___24a3: $i > $i > $i > $o ).
thf(tp_cCoq_2eClasses_2eMorphisms_2erespectful,type,
cCoq_2eClasses_2eMorphisms_2erespectful: $i ).
thf(tp_cCoq_2eClasses_2eMorphisms_2erespectful___24a4,type,
cCoq_2eClasses_2eMorphisms_2erespectful___24a4: $i > $i > $i > $i > $i ).
thf(tp_cCoq_2eClasses_2eRelationClasses_2eEquivalence,type,
cCoq_2eClasses_2eRelationClasses_2eEquivalence: $i ).
thf(tp_cCoq_2eClasses_2eRelationClasses_2eEquivalence___24a2,type,
cCoq_2eClasses_2eRelationClasses_2eEquivalence___24a2: $i > $i > $o ).
thf(tp_cCoq_2eClasses_2eRelationClasses_2ePreOrder,type,
cCoq_2eClasses_2eRelationClasses_2ePreOrder: $i ).
thf(tp_cCoq_2eClasses_2eRelationClasses_2ePreOrder___24a2,type,
cCoq_2eClasses_2eRelationClasses_2ePreOrder___24a2: $i > $i > $o ).
thf(tp_cCoq_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_2eInit_2eDatatypes_2eBoolSpec,type,
cCoq_2eInit_2eDatatypes_2eBoolSpec: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eBoolSpec___24a3,type,
cCoq_2eInit_2eDatatypes_2eBoolSpec___24a3: $i > $i > $i > $o ).
thf(tp_cCoq_2eInit_2eDatatypes_2eCompOpp,type,
cCoq_2eInit_2eDatatypes_2eCompOpp: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eCompOpp___24a1,type,
cCoq_2eInit_2eDatatypes_2eCompOpp___24a1: $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eCompareSpec,type,
cCoq_2eInit_2eDatatypes_2eCompareSpec: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eCompareSpec___24a4,type,
cCoq_2eInit_2eDatatypes_2eCompareSpec___24a4: $i > $i > $i > $i > $o ).
thf(tp_cCoq_2eInit_2eDatatypes_2eEq,type,
cCoq_2eInit_2eDatatypes_2eEq: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eGt,type,
cCoq_2eInit_2eDatatypes_2eGt: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eLt,type,
cCoq_2eInit_2eDatatypes_2eLt: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eNone,type,
cCoq_2eInit_2eDatatypes_2eNone: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eNone___24a1,type,
cCoq_2eInit_2eDatatypes_2eNone___24a1: $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eO,type,
cCoq_2eInit_2eDatatypes_2eO: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eS,type,
cCoq_2eInit_2eDatatypes_2eS: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eS___24a1,type,
cCoq_2eInit_2eDatatypes_2eS___24a1: $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eSome,type,
cCoq_2eInit_2eDatatypes_2eSome: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eSome___24a2,type,
cCoq_2eInit_2eDatatypes_2eSome___24a2: $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eandb,type,
cCoq_2eInit_2eDatatypes_2eandb: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eandb___24a2,type,
cCoq_2eInit_2eDatatypes_2eandb___24a2: $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2ebool,type,
cCoq_2eInit_2eDatatypes_2ebool: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2ebool___24t,type,
cCoq_2eInit_2eDatatypes_2ebool___24t: $i > $o ).
thf(tp_cCoq_2eInit_2eDatatypes_2ecomparison,type,
cCoq_2eInit_2eDatatypes_2ecomparison: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2ecomparison___24t,type,
cCoq_2eInit_2eDatatypes_2ecomparison___24t: $i > $o ).
thf(tp_cCoq_2eInit_2eDatatypes_2econs,type,
cCoq_2eInit_2eDatatypes_2econs: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2econs___24a3,type,
cCoq_2eInit_2eDatatypes_2econs___24a3: $i > $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2efalse,type,
cCoq_2eInit_2eDatatypes_2efalse: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2efst,type,
cCoq_2eInit_2eDatatypes_2efst: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2efst___24a3,type,
cCoq_2eInit_2eDatatypes_2efst___24a3: $i > $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_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__rec,type,
cCoq_2eInit_2eDatatypes_2enat__rec: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2enat__rec___24a1,type,
cCoq_2eInit_2eDatatypes_2enat__rec___24a1: $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2enat__rect,type,
cCoq_2eInit_2eDatatypes_2enat__rect: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2enat__rect___24a1,type,
cCoq_2eInit_2eDatatypes_2enat__rect___24a1: $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2enat__rect___24a3,type,
cCoq_2eInit_2eDatatypes_2enat__rect___24a3: $i > $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_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_2eorb,type,
cCoq_2eInit_2eDatatypes_2eorb: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eorb___24a2,type,
cCoq_2eInit_2eDatatypes_2eorb___24a2: $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2epair,type,
cCoq_2eInit_2eDatatypes_2epair: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2epair___24a4,type,
cCoq_2eInit_2eDatatypes_2epair___24a4: $i > $i > $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eprod,type,
cCoq_2eInit_2eDatatypes_2eprod: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eprod___24a2,type,
cCoq_2eInit_2eDatatypes_2eprod___24a2: $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eprod___24t,type,
cCoq_2eInit_2eDatatypes_2eprod___24t: $i > $i > $i > $o ).
thf(tp_cCoq_2eInit_2eDatatypes_2esnd,type,
cCoq_2eInit_2eDatatypes_2esnd: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2esnd___24a3,type,
cCoq_2eInit_2eDatatypes_2esnd___24a3: $i > $i > $i > $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2etrue,type,
cCoq_2eInit_2eDatatypes_2etrue: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2ett,type,
cCoq_2eInit_2eDatatypes_2ett: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eunit,type,
cCoq_2eInit_2eDatatypes_2eunit: $i ).
thf(tp_cCoq_2eInit_2eDatatypes_2eunit___24t,type,
cCoq_2eInit_2eDatatypes_2eunit___24t: $i > $o ).
thf(tp_cCoq_2eInit_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_2eNat_2eadd,type,
cCoq_2eInit_2eNat_2eadd: $i ).
thf(tp_cCoq_2eInit_2eNat_2eadd___24a2,type,
cCoq_2eInit_2eNat_2eadd___24a2: $i > $i > $i ).
thf(tp_cCoq_2eInit_2eNat_2ecompare,type,
cCoq_2eInit_2eNat_2ecompare: $i ).
thf(tp_cCoq_2eInit_2eNat_2ecompare___24a2,type,
cCoq_2eInit_2eNat_2ecompare___24a2: $i > $i > $i ).
thf(tp_cCoq_2eInit_2eNat_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_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_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_2ePeano_2ele,type,
cCoq_2eInit_2ePeano_2ele: $i ).
thf(tp_cCoq_2eInit_2ePeano_2ele___24a2,type,
cCoq_2eInit_2ePeano_2ele___24a2: $i > $i > $o ).
thf(tp_cCoq_2eInit_2ePeano_2elt,type,
cCoq_2eInit_2ePeano_2elt: $i ).
thf(tp_cCoq_2eInit_2ePeano_2elt___24a2,type,
cCoq_2eInit_2ePeano_2elt___24a2: $i > $i > $o ).
thf(tp_cCoq_2eInit_2eSpecif_2eexist,type,
cCoq_2eInit_2eSpecif_2eexist: $i ).
thf(tp_cCoq_2eInit_2eSpecif_2eexist___24a3,type,
cCoq_2eInit_2eSpecif_2eexist___24a3: $i > $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_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_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__rect,type,
cCoq_2eInit_2eWf_2eAcc__rect: $i ).
thf(tp_cCoq_2eInit_2eWf_2eAcc__rect___24a5,type,
cCoq_2eInit_2eWf_2eAcc__rect___24a5: $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,type,
cCoq_2eInit_2eWf_2ewell__founded__induction__type: $i ).
thf(tp_cCoq_2eInit_2eWf_2ewell__founded__induction__type___24a5,type,
cCoq_2eInit_2eWf_2ewell__founded__induction__type___24a5: $i > $i > $i > $i > $i > $i ).
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_2eNArith_2eBinNatDef_2eN_2eadd,type,
cCoq_2eNArith_2eBinNatDef_2eN_2eadd: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eadd___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2eadd___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ecompare,type,
cCoq_2eNArith_2eBinNatDef_2eN_2ecompare: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ecompare___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2ecompare___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ediv,type,
cCoq_2eNArith_2eBinNatDef_2eN_2ediv: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2ediv___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2ediv___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emax,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emax: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emax___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emax___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emin,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emin: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emin___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emin___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emodulo,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emodulo: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emodulo___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emodulo___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emul,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emul: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2emul___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2emul___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eof__nat,type,
cCoq_2eNArith_2eBinNatDef_2eN_2eof__nat: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eof__nat___24a1,type,
cCoq_2eNArith_2eBinNatDef_2eN_2eof__nat___24a1: $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl,type,
cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2epos__div__eucl___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epow,type,
cCoq_2eNArith_2eBinNatDef_2eN_2epow: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2epow___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2epow___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esub,type,
cCoq_2eNArith_2eBinNatDef_2eN_2esub: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esub___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2esub___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esucc,type,
cCoq_2eNArith_2eBinNatDef_2eN_2esucc: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2esucc___24a1,type,
cCoq_2eNArith_2eBinNatDef_2eN_2esucc___24a1: $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2etestbit,type,
cCoq_2eNArith_2eBinNatDef_2eN_2etestbit: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2etestbit___24a2,type,
cCoq_2eNArith_2eBinNatDef_2eN_2etestbit___24a2: $i > $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat,type,
cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat: $i ).
thf(tp_cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat___24a1,type,
cCoq_2eNArith_2eBinNatDef_2eN_2eto__nat___24a1: $i > $i ).
thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ele,type,
cCoq_2eNArith_2eBinNat_2eN_2ele: $i ).
thf(tp_cCoq_2eNArith_2eBinNat_2eN_2ele___24a2,type,
cCoq_2eNArith_2eBinNat_2eN_2ele___24a2: $i > $i > $o ).
thf(tp_cCoq_2eNArith_2eBinNat_2eN_2elt,type,
cCoq_2eNArith_2eBinNat_2eN_2elt: $i ).
thf(tp_cCoq_2eNArith_2eBinNat_2eN_2elt___24a2,type,
cCoq_2eNArith_2eBinNat_2eN_2elt___24a2: $i > $i > $o ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eN,type,
cCoq_2eNumbers_2eBinNums_2eN: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eN0,type,
cCoq_2eNumbers_2eBinNums_2eN0: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eN___24t,type,
cCoq_2eNumbers_2eBinNums_2eN___24t: $i > $o ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eNpos,type,
cCoq_2eNumbers_2eBinNums_2eNpos: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eNpos___24a1,type,
cCoq_2eNumbers_2eBinNums_2eNpos___24a1: $i > $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eZ,type,
cCoq_2eNumbers_2eBinNums_2eZ: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eZ0,type,
cCoq_2eNumbers_2eBinNums_2eZ0: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eZ___24t,type,
cCoq_2eNumbers_2eBinNums_2eZ___24t: $i > $o ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eZneg,type,
cCoq_2eNumbers_2eBinNums_2eZneg: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eZneg___24a1,type,
cCoq_2eNumbers_2eBinNums_2eZneg___24a1: $i > $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eZpos,type,
cCoq_2eNumbers_2eBinNums_2eZpos: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2eZpos___24a1,type,
cCoq_2eNumbers_2eBinNums_2eZpos___24a1: $i > $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2epositive,type,
cCoq_2eNumbers_2eBinNums_2epositive: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2epositive___24t,type,
cCoq_2eNumbers_2eBinNums_2epositive___24t: $i > $o ).
thf(tp_cCoq_2eNumbers_2eBinNums_2exH,type,
cCoq_2eNumbers_2eBinNums_2exH: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2exI,type,
cCoq_2eNumbers_2eBinNums_2exI: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2exI___24a1,type,
cCoq_2eNumbers_2eBinNums_2exI___24a1: $i > $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2exO,type,
cCoq_2eNumbers_2eBinNums_2exO: $i ).
thf(tp_cCoq_2eNumbers_2eBinNums_2exO___24a1,type,
cCoq_2eNumbers_2eBinNums_2exO___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNeg,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNeg: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNul,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eIsNul: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eIsPos___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eadd,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eadd: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eadd___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eadd___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2ecompare__cont___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_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_2ediv2__up,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2__up: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2__up___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2ediv2__up___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eeqb___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2egcd,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2egcd: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2egcd___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2egcd___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eiter: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter___24a3,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eiter___24a3: $i > $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter___24a4,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eiter___24a4: $i > $i > $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op___24a4,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eiter__op___24a4: $i > $i > $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emask,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2emask: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emask___24t,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2emask___24t: $i > $o ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emul,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2emul: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2emul___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2emul___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eof__succ__nat___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2epred__N___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2epred__double___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esize,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esize: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esize___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esize___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esqrt___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esqrtrem,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esqrtrem: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esqrtrem___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esqrtrem___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esub: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esub___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esub__mask___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esucc,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esucc: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2esucc___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2esucc___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit___24a2,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2etestbit___24a2: $i > $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat: $i ).
thf(tp_cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat___24a1,type,
cCoq_2ePArith_2eBinPosDef_2ePos_2eto__nat___24a1: $i > $i ).
thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eSqrtSpec,type,
cCoq_2ePArith_2eBinPos_2ePos_2eSqrtSpec: $i ).
thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2eSqrtSpec___24a2,type,
cCoq_2ePArith_2eBinPos_2ePos_2eSqrtSpec___24a2: $i > $i > $o ).
thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ele,type,
cCoq_2ePArith_2eBinPos_2ePos_2ele: $i ).
thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2ele___24a2,type,
cCoq_2ePArith_2eBinPos_2ePos_2ele___24a2: $i > $i > $o ).
thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2elt,type,
cCoq_2ePArith_2eBinPos_2ePos_2elt: $i ).
thf(tp_cCoq_2ePArith_2eBinPos_2ePos_2elt___24a2,type,
cCoq_2ePArith_2eBinPos_2ePos_2elt___24a2: $i > $i > $o ).
thf(tp_cCoq_2eQArith_2eQArith__base_2eQ,type,
cCoq_2eQArith_2eQArith__base_2eQ: $i ).
thf(tp_cCoq_2eQArith_2eQArith__base_2eQ___24t,type,
cCoq_2eQArith_2eQArith__base_2eQ___24t: $i > $o ).
thf(tp_cCoq_2eQArith_2eQArith__base_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_2eQle,type,
cCoq_2eQArith_2eQArith__base_2eQle: $i ).
thf(tp_cCoq_2eQArith_2eQArith__base_2eQle___24a2,type,
cCoq_2eQArith_2eQArith__base_2eQle___24a2: $i > $i > $o ).
thf(tp_cCoq_2eQArith_2eQArith__base_2eQmake,type,
cCoq_2eQArith_2eQArith__base_2eQmake: $i ).
thf(tp_cCoq_2eQArith_2eQArith__base_2eQmake___24a2,type,
cCoq_2eQArith_2eQArith__base_2eQmake___24a2: $i > $i > $i ).
thf(tp_cCoq_2eQArith_2eQArith__base_2eQnum,type,
cCoq_2eQArith_2eQArith__base_2eQnum: $i ).
thf(tp_cCoq_2eQArith_2eQArith__base_2eQnum___24a1,type,
cCoq_2eQArith_2eQArith__base_2eQnum___24a1: $i > $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eIPR,type,
cCoq_2eReals_2eRdefinitions_2eIPR: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eIPR___24a1,type,
cCoq_2eReals_2eRdefinitions_2eIPR___24a1: $i > $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eIZR,type,
cCoq_2eReals_2eRdefinitions_2eIZR: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eIZR___24a1,type,
cCoq_2eReals_2eRdefinitions_2eIZR___24a1: $i > $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eR,type,
cCoq_2eReals_2eRdefinitions_2eR: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eR0,type,
cCoq_2eReals_2eRdefinitions_2eR0: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eR___24t,type,
cCoq_2eReals_2eRdefinitions_2eR___24t: $i > $o ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRinv,type,
cCoq_2eReals_2eRdefinitions_2eRinv: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRle,type,
cCoq_2eReals_2eRdefinitions_2eRle: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRle___24a2,type,
cCoq_2eReals_2eRdefinitions_2eRle___24a2: $i > $i > $o ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRlt,type,
cCoq_2eReals_2eRdefinitions_2eRlt: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRlt___24a2,type,
cCoq_2eReals_2eRdefinitions_2eRlt___24a2: $i > $i > $o ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRmult,type,
cCoq_2eReals_2eRdefinitions_2eRmult: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRmult___24a2,type,
cCoq_2eReals_2eRdefinitions_2eRmult___24a2: $i > $i > $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRopp,type,
cCoq_2eReals_2eRdefinitions_2eRopp: $i ).
thf(tp_cCoq_2eReals_2eRdefinitions_2eRopp___24a1,type,
cCoq_2eReals_2eRdefinitions_2eRopp___24a1: $i > $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZ__spec,type,
cCoq_2eReals_2eRfunctions_2eZ__spec: $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZ__spec___24a2,type,
cCoq_2eReals_2eRfunctions_2eZ__spec___24a2: $i > $i > $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZ__spec___24t,type,
cCoq_2eReals_2eRfunctions_2eZ__spec___24t: $i > $i > $i > $o ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZintNeg,type,
cCoq_2eReals_2eRfunctions_2eZintNeg: $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZintNeg___24a2,type,
cCoq_2eReals_2eRfunctions_2eZintNeg___24a2: $i > $i > $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZintNull,type,
cCoq_2eReals_2eRfunctions_2eZintNull: $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZintNull___24a1,type,
cCoq_2eReals_2eRfunctions_2eZintNull___24a1: $i > $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZintPos,type,
cCoq_2eReals_2eRfunctions_2eZintPos: $i ).
thf(tp_cCoq_2eReals_2eRfunctions_2eZintPos___24a2,type,
cCoq_2eReals_2eRfunctions_2eZintPos___24a2: $i > $i > $i ).
thf(tp_cCoq_2eReals_2eRiemannInt__SF_2eIZN__var,type,
cCoq_2eReals_2eRiemannInt__SF_2eIZN__var: $i ).
thf(tp_cCoq_2eReals_2eRpow__def_2epow,type,
cCoq_2eReals_2eRpow__def_2epow: $i ).
thf(tp_cCoq_2eReals_2eRpow__def_2epow___24a2,type,
cCoq_2eReals_2eRpow__def_2epow___24a2: $i > $i > $i ).
thf(tp_cCoq_2eRelations_2eRelation__Definitions_2erelation,type,
cCoq_2eRelations_2eRelation__Definitions_2erelation: $i ).
thf(tp_cCoq_2eRelations_2eRelation__Definitions_2erelation___24a1,type,
cCoq_2eRelations_2eRelation__Definitions_2erelation___24a1: $i > $i ).
thf(tp_cCoq_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_2eZArith_2eBinIntDef_2eZ_2eabs,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eabs: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__N___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__nat,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__nat: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__nat___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eabs__nat___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_2ediv2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2ediv2: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2ediv2___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2ediv2___24a1: $i > $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_2edouble,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2edouble: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2edouble___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2edouble___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eeqb___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2egcd,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2egcd: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eland,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eland: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eleb,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eleb: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eleb___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eleb___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elog2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2elog2: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elor,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2elor: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elor___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2elor___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_2elxor,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2elxor: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___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_2emin,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2emin: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emul,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2emul: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eodd,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eodd: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eodd___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eodd___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eof__N___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eof__nat___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eopp,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eopp: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__div__eucl,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epos__div__eucl: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__div__eucl___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epos__div__eucl___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epos__sub___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epow: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epow__pos___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epred: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred__double,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epred__double: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2epred__double___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2epred__double___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equot,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2equot: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2equotrem___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2erem,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2erem: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esgn,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esgn: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftr,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftr: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftr___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftr___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esqrtrem,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esqrtrem: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esqrtrem___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esqrtrem___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_2esucc__double,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esucc__double: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2esucc__double___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2esucc__double___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos: $i ).
thf(tp_cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos___24a1,type,
cCoq_2eZArith_2eBinIntDef_2eZ_2eto__pos___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eOdd,type,
cCoq_2eZArith_2eBinInt_2eZ_2eOdd: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eOdd___24a1,type,
cCoq_2eZArith_2eBinInt_2eZ_2eOdd___24a1: $i > $o ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eb2z,type,
cCoq_2eZArith_2eBinInt_2eZ_2eb2z: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eb2z___24a1,type,
cCoq_2eZArith_2eBinInt_2eZ_2eb2z___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2edivide,type,
cCoq_2eZArith_2eBinInt_2eZ_2edivide: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2,type,
cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2: $i > $i > $o ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeq,type,
cCoq_2eZArith_2eBinInt_2eZ_2eeq: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec,type,
cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec___24a2,type,
cCoq_2eZArith_2eBinInt_2eZ_2eeq__dec___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeqf,type,
cCoq_2eZArith_2eBinInt_2eZ_2eeqf: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eeqf___24a2,type,
cCoq_2eZArith_2eBinInt_2eZ_2eeqf___24a2: $i > $i > $o ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ege,type,
cCoq_2eZArith_2eBinInt_2eZ_2ege: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2,type,
cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2: $i > $i > $o ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2egt,type,
cCoq_2eZArith_2eBinInt_2eZ_2egt: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2,type,
cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elcm,type,
cCoq_2eZArith_2eBinInt_2eZ_2elcm: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2,type,
cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2: $i > $i > $i ).
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_2elnot,type,
cCoq_2eZArith_2eBinInt_2eZ_2elnot: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elnot___24a1,type,
cCoq_2eZArith_2eBinInt_2eZ_2elnot___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elog2__up,type,
cCoq_2eZArith_2eBinInt_2eZ_2elog2__up: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1,type,
cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1: $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_2eones,type,
cCoq_2eZArith_2eBinInt_2eZ_2eones: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2eones___24a1,type,
cCoq_2eZArith_2eBinInt_2eZ_2eones___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2esetbit,type,
cCoq_2eZArith_2eBinInt_2eZ_2esetbit: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2esetbit___24a2,type,
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thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up,type,
cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1,type,
cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZne,type,
cCoq_2eZArith_2eBinInt_2eZne: $i ).
thf(tp_cCoq_2eZArith_2eBinInt_2eZne___24a2,type,
cCoq_2eZArith_2eBinInt_2eZne___24a2: $i > $i > $o ).
thf(tp_cCoq_2eZArith_2eWf__Z_2eZ__lt__rec,type,
cCoq_2eZArith_2eWf__Z_2eZ__lt__rec: $i ).
thf(tp_cCoq_2eZArith_2eWf__Z_2eZ__of__nat__complete__inf,type,
cCoq_2eZArith_2eWf__Z_2eZ__of__nat__complete__inf: $i ).
thf(tp_cCoq_2eZArith_2eWf__Z_2eZ__of__nat__set,type,
cCoq_2eZArith_2eWf__Z_2eZ__of__nat__set: $i ).
thf(tp_cCoq_2eZArith_2eWf__Z_2eZlt__lower__bound__rec,type,
cCoq_2eZArith_2eWf__Z_2eZlt__lower__bound__rec: $i ).
thf(tp_cCoq_2eZArith_2eWf__Z_2enatlike__rec,type,
cCoq_2eZArith_2eWf__Z_2enatlike__rec: $i ).
thf(tp_cCoq_2eZArith_2eWf__Z_2enatlike__rec2,type,
cCoq_2eZArith_2eWf__Z_2enatlike__rec2: $i ).
thf(tp_cCoq_2eZArith_2eWf__Z_2enatlike__rec3,type,
cCoq_2eZArith_2eWf__Z_2enatlike__rec3: $i ).
thf(tp_cCoq_2eZArith_2eZArith__dec_2eZ__zerop,type,
cCoq_2eZArith_2eZArith__dec_2eZ__zerop: $i ).
thf(tp_cCoq_2eZArith_2eZArith__dec_2eZ__zerop___24a1,type,
cCoq_2eZArith_2eZArith__dec_2eZ__zerop___24a1: $i > $i ).
thf(tp_cCoq_2eZArith_2eZbool_2eZeq__bool,type,
cCoq_2eZArith_2eZbool_2eZeq__bool: $i ).
thf(tp_cCoq_2eZArith_2eZbool_2eZeq__bool___24a2,type,
cCoq_2eZArith_2eZbool_2eZeq__bool___24a2: $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eZdiv_2eRemainder,type,
cCoq_2eZArith_2eZdiv_2eRemainder: $i ).
thf(tp_cCoq_2eZArith_2eZdiv_2eRemainder___24a2,type,
cCoq_2eZArith_2eZdiv_2eRemainder___24a2: $i > $i > $o ).
thf(tp_cCoq_2eZArith_2eZdiv_2eZdiv__eucl__exist,type,
cCoq_2eZArith_2eZdiv_2eZdiv__eucl__exist: $i ).
thf(tp_cCoq_2eZArith_2eZdiv_2eZdiv__eucl__extended,type,
cCoq_2eZArith_2eZdiv_2eZdiv__eucl__extended: $i ).
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_2eZmin_2eZmin__le__prime__inf,type,
cCoq_2eZArith_2eZmin_2eZmin__le__prime__inf: $i ).
thf(tp_cCoq_2eZArith_2eZnumtheory_2eBezout,type,
cCoq_2eZArith_2eZnumtheory_2eBezout: $i ).
thf(tp_cCoq_2eZArith_2eZnumtheory_2eBezout___24a3,type,
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thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid,type,
cCoq_2eZArith_2eZnumtheory_2eEuclid: $i ).
thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid___24a2,type,
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thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid___24t,type,
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thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid__intro,type,
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thf(tp_cCoq_2eZArith_2eZnumtheory_2eEuclid__intro___24a5,type,
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thf(tp_cCoq_2eZArith_2eZnumtheory_2eZis__gcd,type,
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thf(tp_cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3,type,
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thf(tp_cCoq_2eZArith_2eZnumtheory_2eeuclid__rec,type,
cCoq_2eZArith_2eZnumtheory_2eeuclid__rec: $i ).
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,
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thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proof,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proof___24a4,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs___24a2,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs___24t,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs__rect,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs__rect___24a5,type,
cCoq_2eZArith_2eZpower_2eZdiv__rest__proofs__rect___24a5: $i > $i > $i > $i > $i > $i ).
thf(tp_cCoq_2eZArith_2eZpower_2eZpower__nat,type,
cCoq_2eZArith_2eZpower_2eZpower__nat: $i ).
thf(tp_cCoq_2eZArith_2eZpower_2eZpower__nat___24a1,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eZpower__nat___24a2,type,
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thf(tp_cCoq_2eZArith_2eZpower_2eshift__pos,type,
cCoq_2eZArith_2eZpower_2eshift__pos: $i ).
thf(tp_cCoq_2eZArith_2eZpower_2eshift__pos___24a2,type,
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thf(tp_cCoq_2eZArith_2eZpower_2etwo__p,type,
cCoq_2eZArith_2eZpower_2etwo__p: $i ).
thf(tp_cCoq_2eZArith_2eZpower_2etwo__p___24a1,type,
cCoq_2eZArith_2eZpower_2etwo__p___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_2esetoid__ring_2eRing__polynom_2eMon,type,
cCoq_2esetoid__ring_2eRing__polynom_2eMon: $i ).
thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2eMon___24t,type,
cCoq_2esetoid__ring_2eRing__polynom_2eMon___24t: $i > $o ).
thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEI,type,
cCoq_2esetoid__ring_2eRing__polynom_2ePEI: $i ).
thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEI___24a1,type,
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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,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEX,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEX___24a2,type,
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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,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEc,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEc___24a2,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEmul,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEmul___24a3,type,
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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,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEpow,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEpow___24a3,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEsub,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePEsub___24a3,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24a1,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePExpr___24t,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePNSubstL___24a11,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePX,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePX___24a4,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePc,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePc___24a2,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePeq,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePeq___24a4,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePinj,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePinj___24a3,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol___24a1,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ePol___24t,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emk__monpol__list,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emk__monpol__list___24a10,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emon0,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emon__of__pol,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2emon__of__pol___24a4,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__aux___24a9,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2enorm__subst___24a12,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2evmon,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2evmon___24a2,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__polynom_2ezmon___24a2,type,
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thf(tp_cCoq_2esetoid__ring_2eRing__tac_2ering__subst__niter,type,
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thf(tp_cProp,type,
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thf(tp_cProp___24t,type,
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thf(tp_cType,type,
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thf(tp_cType___24t,type,
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thf(tp_c_24False,type,
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thf(tp_c_24Proof,type,
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thf(tp_c_24True,type,
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thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2432068,type,
c_24__case__Coq_2eInit_2eDatatypes_2enat_2432068: $i ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2432068___24a3,type,
c_24__case__Coq_2eInit_2eDatatypes_2enat_2432068___24a3: $i > $i > $i > $i ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2432090,type,
c_24__case__Coq_2eInit_2eDatatypes_2enat_2432090: $i ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2enat_2432090___24a1,type,
c_24__case__Coq_2eInit_2eDatatypes_2enat_2432090___24a1: $i > $i ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416639,type,
c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416639: $i ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416639___24a2,type,
c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416639___24a2: $i > $i > $o ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416654,type,
c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416654: $i ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416654___24a2,type,
c_24__case__Coq_2eInit_2eDatatypes_2eprod_2416654___24a2: $i > $i > $o ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964,type,
c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964: $i ).
thf(tp_c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1,type,
c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1: $i > $o ).
thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2432085,type,
c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2432085: $i ).
thf(tp_c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2432085___24a3,type,
c_24__case__Coq_2eNumbers_2eBinNums_2eZ_2432085___24a3: $i > $i > $i > $i ).
thf(tp_c_24__fix__413__1__add__carry,type,
c_24__fix__413__1__add__carry: $i ).
thf(tp_c_24__fix__413__1__add__carry___24a2,type,
c_24__fix__413__1__add__carry___24a2: $i > $i > $i ).
thf(tp_c_24__lam__14596,type,
c_24__lam__14596: $i ).
thf(tp_c_24__lam__14596___24a11,type,
c_24__lam__14596___24a11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_c_24__lam__14596___24a12,type,
c_24__lam__14596___24a12: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_c_24__lam__18637,type,
c_24__lam__18637: $i ).
thf(tp_c_24__lam__18637___24a1,type,
c_24__lam__18637___24a1: $i > $i ).
thf(tp_c_24__lam__18639,type,
c_24__lam__18639: $i ).
thf(tp_c_24__lam__18639___24a1,type,
c_24__lam__18639___24a1: $i > $i ).
thf(tp_c_24__lam__18639___24a2,type,
c_24__lam__18639___24a2: $i > $i > $i ).
thf(tp_c_24__lam__259,type,
c_24__lam__259: $i ).
thf(tp_c_24__lam__259___24a2,type,
c_24__lam__259___24a2: $i > $i > $i ).
thf(tp_c_24__lam__259___24a3,type,
c_24__lam__259___24a3: $i > $i > $i > $o ).
thf(tp_c_24__lam__300,type,
c_24__lam__300: $i ).
thf(tp_c_24__lam__300___24a2,type,
c_24__lam__300___24a2: $i > $i > $i ).
thf(tp_c_24__lam__300___24a3,type,
c_24__lam__300___24a3: $i > $i > $i > $o ).
thf(tp_c_24__lam__59478,type,
c_24__lam__59478: $i ).
thf(tp_c_24__lam__59478___24a4,type,
c_24__lam__59478___24a4: $i > $i > $i > $i > $i ).
thf(tp_c_24__lam__59478___24a6,type,
c_24__lam__59478___24a6: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_c_24__lam__68508,type,
c_24__lam__68508: $i ).
thf(tp_c_24__lam__68508___24a1,type,
c_24__lam__68508___24a1: $i > $i ).
thf(tp_c_24__lam__68508___24a2,type,
c_24__lam__68508___24a2: $i > $i > $o ).
thf(tp_c_24__let__11__subst__l__14524,type,
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thf(tp_c_24__let__11__subst__l__14524___24a10,type,
c_24__let__11__subst__l__14524___24a10: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_c_24__let__1__s__19231,type,
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thf(tp_c_24__let__1__s__19231___24a1,type,
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thf(tp_c_24__let__2__s__19729,type,
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thf(tp_c_24__let__2__s__19729___24a1,type,
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thf(tp_c_24__prop__13363,type,
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thf(tp_c_24__prop__13363___24a2,type,
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thf(tp_c_24__prop__19713,type,
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thf(tp_c_24__prop__19713___24a2,type,
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thf(tp_c_24__prop__34425,type,
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thf(tp_c_24__prop__34425___24a1,type,
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thf(tp_c_24__prop__34426,type,
c_24__prop__34426: $i ).
thf(tp_c_24__prop__34426___24a1,type,
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thf(tp_c_24__prop__35229,type,
c_24__prop__35229: $i ).
thf(tp_c_24__prop__35229___24a2,type,
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thf(tp_c_24__type__117,type,
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thf(tp_c_24__type__117___24t,type,
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thf(tp_c_24__type__12,type,
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thf(tp_c_24__type__12___24t,type,
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thf(tp_c_24__type__13186,type,
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thf(tp_c_24__type__13186___24t,type,
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thf(tp_c_24__type__13189,type,
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thf(tp_c_24__type__13189___24t,type,
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thf(tp_c_24__type__13192,type,
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thf(tp_c_24__type__13192___24t,type,
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thf(tp_c_24__type__13209,type,
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thf(tp_c_24__type__13209___24t,type,
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thf(tp_c_24__type__13214___24a1,type,
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thf(tp_c_24__type__13214___24t,type,
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thf(tp_c_24__type__13227,type,
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thf(tp_c_24__type__13227___24t,type,
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thf(tp_c_24__type__13229,type,
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thf(tp_c_24__type__13229___24t,type,
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thf(tp_c_24__type__13234___24a1,type,
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thf(tp_c_24__type__13234___24t,type,
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thf(tp_c_24__type__13315,type,
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thf(tp_c_24__type__13315___24t,type,
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thf(tp_c_24__type__13335,type,
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thf(tp_c_24__type__13335___24t,type,
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thf(tp_c_24__type__13340,type,
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thf(tp_c_24__type__13340___24t,type,
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thf(tp_c_24__type__13342,type,
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thf(tp_c_24__type__13342___24t,type,
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thf(tp_c_24__type__13361,type,
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thf(tp_c_24__type__13361___24t,type,
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thf(tp_c_24__type__13636___24a1,type,
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thf(tp_c_24__type__13636___24t,type,
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thf(tp_c_24__type__13657___24a1,type,
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thf(tp_c_24__type__13657___24t,type,
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thf(tp_c_24__type__13849,type,
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thf(tp_c_24__type__13849___24t,type,
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thf(tp_c_24__type__13869,type,
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thf(tp_c_24__type__13869___24t,type,
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thf(tp_c_24__type__13871,type,
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thf(tp_c_24__type__13871___24t,type,
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thf(tp_c_24__type__13874,type,
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thf(tp_c_24__type__13874___24t,type,
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thf(tp_c_24__type__13885,type,
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thf(tp_c_24__type__13885___24t,type,
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thf(tp_c_24__type__14048___24a2,type,
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thf(tp_c_24__type__14048___24t,type,
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thf(tp_c_24__type__14243___24a1,type,
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thf(tp_c_24__type__14243___24t,type,
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thf(tp_c_24__type__14254,type,
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thf(tp_c_24__type__14254___24t,type,
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thf(tp_c_24__type__14503,type,
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thf(tp_c_24__type__14503___24t,type,
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thf(tp_c_24__type__14506,type,
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thf(tp_c_24__type__14506___24t,type,
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thf(tp_c_24__type__14511,type,
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thf(tp_c_24__type__14728,type,
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thf(tp_c_24__type__14728___24t,type,
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thf(tp_c_24__type__14746___24a1,type,
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thf(tp_c_24__type__14746___24t,type,
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thf(tp_c_24__type__14906,type,
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thf(tp_c_24__type__14906___24t,type,
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thf(tp_c_24__type__16386,type,
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thf(tp_c_24__type__16391,type,
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thf(tp_c_24__type__16412,type,
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thf(tp_c_24__type__16412___24t,type,
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thf(tp_c_24__type__16414,type,
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thf(tp_c_24__type__16414___24t,type,
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thf(tp_c_24__type__16422___24a1,type,
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thf(tp_c_24__type__16422___24t,type,
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thf(tp_c_24__type__16816,type,
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thf(tp_c_24__type__16816___24t,type,
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thf(tp_c_24__type__16853,type,
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thf(tp_c_24__type__16853___24t,type,
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thf(tp_c_24__type__18641,type,
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thf(tp_c_24__type__18835,type,
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thf(tp_c_24__type__18835___24t,type,
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thf(tp_c_24__type__18872,type,
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thf(tp_c_24__type__18888___24a3,type,
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thf(tp_c_24__type__18888___24t,type,
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thf(tp_c_24__type__18949,type,
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thf(tp_c_24__type__18953___24a2,type,
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thf(tp_c_24__type__18953___24t,type,
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thf(tp_c_24__type__18982___24a3,type,
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thf(tp_c_24__type__18982___24t,type,
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thf(tp_c_24__type__18997___24a2,type,
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thf(tp_c_24__type__18997___24t,type,
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thf(tp_c_24__type__19090,type,
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thf(tp_c_24__type__19157,type,
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thf(tp_c_24__type__19160,type,
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thf(tp_c_24__type__19160___24t,type,
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thf(tp_c_24__type__19197,type,
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thf(tp_c_24__type__19197___24t,type,
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thf(tp_c_24__type__19204,type,
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thf(tp_c_24__type__19204___24t,type,
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thf(tp_c_24__type__19220,type,
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thf(tp_c_24__type__19220___24t,type,
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thf(tp_c_24__type__19222,type,
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thf(tp_c_24__type__19295,type,
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thf(tp_c_24__type__19298,type,
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thf(tp_c_24__type__19459,type,
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thf(tp_c_24__type__19822,type,
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thf(tp_c_24__type__21994,type,
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thf(tp_c_24__type__22003,type,
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thf(tp_c_24__type__22011,type,
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thf(tp_c_24__type__30,type,
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thf(tp_c_24__type__31347,type,
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thf(tp_c_24__type__31442,type,
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thf(tp_c_24__type__323,type,
c_24__type__323: $i ).
thf(tp_c_24__type__323___24t,type,
c_24__type__323___24t: $i > $o ).
thf(tp_c_24__type__34421___24a2,type,
c_24__type__34421___24a2: $i > $i > $i ).
thf(tp_c_24__type__34421___24t,type,
c_24__type__34421___24t: $i > $i > $i > $o ).
thf(tp_c_24__type__34423,type,
c_24__type__34423: $i ).
thf(tp_c_24__type__34423___24t,type,
c_24__type__34423___24t: $i > $o ).
thf(tp_c_24__type__35232,type,
c_24__type__35232: $i ).
thf(tp_c_24__type__35232___24t,type,
c_24__type__35232___24t: $i > $o ).
thf(tp_c_24__type__376,type,
c_24__type__376: $i ).
thf(tp_c_24__type__376___24t,type,
c_24__type__376___24t: $i > $o ).
thf(tp_c_24__type__392,type,
c_24__type__392: $i ).
thf(tp_c_24__type__392___24t,type,
c_24__type__392___24t: $i > $o ).
thf(tp_c_24__type__399___24a1,type,
c_24__type__399___24a1: $i > $i ).
thf(tp_c_24__type__399___24t,type,
c_24__type__399___24t: $i > $i > $o ).
thf(tp_c_24__type__401,type,
c_24__type__401: $i ).
thf(tp_c_24__type__401___24t,type,
c_24__type__401___24t: $i > $o ).
thf(tp_c_24__type__410,type,
c_24__type__410: $i ).
thf(tp_c_24__type__410___24t,type,
c_24__type__410___24t: $i > $o ).
thf(tp_c_24__type__443,type,
c_24__type__443: $i ).
thf(tp_c_24__type__443___24t,type,
c_24__type__443___24t: $i > $o ).
thf(tp_c_24__type__45,type,
c_24__type__45: $i ).
thf(tp_c_24__type__45___24t,type,
c_24__type__45___24t: $i > $o ).
thf(tp_c_24__type__471,type,
c_24__type__471: $i ).
thf(tp_c_24__type__471___24t,type,
c_24__type__471___24t: $i > $o ).
thf(tp_c_24__type__515,type,
c_24__type__515: $i ).
thf(tp_c_24__type__515___24t,type,
c_24__type__515___24t: $i > $o ).
thf(tp_c_24__type__525,type,
c_24__type__525: $i ).
thf(tp_c_24__type__525___24t,type,
c_24__type__525___24t: $i > $o ).
thf(tp_c_24__type__57851,type,
c_24__type__57851: $i ).
thf(tp_c_24__type__57851___24t,type,
c_24__type__57851___24t: $i > $o ).
thf(tp_c_24__type__59295,type,
c_24__type__59295: $i ).
thf(tp_c_24__type__59295___24t,type,
c_24__type__59295___24t: $i > $o ).
thf(tp_c_24__type__59418,type,
c_24__type__59418: $i ).
thf(tp_c_24__type__59418___24t,type,
c_24__type__59418___24t: $i > $o ).
thf(tp_c_24__type__59522,type,
c_24__type__59522: $i ).
thf(tp_c_24__type__59522___24t,type,
c_24__type__59522___24t: $i > $o ).
thf(tp_c_24__type__59528___24a1,type,
c_24__type__59528___24a1: $i > $i ).
thf(tp_c_24__type__59528___24t,type,
c_24__type__59528___24t: $i > $i > $o ).
thf(tp_c_24__type__59550___24a3,type,
c_24__type__59550___24a3: $i > $i > $i > $i ).
thf(tp_c_24__type__59550___24t,type,
c_24__type__59550___24t: $i > $i > $i > $i > $o ).
thf(tp_c_24__type__59565___24a4,type,
c_24__type__59565___24a4: $i > $i > $i > $i > $i ).
thf(tp_c_24__type__59565___24t,type,
c_24__type__59565___24t: $i > $i > $i > $i > $i > $o ).
thf(tp_c_24__type__59575,type,
c_24__type__59575: $i ).
thf(tp_c_24__type__59575___24t,type,
c_24__type__59575___24t: $i > $o ).
thf(tp_c_24__type__59578___24a1,type,
c_24__type__59578___24a1: $i > $i ).
thf(tp_c_24__type__59578___24t,type,
c_24__type__59578___24t: $i > $i > $o ).
thf(tp_c_24__type__59635,type,
c_24__type__59635: $i ).
thf(tp_c_24__type__59635___24t,type,
c_24__type__59635___24t: $i > $o ).
thf(tp_c_24__type__59653___24a2,type,
c_24__type__59653___24a2: $i > $i > $i ).
thf(tp_c_24__type__59653___24t,type,
c_24__type__59653___24t: $i > $i > $i > $o ).
thf(tp_c_24__type__59662___24a3,type,
c_24__type__59662___24a3: $i > $i > $i > $i ).
thf(tp_c_24__type__59662___24t,type,
c_24__type__59662___24t: $i > $i > $i > $i > $o ).
thf(tp_c_24__type__60221,type,
c_24__type__60221: $i ).
thf(tp_c_24__type__60221___24t,type,
c_24__type__60221___24t: $i > $o ).
thf(tp_c_24__type__60500,type,
c_24__type__60500: $i ).
thf(tp_c_24__type__60500___24t,type,
c_24__type__60500___24t: $i > $o ).
thf(tp_c_24__type__60503,type,
c_24__type__60503: $i ).
thf(tp_c_24__type__60503___24t,type,
c_24__type__60503___24t: $i > $o ).
thf(tp_c_24__type__60511___24a2,type,
c_24__type__60511___24a2: $i > $i > $i ).
thf(tp_c_24__type__60511___24t,type,
c_24__type__60511___24t: $i > $i > $i > $o ).
thf(tp_c_24__type__60515___24a2,type,
c_24__type__60515___24a2: $i > $i > $i ).
thf(tp_c_24__type__60515___24t,type,
c_24__type__60515___24t: $i > $i > $i > $o ).
thf(tp_c_24__type__61,type,
c_24__type__61: $i ).
thf(tp_c_24__type__61___24t,type,
c_24__type__61___24t: $i > $o ).
thf(tp_c_24__type__65103___24a2,type,
c_24__type__65103___24a2: $i > $i > $i ).
thf(tp_c_24__type__65103___24t,type,
c_24__type__65103___24t: $i > $i > $i > $o ).
thf(tp_c_24__type__68505,type,
c_24__type__68505: $i ).
thf(tp_c_24__type__68505___24t,type,
c_24__type__68505___24t: $i > $o ).
thf(tp_c_24__type__68531,type,
c_24__type__68531: $i ).
thf(tp_c_24__type__68531___24t,type,
c_24__type__68531___24t: $i > $o ).
thf(tp_c_24__type__68539___24a1,type,
c_24__type__68539___24a1: $i > $i ).
thf(tp_c_24__type__68539___24t,type,
c_24__type__68539___24t: $i > $i > $o ).
thf(tp_c_24__type__68555,type,
c_24__type__68555: $i ).
thf(tp_c_24__type__68555___24t,type,
c_24__type__68555___24t: $i > $o ).
thf(tp_c_24__type__68565___24a1,type,
c_24__type__68565___24a1: $i > $i ).
thf(tp_c_24__type__68565___24t,type,
c_24__type__68565___24t: $i > $i > $o ).
thf(tp_c_24__type__74,type,
c_24__type__74: $i ).
thf(tp_c_24__type__74___24t,type,
c_24__type__74___24t: $i > $o ).
thf(tp_c_24__type__90___24a2,type,
c_24__type__90___24a2: $i > $i > $i ).
thf(tp_c_24__type__90___24t,type,
c_24__type__90___24t: $i > $i > $i > $o ).
thf(tp_c_24__type__94,type,
c_24__type__94: $i ).
thf(tp_c_24__type__94___24t,type,
c_24__type__94___24t: $i > $o ).
thf(tp_c_24__type__956,type,
c_24__type__956: $i ).
thf(tp_c_24__type__956___24t,type,
c_24__type__956___24t: $i > $o ).
thf(tp_c_24__type__97___24a1,type,
c_24__type__97___24a1: $i > $i ).
thf(tp_c_24__type__97___24t,type,
c_24__type__97___24t: $i > $i > $o ).
thf(tp_c_3c_3d_3e,type,
c_3c_3d_3e: $i ).
thf(tp_c_3d___24a1,type,
c_3d___24a1: $i > $i ).
thf(tp_happ,type,
happ: $i > $i > $i ).
thf(tp_p,type,
p: $i > $o ).
thf(tp_sK1_V0__n,type,
sK1_V0__n: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY703,type,
sK3_SY703: $i > $i ).
thf(tp_sK4_SY1060,type,
sK4_SY1060: $i > $i > $i ).
thf(tp_sK5_SY1022,type,
sK5_SY1022: $i > $i > $i ).
thf(tp_sK6_SY1096,type,
sK6_SY1096: $i > $i > $i ).
thf(tp_sK7_SY1107,type,
sK7_SY1107: $i > $i > $i ).
thf(tp_t,type,
t: $i > $i > $o ).
thf(386,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ? [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
& ( V0__x = V1__y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.omega.OmegaLemmas.new_var') ).
thf(410,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) )
=> ( ( V0__x
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__y ) )
=> ( V0__x = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.omega.OmegaLemmas.OMEGA8') ).
thf(412,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( V1__y = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__x @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__y @ V2__z ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.omega.OmegaLemmas.OMEGA6') ).
thf(413,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__k: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__k )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__k @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( V0__x
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__y @ V2__k ) )
=> ( ( V0__x = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__y = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.omega.OmegaLemmas.OMEGA3') ).
thf(414,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__x @ V1__y ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.omega.OmegaLemmas.OMEGA2') ).
thf(416,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.omega.OmegaLemmas.OMEGA1') ).
thf(434,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zplus_le_reg_r') ).
thf(435,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zplus_le_reg_l') ).
thf(436,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zplus_le_compat_l') ).
thf(438,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Znot_le_gt') ).
thf(439,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Znot_gt_le') ).
thf(440,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_lt_reg_r') ).
thf(441,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V3__q ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_lt_compat2') ).
thf(442,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V3__q ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_lt_compat') ).
thf(443,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_lt_0_reg_r') ).
thf(444,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_lt_0_le_reg_r') ).
thf(445,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_lt_0_le_compat_r') ).
thf(446,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_le_reg_r') ).
thf(447,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_le_compat_r') ).
thf(448,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_le_compat_l') ).
thf(449,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V3__q ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_le_compat') ).
thf(450,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_le_0_reg_r') ).
thf(451,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_gt_reg_r') ).
thf(452,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_gt_0_reg_l') ).
thf(455,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_gt_0_le_compat_r') ).
thf(456,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zmult_gt_0_le_0_compat') ).
thf(458,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zlt_square_simpl') ).
thf(459,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zle_succ_le') ).
thf(460,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zle_minus_le_0') ).
thf(461,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zle_lt_or_eq') ).
thf(462,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zorder.Zle_0_minus_le') ).
thf(472,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Znumtheory.Zis_gcd_0') ).
thf(502,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Znat.Z2Nat.inj_iff') ).
thf(505,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Znat.Z2Nat.inj') ).
thf(515,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Znat.Z2N.inj_iff') ).
thf(519,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Znat.Z2N.inj') ).
thf(530,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__c @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__c @ V0__a ) @ V1__b ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zdiv.Zdiv_mult_le') ).
thf(536,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) @ V2__c )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__c ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zdiv.Zdiv_Zdiv') ).
thf(537,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zdiv.Zdiv_0_r') ).
thf(545,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.Zcomplements.sqr_pos') ).
thf(555,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Zmult_integral_l') ).
thf(556,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Zmult_integral') ).
thf(572,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.succ_le_mono') ).
thf(573,axiom,
! [V0__n1: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n1 )
=> ! [V1__n2: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n2 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__n2 ) )
=> ( V0__n1 = V1__n2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.succ_inj') ).
thf(576,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sub_nonpos_cases') ).
thf(577,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sub_nonneg_cases') ).
thf(578,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sub_le_mono_r') ).
thf(579,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sub_le_mono_l') ).
thf(580,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sub_diag') ).
thf(582,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sub_0_r') ).
thf(584,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_nonneg') ).
thf(585,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_lt_simpl_nonpos') ).
thf(586,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_lt_simpl_nonneg') ).
thf(587,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_lt_mono_nonpos') ).
thf(588,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_lt_mono_nonneg') ).
thf(589,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_le_simpl_nonpos') ).
thf(590,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_le_simpl_nonneg') ).
thf(591,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_le_mono_nonpos') ).
thf(592,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_le_mono_nonneg') ).
thf(594,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrtrem_spec') ).
thf(601,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) )
= V0__a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_square') ).
thf(603,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_nonneg') ).
thf(604,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V1__b ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_mul_above') ).
thf(607,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ V1__b ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_le_square') ).
thf(608,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_le_mono') ).
thf(609,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_le_lin') ).
thf(610,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_eqn0') ).
thf(613,axiom,
( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_up_0') ).
thf(618,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) )
= V0__a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_square') ).
thf(625,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_nonneg') ).
thf(630,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) @ V0__a ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_le_square') ).
thf(631,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_le_mono') ).
thf(632,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_le_lin') ).
thf(635,axiom,
( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sqrt_0') ).
thf(649,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__n ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ V0__a @ V1__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.shiftl_eq_0_iff') ).
thf(652,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sgn_null_iff') ).
thf(653,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sgn_null') ).
thf(655,axiom,
( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.sgn_0') ).
thf(661,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) @ V0__a ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.rem_sign_mul') ).
thf(664,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.rem_nonpos') ).
thf(665,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.rem_nonneg') ).
thf(670,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.rem_0_l') ).
thf(673,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__q )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__q ) )
=> ( V2__q
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.quot_unique_exact') ).
thf(683,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V1__b )
= V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.quot_mul') ).
thf(699,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.pow_nonzero') ).
thf(700,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.pow_nonneg') ).
thf(702,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__c ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b ) @ V2__c ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.pow_mul_r') ).
thf(703,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V2__c )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V2__c ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V1__b @ V2__c ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.pow_mul_l') ).
thf(711,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V2__c ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V1__b @ V2__c ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.pow_le_mono_l') ).
thf(716,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.pow_eq_0') ).
thf(726,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.opp_nonpos_nonneg') ).
thf(727,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.opp_nonneg_nonpos') ).
thf(730,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.opp_le_mono') ).
thf(731,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) )
= V0__n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.opp_involutive') ).
thf(732,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.opp_inj_wd') ).
thf(733,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.opp_inj') ).
thf(735,axiom,
( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.opp_0') ).
thf(740,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.nonpos_pos_cases') ).
thf(741,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.nonpos_nonneg_cases') ).
thf(742,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.nle_gt') ).
thf(743,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
& ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.neq_mul_0') ).
thf(744,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.neg_nonneg_cases') ).
thf(750,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_sub_distr_r') ).
thf(751,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_sub_distr_l') ).
thf(752,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_shuffle3') ).
thf(753,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_shuffle1') ).
thf(754,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_shuffle0') ).
thf(755,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
=> ( V0__n = V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_reg_r') ).
thf(756,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_reg_l') ).
thf(757,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) @ V0__a ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_quot_le') ).
thf(758,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_quot_ge') ).
thf(763,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_pos_pos') ).
thf(764,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_pos_neg') ).
thf(765,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_pos_cancel_r') ).
thf(766,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_opp_r') ).
thf(767,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_opp_opp') ).
thf(768,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_opp_l') ).
thf(769,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_opp_comm') ).
thf(770,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_nonpos_nonpos') ).
thf(771,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_nonpos_nonneg') ).
thf(772,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_nonneg_nonpos') ).
thf(773,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_nonneg_nonneg') ).
thf(774,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_nonneg_cancel_r') ).
thf(775,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_nonneg_cancel_l') ).
thf(776,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_neg_pos') ).
thf(779,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_min_distr_nonneg_r') ).
thf(780,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_min_distr_nonneg_l') ).
thf(783,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_max_distr_nonneg_r') ).
thf(784,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_max_distr_nonneg_l') ).
thf(785,axiom,
! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__n @ V0__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__m @ V0__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_lt_mono_pos_r') ).
thf(786,axiom,
! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V1__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V2__m ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_lt_mono_pos_l') ).
thf(787,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V3__q @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_lt_mono_nonpos') ).
thf(788,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_lt_mono_nonneg') ).
thf(789,axiom,
! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__m @ V0__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__n @ V0__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_lt_mono_neg_r') ).
thf(790,axiom,
! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V2__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V1__n ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_lt_mono_neg_l') ).
thf(791,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_pos_r') ).
thf(792,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_pos_l') ).
thf(793,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_nonpos_r') ).
thf(794,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_nonpos_l') ).
thf(795,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V3__q @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_nonpos') ).
thf(796,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_nonneg_r') ).
thf(797,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_nonneg_l') ).
thf(798,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_nonneg') ).
thf(799,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_neg_r') ).
thf(800,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_le_mono_neg_l') ).
thf(802,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_eq_0_r') ).
thf(803,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_eq_0_l') ).
thf(806,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_comm') ).
thf(807,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_cancel_l') ).
thf(808,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_assoc') ).
thf(809,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_add_distr_r') ).
thf(810,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_add_distr_l') ).
thf(813,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_0_r') ).
thf(814,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mul_0_l') ).
thf(819,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ V0__a @ V1__b ) @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.mod_sign_mul') ).
thf(826,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m )
= V1__m ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.min_r') ).
thf(827,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.min_le') ).
thf(828,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m )
= V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.min_l') ).
thf(829,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.min_glb_r') ).
thf(830,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.min_glb_l') ).
thf(831,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.min_glb') ).
thf(833,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m )
= V1__m ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.max_r') ).
thf(834,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.max_lub_r') ).
thf(835,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.max_lub_l') ).
thf(836,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.max_lub') ).
thf(837,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.max_le') ).
thf(838,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m )
= V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.max_l') ).
thf(840,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V0__a @ V1__b ) ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lxor_nonneg') ).
thf(841,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V0__a @ V1__b )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V1__b @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lxor_comm') ).
thf(844,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_trichotomy') ).
thf(845,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_trans') ).
thf(851,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
<=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_nge') ).
thf(852,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( V0__n != V1__m ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_neq') ).
thf(853,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_mul_0') ).
thf(855,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_le_trans') ).
thf(857,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_le_incl') ).
thf(858,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_irrefl') ).
thf(860,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_ge_cases') ).
thf(863,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_eq_cases') ).
thf(868,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lt_0_mul') ).
thf(876,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_up_nonpos') ).
thf(877,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_up_nonneg') ).
thf(882,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_up_le_mono') ).
thf(883,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_up_le_lin') ).
thf(890,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_nonpos') ).
thf(891,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_nonneg') ).
thf(900,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_le_mono') ).
thf(901,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.log2_le_lin') ).
thf(908,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_trans') ).
thf(910,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_succ_diag_r') ).
thf(911,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_sub_nonneg') ).
thf(913,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_sub_0') ).
thf(914,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_stepr') ).
thf(915,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__z @ V1__y ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_stepl') ).
thf(916,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_refl') ).
thf(918,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_pred_lt') ).
thf(919,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V0__n ) @ V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_pred_l') ).
thf(920,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_ngt') ).
thf(923,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_mul_0') ).
thf(924,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_max_l') ).
thf(925,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_lteq') ).
thf(926,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_lt_trans') ).
thf(928,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_le_succ_r') ).
thf(929,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V3__q @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_le_sub_lt') ).
thf(930,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V0__n ) @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_le_pred') ).
thf(931,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V3__q @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_le_add_le') ).
thf(933,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_gt_cases') ).
thf(934,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_ge_cases') ).
thf(935,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V1__m @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_ge') ).
thf(936,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ? [V3__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__p )
& ( V1__m
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V3__p @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V3__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_exists_sub') ).
thf(937,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_decidable') ).
thf(938,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( V0__n = V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_antisymm') ).
thf(940,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V0__n ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_0_sub') ).
thf(941,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.le_0_mul') ).
thf(946,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ V0__a @ V1__b )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.ldiff_le') ).
thf(949,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__a @ V1__b ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lcm_nonneg') ).
thf(950,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lcm_mul_mono_r_nonneg') ).
thf(951,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lcm_mul_mono_l_nonneg') ).
thf(952,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V0__n )
= V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.lcm_diag_nonneg') ).
thf(956,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V0__a @ V1__b ) ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.land_nonneg') ).
thf(957,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V0__a @ V1__b )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V1__b @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.land_comm') ).
thf(959,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__n @ V1__m )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.ge_le_iff') ).
thf(960,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__n @ V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.ge_le') ).
thf(964,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__a @ V1__b ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.gcd_nonneg') ).
thf(965,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.gcd_mul_mono_r_nonneg') ).
thf(966,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.gcd_mul_mono_l_nonneg') ).
thf(967,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) )
= V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.gcd_mul_diag_l') ).
thf(970,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V0__n )
= V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.gcd_diag_nonneg') ).
thf(971,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.gcd_0_r_nonneg') ).
thf(972,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.gcd_0_l_nonneg') ).
thf(976,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.eq_mul_0_r') ).
thf(977,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.eq_mul_0_l') ).
thf(978,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.eq_mul_0') ).
thf(979,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( V0__n = V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.eq_le_incl') ).
thf(983,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V0__n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.divide_refl') ).
thf(985,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V1__m )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.divide_mul_l') ).
thf(989,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V1__m @ V0__n )
=> ( V0__n = V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.divide_antisym_nonneg') ).
thf(995,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__q )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__q ) )
=> ( V2__q
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.div_unique_exact') ).
thf(1001,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V1__b )
= V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.div_mul') ).
thf(1012,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.div_0_l') ).
thf(1014,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.crossmul_le_addsquare') ).
thf(1020,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ! [V2__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V0__a @ V2__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V1__b @ V2__n ) ) ) )
<=> ( V0__a = V1__b ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.bits_inj_iff\'') ).
thf(1022,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ! [V2__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V0__a @ V2__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V1__b @ V2__n ) ) ) )
=> ( V0__a = V1__b ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.bits_inj\'') ).
thf(1032,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__a @ V1__b ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_square_le') ).
thf(1036,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_shuffle0') ).
thf(1043,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_nonpos_nonpos') ).
thf(1045,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_nonpos_cases') ).
thf(1047,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_nonneg_nonneg') ).
thf(1048,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_nonneg_cases') ).
thf(1054,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_le_mono_r') ).
thf(1055,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_le_mono_l') ).
thf(1056,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_le_mono') ).
thf(1058,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V3__q ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_le_cases') ).
thf(1059,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_comm') ).
thf(1060,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
<=> ( V0__n = V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_cancel_r') ).
thf(1061,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_cancel_l') ).
thf(1062,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_assoc') ).
thf(1065,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_0_r') ).
thf(1066,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= V0__n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.add_0_l') ).
thf(1069,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.abs_nonneg') ).
thf(1071,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n )
= V0__n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.abs_eq') ).
thf(1072,axiom,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.abs_0_iff') ).
thf(1073,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.not_gt_le') ).
thf(1074,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.lt_irrefl') ).
thf(1075,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.le_trans') ).
thf(1076,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x != V1__y )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.le_neq_lt') ).
thf(1077,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.le_eq') ).
thf(1078,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( V0__x = V1__y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.le_antisym') ).
thf(1079,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( V1__y = V0__x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.eq_sym') ).
thf(1080,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_Tac.eq_le') ).
thf(1081,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( ( V0__x != V1__y ) )
=> ( V0__x = V1__y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.not_neq_eq') ).
thf(1082,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.not_gt_le') ).
thf(1083,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.not_ge_lt') ).
thf(1084,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x != V1__y )
=> ( V1__y != V0__x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.neq_sym') ).
thf(1085,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x != V1__y )
=> ( ( V1__y = V2__z )
=> ( V0__x != V2__z ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.neq_eq') ).
thf(1086,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.lt_trans') ).
thf(1087,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.lt_irrefl') ).
thf(1088,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.lt_eq') ).
thf(1089,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.le_trans') ).
thf(1090,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V0__x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.le_refl') ).
thf(1091,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x != V1__y )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.le_neq_lt') ).
thf(1092,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.le_lt_trans') ).
thf(1093,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.le_eq') ).
thf(1094,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( V0__x = V1__y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.le_antisym') ).
thf(1095,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( V1__y = V2__z )
=> ( V0__x = V2__z ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.eq_trans') ).
thf(1096,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( V1__y = V0__x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.eq_sym') ).
thf(1097,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ( V0__x = V0__x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.eq_refl') ).
thf(1098,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( V1__y != V2__z )
=> ( V0__x != V2__z ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.eq_neq') ).
thf(1099,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.eq_lt') ).
thf(1100,axiom,
! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.Private_OrderTac.Tac.eq_le') ).
thf(1211,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 )
& ( V1__b = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ArithCompl.sqr_sum4') ).
thf(1212,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ArithCompl.sqr_sum2') ).
thf(1215,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__b @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ArithCompl.sqr_sub1') ).
thf(1216,axiom,
! [V0__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__z @ V0__z ) ) )
=> ( V0__z != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ArithCompl.sqr_poss') ).
thf(1217,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ArithCompl.sqr_le') ).
thf(1218,axiom,
! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ArithCompl.sqr_ge') ).
thf(1220,axiom,
! [V0__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__z )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__z @ V0__z )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__z = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ArithCompl.sqr_0') ).
thf(1344,axiom,
cCoq_2eNumbers_2eBinNums_2eZ___24t @ cCoq_2eNumbers_2eBinNums_2eZ0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Coq.Numbers.BinNums.Z0') ).
thf(1516,axiom,
! [V0__x: $i,V1__y: $i] :
( ( p @ ( c_24__prop__35229___24a2 @ V0__x @ V1__y ) )
<=> ( V0__x = V1__y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_prop_35229') ).
thf(1517,axiom,
! [Vv__CANONICAL__0: $i] :
( ( p @ ( c_24__prop__34426___24a1 @ Vv__CANONICAL__0 ) )
<=> ( Vv__CANONICAL__0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_prop_34426') ).
thf(1518,axiom,
! [Vv__CANONICAL__0: $i] :
( ( p @ ( c_24__prop__34425___24a1 @ Vv__CANONICAL__0 ) )
<=> ( Vv__CANONICAL__0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_prop_34425') ).
thf(1519,axiom,
! [V0__n: $i,V1__m: $i] :
( ( p @ ( c_24__prop__19713___24a2 @ V0__n @ V1__m ) )
<=> ( V0__n = V1__m ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_prop_19713') ).
thf(1520,axiom,
! [V0__A: $i,V1__B: $i] :
( ( p @ ( c_24__prop__13363___24a2 @ V0__A @ V1__B ) )
<=> ( ( p @ V0__A )
& ( p @ V1__B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_prop_13363') ).
thf(1596,axiom,
! [Vvar__0___24Anonymous__20: $i] :
( cCoq_2eNumbers_2eBinNums_2eZ0
!= ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @ Vvar__0___24Anonymous__20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_discrim_Coq.Numbers.BinNums.Z0$Coq.Numbers.BinNums.Zpos') ).
thf(1665,axiom,
! [V0__x: $i,V1__y: $i] :
( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__x @ V1__y )
<=> ? [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
& ( V1__y
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__z @ V0__x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.ZArith.BinInt.Z.divide') ).
thf(1699,axiom,
! [V0__P: $i] :
( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ V0__P )
<=> ( ( p @ V0__P )
| ~ ( p @ V0__P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.Logic.Decidable.decidable') ).
thf(1726,axiom,
~ ( p @ c_24False ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_COQ_FALSE') ).
thf(1727,axiom,
p @ c_24True,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_COQ_TRUE') ).
thf(1728,conjecture,
! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
thf(1729,negated_conjecture,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1728]) ).
thf(1730,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[1729]) ).
thf(1731,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ? [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
& ( V0__x = V1__y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(1732,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) )
=> ( ( V0__x
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__y ) )
=> ( V0__x = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(1733,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( V1__y = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__x @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__y @ V2__z ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(1734,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__k: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__k )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__k @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( V0__x
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__y @ V2__k ) )
=> ( ( V0__x = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__y = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(1735,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__x @ V1__y ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(1736,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(1737,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(1738,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(1739,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(1740,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(1741,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(1742,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(1743,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V3__q ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(1744,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V3__q ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(1745,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(1746,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(1747,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(1748,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(1749,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(1750,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(1751,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V3__q ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(1752,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(1753,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(1754,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(1755,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(1756,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(1757,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(1758,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(1759,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(1760,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(1761,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(1762,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(1763,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(1764,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[505]) ).
thf(1765,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(1766,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(1767,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__c @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__c @ V0__a ) @ V1__b ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(1768,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) @ V2__c )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__c ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(1769,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[537]) ).
thf(1770,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[545]) ).
thf(1771,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[555]) ).
thf(1772,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[556]) ).
thf(1773,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[572]) ).
thf(1774,plain,
( ( ! [V0__n1: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n1 )
=> ! [V1__n2: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n2 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__n2 ) )
=> ( V0__n1 = V1__n2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[573]) ).
thf(1775,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[576]) ).
thf(1776,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[577]) ).
thf(1777,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[578]) ).
thf(1778,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[579]) ).
thf(1779,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[580]) ).
thf(1780,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(1781,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[584]) ).
thf(1782,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[585]) ).
thf(1783,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[586]) ).
thf(1784,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(1785,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[588]) ).
thf(1786,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[589]) ).
thf(1787,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[590]) ).
thf(1788,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(1789,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(1790,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[594]) ).
thf(1791,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) )
= V0__a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[601]) ).
thf(1792,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[603]) ).
thf(1793,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[604]) ).
thf(1794,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[607]) ).
thf(1795,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[608]) ).
thf(1796,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(1797,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[610]) ).
thf(1798,plain,
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(unfold_def,[status(thm)],[613]) ).
thf(1799,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) )
= V0__a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[618]) ).
thf(1800,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[625]) ).
thf(1801,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) @ V0__a ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[630]) ).
thf(1802,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[631]) ).
thf(1803,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[632]) ).
thf(1804,plain,
( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(unfold_def,[status(thm)],[635]) ).
thf(1805,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__n ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ V0__a @ V1__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[649]) ).
thf(1806,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[652]) ).
thf(1807,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[653]) ).
thf(1808,plain,
( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(unfold_def,[status(thm)],[655]) ).
thf(1809,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) @ V0__a ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[661]) ).
thf(1810,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[664]) ).
thf(1811,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[665]) ).
thf(1812,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[670]) ).
thf(1813,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__q )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__q ) )
=> ( V2__q
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[673]) ).
thf(1814,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V1__b )
= V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[683]) ).
thf(1815,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[699]) ).
thf(1816,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[700]) ).
thf(1817,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__c ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b ) @ V2__c ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[702]) ).
thf(1818,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V2__c )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V2__c ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V1__b @ V2__c ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[703]) ).
thf(1819,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V2__c ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V1__b @ V2__c ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[711]) ).
thf(1820,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[716]) ).
thf(1821,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[726]) ).
thf(1822,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[727]) ).
thf(1823,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[730]) ).
thf(1824,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) )
= V0__n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[731]) ).
thf(1825,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[732]) ).
thf(1826,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[733]) ).
thf(1827,plain,
( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(unfold_def,[status(thm)],[735]) ).
thf(1828,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[740]) ).
thf(1829,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[741]) ).
thf(1830,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[742]) ).
thf(1831,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
& ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[743]) ).
thf(1832,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[744]) ).
thf(1833,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[750]) ).
thf(1834,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[751]) ).
thf(1835,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[752]) ).
thf(1836,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[753]) ).
thf(1837,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[754]) ).
thf(1838,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[755]) ).
thf(1839,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[756]) ).
thf(1840,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) @ V0__a ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[757]) ).
thf(1841,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[758]) ).
thf(1842,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[763]) ).
thf(1843,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[764]) ).
thf(1844,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[765]) ).
thf(1845,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[766]) ).
thf(1846,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[767]) ).
thf(1847,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[768]) ).
thf(1848,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[769]) ).
thf(1849,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[770]) ).
thf(1850,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[771]) ).
thf(1851,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[772]) ).
thf(1852,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[773]) ).
thf(1853,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[774]) ).
thf(1854,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[775]) ).
thf(1855,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[776]) ).
thf(1856,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[779]) ).
thf(1857,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[780]) ).
thf(1858,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[783]) ).
thf(1859,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[784]) ).
thf(1860,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__n @ V0__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__m @ V0__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[785]) ).
thf(1861,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V1__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V2__m ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[786]) ).
thf(1862,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V3__q @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[787]) ).
thf(1863,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[788]) ).
thf(1864,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__m @ V0__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__n @ V0__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[789]) ).
thf(1865,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V2__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V1__n ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[790]) ).
thf(1866,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[791]) ).
thf(1867,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[792]) ).
thf(1868,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[793]) ).
thf(1869,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[794]) ).
thf(1870,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V3__q @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[795]) ).
thf(1871,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[796]) ).
thf(1872,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[797]) ).
thf(1873,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[798]) ).
thf(1874,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[799]) ).
thf(1875,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[800]) ).
thf(1876,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[802]) ).
thf(1877,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[803]) ).
thf(1878,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[806]) ).
thf(1879,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[807]) ).
thf(1880,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[808]) ).
thf(1881,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[809]) ).
thf(1882,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[810]) ).
thf(1883,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[813]) ).
thf(1884,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[814]) ).
thf(1885,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ V0__a @ V1__b ) @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[819]) ).
thf(1886,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m )
= V1__m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[826]) ).
thf(1887,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[827]) ).
thf(1888,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m )
= V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[828]) ).
thf(1889,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[829]) ).
thf(1890,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[830]) ).
thf(1891,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[831]) ).
thf(1892,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m )
= V1__m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[833]) ).
thf(1893,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[834]) ).
thf(1894,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[835]) ).
thf(1895,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[836]) ).
thf(1896,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[837]) ).
thf(1897,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m )
= V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[838]) ).
thf(1898,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V0__a @ V1__b ) ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[840]) ).
thf(1899,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V0__a @ V1__b )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V1__b @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[841]) ).
thf(1900,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[844]) ).
thf(1901,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[845]) ).
thf(1902,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
<=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[851]) ).
thf(1903,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( V0__n != V1__m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[852]) ).
thf(1904,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[853]) ).
thf(1905,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[855]) ).
thf(1906,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[857]) ).
thf(1907,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[858]) ).
thf(1908,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[860]) ).
thf(1909,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[863]) ).
thf(1910,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[868]) ).
thf(1911,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[876]) ).
thf(1912,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[877]) ).
thf(1913,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[882]) ).
thf(1914,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[883]) ).
thf(1915,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[890]) ).
thf(1916,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[891]) ).
thf(1917,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[900]) ).
thf(1918,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[901]) ).
thf(1919,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[908]) ).
thf(1920,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[910]) ).
thf(1921,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[911]) ).
thf(1922,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[913]) ).
thf(1923,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[914]) ).
thf(1924,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__z @ V1__y ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[915]) ).
thf(1925,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[916]) ).
thf(1926,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[918]) ).
thf(1927,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V0__n ) @ V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[919]) ).
thf(1928,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[920]) ).
thf(1929,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[923]) ).
thf(1930,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[924]) ).
thf(1931,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[925]) ).
thf(1932,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[926]) ).
thf(1933,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[928]) ).
thf(1934,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V3__q @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[929]) ).
thf(1935,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V0__n ) @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[930]) ).
thf(1936,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V3__q @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[931]) ).
thf(1937,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[933]) ).
thf(1938,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[934]) ).
thf(1939,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V1__m @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[935]) ).
thf(1940,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ? [V3__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__p )
& ( V1__m
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V3__p @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V3__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[936]) ).
thf(1941,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[937]) ).
thf(1942,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[938]) ).
thf(1943,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V0__n ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[940]) ).
thf(1944,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[941]) ).
thf(1945,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ V0__a @ V1__b )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[946]) ).
thf(1946,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__a @ V1__b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[949]) ).
thf(1947,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[950]) ).
thf(1948,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[951]) ).
thf(1949,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[952]) ).
thf(1950,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V0__a @ V1__b ) ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[956]) ).
thf(1951,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V0__a @ V1__b )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V1__b @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[957]) ).
thf(1952,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__n @ V1__m )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[959]) ).
thf(1953,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__n @ V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[960]) ).
thf(1954,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__a @ V1__b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[964]) ).
thf(1955,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[965]) ).
thf(1956,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[966]) ).
thf(1957,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) )
= V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[967]) ).
thf(1958,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[970]) ).
thf(1959,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[971]) ).
thf(1960,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[972]) ).
thf(1961,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[976]) ).
thf(1962,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[977]) ).
thf(1963,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[978]) ).
thf(1964,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( V0__n = V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[979]) ).
thf(1965,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V0__n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[983]) ).
thf(1966,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V1__m )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[985]) ).
thf(1967,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V1__m @ V0__n )
=> ( V0__n = V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[989]) ).
thf(1968,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__q )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__q ) )
=> ( V2__q
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[995]) ).
thf(1969,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V1__b )
= V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1001]) ).
thf(1970,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1012]) ).
thf(1971,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1014]) ).
thf(1972,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ! [V2__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V0__a @ V2__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V1__b @ V2__n ) ) ) )
<=> ( V0__a = V1__b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1020]) ).
thf(1973,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ! [V2__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V0__a @ V2__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V1__b @ V2__n ) ) ) )
=> ( V0__a = V1__b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1022]) ).
thf(1974,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__a @ V1__b ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1032]) ).
thf(1975,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1036]) ).
thf(1976,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1043]) ).
thf(1977,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1045]) ).
thf(1978,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1047]) ).
thf(1979,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1048]) ).
thf(1980,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1054]) ).
thf(1981,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1055]) ).
thf(1982,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1056]) ).
thf(1983,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V3__q ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1058]) ).
thf(1984,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1059]) ).
thf(1985,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
<=> ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1060]) ).
thf(1986,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1061]) ).
thf(1987,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1062]) ).
thf(1988,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1065]) ).
thf(1989,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= V0__n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1066]) ).
thf(1990,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1069]) ).
thf(1991,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1071]) ).
thf(1992,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1072]) ).
thf(1993,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1073]) ).
thf(1994,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1074]) ).
thf(1995,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1075]) ).
thf(1996,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x != V1__y )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1076]) ).
thf(1997,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1077]) ).
thf(1998,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( V0__x = V1__y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1078]) ).
thf(1999,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( V1__y = V0__x ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1079]) ).
thf(2000,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1080]) ).
thf(2001,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( ( V0__x != V1__y ) )
=> ( V0__x = V1__y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1081]) ).
thf(2002,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1082]) ).
thf(2003,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1083]) ).
thf(2004,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x != V1__y )
=> ( V1__y != V0__x ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1084]) ).
thf(2005,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x != V1__y )
=> ( ( V1__y = V2__z )
=> ( V0__x != V2__z ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1085]) ).
thf(2006,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1086]) ).
thf(2007,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1087]) ).
thf(2008,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1088]) ).
thf(2009,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1089]) ).
thf(2010,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1090]) ).
thf(2011,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x != V1__y )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1091]) ).
thf(2012,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1092]) ).
thf(2013,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1093]) ).
thf(2014,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( V0__x = V1__y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1094]) ).
thf(2015,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( V1__y = V2__z )
=> ( V0__x = V2__z ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1095]) ).
thf(2016,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( V1__y = V0__x ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1096]) ).
thf(2017,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ( V0__x = V0__x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1097]) ).
thf(2018,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( V1__y != V2__z )
=> ( V0__x != V2__z ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1098]) ).
thf(2019,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1099]) ).
thf(2020,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1100]) ).
thf(2021,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 )
& ( V1__b = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1211]) ).
thf(2022,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1212]) ).
thf(2023,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__b @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1215]) ).
thf(2024,plain,
( ( ! [V0__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__z @ V0__z ) ) )
=> ( V0__z != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1216]) ).
thf(2025,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1217]) ).
thf(2026,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1218]) ).
thf(2027,plain,
( ( ! [V0__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__z )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__z @ V0__z )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__z = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1220]) ).
thf(2028,plain,
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(unfold_def,[status(thm)],[1344]) ).
thf(2029,plain,
( ( ! [V0__x: $i,V1__y: $i] :
( ( p @ ( c_24__prop__35229___24a2 @ V0__x @ V1__y ) )
<=> ( V0__x = V1__y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1516]) ).
thf(2030,plain,
( ( ! [Vv__CANONICAL__0: $i] :
( ( p @ ( c_24__prop__34426___24a1 @ Vv__CANONICAL__0 ) )
<=> ( Vv__CANONICAL__0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1517]) ).
thf(2031,plain,
( ( ! [Vv__CANONICAL__0: $i] :
( ( p @ ( c_24__prop__34425___24a1 @ Vv__CANONICAL__0 ) )
<=> ( Vv__CANONICAL__0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1518]) ).
thf(2032,plain,
( ( ! [V0__n: $i,V1__m: $i] :
( ( p @ ( c_24__prop__19713___24a2 @ V0__n @ V1__m ) )
<=> ( V0__n = V1__m ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1519]) ).
thf(2033,plain,
( ( ! [V0__A: $i,V1__B: $i] :
( ( p @ ( c_24__prop__13363___24a2 @ V0__A @ V1__B ) )
<=> ( ( p @ V0__A )
& ( p @ V1__B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1520]) ).
thf(2034,plain,
( ( ! [Vvar__0___24Anonymous__20: $i] :
( cCoq_2eNumbers_2eBinNums_2eZ0
!= ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @ Vvar__0___24Anonymous__20 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1596]) ).
thf(2035,plain,
( ( ! [V0__x: $i,V1__y: $i] :
( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__x @ V1__y )
<=> ? [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
& ( V1__y
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__z @ V0__x ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1665]) ).
thf(2036,plain,
( ( ! [V0__P: $i] :
( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ V0__P )
<=> ( ( p @ V0__P )
| ~ ( p @ V0__P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1699]) ).
thf(2037,plain,
( ( ~ ( p @ c_24False ) )
= $true ),
inference(unfold_def,[status(thm)],[1726]) ).
thf(2038,plain,
( ( p @ c_24True )
= $true ),
inference(unfold_def,[status(thm)],[1727]) ).
thf(2039,plain,
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ sK1_V0__n )
=> ! [SY661: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY661 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY661 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY661 @ SY661 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY661 @ sK1_V0__n ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1730]) ).
thf(2040,plain,
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ sK1_V0__n )
= $true ),
inference(standard_cnf,[status(thm)],[2039]) ).
thf(2041,plain,
( ( ! [SY661: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY661 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY661 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY661 @ SY661 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY661 @ sK1_V0__n ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2039]) ).
thf(2042,plain,
( ( ~ ! [SY661: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY661 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY661 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY661 @ SY661 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY661 @ sK1_V0__n ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[2041]) ).
thf(2043,plain,
( ( p @ c_24True )
= $true ),
inference(copy,[status(thm)],[2038]) ).
thf(2044,plain,
( ( ~ ( p @ c_24False ) )
= $true ),
inference(copy,[status(thm)],[2037]) ).
thf(2045,plain,
( ( ! [V0__P: $i] :
( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ V0__P )
<=> ( ( p @ V0__P )
| ~ ( p @ V0__P ) ) ) )
= $true ),
inference(copy,[status(thm)],[2036]) ).
thf(2046,plain,
( ( ! [V0__x: $i,V1__y: $i] :
( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__x @ V1__y )
<=> ? [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
& ( V1__y
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__z @ V0__x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2035]) ).
thf(2047,plain,
( ( ! [Vvar__0___24Anonymous__20: $i] :
( cCoq_2eNumbers_2eBinNums_2eZ0
!= ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @ Vvar__0___24Anonymous__20 ) ) )
= $true ),
inference(copy,[status(thm)],[2034]) ).
thf(2048,plain,
( ( ! [V0__A: $i,V1__B: $i] :
( ( p @ ( c_24__prop__13363___24a2 @ V0__A @ V1__B ) )
<=> ( ( p @ V0__A )
& ( p @ V1__B ) ) ) )
= $true ),
inference(copy,[status(thm)],[2033]) ).
thf(2049,plain,
( ( ! [V0__n: $i,V1__m: $i] :
( ( p @ ( c_24__prop__19713___24a2 @ V0__n @ V1__m ) )
<=> ( V0__n = V1__m ) ) )
= $true ),
inference(copy,[status(thm)],[2032]) ).
thf(2050,plain,
( ( ! [Vv__CANONICAL__0: $i] :
( ( p @ ( c_24__prop__34425___24a1 @ Vv__CANONICAL__0 ) )
<=> ( Vv__CANONICAL__0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(copy,[status(thm)],[2031]) ).
thf(2051,plain,
( ( ! [Vv__CANONICAL__0: $i] :
( ( p @ ( c_24__prop__34426___24a1 @ Vv__CANONICAL__0 ) )
<=> ( Vv__CANONICAL__0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(copy,[status(thm)],[2030]) ).
thf(2052,plain,
( ( ! [V0__x: $i,V1__y: $i] :
( ( p @ ( c_24__prop__35229___24a2 @ V0__x @ V1__y ) )
<=> ( V0__x = V1__y ) ) )
= $true ),
inference(copy,[status(thm)],[2029]) ).
thf(2053,plain,
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(copy,[status(thm)],[2028]) ).
thf(2054,plain,
( ( ! [V0__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__z )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__z @ V0__z )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__z = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[2027]) ).
thf(2055,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2026]) ).
thf(2056,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2025]) ).
thf(2057,plain,
( ( ! [V0__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__z @ V0__z ) ) )
=> ( V0__z != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[2024]) ).
thf(2058,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__b @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2023]) ).
thf(2059,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2022]) ).
thf(2060,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 )
& ( V1__b = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2021]) ).
thf(2061,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2020]) ).
thf(2062,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2019]) ).
thf(2063,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( V1__y != V2__z )
=> ( V0__x != V2__z ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2018]) ).
thf(2064,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ( V0__x = V0__x ) ) )
= $true ),
inference(copy,[status(thm)],[2017]) ).
thf(2065,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( V1__y = V0__x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2016]) ).
thf(2066,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( V1__y = V2__z )
=> ( V0__x = V2__z ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2015]) ).
thf(2067,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( V0__x = V1__y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2014]) ).
thf(2068,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2013]) ).
thf(2069,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2012]) ).
thf(2070,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x != V1__y )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2011]) ).
thf(2071,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(copy,[status(thm)],[2010]) ).
thf(2072,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2009]) ).
thf(2073,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2008]) ).
thf(2074,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(copy,[status(thm)],[2007]) ).
thf(2075,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2006]) ).
thf(2076,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x != V1__y )
=> ( ( V1__y = V2__z )
=> ( V0__x != V2__z ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2005]) ).
thf(2077,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x != V1__y )
=> ( V1__y != V0__x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2004]) ).
thf(2078,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2003]) ).
thf(2079,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2002]) ).
thf(2080,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( ( V0__x != V1__y ) )
=> ( V0__x = V1__y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2001]) ).
thf(2081,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2000]) ).
thf(2082,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( V1__y = V0__x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1999]) ).
thf(2083,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V0__x ) )
=> ( V0__x = V1__y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1998]) ).
thf(2084,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1997]) ).
thf(2085,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x != V1__y )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V1__y ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1996]) ).
thf(2086,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__y @ V2__z ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1995]) ).
thf(2087,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(copy,[status(thm)],[1994]) ).
thf(2088,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__y @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1993]) ).
thf(2089,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1992]) ).
thf(2090,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1991]) ).
thf(2091,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1990]) ).
thf(2092,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= V0__n ) ) )
= $true ),
inference(copy,[status(thm)],[1989]) ).
thf(2093,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ) )
= $true ),
inference(copy,[status(thm)],[1988]) ).
thf(2094,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1987]) ).
thf(2095,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1986]) ).
thf(2096,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
<=> ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1985]) ).
thf(2097,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1984]) ).
thf(2098,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V3__q ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1983]) ).
thf(2099,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1982]) ).
thf(2100,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1981]) ).
thf(2101,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1980]) ).
thf(2102,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1979]) ).
thf(2103,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1978]) ).
thf(2104,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1977]) ).
thf(2105,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1976]) ).
thf(2106,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1975]) ).
thf(2107,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__a @ V1__b ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1974]) ).
thf(2108,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ! [V2__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V0__a @ V2__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V1__b @ V2__n ) ) ) )
=> ( V0__a = V1__b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1973]) ).
thf(2109,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ! [V2__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V0__a @ V2__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ V1__b @ V2__n ) ) ) )
<=> ( V0__a = V1__b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1972]) ).
thf(2110,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1971]) ).
thf(2111,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1970]) ).
thf(2112,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V1__b )
= V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1969]) ).
thf(2113,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__q )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__q ) )
=> ( V2__q
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1968]) ).
thf(2114,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V1__m @ V0__n )
=> ( V0__n = V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1967]) ).
thf(2115,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V1__m )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1966]) ).
thf(2116,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ V0__n @ V0__n ) ) )
= $true ),
inference(copy,[status(thm)],[1965]) ).
thf(2117,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( V0__n = V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1964]) ).
thf(2118,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1963]) ).
thf(2119,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1962]) ).
thf(2120,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1961]) ).
thf(2121,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1960]) ).
thf(2122,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1959]) ).
thf(2123,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1958]) ).
thf(2124,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) )
= V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1957]) ).
thf(2125,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1956]) ).
thf(2126,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1955]) ).
thf(2127,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ V0__a @ V1__b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1954]) ).
thf(2128,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__n @ V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1953]) ).
thf(2129,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V0__n @ V1__m )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1952]) ).
thf(2130,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V0__a @ V1__b )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V1__b @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1951]) ).
thf(2131,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ V0__a @ V1__b ) ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1950]) ).
thf(2132,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V0__n )
= V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1949]) ).
thf(2133,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1948]) ).
thf(2134,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1947]) ).
thf(2135,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ V0__a @ V1__b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1946]) ).
thf(2136,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ V0__a @ V1__b )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1945]) ).
thf(2137,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1944]) ).
thf(2138,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V0__n ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1943]) ).
thf(2139,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1942]) ).
thf(2140,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1941]) ).
thf(2141,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ? [V3__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__p )
& ( V1__m
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V3__p @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V3__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1940]) ).
thf(2142,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ V1__m @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1939]) ).
thf(2143,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1938]) ).
thf(2144,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1937]) ).
thf(2145,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V3__q @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1936]) ).
thf(2146,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V0__n ) @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1935]) ).
thf(2147,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V3__q @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1934]) ).
thf(2148,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1933]) ).
thf(2149,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1932]) ).
thf(2150,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1931]) ).
thf(2151,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1930]) ).
thf(2152,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1929]) ).
thf(2153,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1928]) ).
thf(2154,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V0__n ) @ V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1927]) ).
thf(2155,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1926]) ).
thf(2156,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1925]) ).
thf(2157,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V0__x = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__z @ V1__y ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1924]) ).
thf(2158,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V1__y ) )
=> ( ( V1__y = V2__z )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__x @ V2__z ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1923]) ).
thf(2159,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1922]) ).
thf(2160,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1921]) ).
thf(2161,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1920]) ).
thf(2162,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1919]) ).
thf(2163,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1918]) ).
thf(2164,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1917]) ).
thf(2165,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1916]) ).
thf(2166,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1915]) ).
thf(2167,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1914]) ).
thf(2168,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1913]) ).
thf(2169,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1912]) ).
thf(2170,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1911]) ).
thf(2171,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1910]) ).
thf(2172,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1909]) ).
thf(2173,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1908]) ).
thf(2174,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__x @ V0__x ) ) ) )
= $true ),
inference(copy,[status(thm)],[1907]) ).
thf(2175,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1906]) ).
thf(2176,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1905]) ).
thf(2177,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1904]) ).
thf(2178,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( V0__n != V1__m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1903]) ).
thf(2179,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
<=> ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1902]) ).
thf(2180,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1901]) ).
thf(2181,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1900]) ).
thf(2182,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V0__a @ V1__b )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V1__b @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1899]) ).
thf(2183,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ V0__a @ V1__b ) ) )
<=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1898]) ).
thf(2184,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m )
= V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1897]) ).
thf(2185,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1896]) ).
thf(2186,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1895]) ).
thf(2187,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1894]) ).
thf(2188,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1893]) ).
thf(2189,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m )
= V1__m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1892]) ).
thf(2190,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1891]) ).
thf(2191,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1890]) ).
thf(2192,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1889]) ).
thf(2193,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m )
= V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1888]) ).
thf(2194,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1887]) ).
thf(2195,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m )
= V1__m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1886]) ).
thf(2196,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ V0__a @ V1__b ) @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1885]) ).
thf(2197,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(copy,[status(thm)],[1884]) ).
thf(2198,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(copy,[status(thm)],[1883]) ).
thf(2199,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1882]) ).
thf(2200,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1881]) ).
thf(2201,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1880]) ).
thf(2202,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1879]) ).
thf(2203,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1878]) ).
thf(2204,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1877]) ).
thf(2205,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1876]) ).
thf(2206,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1875]) ).
thf(2207,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1874]) ).
thf(2208,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1873]) ).
thf(2209,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1872]) ).
thf(2210,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1871]) ).
thf(2211,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V3__q @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1870]) ).
thf(2212,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1869]) ).
thf(2213,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1868]) ).
thf(2214,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1867]) ).
thf(2215,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1866]) ).
thf(2216,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V2__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V1__n ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1865]) ).
thf(2217,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__m @ V0__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__n @ V0__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1864]) ).
thf(2218,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1863]) ).
thf(2219,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V3__q @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V2__p @ V3__q ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1862]) ).
thf(2220,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V1__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__p @ V2__m ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1861]) ).
thf(2221,plain,
( ( ! [V0__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__p )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ! [V2__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__n @ V2__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__n @ V0__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__m @ V0__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1860]) ).
thf(2222,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1859]) ).
thf(2223,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1858]) ).
thf(2224,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1857]) ).
thf(2225,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ V0__n @ V1__m ) @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1856]) ).
thf(2226,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1855]) ).
thf(2227,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1854]) ).
thf(2228,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1853]) ).
thf(2229,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1852]) ).
thf(2230,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1851]) ).
thf(2231,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1850]) ).
thf(2232,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1849]) ).
thf(2233,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1848]) ).
thf(2234,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ V1__m )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1847]) ).
thf(2235,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1846]) ).
thf(2236,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1845]) ).
thf(2237,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1844]) ).
thf(2238,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1843]) ).
thf(2239,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1842]) ).
thf(2240,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1841]) ).
thf(2241,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) @ V0__a ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1840]) ).
thf(2242,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1839]) ).
thf(2243,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( V2__p != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1838]) ).
thf(2244,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1837]) ).
thf(2245,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V3__q ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1836]) ).
thf(2246,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1835]) ).
thf(2247,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V2__p ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1834]) ).
thf(2248,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ V2__p )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1833]) ).
thf(2249,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1832]) ).
thf(2250,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
& ( V1__m != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1831]) ).
thf(2251,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1830]) ).
thf(2252,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1829]) ).
thf(2253,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1828]) ).
thf(2254,plain,
( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(copy,[status(thm)],[1827]) ).
thf(2255,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1826]) ).
thf(2256,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1825]) ).
thf(2257,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) )
= V0__n ) ) )
= $true ),
inference(copy,[status(thm)],[1824]) ).
thf(2258,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1823]) ).
thf(2259,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1822]) ).
thf(2260,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V0__n ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1821]) ).
thf(2261,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1820]) ).
thf(2262,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V2__c ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V1__b @ V2__c ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1819]) ).
thf(2263,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V2__c )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V2__c ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V1__b @ V2__c ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1818]) ).
thf(2264,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__c ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b ) @ V2__c ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1817]) ).
thf(2265,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1816]) ).
thf(2266,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ V0__a @ V1__b )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1815]) ).
thf(2267,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) @ V1__b )
= V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1814]) ).
thf(2268,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__q )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__a
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__q ) )
=> ( V2__q
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1813]) ).
thf(2269,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( V0__a != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1812]) ).
thf(2270,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1811]) ).
thf(2271,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1810]) ).
thf(2272,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( V1__b != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ V0__a @ V1__b ) @ V0__a ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1809]) ).
thf(2273,plain,
( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(copy,[status(thm)],[1808]) ).
thf(2274,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1807]) ).
thf(2275,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1806]) ).
thf(2276,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__n ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ V0__a @ V1__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
<=> ( V0__a = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1805]) ).
thf(2277,plain,
( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(copy,[status(thm)],[1804]) ).
thf(2278,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1803]) ).
thf(2279,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1802]) ).
thf(2280,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) @ V0__a ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__b @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1801]) ).
thf(2281,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1800]) ).
thf(2282,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) )
= V0__a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1799]) ).
thf(2283,plain,
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ),
inference(copy,[status(thm)],[1798]) ).
thf(2284,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1797]) ).
thf(2285,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1796]) ).
thf(2286,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V1__b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1795]) ).
thf(2287,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V1__b ) ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ V1__b ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1794]) ).
thf(2288,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V1__b ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1793]) ).
thf(2289,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1792]) ).
thf(2290,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) )
= V0__a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1791]) ).
thf(2291,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ V0__n ) ) ) )
= $true ),
inference(copy,[status(thm)],[1790]) ).
thf(2292,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1789]) ).
thf(2293,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1788]) ).
thf(2294,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1787]) ).
thf(2295,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1786]) ).
thf(2296,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1785]) ).
thf(2297,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1784]) ).
thf(2298,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1783]) ).
thf(2299,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1782]) ).
thf(2300,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__a @ V0__a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1781]) ).
thf(2301,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= V0__n ) ) )
= $true ),
inference(copy,[status(thm)],[1780]) ).
thf(2302,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(copy,[status(thm)],[1779]) ).
thf(2303,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V2__p @ V0__n ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1778]) ).
thf(2304,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1777]) ).
thf(2305,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1776]) ).
thf(2306,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1775]) ).
thf(2307,plain,
( ( ! [V0__n1: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n1 )
=> ! [V1__n2: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__n2 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__n2 ) )
=> ( V0__n1 = V1__n2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1774]) ).
thf(2308,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
<=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1773]) ).
thf(2309,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( V0__n = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1772]) ).
thf(2310,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( V0__n != cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__m = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1771]) ).
thf(2311,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(copy,[status(thm)],[1770]) ).
thf(2312,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(copy,[status(thm)],[1769]) ).
thf(2313,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) @ V2__c )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__b @ V2__c ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1768]) ).
thf(2314,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ! [V1__b: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__b )
=> ! [V2__c: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__c )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__b ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__c ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__c @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ V0__a @ V1__b ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__c @ V0__a ) @ V1__b ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1767]) ).
thf(2315,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1766]) ).
thf(2316,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1765]) ).
thf(2317,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V1__m ) )
=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1764]) ).
thf(2318,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V0__n )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ V1__m ) )
<=> ( V0__n = V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1763]) ).
thf(2319,plain,
( ( ! [V0__a: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__a )
=> ( cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3 @ V0__a @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__a ) ) )
= $true ),
inference(copy,[status(thm)],[1762]) ).
thf(2320,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1761]) ).
thf(2321,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) )
| ( V0__n = V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1760]) ).
thf(2322,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V0__n ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1759]) ).
thf(2323,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ V0__n ) @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1758]) ).
thf(2324,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1757]) ).
thf(2325,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1756]) ).
thf(2326,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1755]) ).
thf(2327,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V1__m @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1754]) ).
thf(2328,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1753]) ).
thf(2329,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1752]) ).
thf(2330,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V1__m @ V3__q ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1751]) ).
thf(2331,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1750]) ).
thf(2332,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1749]) ).
thf(2333,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__p @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1748]) ).
thf(2334,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1747]) ).
thf(2335,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1746]) ).
thf(2336,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1745]) ).
thf(2337,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V2__p ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V3__q ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1744]) ).
thf(2338,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ! [V3__q: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V3__q )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__n ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V2__p ) ) )
=> ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__m ) )
& ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V1__m @ V3__q ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V1__m ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V2__p @ V3__q ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1743]) ).
thf(2339,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V2__p ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ V0__n @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1742]) ).
thf(2340,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1741]) ).
thf(2341,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V0__n @ V1__m ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1740]) ).
thf(2342,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1739]) ).
thf(2343,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V0__n ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V2__p @ V1__m ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1738]) ).
thf(2344,plain,
( ( ! [V0__n: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__n )
=> ! [V1__m: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__m )
=> ! [V2__p: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__p )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__n @ V2__p ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V1__m @ V2__p ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ V0__n @ V1__m ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1737]) ).
thf(2345,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( V0__x = V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1736]) ).
thf(2346,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__x @ V1__y ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1735]) ).
thf(2347,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__k: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__k )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ V2__k @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
=> ( ( V0__x
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__y @ V2__k ) )
=> ( ( V0__x = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( V1__y = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1734]) ).
thf(2348,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ! [V2__z: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V2__z )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( V1__y = cCoq_2eNumbers_2eBinNums_2eZ0 )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ V0__x @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ V1__y @ V2__z ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1733]) ).
thf(2349,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ! [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V0__x ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ V1__y ) )
=> ( ( V0__x
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ V1__y ) )
=> ( V0__x = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1732]) ).
thf(2350,plain,
( ( ! [V0__x: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V0__x )
=> ? [V1__y: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ V1__y )
& ( V0__x = V1__y ) ) ) )
= $true ),
inference(copy,[status(thm)],[1731]) ).
thf(2351,plain,
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ sK1_V0__n )
= $true ),
inference(copy,[status(thm)],[2040]) ).
thf(2352,plain,
( ( ~ ! [SY661: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY661 )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY661 ) )
=> ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY661 @ SY661 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
=> ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY661 @ sK1_V0__n ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2042]) ).
thf(2353,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2190]) ).
thf(2354,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2238]) ).
thf(2355,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2307]) ).
thf(2356,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SX0
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
| ( SX2
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2113]) ).
thf(2357,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SX1 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2120]) ).
thf(2358,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2151]) ).
thf(2359,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX0 != SX1 )
| ( SX1 != SX2 )
| ( SX0 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2066]) ).
thf(2360,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2279]) ).
thf(2361,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2101]) ).
thf(2362,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2079]) ).
thf(2363,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2083]) ).
thf(2364,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2174]) ).
thf(2365,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2092]) ).
thf(2366,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2203]) ).
thf(2367,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2124]) ).
thf(2368,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2119]) ).
thf(2369,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2249]) ).
thf(2370,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2304]) ).
thf(2371,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2229]) ).
thf(2372,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2247]) ).
thf(2373,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2215]) ).
thf(2374,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 ) @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2194]) ).
thf(2375,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2185]) ).
thf(2376,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 ) @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2188]) ).
thf(2377,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2088]) ).
thf(2378,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( SX1 != SX2 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2068]) ).
thf(2379,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2339]) ).
thf(2380,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2191]) ).
thf(2381,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 ) @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2187]) ).
thf(2382,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2107]) ).
thf(2383,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2350]) ).
thf(2384,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX0 != SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2061]) ).
thf(2385,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2344]) ).
thf(2386,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2214]) ).
thf(2387,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__34425___24a1 @ SX0 ) )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( c_24__prop__34425___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2050]) ).
thf(2388,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2143]) ).
thf(2389,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SX0 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2089]) ).
thf(2390,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SX0 @ SX1 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SX0 @ SX1 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2240]) ).
thf(2391,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2184]) ).
thf(2392,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2146]) ).
thf(2393,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2278]) ).
thf(2394,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2263]) ).
thf(2395,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2221]) ).
thf(2396,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2228]) ).
thf(2397,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2139]) ).
thf(2398,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX0 != SX1 ) )
| ( SX1 != SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2077]) ).
thf(2399,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SX0 @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2128]) ).
thf(2400,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2201]) ).
thf(2401,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2134]) ).
thf(2402,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2136]) ).
thf(2403,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2286]) ).
thf(2404,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2266]) ).
thf(2405,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2253]) ).
thf(2406,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX3 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2145]) ).
thf(2407,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2167]) ).
thf(2408,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2246]) ).
thf(2409,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2227]) ).
thf(2410,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2297]) ).
thf(2411,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2137]) ).
thf(2412,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2236]) ).
thf(2413,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2321]) ).
thf(2414,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX1 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX1 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2138]) ).
thf(2415,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SX0 @ SX1 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SX0 @ SX1 ) ) @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2241]) ).
thf(2416,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2178]) ).
thf(2417,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX3 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2147]) ).
thf(2418,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX2 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX2 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2096]) ).
thf(2419,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2181]) ).
thf(2420,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2220]) ).
thf(2421,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2166]) ).
thf(2422,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX3 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2098]) ).
thf(2423,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2175]) ).
thf(2424,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( ( SX0 != SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2085]) ).
thf(2425,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX2 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2106]) ).
thf(2426,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2093]) ).
thf(2427,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SX0
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
| ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX1 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2347]) ).
thf(2428,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2102]) ).
thf(2429,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2341]) ).
thf(2430,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX1 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2310]) ).
thf(2431,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2251]) ).
thf(2432,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2271]) ).
thf(2433,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2078]) ).
thf(2434,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ( SX2 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) )
| ( SX0 = SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2242]) ).
thf(2435,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SX0 @ SX1 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2196]) ).
thf(2436,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2172]) ).
thf(2437,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2281]) ).
thf(2438,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2186]) ).
thf(2439,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ sK1_V0__n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2352]) ).
thf(2440,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__35229___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( p @ ( c_24__prop__35229___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2052]) ).
thf(2441,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2346]) ).
thf(2442,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2149]) ).
thf(2443,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( SX1 != SX2 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2084]) ).
thf(2444,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SX0 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2275]) ).
thf(2445,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SX0 @ SX0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2123]) ).
thf(2446,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SX0 @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SX1 @ SX2 ) ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2108]) ).
thf(2447,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SX0 @ SX1 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2314]) ).
thf(2448,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2274]) ).
thf(2449,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( SX0 != SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2082]) ).
thf(2450,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2231]) ).
thf(2451,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2302]) ).
thf(2452,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2216]) ).
thf(2453,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__34426___24a1 @ SX0 ) )
| ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( c_24__prop__34426___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2051]) ).
thf(2454,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2296]) ).
thf(2455,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( SX0
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2349]) ).
thf(2456,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2168]) ).
thf(2457,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2125]) ).
thf(2458,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2206]) ).
thf(2459,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2311]) ).
thf(2460,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2295]) ).
thf(2461,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2315]) ).
thf(2462,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SX0 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2318]) ).
thf(2463,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SX0 @ SX1 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2114]) ).
thf(2464,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2335]) ).
thf(2465,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2209]) ).
thf(2466,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2086]) ).
thf(2467,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2265]) ).
thf(2468,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2204]) ).
thf(2469,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2140]) ).
thf(2470,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2171]) ).
thf(2471,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( SX1 != SX2 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2158]) ).
thf(2472,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2156]) ).
thf(2473,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2333]) ).
thf(2474,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2232]) ).
thf(2475,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) @ SX0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2160]) ).
thf(2476,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2210]) ).
thf(2477,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2121]) ).
thf(2478,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX1 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX1 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2118]) ).
thf(2479,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( SX0 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2064]) ).
thf(2480,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2055]) ).
thf(2481,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2122]) ).
thf(2482,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX1 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2308]) ).
thf(2483,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX3 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2330]) ).
thf(2484,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2069]) ).
thf(2485,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX3 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2208]) ).
thf(2486,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2260]) ).
thf(2487,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SX0
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
| ( SX2
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2268]) ).
thf(2488,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX3 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2245]) ).
thf(2489,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2306]) ).
thf(2490,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2199]) ).
thf(2491,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2074]) ).
thf(2492,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX1 != SX2 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2073]) ).
thf(2493,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2094]) ).
thf(2494,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2329]) ).
thf(2495,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2262]) ).
thf(2496,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2163]) ).
thf(2497,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2060]) ).
thf(2498,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX0 ) @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2323]) ).
thf(2499,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2317]) ).
thf(2500,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2104]) ).
thf(2501,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SX0 @ SX1 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2115]) ).
thf(2502,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2269]) ).
thf(2503,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SX0 @ SX0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2132]) ).
thf(2504,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX3 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2338]) ).
thf(2505,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2292]) ).
thf(2506,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2170]) ).
thf(2507,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2222]) ).
thf(2508,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2135]) ).
thf(2509,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2169]) ).
thf(2510,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2154]) ).
thf(2511,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ( SX0 != SX1 ) )
| ( SX1 != SX2 )
| ( SX0 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2076]) ).
thf(2512,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2282]) ).
thf(2513,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2248]) ).
thf(2514,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2177]) ).
thf(2515,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2180]) ).
thf(2516,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) ) )
| ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2057]) ).
thf(2517,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2116]) ).
thf(2518,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SX0 )
| ( p @ SX0 )
| ~ ( p @ SX0 ) )
| ~ ( ~ ( ( p @ SX0 )
| ~ ( p @ SX0 ) )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2045]) ).
thf(2519,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2244]) ).
thf(2520,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2200]) ).
thf(2521,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2235]) ).
thf(2522,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2197]) ).
thf(2523,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2237]) ).
thf(2524,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX2 @ SX3 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2218]) ).
thf(2525,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( SX0 != SX2 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2157]) ).
thf(2526,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2289]) ).
thf(2527,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2327]) ).
thf(2528,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2225]) ).
thf(2529,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2193]) ).
thf(2530,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX1
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX0 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2141]) ).
thf(2531,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SX0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2090]) ).
thf(2532,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2155]) ).
thf(2533,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2091]) ).
thf(2534,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2348]) ).
thf(2535,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2300]) ).
thf(2536,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( SX0 != SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2345]) ).
thf(2537,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2261]) ).
thf(2538,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX3 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX2 @ SX3 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX3 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2219]) ).
thf(2539,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( ( SX0 != SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2070]) ).
thf(2540,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2159]) ).
thf(2541,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SX0 @ SX1 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2183]) ).
thf(2542,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ( SX2 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2202]) ).
thf(2543,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2133]) ).
thf(2544,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2127]) ).
thf(2545,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2176]) ).
thf(2546,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2298]) ).
thf(2547,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2332]) ).
thf(2548,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2142]) ).
thf(2549,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2299]) ).
thf(2550,plain,
( ( ! [SX0: $i] :
( cCoq_2eNumbers_2eBinNums_2eZ0
!= ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2047]) ).
thf(2551,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX0 ) @ SX1 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX0 ) @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2287]) ).
thf(2552,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2305]) ).
thf(2553,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2150]) ).
thf(2554,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2252]) ).
thf(2555,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2340]) ).
thf(2556,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2319]) ).
thf(2557,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) @ SX1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2234]) ).
thf(2558,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2165]) ).
thf(2559,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ~ ( ( SX0 != SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2080]) ).
thf(2560,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX3 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2099]) ).
thf(2561,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2148]) ).
thf(2562,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX1 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2309]) ).
thf(2563,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2195]) ).
thf(2564,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SX0 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2316]) ).
thf(2565,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2054]) ).
thf(2566,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2189]) ).
thf(2567,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2343]) ).
thf(2568,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2105]) ).
thf(2569,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SX0 @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SX1 @ SX2 ) ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SX0 @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2109]) ).
thf(2570,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2256]) ).
thf(2571,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2320]) ).
thf(2572,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2111]) ).
thf(2573,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2312]) ).
thf(2574,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ( SX2 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
| ( SX0 = SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2243]) ).
thf(2575,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2259]) ).
thf(2576,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2270]) ).
thf(2577,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX3 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX3 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX3 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2211]) ).
thf(2578,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2126]) ).
thf(2579,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2226]) ).
thf(2580,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2179]) ).
thf(2581,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX2 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX2 @ SX0 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX2 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX2 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2303]) ).
thf(2582,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2212]) ).
thf(2583,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2173]) ).
thf(2584,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX0 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2095]) ).
thf(2585,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2207]) ).
thf(2586,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2258]) ).
thf(2587,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2152]) ).
thf(2588,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2213]) ).
thf(2589,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SX0 @ SX1 ) @ SX2 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2313]) ).
thf(2590,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX0 != SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2081]) ).
thf(2591,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ~ ( ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2250]) ).
thf(2592,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ SX1 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2267]) ).
thf(2593,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX1
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX1
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2046]) ).
thf(2594,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2131]) ).
thf(2595,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2087]) ).
thf(2596,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2264]) ).
thf(2597,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SX0 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2280]) ).
thf(2598,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2217]) ).
thf(2599,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2103]) ).
thf(2600,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2100]) ).
thf(2601,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2164]) ).
thf(2602,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SX0 @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2223]) ).
thf(2603,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2325]) ).
thf(2604,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SX1 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2205]) ).
thf(2605,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2058]) ).
thf(2606,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2326]) ).
thf(2607,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) @ SX1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2233]) ).
thf(2608,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2110]) ).
thf(2609,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2230]) ).
thf(2610,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX0 @ SX1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2097]) ).
thf(2611,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ SX1 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2112]) ).
thf(2612,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2239]) ).
thf(2613,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ( SX1 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SX0 @ SX1 ) @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2272]) ).
thf(2614,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__19713___24a2 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( p @ ( c_24__prop__19713___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2049]) ).
thf(2615,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2290]) ).
thf(2616,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2336]) ).
thf(2617,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SX0 @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2129]) ).
thf(2618,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2257]) ).
thf(2619,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2161]) ).
thf(2620,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2075]) ).
thf(2621,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SX2 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2342]) ).
thf(2622,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2059]) ).
thf(2623,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SX0 @ SX1 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SX0 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SX0 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SX0 @ SX1 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2276]) ).
thf(2624,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2224]) ).
thf(2625,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__13363___24a2 @ SX0 @ SX1 ) )
| ~ ( ~ ( p @ SX0 )
| ~ ( p @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( p @ SX0 )
| ~ ( p @ SX1 ) )
| ( p @ ( c_24__prop__13363___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2048]) ).
thf(2626,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2331]) ).
thf(2627,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2144]) ).
thf(2628,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX0 != SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2062]) ).
thf(2629,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2322]) ).
thf(2630,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SX0 @ SX1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2182]) ).
thf(2631,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2056]) ).
thf(2632,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2291]) ).
thf(2633,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX0 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2288]) ).
thf(2634,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( SX0 != SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2065]) ).
thf(2635,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX2 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2328]) ).
thf(2636,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ! [SX3: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX3 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX0 @ SX2 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX3 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX2 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2337]) ).
thf(2637,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX2 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2334]) ).
thf(2638,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2198]) ).
thf(2639,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2067]) ).
thf(2640,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2153]) ).
thf(2641,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2072]) ).
thf(2642,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2324]) ).
thf(2643,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SX0 @ SX1 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2130]) ).
thf(2644,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2284]) ).
thf(2645,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2285]) ).
thf(2646,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2301]) ).
thf(2647,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX2 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2162]) ).
thf(2648,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX1 @ SX0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2293]) ).
thf(2649,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX0 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2255]) ).
thf(2650,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ( SX0 != SX1 )
| ~ ( ( SX1 != SX2 ) )
| ( SX0 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2063]) ).
thf(2651,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX1 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2294]) ).
thf(2652,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ! [SX2: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX2 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SX0 @ SX1 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2192]) ).
thf(2653,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ! [SX1: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX1 )
| ( SX0 != SX1 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2117]) ).
thf(2654,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2071]) ).
thf(2655,plain,
( ( p @ c_24False )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2044]) ).
thf(2656,plain,
! [SV1: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
| ! [SY662: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY662 )
| ! [SY663: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY663 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ SY662 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SY662 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2353]) ).
thf(2657,plain,
! [SV2: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
| ! [SY664: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY664 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY664 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SY664 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2354]) ).
thf(2658,plain,
! [SV3: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 )
| ! [SY665: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY665 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY665 ) )
| ( SV3 = SY665 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2355]) ).
thf(2659,plain,
! [SV4: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
| ! [SY666: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY666 )
| ! [SY667: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY667 )
| ~ ( ( SY666 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY666 @ SY667 ) )
| ( SY667
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SY666 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2356]) ).
thf(2660,plain,
! [SV5: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
| ! [SY668: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY668 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SY668 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SY668 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2357]) ).
thf(2661,plain,
! [SV6: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV6 )
| ! [SY669: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY669 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV6 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV6 @ SY669 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2358]) ).
thf(2662,plain,
! [SV7: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
| ! [SY670: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY670 )
| ! [SY671: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY671 )
| ( SV7 != SY670 )
| ( SY670 != SY671 )
| ( SV7 = SY671 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2359]) ).
thf(2663,plain,
! [SV8: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 )
| ! [SY672: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY672 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SY672 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SY672 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2360]) ).
thf(2664,plain,
! [SV9: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
| ! [SY673: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY673 )
| ! [SY674: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY674 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SY673 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY674 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY673 @ SY674 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY674 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY673 @ SY674 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SY673 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2361]) ).
thf(2665,plain,
! [SV10: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
| ! [SY675: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY675 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY675 @ SV10 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SY675 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2362]) ).
thf(2666,plain,
! [SV11: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
| ! [SY676: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY676 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SY676 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY676 @ SV11 ) )
| ( SV11 = SY676 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2363]) ).
thf(2667,plain,
! [SV12: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV12 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV12 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2668,plain,
! [SV13: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV13 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV13 )
= SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2365]) ).
thf(2669,plain,
! [SV14: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV14 )
| ! [SY677: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY677 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV14 @ SY677 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY677 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2366]) ).
thf(2670,plain,
! [SV15: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 )
| ! [SY678: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY678 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SY678 ) )
= SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2671,plain,
! [SV16: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
| ! [SY679: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY679 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SY679 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SY679 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2368]) ).
thf(2672,plain,
! [SV17: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV17 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV17 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2369]) ).
thf(2673,plain,
! [SV18: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
| ! [SY680: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY680 )
| ! [SY681: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY681 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SY680 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY681 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY680 @ SY681 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY681 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY680 @ SY681 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SY680 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2674,plain,
! [SV19: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
| ! [SY682: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY682 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY682 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SY682 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2371]) ).
thf(2675,plain,
! [SV20: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
| ! [SY683: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY683 )
| ! [SY684: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY684 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY683 @ SY684 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY683 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY684 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2372]) ).
thf(2676,plain,
! [SV21: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
| ! [SY685: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY685 )
| ! [SY686: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY686 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY686 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SY685 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY686 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY685 @ SY686 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY686 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY685 @ SY686 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SY685 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2373]) ).
thf(2677,plain,
! [SV22: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
| ! [SY687: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY687 )
| ! [SY688: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY688 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SY687 ) @ SY688 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SY688 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY687 @ SY688 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2678,plain,
! [SV23: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
| ! [SY689: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY689 )
| ! [SY690: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY690 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SY689 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ SY689 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2679,plain,
! [SV24: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
| ! [SY691: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY691 )
| ! [SY692: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY692 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SY691 ) @ SY692 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY691 @ SY692 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2376]) ).
thf(2680,plain,
! [SV25: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
| ! [SY693: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY693 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY693 @ SV25 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SY693 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2377]) ).
thf(2681,plain,
! [SV26: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
| ! [SY694: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY694 )
| ! [SY695: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY695 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY694 ) )
| ( SY694 != SY695 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY695 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2378]) ).
thf(2682,plain,
! [SV27: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
| ! [SY696: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY696 )
| ! [SY697: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY697 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY697 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SY697 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY696 @ SY697 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SY696 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2379]) ).
thf(2683,plain,
! [SV28: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
| ! [SY698: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY698 )
| ! [SY699: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY699 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY699 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SY698 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY699 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2684,plain,
! [SV29: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
| ! [SY700: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY700 )
| ! [SY701: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY701 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SY700 ) @ SY701 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SY701 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2381]) ).
thf(2685,plain,
! [SV30: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
| ! [SY702: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY702 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY702 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY702 @ SY702 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SY702 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SY702 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2382]) ).
thf(2686,plain,
! [SV31: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
| ~ ! [SY703: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY703 )
| ( SV31 != SY703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2383]) ).
thf(2687,plain,
! [SV32: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
| ! [SY704: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY704 )
| ! [SY705: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY705 )
| ( SV32 != SY704 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY704 @ SY705 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SY705 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2384]) ).
thf(2688,plain,
! [SV33: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
| ! [SY706: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY706 )
| ! [SY707: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY707 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SY707 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY706 @ SY707 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SY706 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2385]) ).
thf(2689,plain,
! [SV34: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
| ! [SY708: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY708 )
| ! [SY709: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY709 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY709 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SY708 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SY708 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SY708 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SY708 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2690,plain,
! [SV35: $i] :
( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__34425___24a1 @ SV35 ) )
| ( SV35 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV35 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( c_24__prop__34425___24a1 @ SV35 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2387]) ).
thf(2691,plain,
! [SV36: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV36 )
| ! [SY710: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY710 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV36 @ SY710 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY710 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2388]) ).
thf(2692,plain,
! [SV37: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV37 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2693,plain,
! [SV38: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
| ! [SY711: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY711 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY711 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY711 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SY711 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY711 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SY711 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2390]) ).
thf(2694,plain,
! [SV39: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 )
| ! [SY712: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY712 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY712 @ SV39 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SY712 )
= SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2391]) ).
thf(2695,plain,
! [SV40: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 )
| ! [SY713: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY713 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SY713 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SY713 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2696,plain,
! [SV41: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV41 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV41 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV41 ) @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2697,plain,
! [SV42: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
| ! [SY714: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY714 )
| ! [SY715: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY715 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SY714 ) @ SY715 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SY715 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SY714 @ SY715 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2394]) ).
thf(2698,plain,
! [SV43: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
| ! [SY716: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY716 )
| ! [SY717: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY717 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY716 @ SY717 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY716 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY717 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY716 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY717 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY716 @ SY717 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2395]) ).
thf(2699,plain,
! [SV44: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
| ! [SY718: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY718 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY718 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SY718 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SY718 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2700,plain,
! [SV45: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
| ! [SY719: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY719 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SY719 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY719 @ SV45 ) )
| ( SV45 = SY719 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2397]) ).
thf(2701,plain,
! [SV46: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
| ! [SY720: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY720 )
| ~ ( ( SV46 != SY720 ) )
| ( SY720 != SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2702,plain,
! [SV47: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 )
| ! [SY721: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY721 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SY721 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY721 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2703,plain,
! [SV48: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
| ! [SY722: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY722 )
| ! [SY723: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY723 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY722 @ SY723 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SY722 ) @ SY723 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2704,plain,
! [SV49: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
| ! [SY724: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY724 )
| ! [SY725: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY725 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY725 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SY725 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY724 @ SY725 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SY724 ) @ SY725 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2705,plain,
! [SV50: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
| ! [SY726: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY726 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY726 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SY726 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SY726 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2706,plain,
! [SV51: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 )
| ! [SY727: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY727 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SY727 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SY727 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2707,plain,
! [SV52: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
| ! [SY728: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY728 )
| ~ ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY728 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SY728 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2404]) ).
thf(2708,plain,
! [SV53: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV53 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV53 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2405]) ).
thf(2709,plain,
! [SV54: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
| ! [SY729: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY729 )
| ! [SY730: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY730 )
| ! [SY731: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY731 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SY729 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY730 @ SY729 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY731 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY730 @ SY731 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2710,plain,
! [SV55: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV55 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV55 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV55 ) @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2407]) ).
thf(2711,plain,
! [SV56: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
| ! [SY732: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY732 )
| ! [SY733: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY733 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY732 @ SY733 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY732 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SY733 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2408]) ).
thf(2712,plain,
! [SV57: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
| ! [SY734: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY734 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SY734 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY734 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY734 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SY734 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2409]) ).
thf(2713,plain,
! [SV58: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
| ! [SY735: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY735 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY735 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY735 @ SY735 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2714,plain,
! [SV59: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
| ! [SY736: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY736 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SY736 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY736 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY736 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2715,plain,
! [SV60: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV60 )
| ! [SY737: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY737 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY737 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ SY737 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2412]) ).
thf(2716,plain,
! [SV61: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
| ! [SY738: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY738 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SY738 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SY738 ) )
| ( SV61 = SY738 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2413]) ).
thf(2717,plain,
! [SV62: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
| ! [SY739: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY739 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY739 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SY739 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SY739 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY739 @ SV62 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2718,plain,
! [SV63: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
| ! [SY740: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY740 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
| ~ ( ( SY740 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY740 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SY740 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY740 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SY740 ) ) @ SV63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2719,plain,
! [SV64: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
| ! [SY741: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY741 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SY741 ) )
| ( SV64 != SY741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2720,plain,
! [SV65: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
| ! [SY742: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY742 )
| ! [SY743: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY743 )
| ! [SY744: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY744 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SY742 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY743 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY744 @ SY742 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY743 @ SY744 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2721,plain,
! [SV66: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
| ! [SY745: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY745 )
| ! [SY746: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY746 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY746 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY745 @ SY746 ) )
| ( SV66 = SY745 ) )
| ~ ( ( SV66 != SY745 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY746 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY745 @ SY746 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2722,plain,
! [SV67: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 )
| ! [SY747: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY747 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SY747 ) )
| ( SV67 = SY747 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY747 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2723,plain,
! [SV68: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
| ! [SY748: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY748 )
| ! [SY749: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY749 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY748 @ SY749 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY748 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY749 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY748 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY749 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY748 @ SY749 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2420]) ).
thf(2724,plain,
! [SV69: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV69 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV69 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV69 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2421]) ).
thf(2725,plain,
! [SV70: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
| ! [SY750: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY750 )
| ! [SY751: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY751 )
| ! [SY752: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY752 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SY750 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY751 @ SY752 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SY751 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY750 @ SY752 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2726,plain,
! [SV71: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 )
| ! [SY753: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY753 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SY753 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SY753 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2727,plain,
! [SV72: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
| ! [SY754: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY754 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SY754 ) )
| ~ ( ( SV72 != SY754 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SY754 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2424]) ).
thf(2728,plain,
! [SV73: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
| ! [SY755: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY755 )
| ! [SY756: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY756 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY755 ) @ SY756 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY756 ) @ SY755 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2425]) ).
thf(2729,plain,
! [SV74: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV74 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV74 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2426]) ).
thf(2730,plain,
! [SV75: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
| ! [SY757: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY757 )
| ! [SY758: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY758 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY758 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY757 @ SY758 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY757 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2427]) ).
thf(2731,plain,
! [SV76: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
| ! [SY759: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY759 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SY759 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY759 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2428]) ).
thf(2732,plain,
! [SV77: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
| ! [SY760: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY760 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SY760 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SY760 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2733,plain,
! [SV78: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
| ! [SY761: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY761 )
| ~ ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY761 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY761 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2430]) ).
thf(2734,plain,
! [SV79: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
| ! [SY762: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY762 )
| ~ ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SY762 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY762 @ SV79 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY762 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SY762 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2431]) ).
thf(2735,plain,
! [SV80: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
| ! [SY763: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY763 )
| ~ ( ( SY763 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SY763 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2432]) ).
thf(2736,plain,
! [SV81: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
| ! [SY764: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY764 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY764 @ SV81 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SY764 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2737,plain,
! [SV82: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
| ! [SY765: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY765 )
| ! [SY766: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY766 )
| ~ ( ( SY766 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY766 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY766 @ SY765 ) )
| ( SV82 = SY765 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2738,plain,
! [SV83: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
| ! [SY767: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY767 )
| ~ ( ( SY767 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SY767 ) @ SY767 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2435]) ).
thf(2739,plain,
! [SV84: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
| ! [SY768: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY768 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SY768 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SY768 ) )
| ( SV84 = SY768 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SY768 ) )
| ( SV84 = SY768 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SY768 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2436]) ).
thf(2740,plain,
! [SV85: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV85 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2437]) ).
thf(2741,plain,
! [SV86: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
| ! [SY769: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY769 )
| ! [SY770: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY770 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SY770 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY769 @ SY770 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SY769 ) @ SY770 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2438]) ).
thf(2742,plain,
( ( ! [SX0: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SX0 @ SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SX0 @ sK1_V0__n ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2439]) ).
thf(2743,plain,
! [SV87: $i] :
( ( ! [SY771: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SY771 ) )
| ( SV87 = SY771 ) )
| ~ ( ( SV87 != SY771 )
| ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SY771 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2744,plain,
! [SV88: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
| ! [SY772: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY772 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY772 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SY772 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2441]) ).
thf(2745,plain,
! [SV89: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
| ! [SY773: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY773 )
| ! [SY774: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY774 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SY773 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY773 @ SY774 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SY774 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2442]) ).
thf(2746,plain,
! [SV90: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
| ! [SY775: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY775 )
| ! [SY776: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY776 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY775 ) )
| ( SY775 != SY776 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY776 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2443]) ).
thf(2747,plain,
! [SV91: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV91 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2444]) ).
thf(2748,plain,
! [SV92: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV92 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV92 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV92 @ SV92 )
= SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2445]) ).
thf(2749,plain,
! [SV93: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
| ! [SY777: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY777 )
| ~ ! [SY778: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY778 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY778 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY778 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY777 @ SY778 ) ) )
| ( SV93 = SY777 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2446]) ).
thf(2750,plain,
! [SV94: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
| ! [SY779: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY779 )
| ! [SY780: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY780 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY779 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY780 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY780 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SY779 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY780 @ SV94 ) @ SY779 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2447]) ).
thf(2751,plain,
! [SV95: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV95 )
| ( SV95 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV95 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2448]) ).
thf(2752,plain,
! [SV96: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 )
| ! [SY781: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY781 )
| ( SV96 != SY781 )
| ( SY781 = SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2449]) ).
thf(2753,plain,
! [SV97: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
| ! [SY782: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY782 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY782 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SY782 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2754,plain,
! [SV98: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV98 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV98 @ SV98 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2451]) ).
thf(2755,plain,
! [SV99: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
| ! [SY783: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY783 )
| ! [SY784: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY784 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY783 @ SY784 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY784 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY783 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY784 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY783 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY783 @ SY784 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2452]) ).
thf(2756,plain,
! [SV100: $i] :
( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
| ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( c_24__prop__34426___24a1 @ SV100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2453]) ).
thf(2757,plain,
! [SV101: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
| ! [SY785: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY785 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SY785 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY785 @ SY785 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2454]) ).
thf(2758,plain,
! [SV102: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
| ! [SY786: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY786 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY786 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY786 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2455]) ).
thf(2759,plain,
! [SV103: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 )
| ! [SY787: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY787 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SY787 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SY787 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2456]) ).
thf(2760,plain,
! [SV104: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
| ! [SY788: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY788 )
| ! [SY789: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY789 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY789 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ SY788 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SY788 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2457]) ).
thf(2761,plain,
! [SV105: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
| ! [SY790: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY790 )
| ! [SY791: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY791 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY791 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SY790 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SY790 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SY790 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SY790 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2458]) ).
thf(2762,plain,
! [SV106: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV106 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV106 @ SV106 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2459]) ).
thf(2763,plain,
! [SV107: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
| ! [SY792: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY792 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY792 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY792 @ SY792 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY792 @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2460]) ).
thf(2764,plain,
! [SV108: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
| ! [SY793: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY793 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY793 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY793 ) )
| ( SV108 = SY793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2461]) ).
thf(2765,plain,
! [SV109: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
| ! [SY794: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY794 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY794 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY794 ) )
| ( SV109 = SY794 ) )
| ~ ( ( SV109 != SY794 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY794 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2462]) ).
thf(2766,plain,
! [SV110: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
| ! [SY795: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY795 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY795 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SY795 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SY795 @ SV110 )
| ( SV110 = SY795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2463]) ).
thf(2767,plain,
! [SV111: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
| ! [SY796: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY796 )
| ! [SY797: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY797 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY797 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SY797 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY796 @ SY797 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SY796 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2464]) ).
thf(2768,plain,
! [SV112: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
| ! [SY798: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY798 )
| ! [SY799: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY799 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY799 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SY798 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY799 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY799 @ SY798 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2769,plain,
! [SV113: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
| ! [SY800: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY800 )
| ! [SY801: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY801 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY800 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY800 @ SY801 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY801 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2466]) ).
thf(2770,plain,
! [SV114: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 )
| ! [SY802: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY802 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SY802 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2467]) ).
thf(2771,plain,
! [SV115: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
| ! [SY803: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY803 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SY803 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SY803 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2772,plain,
! [SV116: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV116 )
| ! [SY804: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY804 )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV116 @ SY804 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2469]) ).
thf(2773,plain,
! [SV117: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
| ! [SY805: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY805 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY805 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY805 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SY805 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2470]) ).
thf(2774,plain,
! [SV118: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
| ! [SY806: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY806 )
| ! [SY807: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY807 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY806 ) )
| ( SY806 != SY807 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY807 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2471]) ).
thf(2775,plain,
! [SV119: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV119 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV119 @ SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2472]) ).
thf(2776,plain,
! [SV120: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
| ! [SY808: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY808 )
| ! [SY809: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY809 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY809 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SY809 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY808 @ SY809 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SY808 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2473]) ).
thf(2777,plain,
! [SV121: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
| ! [SY810: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY810 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY810 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SY810 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2474]) ).
thf(2778,plain,
! [SV122: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
| ! [SY811: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY811 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY811 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SY811 ) @ SV122 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SY811 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY811 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2779,plain,
! [SV123: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
| ! [SY812: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY812 )
| ! [SY813: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY813 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY813 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SY812 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SY813 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY812 @ SY813 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2476]) ).
thf(2780,plain,
! [SV124: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV124 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 )
= SV124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2477]) ).
thf(2781,plain,
! [SV125: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
| ! [SY814: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY814 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SY814 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY814 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY814 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SY814 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2478]) ).
thf(2782,plain,
! [SV126: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV126 )
| ( SV126 = SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2783,plain,
! [SV127: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
| ! [SY815: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY815 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SY815 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY815 @ SY815 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2784,plain,
! [SV128: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV128 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV128 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV128 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2481]) ).
thf(2785,plain,
! [SV129: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
| ! [SY816: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY816 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SY816 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY816 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY816 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SY816 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2786,plain,
! [SV130: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
| ! [SY817: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY817 )
| ! [SY818: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY818 )
| ! [SY819: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY819 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SY818 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY817 @ SY819 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY817 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SY817 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY818 @ SY819 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2483]) ).
thf(2787,plain,
! [SV131: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
| ! [SY820: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY820 )
| ! [SY821: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY821 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SY820 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY820 @ SY821 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SY821 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2484]) ).
thf(2788,plain,
! [SV132: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
| ! [SY822: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY822 )
| ! [SY823: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY823 )
| ! [SY824: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY824 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SY822 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY823 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY823 @ SY824 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SY823 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY822 @ SY824 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2485]) ).
thf(2789,plain,
! [SV133: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2486]) ).
thf(2790,plain,
! [SV134: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
| ! [SY825: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY825 )
| ! [SY826: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY826 )
| ~ ( ( SY825 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY825 @ SY826 ) )
| ( SY826
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SY825 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2487]) ).
thf(2791,plain,
! [SV135: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
| ! [SY827: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY827 )
| ! [SY828: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY828 )
| ! [SY829: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY829 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY827 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY828 @ SY829 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY828 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY827 @ SY829 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2488]) ).
thf(2792,plain,
! [SV136: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
| ! [SY830: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY830 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SY830 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY830 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2489]) ).
thf(2793,plain,
! [SV137: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
| ! [SY831: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY831 )
| ! [SY832: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY832 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY831 @ SY832 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY831 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY832 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2490]) ).
thf(2794,plain,
! [SV138: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV138 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV138 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2491]) ).
thf(2795,plain,
! [SV139: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
| ! [SY833: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY833 )
| ! [SY834: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY834 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY833 ) )
| ( SY833 != SY834 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY834 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(2796,plain,
! [SV140: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
| ! [SY835: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY835 )
| ! [SY836: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY836 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY835 @ SY836 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SY835 ) @ SY836 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2493]) ).
thf(2797,plain,
! [SV141: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
| ! [SY837: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY837 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY837 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY837 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2494]) ).
thf(2798,plain,
! [SV142: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
| ! [SY838: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY838 )
| ! [SY839: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY839 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SY838 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SY839 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SY838 @ SY839 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2495]) ).
thf(2799,plain,
! [SV143: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV143 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV143 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV143 ) @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2496]) ).
thf(2800,plain,
! [SV144: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
| ! [SY840: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY840 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY840 @ SY840 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY840 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2497]) ).
thf(2801,plain,
! [SV145: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 )
| ! [SY841: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY841 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SY841 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SY841 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2802,plain,
! [SV146: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
| ! [SY842: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY842 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY842 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY842 ) )
| ( SV146 = SY842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2499]) ).
thf(2803,plain,
! [SV147: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
| ! [SY843: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY843 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SY843 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY843 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2804,plain,
! [SV148: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
| ! [SY844: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY844 )
| ! [SY845: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY845 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SY844 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY844 @ SY845 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(2805,plain,
! [SV149: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV149 )
| ~ ( ( SV149 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV149 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2502]) ).
thf(2806,plain,
! [SV150: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV150 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV150 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV150 @ SV150 )
= SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2807,plain,
! [SV151: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
| ! [SY846: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY846 )
| ! [SY847: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY847 )
| ! [SY848: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY848 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SY847 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY846 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY846 @ SY848 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SY846 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY847 @ SY848 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(2808,plain,
! [SV152: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
| ! [SY849: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY849 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SY849 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY849 @ SY849 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2505]) ).
thf(2809,plain,
! [SV153: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV153 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV153 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV153 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2506]) ).
thf(2810,plain,
! [SV154: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
| ! [SY850: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY850 )
| ! [SY851: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY851 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY851 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ SY850 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SY850 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2507]) ).
thf(2811,plain,
! [SV155: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV155 )
| ! [SY852: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY852 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV155 @ SY852 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2508]) ).
thf(2812,plain,
! [SV156: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV156 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2509]) ).
thf(2813,plain,
! [SV157: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV157 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV157 ) @ SV157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2510]) ).
thf(2814,plain,
! [SV158: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
| ! [SY853: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY853 )
| ! [SY854: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY854 )
| ~ ( ( SV158 != SY853 ) )
| ( SY853 != SY854 )
| ( SV158 != SY854 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2511]) ).
thf(2815,plain,
! [SV159: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV159 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV159 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV159 @ SV159 ) )
= SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2512]) ).
thf(2816,plain,
! [SV160: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
| ! [SY855: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY855 )
| ! [SY856: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY856 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SY855 ) @ SY856 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SY856 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY855 @ SY856 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2513]) ).
thf(2817,plain,
! [SV161: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
| ! [SY857: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY857 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SY857 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY857 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY857 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY857 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY857 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SY857 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2514]) ).
thf(2818,plain,
! [SV162: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
| ! [SY858: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY858 )
| ! [SY859: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY859 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY858 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY858 @ SY859 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY859 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(2819,plain,
! [SV163: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV163 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV163 @ SV163 ) ) )
| ( SV163 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2820,plain,
! [SV164: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV164 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV164 @ SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2517]) ).
thf(2821,plain,
! [SV165: $i] :
( ( ~ ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
| ( p @ SV165 )
| ~ ( p @ SV165 ) )
| ~ ( ~ ( ( p @ SV165 )
| ~ ( p @ SV165 ) )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2518]) ).
thf(2822,plain,
! [SV166: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
| ! [SY860: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY860 )
| ! [SY861: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY861 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY860 ) @ SY861 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY861 ) @ SY860 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2519]) ).
thf(2823,plain,
! [SV167: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
| ! [SY862: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY862 )
| ! [SY863: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY863 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SY862 ) @ SY863 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SY863 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY862 @ SY863 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2520]) ).
thf(2824,plain,
! [SV168: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV168 )
| ! [SY864: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY864 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV168 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY864 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV168 @ SY864 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2521]) ).
thf(2825,plain,
! [SV169: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV169 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV169 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2522]) ).
thf(2826,plain,
! [SV170: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
| ! [SY865: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY865 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY865 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SY865 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SY865 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2523]) ).
thf(2827,plain,
! [SV171: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
| ! [SY866: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY866 )
| ! [SY867: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY867 )
| ! [SY868: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY868 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SY866 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY867 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY867 @ SY868 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SY867 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY866 @ SY868 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2524]) ).
thf(2828,plain,
! [SV172: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
| ! [SY869: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY869 )
| ! [SY870: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY870 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SY869 ) )
| ( SV172 != SY870 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY870 @ SY869 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2525]) ).
thf(2829,plain,
! [SV173: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV173 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2526]) ).
thf(2830,plain,
! [SV174: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
| ! [SY871: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY871 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SY871 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY871 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2831,plain,
! [SV175: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
| ! [SY872: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY872 )
| ! [SY873: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY873 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY873 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SY873 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY872 @ SY873 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SY872 ) @ SY873 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2528]) ).
thf(2832,plain,
! [SV176: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 )
| ! [SY874: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY874 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SY874 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SY874 )
= SV176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2833,plain,
! [SV177: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
| ! [SY875: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY875 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SY875 ) )
| ~ ! [SY876: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY876 )
| ( SY875
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY876 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY876 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2834,plain,
! [SV178: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV178 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV178 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV178 )
= SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(2835,plain,
! [SV179: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 )
| ! [SY877: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY877 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SY877 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SY877 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2836,plain,
! [SV180: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV180 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV180 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(2837,plain,
! [SV181: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
| ! [SY878: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY878 )
| ! [SY879: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY879 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SY878 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY878 @ SY879 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(2838,plain,
! [SV182: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV182 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV182 @ SV182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2535]) ).
thf(2839,plain,
! [SV183: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
| ! [SY880: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY880 )
| ( SV183 != SY880 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY880 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2840,plain,
! [SV184: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
| ! [SY881: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY881 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY881 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SY881 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2537]) ).
thf(2841,plain,
! [SV185: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
| ! [SY882: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY882 )
| ! [SY883: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY883 )
| ! [SY884: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY884 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY882 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SY882 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY884 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY883 @ SY884 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY882 @ SY884 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SY883 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2538]) ).
thf(2842,plain,
! [SV186: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
| ! [SY885: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY885 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SY885 ) )
| ~ ( ( SV186 != SY885 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SY885 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2539]) ).
thf(2843,plain,
! [SV187: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
| ! [SY886: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY886 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SY886 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SY886 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SY886 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SY886 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2540]) ).
thf(2844,plain,
! [SV188: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
| ! [SY887: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY887 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SY887 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SY887 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2541]) ).
thf(2845,plain,
! [SV189: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
| ! [SY888: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY888 )
| ! [SY889: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY889 )
| ~ ( ( SY889 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SY888 ) )
| ( SV189 = SY888 ) )
| ~ ( ( SV189 != SY888 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SY888 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(2846,plain,
! [SV190: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
| ! [SY890: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY890 )
| ! [SY891: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY891 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY891 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ SY890 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SY890 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2847,plain,
! [SV191: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV191 )
| ! [SY892: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY892 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV191 @ SY892 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(2848,plain,
! [SV192: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
| ! [SY893: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY893 )
| ! [SY894: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY894 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY893 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY893 @ SY894 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY894 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(2849,plain,
! [SV193: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
| ! [SY895: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY895 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY895 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY895 @ SY895 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SY895 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(2850,plain,
! [SV194: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
| ! [SY896: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY896 )
| ! [SY897: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY897 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SY896 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY897 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SY897 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY896 @ SY897 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2547]) ).
thf(2851,plain,
! [SV195: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 )
| ! [SY898: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY898 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SY898 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SY898 @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2548]) ).
thf(2852,plain,
! [SV196: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
| ! [SY899: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY899 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY899 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY899 @ SY899 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY899 @ SV196 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2549]) ).
thf(2853,plain,
! [SV197: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ0
!= ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2550]) ).
thf(2854,plain,
! [SV198: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
| ! [SY900: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY900 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY900 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY900 @ SY900 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SY900 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SY900 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY900 @ SY900 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2855,plain,
! [SV199: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
| ! [SY901: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY901 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SY901 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY901 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2552]) ).
thf(2856,plain,
! [SV200: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
| ! [SY902: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY902 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SY902 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SY902 ) )
| ( SV200 = SY902 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SY902 ) )
| ( SV200 = SY902 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SY902 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(2857,plain,
! [SV201: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV201 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV201 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2554]) ).
thf(2858,plain,
! [SV202: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
| ! [SY903: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY903 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SY903 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SY903 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2555]) ).
thf(2859,plain,
! [SV203: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV203 )
| ( cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3 @ SV203 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2556]) ).
thf(2860,plain,
! [SV204: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV204 )
| ! [SY904: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY904 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV204 ) @ SY904 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV204 @ SY904 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2557]) ).
thf(2861,plain,
! [SV205: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV205 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV205 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2558]) ).
thf(2862,plain,
! [SV206: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
| ! [SY905: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY905 )
| ~ ~ ( ( SV206 != SY905 ) )
| ( SV206 = SY905 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(2863,plain,
! [SV207: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
| ! [SY906: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY906 )
| ! [SY907: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY907 )
| ! [SY908: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY908 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SY906 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY907 @ SY908 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SY907 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY906 @ SY908 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2560]) ).
thf(2864,plain,
! [SV208: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 )
| ! [SY909: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY909 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SY909 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY909 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2561]) ).
thf(2865,plain,
! [SV209: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
| ! [SY910: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY910 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SY910 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY910 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2562]) ).
thf(2866,plain,
! [SV210: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 )
| ! [SY911: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY911 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY911 @ SV210 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SY911 )
= SY911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(2867,plain,
! [SV211: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
| ! [SY912: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY912 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY912 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY912 ) )
| ( SV211 = SY912 ) )
| ~ ( ( SV211 != SY912 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY912 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2564]) ).
thf(2868,plain,
! [SV212: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV212 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV212 @ SV212 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV212 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(2869,plain,
! [SV213: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 )
| ! [SY913: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY913 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SY913 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SY913 )
= SY913 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2566]) ).
thf(2870,plain,
! [SV214: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
| ! [SY914: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY914 )
| ! [SY915: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY915 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY915 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY915 @ SY914 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SY914 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2567]) ).
thf(2871,plain,
! [SV215: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
| ! [SY916: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY916 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY916 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SY916 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2568]) ).
thf(2872,plain,
! [SV216: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
| ! [SY917: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY917 )
| ~ ( ~ ( ~ ! [SY918: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY918 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY918 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY918 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY917 @ SY918 ) ) )
| ( SV216 = SY917 ) )
| ~ ( ( SV216 != SY917 )
| ! [SY919: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY919 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY919 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY919 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY917 @ SY919 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2569]) ).
thf(2873,plain,
! [SV217: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
| ! [SY920: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY920 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY920 ) )
| ( SV217 = SY920 ) )
| ~ ( ( SV217 != SY920 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY920 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2570]) ).
thf(2874,plain,
! [SV218: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 )
| ! [SY921: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY921 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SY921 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY921 @ SV218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2571]) ).
thf(2875,plain,
! [SV219: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV219 )
| ~ ( ( SV219 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV219 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2572]) ).
thf(2876,plain,
! [SV220: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV220 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV220 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2573]) ).
thf(2877,plain,
! [SV221: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
| ! [SY922: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY922 )
| ! [SY923: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY923 )
| ~ ( ( SY923 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SY923 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY922 @ SY923 ) )
| ( SV221 = SY922 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2574]) ).
thf(2878,plain,
! [SV222: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2575]) ).
thf(2879,plain,
! [SV223: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
| ! [SY924: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY924 )
| ~ ( ( SY924 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SY924 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2576]) ).
thf(2880,plain,
! [SV224: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
| ! [SY925: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY925 )
| ! [SY926: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY926 )
| ! [SY927: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY927 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY925 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SY925 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY927 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY926 @ SY927 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY925 @ SY927 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SY926 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2577]) ).
thf(2881,plain,
! [SV225: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
| ! [SY928: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY928 )
| ! [SY929: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY929 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY929 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SY929 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY928 @ SY929 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SY928 ) @ SY929 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2578]) ).
thf(2882,plain,
! [SV226: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
| ! [SY930: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY930 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY930 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SY930 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2579]) ).
thf(2883,plain,
! [SV227: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
| ! [SY931: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY931 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SY931 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY931 @ SV227 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY931 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SY931 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2580]) ).
thf(2884,plain,
! [SV228: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
| ! [SY932: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY932 )
| ! [SY933: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY933 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SY932 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SY932 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SY932 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SY932 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2581]) ).
thf(2885,plain,
! [SV229: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
| ! [SY934: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY934 )
| ! [SY935: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY935 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY935 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SY934 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY935 @ SY934 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY935 @ SV229 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2582]) ).
thf(2886,plain,
! [SV230: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV230 )
| ! [SY936: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY936 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV230 @ SY936 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY936 @ SV230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2583]) ).
thf(2887,plain,
! [SV231: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
| ! [SY937: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY937 )
| ! [SY938: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY938 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SY937 ) )
| ( SV231 = SY937 ) )
| ~ ( ( SV231 != SY937 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SY937 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2584]) ).
thf(2888,plain,
! [SV232: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
| ! [SY939: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY939 )
| ! [SY940: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY940 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY940 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SY939 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY939 @ SY940 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY940 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY939 @ SY940 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY940 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SY939 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2585]) ).
thf(2889,plain,
! [SV233: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
| ! [SY941: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY941 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SY941 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY941 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY941 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SY941 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(2890,plain,
! [SV234: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
| ! [SY942: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY942 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SY942 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY942 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY942 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2587]) ).
thf(2891,plain,
! [SV235: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
| ! [SY943: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY943 )
| ! [SY944: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY944 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY944 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SY943 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY943 @ SY944 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SY944 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2588]) ).
thf(2892,plain,
! [SV236: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
| ! [SY945: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY945 )
| ! [SY946: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY946 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY945 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY946 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SY945 ) @ SY946 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY945 @ SY946 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(2893,plain,
! [SV237: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
| ! [SY947: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY947 )
| ! [SY948: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY948 )
| ( SV237 != SY947 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY947 @ SY948 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SY948 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2590]) ).
thf(2894,plain,
! [SV238: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
| ! [SY949: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY949 )
| ~ ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY949 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SY949 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SY949 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY949 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2591]) ).
thf(2895,plain,
! [SV239: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
| ! [SY950: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY950 )
| ~ ( ( SY950 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SY950 ) @ SY950 )
= SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(2896,plain,
! [SV240: $i] :
( ( ! [SY951: $i] :
~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SY951 )
| ~ ! [SY952: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY952 )
| ( SY951
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY952 @ SV240 ) ) ) )
| ~ ( ~ ~ ! [SY953: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY953 )
| ( SY951
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY953 @ SV240 ) ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SY951 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(2897,plain,
! [SV241: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
| ! [SY954: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY954 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SY954 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY954 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY954 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SY954 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(2898,plain,
! [SV242: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV242 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV242 @ SV242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(2899,plain,
! [SV243: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
| ! [SY955: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY955 )
| ! [SY956: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY956 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY955 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY956 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY955 @ SY956 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SY955 ) @ SY956 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(2900,plain,
! [SV244: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
| ! [SY957: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY957 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY957 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY957 @ SY957 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY957 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY957 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY957 @ SY957 ) @ SV244 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(2901,plain,
! [SV245: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
| ! [SY958: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY958 )
| ! [SY959: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY959 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY958 @ SY959 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY959 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY958 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY959 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY958 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY958 @ SY959 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2598]) ).
thf(2902,plain,
! [SV246: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
| ! [SY960: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY960 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY960 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SY960 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2599]) ).
thf(2903,plain,
! [SV247: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
| ! [SY961: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY961 )
| ! [SY962: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY962 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SY961 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SY961 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SY961 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SY961 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(2904,plain,
! [SV248: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 )
| ! [SY963: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY963 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SY963 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SY963 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2905,plain,
! [SV249: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
| ! [SY964: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY964 )
| ! [SY965: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY965 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY965 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SY965 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY964 @ SY965 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SY964 ) @ SY965 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2602]) ).
thf(2906,plain,
! [SV250: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
| ! [SY966: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY966 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY966 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY966 @ SV250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(2907,plain,
! [SV251: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
| ! [SY967: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY967 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SY967 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SY967 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(2908,plain,
! [SV252: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
| ! [SY968: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY968 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY968 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY968 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY968 @ SY968 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2605]) ).
thf(2909,plain,
! [SV253: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
| ! [SY969: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY969 )
| ! [SY970: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY970 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY970 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SY969 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SY970 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY969 @ SY970 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(2910,plain,
! [SV254: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV254 )
| ! [SY971: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY971 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV254 ) @ SY971 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV254 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY971 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2607]) ).
thf(2911,plain,
! [SV255: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
| ! [SY972: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY972 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY972 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY972 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SY972 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY972 @ SY972 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2608]) ).
thf(2912,plain,
! [SV256: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
| ! [SY973: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY973 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY973 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SY973 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2609]) ).
thf(2913,plain,
! [SV257: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV257 )
| ! [SY974: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY974 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV257 @ SY974 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY974 @ SV257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2610]) ).
thf(2914,plain,
! [SV258: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
| ! [SY975: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY975 )
| ~ ( ( SY975 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SY975 ) @ SY975 )
= SV258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(2915,plain,
! [SV259: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
| ! [SY976: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY976 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY976 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SY976 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2612]) ).
thf(2916,plain,
! [SV260: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
| ! [SY977: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY977 )
| ~ ( ( SY977 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SY977 ) @ SV260 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2613]) ).
thf(2917,plain,
! [SV261: $i] :
( ( ! [SY978: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SY978 ) )
| ( SV261 = SY978 ) )
| ~ ( ( SV261 != SY978 )
| ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SY978 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2614]) ).
thf(2918,plain,
! [SV262: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV262 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV262 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV262 @ SV262 ) )
= SV262 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(2919,plain,
! [SV263: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
| ! [SY979: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY979 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY979 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY979 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(2920,plain,
! [SV264: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
| ! [SY980: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY980 )
| ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SY980 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY980 @ SV264 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY980 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SY980 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2617]) ).
thf(2921,plain,
! [SV265: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV265 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV265 ) )
= SV265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(2922,plain,
! [SV266: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV266 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV266 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2619]) ).
thf(2923,plain,
! [SV267: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
| ! [SY981: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY981 )
| ! [SY982: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY982 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY981 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY981 @ SY982 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY982 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2620]) ).
thf(2924,plain,
! [SV268: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
| ! [SY983: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY983 )
| ! [SY984: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY984 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SY983 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY984 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY984 @ SY983 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2621]) ).
thf(2925,plain,
! [SV269: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV269 )
| ! [SY985: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY985 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV269 @ SV269 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY985 @ SY985 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2622]) ).
thf(2926,plain,
! [SV270: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
| ! [SY986: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY986 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY986 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SY986 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SY986 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(2927,plain,
! [SV271: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
| ! [SY987: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY987 )
| ! [SY988: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY988 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY988 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ SY987 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SY987 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(2928,plain,
! [SV272: $i] :
( ( ! [SY989: $i] :
~ ( ~ ( ~ ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SY989 ) )
| ~ ( ~ ( p @ SV272 )
| ~ ( p @ SY989 ) ) )
| ~ ( ~ ~ ( ~ ( p @ SV272 )
| ~ ( p @ SY989 ) )
| ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SY989 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(2929,plain,
! [SV273: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
| ! [SY990: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY990 )
| ! [SY991: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY991 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SY990 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY991 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY991 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY991 @ SY990 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(2930,plain,
! [SV274: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV274 )
| ! [SY992: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY992 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV274 @ SY992 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY992 @ SV274 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2627]) ).
thf(2931,plain,
! [SV275: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
| ! [SY993: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY993 )
| ! [SY994: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY994 )
| ( SV275 != SY993 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY993 @ SY994 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SY994 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(2932,plain,
! [SV276: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 )
| ! [SY995: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY995 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY995 @ SV276 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SY995 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(2933,plain,
! [SV277: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV277 )
| ! [SY996: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY996 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV277 @ SY996 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SY996 @ SV277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2934,plain,
! [SV278: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV278 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV278 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV278 @ SV278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(2935,plain,
! [SV279: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV279 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV279 ) )
| ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ SV279 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(2936,plain,
! [SV280: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
| ! [SY997: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY997 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY997 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SY997 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SY997 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(2937,plain,
! [SV281: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 )
| ! [SY998: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY998 )
| ( SV281 != SY998 )
| ( SY998 = SV281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(2938,plain,
! [SV282: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
| ! [SY999: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY999 )
| ! [SY1000: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1000 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1000 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SY1000 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY999 @ SY1000 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SY999 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(2939,plain,
! [SV283: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
| ! [SY1001: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1001 )
| ! [SY1002: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1002 )
| ! [SY1003: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1003 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SY1002 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1001 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1001 @ SY1003 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SY1001 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1002 @ SY1003 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(2940,plain,
! [SV284: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
| ! [SY1004: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1004 )
| ! [SY1005: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1005 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1005 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SY1004 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SY1005 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1004 @ SY1005 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2637]) ).
thf(2941,plain,
! [SV285: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV285 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV285 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(2942,plain,
! [SV286: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
| ! [SY1006: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1006 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SY1006 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1006 @ SV286 ) )
| ( SV286 = SY1006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2639]) ).
thf(2943,plain,
! [SV287: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
| ! [SY1007: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1007 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SY1007 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1007 @ SV287 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1007 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SY1007 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2640]) ).
thf(2944,plain,
! [SV288: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
| ! [SY1008: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1008 )
| ! [SY1009: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1009 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1008 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1008 @ SY1009 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1009 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2641]) ).
thf(2945,plain,
! [SV289: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
| ! [SY1010: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1010 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1010 @ SY1010 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1010 @ SV289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2642]) ).
thf(2946,plain,
! [SV290: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV290 )
| ! [SY1011: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1011 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV290 @ SY1011 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SY1011 @ SV290 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(2947,plain,
! [SV291: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV291 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV291 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV291 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2644]) ).
thf(2948,plain,
! [SV292: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV292 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV292 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV292 ) @ SV292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(2949,plain,
! [SV293: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV293 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV293 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV293 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(2950,plain,
! [SV294: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
| ! [SY1012: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1012 )
| ! [SY1013: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1013 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1012 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1012 @ SY1013 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1013 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2647]) ).
thf(2951,plain,
! [SV295: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
| ! [SY1014: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1014 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1014 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1014 @ SY1014 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(2952,plain,
! [SV296: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 )
| ! [SY1015: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1015 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY1015 ) )
| ( SV296 = SY1015 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(2953,plain,
! [SV297: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
| ! [SY1016: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1016 )
| ! [SY1017: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1017 )
| ( SV297 != SY1016 )
| ~ ( ( SY1016 != SY1017 ) )
| ( SV297 != SY1017 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(2954,plain,
! [SV298: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
| ! [SY1018: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1018 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1018 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1018 @ SY1018 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SY1018 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(2955,plain,
! [SV299: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
| ! [SY1019: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1019 )
| ! [SY1020: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1020 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1020 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SY1019 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1020 @ SY1019 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2652]) ).
thf(2956,plain,
! [SV300: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 )
| ! [SY1021: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1021 )
| ( SV300 != SY1021 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SY1021 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2653]) ).
thf(2957,plain,
! [SV301: $i] :
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV301 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV301 @ SV301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(2958,plain,
! [SV1: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 ) )
= $true )
| ( ( ! [SY662: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY662 )
| ! [SY663: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY663 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ SY662 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SY662 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2656]) ).
thf(2959,plain,
! [SV2: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 ) )
= $true )
| ( ( ! [SY664: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY664 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY664 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SY664 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2657]) ).
thf(2960,plain,
! [SV3: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 ) )
= $true )
| ( ( ! [SY665: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY665 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY665 ) )
| ( SV3 = SY665 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2658]) ).
thf(2961,plain,
! [SV4: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY666 )
| ! [SY667: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY667 )
| ~ ( ( SY666 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY666 @ SY667 ) )
| ( SY667
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SY666 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2659]) ).
thf(2962,plain,
! [SV5: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 ) )
= $true )
| ( ( ! [SY668: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY668 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SY668 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SY668 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2660]) ).
thf(2963,plain,
! [SV6: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV6 ) )
= $true )
| ( ( ! [SY669: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY669 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV6 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV6 @ SY669 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2661]) ).
thf(2964,plain,
! [SV7: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY670 )
| ! [SY671: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY671 )
| ( SV7 != SY670 )
| ( SY670 != SY671 )
| ( SV7 = SY671 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2662]) ).
thf(2965,plain,
! [SV8: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 ) )
= $true )
| ( ( ! [SY672: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY672 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SY672 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SY672 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2663]) ).
thf(2966,plain,
! [SV9: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 ) )
= $true )
| ( ( ! [SY673: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY673 )
| ! [SY674: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY674 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SY673 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY674 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY673 @ SY674 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY674 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY673 @ SY674 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SY673 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2664]) ).
thf(2967,plain,
! [SV10: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 ) )
= $true )
| ( ( ! [SY675: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY675 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY675 @ SV10 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2665]) ).
thf(2968,plain,
! [SV11: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 ) )
= $true )
| ( ( ! [SY676: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY676 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SY676 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY676 @ SV11 ) )
| ( SV11 = SY676 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2666]) ).
thf(2969,plain,
! [SV12: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV12 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV12 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2667]) ).
thf(2970,plain,
! [SV13: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV13 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV13 )
= SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2668]) ).
thf(2971,plain,
! [SV14: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV14 ) )
= $true )
| ( ( ! [SY677: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY677 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV14 @ SY677 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY677 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2972,plain,
! [SV15: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 ) )
= $true )
| ( ( ! [SY678: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY678 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SY678 ) )
= SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2670]) ).
thf(2973,plain,
! [SV16: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 ) )
= $true )
| ( ( ! [SY679: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY679 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SY679 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SY679 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2671]) ).
thf(2974,plain,
! [SV17: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV17 ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV17 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2672]) ).
thf(2975,plain,
! [SV18: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 ) )
= $true )
| ( ( ! [SY680: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY680 )
| ! [SY681: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY681 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SY680 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY681 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY680 @ SY681 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY681 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY680 @ SY681 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SY680 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2673]) ).
thf(2976,plain,
! [SV19: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 ) )
= $true )
| ( ( ! [SY682: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY682 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY682 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SY682 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2674]) ).
thf(2977,plain,
! [SV20: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 ) )
= $true )
| ( ( ! [SY683: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY683 )
| ! [SY684: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY684 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY683 @ SY684 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY683 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY684 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2675]) ).
thf(2978,plain,
! [SV21: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 ) )
= $true )
| ( ( ! [SY685: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY685 )
| ! [SY686: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY686 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY686 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SY685 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY686 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY685 @ SY686 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY686 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY685 @ SY686 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SY685 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2676]) ).
thf(2979,plain,
! [SV22: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 ) )
= $true )
| ( ( ! [SY687: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY687 )
| ! [SY688: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY688 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SY687 ) @ SY688 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SY688 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY687 @ SY688 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(2980,plain,
! [SV23: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 ) )
= $true )
| ( ( ! [SY689: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY689 )
| ! [SY690: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY690 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SY689 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ SY689 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2678]) ).
thf(2981,plain,
! [SV24: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 ) )
= $true )
| ( ( ! [SY691: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY691 )
| ! [SY692: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY692 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SY691 ) @ SY692 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY691 @ SY692 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2679]) ).
thf(2982,plain,
! [SV25: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 ) )
= $true )
| ( ( ! [SY693: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY693 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY693 @ SV25 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SY693 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2680]) ).
thf(2983,plain,
! [SV26: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 ) )
= $true )
| ( ( ! [SY694: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY694 )
| ! [SY695: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY695 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY694 ) )
| ( SY694 != SY695 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY695 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2681]) ).
thf(2984,plain,
! [SV27: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 ) )
= $true )
| ( ( ! [SY696: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY696 )
| ! [SY697: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY697 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY697 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SY697 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY696 @ SY697 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SY696 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2682]) ).
thf(2985,plain,
! [SV28: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 ) )
= $true )
| ( ( ! [SY698: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY698 )
| ! [SY699: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY699 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY699 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SY698 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY699 @ SV28 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2683]) ).
thf(2986,plain,
! [SV29: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 ) )
= $true )
| ( ( ! [SY700: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY700 )
| ! [SY701: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY701 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SY700 ) @ SY701 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SY701 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2684]) ).
thf(2987,plain,
! [SV30: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 ) )
= $true )
| ( ( ! [SY702: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY702 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY702 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY702 @ SY702 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SY702 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SY702 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2685]) ).
thf(2988,plain,
! [SV31: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 ) )
= $true )
| ( ( ~ ! [SY703: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY703 )
| ( SV31 != SY703 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2686]) ).
thf(2989,plain,
! [SV32: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 ) )
= $true )
| ( ( ! [SY704: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY704 )
| ! [SY705: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY705 )
| ( SV32 != SY704 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY704 @ SY705 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SY705 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2687]) ).
thf(2990,plain,
! [SV33: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 ) )
= $true )
| ( ( ! [SY706: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY706 )
| ! [SY707: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY707 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SY707 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY706 @ SY707 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SY706 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2688]) ).
thf(2991,plain,
! [SV34: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 ) )
= $true )
| ( ( ! [SY708: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY708 )
| ! [SY709: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY709 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY709 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SY708 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SY708 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SY708 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SY708 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2689]) ).
thf(2992,plain,
! [SV35: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__34425___24a1 @ SV35 ) )
| ( SV35 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV35 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( c_24__prop__34425___24a1 @ SV35 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(2993,plain,
! [SV36: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV36 ) )
= $true )
| ( ( ! [SY710: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY710 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV36 @ SY710 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY710 @ SV36 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2691]) ).
thf(2994,plain,
! [SV37: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV37 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2692]) ).
thf(2995,plain,
! [SV38: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 ) )
= $true )
| ( ( ! [SY711: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY711 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY711 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY711 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SY711 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY711 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SY711 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2693]) ).
thf(2996,plain,
! [SV39: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 ) )
= $true )
| ( ( ! [SY712: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY712 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY712 @ SV39 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SY712 )
= SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2694]) ).
thf(2997,plain,
! [SV40: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 ) )
= $true )
| ( ( ! [SY713: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY713 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SY713 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SY713 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2695]) ).
thf(2998,plain,
! [SV41: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV41 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV41 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV41 ) @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2696]) ).
thf(2999,plain,
! [SV42: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 ) )
= $true )
| ( ( ! [SY714: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY714 )
| ! [SY715: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY715 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SY714 ) @ SY715 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SY715 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SY714 @ SY715 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(3000,plain,
! [SV43: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 ) )
= $true )
| ( ( ! [SY716: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY716 )
| ! [SY717: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY717 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY716 @ SY717 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY716 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY717 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY716 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY717 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY716 @ SY717 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(3001,plain,
! [SV44: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 ) )
= $true )
| ( ( ! [SY718: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY718 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY718 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SY718 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SY718 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2699]) ).
thf(3002,plain,
! [SV45: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 ) )
= $true )
| ( ( ! [SY719: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY719 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SY719 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY719 @ SV45 ) )
| ( SV45 = SY719 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2700]) ).
thf(3003,plain,
! [SV46: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 ) )
= $true )
| ( ( ! [SY720: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY720 )
| ~ ( ( SV46 != SY720 ) )
| ( SY720 != SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2701]) ).
thf(3004,plain,
! [SV47: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 ) )
= $true )
| ( ( ! [SY721: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY721 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SY721 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY721 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(3005,plain,
! [SV48: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 ) )
= $true )
| ( ( ! [SY722: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY722 )
| ! [SY723: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY723 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY722 @ SY723 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SY722 ) @ SY723 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(3006,plain,
! [SV49: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 ) )
= $true )
| ( ( ! [SY724: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY724 )
| ! [SY725: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY725 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY725 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SY725 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY724 @ SY725 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SY724 ) @ SY725 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2704]) ).
thf(3007,plain,
! [SV50: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 ) )
= $true )
| ( ( ! [SY726: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY726 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY726 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SY726 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SY726 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2705]) ).
thf(3008,plain,
! [SV51: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 ) )
= $true )
| ( ( ! [SY727: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY727 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SY727 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SY727 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2706]) ).
thf(3009,plain,
! [SV52: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 ) )
= $true )
| ( ( ! [SY728: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY728 )
| ~ ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY728 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SY728 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2707]) ).
thf(3010,plain,
! [SV53: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV53 ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV53 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2708]) ).
thf(3011,plain,
! [SV54: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 ) )
= $true )
| ( ( ! [SY729: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY729 )
| ! [SY730: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY730 )
| ! [SY731: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY731 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SY729 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY730 @ SY729 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY731 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY730 @ SY731 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2709]) ).
thf(3012,plain,
! [SV55: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV55 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV55 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV55 ) @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2710]) ).
thf(3013,plain,
! [SV56: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 ) )
= $true )
| ( ( ! [SY732: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY732 )
| ! [SY733: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY733 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY732 @ SY733 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY732 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SY733 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2711]) ).
thf(3014,plain,
! [SV57: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 ) )
= $true )
| ( ( ! [SY734: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY734 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SY734 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY734 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY734 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SY734 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2712]) ).
thf(3015,plain,
! [SV58: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 ) )
= $true )
| ( ( ! [SY735: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY735 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY735 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY735 @ SY735 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2713]) ).
thf(3016,plain,
! [SV59: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 ) )
= $true )
| ( ( ! [SY736: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY736 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SY736 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY736 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY736 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2714]) ).
thf(3017,plain,
! [SV60: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV60 ) )
= $true )
| ( ( ! [SY737: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY737 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY737 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ SY737 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2715]) ).
thf(3018,plain,
! [SV61: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 ) )
= $true )
| ( ( ! [SY738: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY738 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SY738 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SY738 ) )
| ( SV61 = SY738 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2716]) ).
thf(3019,plain,
! [SV62: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 ) )
= $true )
| ( ( ! [SY739: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY739 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY739 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SY739 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SY739 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY739 @ SV62 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2717]) ).
thf(3020,plain,
! [SV63: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 ) )
= $true )
| ( ( ! [SY740: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY740 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
| ~ ( ( SY740 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY740 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SY740 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY740 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SY740 ) ) @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2718]) ).
thf(3021,plain,
! [SV64: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 ) )
= $true )
| ( ( ! [SY741: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY741 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SY741 ) )
| ( SV64 != SY741 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2719]) ).
thf(3022,plain,
! [SV65: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 ) )
= $true )
| ( ( ! [SY742: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY742 )
| ! [SY743: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY743 )
| ! [SY744: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY744 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SY742 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY743 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY744 @ SY742 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY743 @ SY744 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2720]) ).
thf(3023,plain,
! [SV66: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 ) )
= $true )
| ( ( ! [SY745: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY745 )
| ! [SY746: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY746 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY746 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY745 @ SY746 ) )
| ( SV66 = SY745 ) )
| ~ ( ( SV66 != SY745 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY746 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY745 @ SY746 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2721]) ).
thf(3024,plain,
! [SV67: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 ) )
= $true )
| ( ( ! [SY747: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY747 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SY747 ) )
| ( SV67 = SY747 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY747 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2722]) ).
thf(3025,plain,
! [SV68: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 ) )
= $true )
| ( ( ! [SY748: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY748 )
| ! [SY749: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY749 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY748 @ SY749 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY748 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY749 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY748 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY749 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY748 @ SY749 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2723]) ).
thf(3026,plain,
! [SV69: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV69 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV69 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV69 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2724]) ).
thf(3027,plain,
! [SV70: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 ) )
= $true )
| ( ( ! [SY750: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY750 )
| ! [SY751: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY751 )
| ! [SY752: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY752 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SY750 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY751 @ SY752 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SY751 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY750 @ SY752 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2725]) ).
thf(3028,plain,
! [SV71: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 ) )
= $true )
| ( ( ! [SY753: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY753 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SY753 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SY753 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2726]) ).
thf(3029,plain,
! [SV72: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 ) )
= $true )
| ( ( ! [SY754: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY754 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SY754 ) )
| ~ ( ( SV72 != SY754 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SY754 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2727]) ).
thf(3030,plain,
! [SV73: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 ) )
= $true )
| ( ( ! [SY755: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY755 )
| ! [SY756: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY756 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY755 ) @ SY756 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY756 ) @ SY755 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2728]) ).
thf(3031,plain,
! [SV74: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV74 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV74 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(3032,plain,
! [SV75: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 ) )
= $true )
| ( ( ! [SY757: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY757 )
| ! [SY758: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY758 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY758 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY757 @ SY758 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY757 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(3033,plain,
! [SV76: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 ) )
= $true )
| ( ( ! [SY759: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY759 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SY759 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY759 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2731]) ).
thf(3034,plain,
! [SV77: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 ) )
= $true )
| ( ( ! [SY760: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY760 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SY760 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SY760 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2732]) ).
thf(3035,plain,
! [SV78: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 ) )
= $true )
| ( ( ! [SY761: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY761 )
| ~ ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY761 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY761 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2733]) ).
thf(3036,plain,
! [SV79: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 ) )
= $true )
| ( ( ! [SY762: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY762 )
| ~ ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SY762 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY762 @ SV79 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY762 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SY762 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2734]) ).
thf(3037,plain,
! [SV80: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 ) )
= $true )
| ( ( ! [SY763: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY763 )
| ~ ( ( SY763 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SY763 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2735]) ).
thf(3038,plain,
! [SV81: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 ) )
= $true )
| ( ( ! [SY764: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY764 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY764 @ SV81 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SY764 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2736]) ).
thf(3039,plain,
! [SV82: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 ) )
= $true )
| ( ( ! [SY765: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY765 )
| ! [SY766: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY766 )
| ~ ( ( SY766 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY766 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY766 @ SY765 ) )
| ( SV82 = SY765 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2737]) ).
thf(3040,plain,
! [SV83: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 ) )
= $true )
| ( ( ! [SY767: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY767 )
| ~ ( ( SY767 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SY767 ) @ SY767 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2738]) ).
thf(3041,plain,
! [SV84: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 ) )
= $true )
| ( ( ! [SY768: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY768 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SY768 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SY768 ) )
| ( SV84 = SY768 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SY768 ) )
| ( SV84 = SY768 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SY768 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2739]) ).
thf(3042,plain,
! [SV85: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV85 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2740]) ).
thf(3043,plain,
! [SV86: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 ) )
= $true )
| ( ( ! [SY769: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY769 )
| ! [SY770: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY770 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SY770 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY769 @ SY770 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SY769 ) @ SY770 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2741]) ).
thf(3044,plain,
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ sK2_SX0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK2_SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK2_SX0 @ sK2_SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sK2_SX0 @ sK1_V0__n ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2742]) ).
thf(3045,plain,
! [SV302: $i,SV87: $i] :
( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) )
| ( SV87 = SV302 ) )
| ~ ( ( SV87 != SV302 )
| ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(3046,plain,
! [SV88: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 ) )
= $true )
| ( ( ! [SY772: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY772 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY772 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SY772 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2744]) ).
thf(3047,plain,
! [SV89: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 ) )
= $true )
| ( ( ! [SY773: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY773 )
| ! [SY774: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY774 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SY773 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY773 @ SY774 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SY774 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2745]) ).
thf(3048,plain,
! [SV90: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 ) )
= $true )
| ( ( ! [SY775: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY775 )
| ! [SY776: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY776 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY775 ) )
| ( SY775 != SY776 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY776 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2746]) ).
thf(3049,plain,
! [SV91: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV91 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2747]) ).
thf(3050,plain,
! [SV92: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV92 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV92 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV92 @ SV92 )
= SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2748]) ).
thf(3051,plain,
! [SV93: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 ) )
= $true )
| ( ( ! [SY777: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY777 )
| ~ ! [SY778: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY778 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY778 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY778 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY777 @ SY778 ) ) )
| ( SV93 = SY777 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2749]) ).
thf(3052,plain,
! [SV94: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 ) )
= $true )
| ( ( ! [SY779: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY779 )
| ! [SY780: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY780 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY779 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY780 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY780 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SY779 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY780 @ SV94 ) @ SY779 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2750]) ).
thf(3053,plain,
! [SV95: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV95 ) )
= $true )
| ( ( ( SV95 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV95 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2751]) ).
thf(3054,plain,
! [SV96: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 ) )
= $true )
| ( ( ! [SY781: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY781 )
| ( SV96 != SY781 )
| ( SY781 = SV96 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2752]) ).
thf(3055,plain,
! [SV97: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 ) )
= $true )
| ( ( ! [SY782: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY782 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY782 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SY782 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2753]) ).
thf(3056,plain,
! [SV98: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV98 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV98 @ SV98 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2754]) ).
thf(3057,plain,
! [SV99: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 ) )
= $true )
| ( ( ! [SY783: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY783 )
| ! [SY784: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY784 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY783 @ SY784 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY784 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY783 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY784 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY783 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY783 @ SY784 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2755]) ).
thf(3058,plain,
! [SV100: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
| ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( c_24__prop__34426___24a1 @ SV100 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2756]) ).
thf(3059,plain,
! [SV101: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 ) )
= $true )
| ( ( ! [SY785: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY785 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SY785 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY785 @ SY785 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2757]) ).
thf(3060,plain,
! [SV102: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 ) )
= $true )
| ( ( ! [SY786: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY786 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY786 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY786 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2758]) ).
thf(3061,plain,
! [SV103: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 ) )
= $true )
| ( ( ! [SY787: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY787 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SY787 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SY787 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2759]) ).
thf(3062,plain,
! [SV104: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY788 )
| ! [SY789: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY789 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY789 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ SY788 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SY788 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2760]) ).
thf(3063,plain,
! [SV105: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 ) )
= $true )
| ( ( ! [SY790: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY790 )
| ! [SY791: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY791 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY791 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SY790 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SY790 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SY790 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SY790 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2761]) ).
thf(3064,plain,
! [SV106: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV106 ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV106 @ SV106 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2762]) ).
thf(3065,plain,
! [SV107: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 ) )
= $true )
| ( ( ! [SY792: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY792 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY792 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY792 @ SY792 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY792 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2763]) ).
thf(3066,plain,
! [SV108: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 ) )
= $true )
| ( ( ! [SY793: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY793 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY793 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY793 ) )
| ( SV108 = SY793 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2764]) ).
thf(3067,plain,
! [SV109: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 ) )
= $true )
| ( ( ! [SY794: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY794 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY794 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY794 ) )
| ( SV109 = SY794 ) )
| ~ ( ( SV109 != SY794 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY794 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2765]) ).
thf(3068,plain,
! [SV110: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 ) )
= $true )
| ( ( ! [SY795: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY795 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY795 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SY795 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SY795 @ SV110 )
| ( SV110 = SY795 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2766]) ).
thf(3069,plain,
! [SV111: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 ) )
= $true )
| ( ( ! [SY796: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY796 )
| ! [SY797: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY797 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY797 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SY797 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY796 @ SY797 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2767]) ).
thf(3070,plain,
! [SV112: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 ) )
= $true )
| ( ( ! [SY798: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY798 )
| ! [SY799: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY799 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY799 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SY798 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY799 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY799 @ SY798 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2768]) ).
thf(3071,plain,
! [SV113: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 ) )
= $true )
| ( ( ! [SY800: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY800 )
| ! [SY801: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY801 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY800 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY800 @ SY801 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY801 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2769]) ).
thf(3072,plain,
! [SV114: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 ) )
= $true )
| ( ( ! [SY802: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY802 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SY802 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2770]) ).
thf(3073,plain,
! [SV115: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 ) )
= $true )
| ( ( ! [SY803: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY803 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SY803 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SY803 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2771]) ).
thf(3074,plain,
! [SV116: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV116 ) )
= $true )
| ( ( ! [SY804: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY804 )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV116 @ SY804 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2772]) ).
thf(3075,plain,
! [SV117: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 ) )
= $true )
| ( ( ! [SY805: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY805 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY805 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY805 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SY805 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2773]) ).
thf(3076,plain,
! [SV118: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 ) )
= $true )
| ( ( ! [SY806: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY806 )
| ! [SY807: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY807 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY806 ) )
| ( SY806 != SY807 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY807 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2774]) ).
thf(3077,plain,
! [SV119: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV119 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV119 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2775]) ).
thf(3078,plain,
! [SV120: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 ) )
= $true )
| ( ( ! [SY808: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY808 )
| ! [SY809: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY809 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY809 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SY809 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY808 @ SY809 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SY808 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2776]) ).
thf(3079,plain,
! [SV121: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 ) )
= $true )
| ( ( ! [SY810: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY810 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY810 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SY810 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2777]) ).
thf(3080,plain,
! [SV122: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 ) )
= $true )
| ( ( ! [SY811: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY811 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY811 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SY811 ) @ SV122 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SY811 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY811 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2778]) ).
thf(3081,plain,
! [SV123: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 ) )
= $true )
| ( ( ! [SY812: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY812 )
| ! [SY813: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY813 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY813 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SY812 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SY813 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY812 @ SY813 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2779]) ).
thf(3082,plain,
! [SV124: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV124 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 )
= SV124 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2780]) ).
thf(3083,plain,
! [SV125: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 ) )
= $true )
| ( ( ! [SY814: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY814 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SY814 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY814 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY814 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SY814 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2781]) ).
thf(3084,plain,
! [SV126: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV126 ) )
= $true )
| ( ( SV126 = SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2782]) ).
thf(3085,plain,
! [SV127: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 ) )
= $true )
| ( ( ! [SY815: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY815 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SY815 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY815 @ SY815 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(3086,plain,
! [SV128: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV128 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV128 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV128 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(3087,plain,
! [SV129: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 ) )
= $true )
| ( ( ! [SY816: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY816 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SY816 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY816 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY816 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SY816 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2785]) ).
thf(3088,plain,
! [SV130: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 ) )
= $true )
| ( ( ! [SY817: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY817 )
| ! [SY818: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY818 )
| ! [SY819: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY819 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SY818 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY817 @ SY819 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY817 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SY817 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY818 @ SY819 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2786]) ).
thf(3089,plain,
! [SV131: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 ) )
= $true )
| ( ( ! [SY820: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY820 )
| ! [SY821: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY821 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SY820 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY820 @ SY821 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SY821 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(3090,plain,
! [SV132: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 ) )
= $true )
| ( ( ! [SY822: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY822 )
| ! [SY823: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY823 )
| ! [SY824: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY824 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SY822 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY823 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY823 @ SY824 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SY823 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY822 @ SY824 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2788]) ).
thf(3091,plain,
! [SV133: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2789]) ).
thf(3092,plain,
! [SV134: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 ) )
= $true )
| ( ( ! [SY825: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY825 )
| ! [SY826: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY826 )
| ~ ( ( SY825 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY825 @ SY826 ) )
| ( SY826
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SY825 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2790]) ).
thf(3093,plain,
! [SV135: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 ) )
= $true )
| ( ( ! [SY827: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY827 )
| ! [SY828: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY828 )
| ! [SY829: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY829 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY827 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY828 @ SY829 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY828 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY827 @ SY829 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2791]) ).
thf(3094,plain,
! [SV136: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY830 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SY830 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY830 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2792]) ).
thf(3095,plain,
! [SV137: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 ) )
= $true )
| ( ( ! [SY831: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY831 )
| ! [SY832: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY832 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY831 @ SY832 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY831 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY832 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2793]) ).
thf(3096,plain,
! [SV138: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV138 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV138 @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2794]) ).
thf(3097,plain,
! [SV139: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 ) )
= $true )
| ( ( ! [SY833: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY833 )
| ! [SY834: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY834 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY833 ) )
| ( SY833 != SY834 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY834 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2795]) ).
thf(3098,plain,
! [SV140: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 ) )
= $true )
| ( ( ! [SY835: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY835 )
| ! [SY836: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY836 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY835 @ SY836 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SY835 ) @ SY836 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2796]) ).
thf(3099,plain,
! [SV141: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 ) )
= $true )
| ( ( ! [SY837: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY837 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY837 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY837 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2797]) ).
thf(3100,plain,
! [SV142: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 ) )
= $true )
| ( ( ! [SY838: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY838 )
| ! [SY839: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY839 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SY838 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SY839 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SY838 @ SY839 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2798]) ).
thf(3101,plain,
! [SV143: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV143 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV143 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV143 ) @ SV143 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(3102,plain,
! [SV144: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 ) )
= $true )
| ( ( ! [SY840: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY840 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY840 @ SY840 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY840 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2800]) ).
thf(3103,plain,
! [SV145: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 ) )
= $true )
| ( ( ! [SY841: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY841 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SY841 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SY841 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2801]) ).
thf(3104,plain,
! [SV146: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 ) )
= $true )
| ( ( ! [SY842: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY842 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY842 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY842 ) )
| ( SV146 = SY842 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(3105,plain,
! [SV147: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 ) )
= $true )
| ( ( ! [SY843: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY843 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SY843 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY843 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2803]) ).
thf(3106,plain,
! [SV148: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 ) )
= $true )
| ( ( ! [SY844: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY844 )
| ! [SY845: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY845 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SY844 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY844 @ SY845 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2804]) ).
thf(3107,plain,
! [SV149: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV149 ) )
= $true )
| ( ( ~ ( ( SV149 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV149 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2805]) ).
thf(3108,plain,
! [SV150: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV150 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV150 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV150 @ SV150 )
= SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2806]) ).
thf(3109,plain,
! [SV151: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 ) )
= $true )
| ( ( ! [SY846: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY846 )
| ! [SY847: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY847 )
| ! [SY848: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY848 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SY847 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY846 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY846 @ SY848 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SY846 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY847 @ SY848 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2807]) ).
thf(3110,plain,
! [SV152: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 ) )
= $true )
| ( ( ! [SY849: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY849 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SY849 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY849 @ SY849 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2808]) ).
thf(3111,plain,
! [SV153: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV153 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV153 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV153 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2809]) ).
thf(3112,plain,
! [SV154: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 ) )
= $true )
| ( ( ! [SY850: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY850 )
| ! [SY851: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY851 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY851 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ SY850 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SY850 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2810]) ).
thf(3113,plain,
! [SV155: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV155 ) )
= $true )
| ( ( ! [SY852: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY852 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV155 @ SY852 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2811]) ).
thf(3114,plain,
! [SV156: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV156 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV156 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2812]) ).
thf(3115,plain,
! [SV157: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV157 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV157 ) @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2813]) ).
thf(3116,plain,
! [SV158: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 ) )
= $true )
| ( ( ! [SY853: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY853 )
| ! [SY854: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY854 )
| ~ ( ( SV158 != SY853 ) )
| ( SY853 != SY854 )
| ( SV158 != SY854 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2814]) ).
thf(3117,plain,
! [SV159: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV159 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV159 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV159 @ SV159 ) )
= SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(3118,plain,
! [SV160: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 ) )
= $true )
| ( ( ! [SY855: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY855 )
| ! [SY856: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY856 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SY855 ) @ SY856 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SY856 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY855 @ SY856 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(3119,plain,
! [SV161: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 ) )
= $true )
| ( ( ! [SY857: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY857 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SY857 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY857 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY857 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY857 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY857 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SY857 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2817]) ).
thf(3120,plain,
! [SV162: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 ) )
= $true )
| ( ( ! [SY858: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY858 )
| ! [SY859: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY859 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY858 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY858 @ SY859 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY859 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2818]) ).
thf(3121,plain,
! [SV163: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV163 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV163 @ SV163 ) ) )
| ( SV163 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(3122,plain,
! [SV164: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV164 ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV164 @ SV164 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2820]) ).
thf(3123,plain,
! [SV165: $i] :
( ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
| ( p @ SV165 )
| ~ ( p @ SV165 ) )
| ~ ( ~ ( ( p @ SV165 )
| ~ ( p @ SV165 ) )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2821]) ).
thf(3124,plain,
! [SV166: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 ) )
= $true )
| ( ( ! [SY860: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY860 )
| ! [SY861: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY861 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY860 ) @ SY861 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY861 ) @ SY860 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(3125,plain,
! [SV167: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY862 )
| ! [SY863: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY863 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SY862 ) @ SY863 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SY863 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY862 @ SY863 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(3126,plain,
! [SV168: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV168 ) )
= $true )
| ( ( ! [SY864: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY864 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV168 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY864 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV168 @ SY864 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2824]) ).
thf(3127,plain,
! [SV169: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV169 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV169 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(3128,plain,
! [SV170: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 ) )
= $true )
| ( ( ! [SY865: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY865 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY865 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SY865 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SY865 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(3129,plain,
! [SV171: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 ) )
= $true )
| ( ( ! [SY866: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY866 )
| ! [SY867: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY867 )
| ! [SY868: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY868 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SY866 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY867 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY867 @ SY868 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SY867 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY866 @ SY868 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2827]) ).
thf(3130,plain,
! [SV172: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 ) )
= $true )
| ( ( ! [SY869: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY869 )
| ! [SY870: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY870 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SY869 ) )
| ( SV172 != SY870 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY870 @ SY869 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2828]) ).
thf(3131,plain,
! [SV173: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV173 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV173 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2829]) ).
thf(3132,plain,
! [SV174: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 ) )
= $true )
| ( ( ! [SY871: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY871 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SY871 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY871 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2830]) ).
thf(3133,plain,
! [SV175: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY872 )
| ! [SY873: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY873 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY873 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SY873 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY872 @ SY873 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SY872 ) @ SY873 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2831]) ).
thf(3134,plain,
! [SV176: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY874 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SY874 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SY874 )
= SV176 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2832]) ).
thf(3135,plain,
! [SV177: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 ) )
= $true )
| ( ( ! [SY875: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY875 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SY875 ) )
| ~ ! [SY876: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY876 )
| ( SY875
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY876 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY876 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(3136,plain,
! [SV178: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV178 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV178 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV178 )
= SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2834]) ).
thf(3137,plain,
! [SV179: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 ) )
= $true )
| ( ( ! [SY877: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY877 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SY877 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SY877 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2835]) ).
thf(3138,plain,
! [SV180: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV180 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV180 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2836]) ).
thf(3139,plain,
! [SV181: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 ) )
= $true )
| ( ( ! [SY878: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY878 )
| ! [SY879: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY879 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SY878 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY878 @ SY879 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2837]) ).
thf(3140,plain,
! [SV182: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV182 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV182 @ SV182 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2838]) ).
thf(3141,plain,
! [SV183: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 ) )
= $true )
| ( ( ! [SY880: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY880 )
| ( SV183 != SY880 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY880 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2839]) ).
thf(3142,plain,
! [SV184: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY881 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY881 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SY881 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2840]) ).
thf(3143,plain,
! [SV185: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 ) )
= $true )
| ( ( ! [SY882: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY882 )
| ! [SY883: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY883 )
| ! [SY884: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY884 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY882 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SY882 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY884 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY883 @ SY884 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY882 @ SY884 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SY883 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2841]) ).
thf(3144,plain,
! [SV186: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 ) )
= $true )
| ( ( ! [SY885: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY885 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SY885 ) )
| ~ ( ( SV186 != SY885 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SY885 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2842]) ).
thf(3145,plain,
! [SV187: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 ) )
= $true )
| ( ( ! [SY886: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY886 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SY886 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SY886 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SY886 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SY886 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2843]) ).
thf(3146,plain,
! [SV188: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 ) )
= $true )
| ( ( ! [SY887: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY887 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SY887 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SY887 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2844]) ).
thf(3147,plain,
! [SV189: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 ) )
= $true )
| ( ( ! [SY888: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY888 )
| ! [SY889: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY889 )
| ~ ( ( SY889 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SY888 ) )
| ( SV189 = SY888 ) )
| ~ ( ( SV189 != SY888 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SY888 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2845]) ).
thf(3148,plain,
! [SV190: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 ) )
= $true )
| ( ( ! [SY890: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY890 )
| ! [SY891: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY891 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY891 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ SY890 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SY890 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2846]) ).
thf(3149,plain,
! [SV191: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV191 ) )
= $true )
| ( ( ! [SY892: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY892 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV191 @ SY892 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(3150,plain,
! [SV192: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 ) )
= $true )
| ( ( ! [SY893: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY893 )
| ! [SY894: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY894 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY893 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY893 @ SY894 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY894 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2848]) ).
thf(3151,plain,
! [SV193: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 ) )
= $true )
| ( ( ! [SY895: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY895 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY895 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY895 @ SY895 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SY895 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2849]) ).
thf(3152,plain,
! [SV194: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 ) )
= $true )
| ( ( ! [SY896: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY896 )
| ! [SY897: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY897 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SY896 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY897 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SY897 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY896 @ SY897 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2850]) ).
thf(3153,plain,
! [SV195: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 ) )
= $true )
| ( ( ! [SY898: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY898 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SY898 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SY898 @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2851]) ).
thf(3154,plain,
! [SV196: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 ) )
= $true )
| ( ( ! [SY899: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY899 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY899 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY899 @ SY899 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY899 @ SV196 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(3155,plain,
! [SV197: $i] :
( ( cCoq_2eNumbers_2eBinNums_2eZ0
= ( cCoq_2eNumbers_2eBinNums_2eZpos___24a1 @ SV197 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(3156,plain,
! [SV198: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 ) )
= $true )
| ( ( ! [SY900: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY900 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY900 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY900 @ SY900 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SY900 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SY900 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY900 @ SY900 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(3157,plain,
! [SV199: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 ) )
= $true )
| ( ( ! [SY901: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY901 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SY901 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY901 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(3158,plain,
! [SV200: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 ) )
= $true )
| ( ( ! [SY902: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY902 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SY902 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SY902 ) )
| ( SV200 = SY902 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SY902 ) )
| ( SV200 = SY902 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SY902 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(3159,plain,
! [SV201: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV201 ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV201 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2857]) ).
thf(3160,plain,
! [SV202: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 ) )
= $true )
| ( ( ! [SY903: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY903 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SY903 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SY903 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2858]) ).
thf(3161,plain,
! [SV203: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV203 ) )
= $true )
| ( ( cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3 @ SV203 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(3162,plain,
! [SV204: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV204 ) )
= $true )
| ( ( ! [SY904: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY904 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV204 ) @ SY904 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV204 @ SY904 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2860]) ).
thf(3163,plain,
! [SV205: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV205 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV205 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(3164,plain,
! [SV206: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 ) )
= $true )
| ( ( ! [SY905: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY905 )
| ~ ~ ( ( SV206 != SY905 ) )
| ( SV206 = SY905 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2862]) ).
thf(3165,plain,
! [SV207: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 ) )
= $true )
| ( ( ! [SY906: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY906 )
| ! [SY907: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY907 )
| ! [SY908: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY908 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SY906 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY907 @ SY908 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SY907 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY906 @ SY908 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2863]) ).
thf(3166,plain,
! [SV208: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 ) )
= $true )
| ( ( ! [SY909: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY909 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SY909 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY909 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(3167,plain,
! [SV209: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 ) )
= $true )
| ( ( ! [SY910: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY910 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SY910 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY910 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2865]) ).
thf(3168,plain,
! [SV210: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 ) )
= $true )
| ( ( ! [SY911: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY911 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY911 @ SV210 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SY911 )
= SY911 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(3169,plain,
! [SV211: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 ) )
= $true )
| ( ( ! [SY912: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY912 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY912 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY912 ) )
| ( SV211 = SY912 ) )
| ~ ( ( SV211 != SY912 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY912 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2867]) ).
thf(3170,plain,
! [SV212: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV212 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV212 @ SV212 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV212 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2868]) ).
thf(3171,plain,
! [SV213: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 ) )
= $true )
| ( ( ! [SY913: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY913 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SY913 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SY913 )
= SY913 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2869]) ).
thf(3172,plain,
! [SV214: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 ) )
= $true )
| ( ( ! [SY914: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY914 )
| ! [SY915: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY915 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY915 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY915 @ SY914 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SY914 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2870]) ).
thf(3173,plain,
! [SV215: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 ) )
= $true )
| ( ( ! [SY916: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY916 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY916 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SY916 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(3174,plain,
! [SV216: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 ) )
= $true )
| ( ( ! [SY917: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY917 )
| ~ ( ~ ( ~ ! [SY918: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY918 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY918 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY918 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY917 @ SY918 ) ) )
| ( SV216 = SY917 ) )
| ~ ( ( SV216 != SY917 )
| ! [SY919: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY919 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY919 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY919 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY917 @ SY919 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(3175,plain,
! [SV217: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 ) )
= $true )
| ( ( ! [SY920: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY920 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY920 ) )
| ( SV217 = SY920 ) )
| ~ ( ( SV217 != SY920 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY920 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2873]) ).
thf(3176,plain,
! [SV218: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 ) )
= $true )
| ( ( ! [SY921: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY921 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SY921 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY921 @ SV218 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2874]) ).
thf(3177,plain,
! [SV219: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV219 ) )
= $true )
| ( ( ~ ( ( SV219 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV219 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2875]) ).
thf(3178,plain,
! [SV220: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV220 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV220 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2876]) ).
thf(3179,plain,
! [SV221: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 ) )
= $true )
| ( ( ! [SY922: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY922 )
| ! [SY923: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY923 )
| ~ ( ( SY923 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SY923 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY922 @ SY923 ) )
| ( SV221 = SY922 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2877]) ).
thf(3180,plain,
! [SV222: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2878]) ).
thf(3181,plain,
! [SV223: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 ) )
= $true )
| ( ( ! [SY924: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY924 )
| ~ ( ( SY924 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SY924 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2879]) ).
thf(3182,plain,
! [SV224: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 ) )
= $true )
| ( ( ! [SY925: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY925 )
| ! [SY926: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY926 )
| ! [SY927: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY927 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY925 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SY925 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY927 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY926 @ SY927 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY925 @ SY927 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SY926 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2880]) ).
thf(3183,plain,
! [SV225: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 ) )
= $true )
| ( ( ! [SY928: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY928 )
| ! [SY929: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY929 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY929 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SY929 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY928 @ SY929 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SY928 ) @ SY929 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2881]) ).
thf(3184,plain,
! [SV226: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 ) )
= $true )
| ( ( ! [SY930: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY930 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY930 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SY930 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2882]) ).
thf(3185,plain,
! [SV227: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 ) )
= $true )
| ( ( ! [SY931: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY931 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SY931 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY931 @ SV227 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY931 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SY931 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2883]) ).
thf(3186,plain,
! [SV228: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 ) )
= $true )
| ( ( ! [SY932: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY932 )
| ! [SY933: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY933 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SY932 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SY932 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SY932 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SY932 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2884]) ).
thf(3187,plain,
! [SV229: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 ) )
= $true )
| ( ( ! [SY934: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY934 )
| ! [SY935: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY935 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY935 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SY934 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY935 @ SY934 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY935 @ SV229 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2885]) ).
thf(3188,plain,
! [SV230: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV230 ) )
= $true )
| ( ( ! [SY936: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY936 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV230 @ SY936 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY936 @ SV230 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2886]) ).
thf(3189,plain,
! [SV231: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 ) )
= $true )
| ( ( ! [SY937: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY937 )
| ! [SY938: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY938 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SY937 ) )
| ( SV231 = SY937 ) )
| ~ ( ( SV231 != SY937 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SY937 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2887]) ).
thf(3190,plain,
! [SV232: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 ) )
= $true )
| ( ( ! [SY939: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY939 )
| ! [SY940: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY940 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY940 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SY939 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY939 @ SY940 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY940 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY939 @ SY940 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY940 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SY939 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2888]) ).
thf(3191,plain,
! [SV233: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 ) )
= $true )
| ( ( ! [SY941: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY941 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SY941 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY941 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY941 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SY941 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(3192,plain,
! [SV234: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 ) )
= $true )
| ( ( ! [SY942: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY942 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SY942 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY942 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY942 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2890]) ).
thf(3193,plain,
! [SV235: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 ) )
= $true )
| ( ( ! [SY943: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY943 )
| ! [SY944: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY944 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY944 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SY943 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY943 @ SY944 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SY944 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2891]) ).
thf(3194,plain,
! [SV236: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 ) )
= $true )
| ( ( ! [SY945: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY945 )
| ! [SY946: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY946 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY945 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY946 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SY945 ) @ SY946 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY945 @ SY946 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(3195,plain,
! [SV237: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 ) )
= $true )
| ( ( ! [SY947: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY947 )
| ! [SY948: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY948 )
| ( SV237 != SY947 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY947 @ SY948 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SY948 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2893]) ).
thf(3196,plain,
! [SV238: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 ) )
= $true )
| ( ( ! [SY949: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY949 )
| ~ ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY949 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SY949 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SY949 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY949 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2894]) ).
thf(3197,plain,
! [SV239: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 ) )
= $true )
| ( ( ! [SY950: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY950 )
| ~ ( ( SY950 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SY950 ) @ SY950 )
= SV239 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2895]) ).
thf(3198,plain,
! [SV303: $i,SV240: $i] :
( ( ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
| ~ ! [SY1022: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1022 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1022 @ SV240 ) ) ) )
| ~ ( ~ ~ ! [SY1023: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1023 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1023 @ SV240 ) ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2896]) ).
thf(3199,plain,
! [SV241: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 ) )
= $true )
| ( ( ! [SY954: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY954 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SY954 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY954 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY954 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SY954 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2897]) ).
thf(3200,plain,
! [SV242: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV242 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV242 @ SV242 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2898]) ).
thf(3201,plain,
! [SV243: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 ) )
= $true )
| ( ( ! [SY955: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY955 )
| ! [SY956: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY956 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY955 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY956 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY955 @ SY956 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SY955 ) @ SY956 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2899]) ).
thf(3202,plain,
! [SV244: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 ) )
= $true )
| ( ( ! [SY957: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY957 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY957 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY957 @ SY957 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY957 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY957 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY957 @ SY957 ) @ SV244 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2900]) ).
thf(3203,plain,
! [SV245: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 ) )
= $true )
| ( ( ! [SY958: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY958 )
| ! [SY959: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY959 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY958 @ SY959 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY959 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY958 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY959 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY958 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY958 @ SY959 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2901]) ).
thf(3204,plain,
! [SV246: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 ) )
= $true )
| ( ( ! [SY960: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY960 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY960 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SY960 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2902]) ).
thf(3205,plain,
! [SV247: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 ) )
= $true )
| ( ( ! [SY961: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY961 )
| ! [SY962: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY962 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SY961 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SY961 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SY961 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SY961 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2903]) ).
thf(3206,plain,
! [SV248: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 ) )
= $true )
| ( ( ! [SY963: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY963 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SY963 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SY963 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2904]) ).
thf(3207,plain,
! [SV249: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 ) )
= $true )
| ( ( ! [SY964: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY964 )
| ! [SY965: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY965 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY965 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SY965 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY964 @ SY965 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SY964 ) @ SY965 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2905]) ).
thf(3208,plain,
! [SV250: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 ) )
= $true )
| ( ( ! [SY966: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY966 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY966 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY966 @ SV250 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2906]) ).
thf(3209,plain,
! [SV251: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 ) )
= $true )
| ( ( ! [SY967: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY967 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SY967 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SY967 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2907]) ).
thf(3210,plain,
! [SV252: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 ) )
= $true )
| ( ( ! [SY968: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY968 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY968 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY968 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY968 @ SY968 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2908]) ).
thf(3211,plain,
! [SV253: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 ) )
= $true )
| ( ( ! [SY969: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY969 )
| ! [SY970: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY970 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY970 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SY969 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SY970 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY969 @ SY970 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2909]) ).
thf(3212,plain,
! [SV254: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV254 ) )
= $true )
| ( ( ! [SY971: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY971 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV254 ) @ SY971 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV254 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY971 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2910]) ).
thf(3213,plain,
! [SV255: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 ) )
= $true )
| ( ( ! [SY972: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY972 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY972 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY972 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SY972 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY972 @ SY972 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(3214,plain,
! [SV256: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 ) )
= $true )
| ( ( ! [SY973: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY973 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY973 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SY973 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2912]) ).
thf(3215,plain,
! [SV257: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV257 ) )
= $true )
| ( ( ! [SY974: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY974 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV257 @ SY974 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY974 @ SV257 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2913]) ).
thf(3216,plain,
! [SV258: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 ) )
= $true )
| ( ( ! [SY975: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY975 )
| ~ ( ( SY975 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SY975 ) @ SY975 )
= SV258 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2914]) ).
thf(3217,plain,
! [SV259: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 ) )
= $true )
| ( ( ! [SY976: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY976 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY976 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SY976 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2915]) ).
thf(3218,plain,
! [SV260: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 ) )
= $true )
| ( ( ! [SY977: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY977 )
| ~ ( ( SY977 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SY977 ) @ SV260 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2916]) ).
thf(3219,plain,
! [SV304: $i,SV261: $i] :
( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) )
| ( SV261 = SV304 ) )
| ~ ( ( SV261 != SV304 )
| ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2917]) ).
thf(3220,plain,
! [SV262: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV262 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV262 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV262 @ SV262 ) )
= SV262 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2918]) ).
thf(3221,plain,
! [SV263: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 ) )
= $true )
| ( ( ! [SY979: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY979 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY979 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY979 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2919]) ).
thf(3222,plain,
! [SV264: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 ) )
= $true )
| ( ( ! [SY980: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY980 )
| ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SY980 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY980 @ SV264 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY980 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SY980 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2920]) ).
thf(3223,plain,
! [SV265: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV265 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV265 ) )
= SV265 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2921]) ).
thf(3224,plain,
! [SV266: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV266 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV266 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV266 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2922]) ).
thf(3225,plain,
! [SV267: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 ) )
= $true )
| ( ( ! [SY981: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY981 )
| ! [SY982: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY982 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY981 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY981 @ SY982 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY982 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2923]) ).
thf(3226,plain,
! [SV268: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 ) )
= $true )
| ( ( ! [SY983: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY983 )
| ! [SY984: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY984 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SY983 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY984 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY984 @ SY983 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2924]) ).
thf(3227,plain,
! [SV269: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV269 ) )
= $true )
| ( ( ! [SY985: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY985 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV269 @ SV269 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY985 @ SY985 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(3228,plain,
! [SV270: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 ) )
= $true )
| ( ( ! [SY986: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY986 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY986 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SY986 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SY986 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(3229,plain,
! [SV271: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 ) )
= $true )
| ( ( ! [SY987: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY987 )
| ! [SY988: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY988 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY988 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ SY987 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SY987 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2927]) ).
thf(3230,plain,
! [SV305: $i,SV272: $i] :
( ( ~ ( ~ ( ~ ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
| ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) )
| ~ ( ~ ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) )
| ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3231,plain,
! [SV273: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 ) )
= $true )
| ( ( ! [SY990: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY990 )
| ! [SY991: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY991 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SY990 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY991 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY991 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY991 @ SY990 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2929]) ).
thf(3232,plain,
! [SV274: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV274 ) )
= $true )
| ( ( ! [SY992: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY992 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV274 @ SY992 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY992 @ SV274 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2930]) ).
thf(3233,plain,
! [SV275: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 ) )
= $true )
| ( ( ! [SY993: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY993 )
| ! [SY994: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY994 )
| ( SV275 != SY993 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY993 @ SY994 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SY994 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2931]) ).
thf(3234,plain,
! [SV276: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 ) )
= $true )
| ( ( ! [SY995: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY995 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY995 @ SV276 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SY995 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2932]) ).
thf(3235,plain,
! [SV277: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV277 ) )
= $true )
| ( ( ! [SY996: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY996 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV277 @ SY996 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SY996 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2933]) ).
thf(3236,plain,
! [SV278: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV278 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV278 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV278 @ SV278 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2934]) ).
thf(3237,plain,
! [SV279: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV279 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV279 ) )
| ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ SV279 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2935]) ).
thf(3238,plain,
! [SV280: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 ) )
= $true )
| ( ( ! [SY997: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY997 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY997 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SY997 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SY997 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2936]) ).
thf(3239,plain,
! [SV281: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 ) )
= $true )
| ( ( ! [SY998: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY998 )
| ( SV281 != SY998 )
| ( SY998 = SV281 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2937]) ).
thf(3240,plain,
! [SV282: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 ) )
= $true )
| ( ( ! [SY999: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY999 )
| ! [SY1000: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1000 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1000 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SY1000 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY999 @ SY1000 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SY999 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2938]) ).
thf(3241,plain,
! [SV283: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 ) )
= $true )
| ( ( ! [SY1001: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1001 )
| ! [SY1002: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1002 )
| ! [SY1003: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1003 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SY1002 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1001 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1001 @ SY1003 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SY1001 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1002 @ SY1003 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2939]) ).
thf(3242,plain,
! [SV284: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 ) )
= $true )
| ( ( ! [SY1004: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1004 )
| ! [SY1005: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1005 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1005 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SY1004 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SY1005 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1004 @ SY1005 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2940]) ).
thf(3243,plain,
! [SV285: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV285 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV285 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2941]) ).
thf(3244,plain,
! [SV286: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 ) )
= $true )
| ( ( ! [SY1006: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1006 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SY1006 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1006 @ SV286 ) )
| ( SV286 = SY1006 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2942]) ).
thf(3245,plain,
! [SV287: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 ) )
= $true )
| ( ( ! [SY1007: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1007 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SY1007 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1007 @ SV287 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1007 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SY1007 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2943]) ).
thf(3246,plain,
! [SV288: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 ) )
= $true )
| ( ( ! [SY1008: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1008 )
| ! [SY1009: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1009 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1008 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1008 @ SY1009 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1009 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(3247,plain,
! [SV289: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 ) )
= $true )
| ( ( ! [SY1010: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1010 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1010 @ SY1010 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1010 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2945]) ).
thf(3248,plain,
! [SV290: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV290 ) )
= $true )
| ( ( ! [SY1011: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1011 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV290 @ SY1011 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SY1011 @ SV290 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2946]) ).
thf(3249,plain,
! [SV291: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV291 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV291 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV291 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2947]) ).
thf(3250,plain,
! [SV292: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV292 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV292 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV292 ) @ SV292 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2948]) ).
thf(3251,plain,
! [SV293: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV293 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV293 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV293 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2949]) ).
thf(3252,plain,
! [SV294: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 ) )
= $true )
| ( ( ! [SY1012: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1012 )
| ! [SY1013: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1013 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1012 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1012 @ SY1013 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1013 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2950]) ).
thf(3253,plain,
! [SV295: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 ) )
= $true )
| ( ( ! [SY1014: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1014 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1014 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1014 @ SY1014 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3254,plain,
! [SV296: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 ) )
= $true )
| ( ( ! [SY1015: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1015 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY1015 ) )
| ( SV296 = SY1015 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2952]) ).
thf(3255,plain,
! [SV297: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 ) )
= $true )
| ( ( ! [SY1016: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1016 )
| ! [SY1017: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1017 )
| ( SV297 != SY1016 )
| ~ ( ( SY1016 != SY1017 ) )
| ( SV297 != SY1017 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3256,plain,
! [SV298: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 ) )
= $true )
| ( ( ! [SY1018: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1018 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1018 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1018 @ SY1018 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SY1018 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2954]) ).
thf(3257,plain,
! [SV299: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 ) )
= $true )
| ( ( ! [SY1019: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1019 )
| ! [SY1020: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1020 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1020 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SY1019 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1020 @ SY1019 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2955]) ).
thf(3258,plain,
! [SV300: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 ) )
= $true )
| ( ( ! [SY1021: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1021 )
| ( SV300 != SY1021 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SY1021 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3259,plain,
! [SV301: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV301 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV301 @ SV301 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2957]) ).
thf(3260,plain,
! [SV1: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false )
| ( ( ! [SY662: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY662 )
| ! [SY663: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY663 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ SY662 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY663 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SY662 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2958]) ).
thf(3261,plain,
! [SV2: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false )
| ( ( ! [SY664: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY664 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY664 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SY664 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2959]) ).
thf(3262,plain,
! [SV3: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 )
= $false )
| ( ( ! [SY665: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY665 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY665 ) )
| ( SV3 = SY665 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3263,plain,
! [SV4: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false )
| ( ( ! [SY666: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY666 )
| ! [SY667: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY667 )
| ~ ( ( SY666 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY666 @ SY667 ) )
| ( SY667
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SY666 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(3264,plain,
! [SV5: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false )
| ( ( ! [SY668: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY668 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SY668 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SY668 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3265,plain,
! [SV6: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV6 )
= $false )
| ( ( ! [SY669: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY669 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV6 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV6 @ SY669 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(3266,plain,
! [SV7: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false )
| ( ( ! [SY670: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY670 )
| ! [SY671: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY671 )
| ( SV7 != SY670 )
| ( SY670 != SY671 )
| ( SV7 = SY671 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2964]) ).
thf(3267,plain,
! [SV8: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 )
= $false )
| ( ( ! [SY672: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY672 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SY672 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SY672 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2965]) ).
thf(3268,plain,
! [SV9: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false )
| ( ( ! [SY673: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY673 )
| ! [SY674: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY674 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SY673 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY674 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY673 @ SY674 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY674 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY673 @ SY674 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SY673 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(3269,plain,
! [SV10: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
= $false )
| ( ( ! [SY675: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY675 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY675 @ SV10 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2967]) ).
thf(3270,plain,
! [SV11: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false )
| ( ( ! [SY676: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY676 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SY676 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY676 @ SV11 ) )
| ( SV11 = SY676 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(3271,plain,
! [SV12: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV12 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV12 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(3272,plain,
! [SV13: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV13 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV13 )
= SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2970]) ).
thf(3273,plain,
! [SV14: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV14 )
= $false )
| ( ( ! [SY677: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY677 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV14 @ SY677 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY677 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(3274,plain,
! [SV15: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 )
= $false )
| ( ( ! [SY678: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY678 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SY678 ) )
= SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2972]) ).
thf(3275,plain,
! [SV16: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false )
| ( ( ! [SY679: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY679 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SY679 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SY679 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(3276,plain,
! [SV17: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV17 )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV17 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2974]) ).
thf(3277,plain,
! [SV18: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false )
| ( ( ! [SY680: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY680 )
| ! [SY681: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY681 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SY680 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY681 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY680 @ SY681 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY681 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY680 @ SY681 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SY680 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3278,plain,
! [SV19: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false )
| ( ( ! [SY682: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY682 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY682 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SY682 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3279,plain,
! [SV20: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
= $false )
| ( ( ! [SY683: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY683 )
| ! [SY684: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY684 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY683 @ SY684 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY683 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY684 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2977]) ).
thf(3280,plain,
! [SV21: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false )
| ( ( ! [SY685: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY685 )
| ! [SY686: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY686 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY686 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SY685 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY686 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY685 @ SY686 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY686 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY685 @ SY686 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SY685 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2978]) ).
thf(3281,plain,
! [SV22: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false )
| ( ( ! [SY687: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY687 )
| ! [SY688: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY688 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SY687 ) @ SY688 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SY688 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY687 @ SY688 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3282,plain,
! [SV23: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false )
| ( ( ! [SY689: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY689 )
| ! [SY690: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY690 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SY689 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY690 @ SY689 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2980]) ).
thf(3283,plain,
! [SV24: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false )
| ( ( ! [SY691: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY691 )
| ! [SY692: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY692 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SY691 ) @ SY692 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY691 @ SY692 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2981]) ).
thf(3284,plain,
! [SV25: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
= $false )
| ( ( ! [SY693: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY693 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY693 @ SV25 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SY693 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3285,plain,
! [SV26: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false )
| ( ( ! [SY694: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY694 )
| ! [SY695: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY695 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY694 ) )
| ( SY694 != SY695 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY695 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(3286,plain,
! [SV27: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false )
| ( ( ! [SY696: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY696 )
| ! [SY697: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY697 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY697 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SY697 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY696 @ SY697 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SY696 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(3287,plain,
! [SV28: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false )
| ( ( ! [SY698: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY698 )
| ! [SY699: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY699 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY699 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SY698 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY699 @ SV28 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2985]) ).
thf(3288,plain,
! [SV29: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false )
| ( ( ! [SY700: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY700 )
| ! [SY701: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY701 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SY700 ) @ SY701 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SY701 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3289,plain,
! [SV30: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false )
| ( ( ! [SY702: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY702 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY702 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY702 @ SY702 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SY702 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SY702 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2987]) ).
thf(3290,plain,
! [SV31: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false )
| ( ( ~ ! [SY703: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY703 )
| ( SV31 != SY703 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3291,plain,
! [SV32: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false )
| ( ( ! [SY704: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY704 )
| ! [SY705: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY705 )
| ( SV32 != SY704 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY704 @ SY705 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SY705 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3292,plain,
! [SV33: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false )
| ( ( ! [SY706: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY706 )
| ! [SY707: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY707 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SY707 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY706 @ SY707 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SY706 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3293,plain,
! [SV34: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false )
| ( ( ! [SY708: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY708 )
| ! [SY709: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY709 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY709 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SY708 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SY708 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY709 @ SY708 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SY708 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3294,plain,
! [SV35: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__34425___24a1 @ SV35 ) )
| ( SV35 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2992]) ).
thf(3295,plain,
! [SV35: $i] :
( ( ~ ( ( SV35 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( c_24__prop__34425___24a1 @ SV35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2992]) ).
thf(3296,plain,
! [SV36: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV36 )
= $false )
| ( ( ! [SY710: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY710 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV36 @ SY710 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY710 @ SV36 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3297,plain,
! [SV37: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV37 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3298,plain,
! [SV38: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false )
| ( ( ! [SY711: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY711 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY711 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY711 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SY711 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY711 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SY711 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3299,plain,
! [SV39: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 )
= $false )
| ( ( ! [SY712: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY712 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY712 @ SV39 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SY712 )
= SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3300,plain,
! [SV40: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 )
= $false )
| ( ( ! [SY713: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY713 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SY713 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SY713 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3301,plain,
! [SV41: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV41 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV41 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV41 ) @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2998]) ).
thf(3302,plain,
! [SV42: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
= $false )
| ( ( ! [SY714: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY714 )
| ! [SY715: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY715 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SY714 ) @ SY715 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SY715 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SY714 @ SY715 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2999]) ).
thf(3303,plain,
! [SV43: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false )
| ( ( ! [SY716: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY716 )
| ! [SY717: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY717 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY716 @ SY717 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY716 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY717 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY716 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY717 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY716 @ SY717 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3304,plain,
! [SV44: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false )
| ( ( ! [SY718: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY718 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY718 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SY718 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SY718 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3305,plain,
! [SV45: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false )
| ( ( ! [SY719: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY719 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SY719 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY719 @ SV45 ) )
| ( SV45 = SY719 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3306,plain,
! [SV46: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false )
| ( ( ! [SY720: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY720 )
| ~ ( ( SV46 != SY720 ) )
| ( SY720 != SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3307,plain,
! [SV47: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 )
= $false )
| ( ( ! [SY721: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY721 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SY721 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY721 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3004]) ).
thf(3308,plain,
! [SV48: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
= $false )
| ( ( ! [SY722: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY722 )
| ! [SY723: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY723 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY722 @ SY723 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SY722 ) @ SY723 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3005]) ).
thf(3309,plain,
! [SV49: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false )
| ( ( ! [SY724: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY724 )
| ! [SY725: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY725 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY725 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SY725 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY724 @ SY725 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SY724 ) @ SY725 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3310,plain,
! [SV50: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false )
| ( ( ! [SY726: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY726 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY726 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SY726 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SY726 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3311,plain,
! [SV51: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 )
= $false )
| ( ( ! [SY727: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY727 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SY727 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SY727 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3312,plain,
! [SV52: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false )
| ( ( ! [SY728: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY728 )
| ~ ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY728 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SY728 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3313,plain,
! [SV53: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV53 )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV53 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3010]) ).
thf(3314,plain,
! [SV54: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false )
| ( ( ! [SY729: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY729 )
| ! [SY730: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY730 )
| ! [SY731: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY731 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SY729 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY730 @ SY729 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY731 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY730 @ SY731 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3011]) ).
thf(3315,plain,
! [SV55: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV55 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV55 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV55 ) @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3316,plain,
! [SV56: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
= $false )
| ( ( ! [SY732: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY732 )
| ! [SY733: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY733 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY732 @ SY733 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY732 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SY733 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3317,plain,
! [SV57: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false )
| ( ( ! [SY734: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY734 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SY734 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY734 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY734 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SY734 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3014]) ).
thf(3318,plain,
! [SV58: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false )
| ( ( ! [SY735: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY735 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY735 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY735 @ SY735 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3015]) ).
thf(3319,plain,
! [SV59: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false )
| ( ( ! [SY736: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY736 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SY736 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY736 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY736 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3016]) ).
thf(3320,plain,
! [SV60: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV60 )
= $false )
| ( ( ! [SY737: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY737 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY737 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ SY737 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3017]) ).
thf(3321,plain,
! [SV61: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
= $false )
| ( ( ! [SY738: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY738 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SY738 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SY738 ) )
| ( SV61 = SY738 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3322,plain,
! [SV62: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false )
| ( ( ! [SY739: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY739 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY739 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SY739 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SY739 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY739 @ SV62 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3323,plain,
! [SV63: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false )
| ( ( ! [SY740: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY740 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
| ~ ( ( SY740 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY740 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SY740 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY740 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SY740 ) ) @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3324,plain,
! [SV64: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
= $false )
| ( ( ! [SY741: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY741 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SY741 ) )
| ( SV64 != SY741 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3325,plain,
! [SV65: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false )
| ( ( ! [SY742: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY742 )
| ! [SY743: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY743 )
| ! [SY744: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY744 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SY742 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY743 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY744 @ SY742 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY743 @ SY744 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3022]) ).
thf(3326,plain,
! [SV66: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false )
| ( ( ! [SY745: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY745 )
| ! [SY746: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY746 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY746 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY745 @ SY746 ) )
| ( SV66 = SY745 ) )
| ~ ( ( SV66 != SY745 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY746 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY745 @ SY746 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3023]) ).
thf(3327,plain,
! [SV67: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 )
= $false )
| ( ( ! [SY747: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY747 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SY747 ) )
| ( SV67 = SY747 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY747 @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3024]) ).
thf(3328,plain,
! [SV68: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false )
| ( ( ! [SY748: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY748 )
| ! [SY749: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY749 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY748 @ SY749 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY748 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY749 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY748 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY749 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY748 @ SY749 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3025]) ).
thf(3329,plain,
! [SV69: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV69 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV69 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV69 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3026]) ).
thf(3330,plain,
! [SV70: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false )
| ( ( ! [SY750: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY750 )
| ! [SY751: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY751 )
| ! [SY752: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY752 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SY750 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY751 @ SY752 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SY751 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY750 @ SY752 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3331,plain,
! [SV71: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 )
= $false )
| ( ( ! [SY753: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY753 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SY753 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SY753 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3028]) ).
thf(3332,plain,
! [SV72: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false )
| ( ( ! [SY754: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY754 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SY754 ) )
| ~ ( ( SV72 != SY754 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SY754 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3029]) ).
thf(3333,plain,
! [SV73: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
= $false )
| ( ( ! [SY755: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY755 )
| ! [SY756: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY756 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY755 ) @ SY756 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY756 ) @ SY755 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3030]) ).
thf(3334,plain,
! [SV74: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV74 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV74 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3335,plain,
! [SV75: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false )
| ( ( ! [SY757: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY757 )
| ! [SY758: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY758 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY758 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY757 @ SY758 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY757 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3032]) ).
thf(3336,plain,
! [SV76: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
= $false )
| ( ( ! [SY759: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY759 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SY759 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY759 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3337,plain,
! [SV77: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
= $false )
| ( ( ! [SY760: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY760 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SY760 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SY760 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3034]) ).
thf(3338,plain,
! [SV78: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false )
| ( ( ! [SY761: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY761 )
| ~ ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY761 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY761 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3035]) ).
thf(3339,plain,
! [SV79: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false )
| ( ( ! [SY762: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY762 )
| ~ ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SY762 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY762 @ SV79 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY762 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SY762 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3340,plain,
! [SV80: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY763 )
| ~ ( ( SY763 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SY763 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3341,plain,
! [SV81: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
= $false )
| ( ( ! [SY764: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY764 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY764 @ SV81 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SY764 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3342,plain,
! [SV82: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false )
| ( ( ! [SY765: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY765 )
| ! [SY766: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY766 )
| ~ ( ( SY766 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY766 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY766 @ SY765 ) )
| ( SV82 = SY765 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3039]) ).
thf(3343,plain,
! [SV83: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
= $false )
| ( ( ! [SY767: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY767 )
| ~ ( ( SY767 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SY767 ) @ SY767 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3344,plain,
! [SV84: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false )
| ( ( ! [SY768: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY768 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SY768 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SY768 ) )
| ( SV84 = SY768 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SY768 ) )
| ( SV84 = SY768 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SY768 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3345,plain,
! [SV85: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV85 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3346,plain,
! [SV86: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false )
| ( ( ! [SY769: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY769 )
| ! [SY770: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY770 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SY770 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY769 @ SY770 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SY769 ) @ SY770 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3043]) ).
thf(3347,plain,
( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3044]) ).
thf(3348,plain,
( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK2_SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK2_SX0 @ sK2_SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sK2_SX0 @ sK1_V0__n ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3044]) ).
thf(3349,plain,
! [SV302: $i,SV87: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) )
| ( SV87 = SV302 ) )
| ~ ( ( SV87 != SV302 )
| ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3350,plain,
! [SV88: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false )
| ( ( ! [SY772: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY772 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY772 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SY772 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3046]) ).
thf(3351,plain,
! [SV89: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false )
| ( ( ! [SY773: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY773 )
| ! [SY774: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY774 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SY773 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY773 @ SY774 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SY774 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3352,plain,
! [SV90: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false )
| ( ( ! [SY775: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY775 )
| ! [SY776: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY776 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY775 ) )
| ( SY775 != SY776 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY776 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3353,plain,
! [SV91: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV91 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3354,plain,
! [SV92: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV92 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV92 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV92 @ SV92 )
= SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3355,plain,
! [SV93: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false )
| ( ( ! [SY777: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY777 )
| ~ ! [SY778: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY778 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY778 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY778 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY777 @ SY778 ) ) )
| ( SV93 = SY777 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3051]) ).
thf(3356,plain,
! [SV94: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false )
| ( ( ! [SY779: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY779 )
| ! [SY780: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY780 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY779 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY780 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY780 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SY779 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY780 @ SV94 ) @ SY779 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3052]) ).
thf(3357,plain,
! [SV95: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV95 )
= $false )
| ( ( ( SV95 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV95 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3053]) ).
thf(3358,plain,
! [SV96: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 )
= $false )
| ( ( ! [SY781: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY781 )
| ( SV96 != SY781 )
| ( SY781 = SV96 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3054]) ).
thf(3359,plain,
! [SV97: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false )
| ( ( ! [SY782: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY782 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY782 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SY782 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3055]) ).
thf(3360,plain,
! [SV98: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV98 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV98 @ SV98 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3056]) ).
thf(3361,plain,
! [SV99: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false )
| ( ( ! [SY783: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY783 )
| ! [SY784: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY784 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY783 @ SY784 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY784 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY783 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY784 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY783 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY783 @ SY784 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3362,plain,
! [SV100: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
| ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3058]) ).
thf(3363,plain,
! [SV100: $i] :
( ( ~ ( ~ ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( c_24__prop__34426___24a1 @ SV100 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3058]) ).
thf(3364,plain,
! [SV101: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false )
| ( ( ! [SY785: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY785 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SY785 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY785 @ SY785 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3365,plain,
! [SV102: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false )
| ( ( ! [SY786: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY786 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY786 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY786 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3366,plain,
! [SV103: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 )
= $false )
| ( ( ! [SY787: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY787 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SY787 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SY787 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3367,plain,
! [SV104: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY788 )
| ! [SY789: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY789 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY789 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ SY788 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY789 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SY788 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3062]) ).
thf(3368,plain,
! [SV105: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false )
| ( ( ! [SY790: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY790 )
| ! [SY791: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY791 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY791 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SY790 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SY790 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SY790 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY791 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SY790 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3369,plain,
! [SV106: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV106 )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV106 @ SV106 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3370,plain,
! [SV107: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false )
| ( ( ! [SY792: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY792 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY792 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY792 @ SY792 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY792 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3065]) ).
thf(3371,plain,
! [SV108: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false )
| ( ( ! [SY793: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY793 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY793 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY793 ) )
| ( SV108 = SY793 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3372,plain,
! [SV109: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false )
| ( ( ! [SY794: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY794 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY794 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY794 ) )
| ( SV109 = SY794 ) )
| ~ ( ( SV109 != SY794 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY794 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3067]) ).
thf(3373,plain,
! [SV110: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false )
| ( ( ! [SY795: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY795 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY795 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SY795 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SY795 @ SV110 )
| ( SV110 = SY795 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3374,plain,
! [SV111: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false )
| ( ( ! [SY796: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY796 )
| ! [SY797: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY797 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY797 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SY797 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY796 @ SY797 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SY796 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3375,plain,
! [SV112: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false )
| ( ( ! [SY798: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY798 )
| ! [SY799: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY799 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY799 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SY798 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY799 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY799 @ SY798 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3070]) ).
thf(3376,plain,
! [SV113: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false )
| ( ( ! [SY800: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY800 )
| ! [SY801: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY801 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY800 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY800 @ SY801 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY801 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3377,plain,
! [SV114: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 )
= $false )
| ( ( ! [SY802: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY802 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SY802 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3378,plain,
! [SV115: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false )
| ( ( ! [SY803: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY803 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SY803 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SY803 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3379,plain,
! [SV116: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV116 )
= $false )
| ( ( ! [SY804: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY804 )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV116 @ SY804 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3074]) ).
thf(3380,plain,
! [SV117: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false )
| ( ( ! [SY805: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY805 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY805 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY805 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY805 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SY805 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3075]) ).
thf(3381,plain,
! [SV118: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false )
| ( ( ! [SY806: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY806 )
| ! [SY807: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY807 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY806 ) )
| ( SY806 != SY807 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY807 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3076]) ).
thf(3382,plain,
! [SV119: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV119 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV119 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3077]) ).
thf(3383,plain,
! [SV120: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false )
| ( ( ! [SY808: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY808 )
| ! [SY809: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY809 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY809 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SY809 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY808 @ SY809 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SY808 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3384,plain,
! [SV121: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false )
| ( ( ! [SY810: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY810 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY810 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SY810 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3079]) ).
thf(3385,plain,
! [SV122: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false )
| ( ( ! [SY811: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY811 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY811 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SY811 ) @ SV122 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SY811 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY811 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3386,plain,
! [SV123: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false )
| ( ( ! [SY812: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY812 )
| ! [SY813: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY813 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY813 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SY812 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SY813 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY812 @ SY813 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3387,plain,
! [SV124: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV124 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 )
= SV124 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3388,plain,
! [SV125: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false )
| ( ( ! [SY814: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY814 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SY814 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY814 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY814 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SY814 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3389,plain,
! [SV126: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV126 )
= $false )
| ( ( SV126 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3084]) ).
thf(3390,plain,
! [SV127: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false )
| ( ( ! [SY815: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY815 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SY815 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY815 @ SY815 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3391,plain,
! [SV128: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV128 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV128 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV128 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3392,plain,
! [SV129: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false )
| ( ( ! [SY816: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY816 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SY816 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY816 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY816 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SY816 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3087]) ).
thf(3393,plain,
! [SV130: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false )
| ( ( ! [SY817: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY817 )
| ! [SY818: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY818 )
| ! [SY819: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY819 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SY818 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY817 @ SY819 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY817 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SY817 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY818 @ SY819 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3088]) ).
thf(3394,plain,
! [SV131: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false )
| ( ( ! [SY820: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY820 )
| ! [SY821: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY821 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SY820 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY820 @ SY821 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SY821 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3395,plain,
! [SV132: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false )
| ( ( ! [SY822: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY822 )
| ! [SY823: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY823 )
| ! [SY824: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY824 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SY822 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY823 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY823 @ SY824 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SY823 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY822 @ SY824 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3396,plain,
! [SV133: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3091]) ).
thf(3397,plain,
! [SV134: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false )
| ( ( ! [SY825: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY825 )
| ! [SY826: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY826 )
| ~ ( ( SY825 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY825 @ SY826 ) )
| ( SY826
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SY825 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3398,plain,
! [SV135: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false )
| ( ( ! [SY827: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY827 )
| ! [SY828: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY828 )
| ! [SY829: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY829 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY827 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY828 @ SY829 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY828 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY827 @ SY829 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3093]) ).
thf(3399,plain,
! [SV136: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY830 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SY830 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY830 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3400,plain,
! [SV137: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
= $false )
| ( ( ! [SY831: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY831 )
| ! [SY832: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY832 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY831 @ SY832 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY831 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY832 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3401,plain,
! [SV138: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV138 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV138 @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3402,plain,
! [SV139: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false )
| ( ( ! [SY833: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY833 )
| ! [SY834: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY834 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY833 ) )
| ( SY833 != SY834 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY834 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3097]) ).
thf(3403,plain,
! [SV140: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
= $false )
| ( ( ! [SY835: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY835 )
| ! [SY836: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY836 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY835 @ SY836 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SY835 ) @ SY836 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3098]) ).
thf(3404,plain,
! [SV141: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false )
| ( ( ! [SY837: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY837 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY837 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY837 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3099]) ).
thf(3405,plain,
! [SV142: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false )
| ( ( ! [SY838: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY838 )
| ! [SY839: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY839 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SY838 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SY839 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SY838 @ SY839 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3100]) ).
thf(3406,plain,
! [SV143: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV143 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV143 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV143 ) @ SV143 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3101]) ).
thf(3407,plain,
! [SV144: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false )
| ( ( ! [SY840: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY840 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY840 @ SY840 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY840 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3102]) ).
thf(3408,plain,
! [SV145: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 )
= $false )
| ( ( ! [SY841: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY841 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SY841 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SY841 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3103]) ).
thf(3409,plain,
! [SV146: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false )
| ( ( ! [SY842: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY842 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY842 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SY842 ) )
| ( SV146 = SY842 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3410,plain,
! [SV147: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
= $false )
| ( ( ! [SY843: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY843 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SY843 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY843 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3411,plain,
! [SV148: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false )
| ( ( ! [SY844: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY844 )
| ! [SY845: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY845 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SY844 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY844 @ SY845 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3106]) ).
thf(3412,plain,
! [SV149: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV149 )
= $false )
| ( ( ~ ( ( SV149 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV149 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3413,plain,
! [SV150: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV150 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV150 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV150 @ SV150 )
= SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3108]) ).
thf(3414,plain,
! [SV151: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false )
| ( ( ! [SY846: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY846 )
| ! [SY847: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY847 )
| ! [SY848: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY848 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SY847 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY846 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY846 @ SY848 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SY846 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY847 @ SY848 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3415,plain,
! [SV152: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false )
| ( ( ! [SY849: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY849 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SY849 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY849 @ SY849 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3416,plain,
! [SV153: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV153 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV153 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV153 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3111]) ).
thf(3417,plain,
! [SV154: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false )
| ( ( ! [SY850: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY850 )
| ! [SY851: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY851 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY851 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ SY850 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY851 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SY850 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3112]) ).
thf(3418,plain,
! [SV155: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV155 )
= $false )
| ( ( ! [SY852: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY852 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV155 @ SY852 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3113]) ).
thf(3419,plain,
! [SV156: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV156 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV156 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3114]) ).
thf(3420,plain,
! [SV157: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV157 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV157 ) @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3115]) ).
thf(3421,plain,
! [SV158: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false )
| ( ( ! [SY853: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY853 )
| ! [SY854: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY854 )
| ~ ( ( SV158 != SY853 ) )
| ( SY853 != SY854 )
| ( SV158 != SY854 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3116]) ).
thf(3422,plain,
! [SV159: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV159 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV159 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV159 @ SV159 ) )
= SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3423,plain,
! [SV160: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
= $false )
| ( ( ! [SY855: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY855 )
| ! [SY856: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY856 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SY855 ) @ SY856 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SY856 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY855 @ SY856 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3118]) ).
thf(3424,plain,
! [SV161: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false )
| ( ( ! [SY857: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY857 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SY857 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY857 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY857 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY857 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY857 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SY857 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3425,plain,
! [SV162: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false )
| ( ( ! [SY858: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY858 )
| ! [SY859: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY859 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY858 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY858 @ SY859 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY859 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3426,plain,
! [SV163: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV163 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV163 @ SV163 ) ) )
| ( SV163 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3427,plain,
! [SV164: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV164 )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV164 @ SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3122]) ).
thf(3428,plain,
! [SV165: $i] :
( ( ~ ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
| ( p @ SV165 )
| ~ ( p @ SV165 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3429,plain,
! [SV165: $i] :
( ( ~ ( ~ ( ( p @ SV165 )
| ~ ( p @ SV165 ) )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3430,plain,
! [SV166: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
= $false )
| ( ( ! [SY860: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY860 )
| ! [SY861: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY861 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY860 ) @ SY861 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY861 ) @ SY860 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3124]) ).
thf(3431,plain,
! [SV167: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY862 )
| ! [SY863: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY863 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SY862 ) @ SY863 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SY863 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY862 @ SY863 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3125]) ).
thf(3432,plain,
! [SV168: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV168 )
= $false )
| ( ( ! [SY864: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY864 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV168 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY864 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV168 @ SY864 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3433,plain,
! [SV169: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV169 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV169 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3127]) ).
thf(3434,plain,
! [SV170: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false )
| ( ( ! [SY865: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY865 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY865 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SY865 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SY865 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3128]) ).
thf(3435,plain,
! [SV171: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false )
| ( ( ! [SY866: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY866 )
| ! [SY867: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY867 )
| ! [SY868: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY868 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SY866 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY867 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY867 @ SY868 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SY867 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY866 @ SY868 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3129]) ).
thf(3436,plain,
! [SV172: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false )
| ( ( ! [SY869: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY869 )
| ! [SY870: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY870 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SY869 ) )
| ( SV172 != SY870 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY870 @ SY869 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3130]) ).
thf(3437,plain,
! [SV173: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV173 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV173 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3131]) ).
thf(3438,plain,
! [SV174: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false )
| ( ( ! [SY871: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY871 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SY871 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY871 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3132]) ).
thf(3439,plain,
! [SV175: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY872 )
| ! [SY873: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY873 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY873 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SY873 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY872 @ SY873 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SY872 ) @ SY873 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3440,plain,
! [SV176: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY874 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SY874 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SY874 )
= SV176 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3441,plain,
! [SV177: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false )
| ( ( ! [SY875: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY875 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SY875 ) )
| ~ ! [SY876: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY876 )
| ( SY875
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY876 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY876 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3135]) ).
thf(3442,plain,
! [SV178: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV178 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV178 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV178 )
= SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3136]) ).
thf(3443,plain,
! [SV179: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 )
= $false )
| ( ( ! [SY877: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY877 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SY877 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SY877 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3444,plain,
! [SV180: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV180 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV180 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3138]) ).
thf(3445,plain,
! [SV181: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false )
| ( ( ! [SY878: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY878 )
| ! [SY879: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY879 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SY878 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY878 @ SY879 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3139]) ).
thf(3446,plain,
! [SV182: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV182 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV182 @ SV182 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3140]) ).
thf(3447,plain,
! [SV183: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false )
| ( ( ! [SY880: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY880 )
| ( SV183 != SY880 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY880 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3141]) ).
thf(3448,plain,
! [SV184: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY881 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY881 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SY881 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3449,plain,
! [SV185: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false )
| ( ( ! [SY882: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY882 )
| ! [SY883: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY883 )
| ! [SY884: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY884 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY882 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SY882 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY884 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY883 @ SY884 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY882 @ SY884 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SY883 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3143]) ).
thf(3450,plain,
! [SV186: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false )
| ( ( ! [SY885: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY885 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SY885 ) )
| ~ ( ( SV186 != SY885 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SY885 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3451,plain,
! [SV187: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false )
| ( ( ! [SY886: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY886 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SY886 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SY886 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SY886 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SY886 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3452,plain,
! [SV188: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false )
| ( ( ! [SY887: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY887 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SY887 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY887 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SY887 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3146]) ).
thf(3453,plain,
! [SV189: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false )
| ( ( ! [SY888: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY888 )
| ! [SY889: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY889 )
| ~ ( ( SY889 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SY888 ) )
| ( SV189 = SY888 ) )
| ~ ( ( SV189 != SY888 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY889 @ SY888 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3454,plain,
! [SV190: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false )
| ( ( ! [SY890: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY890 )
| ! [SY891: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY891 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY891 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ SY890 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY891 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SY890 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3148]) ).
thf(3455,plain,
! [SV191: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV191 )
= $false )
| ( ( ! [SY892: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY892 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV191 @ SY892 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3456,plain,
! [SV192: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false )
| ( ( ! [SY893: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY893 )
| ! [SY894: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY894 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY893 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY893 @ SY894 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY894 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3457,plain,
! [SV193: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false )
| ( ( ! [SY895: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY895 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY895 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY895 @ SY895 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SY895 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3458,plain,
! [SV194: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false )
| ( ( ! [SY896: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY896 )
| ! [SY897: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY897 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SY896 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY897 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SY897 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY896 @ SY897 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3152]) ).
thf(3459,plain,
! [SV195: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 )
= $false )
| ( ( ! [SY898: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY898 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SY898 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SY898 @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3153]) ).
thf(3460,plain,
! [SV196: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false )
| ( ( ! [SY899: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY899 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY899 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY899 @ SY899 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY899 @ SV196 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3154]) ).
thf(3461,plain,
! [SV198: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false )
| ( ( ! [SY900: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY900 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY900 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY900 @ SY900 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SY900 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SY900 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY900 @ SY900 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3156]) ).
thf(3462,plain,
! [SV199: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
= $false )
| ( ( ! [SY901: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY901 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SY901 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY901 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3157]) ).
thf(3463,plain,
! [SV200: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false )
| ( ( ! [SY902: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY902 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SY902 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SY902 ) )
| ( SV200 = SY902 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SY902 ) )
| ( SV200 = SY902 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SY902 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3158]) ).
thf(3464,plain,
! [SV201: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV201 )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV201 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV201 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3159]) ).
thf(3465,plain,
! [SV202: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
= $false )
| ( ( ! [SY903: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY903 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SY903 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SY903 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3160]) ).
thf(3466,plain,
! [SV203: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV203 )
= $false )
| ( ( cCoq_2eZArith_2eZnumtheory_2eZis__gcd___24a3 @ SV203 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3161]) ).
thf(3467,plain,
! [SV204: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV204 )
= $false )
| ( ( ! [SY904: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY904 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV204 ) @ SY904 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV204 @ SY904 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3162]) ).
thf(3468,plain,
! [SV205: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV205 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV205 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3163]) ).
thf(3469,plain,
! [SV206: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false )
| ( ( ! [SY905: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY905 )
| ~ ~ ( ( SV206 != SY905 ) )
| ( SV206 = SY905 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3164]) ).
thf(3470,plain,
! [SV207: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false )
| ( ( ! [SY906: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY906 )
| ! [SY907: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY907 )
| ! [SY908: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY908 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SY906 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY907 @ SY908 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SY907 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY906 @ SY908 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3165]) ).
thf(3471,plain,
! [SV208: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 )
= $false )
| ( ( ! [SY909: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY909 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SY909 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SY909 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3166]) ).
thf(3472,plain,
! [SV209: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
= $false )
| ( ( ! [SY910: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY910 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SY910 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SY910 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3473,plain,
! [SV210: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 )
= $false )
| ( ( ! [SY911: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY911 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY911 @ SV210 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SY911 )
= SY911 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3168]) ).
thf(3474,plain,
! [SV211: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false )
| ( ( ! [SY912: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY912 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY912 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY912 ) )
| ( SV211 = SY912 ) )
| ~ ( ( SV211 != SY912 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SY912 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3169]) ).
thf(3475,plain,
! [SV212: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV212 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV212 @ SV212 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV212 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3476,plain,
! [SV213: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 )
= $false )
| ( ( ! [SY913: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY913 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SY913 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SY913 )
= SY913 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3477,plain,
! [SV214: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false )
| ( ( ! [SY914: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY914 )
| ! [SY915: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY915 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY915 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY915 @ SY914 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SY914 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3478,plain,
! [SV215: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false )
| ( ( ! [SY916: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY916 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY916 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SY916 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3173]) ).
thf(3479,plain,
! [SV216: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false )
| ( ( ! [SY917: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY917 )
| ~ ( ~ ( ~ ! [SY918: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY918 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY918 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY918 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY917 @ SY918 ) ) )
| ( SV216 = SY917 ) )
| ~ ( ( SV216 != SY917 )
| ! [SY919: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY919 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY919 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY919 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SY917 @ SY919 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3174]) ).
thf(3480,plain,
! [SV217: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false )
| ( ( ! [SY920: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY920 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY920 ) )
| ( SV217 = SY920 ) )
| ~ ( ( SV217 != SY920 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY920 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3175]) ).
thf(3481,plain,
! [SV218: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 )
= $false )
| ( ( ! [SY921: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY921 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SY921 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY921 @ SV218 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3176]) ).
thf(3482,plain,
! [SV219: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV219 )
= $false )
| ( ( ~ ( ( SV219 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV219 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3177]) ).
thf(3483,plain,
! [SV220: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV220 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV220 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3484,plain,
! [SV221: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false )
| ( ( ! [SY922: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY922 )
| ! [SY923: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY923 )
| ~ ( ( SY923 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SY923 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY922 @ SY923 ) )
| ( SV221 = SY922 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3485,plain,
! [SV222: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3486,plain,
! [SV223: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false )
| ( ( ! [SY924: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY924 )
| ~ ( ( SY924 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SY924 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3487,plain,
! [SV224: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false )
| ( ( ! [SY925: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY925 )
| ! [SY926: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY926 )
| ! [SY927: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY927 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY925 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SY925 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY927 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY926 @ SY927 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY925 @ SY927 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SY926 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3182]) ).
thf(3488,plain,
! [SV225: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false )
| ( ( ! [SY928: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY928 )
| ! [SY929: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY929 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY929 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SY929 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY928 @ SY929 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SY928 ) @ SY929 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3183]) ).
thf(3489,plain,
! [SV226: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false )
| ( ( ! [SY930: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY930 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY930 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SY930 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3184]) ).
thf(3490,plain,
! [SV227: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false )
| ( ( ! [SY931: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY931 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SY931 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY931 @ SV227 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY931 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SY931 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3185]) ).
thf(3491,plain,
! [SV228: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false )
| ( ( ! [SY932: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY932 )
| ! [SY933: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY933 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SY932 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SY932 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SY932 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY933 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SY932 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3186]) ).
thf(3492,plain,
! [SV229: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false )
| ( ( ! [SY934: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY934 )
| ! [SY935: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY935 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY935 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SY934 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY935 @ SY934 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY935 @ SV229 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3493,plain,
! [SV230: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV230 )
= $false )
| ( ( ! [SY936: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY936 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV230 @ SY936 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY936 @ SV230 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3188]) ).
thf(3494,plain,
! [SV231: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false )
| ( ( ! [SY937: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY937 )
| ! [SY938: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY938 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SY937 ) )
| ( SV231 = SY937 ) )
| ~ ( ( SV231 != SY937 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY938 @ SY937 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3189]) ).
thf(3495,plain,
! [SV232: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false )
| ( ( ! [SY939: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY939 )
| ! [SY940: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY940 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY940 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SY939 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY939 @ SY940 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY940 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY939 @ SY940 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY940 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SY939 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3190]) ).
thf(3496,plain,
! [SV233: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false )
| ( ( ! [SY941: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY941 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SY941 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY941 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY941 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SY941 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3191]) ).
thf(3497,plain,
! [SV234: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false )
| ( ( ! [SY942: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY942 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SY942 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY942 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY942 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3192]) ).
thf(3498,plain,
! [SV235: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false )
| ( ( ! [SY943: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY943 )
| ! [SY944: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY944 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY944 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SY943 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY943 @ SY944 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SY944 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3193]) ).
thf(3499,plain,
! [SV236: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false )
| ( ( ! [SY945: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY945 )
| ! [SY946: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY946 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY945 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY946 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SY945 ) @ SY946 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY945 @ SY946 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3194]) ).
thf(3500,plain,
! [SV237: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false )
| ( ( ! [SY947: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY947 )
| ! [SY948: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY948 )
| ( SV237 != SY947 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY947 @ SY948 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SY948 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3501,plain,
! [SV238: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false )
| ( ( ! [SY949: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY949 )
| ~ ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY949 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SY949 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SY949 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SY949 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3196]) ).
thf(3502,plain,
! [SV239: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
= $false )
| ( ( ! [SY950: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY950 )
| ~ ( ( SY950 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SY950 ) @ SY950 )
= SV239 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3197]) ).
thf(3503,plain,
! [SV303: $i,SV240: $i] :
( ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
| ~ ! [SY1022: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1022 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1022 @ SV240 ) ) ) )
| ~ ( ~ ~ ! [SY1023: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1023 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1023 @ SV240 ) ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3198]) ).
thf(3504,plain,
! [SV241: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false )
| ( ( ! [SY954: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY954 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SY954 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY954 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY954 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SY954 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3505,plain,
! [SV242: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV242 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV242 @ SV242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3506,plain,
! [SV243: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false )
| ( ( ! [SY955: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY955 )
| ! [SY956: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY956 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY955 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY956 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY955 @ SY956 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SY955 ) @ SY956 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3507,plain,
! [SV244: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false )
| ( ( ! [SY957: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY957 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY957 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY957 @ SY957 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY957 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY957 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY957 @ SY957 ) @ SV244 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3508,plain,
! [SV245: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false )
| ( ( ! [SY958: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY958 )
| ! [SY959: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY959 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY958 @ SY959 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY959 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY958 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY959 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY958 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY958 @ SY959 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3203]) ).
thf(3509,plain,
! [SV246: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false )
| ( ( ! [SY960: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY960 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY960 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SY960 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3204]) ).
thf(3510,plain,
! [SV247: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false )
| ( ( ! [SY961: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY961 )
| ! [SY962: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY962 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SY961 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SY961 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY962 @ SY961 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SY961 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3205]) ).
thf(3511,plain,
! [SV248: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 )
= $false )
| ( ( ! [SY963: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY963 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SY963 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SY963 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3206]) ).
thf(3512,plain,
! [SV249: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false )
| ( ( ! [SY964: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY964 )
| ! [SY965: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY965 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY965 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SY965 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY964 @ SY965 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SY964 ) @ SY965 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3207]) ).
thf(3513,plain,
! [SV250: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false )
| ( ( ! [SY966: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY966 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY966 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY966 @ SV250 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3208]) ).
thf(3514,plain,
! [SV251: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false )
| ( ( ! [SY967: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY967 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SY967 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SY967 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3515,plain,
! [SV252: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false )
| ( ( ! [SY968: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY968 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY968 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY968 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY968 @ SY968 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3210]) ).
thf(3516,plain,
! [SV253: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false )
| ( ( ! [SY969: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY969 )
| ! [SY970: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY970 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY970 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SY969 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SY970 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY969 @ SY970 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3211]) ).
thf(3517,plain,
! [SV254: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV254 )
= $false )
| ( ( ! [SY971: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY971 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV254 ) @ SY971 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV254 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY971 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3518,plain,
! [SV255: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false )
| ( ( ! [SY972: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY972 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY972 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY972 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SY972 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY972 @ SY972 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3519,plain,
! [SV256: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false )
| ( ( ! [SY973: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY973 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY973 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SY973 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3520,plain,
! [SV257: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV257 )
= $false )
| ( ( ! [SY974: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY974 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV257 @ SY974 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY974 @ SV257 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3521,plain,
! [SV258: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
= $false )
| ( ( ! [SY975: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY975 )
| ~ ( ( SY975 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SY975 ) @ SY975 )
= SV258 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3216]) ).
thf(3522,plain,
! [SV259: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false )
| ( ( ! [SY976: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY976 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY976 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SY976 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3217]) ).
thf(3523,plain,
! [SV260: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
= $false )
| ( ( ! [SY977: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY977 )
| ~ ( ( SY977 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SY977 ) @ SV260 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3218]) ).
thf(3524,plain,
! [SV304: $i,SV261: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) )
| ( SV261 = SV304 ) )
| ~ ( ( SV261 != SV304 )
| ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3525,plain,
! [SV262: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV262 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV262 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV262 @ SV262 ) )
= SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3220]) ).
thf(3526,plain,
! [SV263: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false )
| ( ( ! [SY979: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY979 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY979 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY979 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3527,plain,
! [SV264: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false )
| ( ( ! [SY980: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY980 )
| ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SY980 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY980 @ SV264 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY980 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SY980 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3222]) ).
thf(3528,plain,
! [SV265: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV265 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV265 ) )
= SV265 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3223]) ).
thf(3529,plain,
! [SV266: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV266 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV266 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV266 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3224]) ).
thf(3530,plain,
! [SV267: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false )
| ( ( ! [SY981: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY981 )
| ! [SY982: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY982 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY981 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY981 @ SY982 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY982 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3225]) ).
thf(3531,plain,
! [SV268: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false )
| ( ( ! [SY983: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY983 )
| ! [SY984: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY984 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SY983 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY984 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY984 @ SY983 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3532,plain,
! [SV269: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV269 )
= $false )
| ( ( ! [SY985: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY985 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV269 @ SV269 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY985 @ SY985 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3533,plain,
! [SV270: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false )
| ( ( ! [SY986: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY986 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY986 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SY986 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SY986 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3228]) ).
thf(3534,plain,
! [SV271: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false )
| ( ( ! [SY987: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY987 )
| ! [SY988: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY988 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY988 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ SY987 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY988 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SY987 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3535,plain,
! [SV305: $i,SV272: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
| ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) )
| ~ ( ~ ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) )
| ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3230]) ).
thf(3536,plain,
! [SV273: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false )
| ( ( ! [SY990: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY990 )
| ! [SY991: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY991 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SY990 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY991 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY991 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY991 @ SY990 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3537,plain,
! [SV274: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV274 )
= $false )
| ( ( ! [SY992: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY992 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV274 @ SY992 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY992 @ SV274 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3538,plain,
! [SV275: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false )
| ( ( ! [SY993: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY993 )
| ! [SY994: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY994 )
| ( SV275 != SY993 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY993 @ SY994 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SY994 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3539,plain,
! [SV276: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 )
= $false )
| ( ( ! [SY995: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY995 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY995 @ SV276 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SY995 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3234]) ).
thf(3540,plain,
! [SV277: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV277 )
= $false )
| ( ( ! [SY996: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY996 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV277 @ SY996 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SY996 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3541,plain,
! [SV278: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV278 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV278 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV278 @ SV278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3542,plain,
! [SV279: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV279 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV279 ) )
| ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ SV279 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3237]) ).
thf(3543,plain,
! [SV280: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false )
| ( ( ! [SY997: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY997 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY997 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SY997 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SY997 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3238]) ).
thf(3544,plain,
! [SV281: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 )
= $false )
| ( ( ! [SY998: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY998 )
| ( SV281 != SY998 )
| ( SY998 = SV281 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3239]) ).
thf(3545,plain,
! [SV282: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false )
| ( ( ! [SY999: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY999 )
| ! [SY1000: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1000 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1000 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SY1000 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY999 @ SY1000 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SY999 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3546,plain,
! [SV283: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false )
| ( ( ! [SY1001: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1001 )
| ! [SY1002: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1002 )
| ! [SY1003: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1003 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SY1002 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1001 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1001 @ SY1003 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SY1001 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1002 @ SY1003 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3547,plain,
! [SV284: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false )
| ( ( ! [SY1004: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1004 )
| ! [SY1005: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1005 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1005 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SY1004 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SY1005 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1004 @ SY1005 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3242]) ).
thf(3548,plain,
! [SV285: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV285 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV285 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3549,plain,
! [SV286: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false )
| ( ( ! [SY1006: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1006 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SY1006 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1006 @ SV286 ) )
| ( SV286 = SY1006 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3550,plain,
! [SV287: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false )
| ( ( ! [SY1007: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1007 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SY1007 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1007 @ SV287 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1007 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SY1007 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3245]) ).
thf(3551,plain,
! [SV288: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false )
| ( ( ! [SY1008: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1008 )
| ! [SY1009: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1009 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1008 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1008 @ SY1009 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1009 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3246]) ).
thf(3552,plain,
! [SV289: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false )
| ( ( ! [SY1010: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1010 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1010 @ SY1010 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1010 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3247]) ).
thf(3553,plain,
! [SV290: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV290 )
= $false )
| ( ( ! [SY1011: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1011 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV290 @ SY1011 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SY1011 @ SV290 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3248]) ).
thf(3554,plain,
! [SV291: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV291 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV291 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV291 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3249]) ).
thf(3555,plain,
! [SV292: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV292 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV292 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV292 ) @ SV292 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3250]) ).
thf(3556,plain,
! [SV293: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV293 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV293 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV293 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3251]) ).
thf(3557,plain,
! [SV294: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false )
| ( ( ! [SY1012: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1012 )
| ! [SY1013: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1013 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1012 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1012 @ SY1013 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1013 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3558,plain,
! [SV295: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false )
| ( ( ! [SY1014: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1014 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1014 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1014 @ SY1014 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3253]) ).
thf(3559,plain,
! [SV296: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 )
= $false )
| ( ( ! [SY1015: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1015 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SY1015 ) )
| ( SV296 = SY1015 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3254]) ).
thf(3560,plain,
! [SV297: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false )
| ( ( ! [SY1016: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1016 )
| ! [SY1017: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1017 )
| ( SV297 != SY1016 )
| ~ ( ( SY1016 != SY1017 ) )
| ( SV297 != SY1017 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3255]) ).
thf(3561,plain,
! [SV298: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false )
| ( ( ! [SY1018: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1018 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1018 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1018 @ SY1018 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SY1018 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3562,plain,
! [SV299: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false )
| ( ( ! [SY1019: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1019 )
| ! [SY1020: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1020 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1020 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SY1019 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1020 @ SY1019 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3257]) ).
thf(3563,plain,
! [SV300: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 )
= $false )
| ( ( ! [SY1021: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1021 )
| ( SV300 != SY1021 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SY1021 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3258]) ).
thf(3564,plain,
! [SV301: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV301 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV301 @ SV301 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3259]) ).
thf(3565,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
| ! [SY1024: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1024 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3260]) ).
thf(3566,plain,
! [SV2: $i,SV307: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV307 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV307 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SV307 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3261]) ).
thf(3567,plain,
! [SV3: $i,SV308: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV308 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV308 ) )
| ( SV3 = SV308 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3262]) ).
thf(3568,plain,
! [SV4: $i,SV309: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
| ! [SY1025: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1025 )
| ~ ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SY1025 ) )
| ( SY1025
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3263]) ).
thf(3569,plain,
! [SV5: $i,SV310: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3264]) ).
thf(3570,plain,
! [SV6: $i,SV311: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV311 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV6 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV6 @ SV311 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3265]) ).
thf(3571,plain,
! [SV7: $i,SV312: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
| ! [SY1026: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1026 )
| ( SV7 != SV312 )
| ( SV312 != SY1026 )
| ( SV7 = SY1026 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3266]) ).
thf(3572,plain,
! [SV8: $i,SV313: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV313 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SV313 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV313 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3267]) ).
thf(3573,plain,
! [SV9: $i,SV314: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
| ! [SY1027: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1027 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY1027 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SY1027 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY1027 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SY1027 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3268]) ).
thf(3574,plain,
! [SV10: $i,SV315: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV315 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV315 @ SV10 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SV315 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3269]) ).
thf(3575,plain,
! [SV11: $i,SV316: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV316 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SV316 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV316 @ SV11 ) )
| ( SV11 = SV316 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3270]) ).
thf(3576,plain,
! [SV12: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV12 @ SV12 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3577,plain,
! [SV14: $i,SV317: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV317 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV14 @ SV317 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV317 @ SV14 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3273]) ).
thf(3578,plain,
! [SV15: $i,SV318: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV318 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SV318 ) )
= SV15 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3274]) ).
thf(3579,plain,
! [SV16: $i,SV319: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV319 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3275]) ).
thf(3580,plain,
! [SV17: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV17 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV17 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3276]) ).
thf(3581,plain,
! [SV18: $i,SV320: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
| ! [SY1028: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1028 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY1028 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SY1028 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY1028 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SY1028 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3277]) ).
thf(3582,plain,
! [SV19: $i,SV321: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV321 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV321 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SV321 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3278]) ).
thf(3583,plain,
! [SV20: $i,SV322: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV322 )
| ! [SY1029: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1029 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV322 @ SY1029 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV322 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY1029 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3279]) ).
thf(3584,plain,
! [SV21: $i,SV323: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
| ! [SY1030: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1030 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1030 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY1030 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SY1030 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY1030 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SY1030 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3280]) ).
thf(3585,plain,
! [SV22: $i,SV324: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
| ! [SY1031: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1031 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SY1031 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SY1031 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SY1031 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3281]) ).
thf(3586,plain,
! [SV23: $i,SV325: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
| ! [SY1032: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1032 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ SV325 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3282]) ).
thf(3587,plain,
! [SV24: $i,SV326: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 )
| ! [SY1033: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1033 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SY1033 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SY1033 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3283]) ).
thf(3588,plain,
! [SV25: $i,SV327: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV327 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV327 @ SV25 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SV327 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3284]) ).
thf(3589,plain,
! [SV26: $i,SV328: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
| ! [SY1034: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1034 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
| ( SV328 != SY1034 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY1034 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3285]) ).
thf(3590,plain,
! [SV27: $i,SV329: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
| ! [SY1035: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1035 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1035 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SY1035 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SY1035 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3286]) ).
thf(3591,plain,
! [SV28: $i,SV330: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 )
| ! [SY1036: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1036 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1036 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1036 @ SV28 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3287]) ).
thf(3592,plain,
! [SV29: $i,SV331: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 )
| ! [SY1037: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1037 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SY1037 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SY1037 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3288]) ).
thf(3593,plain,
! [SV30: $i,SV332: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV332 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV332 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV332 @ SV332 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3289]) ).
thf(3594,plain,
! [SV31: $i] :
( ( ( ! [SY703: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY703 )
| ( SV31 != SY703 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3290]) ).
thf(3595,plain,
! [SV32: $i,SV333: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
| ! [SY1038: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1038 )
| ( SV32 != SV333 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SY1038 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SY1038 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3291]) ).
thf(3596,plain,
! [SV33: $i,SV334: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 )
| ! [SY1039: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1039 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SY1039 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SY1039 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3292]) ).
thf(3597,plain,
! [SV34: $i,SV335: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
| ! [SY1040: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1040 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1040 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3293]) ).
thf(3598,plain,
! [SV35: $i] :
( ( ~ ( p @ ( c_24__prop__34425___24a1 @ SV35 ) )
| ( SV35 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3294]) ).
thf(3599,plain,
! [SV35: $i] :
( ( ( SV35 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( c_24__prop__34425___24a1 @ SV35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3295]) ).
thf(3600,plain,
! [SV36: $i,SV336: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV336 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV36 @ SV336 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV336 @ SV36 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3296]) ).
thf(3601,plain,
! [SV37: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV37 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3297]) ).
thf(3602,plain,
! [SV38: $i,SV337: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV337 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3298]) ).
thf(3603,plain,
! [SV39: $i,SV338: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV338 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV338 @ SV39 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SV338 )
= SV39 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3299]) ).
thf(3604,plain,
! [SV40: $i,SV339: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV339 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SV339 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SV339 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3300]) ).
thf(3605,plain,
! [SV41: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV41 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV41 ) @ SV41 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3301]) ).
thf(3606,plain,
! [SV42: $i,SV340: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV340 )
| ! [SY1041: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1041 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SV340 ) @ SY1041 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SY1041 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV340 @ SY1041 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3302]) ).
thf(3607,plain,
! [SV43: $i,SV341: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
| ! [SY1042: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1042 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SY1042 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1042 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1042 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SY1042 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3303]) ).
thf(3608,plain,
! [SV44: $i,SV342: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3304]) ).
thf(3609,plain,
! [SV45: $i,SV343: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV343 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SV343 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV343 @ SV45 ) )
| ( SV45 = SV343 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3305]) ).
thf(3610,plain,
! [SV46: $i,SV344: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV344 )
| ~ ( ( SV46 != SV344 ) )
| ( SV344 != SV46 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3306]) ).
thf(3611,plain,
! [SV47: $i,SV345: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV345 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SV345 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV345 @ SV47 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3307]) ).
thf(3612,plain,
! [SV48: $i,SV346: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV346 )
| ! [SY1043: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1043 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV346 @ SY1043 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SV346 ) @ SY1043 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3308]) ).
thf(3613,plain,
! [SV49: $i,SV347: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 )
| ! [SY1044: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1044 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1044 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SY1044 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SY1044 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SY1044 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3309]) ).
thf(3614,plain,
! [SV50: $i,SV348: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3310]) ).
thf(3615,plain,
! [SV51: $i,SV349: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV349 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SV349 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV349 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3311]) ).
thf(3616,plain,
! [SV52: $i,SV350: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
| ~ ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3312]) ).
thf(3617,plain,
! [SV53: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV53 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV53 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3313]) ).
thf(3618,plain,
! [SV54: $i,SV351: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
| ! [SY1045: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1045 )
| ! [SY1046: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1046 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1045 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1046 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1045 @ SY1046 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3314]) ).
thf(3619,plain,
! [SV55: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV55 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV55 ) @ SV55 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3315]) ).
thf(3620,plain,
! [SV56: $i,SV352: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV352 )
| ! [SY1047: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1047 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ SY1047 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SY1047 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3316]) ).
thf(3621,plain,
! [SV57: $i,SV353: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3317]) ).
thf(3622,plain,
! [SV58: $i,SV354: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV354 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV354 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV354 @ SV354 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3318]) ).
thf(3623,plain,
! [SV59: $i,SV355: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3319]) ).
thf(3624,plain,
! [SV60: $i,SV356: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV356 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV356 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ SV356 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3320]) ).
thf(3625,plain,
! [SV61: $i,SV357: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV357 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SV357 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SV357 ) )
| ( SV61 = SV357 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3321]) ).
thf(3626,plain,
! [SV62: $i,SV358: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3322]) ).
thf(3627,plain,
! [SV63: $i,SV359: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
| ~ ( ( SV359 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3323]) ).
thf(3628,plain,
! [SV64: $i,SV360: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV360 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SV360 ) )
| ( SV64 != SV360 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3324]) ).
thf(3629,plain,
! [SV65: $i,SV361: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
| ! [SY1048: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1048 )
| ! [SY1049: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1049 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1048 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1049 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1048 @ SY1049 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3325]) ).
thf(3630,plain,
! [SV66: $i,SV362: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
| ! [SY1050: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1050 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY1050 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SY1050 ) )
| ( SV66 = SV362 ) )
| ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY1050 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SY1050 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3326]) ).
thf(3631,plain,
! [SV67: $i,SV363: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV363 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SV363 ) )
| ( SV67 = SV363 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV363 @ SV67 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3327]) ).
thf(3632,plain,
! [SV68: $i,SV364: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
| ! [SY1051: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1051 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SY1051 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY1051 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY1051 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SY1051 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3328]) ).
thf(3633,plain,
! [SV69: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV69 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV69 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3329]) ).
thf(3634,plain,
! [SV70: $i,SV365: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
| ! [SY1052: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1052 )
| ! [SY1053: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1053 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1052 @ SY1053 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SY1052 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SY1053 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3330]) ).
thf(3635,plain,
! [SV71: $i,SV366: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV366 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SV366 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SV366 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3331]) ).
thf(3636,plain,
! [SV72: $i,SV367: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) )
| ~ ( ( SV72 != SV367 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3332]) ).
thf(3637,plain,
! [SV73: $i,SV368: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV368 )
| ! [SY1054: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1054 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV368 ) @ SY1054 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY1054 ) @ SV368 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3333]) ).
thf(3638,plain,
! [SV75: $i,SV369: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
| ! [SY1055: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1055 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1055 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SY1055 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3335]) ).
thf(3639,plain,
! [SV76: $i,SV370: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV370 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SV370 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV370 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3336]) ).
thf(3640,plain,
! [SV77: $i,SV371: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV371 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SV371 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SV371 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3337]) ).
thf(3641,plain,
! [SV78: $i,SV372: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 )
| ~ ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3338]) ).
thf(3642,plain,
! [SV79: $i,SV373: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
| ~ ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3339]) ).
thf(3643,plain,
! [SV80: $i,SV374: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 )
| ~ ( ( SV374 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3340]) ).
thf(3644,plain,
! [SV81: $i,SV375: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV375 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV375 @ SV81 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SV375 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3341]) ).
thf(3645,plain,
! [SV82: $i,SV376: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
| ! [SY1056: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1056 )
| ~ ( ( SY1056 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1056 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1056 @ SV376 ) )
| ( SV82 = SV376 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3342]) ).
thf(3646,plain,
! [SV83: $i,SV377: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV377 )
| ~ ( ( SV377 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SV377 ) @ SV377 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3343]) ).
thf(3647,plain,
! [SV84: $i,SV378: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3344]) ).
thf(3648,plain,
! [SV86: $i,SV379: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
| ! [SY1057: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1057 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SY1057 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SY1057 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SY1057 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3346]) ).
thf(3649,plain,
( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3347]) ).
thf(3650,plain,
( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3348]) ).
thf(3651,plain,
( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK2_SX0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK2_SX0 @ sK2_SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sK2_SX0 @ sK1_V0__n ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3348]) ).
thf(3652,plain,
! [SV302: $i,SV87: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) )
| ( SV87 = SV302 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3349]) ).
thf(3653,plain,
! [SV302: $i,SV87: $i] :
( ( ~ ( ( SV87 != SV302 )
| ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3349]) ).
thf(3654,plain,
! [SV88: $i,SV380: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV380 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV380 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SV380 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3350]) ).
thf(3655,plain,
! [SV89: $i,SV381: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
| ! [SY1058: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1058 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SY1058 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SY1058 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3351]) ).
thf(3656,plain,
! [SV90: $i,SV382: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
| ! [SY1059: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1059 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
| ( SV382 != SY1059 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY1059 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3352]) ).
thf(3657,plain,
! [SV91: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV91 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3353]) ).
thf(3658,plain,
! [SV92: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV92 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV92 @ SV92 )
= SV92 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3354]) ).
thf(3659,plain,
! [SV93: $i,SV383: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
| ~ ! [SY1060: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1060 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1060 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY1060 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ SY1060 ) ) )
| ( SV93 = SV383 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3355]) ).
thf(3660,plain,
! [SV94: $i,SV384: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
| ! [SY1061: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1061 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1061 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1061 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1061 @ SV94 ) @ SV384 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3356]) ).
thf(3661,plain,
! [SV95: $i] :
( ( ( SV95 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV95 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3357]) ).
thf(3662,plain,
! [SV96: $i,SV385: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV385 )
| ( SV96 != SV385 )
| ( SV385 = SV96 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3358]) ).
thf(3663,plain,
! [SV97: $i,SV386: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV386 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV386 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SV386 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3359]) ).
thf(3664,plain,
! [SV99: $i,SV387: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
| ! [SY1062: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1062 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SY1062 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY1062 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY1062 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SY1062 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3361]) ).
thf(3665,plain,
! [SV100: $i] :
( ( ~ ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
| ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3362]) ).
thf(3666,plain,
! [SV100: $i] :
( ( ~ ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( c_24__prop__34426___24a1 @ SV100 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3363]) ).
thf(3667,plain,
! [SV101: $i,SV388: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV388 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SV388 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV388 @ SV388 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3364]) ).
thf(3668,plain,
! [SV102: $i,SV389: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3365]) ).
thf(3669,plain,
! [SV103: $i,SV390: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV390 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SV390 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV390 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3366]) ).
thf(3670,plain,
! [SV104: $i,SV391: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 )
| ! [SY1063: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1063 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1063 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3367]) ).
thf(3671,plain,
! [SV105: $i,SV392: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
| ! [SY1064: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1064 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1064 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3368]) ).
thf(3672,plain,
! [SV107: $i,SV393: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV393 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV393 @ SV393 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ SV107 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3370]) ).
thf(3673,plain,
! [SV108: $i,SV394: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
| ( SV108 = SV394 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3371]) ).
thf(3674,plain,
! [SV109: $i,SV395: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3372]) ).
thf(3675,plain,
! [SV110: $i,SV396: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3373]) ).
thf(3676,plain,
! [SV111: $i,SV397: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
| ! [SY1065: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1065 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1065 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SY1065 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SY1065 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3374]) ).
thf(3677,plain,
! [SV112: $i,SV398: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
| ! [SY1066: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1066 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1066 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1066 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1066 @ SV398 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3375]) ).
thf(3678,plain,
! [SV113: $i,SV399: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
| ! [SY1067: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1067 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SY1067 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY1067 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3376]) ).
thf(3679,plain,
! [SV114: $i,SV400: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV400 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SV400 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3377]) ).
thf(3680,plain,
! [SV115: $i,SV401: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV401 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3378]) ).
thf(3681,plain,
! [SV116: $i,SV402: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV402 )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV116 @ SV402 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3379]) ).
thf(3682,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3380]) ).
thf(3683,plain,
! [SV118: $i,SV404: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
| ! [SY1068: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1068 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
| ( SV404 != SY1068 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY1068 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3381]) ).
thf(3684,plain,
! [SV120: $i,SV405: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
| ! [SY1069: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1069 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1069 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SY1069 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SY1069 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3383]) ).
thf(3685,plain,
! [SV121: $i,SV406: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV406 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV406 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SV406 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3384]) ).
thf(3686,plain,
! [SV122: $i,SV407: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3385]) ).
thf(3687,plain,
! [SV123: $i,SV408: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
| ! [SY1070: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1070 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1070 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SY1070 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SY1070 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3386]) ).
thf(3688,plain,
! [SV124: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 )
= SV124 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3387]) ).
thf(3689,plain,
! [SV125: $i,SV409: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3388]) ).
thf(3690,plain,
! [SV127: $i,SV410: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV410 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SV410 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV410 @ SV410 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3390]) ).
thf(3691,plain,
! [SV128: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV128 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV128 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV128 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3391]) ).
thf(3692,plain,
! [SV129: $i,SV411: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3392]) ).
thf(3693,plain,
! [SV130: $i,SV412: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
| ! [SY1071: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1071 )
| ! [SY1072: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1072 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SY1071 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SY1072 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1071 @ SY1072 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3393]) ).
thf(3694,plain,
! [SV131: $i,SV413: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
| ! [SY1073: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1073 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SY1073 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SY1073 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3394]) ).
thf(3695,plain,
! [SV132: $i,SV414: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
| ! [SY1074: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1074 )
| ! [SY1075: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1075 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1074 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1074 @ SY1075 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SY1074 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SY1075 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3395]) ).
thf(3696,plain,
! [SV133: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3396]) ).
thf(3697,plain,
! [SV134: $i,SV415: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
| ! [SY1076: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1076 )
| ~ ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SY1076 ) )
| ( SY1076
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3397]) ).
thf(3698,plain,
! [SV135: $i,SV416: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
| ! [SY1077: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1077 )
| ! [SY1078: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1078 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1077 @ SY1078 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY1077 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SY1078 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3398]) ).
thf(3699,plain,
! [SV136: $i,SV417: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV417 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SV417 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV417 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3399]) ).
thf(3700,plain,
! [SV137: $i,SV418: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV418 )
| ! [SY1079: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1079 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV418 @ SY1079 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV418 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY1079 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3400]) ).
thf(3701,plain,
! [SV138: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV138 @ SV138 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3401]) ).
thf(3702,plain,
! [SV139: $i,SV419: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
| ! [SY1080: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1080 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
| ( SV419 != SY1080 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY1080 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3402]) ).
thf(3703,plain,
! [SV140: $i,SV420: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV420 )
| ! [SY1081: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1081 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV420 @ SY1081 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SV420 ) @ SY1081 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3403]) ).
thf(3704,plain,
! [SV141: $i,SV421: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV421 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV421 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV421 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3404]) ).
thf(3705,plain,
! [SV142: $i,SV422: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
| ! [SY1082: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1082 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SY1082 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SY1082 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3405]) ).
thf(3706,plain,
! [SV143: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV143 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV143 ) @ SV143 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV143 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3406]) ).
thf(3707,plain,
! [SV144: $i,SV423: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV423 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3407]) ).
thf(3708,plain,
! [SV145: $i,SV424: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV424 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SV424 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SV424 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3408]) ).
thf(3709,plain,
! [SV146: $i,SV425: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
| ( SV146 = SV425 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3409]) ).
thf(3710,plain,
! [SV147: $i,SV426: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV426 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SV426 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV426 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3410]) ).
thf(3711,plain,
! [SV148: $i,SV427: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 )
| ! [SY1083: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1083 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SY1083 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3411]) ).
thf(3712,plain,
! [SV149: $i] :
( ( ( ~ ( ( SV149 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV149 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3412]) ).
thf(3713,plain,
! [SV150: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV150 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV150 @ SV150 )
= SV150 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3413]) ).
thf(3714,plain,
! [SV151: $i,SV428: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
| ! [SY1084: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1084 )
| ! [SY1085: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1085 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SY1084 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SY1085 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1084 @ SY1085 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3414]) ).
thf(3715,plain,
! [SV152: $i,SV429: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV429 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SV429 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV429 @ SV429 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3415]) ).
thf(3716,plain,
! [SV153: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV153 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV153 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3416]) ).
thf(3717,plain,
! [SV154: $i,SV430: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 )
| ! [SY1086: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1086 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1086 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3417]) ).
thf(3718,plain,
! [SV155: $i,SV431: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV431 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV155 @ SV431 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV155 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3418]) ).
thf(3719,plain,
! [SV158: $i,SV432: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
| ! [SY1087: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1087 )
| ~ ( ( SV158 != SV432 ) )
| ( SV432 != SY1087 )
| ( SV158 != SY1087 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3421]) ).
thf(3720,plain,
! [SV159: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV159 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV159 @ SV159 ) )
= SV159 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV159 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3422]) ).
thf(3721,plain,
! [SV160: $i,SV433: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV433 )
| ! [SY1088: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1088 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SV433 ) @ SY1088 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SY1088 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV433 @ SY1088 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3423]) ).
thf(3722,plain,
! [SV161: $i,SV434: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3424]) ).
thf(3723,plain,
! [SV162: $i,SV435: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
| ! [SY1089: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1089 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SY1089 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY1089 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3425]) ).
thf(3724,plain,
! [SV163: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV163 @ SV163 ) ) ) )
= $true )
| ( ( SV163 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV163 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3426]) ).
thf(3725,plain,
! [SV165: $i] :
( ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
| ( p @ SV165 )
| ~ ( p @ SV165 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3428]) ).
thf(3726,plain,
! [SV165: $i] :
( ( ~ ( ( p @ SV165 )
| ~ ( p @ SV165 ) )
| ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3429]) ).
thf(3727,plain,
! [SV166: $i,SV436: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV436 )
| ! [SY1090: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1090 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV436 ) @ SY1090 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY1090 ) @ SV436 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3430]) ).
thf(3728,plain,
! [SV167: $i,SV437: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV437 )
| ! [SY1091: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1091 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SV437 ) @ SY1091 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SY1091 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV437 @ SY1091 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3431]) ).
thf(3729,plain,
! [SV168: $i,SV438: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV438 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV168 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV438 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV168 @ SV438 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV168 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3432]) ).
thf(3730,plain,
! [SV170: $i,SV439: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3434]) ).
thf(3731,plain,
! [SV171: $i,SV440: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
| ! [SY1092: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1092 )
| ! [SY1093: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1093 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1092 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1092 @ SY1093 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SY1092 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SY1093 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3435]) ).
thf(3732,plain,
! [SV172: $i,SV441: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
| ! [SY1094: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1094 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
| ( SV172 != SY1094 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1094 @ SV441 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3436]) ).
thf(3733,plain,
! [SV174: $i,SV442: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV442 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SV442 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV442 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3438]) ).
thf(3734,plain,
! [SV175: $i,SV443: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 )
| ! [SY1095: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1095 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1095 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SY1095 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SY1095 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SY1095 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3439]) ).
thf(3735,plain,
! [SV176: $i,SV444: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV444 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SV444 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SV444 )
= SV176 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3440]) ).
thf(3736,plain,
! [SV177: $i,SV445: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
| ~ ! [SY1096: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1096 )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1096 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1096 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3441]) ).
thf(3737,plain,
! [SV178: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV178 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV178 )
= SV178 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3442]) ).
thf(3738,plain,
! [SV179: $i,SV446: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV446 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV446 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SV446 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3443]) ).
thf(3739,plain,
! [SV181: $i,SV447: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
| ! [SY1097: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1097 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SY1097 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3445]) ).
thf(3740,plain,
! [SV183: $i,SV448: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV448 )
| ( SV183 != SV448 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV448 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3447]) ).
thf(3741,plain,
! [SV184: $i,SV449: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV449 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV449 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SV449 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3448]) ).
thf(3742,plain,
! [SV185: $i,SV450: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
| ! [SY1098: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1098 )
| ! [SY1099: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1099 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1099 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1098 @ SY1099 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SY1099 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SY1098 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3449]) ).
thf(3743,plain,
! [SV186: $i,SV451: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) )
| ~ ( ( SV186 != SV451 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3450]) ).
thf(3744,plain,
! [SV187: $i,SV452: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3451]) ).
thf(3745,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3452]) ).
thf(3746,plain,
! [SV189: $i,SV454: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
| ! [SY1100: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1100 )
| ~ ( ( SY1100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV454 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3453]) ).
thf(3747,plain,
! [SV190: $i,SV455: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 )
| ! [SY1101: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1101 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1101 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3454]) ).
thf(3748,plain,
! [SV191: $i,SV456: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV456 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV191 @ SV456 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV191 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3455]) ).
thf(3749,plain,
! [SV192: $i,SV457: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
| ! [SY1102: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1102 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SY1102 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY1102 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3456]) ).
thf(3750,plain,
! [SV193: $i,SV458: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV458 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV458 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV458 @ SV458 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SV458 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3457]) ).
thf(3751,plain,
! [SV194: $i,SV459: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
| ! [SY1103: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1103 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1103 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SY1103 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SY1103 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3458]) ).
thf(3752,plain,
! [SV195: $i,SV460: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV460 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SV460 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV460 @ SV195 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3459]) ).
thf(3753,plain,
! [SV196: $i,SV461: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV461 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV461 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV461 @ SV461 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV461 @ SV196 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3460]) ).
thf(3754,plain,
! [SV198: $i,SV462: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3461]) ).
thf(3755,plain,
! [SV199: $i,SV463: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV463 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SV463 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV463 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3462]) ).
thf(3756,plain,
! [SV200: $i,SV464: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3463]) ).
thf(3757,plain,
! [SV201: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV201 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV201 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3464]) ).
thf(3758,plain,
! [SV202: $i,SV465: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV465 )
| ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SV465 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SV465 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3465]) ).
thf(3759,plain,
! [SV204: $i,SV466: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV466 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV204 ) @ SV466 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV204 @ SV466 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV204 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3467]) ).
thf(3760,plain,
! [SV206: $i,SV467: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV467 )
| ~ ~ ( ( SV206 != SV467 ) )
| ( SV206 = SV467 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3469]) ).
thf(3761,plain,
! [SV207: $i,SV468: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
| ! [SY1104: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1104 )
| ! [SY1105: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1105 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1104 @ SY1105 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SY1104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SY1105 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3470]) ).
thf(3762,plain,
! [SV208: $i,SV469: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV469 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SV469 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV469 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3471]) ).
thf(3763,plain,
! [SV209: $i,SV470: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV470 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SV470 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV470 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3472]) ).
thf(3764,plain,
! [SV210: $i,SV471: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV471 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV471 @ SV210 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SV471 )
= SV471 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3473]) ).
thf(3765,plain,
! [SV211: $i,SV472: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3474]) ).
thf(3766,plain,
! [SV212: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV212 @ SV212 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV212 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV212 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3475]) ).
thf(3767,plain,
! [SV213: $i,SV473: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV473 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SV473 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SV473 )
= SV473 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3476]) ).
thf(3768,plain,
! [SV214: $i,SV474: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 )
| ! [SY1106: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1106 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1106 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1106 @ SV474 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3477]) ).
thf(3769,plain,
! [SV215: $i,SV475: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV475 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV475 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SV475 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3478]) ).
thf(3770,plain,
! [SV216: $i,SV476: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
| ~ ( ~ ( ~ ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) )
| ( SV216 = SV476 ) )
| ~ ( ( SV216 != SV476 )
| ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3479]) ).
thf(3771,plain,
! [SV217: $i,SV477: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
| ( SV217 = SV477 ) )
| ~ ( ( SV217 != SV477 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3480]) ).
thf(3772,plain,
! [SV218: $i,SV478: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV478 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SV478 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV478 @ SV218 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3481]) ).
thf(3773,plain,
! [SV219: $i] :
( ( ( ~ ( ( SV219 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV219 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3482]) ).
thf(3774,plain,
! [SV221: $i,SV479: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
| ! [SY1109: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1109 )
| ~ ( ( SY1109 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SY1109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SY1109 ) )
| ( SV221 = SV479 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3484]) ).
thf(3775,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3485]) ).
thf(3776,plain,
! [SV223: $i,SV480: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 )
| ~ ( ( SV480 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3486]) ).
thf(3777,plain,
! [SV224: $i,SV481: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
| ! [SY1110: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1110 )
| ! [SY1111: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1111 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1111 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1110 @ SY1111 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SY1111 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SY1110 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3487]) ).
thf(3778,plain,
! [SV225: $i,SV482: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 )
| ! [SY1112: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1112 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1112 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SY1112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SY1112 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SY1112 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3488]) ).
thf(3779,plain,
! [SV226: $i,SV483: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV483 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV483 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SV483 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3489]) ).
thf(3780,plain,
! [SV227: $i,SV484: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3490]) ).
thf(3781,plain,
! [SV228: $i,SV485: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
| ! [SY1113: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1113 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3491]) ).
thf(3782,plain,
! [SV229: $i,SV486: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
| ! [SY1114: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1114 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1114 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1114 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1114 @ SV229 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3492]) ).
thf(3783,plain,
! [SV230: $i,SV487: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV487 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV230 @ SV487 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV487 @ SV230 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV230 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3493]) ).
thf(3784,plain,
! [SV231: $i,SV488: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
| ! [SY1115: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1115 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV488 ) )
| ( SV231 = SV488 ) )
| ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV488 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3494]) ).
thf(3785,plain,
! [SV232: $i,SV489: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
| ! [SY1116: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1116 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1116 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SY1116 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY1116 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SY1116 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY1116 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3495]) ).
thf(3786,plain,
! [SV233: $i,SV490: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3496]) ).
thf(3787,plain,
! [SV234: $i,SV491: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3497]) ).
thf(3788,plain,
! [SV235: $i,SV492: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
| ! [SY1117: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1117 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SY1117 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SY1117 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3498]) ).
thf(3789,plain,
! [SV236: $i,SV493: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
| ! [SY1118: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1118 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1118 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SY1118 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SY1118 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3499]) ).
thf(3790,plain,
! [SV237: $i,SV494: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
| ! [SY1119: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1119 )
| ( SV237 != SV494 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SY1119 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SY1119 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3500]) ).
thf(3791,plain,
! [SV238: $i,SV495: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
| ~ ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3501]) ).
thf(3792,plain,
! [SV239: $i,SV496: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV496 )
| ~ ( ( SV496 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SV496 ) @ SV496 )
= SV239 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3502]) ).
thf(3793,plain,
! [SV303: $i,SV240: $i] :
( ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
| ~ ! [SY1022: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1022 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1022 @ SV240 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3503]) ).
thf(3794,plain,
! [SV240: $i,SV303: $i] :
( ( ~ ( ~ ~ ! [SY1023: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1023 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1023 @ SV240 ) ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3503]) ).
thf(3795,plain,
! [SV241: $i,SV497: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3504]) ).
thf(3796,plain,
! [SV242: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV242 @ SV242 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3505]) ).
thf(3797,plain,
! [SV243: $i,SV498: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
| ! [SY1120: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1120 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1120 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SY1120 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SY1120 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3506]) ).
thf(3798,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3507]) ).
thf(3799,plain,
! [SV245: $i,SV500: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
| ! [SY1121: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1121 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SY1121 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1121 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1121 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SY1121 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3508]) ).
thf(3800,plain,
! [SV246: $i,SV501: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV501 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV501 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SV501 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3509]) ).
thf(3801,plain,
! [SV247: $i,SV502: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
| ! [SY1122: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1122 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV502 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3510]) ).
thf(3802,plain,
! [SV248: $i,SV503: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV503 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SV503 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV503 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3511]) ).
thf(3803,plain,
! [SV249: $i,SV504: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 )
| ! [SY1123: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1123 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1123 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SY1123 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SY1123 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SY1123 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3512]) ).
thf(3804,plain,
! [SV250: $i,SV505: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV505 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV505 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV505 @ SV250 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3513]) ).
thf(3805,plain,
! [SV251: $i,SV506: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3514]) ).
thf(3806,plain,
! [SV252: $i,SV507: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV507 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV507 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV507 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV507 @ SV507 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3515]) ).
thf(3807,plain,
! [SV253: $i,SV508: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
| ! [SY1124: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1124 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1124 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SY1124 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SY1124 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3516]) ).
thf(3808,plain,
! [SV254: $i,SV509: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV509 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV254 ) @ SV509 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV254 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV509 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV254 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3517]) ).
thf(3809,plain,
! [SV255: $i,SV510: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV510 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV510 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV510 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV510 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3518]) ).
thf(3810,plain,
! [SV256: $i,SV511: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV511 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV511 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SV511 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3519]) ).
thf(3811,plain,
! [SV257: $i,SV512: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV512 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV257 @ SV512 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV512 @ SV257 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV257 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3520]) ).
thf(3812,plain,
! [SV258: $i,SV513: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV513 )
| ~ ( ( SV513 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SV513 ) @ SV513 )
= SV258 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3521]) ).
thf(3813,plain,
! [SV259: $i,SV514: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV514 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV514 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SV514 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3522]) ).
thf(3814,plain,
! [SV260: $i,SV515: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV515 )
| ~ ( ( SV515 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SV515 ) @ SV260 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3523]) ).
thf(3815,plain,
! [SV304: $i,SV261: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) )
| ( SV261 = SV304 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3524]) ).
thf(3816,plain,
! [SV304: $i,SV261: $i] :
( ( ~ ( ( SV261 != SV304 )
| ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3524]) ).
thf(3817,plain,
! [SV262: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV262 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV262 @ SV262 ) )
= SV262 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV262 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3525]) ).
thf(3818,plain,
! [SV263: $i,SV516: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV516 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV516 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV516 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3526]) ).
thf(3819,plain,
! [SV264: $i,SV517: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
| ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3527]) ).
thf(3820,plain,
! [SV267: $i,SV518: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
| ! [SY1125: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1125 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SY1125 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY1125 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3530]) ).
thf(3821,plain,
! [SV268: $i,SV519: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 )
| ! [SY1126: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1126 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1126 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1126 @ SV519 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3531]) ).
thf(3822,plain,
! [SV269: $i,SV520: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV520 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV269 @ SV269 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV520 @ SV520 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV269 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3532]) ).
thf(3823,plain,
! [SV270: $i,SV521: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3533]) ).
thf(3824,plain,
! [SV271: $i,SV522: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 )
| ! [SY1127: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1127 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1127 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3534]) ).
thf(3825,plain,
! [SV305: $i,SV272: $i] :
( ( ~ ( ~ ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
| ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3535]) ).
thf(3826,plain,
! [SV305: $i,SV272: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) )
| ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3535]) ).
thf(3827,plain,
! [SV273: $i,SV523: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
| ! [SY1128: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1128 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1128 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1128 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1128 @ SV523 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3536]) ).
thf(3828,plain,
! [SV274: $i,SV524: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV524 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV274 @ SV524 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV524 @ SV274 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV274 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3537]) ).
thf(3829,plain,
! [SV275: $i,SV525: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
| ! [SY1129: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1129 )
| ( SV275 != SV525 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SY1129 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SY1129 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3538]) ).
thf(3830,plain,
! [SV276: $i,SV526: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV526 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV526 @ SV276 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SV526 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3539]) ).
thf(3831,plain,
! [SV277: $i,SV527: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV527 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV277 @ SV527 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV527 @ SV277 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV277 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3540]) ).
thf(3832,plain,
! [SV279: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV279 ) ) )
= $true )
| ( ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ SV279 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3542]) ).
thf(3833,plain,
! [SV280: $i,SV528: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV528 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV528 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SV528 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV528 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3543]) ).
thf(3834,plain,
! [SV281: $i,SV529: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV529 )
| ( SV281 != SV529 )
| ( SV529 = SV281 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3544]) ).
thf(3835,plain,
! [SV282: $i,SV530: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
| ! [SY1130: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1130 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1130 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SY1130 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SY1130 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3545]) ).
thf(3836,plain,
! [SV283: $i,SV531: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
| ! [SY1131: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1131 )
| ! [SY1132: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1132 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SY1131 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SY1132 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1131 @ SY1132 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3546]) ).
thf(3837,plain,
! [SV284: $i,SV532: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
| ! [SY1133: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1133 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1133 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SY1133 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SY1133 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3547]) ).
thf(3838,plain,
! [SV286: $i,SV533: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV533 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SV533 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV533 @ SV286 ) )
| ( SV286 = SV533 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3549]) ).
thf(3839,plain,
! [SV287: $i,SV534: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3550]) ).
thf(3840,plain,
! [SV288: $i,SV535: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
| ! [SY1134: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1134 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SY1134 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1134 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3551]) ).
thf(3841,plain,
! [SV289: $i,SV536: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV536 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV536 @ SV536 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV536 @ SV289 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3552]) ).
thf(3842,plain,
! [SV290: $i,SV537: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV537 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV290 @ SV537 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV537 @ SV290 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV290 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3553]) ).
thf(3843,plain,
! [SV291: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV291 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV291 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV291 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3554]) ).
thf(3844,plain,
! [SV292: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV292 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV292 ) @ SV292 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV292 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3555]) ).
thf(3845,plain,
! [SV294: $i,SV538: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
| ! [SY1135: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1135 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SY1135 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1135 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3557]) ).
thf(3846,plain,
! [SV295: $i,SV539: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV539 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV539 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV539 @ SV539 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3558]) ).
thf(3847,plain,
! [SV296: $i,SV540: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV540 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV540 ) )
| ( SV296 = SV540 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3559]) ).
thf(3848,plain,
! [SV297: $i,SV541: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
| ! [SY1136: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1136 )
| ( SV297 != SV541 )
| ~ ( ( SV541 != SY1136 ) )
| ( SV297 != SY1136 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3560]) ).
thf(3849,plain,
! [SV298: $i,SV542: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV542 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV542 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV542 @ SV542 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SV542 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3561]) ).
thf(3850,plain,
! [SV299: $i,SV543: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 )
| ! [SY1137: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1137 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1137 @ SV543 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3562]) ).
thf(3851,plain,
! [SV300: $i,SV544: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV544 )
| ( SV300 != SV544 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SV544 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3563]) ).
thf(3852,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 ) )
= $true )
| ( ( ! [SY1024: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1024 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3565]) ).
thf(3853,plain,
! [SV2: $i,SV307: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV307 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV307 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SV307 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3566]) ).
thf(3854,plain,
! [SV3: $i,SV308: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV308 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV308 ) )
| ( SV3 = SV308 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3567]) ).
thf(3855,plain,
! [SV4: $i,SV309: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 ) )
= $true )
| ( ( ! [SY1025: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1025 )
| ~ ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SY1025 ) )
| ( SY1025
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3568]) ).
thf(3856,plain,
! [SV5: $i,SV310: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3569]) ).
thf(3857,plain,
! [SV6: $i,SV311: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV311 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV6 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV6 @ SV311 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3570]) ).
thf(3858,plain,
! [SV7: $i,SV312: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 ) )
= $true )
| ( ( ! [SY1026: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1026 )
| ( SV7 != SV312 )
| ( SV312 != SY1026 )
| ( SV7 = SY1026 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3571]) ).
thf(3859,plain,
! [SV8: $i,SV313: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV313 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SV313 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV313 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3572]) ).
thf(3860,plain,
! [SV9: $i,SV314: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 ) )
= $true )
| ( ( ! [SY1027: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1027 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY1027 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SY1027 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY1027 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SY1027 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3573]) ).
thf(3861,plain,
! [SV10: $i,SV315: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV315 ) )
= $true )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV315 @ SV10 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SV315 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3574]) ).
thf(3862,plain,
! [SV11: $i,SV316: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV316 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SV316 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV316 @ SV11 ) )
| ( SV11 = SV316 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3575]) ).
thf(3863,plain,
! [SV14: $i,SV317: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV317 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV14 @ SV317 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV317 @ SV14 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3577]) ).
thf(3864,plain,
! [SV15: $i,SV318: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV318 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SV318 ) )
= SV15 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3578]) ).
thf(3865,plain,
! [SV16: $i,SV319: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV319 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3579]) ).
thf(3866,plain,
! [SV18: $i,SV320: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 ) )
= $true )
| ( ( ! [SY1028: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1028 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY1028 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SY1028 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY1028 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SY1028 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3581]) ).
thf(3867,plain,
! [SV19: $i,SV321: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV321 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV321 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SV321 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3582]) ).
thf(3868,plain,
! [SV20: $i,SV322: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV322 ) )
= $true )
| ( ( ! [SY1029: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1029 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV322 @ SY1029 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV322 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY1029 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3583]) ).
thf(3869,plain,
! [SV21: $i,SV323: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 ) )
= $true )
| ( ( ! [SY1030: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1030 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1030 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY1030 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SY1030 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY1030 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SY1030 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3584]) ).
thf(3870,plain,
! [SV22: $i,SV324: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 ) )
= $true )
| ( ( ! [SY1031: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1031 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SY1031 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SY1031 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SY1031 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3585]) ).
thf(3871,plain,
! [SV23: $i,SV325: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 ) )
= $true )
| ( ( ! [SY1032: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1032 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ SV325 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3586]) ).
thf(3872,plain,
! [SV24: $i,SV326: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 ) )
= $true )
| ( ( ! [SY1033: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1033 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SY1033 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SY1033 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3587]) ).
thf(3873,plain,
! [SV25: $i,SV327: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV327 ) )
= $true )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV327 @ SV25 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SV327 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3588]) ).
thf(3874,plain,
! [SV26: $i,SV328: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 ) )
= $true )
| ( ( ! [SY1034: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1034 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
| ( SV328 != SY1034 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY1034 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3589]) ).
thf(3875,plain,
! [SV27: $i,SV329: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 ) )
= $true )
| ( ( ! [SY1035: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1035 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1035 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SY1035 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SY1035 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3590]) ).
thf(3876,plain,
! [SV28: $i,SV330: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 ) )
= $true )
| ( ( ! [SY1036: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1036 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1036 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1036 @ SV28 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3591]) ).
thf(3877,plain,
! [SV29: $i,SV331: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 ) )
= $true )
| ( ( ! [SY1037: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1037 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SY1037 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SY1037 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3592]) ).
thf(3878,plain,
! [SV30: $i,SV332: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV332 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV332 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV332 @ SV332 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3593]) ).
thf(3879,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK3_SY703 @ SV31 ) )
| ( SV31
!= ( sK3_SY703 @ SV31 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3594]) ).
thf(3880,plain,
! [SV32: $i,SV333: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 ) )
= $true )
| ( ( ! [SY1038: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1038 )
| ( SV32 != SV333 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SY1038 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SY1038 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3595]) ).
thf(3881,plain,
! [SV33: $i,SV334: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 ) )
= $true )
| ( ( ! [SY1039: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1039 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SY1039 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SY1039 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3596]) ).
thf(3882,plain,
! [SV34: $i,SV335: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 ) )
= $true )
| ( ( ! [SY1040: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1040 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1040 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3597]) ).
thf(3883,plain,
! [SV35: $i] :
( ( ( ~ ( p @ ( c_24__prop__34425___24a1 @ SV35 ) ) )
= $true )
| ( ( SV35 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3598]) ).
thf(3884,plain,
! [SV35: $i] :
( ( ( SV35 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( c_24__prop__34425___24a1 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3599]) ).
thf(3885,plain,
! [SV36: $i,SV336: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV336 ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV36 @ SV336 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV336 @ SV36 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3600]) ).
thf(3886,plain,
! [SV37: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3887,plain,
! [SV37: $i] :
( ( ( ~ ( ( SV37 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3888,plain,
! [SV38: $i,SV337: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV337 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3602]) ).
thf(3889,plain,
! [SV39: $i,SV338: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV338 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV338 @ SV39 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SV338 )
= SV39 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3603]) ).
thf(3890,plain,
! [SV40: $i,SV339: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV339 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SV339 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SV339 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3604]) ).
thf(3891,plain,
! [SV41: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV41 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV41 ) @ SV41 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3605]) ).
thf(3892,plain,
! [SV42: $i,SV340: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV340 ) )
= $true )
| ( ( ! [SY1041: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1041 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SV340 ) @ SY1041 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SY1041 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV340 @ SY1041 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3606]) ).
thf(3893,plain,
! [SV43: $i,SV341: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 ) )
= $true )
| ( ( ! [SY1042: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1042 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SY1042 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1042 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1042 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SY1042 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3607]) ).
thf(3894,plain,
! [SV44: $i,SV342: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3608]) ).
thf(3895,plain,
! [SV45: $i,SV343: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV343 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SV343 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV343 @ SV45 ) )
| ( SV45 = SV343 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3609]) ).
thf(3896,plain,
! [SV46: $i,SV344: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV344 ) )
= $true )
| ( ( ~ ( ( SV46 != SV344 ) )
| ( SV344 != SV46 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3610]) ).
thf(3897,plain,
! [SV47: $i,SV345: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV345 ) )
= $true )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SV345 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV345 @ SV47 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3611]) ).
thf(3898,plain,
! [SV48: $i,SV346: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV346 ) )
= $true )
| ( ( ! [SY1043: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1043 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV346 @ SY1043 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SV346 ) @ SY1043 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3612]) ).
thf(3899,plain,
! [SV49: $i,SV347: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 ) )
= $true )
| ( ( ! [SY1044: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1044 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1044 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SY1044 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SY1044 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SY1044 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3613]) ).
thf(3900,plain,
! [SV50: $i,SV348: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3614]) ).
thf(3901,plain,
! [SV51: $i,SV349: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV349 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SV349 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV349 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3615]) ).
thf(3902,plain,
! [SV52: $i,SV350: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 ) )
= $true )
| ( ( ~ ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3616]) ).
thf(3903,plain,
! [SV54: $i,SV351: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 ) )
= $true )
| ( ( ! [SY1045: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1045 )
| ! [SY1046: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1046 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1045 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1046 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1045 @ SY1046 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3618]) ).
thf(3904,plain,
! [SV55: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV55 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV55 ) @ SV55 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3619]) ).
thf(3905,plain,
! [SV56: $i,SV352: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV352 ) )
= $true )
| ( ( ! [SY1047: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1047 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ SY1047 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SY1047 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3620]) ).
thf(3906,plain,
! [SV57: $i,SV353: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3621]) ).
thf(3907,plain,
! [SV58: $i,SV354: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV354 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV354 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV354 @ SV354 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3622]) ).
thf(3908,plain,
! [SV59: $i,SV355: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3623]) ).
thf(3909,plain,
! [SV60: $i,SV356: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV356 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV356 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ SV356 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3624]) ).
thf(3910,plain,
! [SV61: $i,SV357: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV357 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SV357 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SV357 ) )
| ( SV61 = SV357 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3625]) ).
thf(3911,plain,
! [SV62: $i,SV358: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3626]) ).
thf(3912,plain,
! [SV63: $i,SV359: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
| ~ ( ( SV359 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3627]) ).
thf(3913,plain,
! [SV64: $i,SV360: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV360 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SV360 ) )
| ( SV64 != SV360 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3628]) ).
thf(3914,plain,
! [SV65: $i,SV361: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 ) )
= $true )
| ( ( ! [SY1048: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1048 )
| ! [SY1049: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1049 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1048 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1049 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1048 @ SY1049 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3629]) ).
thf(3915,plain,
! [SV66: $i,SV362: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 ) )
= $true )
| ( ( ! [SY1050: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1050 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY1050 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SY1050 ) )
| ( SV66 = SV362 ) )
| ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY1050 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SY1050 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3630]) ).
thf(3916,plain,
! [SV67: $i,SV363: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV363 ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SV363 ) )
| ( SV67 = SV363 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV363 @ SV67 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3631]) ).
thf(3917,plain,
! [SV68: $i,SV364: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 ) )
= $true )
| ( ( ! [SY1051: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1051 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SY1051 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY1051 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY1051 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SY1051 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3632]) ).
thf(3918,plain,
! [SV69: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV69 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV69 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3633]) ).
thf(3919,plain,
! [SV70: $i,SV365: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 ) )
= $true )
| ( ( ! [SY1052: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1052 )
| ! [SY1053: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1053 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1052 @ SY1053 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SY1052 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SY1053 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3634]) ).
thf(3920,plain,
! [SV71: $i,SV366: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV366 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SV366 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SV366 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3635]) ).
thf(3921,plain,
! [SV72: $i,SV367: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) )
| ~ ( ( SV72 != SV367 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3636]) ).
thf(3922,plain,
! [SV73: $i,SV368: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV368 ) )
= $true )
| ( ( ! [SY1054: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1054 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV368 ) @ SY1054 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY1054 ) @ SV368 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3637]) ).
thf(3923,plain,
! [SV75: $i,SV369: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 ) )
= $true )
| ( ( ! [SY1055: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1055 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1055 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SY1055 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3638]) ).
thf(3924,plain,
! [SV76: $i,SV370: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV370 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SV370 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV370 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3639]) ).
thf(3925,plain,
! [SV77: $i,SV371: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV371 ) )
= $true )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SV371 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SV371 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3640]) ).
thf(3926,plain,
! [SV78: $i,SV372: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 ) )
= $true )
| ( ( ~ ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3641]) ).
thf(3927,plain,
! [SV79: $i,SV373: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3642]) ).
thf(3928,plain,
! [SV80: $i,SV374: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 ) )
= $true )
| ( ( ~ ( ( SV374 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3643]) ).
thf(3929,plain,
! [SV81: $i,SV375: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV375 ) )
= $true )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV375 @ SV81 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SV375 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3644]) ).
thf(3930,plain,
! [SV82: $i,SV376: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 ) )
= $true )
| ( ( ! [SY1056: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1056 )
| ~ ( ( SY1056 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1056 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1056 @ SV376 ) )
| ( SV82 = SV376 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3645]) ).
thf(3931,plain,
! [SV83: $i,SV377: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV377 ) )
= $true )
| ( ( ~ ( ( SV377 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SV377 ) @ SV377 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3646]) ).
thf(3932,plain,
! [SV84: $i,SV378: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3647]) ).
thf(3933,plain,
! [SV86: $i,SV379: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 ) )
= $true )
| ( ( ! [SY1057: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1057 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SY1057 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SY1057 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SY1057 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3648]) ).
thf(3934,plain,
( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK1_V0__n ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3650]) ).
thf(3935,plain,
( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3651]) ).
thf(3936,plain,
( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK2_SX0 @ sK2_SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sK2_SX0 @ sK1_V0__n ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3651]) ).
thf(3937,plain,
! [SV302: $i,SV87: $i] :
( ( ~ ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) )
| ( SV87 = SV302 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3652]) ).
thf(3938,plain,
! [SV302: $i,SV87: $i] :
( ( ( SV87 != SV302 )
| ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3653]) ).
thf(3939,plain,
! [SV88: $i,SV380: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV380 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV380 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SV380 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3654]) ).
thf(3940,plain,
! [SV89: $i,SV381: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 ) )
= $true )
| ( ( ! [SY1058: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1058 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SY1058 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SY1058 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3655]) ).
thf(3941,plain,
! [SV90: $i,SV382: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 ) )
= $true )
| ( ( ! [SY1059: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1059 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
| ( SV382 != SY1059 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY1059 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3656]) ).
thf(3942,plain,
! [SV91: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3657]) ).
thf(3943,plain,
! [SV91: $i] :
( ( ( ~ ( ( SV91 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3657]) ).
thf(3944,plain,
! [SV92: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV92 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV92 @ SV92 )
= SV92 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3658]) ).
thf(3945,plain,
! [SV93: $i,SV383: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 ) )
= $true )
| ( ( ~ ! [SY1060: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1060 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1060 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY1060 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ SY1060 ) ) )
| ( SV93 = SV383 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3659]) ).
thf(3946,plain,
! [SV94: $i,SV384: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 ) )
= $true )
| ( ( ! [SY1061: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1061 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1061 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1061 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1061 @ SV94 ) @ SV384 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3660]) ).
thf(3947,plain,
! [SV95: $i] :
( ( ( SV95 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV95 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3661]) ).
thf(3948,plain,
! [SV96: $i,SV385: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV385 ) )
= $true )
| ( ( ( SV96 != SV385 )
| ( SV385 = SV96 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3662]) ).
thf(3949,plain,
! [SV97: $i,SV386: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV386 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV386 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SV386 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3663]) ).
thf(3950,plain,
! [SV99: $i,SV387: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 ) )
= $true )
| ( ( ! [SY1062: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1062 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SY1062 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY1062 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY1062 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SY1062 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3664]) ).
thf(3951,plain,
! [SV100: $i] :
( ( ( ~ ( p @ ( c_24__prop__34426___24a1 @ SV100 ) ) )
= $true )
| ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3665]) ).
thf(3952,plain,
! [SV100: $i] :
( ( ( ~ ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3666]) ).
thf(3953,plain,
! [SV101: $i,SV388: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV388 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SV388 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV388 @ SV388 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3667]) ).
thf(3954,plain,
! [SV102: $i,SV389: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3668]) ).
thf(3955,plain,
! [SV103: $i,SV390: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV390 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SV390 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV390 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3669]) ).
thf(3956,plain,
! [SV104: $i,SV391: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 ) )
= $true )
| ( ( ! [SY1063: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1063 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1063 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3670]) ).
thf(3957,plain,
! [SV105: $i,SV392: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 ) )
= $true )
| ( ( ! [SY1064: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1064 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1064 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3671]) ).
thf(3958,plain,
! [SV107: $i,SV393: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV393 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV393 @ SV393 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ SV107 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3672]) ).
thf(3959,plain,
! [SV108: $i,SV394: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
| ( SV108 = SV394 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3673]) ).
thf(3960,plain,
! [SV109: $i,SV395: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3674]) ).
thf(3961,plain,
! [SV110: $i,SV396: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3675]) ).
thf(3962,plain,
! [SV111: $i,SV397: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 ) )
= $true )
| ( ( ! [SY1065: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1065 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1065 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SY1065 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SY1065 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3676]) ).
thf(3963,plain,
! [SV112: $i,SV398: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 ) )
= $true )
| ( ( ! [SY1066: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1066 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1066 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1066 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1066 @ SV398 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3677]) ).
thf(3964,plain,
! [SV113: $i,SV399: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 ) )
= $true )
| ( ( ! [SY1067: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1067 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SY1067 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY1067 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3678]) ).
thf(3965,plain,
! [SV114: $i,SV400: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV400 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SV400 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3679]) ).
thf(3966,plain,
! [SV115: $i,SV401: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV401 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3680]) ).
thf(3967,plain,
! [SV116: $i,SV402: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV402 ) )
= $true )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV116 @ SV402 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3681]) ).
thf(3968,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3682]) ).
thf(3969,plain,
! [SV118: $i,SV404: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 ) )
= $true )
| ( ( ! [SY1068: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1068 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
| ( SV404 != SY1068 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY1068 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3683]) ).
thf(3970,plain,
! [SV120: $i,SV405: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 ) )
= $true )
| ( ( ! [SY1069: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1069 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1069 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SY1069 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SY1069 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3684]) ).
thf(3971,plain,
! [SV121: $i,SV406: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV406 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV406 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SV406 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3685]) ).
thf(3972,plain,
! [SV122: $i,SV407: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3686]) ).
thf(3973,plain,
! [SV123: $i,SV408: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 ) )
= $true )
| ( ( ! [SY1070: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1070 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1070 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SY1070 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SY1070 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3687]) ).
thf(3974,plain,
! [SV124: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV124 )
= SV124 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3688]) ).
thf(3975,plain,
! [SV125: $i,SV409: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3689]) ).
thf(3976,plain,
! [SV127: $i,SV410: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV410 ) )
= $true )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SV410 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV410 @ SV410 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3690]) ).
thf(3977,plain,
! [SV128: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV128 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV128 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= SV128 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3691]) ).
thf(3978,plain,
! [SV129: $i,SV411: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3692]) ).
thf(3979,plain,
! [SV130: $i,SV412: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 ) )
= $true )
| ( ( ! [SY1071: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1071 )
| ! [SY1072: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1072 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SY1071 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SY1072 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1071 @ SY1072 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3693]) ).
thf(3980,plain,
! [SV131: $i,SV413: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 ) )
= $true )
| ( ( ! [SY1073: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1073 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SY1073 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SY1073 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3694]) ).
thf(3981,plain,
! [SV132: $i,SV414: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 ) )
= $true )
| ( ( ! [SY1074: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1074 )
| ! [SY1075: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1075 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1074 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1074 @ SY1075 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SY1074 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SY1075 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3695]) ).
thf(3982,plain,
! [SV133: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3696]) ).
thf(3983,plain,
! [SV133: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3696]) ).
thf(3984,plain,
! [SV134: $i,SV415: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 ) )
= $true )
| ( ( ! [SY1076: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1076 )
| ~ ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SY1076 ) )
| ( SY1076
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3697]) ).
thf(3985,plain,
! [SV135: $i,SV416: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 ) )
= $true )
| ( ( ! [SY1077: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1077 )
| ! [SY1078: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1078 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1077 @ SY1078 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY1077 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SY1078 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3698]) ).
thf(3986,plain,
! [SV136: $i,SV417: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV417 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SV417 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV417 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3699]) ).
thf(3987,plain,
! [SV137: $i,SV418: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV418 ) )
= $true )
| ( ( ! [SY1079: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1079 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV418 @ SY1079 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV418 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY1079 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3700]) ).
thf(3988,plain,
! [SV139: $i,SV419: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 ) )
= $true )
| ( ( ! [SY1080: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1080 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
| ( SV419 != SY1080 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY1080 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3702]) ).
thf(3989,plain,
! [SV140: $i,SV420: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV420 ) )
= $true )
| ( ( ! [SY1081: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1081 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV420 @ SY1081 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SV420 ) @ SY1081 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3703]) ).
thf(3990,plain,
! [SV141: $i,SV421: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV421 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV421 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV421 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3704]) ).
thf(3991,plain,
! [SV142: $i,SV422: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 ) )
= $true )
| ( ( ! [SY1082: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1082 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SY1082 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SY1082 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3705]) ).
thf(3992,plain,
! [SV143: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV143 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV143 ) @ SV143 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3706]) ).
thf(3993,plain,
! [SV144: $i,SV423: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV423 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3707]) ).
thf(3994,plain,
! [SV145: $i,SV424: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV424 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SV424 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SV424 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3708]) ).
thf(3995,plain,
! [SV146: $i,SV425: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
| ( SV146 = SV425 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3709]) ).
thf(3996,plain,
! [SV147: $i,SV426: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV426 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SV426 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV426 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3710]) ).
thf(3997,plain,
! [SV148: $i,SV427: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 ) )
= $true )
| ( ( ! [SY1083: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1083 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SY1083 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3711]) ).
thf(3998,plain,
! [SV149: $i] :
( ( ( SV149 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV149 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3712]) ).
thf(3999,plain,
! [SV150: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV150 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV150 @ SV150 )
= SV150 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3713]) ).
thf(4000,plain,
! [SV151: $i,SV428: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 ) )
= $true )
| ( ( ! [SY1084: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1084 )
| ! [SY1085: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1085 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SY1084 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SY1085 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1084 @ SY1085 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3714]) ).
thf(4001,plain,
! [SV152: $i,SV429: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV429 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SV429 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV429 @ SV429 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3715]) ).
thf(4002,plain,
! [SV153: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV153 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV153 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3716]) ).
thf(4003,plain,
! [SV154: $i,SV430: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 ) )
= $true )
| ( ( ! [SY1086: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1086 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1086 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3717]) ).
thf(4004,plain,
! [SV155: $i,SV431: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV431 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV155 @ SV431 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3718]) ).
thf(4005,plain,
! [SV158: $i,SV432: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 ) )
= $true )
| ( ( ! [SY1087: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1087 )
| ~ ( ( SV158 != SV432 ) )
| ( SV432 != SY1087 )
| ( SV158 != SY1087 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3719]) ).
thf(4006,plain,
! [SV159: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV159 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV159 @ SV159 ) )
= SV159 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV159 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3720]) ).
thf(4007,plain,
! [SV160: $i,SV433: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV433 ) )
= $true )
| ( ( ! [SY1088: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1088 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SV433 ) @ SY1088 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SY1088 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV433 @ SY1088 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3721]) ).
thf(4008,plain,
! [SV161: $i,SV434: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3722]) ).
thf(4009,plain,
! [SV162: $i,SV435: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 ) )
= $true )
| ( ( ! [SY1089: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1089 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SY1089 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY1089 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3723]) ).
thf(4010,plain,
! [SV163: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV163 @ SV163 ) ) )
= $false )
| ( ( SV163 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3724]) ).
thf(4011,plain,
! [SV165: $i] :
( ( ( ~ ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 ) )
= $true )
| ( ( ( p @ SV165 )
| ~ ( p @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3725]) ).
thf(4012,plain,
! [SV165: $i] :
( ( ( ~ ( ( p @ SV165 )
| ~ ( p @ SV165 ) ) )
= $true )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3726]) ).
thf(4013,plain,
! [SV166: $i,SV436: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV436 ) )
= $true )
| ( ( ! [SY1090: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1090 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV436 ) @ SY1090 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY1090 ) @ SV436 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3727]) ).
thf(4014,plain,
! [SV167: $i,SV437: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV437 ) )
= $true )
| ( ( ! [SY1091: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1091 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SV437 ) @ SY1091 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SY1091 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV437 @ SY1091 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3728]) ).
thf(4015,plain,
! [SV168: $i,SV438: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV438 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV168 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV438 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV168 @ SV438 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3729]) ).
thf(4016,plain,
! [SV170: $i,SV439: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3730]) ).
thf(4017,plain,
! [SV171: $i,SV440: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 ) )
= $true )
| ( ( ! [SY1092: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1092 )
| ! [SY1093: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1093 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1092 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1092 @ SY1093 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SY1092 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SY1093 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3731]) ).
thf(4018,plain,
! [SV172: $i,SV441: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 ) )
= $true )
| ( ( ! [SY1094: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1094 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
| ( SV172 != SY1094 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1094 @ SV441 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3732]) ).
thf(4019,plain,
! [SV174: $i,SV442: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV442 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SV442 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV442 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3733]) ).
thf(4020,plain,
! [SV175: $i,SV443: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 ) )
= $true )
| ( ( ! [SY1095: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1095 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1095 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SY1095 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SY1095 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SY1095 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3734]) ).
thf(4021,plain,
! [SV176: $i,SV444: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV444 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SV444 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SV444 )
= SV176 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3735]) ).
thf(4022,plain,
! [SV177: $i,SV445: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
| ~ ! [SY1096: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1096 )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1096 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1096 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3736]) ).
thf(4023,plain,
! [SV178: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV178 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV178 )
= SV178 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3737]) ).
thf(4024,plain,
! [SV179: $i,SV446: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV446 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV446 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SV446 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3738]) ).
thf(4025,plain,
! [SV181: $i,SV447: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 ) )
= $true )
| ( ( ! [SY1097: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1097 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SY1097 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3739]) ).
thf(4026,plain,
! [SV183: $i,SV448: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV448 ) )
= $true )
| ( ( ( SV183 != SV448 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV448 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3740]) ).
thf(4027,plain,
! [SV184: $i,SV449: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV449 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV449 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SV449 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3741]) ).
thf(4028,plain,
! [SV185: $i,SV450: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 ) )
= $true )
| ( ( ! [SY1098: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1098 )
| ! [SY1099: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1099 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1099 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1098 @ SY1099 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SY1099 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SY1098 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3742]) ).
thf(4029,plain,
! [SV186: $i,SV451: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) )
| ~ ( ( SV186 != SV451 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3743]) ).
thf(4030,plain,
! [SV187: $i,SV452: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3744]) ).
thf(4031,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3745]) ).
thf(4032,plain,
! [SV189: $i,SV454: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 ) )
= $true )
| ( ( ! [SY1100: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1100 )
| ~ ( ( SY1100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV454 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3746]) ).
thf(4033,plain,
! [SV190: $i,SV455: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 ) )
= $true )
| ( ( ! [SY1101: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1101 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1101 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3747]) ).
thf(4034,plain,
! [SV191: $i,SV456: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV456 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV191 @ SV456 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3748]) ).
thf(4035,plain,
! [SV192: $i,SV457: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 ) )
= $true )
| ( ( ! [SY1102: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1102 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SY1102 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY1102 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3749]) ).
thf(4036,plain,
! [SV193: $i,SV458: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV458 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV458 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV458 @ SV458 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SV458 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3750]) ).
thf(4037,plain,
! [SV194: $i,SV459: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 ) )
= $true )
| ( ( ! [SY1103: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1103 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1103 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SY1103 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SY1103 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3751]) ).
thf(4038,plain,
! [SV195: $i,SV460: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV460 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SV460 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV460 @ SV195 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3752]) ).
thf(4039,plain,
! [SV196: $i,SV461: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV461 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV461 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV461 @ SV461 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV461 @ SV196 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3753]) ).
thf(4040,plain,
! [SV198: $i,SV462: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3754]) ).
thf(4041,plain,
! [SV199: $i,SV463: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV463 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SV463 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV463 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3755]) ).
thf(4042,plain,
! [SV200: $i,SV464: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3756]) ).
thf(4043,plain,
! [SV202: $i,SV465: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV465 ) )
= $true )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SV465 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SV465 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3758]) ).
thf(4044,plain,
! [SV204: $i,SV466: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV466 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV204 ) @ SV466 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV204 @ SV466 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3759]) ).
thf(4045,plain,
! [SV206: $i,SV467: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV467 ) )
= $true )
| ( ( ~ ~ ( ( SV206 != SV467 ) )
| ( SV206 = SV467 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3760]) ).
thf(4046,plain,
! [SV207: $i,SV468: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 ) )
= $true )
| ( ( ! [SY1104: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1104 )
| ! [SY1105: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1105 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1104 @ SY1105 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SY1104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SY1105 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3761]) ).
thf(4047,plain,
! [SV208: $i,SV469: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV469 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SV469 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV469 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3762]) ).
thf(4048,plain,
! [SV209: $i,SV470: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV470 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SV470 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV470 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3763]) ).
thf(4049,plain,
! [SV210: $i,SV471: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV471 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV471 @ SV210 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SV471 )
= SV471 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3764]) ).
thf(4050,plain,
! [SV211: $i,SV472: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3765]) ).
thf(4051,plain,
! [SV212: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV212 @ SV212 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV212 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3766]) ).
thf(4052,plain,
! [SV213: $i,SV473: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV473 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SV473 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SV473 )
= SV473 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3767]) ).
thf(4053,plain,
! [SV214: $i,SV474: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 ) )
= $true )
| ( ( ! [SY1106: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1106 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1106 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1106 @ SV474 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3768]) ).
thf(4054,plain,
! [SV215: $i,SV475: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV475 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV475 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SV475 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3769]) ).
thf(4055,plain,
! [SV216: $i,SV476: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 ) )
= $true )
| ( ( ~ ( ~ ( ~ ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) )
| ( SV216 = SV476 ) )
| ~ ( ( SV216 != SV476 )
| ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3770]) ).
thf(4056,plain,
! [SV217: $i,SV477: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
| ( SV217 = SV477 ) )
| ~ ( ( SV217 != SV477 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3771]) ).
thf(4057,plain,
! [SV218: $i,SV478: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV478 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SV478 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV478 @ SV218 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3772]) ).
thf(4058,plain,
! [SV219: $i] :
( ( ( SV219 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV219 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3773]) ).
thf(4059,plain,
! [SV221: $i,SV479: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 ) )
= $true )
| ( ( ! [SY1109: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1109 )
| ~ ( ( SY1109 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SY1109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SY1109 ) )
| ( SV221 = SV479 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3774]) ).
thf(4060,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3775]) ).
thf(4061,plain,
! [SV222: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3775]) ).
thf(4062,plain,
! [SV223: $i,SV480: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 ) )
= $true )
| ( ( ~ ( ( SV480 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3776]) ).
thf(4063,plain,
! [SV224: $i,SV481: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 ) )
= $true )
| ( ( ! [SY1110: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1110 )
| ! [SY1111: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1111 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1111 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1110 @ SY1111 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SY1111 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SY1110 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3777]) ).
thf(4064,plain,
! [SV225: $i,SV482: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 ) )
= $true )
| ( ( ! [SY1112: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1112 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1112 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SY1112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SY1112 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SY1112 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3778]) ).
thf(4065,plain,
! [SV226: $i,SV483: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV483 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV483 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SV483 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3779]) ).
thf(4066,plain,
! [SV227: $i,SV484: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3780]) ).
thf(4067,plain,
! [SV228: $i,SV485: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 ) )
= $true )
| ( ( ! [SY1113: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1113 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3781]) ).
thf(4068,plain,
! [SV229: $i,SV486: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 ) )
= $true )
| ( ( ! [SY1114: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1114 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1114 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1114 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1114 @ SV229 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3782]) ).
thf(4069,plain,
! [SV230: $i,SV487: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV487 ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV230 @ SV487 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV487 @ SV230 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV230 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3783]) ).
thf(4070,plain,
! [SV231: $i,SV488: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 ) )
= $true )
| ( ( ! [SY1115: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1115 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV488 ) )
| ( SV231 = SV488 ) )
| ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV488 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3784]) ).
thf(4071,plain,
! [SV232: $i,SV489: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 ) )
= $true )
| ( ( ! [SY1116: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1116 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1116 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SY1116 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY1116 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SY1116 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY1116 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3785]) ).
thf(4072,plain,
! [SV233: $i,SV490: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3786]) ).
thf(4073,plain,
! [SV234: $i,SV491: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3787]) ).
thf(4074,plain,
! [SV235: $i,SV492: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 ) )
= $true )
| ( ( ! [SY1117: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1117 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SY1117 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SY1117 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3788]) ).
thf(4075,plain,
! [SV236: $i,SV493: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 ) )
= $true )
| ( ( ! [SY1118: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1118 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1118 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SY1118 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SY1118 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3789]) ).
thf(4076,plain,
! [SV237: $i,SV494: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 ) )
= $true )
| ( ( ! [SY1119: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1119 )
| ( SV237 != SV494 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SY1119 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SY1119 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3790]) ).
thf(4077,plain,
! [SV238: $i,SV495: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3791]) ).
thf(4078,plain,
! [SV239: $i,SV496: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV496 ) )
= $true )
| ( ( ~ ( ( SV496 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SV496 ) @ SV496 )
= SV239 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3792]) ).
thf(4079,plain,
! [SV303: $i,SV240: $i] :
( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
| ~ ! [SY1022: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1022 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1022 @ SV240 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3793]) ).
thf(4080,plain,
! [SV240: $i,SV303: $i] :
( ( ~ ~ ! [SY1023: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1023 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1023 @ SV240 ) ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3794]) ).
thf(4081,plain,
! [SV241: $i,SV497: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3795]) ).
thf(4082,plain,
! [SV243: $i,SV498: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 ) )
= $true )
| ( ( ! [SY1120: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1120 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1120 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SY1120 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SY1120 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3797]) ).
thf(4083,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3798]) ).
thf(4084,plain,
! [SV245: $i,SV500: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 ) )
= $true )
| ( ( ! [SY1121: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1121 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SY1121 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1121 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1121 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SY1121 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3799]) ).
thf(4085,plain,
! [SV246: $i,SV501: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV501 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV501 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SV501 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3800]) ).
thf(4086,plain,
! [SV247: $i,SV502: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 ) )
= $true )
| ( ( ! [SY1122: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1122 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV502 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3801]) ).
thf(4087,plain,
! [SV248: $i,SV503: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV503 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SV503 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV503 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3802]) ).
thf(4088,plain,
! [SV249: $i,SV504: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 ) )
= $true )
| ( ( ! [SY1123: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1123 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1123 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SY1123 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SY1123 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SY1123 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3803]) ).
thf(4089,plain,
! [SV250: $i,SV505: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV505 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV505 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV505 @ SV250 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3804]) ).
thf(4090,plain,
! [SV251: $i,SV506: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3805]) ).
thf(4091,plain,
! [SV252: $i,SV507: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV507 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV507 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV507 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV507 @ SV507 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3806]) ).
thf(4092,plain,
! [SV253: $i,SV508: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 ) )
= $true )
| ( ( ! [SY1124: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1124 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1124 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SY1124 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SY1124 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3807]) ).
thf(4093,plain,
! [SV254: $i,SV509: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV509 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV254 ) @ SV509 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV254 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV509 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV254 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3808]) ).
thf(4094,plain,
! [SV255: $i,SV510: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV510 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV510 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV510 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV510 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3809]) ).
thf(4095,plain,
! [SV256: $i,SV511: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV511 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV511 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SV511 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3810]) ).
thf(4096,plain,
! [SV257: $i,SV512: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV512 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV257 @ SV512 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV512 @ SV257 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV257 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3811]) ).
thf(4097,plain,
! [SV258: $i,SV513: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV513 ) )
= $true )
| ( ( ~ ( ( SV513 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SV513 ) @ SV513 )
= SV258 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3812]) ).
thf(4098,plain,
! [SV259: $i,SV514: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV514 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV514 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SV514 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3813]) ).
thf(4099,plain,
! [SV260: $i,SV515: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV515 ) )
= $true )
| ( ( ~ ( ( SV515 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SV515 ) @ SV260 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3814]) ).
thf(4100,plain,
! [SV304: $i,SV261: $i] :
( ( ~ ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) )
| ( SV261 = SV304 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3815]) ).
thf(4101,plain,
! [SV304: $i,SV261: $i] :
( ( ( SV261 != SV304 )
| ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3816]) ).
thf(4102,plain,
! [SV262: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV262 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV262 @ SV262 ) )
= SV262 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV262 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3817]) ).
thf(4103,plain,
! [SV263: $i,SV516: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV516 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV516 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV516 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3818]) ).
thf(4104,plain,
! [SV264: $i,SV517: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3819]) ).
thf(4105,plain,
! [SV267: $i,SV518: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 ) )
= $true )
| ( ( ! [SY1125: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1125 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SY1125 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY1125 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3820]) ).
thf(4106,plain,
! [SV268: $i,SV519: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 ) )
= $true )
| ( ( ! [SY1126: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1126 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1126 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1126 @ SV519 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3821]) ).
thf(4107,plain,
! [SV269: $i,SV520: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV520 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV269 @ SV269 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV520 @ SV520 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV269 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3822]) ).
thf(4108,plain,
! [SV270: $i,SV521: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3823]) ).
thf(4109,plain,
! [SV271: $i,SV522: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 ) )
= $true )
| ( ( ! [SY1127: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1127 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1127 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3824]) ).
thf(4110,plain,
! [SV305: $i,SV272: $i] :
( ( ~ ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
| ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3825]) ).
thf(4111,plain,
! [SV305: $i,SV272: $i] :
( ( ~ ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) )
| ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3826]) ).
thf(4112,plain,
! [SV273: $i,SV523: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 ) )
= $true )
| ( ( ! [SY1128: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1128 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1128 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1128 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1128 @ SV523 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3827]) ).
thf(4113,plain,
! [SV274: $i,SV524: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV524 ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV274 @ SV524 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV524 @ SV274 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3828]) ).
thf(4114,plain,
! [SV275: $i,SV525: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 ) )
= $true )
| ( ( ! [SY1129: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1129 )
| ( SV275 != SV525 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SY1129 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SY1129 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3829]) ).
thf(4115,plain,
! [SV276: $i,SV526: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV526 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV526 @ SV276 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SV526 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3830]) ).
thf(4116,plain,
! [SV277: $i,SV527: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV527 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV277 @ SV527 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV527 @ SV277 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3831]) ).
thf(4117,plain,
! [SV279: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV279 ) )
= $false )
| ( ( c_24__case__Coq_2eInit_2eDatatypes_2eprod_24964___24a1 @ SV279 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3832]) ).
thf(4118,plain,
! [SV280: $i,SV528: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV528 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV528 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SV528 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV528 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3833]) ).
thf(4119,plain,
! [SV281: $i,SV529: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV529 ) )
= $true )
| ( ( ( SV281 != SV529 )
| ( SV529 = SV281 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3834]) ).
thf(4120,plain,
! [SV282: $i,SV530: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 ) )
= $true )
| ( ( ! [SY1130: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1130 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1130 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SY1130 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SY1130 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3835]) ).
thf(4121,plain,
! [SV283: $i,SV531: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 ) )
= $true )
| ( ( ! [SY1131: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1131 )
| ! [SY1132: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1132 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SY1131 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SY1132 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1131 @ SY1132 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3836]) ).
thf(4122,plain,
! [SV284: $i,SV532: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 ) )
= $true )
| ( ( ! [SY1133: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1133 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1133 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SY1133 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SY1133 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3837]) ).
thf(4123,plain,
! [SV286: $i,SV533: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV533 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SV533 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV533 @ SV286 ) )
| ( SV286 = SV533 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3838]) ).
thf(4124,plain,
! [SV287: $i,SV534: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3839]) ).
thf(4125,plain,
! [SV288: $i,SV535: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 ) )
= $true )
| ( ( ! [SY1134: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1134 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SY1134 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1134 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3840]) ).
thf(4126,plain,
! [SV289: $i,SV536: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV536 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV536 @ SV536 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV536 @ SV289 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3841]) ).
thf(4127,plain,
! [SV290: $i,SV537: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV537 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV290 @ SV537 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV537 @ SV290 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV290 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3842]) ).
thf(4128,plain,
! [SV291: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV291 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV291 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV291 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3843]) ).
thf(4129,plain,
! [SV292: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV292 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV292 ) @ SV292 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3844]) ).
thf(4130,plain,
! [SV294: $i,SV538: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 ) )
= $true )
| ( ( ! [SY1135: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1135 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SY1135 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1135 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3845]) ).
thf(4131,plain,
! [SV295: $i,SV539: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV539 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV539 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV539 @ SV539 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3846]) ).
thf(4132,plain,
! [SV296: $i,SV540: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV540 ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV540 ) )
| ( SV296 = SV540 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3847]) ).
thf(4133,plain,
! [SV297: $i,SV541: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 ) )
= $true )
| ( ( ! [SY1136: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1136 )
| ( SV297 != SV541 )
| ~ ( ( SV541 != SY1136 ) )
| ( SV297 != SY1136 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3848]) ).
thf(4134,plain,
! [SV298: $i,SV542: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV542 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV542 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV542 @ SV542 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SV542 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3849]) ).
thf(4135,plain,
! [SV299: $i,SV543: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 ) )
= $true )
| ( ( ! [SY1137: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1137 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1137 @ SV543 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3850]) ).
thf(4136,plain,
! [SV300: $i,SV544: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV544 ) )
= $true )
| ( ( ( SV300 != SV544 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SV544 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3851]) ).
thf(4137,plain,
! [SV1: $i,SV306: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( ! [SY1024: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1024 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1024 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3852]) ).
thf(4138,plain,
! [SV2: $i,SV307: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV307 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV307 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SV307 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3853]) ).
thf(4139,plain,
! [SV3: $i,SV308: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV308 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV308 ) )
| ( SV3 = SV308 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3854]) ).
thf(4140,plain,
! [SV4: $i,SV309: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( ! [SY1025: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1025 )
| ~ ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SY1025 ) )
| ( SY1025
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3855]) ).
thf(4141,plain,
! [SV5: $i,SV310: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3856]) ).
thf(4142,plain,
! [SV6: $i,SV311: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV311 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV6 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV6 @ SV311 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3857]) ).
thf(4143,plain,
! [SV7: $i,SV312: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( ! [SY1026: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1026 )
| ( SV7 != SV312 )
| ( SV312 != SY1026 )
| ( SV7 = SY1026 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3858]) ).
thf(4144,plain,
! [SV8: $i,SV313: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV313 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SV313 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV313 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3859]) ).
thf(4145,plain,
! [SV9: $i,SV314: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( ! [SY1027: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1027 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY1027 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SY1027 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SY1027 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SY1027 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3860]) ).
thf(4146,plain,
! [SV10: $i,SV315: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV315 )
= $false )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV315 @ SV10 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SV315 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3861]) ).
thf(4147,plain,
! [SV11: $i,SV316: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV316 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SV316 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV316 @ SV11 ) )
| ( SV11 = SV316 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3862]) ).
thf(4148,plain,
! [SV14: $i,SV317: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV317 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV14 @ SV317 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV317 @ SV14 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3863]) ).
thf(4149,plain,
! [SV15: $i,SV318: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV318 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SV318 ) )
= SV15 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3864]) ).
thf(4150,plain,
! [SV16: $i,SV319: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV319 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3865]) ).
thf(4151,plain,
! [SV18: $i,SV320: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( ! [SY1028: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1028 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY1028 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SY1028 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SY1028 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SY1028 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3866]) ).
thf(4152,plain,
! [SV19: $i,SV321: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV321 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV321 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SV321 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3867]) ).
thf(4153,plain,
! [SV20: $i,SV322: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV322 )
= $false )
| ( ( ! [SY1029: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1029 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV322 @ SY1029 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV322 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SY1029 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3868]) ).
thf(4154,plain,
! [SV21: $i,SV323: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( ! [SY1030: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1030 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1030 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY1030 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SY1030 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SY1030 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SY1030 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3869]) ).
thf(4155,plain,
! [SV22: $i,SV324: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
= $false )
| ( ( ! [SY1031: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1031 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SY1031 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SY1031 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SY1031 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3870]) ).
thf(4156,plain,
! [SV23: $i,SV325: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
= $false )
| ( ( ! [SY1032: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1032 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1032 @ SV325 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3871]) ).
thf(4157,plain,
! [SV24: $i,SV326: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 )
= $false )
| ( ( ! [SY1033: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1033 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SY1033 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SY1033 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3872]) ).
thf(4158,plain,
! [SV25: $i,SV327: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV327 )
= $false )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV327 @ SV25 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SV327 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3873]) ).
thf(4159,plain,
! [SV26: $i,SV328: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( ! [SY1034: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1034 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
| ( SV328 != SY1034 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SY1034 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3874]) ).
thf(4160,plain,
! [SV27: $i,SV329: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( ! [SY1035: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1035 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1035 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SY1035 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SY1035 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3875]) ).
thf(4161,plain,
! [SV28: $i,SV330: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 )
= $false )
| ( ( ! [SY1036: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1036 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1036 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1036 @ SV28 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3876]) ).
thf(4162,plain,
! [SV29: $i,SV331: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 )
= $false )
| ( ( ! [SY1037: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1037 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SY1037 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SY1037 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3877]) ).
thf(4163,plain,
! [SV30: $i,SV332: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV332 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV332 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV332 @ SV332 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3878]) ).
thf(4164,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK3_SY703 @ SV31 ) )
| ( SV31
!= ( sK3_SY703 @ SV31 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3879]) ).
thf(4165,plain,
! [SV32: $i,SV333: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( ! [SY1038: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1038 )
| ( SV32 != SV333 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SY1038 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SY1038 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3880]) ).
thf(4166,plain,
! [SV33: $i,SV334: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 )
= $false )
| ( ( ! [SY1039: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1039 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SY1039 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SY1039 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3881]) ).
thf(4167,plain,
! [SV34: $i,SV335: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( ! [SY1040: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1040 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1040 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1040 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3882]) ).
thf(4168,plain,
! [SV35: $i] :
( ( ( p @ ( c_24__prop__34425___24a1 @ SV35 ) )
= $false )
| ( ( SV35 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3883]) ).
thf(4169,plain,
! [SV35: $i] :
( ( ( SV35 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( c_24__prop__34425___24a1 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3884]) ).
thf(4170,plain,
! [SV36: $i,SV336: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV336 )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV36 @ SV336 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV336 @ SV36 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3885]) ).
thf(4171,plain,
! [SV37: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3886]) ).
thf(4172,plain,
! [SV37: $i] :
( ( ( ( SV37 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3887]) ).
thf(4173,plain,
! [SV38: $i,SV337: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV337 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3888]) ).
thf(4174,plain,
! [SV39: $i,SV338: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV338 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV338 @ SV39 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SV338 )
= SV39 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3889]) ).
thf(4175,plain,
! [SV40: $i,SV339: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV339 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SV339 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SV339 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3890]) ).
thf(4176,plain,
! [SV42: $i,SV340: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV340 )
= $false )
| ( ( ! [SY1041: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1041 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SV340 ) @ SY1041 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SY1041 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV340 @ SY1041 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3892]) ).
thf(4177,plain,
! [SV43: $i,SV341: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( ! [SY1042: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1042 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SY1042 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1042 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1042 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SY1042 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3893]) ).
thf(4178,plain,
! [SV44: $i,SV342: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3894]) ).
thf(4179,plain,
! [SV45: $i,SV343: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV343 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SV343 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV343 @ SV45 ) )
| ( SV45 = SV343 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3895]) ).
thf(4180,plain,
! [SV46: $i,SV344: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV344 )
= $false )
| ( ( ~ ( ( SV46 != SV344 ) )
| ( SV344 != SV46 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3896]) ).
thf(4181,plain,
! [SV47: $i,SV345: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV345 )
= $false )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SV345 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV345 @ SV47 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3897]) ).
thf(4182,plain,
! [SV48: $i,SV346: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV346 )
= $false )
| ( ( ! [SY1043: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1043 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV346 @ SY1043 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SV346 ) @ SY1043 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3898]) ).
thf(4183,plain,
! [SV49: $i,SV347: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 )
= $false )
| ( ( ! [SY1044: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1044 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1044 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SY1044 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SY1044 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SY1044 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3899]) ).
thf(4184,plain,
! [SV50: $i,SV348: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3900]) ).
thf(4185,plain,
! [SV51: $i,SV349: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV349 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SV349 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV349 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3901]) ).
thf(4186,plain,
! [SV52: $i,SV350: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
= $false )
| ( ( ~ ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3902]) ).
thf(4187,plain,
! [SV54: $i,SV351: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( ! [SY1045: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1045 )
| ! [SY1046: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1046 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1045 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1046 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1045 @ SY1046 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3903]) ).
thf(4188,plain,
! [SV56: $i,SV352: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV352 )
= $false )
| ( ( ! [SY1047: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1047 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ SY1047 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SY1047 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3905]) ).
thf(4189,plain,
! [SV57: $i,SV353: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3906]) ).
thf(4190,plain,
! [SV58: $i,SV354: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV354 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV354 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV354 @ SV354 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3907]) ).
thf(4191,plain,
! [SV59: $i,SV355: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3908]) ).
thf(4192,plain,
! [SV60: $i,SV356: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV356 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV356 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV60 @ SV356 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3909]) ).
thf(4193,plain,
! [SV61: $i,SV357: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV357 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SV357 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SV357 ) )
| ( SV61 = SV357 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3910]) ).
thf(4194,plain,
! [SV62: $i,SV358: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3911]) ).
thf(4195,plain,
! [SV63: $i,SV359: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
| ~ ( ( SV359 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3912]) ).
thf(4196,plain,
! [SV64: $i,SV360: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV360 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SV360 ) )
| ( SV64 != SV360 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3913]) ).
thf(4197,plain,
! [SV65: $i,SV361: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( ! [SY1048: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1048 )
| ! [SY1049: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1049 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1048 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1049 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1048 @ SY1049 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3914]) ).
thf(4198,plain,
! [SV66: $i,SV362: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( ! [SY1050: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1050 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY1050 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SY1050 ) )
| ( SV66 = SV362 ) )
| ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SY1050 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SY1050 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3915]) ).
thf(4199,plain,
! [SV67: $i,SV363: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV363 )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SV363 ) )
| ( SV67 = SV363 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV363 @ SV67 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3916]) ).
thf(4200,plain,
! [SV68: $i,SV364: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( ! [SY1051: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1051 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SY1051 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY1051 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SY1051 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SY1051 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3917]) ).
thf(4201,plain,
! [SV70: $i,SV365: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( ! [SY1052: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1052 )
| ! [SY1053: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1053 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1052 @ SY1053 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SY1052 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SY1053 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3919]) ).
thf(4202,plain,
! [SV71: $i,SV366: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV366 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SV366 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SV366 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3920]) ).
thf(4203,plain,
! [SV72: $i,SV367: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) )
| ~ ( ( SV72 != SV367 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3921]) ).
thf(4204,plain,
! [SV73: $i,SV368: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV368 )
= $false )
| ( ( ! [SY1054: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1054 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV368 ) @ SY1054 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SY1054 ) @ SV368 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3922]) ).
thf(4205,plain,
! [SV75: $i,SV369: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( ! [SY1055: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1055 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1055 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SY1055 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3923]) ).
thf(4206,plain,
! [SV76: $i,SV370: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV370 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SV370 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV370 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3924]) ).
thf(4207,plain,
! [SV77: $i,SV371: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV371 )
= $false )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SV371 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SV371 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3925]) ).
thf(4208,plain,
! [SV78: $i,SV372: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 )
= $false )
| ( ( ~ ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3926]) ).
thf(4209,plain,
! [SV79: $i,SV373: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3927]) ).
thf(4210,plain,
! [SV80: $i,SV374: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 )
= $false )
| ( ( ~ ( ( SV374 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3928]) ).
thf(4211,plain,
! [SV81: $i,SV375: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV375 )
= $false )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV375 @ SV81 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SV375 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3929]) ).
thf(4212,plain,
! [SV82: $i,SV376: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( ! [SY1056: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1056 )
| ~ ( ( SY1056 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1056 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1056 @ SV376 ) )
| ( SV82 = SV376 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3930]) ).
thf(4213,plain,
! [SV83: $i,SV377: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV377 )
= $false )
| ( ( ~ ( ( SV377 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SV377 ) @ SV377 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3931]) ).
thf(4214,plain,
! [SV84: $i,SV378: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3932]) ).
thf(4215,plain,
! [SV86: $i,SV379: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( ! [SY1057: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1057 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SY1057 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SY1057 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SY1057 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3933]) ).
thf(4216,plain,
( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ sK2_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3935]) ).
thf(4217,plain,
( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK2_SX0 @ sK2_SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3936]) ).
thf(4218,plain,
( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ sK2_SX0 @ sK1_V0__n ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3936]) ).
thf(4219,plain,
! [SV302: $i,SV87: $i] :
( ( ( ~ ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) ) )
= $true )
| ( ( SV87 = SV302 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3937]) ).
thf(4220,plain,
! [SV302: $i,SV87: $i] :
( ( ( SV87 != SV302 )
= $true )
| ( ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3938]) ).
thf(4221,plain,
! [SV88: $i,SV380: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV380 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV380 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SV380 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3939]) ).
thf(4222,plain,
! [SV89: $i,SV381: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( ! [SY1058: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1058 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SY1058 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SY1058 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3940]) ).
thf(4223,plain,
! [SV90: $i,SV382: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( ! [SY1059: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1059 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
| ( SV382 != SY1059 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SY1059 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3941]) ).
thf(4224,plain,
! [SV91: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3942]) ).
thf(4225,plain,
! [SV91: $i] :
( ( ( ( SV91 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3943]) ).
thf(4226,plain,
! [SV93: $i,SV383: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( ~ ! [SY1060: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1060 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1060 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY1060 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ SY1060 ) ) )
| ( SV93 = SV383 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3945]) ).
thf(4227,plain,
! [SV94: $i,SV384: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( ! [SY1061: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1061 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1061 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1061 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1061 @ SV94 ) @ SV384 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3946]) ).
thf(4228,plain,
! [SV96: $i,SV385: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV385 )
= $false )
| ( ( ( SV96 != SV385 )
| ( SV385 = SV96 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3948]) ).
thf(4229,plain,
! [SV97: $i,SV386: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV386 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV386 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SV386 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3949]) ).
thf(4230,plain,
! [SV99: $i,SV387: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( ! [SY1062: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1062 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SY1062 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY1062 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SY1062 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SY1062 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3950]) ).
thf(4231,plain,
! [SV100: $i] :
( ( ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
= $false )
| ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3951]) ).
thf(4232,plain,
! [SV100: $i] :
( ( ( SV100 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3952]) ).
thf(4233,plain,
! [SV101: $i,SV388: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV388 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SV388 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV388 @ SV388 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3953]) ).
thf(4234,plain,
! [SV102: $i,SV389: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3954]) ).
thf(4235,plain,
! [SV103: $i,SV390: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV390 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SV390 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV390 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3955]) ).
thf(4236,plain,
! [SV104: $i,SV391: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 )
= $false )
| ( ( ! [SY1063: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1063 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1063 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1063 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3956]) ).
thf(4237,plain,
! [SV105: $i,SV392: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( ! [SY1064: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1064 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1064 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1064 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3957]) ).
thf(4238,plain,
! [SV107: $i,SV393: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV393 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV393 @ SV393 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ SV107 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3958]) ).
thf(4239,plain,
! [SV108: $i,SV394: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
| ( SV108 = SV394 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3959]) ).
thf(4240,plain,
! [SV109: $i,SV395: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3960]) ).
thf(4241,plain,
! [SV110: $i,SV396: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3961]) ).
thf(4242,plain,
! [SV111: $i,SV397: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( ! [SY1065: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1065 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1065 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SY1065 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SY1065 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3962]) ).
thf(4243,plain,
! [SV112: $i,SV398: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( ! [SY1066: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1066 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1066 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1066 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1066 @ SV398 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3963]) ).
thf(4244,plain,
! [SV113: $i,SV399: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( ! [SY1067: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1067 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SY1067 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SY1067 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3964]) ).
thf(4245,plain,
! [SV114: $i,SV400: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV400 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SV400 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3965]) ).
thf(4246,plain,
! [SV115: $i,SV401: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV401 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3966]) ).
thf(4247,plain,
! [SV116: $i,SV402: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV402 )
= $false )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV116 @ SV402 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3967]) ).
thf(4248,plain,
! [SV117: $i,SV403: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3968]) ).
thf(4249,plain,
! [SV118: $i,SV404: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( ! [SY1068: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1068 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
| ( SV404 != SY1068 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SY1068 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3969]) ).
thf(4250,plain,
! [SV120: $i,SV405: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( ! [SY1069: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1069 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1069 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SY1069 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SY1069 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3970]) ).
thf(4251,plain,
! [SV121: $i,SV406: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV406 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV406 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SV406 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3971]) ).
thf(4252,plain,
! [SV122: $i,SV407: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3972]) ).
thf(4253,plain,
! [SV123: $i,SV408: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( ! [SY1070: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1070 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1070 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SY1070 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SY1070 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3973]) ).
thf(4254,plain,
! [SV125: $i,SV409: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3975]) ).
thf(4255,plain,
! [SV127: $i,SV410: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV410 )
= $false )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SV410 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV410 @ SV410 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3976]) ).
thf(4256,plain,
! [SV129: $i,SV411: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3978]) ).
thf(4257,plain,
! [SV130: $i,SV412: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( ! [SY1071: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1071 )
| ! [SY1072: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1072 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SY1071 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SY1072 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1071 @ SY1072 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3979]) ).
thf(4258,plain,
! [SV131: $i,SV413: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( ! [SY1073: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1073 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SY1073 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SY1073 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3980]) ).
thf(4259,plain,
! [SV132: $i,SV414: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( ! [SY1074: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1074 )
| ! [SY1075: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1075 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1074 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1074 @ SY1075 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SY1074 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SY1075 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3981]) ).
thf(4260,plain,
! [SV133: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3982]) ).
thf(4261,plain,
! [SV133: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3983]) ).
thf(4262,plain,
! [SV134: $i,SV415: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( ! [SY1076: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1076 )
| ~ ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SY1076 ) )
| ( SY1076
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3984]) ).
thf(4263,plain,
! [SV135: $i,SV416: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
= $false )
| ( ( ! [SY1077: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1077 )
| ! [SY1078: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1078 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1077 @ SY1078 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SY1077 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SY1078 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3985]) ).
thf(4264,plain,
! [SV136: $i,SV417: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV417 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SV417 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV417 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3986]) ).
thf(4265,plain,
! [SV137: $i,SV418: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV418 )
= $false )
| ( ( ! [SY1079: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1079 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV418 @ SY1079 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV418 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SY1079 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3987]) ).
thf(4266,plain,
! [SV139: $i,SV419: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( ! [SY1080: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1080 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
| ( SV419 != SY1080 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SY1080 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3988]) ).
thf(4267,plain,
! [SV140: $i,SV420: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV420 )
= $false )
| ( ( ! [SY1081: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1081 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV420 @ SY1081 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SV420 ) @ SY1081 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3989]) ).
thf(4268,plain,
! [SV141: $i,SV421: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV421 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV421 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV421 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3990]) ).
thf(4269,plain,
! [SV142: $i,SV422: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( ! [SY1082: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1082 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SY1082 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SY1082 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3991]) ).
thf(4270,plain,
! [SV144: $i,SV423: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV423 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3993]) ).
thf(4271,plain,
! [SV145: $i,SV424: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV424 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SV424 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SV424 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3994]) ).
thf(4272,plain,
! [SV146: $i,SV425: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
| ( SV146 = SV425 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3995]) ).
thf(4273,plain,
! [SV147: $i,SV426: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV426 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SV426 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV426 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3996]) ).
thf(4274,plain,
! [SV148: $i,SV427: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 )
= $false )
| ( ( ! [SY1083: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1083 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SY1083 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3997]) ).
thf(4275,plain,
! [SV149: $i] :
( ( ( SV149 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV149 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3998]) ).
thf(4276,plain,
! [SV151: $i,SV428: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( ! [SY1084: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1084 )
| ! [SY1085: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1085 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SY1084 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SY1085 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1084 @ SY1085 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4000]) ).
thf(4277,plain,
! [SV152: $i,SV429: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV429 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SV429 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV429 @ SV429 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4001]) ).
thf(4278,plain,
! [SV154: $i,SV430: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 )
= $false )
| ( ( ! [SY1086: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1086 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1086 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1086 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4003]) ).
thf(4279,plain,
! [SV155: $i,SV431: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV431 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV155 @ SV431 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4004]) ).
thf(4280,plain,
! [SV158: $i,SV432: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( ! [SY1087: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1087 )
| ~ ( ( SV158 != SV432 ) )
| ( SV432 != SY1087 )
| ( SV158 != SY1087 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4005]) ).
thf(4281,plain,
! [SV160: $i,SV433: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV433 )
= $false )
| ( ( ! [SY1088: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1088 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SV433 ) @ SY1088 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SY1088 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV433 @ SY1088 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4007]) ).
thf(4282,plain,
! [SV161: $i,SV434: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4008]) ).
thf(4283,plain,
! [SV162: $i,SV435: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( ! [SY1089: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1089 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SY1089 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SY1089 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4009]) ).
thf(4284,plain,
! [SV163: $i] :
( ( ( SV163 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV163 @ SV163 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4010]) ).
thf(4285,plain,
! [SV165: $i] :
( ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $false )
| ( ( ( p @ SV165 )
| ~ ( p @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4011]) ).
thf(4286,plain,
! [SV165: $i] :
( ( ( ( p @ SV165 )
| ~ ( p @ SV165 ) )
= $false )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4012]) ).
thf(4287,plain,
! [SV166: $i,SV436: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV436 )
= $false )
| ( ( ! [SY1090: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1090 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV436 ) @ SY1090 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SY1090 ) @ SV436 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4013]) ).
thf(4288,plain,
! [SV167: $i,SV437: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV437 )
= $false )
| ( ( ! [SY1091: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1091 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SV437 ) @ SY1091 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SY1091 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV437 @ SY1091 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4014]) ).
thf(4289,plain,
! [SV168: $i,SV438: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV438 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV168 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV438 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV168 @ SV438 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4015]) ).
thf(4290,plain,
! [SV170: $i,SV439: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4016]) ).
thf(4291,plain,
! [SV171: $i,SV440: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( ! [SY1092: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1092 )
| ! [SY1093: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1093 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1092 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1092 @ SY1093 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SY1092 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SY1093 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4017]) ).
thf(4292,plain,
! [SV172: $i,SV441: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( ! [SY1094: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1094 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
| ( SV172 != SY1094 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1094 @ SV441 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4018]) ).
thf(4293,plain,
! [SV174: $i,SV442: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV442 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SV442 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV442 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4019]) ).
thf(4294,plain,
! [SV175: $i,SV443: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 )
= $false )
| ( ( ! [SY1095: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1095 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1095 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SY1095 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SY1095 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SY1095 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4020]) ).
thf(4295,plain,
! [SV176: $i,SV444: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV444 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SV444 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SV444 )
= SV176 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4021]) ).
thf(4296,plain,
! [SV177: $i,SV445: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
| ~ ! [SY1096: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1096 )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1096 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1096 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4022]) ).
thf(4297,plain,
! [SV179: $i,SV446: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV446 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV446 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SV446 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4024]) ).
thf(4298,plain,
! [SV181: $i,SV447: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( ! [SY1097: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1097 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SY1097 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4025]) ).
thf(4299,plain,
! [SV183: $i,SV448: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV448 )
= $false )
| ( ( ( SV183 != SV448 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV448 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4026]) ).
thf(4300,plain,
! [SV184: $i,SV449: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV449 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV449 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SV449 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4027]) ).
thf(4301,plain,
! [SV185: $i,SV450: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( ! [SY1098: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1098 )
| ! [SY1099: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1099 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1099 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1098 @ SY1099 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SY1099 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SY1098 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4028]) ).
thf(4302,plain,
! [SV186: $i,SV451: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) )
| ~ ( ( SV186 != SV451 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4029]) ).
thf(4303,plain,
! [SV187: $i,SV452: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4030]) ).
thf(4304,plain,
! [SV188: $i,SV453: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4031]) ).
thf(4305,plain,
! [SV189: $i,SV454: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( ! [SY1100: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1100 )
| ~ ( ( SY1100 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1100 @ SV454 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4032]) ).
thf(4306,plain,
! [SV190: $i,SV455: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 )
= $false )
| ( ( ! [SY1101: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1101 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1101 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1101 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4033]) ).
thf(4307,plain,
! [SV191: $i,SV456: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV456 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV191 @ SV456 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4034]) ).
thf(4308,plain,
! [SV192: $i,SV457: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( ! [SY1102: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1102 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SY1102 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SY1102 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4035]) ).
thf(4309,plain,
! [SV193: $i,SV458: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV458 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV458 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV458 @ SV458 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SV458 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4036]) ).
thf(4310,plain,
! [SV194: $i,SV459: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( ! [SY1103: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1103 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1103 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SY1103 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SY1103 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4037]) ).
thf(4311,plain,
! [SV195: $i,SV460: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV460 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SV460 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV460 @ SV195 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4038]) ).
thf(4312,plain,
! [SV196: $i,SV461: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV461 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV461 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV461 @ SV461 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV461 @ SV196 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4039]) ).
thf(4313,plain,
! [SV198: $i,SV462: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4040]) ).
thf(4314,plain,
! [SV199: $i,SV463: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV463 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SV463 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV463 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4041]) ).
thf(4315,plain,
! [SV200: $i,SV464: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4042]) ).
thf(4316,plain,
! [SV202: $i,SV465: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV465 )
= $false )
| ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SV465 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SV465 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4043]) ).
thf(4317,plain,
! [SV204: $i,SV466: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV466 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV204 ) @ SV466 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV204 @ SV466 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4044]) ).
thf(4318,plain,
! [SV206: $i,SV467: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV467 )
= $false )
| ( ( ~ ~ ( ( SV206 != SV467 ) )
| ( SV206 = SV467 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4045]) ).
thf(4319,plain,
! [SV207: $i,SV468: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( ! [SY1104: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1104 )
| ! [SY1105: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1105 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1104 @ SY1105 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SY1104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SY1105 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4046]) ).
thf(4320,plain,
! [SV208: $i,SV469: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV469 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SV469 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV469 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4047]) ).
thf(4321,plain,
! [SV209: $i,SV470: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV470 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SV470 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV470 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4048]) ).
thf(4322,plain,
! [SV210: $i,SV471: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV471 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV471 @ SV210 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SV471 )
= SV471 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4049]) ).
thf(4323,plain,
! [SV211: $i,SV472: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4050]) ).
thf(4324,plain,
! [SV213: $i,SV473: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV473 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SV473 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SV473 )
= SV473 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4052]) ).
thf(4325,plain,
! [SV214: $i,SV474: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 )
= $false )
| ( ( ! [SY1106: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1106 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1106 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1106 @ SV474 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4053]) ).
thf(4326,plain,
! [SV215: $i,SV475: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV475 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV475 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SV475 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4054]) ).
thf(4327,plain,
! [SV216: $i,SV476: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( ~ ( ~ ( ~ ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) )
| ( SV216 = SV476 ) )
| ~ ( ( SV216 != SV476 )
| ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4055]) ).
thf(4328,plain,
! [SV217: $i,SV477: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
| ( SV217 = SV477 ) )
| ~ ( ( SV217 != SV477 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4056]) ).
thf(4329,plain,
! [SV218: $i,SV478: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV478 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SV478 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV478 @ SV218 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4057]) ).
thf(4330,plain,
! [SV219: $i] :
( ( ( SV219 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV219 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV219 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4058]) ).
thf(4331,plain,
! [SV221: $i,SV479: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( ! [SY1109: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1109 )
| ~ ( ( SY1109 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SY1109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SY1109 ) )
| ( SV221 = SV479 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4059]) ).
thf(4332,plain,
! [SV222: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4060]) ).
thf(4333,plain,
! [SV222: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4061]) ).
thf(4334,plain,
! [SV223: $i,SV480: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 )
= $false )
| ( ( ~ ( ( SV480 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4062]) ).
thf(4335,plain,
! [SV224: $i,SV481: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( ! [SY1110: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1110 )
| ! [SY1111: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1111 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1111 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1110 @ SY1111 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SY1111 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SY1110 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4063]) ).
thf(4336,plain,
! [SV225: $i,SV482: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 )
= $false )
| ( ( ! [SY1112: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1112 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1112 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SY1112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SY1112 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SY1112 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4064]) ).
thf(4337,plain,
! [SV226: $i,SV483: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV483 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV483 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SV483 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4065]) ).
thf(4338,plain,
! [SV227: $i,SV484: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4066]) ).
thf(4339,plain,
! [SV228: $i,SV485: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( ! [SY1113: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1113 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1113 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4067]) ).
thf(4340,plain,
! [SV229: $i,SV486: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( ! [SY1114: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1114 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1114 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1114 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1114 @ SV229 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4068]) ).
thf(4341,plain,
! [SV230: $i,SV487: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV487 )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV230 @ SV487 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV487 @ SV230 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV230 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4069]) ).
thf(4342,plain,
! [SV231: $i,SV488: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( ! [SY1115: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1115 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV488 ) )
| ( SV231 = SV488 ) )
| ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1115 @ SV488 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4070]) ).
thf(4343,plain,
! [SV232: $i,SV489: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( ! [SY1116: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1116 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SY1116 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SY1116 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY1116 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SY1116 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SY1116 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4071]) ).
thf(4344,plain,
! [SV233: $i,SV490: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4072]) ).
thf(4345,plain,
! [SV234: $i,SV491: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4073]) ).
thf(4346,plain,
! [SV235: $i,SV492: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( ! [SY1117: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1117 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SY1117 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SY1117 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4074]) ).
thf(4347,plain,
! [SV236: $i,SV493: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( ! [SY1118: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1118 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1118 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SY1118 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SY1118 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4075]) ).
thf(4348,plain,
! [SV237: $i,SV494: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( ! [SY1119: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1119 )
| ( SV237 != SV494 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SY1119 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SY1119 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4076]) ).
thf(4349,plain,
! [SV238: $i,SV495: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4077]) ).
thf(4350,plain,
! [SV239: $i,SV496: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV496 )
= $false )
| ( ( ~ ( ( SV496 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SV496 ) @ SV496 )
= SV239 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4078]) ).
thf(4351,plain,
! [SV303: $i,SV240: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 ) )
= $true )
| ( ( ~ ! [SY1022: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1022 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1022 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4079]) ).
thf(4352,plain,
! [SV240: $i,SV303: $i] :
( ( ( ~ ~ ! [SY1023: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1023 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1023 @ SV240 ) ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4080]) ).
thf(4353,plain,
! [SV241: $i,SV497: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4081]) ).
thf(4354,plain,
! [SV243: $i,SV498: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( ! [SY1120: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1120 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1120 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SY1120 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SY1120 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4082]) ).
thf(4355,plain,
! [SV244: $i,SV499: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4083]) ).
thf(4356,plain,
! [SV245: $i,SV500: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( ! [SY1121: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1121 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SY1121 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1121 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1121 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SY1121 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4084]) ).
thf(4357,plain,
! [SV246: $i,SV501: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV501 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV501 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SV501 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4085]) ).
thf(4358,plain,
! [SV247: $i,SV502: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( ! [SY1122: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1122 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV502 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1122 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4086]) ).
thf(4359,plain,
! [SV248: $i,SV503: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV503 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SV503 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV503 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4087]) ).
thf(4360,plain,
! [SV249: $i,SV504: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 )
= $false )
| ( ( ! [SY1123: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1123 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1123 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SY1123 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SY1123 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SY1123 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4088]) ).
thf(4361,plain,
! [SV250: $i,SV505: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV505 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV505 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV505 @ SV250 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4089]) ).
thf(4362,plain,
! [SV251: $i,SV506: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4090]) ).
thf(4363,plain,
! [SV252: $i,SV507: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV507 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV507 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV507 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV507 @ SV507 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4091]) ).
thf(4364,plain,
! [SV253: $i,SV508: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( ! [SY1124: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1124 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1124 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SY1124 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SY1124 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4092]) ).
thf(4365,plain,
! [SV254: $i,SV509: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV509 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV254 ) @ SV509 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV254 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV509 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV254 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4093]) ).
thf(4366,plain,
! [SV255: $i,SV510: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV510 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV510 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV510 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV510 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4094]) ).
thf(4367,plain,
! [SV256: $i,SV511: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV511 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV511 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SV511 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4095]) ).
thf(4368,plain,
! [SV257: $i,SV512: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV512 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV257 @ SV512 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV512 @ SV257 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV257 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4096]) ).
thf(4369,plain,
! [SV258: $i,SV513: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV513 )
= $false )
| ( ( ~ ( ( SV513 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SV513 ) @ SV513 )
= SV258 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4097]) ).
thf(4370,plain,
! [SV259: $i,SV514: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV514 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV514 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SV514 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4098]) ).
thf(4371,plain,
! [SV260: $i,SV515: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV515 )
= $false )
| ( ( ~ ( ( SV515 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SV515 ) @ SV260 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4099]) ).
thf(4372,plain,
! [SV304: $i,SV261: $i] :
( ( ( ~ ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) ) )
= $true )
| ( ( SV261 = SV304 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4100]) ).
thf(4373,plain,
! [SV304: $i,SV261: $i] :
( ( ( SV261 != SV304 )
= $true )
| ( ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4101]) ).
thf(4374,plain,
! [SV263: $i,SV516: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV516 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV516 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV516 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4103]) ).
thf(4375,plain,
! [SV264: $i,SV517: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( ~ ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4104]) ).
thf(4376,plain,
! [SV267: $i,SV518: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( ! [SY1125: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1125 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SY1125 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SY1125 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4105]) ).
thf(4377,plain,
! [SV268: $i,SV519: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 )
= $false )
| ( ( ! [SY1126: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1126 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1126 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1126 @ SV519 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4106]) ).
thf(4378,plain,
! [SV269: $i,SV520: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV520 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV269 @ SV269 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV520 @ SV520 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV269 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4107]) ).
thf(4379,plain,
! [SV270: $i,SV521: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4108]) ).
thf(4380,plain,
! [SV271: $i,SV522: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 )
= $false )
| ( ( ! [SY1127: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1127 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1127 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1127 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4109]) ).
thf(4381,plain,
! [SV305: $i,SV272: $i] :
( ( ( ~ ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) ) )
= $true )
| ( ( ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4110]) ).
thf(4382,plain,
! [SV305: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) )
= $true )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4111]) ).
thf(4383,plain,
! [SV273: $i,SV523: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( ! [SY1128: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1128 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1128 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1128 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1128 @ SV523 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4112]) ).
thf(4384,plain,
! [SV274: $i,SV524: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV524 )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV274 @ SV524 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV524 @ SV274 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4113]) ).
thf(4385,plain,
! [SV275: $i,SV525: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( ! [SY1129: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1129 )
| ( SV275 != SV525 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SY1129 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SY1129 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4114]) ).
thf(4386,plain,
! [SV276: $i,SV526: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV526 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV526 @ SV276 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SV526 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4115]) ).
thf(4387,plain,
! [SV277: $i,SV527: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV527 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV277 @ SV527 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV527 @ SV277 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4116]) ).
thf(4388,plain,
! [SV280: $i,SV528: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV528 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV528 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SV528 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV528 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4118]) ).
thf(4389,plain,
! [SV281: $i,SV529: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV529 )
= $false )
| ( ( ( SV281 != SV529 )
| ( SV529 = SV281 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4119]) ).
thf(4390,plain,
! [SV282: $i,SV530: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( ! [SY1130: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1130 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SY1130 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SY1130 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SY1130 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4120]) ).
thf(4391,plain,
! [SV283: $i,SV531: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( ! [SY1131: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1131 )
| ! [SY1132: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1132 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SY1131 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SY1132 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1131 @ SY1132 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4121]) ).
thf(4392,plain,
! [SV284: $i,SV532: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( ! [SY1133: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1133 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1133 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SY1133 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SY1133 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4122]) ).
thf(4393,plain,
! [SV286: $i,SV533: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV533 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SV533 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV533 @ SV286 ) )
| ( SV286 = SV533 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4123]) ).
thf(4394,plain,
! [SV287: $i,SV534: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4124]) ).
thf(4395,plain,
! [SV288: $i,SV535: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( ! [SY1134: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1134 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SY1134 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SY1134 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4125]) ).
thf(4396,plain,
! [SV289: $i,SV536: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV536 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV536 @ SV536 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV536 @ SV289 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4126]) ).
thf(4397,plain,
! [SV290: $i,SV537: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV537 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV290 @ SV537 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV537 @ SV290 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV290 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4127]) ).
thf(4398,plain,
! [SV294: $i,SV538: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( ! [SY1135: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1135 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SY1135 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SY1135 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4130]) ).
thf(4399,plain,
! [SV295: $i,SV539: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV539 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV539 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV539 @ SV539 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4131]) ).
thf(4400,plain,
! [SV296: $i,SV540: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV540 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV540 ) )
| ( SV296 = SV540 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4132]) ).
thf(4401,plain,
! [SV297: $i,SV541: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( ! [SY1136: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1136 )
| ( SV297 != SV541 )
| ~ ( ( SV541 != SY1136 ) )
| ( SV297 != SY1136 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4133]) ).
thf(4402,plain,
! [SV298: $i,SV542: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV542 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV542 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV542 @ SV542 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SV542 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4134]) ).
thf(4403,plain,
! [SV299: $i,SV543: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 )
= $false )
| ( ( ! [SY1137: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1137 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1137 @ SV543 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4135]) ).
thf(4404,plain,
! [SV300: $i,SV544: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV544 )
= $false )
| ( ( ( SV300 != SV544 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SV544 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4136]) ).
thf(4405,plain,
! [SV306: $i,SV1: $i,SV545: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV545 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4137]) ).
thf(4406,plain,
! [SV307: $i,SV2: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV307 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SV307 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV307 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4138]) ).
thf(4407,plain,
! [SV308: $i,SV3: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV308 ) )
= $true )
| ( ( SV3 = SV308 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV308 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4139]) ).
thf(4408,plain,
! [SV4: $i,SV309: $i,SV546: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 )
| ~ ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
| ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4140]) ).
thf(4409,plain,
! [SV310: $i,SV5: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4141]) ).
thf(4410,plain,
! [SV312: $i,SV7: $i,SV547: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV547 )
| ( SV7 != SV312 )
| ( SV312 != SV547 )
| ( SV7 = SV547 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4143]) ).
thf(4411,plain,
! [SV313: $i,SV8: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SV313 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV313 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV313 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4144]) ).
thf(4412,plain,
! [SV314: $i,SV9: $i,SV548: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4145]) ).
thf(4413,plain,
! [SV10: $i,SV315: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV315 @ SV10 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SV315 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV315 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4146]) ).
thf(4414,plain,
! [SV316: $i,SV11: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SV316 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV316 @ SV11 ) )
| ( SV11 = SV316 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV316 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4147]) ).
thf(4415,plain,
! [SV318: $i,SV15: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SV318 ) )
= SV15 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV318 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4149]) ).
thf(4416,plain,
! [SV319: $i,SV16: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ( SV319 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4150]) ).
thf(4417,plain,
! [SV320: $i,SV18: $i,SV549: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4151]) ).
thf(4418,plain,
! [SV321: $i,SV19: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV321 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SV321 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV321 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4152]) ).
thf(4419,plain,
! [SV322: $i,SV20: $i,SV550: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV550 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV322 @ SV550 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV322 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV550 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV322 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4153]) ).
thf(4420,plain,
! [SV323: $i,SV21: $i,SV551: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4154]) ).
thf(4421,plain,
! [SV324: $i,SV22: $i,SV552: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV552 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SV552 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4155]) ).
thf(4422,plain,
! [SV325: $i,SV23: $i,SV553: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV553 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV325 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4156]) ).
thf(4423,plain,
! [SV326: $i,SV24: $i,SV554: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV554 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SV554 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SV554 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4157]) ).
thf(4424,plain,
! [SV25: $i,SV327: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV327 @ SV25 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SV327 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV327 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4158]) ).
thf(4425,plain,
! [SV328: $i,SV26: $i,SV555: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV555 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
| ( SV328 != SV555 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV555 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4159]) ).
thf(4426,plain,
! [SV329: $i,SV27: $i,SV556: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV556 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV556 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SV556 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SV556 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4160]) ).
thf(4427,plain,
! [SV330: $i,SV28: $i,SV557: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV557 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ SV28 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4161]) ).
thf(4428,plain,
! [SV331: $i,SV29: $i,SV558: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV558 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SV558 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SV558 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4162]) ).
thf(4429,plain,
! [SV332: $i,SV30: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV332 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV332 @ SV332 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV332 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4163]) ).
thf(4430,plain,
! [SV31: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK3_SY703 @ SV31 ) )
| ( SV31
!= ( sK3_SY703 @ SV31 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4164]) ).
thf(4431,plain,
! [SV333: $i,SV32: $i,SV559: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV559 )
| ( SV32 != SV333 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SV559 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SV559 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4165]) ).
thf(4432,plain,
! [SV334: $i,SV33: $i,SV560: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV560 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SV560 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SV560 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4166]) ).
thf(4433,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4167]) ).
thf(4434,plain,
! [SV336: $i,SV36: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV36 @ SV336 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV336 @ SV36 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV336 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4170]) ).
thf(4435,plain,
! [SV37: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4171]) ).
thf(4436,plain,
! [SV37: $i] :
( ( ( SV37 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4172]) ).
thf(4437,plain,
! [SV337: $i,SV38: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ( SV337 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4173]) ).
thf(4438,plain,
! [SV39: $i,SV338: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV338 @ SV39 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SV338 )
= SV39 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV338 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4174]) ).
thf(4439,plain,
! [SV339: $i,SV40: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SV339 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SV339 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV339 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4175]) ).
thf(4440,plain,
! [SV340: $i,SV42: $i,SV562: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV562 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SV340 ) @ SV562 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SV562 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV340 @ SV562 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV340 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4176]) ).
thf(4441,plain,
! [SV341: $i,SV43: $i,SV563: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4177]) ).
thf(4442,plain,
! [SV44: $i,SV342: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4178]) ).
thf(4443,plain,
! [SV343: $i,SV45: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SV343 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV343 @ SV45 ) )
| ( SV45 = SV343 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV343 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4179]) ).
thf(4444,plain,
! [SV344: $i,SV46: $i] :
( ( ( ~ ( ( SV46 != SV344 ) ) )
= $true )
| ( ( SV344 != SV46 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV344 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4180]) ).
thf(4445,plain,
! [SV345: $i,SV47: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SV345 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV345 @ SV47 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV345 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4181]) ).
thf(4446,plain,
! [SV346: $i,SV48: $i,SV564: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV564 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV346 @ SV564 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SV346 ) @ SV564 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV346 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4182]) ).
thf(4447,plain,
! [SV347: $i,SV49: $i,SV565: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV565 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV565 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SV565 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SV565 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SV565 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4183]) ).
thf(4448,plain,
! [SV50: $i,SV348: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4184]) ).
thf(4449,plain,
! [SV349: $i,SV51: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SV349 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV349 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV349 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4185]) ).
thf(4450,plain,
! [SV350: $i,SV52: $i] :
( ( ( ~ ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4186]) ).
thf(4451,plain,
! [SV351: $i,SV54: $i,SV566: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
| ! [SY1138: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1138 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1138 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SY1138 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4187]) ).
thf(4452,plain,
! [SV352: $i,SV56: $i,SV567: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV567 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ SV567 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SV567 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV352 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4188]) ).
thf(4453,plain,
! [SV353: $i,SV57: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4189]) ).
thf(4454,plain,
! [SV354: $i,SV58: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV354 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV354 @ SV354 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV354 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4190]) ).
thf(4455,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4191]) ).
thf(4456,plain,
! [SV357: $i,SV61: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SV357 ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SV357 ) )
| ( SV61 = SV357 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV357 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4193]) ).
thf(4457,plain,
! [SV62: $i,SV358: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4194]) ).
thf(4458,plain,
! [SV359: $i,SV63: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) ) )
= $true )
| ( ( ~ ( ( SV359 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4195]) ).
thf(4459,plain,
! [SV360: $i,SV64: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SV360 ) ) )
= $true )
| ( ( SV64 != SV360 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV360 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4196]) ).
thf(4460,plain,
! [SV361: $i,SV65: $i,SV568: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
| ! [SY1139: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1139 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1139 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SY1139 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4197]) ).
thf(4461,plain,
! [SV362: $i,SV66: $i,SV569: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
| ( SV66 = SV362 ) )
| ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4198]) ).
thf(4462,plain,
! [SV363: $i,SV67: $i] :
( ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SV363 ) )
| ( SV67 = SV363 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV363 @ SV67 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV363 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4199]) ).
thf(4463,plain,
! [SV364: $i,SV68: $i,SV570: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4200]) ).
thf(4464,plain,
! [SV365: $i,SV70: $i,SV571: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
| ! [SY1140: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1140 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SY1140 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SY1140 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4201]) ).
thf(4465,plain,
! [SV366: $i,SV71: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SV366 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SV366 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV366 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4202]) ).
thf(4466,plain,
! [SV367: $i,SV72: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) ) )
= $true )
| ( ( ~ ( ( SV72 != SV367 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4203]) ).
thf(4467,plain,
! [SV368: $i,SV73: $i,SV572: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV572 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV368 ) @ SV572 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV572 ) @ SV368 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV368 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4204]) ).
thf(4468,plain,
! [SV369: $i,SV75: $i,SV573: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4205]) ).
thf(4469,plain,
! [SV370: $i,SV76: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SV370 ) ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV370 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV370 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4206]) ).
thf(4470,plain,
! [SV371: $i,SV77: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SV371 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SV371 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV371 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4207]) ).
thf(4471,plain,
! [SV372: $i,SV78: $i] :
( ( ( ~ ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4208]) ).
thf(4472,plain,
! [SV373: $i,SV79: $i] :
( ( ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4209]) ).
thf(4473,plain,
! [SV80: $i,SV374: $i] :
( ( ( ~ ( ( SV374 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4210]) ).
thf(4474,plain,
! [SV81: $i,SV375: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV375 @ SV81 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SV375 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV375 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4211]) ).
thf(4475,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 )
| ~ ( ( SV574 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
| ( SV82 = SV376 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4212]) ).
thf(4476,plain,
! [SV83: $i,SV377: $i] :
( ( ( ~ ( ( SV377 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SV377 ) @ SV377 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV377 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4213]) ).
thf(4477,plain,
! [SV378: $i,SV84: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4214]) ).
thf(4478,plain,
! [SV379: $i,SV86: $i,SV575: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV575 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SV575 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SV575 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SV575 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4215]) ).
thf(4479,plain,
( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK2_SX0 @ sK2_SX0 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ sK1_V0__n @ sK1_V0__n ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4217]) ).
thf(4480,plain,
! [SV302: $i,SV87: $i] :
( ( ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) )
= $false )
| ( ( SV87 = SV302 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4219]) ).
thf(4481,plain,
! [SV302: $i,SV87: $i] :
( ( ( SV87 = SV302 )
= $false )
| ( ( p @ ( c_24__prop__35229___24a2 @ SV87 @ SV302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4220]) ).
thf(4482,plain,
! [SV380: $i,SV88: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV380 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SV380 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV380 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4221]) ).
thf(4483,plain,
! [SV381: $i,SV89: $i,SV576: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV576 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SV576 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SV576 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4222]) ).
thf(4484,plain,
! [SV382: $i,SV90: $i,SV577: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV577 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
| ( SV382 != SV577 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV577 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4223]) ).
thf(4485,plain,
! [SV91: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4224]) ).
thf(4486,plain,
! [SV91: $i] :
( ( ( SV91 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4225]) ).
thf(4487,plain,
! [SV383: $i,SV93: $i] :
( ( ( ~ ! [SY1060: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1060 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1060 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY1060 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ SY1060 ) ) ) )
= $true )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4226]) ).
thf(4488,plain,
! [SV384: $i,SV94: $i,SV578: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4227]) ).
thf(4489,plain,
! [SV385: $i,SV96: $i] :
( ( ( SV96 != SV385 )
= $true )
| ( ( SV385 = SV96 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV385 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4228]) ).
thf(4490,plain,
! [SV386: $i,SV97: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV386 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SV386 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV386 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4229]) ).
thf(4491,plain,
! [SV387: $i,SV99: $i,SV579: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4230]) ).
thf(4492,plain,
! [SV100: $i] :
( ( ( SV100 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4231]) ).
thf(4493,plain,
! [SV100: $i] :
( ( ( SV100 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( c_24__prop__34426___24a1 @ SV100 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4232]) ).
thf(4494,plain,
! [SV388: $i,SV101: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SV388 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV388 @ SV388 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV388 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4233]) ).
thf(4495,plain,
! [SV389: $i,SV102: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4234]) ).
thf(4496,plain,
! [SV390: $i,SV103: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SV390 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV390 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV390 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4235]) ).
thf(4497,plain,
! [SV391: $i,SV104: $i,SV580: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV580 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV580 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4236]) ).
thf(4498,plain,
! [SV392: $i,SV105: $i,SV581: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4237]) ).
thf(4499,plain,
! [SV107: $i,SV393: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV393 @ SV393 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ SV107 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV393 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4238]) ).
thf(4500,plain,
! [SV394: $i,SV108: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
| ( SV108 = SV394 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4239]) ).
thf(4501,plain,
! [SV395: $i,SV109: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4240]) ).
thf(4502,plain,
! [SV396: $i,SV110: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4241]) ).
thf(4503,plain,
! [SV397: $i,SV111: $i,SV582: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV582 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV582 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SV582 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SV582 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4242]) ).
thf(4504,plain,
! [SV398: $i,SV112: $i,SV583: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV583 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV583 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV398 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4243]) ).
thf(4505,plain,
! [SV399: $i,SV113: $i,SV584: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV584 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SV584 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV584 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4244]) ).
thf(4506,plain,
! [SV400: $i,SV114: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SV400 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV400 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4245]) ).
thf(4507,plain,
! [SV401: $i,SV115: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ( SV401 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4246]) ).
thf(4508,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4248]) ).
thf(4509,plain,
! [SV404: $i,SV118: $i,SV585: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV585 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
| ( SV404 != SV585 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV585 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4249]) ).
thf(4510,plain,
! [SV405: $i,SV120: $i,SV586: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV586 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV586 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SV586 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SV586 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4250]) ).
thf(4511,plain,
! [SV406: $i,SV121: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV406 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SV406 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV406 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4251]) ).
thf(4512,plain,
! [SV122: $i,SV407: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4252]) ).
thf(4513,plain,
! [SV408: $i,SV123: $i,SV587: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV587 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV587 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SV587 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SV587 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4253]) ).
thf(4514,plain,
! [SV409: $i,SV125: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4254]) ).
thf(4515,plain,
! [SV410: $i,SV127: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SV410 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV410 @ SV410 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV410 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4255]) ).
thf(4516,plain,
! [SV411: $i,SV129: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4256]) ).
thf(4517,plain,
! [SV412: $i,SV130: $i,SV588: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
| ! [SY1141: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1141 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SY1141 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SY1141 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4257]) ).
thf(4518,plain,
! [SV413: $i,SV131: $i,SV589: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV589 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SV589 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SV589 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4258]) ).
thf(4519,plain,
! [SV414: $i,SV132: $i,SV590: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
| ! [SY1142: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1142 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SY1142 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SY1142 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4259]) ).
thf(4520,plain,
! [SV133: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4260]) ).
thf(4521,plain,
! [SV133: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4261]) ).
thf(4522,plain,
! [SV134: $i,SV415: $i,SV591: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 )
| ~ ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
| ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4262]) ).
thf(4523,plain,
! [SV416: $i,SV135: $i,SV592: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV592 )
| ! [SY1143: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1143 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV592 @ SY1143 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV592 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SY1143 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4263]) ).
thf(4524,plain,
! [SV417: $i,SV136: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SV417 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV417 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV417 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4264]) ).
thf(4525,plain,
! [SV418: $i,SV137: $i,SV593: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV593 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV418 @ SV593 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV418 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV593 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV418 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4265]) ).
thf(4526,plain,
! [SV419: $i,SV139: $i,SV594: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV594 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
| ( SV419 != SV594 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV594 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4266]) ).
thf(4527,plain,
! [SV420: $i,SV140: $i,SV595: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV595 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV420 @ SV595 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SV420 ) @ SV595 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV420 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4267]) ).
thf(4528,plain,
! [SV421: $i,SV141: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV421 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV421 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV421 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4268]) ).
thf(4529,plain,
! [SV422: $i,SV142: $i,SV596: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4269]) ).
thf(4530,plain,
! [SV423: $i,SV144: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV423 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4270]) ).
thf(4531,plain,
! [SV424: $i,SV145: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SV424 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SV424 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV424 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4271]) ).
thf(4532,plain,
! [SV425: $i,SV146: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
| ( SV146 = SV425 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4272]) ).
thf(4533,plain,
! [SV426: $i,SV147: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SV426 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV426 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV426 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4273]) ).
thf(4534,plain,
! [SV427: $i,SV148: $i,SV597: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV597 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SV597 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4274]) ).
thf(4535,plain,
! [SV428: $i,SV151: $i,SV598: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
| ! [SY1144: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1144 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SY1144 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SY1144 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4276]) ).
thf(4536,plain,
! [SV429: $i,SV152: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SV429 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV429 @ SV429 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV429 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4277]) ).
thf(4537,plain,
! [SV430: $i,SV154: $i,SV599: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV599 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV599 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4278]) ).
thf(4538,plain,
! [SV432: $i,SV158: $i,SV600: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
| ~ ( ( SV158 != SV432 ) )
| ( SV432 != SV600 )
| ( SV158 != SV600 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4280]) ).
thf(4539,plain,
! [SV433: $i,SV160: $i,SV601: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV601 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SV433 ) @ SV601 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SV601 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV433 @ SV601 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV433 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4281]) ).
thf(4540,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4282]) ).
thf(4541,plain,
! [SV435: $i,SV162: $i,SV602: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV602 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SV602 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV602 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4283]) ).
thf(4542,plain,
! [SV165: $i] :
( ( ( p @ SV165 )
= $true )
| ( ( ~ ( p @ SV165 ) )
= $true )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4285]) ).
thf(4543,plain,
! [SV165: $i] :
( ( ( p @ SV165 )
= $false )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4286]) ).
thf(4544,plain,
! [SV165: $i] :
( ( ( ~ ( p @ SV165 ) )
= $false )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4286]) ).
thf(4545,plain,
! [SV436: $i,SV166: $i,SV603: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV603 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV436 ) @ SV603 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV603 ) @ SV436 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV436 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4287]) ).
thf(4546,plain,
! [SV437: $i,SV167: $i,SV604: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV604 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SV437 ) @ SV604 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SV604 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV437 @ SV604 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV437 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4288]) ).
thf(4547,plain,
! [SV170: $i,SV439: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4290]) ).
thf(4548,plain,
! [SV440: $i,SV171: $i,SV605: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
| ! [SY1145: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1145 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SY1145 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SY1145 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4291]) ).
thf(4549,plain,
! [SV441: $i,SV172: $i,SV606: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV606 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
| ( SV172 != SV606 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV606 @ SV441 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4292]) ).
thf(4550,plain,
! [SV442: $i,SV174: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SV442 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV442 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV442 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4293]) ).
thf(4551,plain,
! [SV443: $i,SV175: $i,SV607: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV607 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV607 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SV607 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SV607 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SV607 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4294]) ).
thf(4552,plain,
! [SV444: $i,SV176: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SV444 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SV444 )
= SV176 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV444 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4295]) ).
thf(4553,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) ) )
= $true )
| ( ( ~ ! [SY1096: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1096 )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1096 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1096 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4296]) ).
thf(4554,plain,
! [SV446: $i,SV179: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV446 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SV446 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV446 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4297]) ).
thf(4555,plain,
! [SV447: $i,SV181: $i,SV608: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV608 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SV608 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4298]) ).
thf(4556,plain,
! [SV448: $i,SV183: $i] :
( ( ( SV183 != SV448 )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV448 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV448 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4299]) ).
thf(4557,plain,
! [SV184: $i,SV449: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV449 ) ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SV449 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV449 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4300]) ).
thf(4558,plain,
! [SV185: $i,SV450: $i,SV609: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
| ! [SY1146: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1146 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1146 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SY1146 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SY1146 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4301]) ).
thf(4559,plain,
! [SV451: $i,SV186: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) ) )
= $true )
| ( ( ~ ( ( SV186 != SV451 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4302]) ).
thf(4560,plain,
! [SV452: $i,SV187: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4303]) ).
thf(4561,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4304]) ).
thf(4562,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
| ~ ( ( SV610 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4305]) ).
thf(4563,plain,
! [SV455: $i,SV190: $i,SV611: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV611 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV611 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4306]) ).
thf(4564,plain,
! [SV457: $i,SV192: $i,SV612: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV612 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SV612 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV612 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4308]) ).
thf(4565,plain,
! [SV193: $i,SV458: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV458 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV458 @ SV458 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SV458 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV458 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4309]) ).
thf(4566,plain,
! [SV459: $i,SV194: $i,SV613: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV613 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV613 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SV613 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SV613 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4310]) ).
thf(4567,plain,
! [SV460: $i,SV195: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SV460 ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV460 @ SV195 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV460 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4311]) ).
thf(4568,plain,
! [SV196: $i,SV461: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV461 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV461 @ SV461 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV461 @ SV196 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV461 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4312]) ).
thf(4569,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4313]) ).
thf(4570,plain,
! [SV463: $i,SV199: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SV463 ) ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV463 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV463 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4314]) ).
thf(4571,plain,
! [SV464: $i,SV200: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4315]) ).
thf(4572,plain,
! [SV465: $i,SV202: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SV465 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SV465 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV465 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4316]) ).
thf(4573,plain,
! [SV467: $i,SV206: $i] :
( ( ( ~ ~ ( ( SV206 != SV467 ) ) )
= $true )
| ( ( SV206 = SV467 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV467 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4318]) ).
thf(4574,plain,
! [SV468: $i,SV207: $i,SV614: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
| ! [SY1147: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1147 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SY1147 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SY1147 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4319]) ).
thf(4575,plain,
! [SV469: $i,SV208: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SV469 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV469 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV469 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4320]) ).
thf(4576,plain,
! [SV470: $i,SV209: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SV470 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV470 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV470 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4321]) ).
thf(4577,plain,
! [SV210: $i,SV471: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV471 @ SV210 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SV471 )
= SV471 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV471 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4322]) ).
thf(4578,plain,
! [SV472: $i,SV211: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4323]) ).
thf(4579,plain,
! [SV473: $i,SV213: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SV473 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SV473 )
= SV473 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV473 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4324]) ).
thf(4580,plain,
! [SV474: $i,SV214: $i,SV615: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV615 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV474 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4325]) ).
thf(4581,plain,
! [SV475: $i,SV215: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV475 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SV475 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV475 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4326]) ).
thf(4582,plain,
! [SV476: $i,SV216: $i] :
( ( ( ~ ( ~ ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) )
| ( SV216 = SV476 ) )
| ~ ( ( SV216 != SV476 )
| ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4327]) ).
thf(4583,plain,
! [SV477: $i,SV217: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
| ( SV217 = SV477 ) )
| ~ ( ( SV217 != SV477 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4584,plain,
! [SV478: $i,SV218: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SV478 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV478 @ SV218 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV478 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4329]) ).
thf(4585,plain,
! [SV479: $i,SV221: $i,SV616: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 )
| ~ ( ( SV616 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
| ( SV221 = SV479 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4331]) ).
thf(4586,plain,
! [SV222: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4332]) ).
thf(4587,plain,
! [SV222: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4333]) ).
thf(4588,plain,
! [SV223: $i,SV480: $i] :
( ( ( ~ ( ( SV480 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4334]) ).
thf(4589,plain,
! [SV224: $i,SV481: $i,SV617: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
| ! [SY1148: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1148 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1148 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SY1148 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SY1148 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4335]) ).
thf(4590,plain,
! [SV482: $i,SV225: $i,SV618: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV618 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV618 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SV618 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SV618 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SV618 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4336]) ).
thf(4591,plain,
! [SV483: $i,SV226: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV483 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SV483 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV483 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4337]) ).
thf(4592,plain,
! [SV484: $i,SV227: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4338]) ).
thf(4593,plain,
! [SV485: $i,SV228: $i,SV619: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4339]) ).
thf(4594,plain,
! [SV486: $i,SV229: $i,SV620: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV620 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV620 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV229 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4340]) ).
thf(4595,plain,
! [SV487: $i,SV230: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV230 @ SV487 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV487 @ SV230 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV487 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV230 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4341]) ).
thf(4596,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
| ( SV231 = SV488 ) )
| ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4342]) ).
thf(4597,plain,
! [SV489: $i,SV232: $i,SV622: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4343]) ).
thf(4598,plain,
! [SV490: $i,SV233: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4344]) ).
thf(4599,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4345]) ).
thf(4600,plain,
! [SV492: $i,SV235: $i,SV623: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV623 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV623 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SV623 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SV623 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4346]) ).
thf(4601,plain,
! [SV236: $i,SV493: $i,SV624: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV624 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV624 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SV624 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SV624 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4347]) ).
thf(4602,plain,
! [SV494: $i,SV237: $i,SV625: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV625 )
| ( SV237 != SV494 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SV625 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SV625 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4348]) ).
thf(4603,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4349]) ).
thf(4604,plain,
! [SV239: $i,SV496: $i] :
( ( ( ~ ( ( SV496 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SV496 ) @ SV496 )
= SV239 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV496 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4350]) ).
thf(4605,plain,
! [SV303: $i,SV240: $i] :
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false )
| ( ( ~ ! [SY1022: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1022 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1022 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4351]) ).
thf(4606,plain,
! [SV240: $i,SV303: $i] :
( ( ( ~ ! [SY1023: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1023 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1023 @ SV240 ) ) ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4352]) ).
thf(4607,plain,
! [SV497: $i,SV241: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4353]) ).
thf(4608,plain,
! [SV243: $i,SV498: $i,SV626: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV626 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV626 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SV626 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SV626 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4354]) ).
thf(4609,plain,
! [SV499: $i,SV244: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4355]) ).
thf(4610,plain,
! [SV500: $i,SV245: $i,SV627: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4356]) ).
thf(4611,plain,
! [SV501: $i,SV246: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV501 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SV501 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV501 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4357]) ).
thf(4612,plain,
! [SV502: $i,SV247: $i,SV628: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4358]) ).
thf(4613,plain,
! [SV503: $i,SV248: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SV503 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV503 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV503 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4359]) ).
thf(4614,plain,
! [SV504: $i,SV249: $i,SV629: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV629 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV629 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SV629 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SV629 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SV629 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4360]) ).
thf(4615,plain,
! [SV505: $i,SV250: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV505 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV505 @ SV250 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV505 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4361]) ).
thf(4616,plain,
! [SV506: $i,SV251: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4362]) ).
thf(4617,plain,
! [SV252: $i,SV507: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV507 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV507 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV507 @ SV507 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV507 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4363]) ).
thf(4618,plain,
! [SV508: $i,SV253: $i,SV630: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV630 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV630 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SV630 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SV630 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4364]) ).
thf(4619,plain,
! [SV510: $i,SV255: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV510 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV510 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV510 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV510 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4366]) ).
thf(4620,plain,
! [SV511: $i,SV256: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV511 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SV511 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV511 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4367]) ).
thf(4621,plain,
! [SV258: $i,SV513: $i] :
( ( ( ~ ( ( SV513 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SV513 ) @ SV513 )
= SV258 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV513 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4369]) ).
thf(4622,plain,
! [SV514: $i,SV259: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV514 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SV514 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV514 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4370]) ).
thf(4623,plain,
! [SV260: $i,SV515: $i] :
( ( ( ~ ( ( SV515 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SV515 ) @ SV260 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV515 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4371]) ).
thf(4624,plain,
! [SV304: $i,SV261: $i] :
( ( ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) )
= $false )
| ( ( SV261 = SV304 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4372]) ).
thf(4625,plain,
! [SV304: $i,SV261: $i] :
( ( ( SV261 = SV304 )
= $false )
| ( ( p @ ( c_24__prop__19713___24a2 @ SV261 @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4373]) ).
thf(4626,plain,
! [SV516: $i,SV263: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV516 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV516 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV516 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4374]) ).
thf(4627,plain,
! [SV517: $i,SV264: $i] :
( ( ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4375]) ).
thf(4628,plain,
! [SV518: $i,SV267: $i,SV631: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV631 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SV631 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV631 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4376]) ).
thf(4629,plain,
! [SV519: $i,SV268: $i,SV632: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV632 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV519 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4377]) ).
thf(4630,plain,
! [SV270: $i,SV521: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4379]) ).
thf(4631,plain,
! [SV522: $i,SV271: $i,SV633: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV633 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV633 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4380]) ).
thf(4632,plain,
! [SV305: $i,SV272: $i] :
( ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $false )
| ( ( ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4381]) ).
thf(4633,plain,
! [SV305: $i,SV272: $i] :
( ( ( ~ ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) ) )
= $false )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4382]) ).
thf(4634,plain,
! [SV523: $i,SV273: $i,SV634: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV634 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV634 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV523 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4383]) ).
thf(4635,plain,
! [SV524: $i,SV274: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV274 @ SV524 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV524 @ SV274 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV524 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4384]) ).
thf(4636,plain,
! [SV525: $i,SV275: $i,SV635: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV635 )
| ( SV275 != SV525 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SV635 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SV635 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4385]) ).
thf(4637,plain,
! [SV276: $i,SV526: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV526 @ SV276 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SV526 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV526 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4386]) ).
thf(4638,plain,
! [SV528: $i,SV280: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV528 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SV528 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV528 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV528 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4388]) ).
thf(4639,plain,
! [SV529: $i,SV281: $i] :
( ( ( SV281 != SV529 )
= $true )
| ( ( SV529 = SV281 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV529 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4389]) ).
thf(4640,plain,
! [SV530: $i,SV282: $i,SV636: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV636 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV636 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SV636 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SV636 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4390]) ).
thf(4641,plain,
! [SV531: $i,SV283: $i,SV637: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
| ! [SY1149: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1149 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SY1149 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SY1149 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4391]) ).
thf(4642,plain,
! [SV532: $i,SV284: $i,SV638: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV638 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV638 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SV638 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SV638 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4392]) ).
thf(4643,plain,
! [SV533: $i,SV286: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SV533 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV533 @ SV286 ) )
| ( SV286 = SV533 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV533 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4393]) ).
thf(4644,plain,
! [SV534: $i,SV287: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
| ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4394]) ).
thf(4645,plain,
! [SV535: $i,SV288: $i,SV639: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV639 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SV639 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV639 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4395]) ).
thf(4646,plain,
! [SV536: $i,SV289: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV536 @ SV536 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV536 @ SV289 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV536 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4396]) ).
thf(4647,plain,
! [SV538: $i,SV294: $i,SV640: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV640 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SV640 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV640 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4398]) ).
thf(4648,plain,
! [SV539: $i,SV295: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV539 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV539 @ SV539 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV539 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4399]) ).
thf(4649,plain,
! [SV540: $i,SV296: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV540 ) )
= $true )
| ( ( SV296 = SV540 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV540 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4400]) ).
thf(4650,plain,
! [SV541: $i,SV297: $i,SV641: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
| ( SV297 != SV541 )
| ~ ( ( SV541 != SV641 ) )
| ( SV297 != SV641 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4401]) ).
thf(4651,plain,
! [SV298: $i,SV542: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV542 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV542 @ SV542 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SV542 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV542 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4402]) ).
thf(4652,plain,
! [SV543: $i,SV299: $i,SV642: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV642 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ SV543 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4403]) ).
thf(4653,plain,
! [SV544: $i,SV300: $i] :
( ( ( SV300 != SV544 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SV544 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV544 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4404]) ).
thf(4654,plain,
! [SV306: $i,SV1: $i,SV545: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV545 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4405]) ).
thf(4655,plain,
! [SV307: $i,SV2: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV307 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SV307 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV307 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4406]) ).
thf(4656,plain,
! [SV308: $i,SV3: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV3 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV308 ) )
= $false )
| ( ( SV3 = SV308 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV308 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4407]) ).
thf(4657,plain,
! [SV4: $i,SV309: $i,SV546: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 ) )
= $true )
| ( ( ~ ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
| ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4408]) ).
thf(4658,plain,
! [SV310: $i,SV5: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4409]) ).
thf(4659,plain,
! [SV312: $i,SV7: $i,SV547: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV547 ) )
= $true )
| ( ( ( SV7 != SV312 )
| ( SV312 != SV547 )
| ( SV7 = SV547 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4410]) ).
thf(4660,plain,
! [SV313: $i,SV8: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV8 @ SV313 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV8 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV313 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV313 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4411]) ).
thf(4661,plain,
! [SV314: $i,SV9: $i,SV548: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4412]) ).
thf(4662,plain,
! [SV10: $i,SV315: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV315 @ SV10 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SV315 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV315 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4413]) ).
thf(4663,plain,
! [SV316: $i,SV11: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SV316 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV316 @ SV11 ) )
| ( SV11 = SV316 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV316 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4414]) ).
thf(4664,plain,
! [SV318: $i,SV15: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV15 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV15 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV15 @ SV318 ) )
= SV15 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV318 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4415]) ).
thf(4665,plain,
! [SV319: $i,SV16: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ( SV319 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4416]) ).
thf(4666,plain,
! [SV320: $i,SV18: $i,SV549: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4417]) ).
thf(4667,plain,
! [SV321: $i,SV19: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV321 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SV321 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV321 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4418]) ).
thf(4668,plain,
! [SV322: $i,SV20: $i,SV550: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV550 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV322 @ SV550 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV322 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV550 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV322 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4419]) ).
thf(4669,plain,
! [SV323: $i,SV21: $i,SV551: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4420]) ).
thf(4670,plain,
! [SV324: $i,SV22: $i,SV552: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV552 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SV552 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4421]) ).
thf(4671,plain,
! [SV325: $i,SV23: $i,SV553: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV553 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV325 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4422]) ).
thf(4672,plain,
! [SV326: $i,SV24: $i,SV554: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV554 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SV554 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SV554 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4423]) ).
thf(4673,plain,
! [SV25: $i,SV327: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV327 @ SV25 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SV327 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV327 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4424]) ).
thf(4674,plain,
! [SV328: $i,SV26: $i,SV555: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV555 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
| ( SV328 != SV555 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV555 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4425]) ).
thf(4675,plain,
! [SV329: $i,SV27: $i,SV556: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV556 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV556 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SV556 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SV556 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4426]) ).
thf(4676,plain,
! [SV330: $i,SV28: $i,SV557: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV557 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ SV28 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4427]) ).
thf(4677,plain,
! [SV331: $i,SV29: $i,SV558: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV558 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SV558 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SV558 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4428]) ).
thf(4678,plain,
! [SV332: $i,SV30: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV332 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV332 @ SV332 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV332 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4429]) ).
thf(4679,plain,
! [SV31: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK3_SY703 @ SV31 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4430]) ).
thf(4680,plain,
! [SV31: $i] :
( ( ( SV31
!= ( sK3_SY703 @ SV31 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4430]) ).
thf(4681,plain,
! [SV333: $i,SV32: $i,SV559: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV559 ) )
= $true )
| ( ( ( SV32 != SV333 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SV559 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SV559 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4431]) ).
thf(4682,plain,
! [SV334: $i,SV33: $i,SV560: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV560 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SV560 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SV560 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4432]) ).
thf(4683,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4433]) ).
thf(4684,plain,
! [SV37: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4435]) ).
thf(4685,plain,
! [SV37: $i] :
( ( ( SV37 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eabs___24a1 @ SV37 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4436]) ).
thf(4686,plain,
! [SV337: $i,SV38: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( ( SV337 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4437]) ).
thf(4687,plain,
! [SV39: $i,SV338: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV338 @ SV39 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV39 @ SV338 )
= SV39 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV338 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4438]) ).
thf(4688,plain,
! [SV339: $i,SV40: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV40 @ SV339 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV40 ) @ SV339 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV339 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4439]) ).
thf(4689,plain,
! [SV340: $i,SV42: $i,SV562: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV562 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SV340 ) @ SV562 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SV562 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV340 @ SV562 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV340 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4440]) ).
thf(4690,plain,
! [SV341: $i,SV43: $i,SV563: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4441]) ).
thf(4691,plain,
! [SV44: $i,SV342: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4442]) ).
thf(4692,plain,
! [SV343: $i,SV45: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SV343 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV343 @ SV45 ) )
| ( SV45 = SV343 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV343 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4443]) ).
thf(4693,plain,
! [SV344: $i,SV46: $i] :
( ( ( SV46 != SV344 )
= $false )
| ( ( SV344 != SV46 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV344 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4444]) ).
thf(4694,plain,
! [SV345: $i,SV47: $i] :
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV47 @ SV345 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV345 @ SV47 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV345 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4445]) ).
thf(4695,plain,
! [SV346: $i,SV48: $i,SV564: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV564 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV346 @ SV564 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SV346 ) @ SV564 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV346 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4446]) ).
thf(4696,plain,
! [SV347: $i,SV49: $i,SV565: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV565 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV565 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SV565 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SV565 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SV565 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4447]) ).
thf(4697,plain,
! [SV50: $i,SV348: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4448]) ).
thf(4698,plain,
! [SV349: $i,SV51: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV51 @ SV349 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV51 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV349 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV349 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4449]) ).
thf(4699,plain,
! [SV350: $i,SV52: $i] :
( ( ( SV52 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4450]) ).
thf(4700,plain,
! [SV351: $i,SV54: $i,SV566: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 ) )
= $true )
| ( ( ! [SY1138: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1138 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1138 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SY1138 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4451]) ).
thf(4701,plain,
! [SV352: $i,SV56: $i,SV567: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV567 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ SV567 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SV567 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV352 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4452]) ).
thf(4702,plain,
! [SV353: $i,SV57: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4453]) ).
thf(4703,plain,
! [SV354: $i,SV58: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV354 @ SV58 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV354 @ SV354 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV354 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4454]) ).
thf(4704,plain,
! [SV355: $i,SV59: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4455]) ).
thf(4705,plain,
! [SV357: $i,SV61: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SV357 ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SV357 ) )
| ( SV61 = SV357 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV357 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4456]) ).
thf(4706,plain,
! [SV62: $i,SV358: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4457]) ).
thf(4707,plain,
! [SV358: $i,SV62: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4457]) ).
thf(4708,plain,
! [SV359: $i,SV63: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( ~ ( ( SV359 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4458]) ).
thf(4709,plain,
! [SV360: $i,SV64: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SV360 ) )
= $false )
| ( ( SV64 != SV360 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV360 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4459]) ).
thf(4710,plain,
! [SV361: $i,SV65: $i,SV568: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 ) )
= $true )
| ( ( ! [SY1139: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1139 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1139 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SY1139 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4460]) ).
thf(4711,plain,
! [SV362: $i,SV66: $i,SV569: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
| ( SV66 = SV362 ) )
| ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4461]) ).
thf(4712,plain,
! [SV363: $i,SV67: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV67 @ SV363 ) )
= $true )
| ( ( SV67 = SV363 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV363 @ SV67 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV363 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4462]) ).
thf(4713,plain,
! [SV364: $i,SV68: $i,SV570: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4463]) ).
thf(4714,plain,
! [SV365: $i,SV70: $i,SV571: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 ) )
= $true )
| ( ( ! [SY1140: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1140 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SY1140 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SY1140 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4464]) ).
thf(4715,plain,
! [SV366: $i,SV71: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV71 @ SV366 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV71 @ SV366 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV366 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4465]) ).
thf(4716,plain,
! [SV367: $i,SV72: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) )
= $false )
| ( ( ~ ( ( SV72 != SV367 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4466]) ).
thf(4717,plain,
! [SV368: $i,SV73: $i,SV572: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV572 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV368 ) @ SV572 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV572 ) @ SV368 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV368 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4467]) ).
thf(4718,plain,
! [SV369: $i,SV75: $i,SV573: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4468]) ).
thf(4719,plain,
! [SV370: $i,SV76: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SV370 ) ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV370 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV370 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4469]) ).
thf(4720,plain,
! [SV371: $i,SV77: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SV371 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SV371 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV371 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4470]) ).
thf(4721,plain,
! [SV372: $i,SV78: $i] :
( ( ( SV78 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4471]) ).
thf(4722,plain,
! [SV373: $i,SV79: $i] :
( ( ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4472]) ).
thf(4723,plain,
! [SV79: $i,SV373: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4472]) ).
thf(4724,plain,
! [SV80: $i,SV374: $i] :
( ( ( SV374 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4473]) ).
thf(4725,plain,
! [SV81: $i,SV375: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV375 @ SV81 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SV375 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV375 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4474]) ).
thf(4726,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 ) )
= $true )
| ( ( ~ ( ( SV574 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
| ( SV82 = SV376 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4475]) ).
thf(4727,plain,
! [SV83: $i,SV377: $i] :
( ( ( SV377 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SV377 ) @ SV377 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV377 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4476]) ).
thf(4728,plain,
! [SV378: $i,SV84: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4477]) ).
thf(4729,plain,
! [SV378: $i,SV84: $i] :
( ( ( ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4477]) ).
thf(4730,plain,
! [SV379: $i,SV86: $i,SV575: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV575 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SV575 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SV575 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SV575 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4478]) ).
thf(4731,plain,
! [SV380: $i,SV88: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV380 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SV380 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV380 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4482]) ).
thf(4732,plain,
! [SV381: $i,SV89: $i,SV576: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV576 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SV576 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SV576 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4483]) ).
thf(4733,plain,
! [SV382: $i,SV90: $i,SV577: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV577 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
| ( SV382 != SV577 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV577 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4484]) ).
thf(4734,plain,
! [SV91: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4485]) ).
thf(4735,plain,
! [SV91: $i] :
( ( ( SV91 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2esgn___24a1 @ SV91 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4486]) ).
thf(4736,plain,
! [SV383: $i,SV93: $i] :
( ( ( ! [SY1060: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1060 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1060 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ SY1060 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ SY1060 ) ) ) )
= $false )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4487]) ).
thf(4737,plain,
! [SV384: $i,SV94: $i,SV578: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4488]) ).
thf(4738,plain,
! [SV385: $i,SV96: $i] :
( ( ( SV96 = SV385 )
= $false )
| ( ( SV385 = SV96 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV385 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4489]) ).
thf(4739,plain,
! [SV386: $i,SV97: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV386 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SV386 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV386 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4490]) ).
thf(4740,plain,
! [SV387: $i,SV99: $i,SV579: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4491]) ).
thf(4741,plain,
! [SV388: $i,SV101: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SV388 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV388 @ SV388 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV388 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4494]) ).
thf(4742,plain,
! [SV389: $i,SV102: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
| ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4495]) ).
thf(4743,plain,
! [SV390: $i,SV103: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV103 @ SV390 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV103 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2elog2__up___24a1 @ SV390 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV390 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4496]) ).
thf(4744,plain,
! [SV391: $i,SV104: $i,SV580: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV580 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV580 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4497]) ).
thf(4745,plain,
! [SV392: $i,SV105: $i,SV581: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4498]) ).
thf(4746,plain,
! [SV107: $i,SV393: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV393 @ SV393 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ SV107 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV393 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4499]) ).
thf(4747,plain,
! [SV394: $i,SV108: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
| ( SV108 = SV394 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4500]) ).
thf(4748,plain,
! [SV395: $i,SV109: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4501]) ).
thf(4749,plain,
! [SV396: $i,SV110: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4502]) ).
thf(4750,plain,
! [SV397: $i,SV111: $i,SV582: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV582 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV582 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SV582 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SV582 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4503]) ).
thf(4751,plain,
! [SV398: $i,SV112: $i,SV583: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV583 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV583 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV398 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4504]) ).
thf(4752,plain,
! [SV399: $i,SV113: $i,SV584: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV584 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SV584 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV584 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4505]) ).
thf(4753,plain,
! [SV400: $i,SV114: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV114 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV114 @ SV400 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV400 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4506]) ).
thf(4754,plain,
! [SV401: $i,SV115: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ( SV401 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4507]) ).
thf(4755,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4508]) ).
thf(4756,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4508]) ).
thf(4757,plain,
! [SV404: $i,SV118: $i,SV585: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV585 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
| ( SV404 != SV585 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV585 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4509]) ).
thf(4758,plain,
! [SV405: $i,SV120: $i,SV586: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV586 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV586 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SV586 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SV586 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4510]) ).
thf(4759,plain,
! [SV406: $i,SV121: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV406 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SV406 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV406 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4511]) ).
thf(4760,plain,
! [SV122: $i,SV407: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4512]) ).
thf(4761,plain,
! [SV407: $i,SV122: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4512]) ).
thf(4762,plain,
! [SV408: $i,SV123: $i,SV587: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV587 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV587 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SV587 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SV587 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4513]) ).
thf(4763,plain,
! [SV409: $i,SV125: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4514]) ).
thf(4764,plain,
! [SV409: $i,SV125: $i] :
( ( ( ~ ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4514]) ).
thf(4765,plain,
! [SV410: $i,SV127: $i] :
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SV410 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV410 @ SV410 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV410 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4515]) ).
thf(4766,plain,
! [SV411: $i,SV129: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4516]) ).
thf(4767,plain,
! [SV411: $i,SV129: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4516]) ).
thf(4768,plain,
! [SV412: $i,SV130: $i,SV588: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 ) )
= $true )
| ( ( ! [SY1141: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1141 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SY1141 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SY1141 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4517]) ).
thf(4769,plain,
! [SV413: $i,SV131: $i,SV589: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV589 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SV589 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SV589 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4518]) ).
thf(4770,plain,
! [SV414: $i,SV132: $i,SV590: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 ) )
= $true )
| ( ( ! [SY1142: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1142 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SY1142 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SY1142 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4519]) ).
thf(4771,plain,
! [SV133: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4520]) ).
thf(4772,plain,
! [SV133: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV133 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV133 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4521]) ).
thf(4773,plain,
! [SV134: $i,SV415: $i,SV591: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 ) )
= $true )
| ( ( ~ ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
| ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4522]) ).
thf(4774,plain,
! [SV416: $i,SV135: $i,SV592: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV592 ) )
= $true )
| ( ( ! [SY1143: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1143 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV592 @ SY1143 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV592 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SY1143 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4523]) ).
thf(4775,plain,
! [SV417: $i,SV136: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SV417 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV417 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV417 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4524]) ).
thf(4776,plain,
! [SV418: $i,SV137: $i,SV593: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV593 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV418 @ SV593 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV418 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV593 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV418 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4525]) ).
thf(4777,plain,
! [SV419: $i,SV139: $i,SV594: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV594 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
| ( SV419 != SV594 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV594 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4526]) ).
thf(4778,plain,
! [SV420: $i,SV140: $i,SV595: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV595 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV420 @ SV595 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SV420 ) @ SV595 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV420 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4527]) ).
thf(4779,plain,
! [SV421: $i,SV141: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV421 @ SV141 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV421 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV421 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4528]) ).
thf(4780,plain,
! [SV422: $i,SV142: $i,SV596: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4529]) ).
thf(4781,plain,
! [SV423: $i,SV144: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV423 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4530]) ).
thf(4782,plain,
! [SV424: $i,SV145: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV145 ) @ SV424 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV145 @ SV424 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV424 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4531]) ).
thf(4783,plain,
! [SV425: $i,SV146: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
| ( SV146 = SV425 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4532]) ).
thf(4784,plain,
! [SV426: $i,SV147: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SV426 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV426 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV426 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4533]) ).
thf(4785,plain,
! [SV427: $i,SV148: $i,SV597: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV597 ) )
= $true )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SV597 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4534]) ).
thf(4786,plain,
! [SV428: $i,SV151: $i,SV598: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 ) )
= $true )
| ( ( ! [SY1144: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1144 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SY1144 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SY1144 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4535]) ).
thf(4787,plain,
! [SV429: $i,SV152: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SV429 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV429 @ SV429 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV429 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4536]) ).
thf(4788,plain,
! [SV430: $i,SV154: $i,SV599: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV599 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV599 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4537]) ).
thf(4789,plain,
! [SV432: $i,SV158: $i,SV600: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 ) )
= $true )
| ( ( ~ ( ( SV158 != SV432 ) )
| ( SV432 != SV600 )
| ( SV158 != SV600 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4538]) ).
thf(4790,plain,
! [SV433: $i,SV160: $i,SV601: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV601 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SV433 ) @ SV601 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SV601 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV433 @ SV601 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV433 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4539]) ).
thf(4791,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4540]) ).
thf(4792,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4540]) ).
thf(4793,plain,
! [SV435: $i,SV162: $i,SV602: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV602 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SV602 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV602 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4541]) ).
thf(4794,plain,
! [SV165: $i] :
( ( ( p @ SV165 )
= $false )
| ( ( p @ SV165 )
= $true )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4542]) ).
thf(4795,plain,
! [SV165: $i] :
( ( ( p @ SV165 )
= $true )
| ( ( cCoq_2eLogic_2eDecidable_2edecidable___24a1 @ SV165 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4544]) ).
thf(4796,plain,
! [SV436: $i,SV166: $i,SV603: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV603 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV436 ) @ SV603 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV603 ) @ SV436 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV436 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4545]) ).
thf(4797,plain,
! [SV437: $i,SV167: $i,SV604: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV604 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SV437 ) @ SV604 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SV604 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV437 @ SV604 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV437 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4546]) ).
thf(4798,plain,
! [SV170: $i,SV439: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4547]) ).
thf(4799,plain,
! [SV440: $i,SV171: $i,SV605: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 ) )
= $true )
| ( ( ! [SY1145: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1145 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SY1145 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SY1145 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4548]) ).
thf(4800,plain,
! [SV441: $i,SV172: $i,SV606: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV606 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
| ( SV172 != SV606 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV606 @ SV441 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4549]) ).
thf(4801,plain,
! [SV442: $i,SV174: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SV442 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV442 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV442 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4550]) ).
thf(4802,plain,
! [SV443: $i,SV175: $i,SV607: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV607 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV607 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SV607 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SV607 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SV607 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4551]) ).
thf(4803,plain,
! [SV444: $i,SV176: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV176 @ SV444 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV176 @ SV444 )
= SV176 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV444 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4552]) ).
thf(4804,plain,
! [SV445: $i,SV177: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( ~ ! [SY1096: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1096 )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1096 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1096 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4553]) ).
thf(4805,plain,
! [SV446: $i,SV179: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epred___24a1 @ SV446 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV179 @ SV446 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV446 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4554]) ).
thf(4806,plain,
! [SV447: $i,SV181: $i,SV608: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV608 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SV608 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4555]) ).
thf(4807,plain,
! [SV448: $i,SV183: $i] :
( ( ( SV183 = SV448 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV448 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV448 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4556]) ).
thf(4808,plain,
! [SV184: $i,SV449: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV449 ) )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SV449 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV449 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4557]) ).
thf(4809,plain,
! [SV185: $i,SV450: $i,SV609: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 ) )
= $true )
| ( ( ! [SY1146: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1146 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1146 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SY1146 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SY1146 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4558]) ).
thf(4810,plain,
! [SV451: $i,SV186: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) )
= $false )
| ( ( ~ ( ( SV186 != SV451 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4559]) ).
thf(4811,plain,
! [SV452: $i,SV187: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4560]) ).
thf(4812,plain,
! [SV452: $i,SV187: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4560]) ).
thf(4813,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4561]) ).
thf(4814,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4561]) ).
thf(4815,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 ) )
= $true )
| ( ( ~ ( ( SV610 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4562]) ).
thf(4816,plain,
! [SV455: $i,SV190: $i,SV611: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV611 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV611 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4563]) ).
thf(4817,plain,
! [SV457: $i,SV192: $i,SV612: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV612 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SV612 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV612 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4564]) ).
thf(4818,plain,
! [SV193: $i,SV458: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV458 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV458 @ SV458 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SV458 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV458 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4565]) ).
thf(4819,plain,
! [SV459: $i,SV194: $i,SV613: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV613 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV613 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SV613 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SV613 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4566]) ).
thf(4820,plain,
! [SV460: $i,SV195: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV195 @ SV460 ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV460 @ SV195 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV460 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4567]) ).
thf(4821,plain,
! [SV196: $i,SV461: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV461 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV461 @ SV461 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV461 @ SV196 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV461 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4568]) ).
thf(4822,plain,
! [SV462: $i,SV198: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4569]) ).
thf(4823,plain,
! [SV463: $i,SV199: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SV463 ) ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV463 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV463 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4570]) ).
thf(4824,plain,
! [SV464: $i,SV200: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4571]) ).
thf(4825,plain,
! [SV464: $i,SV200: $i] :
( ( ( ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4571]) ).
thf(4826,plain,
! [SV465: $i,SV202: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SV465 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SV465 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV465 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4572]) ).
thf(4827,plain,
! [SV467: $i,SV206: $i] :
( ( ( ~ ( ( SV206 != SV467 ) ) )
= $false )
| ( ( SV206 = SV467 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV467 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4573]) ).
thf(4828,plain,
! [SV468: $i,SV207: $i,SV614: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 ) )
= $true )
| ( ( ! [SY1147: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1147 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SY1147 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SY1147 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4574]) ).
thf(4829,plain,
! [SV469: $i,SV208: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ SV469 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV208 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV469 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV469 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV208 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4575]) ).
thf(4830,plain,
! [SV470: $i,SV209: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SV470 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV470 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV470 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4576]) ).
thf(4831,plain,
! [SV210: $i,SV471: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV471 @ SV210 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV210 @ SV471 )
= SV471 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV471 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV210 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4577]) ).
thf(4832,plain,
! [SV472: $i,SV211: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4578]) ).
thf(4833,plain,
! [SV473: $i,SV213: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV213 @ SV473 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV213 @ SV473 )
= SV473 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV473 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV213 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4579]) ).
thf(4834,plain,
! [SV474: $i,SV214: $i,SV615: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV615 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV474 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4580]) ).
thf(4835,plain,
! [SV475: $i,SV215: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV475 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SV475 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV475 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4581]) ).
thf(4836,plain,
! [SV476: $i,SV216: $i] :
( ( ( ~ ( ~ ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) )
| ( SV216 = SV476 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4582]) ).
thf(4837,plain,
! [SV476: $i,SV216: $i] :
( ( ( ~ ( ( SV216 != SV476 )
| ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4582]) ).
thf(4838,plain,
! [SV477: $i,SV217: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
| ( SV217 = SV477 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4583]) ).
thf(4839,plain,
! [SV477: $i,SV217: $i] :
( ( ( ~ ( ( SV217 != SV477 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4583]) ).
thf(4840,plain,
! [SV478: $i,SV218: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV218 @ SV478 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV478 @ SV218 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV478 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV218 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4584]) ).
thf(4841,plain,
! [SV479: $i,SV221: $i,SV616: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 ) )
= $true )
| ( ( ~ ( ( SV616 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
| ( SV221 = SV479 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4585]) ).
thf(4842,plain,
! [SV222: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4586]) ).
thf(4843,plain,
! [SV222: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV222 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV222 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4587]) ).
thf(4844,plain,
! [SV223: $i,SV480: $i] :
( ( ( SV480 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4588]) ).
thf(4845,plain,
! [SV224: $i,SV481: $i,SV617: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 ) )
= $true )
| ( ( ! [SY1148: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1148 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1148 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SY1148 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SY1148 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4589]) ).
thf(4846,plain,
! [SV482: $i,SV225: $i,SV618: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV618 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV618 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SV618 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SV618 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SV618 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4590]) ).
thf(4847,plain,
! [SV483: $i,SV226: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV483 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SV483 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV483 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4591]) ).
thf(4848,plain,
! [SV484: $i,SV227: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4592]) ).
thf(4849,plain,
! [SV227: $i,SV484: $i] :
( ( ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4592]) ).
thf(4850,plain,
! [SV485: $i,SV228: $i,SV619: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4593]) ).
thf(4851,plain,
! [SV486: $i,SV229: $i,SV620: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV620 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV620 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV229 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4594]) ).
thf(4852,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
| ( SV231 = SV488 ) )
| ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4596]) ).
thf(4853,plain,
! [SV489: $i,SV232: $i,SV622: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4597]) ).
thf(4854,plain,
! [SV490: $i,SV233: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4598]) ).
thf(4855,plain,
! [SV233: $i,SV490: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4598]) ).
thf(4856,plain,
! [SV491: $i,SV234: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4599]) ).
thf(4857,plain,
! [SV492: $i,SV235: $i,SV623: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV623 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV623 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SV623 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SV623 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4600]) ).
thf(4858,plain,
! [SV236: $i,SV493: $i,SV624: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV624 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV624 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SV624 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SV624 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4601]) ).
thf(4859,plain,
! [SV494: $i,SV237: $i,SV625: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV625 ) )
= $true )
| ( ( ( SV237 != SV494 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SV625 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SV625 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4602]) ).
thf(4860,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4603]) ).
thf(4861,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4603]) ).
thf(4862,plain,
! [SV239: $i,SV496: $i] :
( ( ( SV496 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SV496 ) @ SV496 )
= SV239 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV496 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4604]) ).
thf(4863,plain,
! [SV240: $i,SV303: $i] :
( ( ( ! [SY1022: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1022 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1022 @ SV240 ) ) ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4605]) ).
thf(4864,plain,
! [SV240: $i,SV303: $i] :
( ( ( ! [SY1023: $i] :
~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1023 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SY1023 @ SV240 ) ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4606]) ).
thf(4865,plain,
! [SV497: $i,SV241: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4607]) ).
thf(4866,plain,
! [SV497: $i,SV241: $i] :
( ( ( ~ ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4607]) ).
thf(4867,plain,
! [SV243: $i,SV498: $i,SV626: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV626 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV626 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SV626 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SV626 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4608]) ).
thf(4868,plain,
! [SV499: $i,SV244: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4609]) ).
thf(4869,plain,
! [SV500: $i,SV245: $i,SV627: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4610]) ).
thf(4870,plain,
! [SV501: $i,SV246: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV501 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SV501 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV501 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4611]) ).
thf(4871,plain,
! [SV502: $i,SV247: $i,SV628: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4612]) ).
thf(4872,plain,
! [SV503: $i,SV248: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV248 @ SV503 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV248 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elog2___24a1 @ SV503 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV503 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4613]) ).
thf(4873,plain,
! [SV504: $i,SV249: $i,SV629: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV629 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV629 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SV629 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SV629 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SV629 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4614]) ).
thf(4874,plain,
! [SV505: $i,SV250: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV505 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV505 @ SV250 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV505 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4615]) ).
thf(4875,plain,
! [SV506: $i,SV251: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4616]) ).
thf(4876,plain,
! [SV252: $i,SV507: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV507 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV507 @ SV252 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV507 @ SV507 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV507 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4617]) ).
thf(4877,plain,
! [SV508: $i,SV253: $i,SV630: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV630 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV630 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SV630 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SV630 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4618]) ).
thf(4878,plain,
! [SV510: $i,SV255: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV510 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV510 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV510 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV510 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4619]) ).
thf(4879,plain,
! [SV511: $i,SV256: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV511 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SV511 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV511 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4620]) ).
thf(4880,plain,
! [SV258: $i,SV513: $i] :
( ( ( SV513 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SV513 ) @ SV513 )
= SV258 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV513 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4621]) ).
thf(4881,plain,
! [SV514: $i,SV259: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV514 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SV514 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV514 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4622]) ).
thf(4882,plain,
! [SV260: $i,SV515: $i] :
( ( ( SV515 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SV515 ) @ SV260 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV515 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4623]) ).
thf(4883,plain,
! [SV516: $i,SV263: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV516 @ SV263 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV516 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV516 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4626]) ).
thf(4884,plain,
! [SV517: $i,SV264: $i] :
( ( ( ~ ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4627]) ).
thf(4885,plain,
! [SV264: $i,SV517: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4627]) ).
thf(4886,plain,
! [SV518: $i,SV267: $i,SV631: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV631 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SV631 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV631 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4628]) ).
thf(4887,plain,
! [SV519: $i,SV268: $i,SV632: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV632 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV519 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4629]) ).
thf(4888,plain,
! [SV270: $i,SV521: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4630]) ).
thf(4889,plain,
! [SV522: $i,SV271: $i,SV633: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV633 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV633 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4631]) ).
thf(4890,plain,
! [SV305: $i,SV272: $i] :
( ( ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) )
= $false )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4632]) ).
thf(4891,plain,
! [SV305: $i,SV272: $i] :
( ( ( ~ ( p @ SV272 )
| ~ ( p @ SV305 ) )
= $true )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4633]) ).
thf(4892,plain,
! [SV523: $i,SV273: $i,SV634: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV634 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV634 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV523 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4634]) ).
thf(4893,plain,
! [SV525: $i,SV275: $i,SV635: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV635 ) )
= $true )
| ( ( ( SV275 != SV525 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SV635 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SV635 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4636]) ).
thf(4894,plain,
! [SV276: $i,SV526: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV526 @ SV276 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV276 @ SV526 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV526 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4637]) ).
thf(4895,plain,
! [SV528: $i,SV280: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV528 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SV528 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV528 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV528 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4638]) ).
thf(4896,plain,
! [SV529: $i,SV281: $i] :
( ( ( SV281 = SV529 )
= $false )
| ( ( SV529 = SV281 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV529 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4639]) ).
thf(4897,plain,
! [SV530: $i,SV282: $i,SV636: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV636 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV636 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SV636 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SV636 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4640]) ).
thf(4898,plain,
! [SV531: $i,SV283: $i,SV637: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 ) )
= $true )
| ( ( ! [SY1149: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1149 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SY1149 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SY1149 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4641]) ).
thf(4899,plain,
! [SV532: $i,SV284: $i,SV638: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV638 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV638 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SV638 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SV638 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4642]) ).
thf(4900,plain,
! [SV533: $i,SV286: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SV533 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV533 @ SV286 ) )
| ( SV286 = SV533 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV533 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4643]) ).
thf(4901,plain,
! [SV534: $i,SV287: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4644]) ).
thf(4902,plain,
! [SV287: $i,SV534: $i] :
( ( ( ~ ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4644]) ).
thf(4903,plain,
! [SV535: $i,SV288: $i,SV639: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV639 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SV639 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV639 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4645]) ).
thf(4904,plain,
! [SV536: $i,SV289: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV536 @ SV536 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV536 @ SV289 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV536 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4646]) ).
thf(4905,plain,
! [SV538: $i,SV294: $i,SV640: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV640 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SV640 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV640 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4647]) ).
thf(4906,plain,
! [SV539: $i,SV295: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV539 @ SV295 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV539 @ SV539 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV539 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4648]) ).
thf(4907,plain,
! [SV540: $i,SV296: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV296 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV540 ) )
= $false )
| ( ( SV296 = SV540 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV540 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV296 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4649]) ).
thf(4908,plain,
! [SV541: $i,SV297: $i,SV641: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 ) )
= $true )
| ( ( ( SV297 != SV541 )
| ~ ( ( SV541 != SV641 ) )
| ( SV297 != SV641 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4650]) ).
thf(4909,plain,
! [SV298: $i,SV542: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV542 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV542 @ SV542 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SV542 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV542 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4651]) ).
thf(4910,plain,
! [SV543: $i,SV299: $i,SV642: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV642 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ SV543 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4652]) ).
thf(4911,plain,
! [SV544: $i,SV300: $i] :
( ( ( SV300 = SV544 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV300 @ SV544 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV544 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV300 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4653]) ).
thf(4912,plain,
! [SV306: $i,SV1: $i,SV545: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV545 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV1 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4654]) ).
thf(4913,plain,
! [SV2: $i,SV307: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV307 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SV307 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV307 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4655]) ).
thf(4914,plain,
! [SV4: $i,SV309: $i,SV546: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 )
= $false )
| ( ( ~ ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
| ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4657]) ).
thf(4915,plain,
! [SV310: $i,SV5: $i] :
( ( ( ~ ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4658]) ).
thf(4916,plain,
! [SV312: $i,SV7: $i,SV547: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV547 )
= $false )
| ( ( ( SV7 != SV312 )
| ( SV312 != SV547 )
| ( SV7 = SV547 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4659]) ).
thf(4917,plain,
! [SV314: $i,SV9: $i,SV548: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4661]) ).
thf(4918,plain,
! [SV10: $i,SV315: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV315 @ SV10 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV10 @ SV315 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV315 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4662]) ).
thf(4919,plain,
! [SV11: $i,SV316: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV316 @ SV11 ) ) )
= $true )
| ( ( SV11 = SV316 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SV316 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV316 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4663]) ).
thf(4920,plain,
! [SV16: $i,SV319: $i] :
( ( ( ~ ( ( SV319 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4665]) ).
thf(4921,plain,
! [SV320: $i,SV18: $i,SV549: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4666]) ).
thf(4922,plain,
! [SV19: $i,SV321: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV321 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SV321 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV321 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4667]) ).
thf(4923,plain,
! [SV322: $i,SV20: $i,SV550: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV550 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV322 @ SV550 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV322 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV20 @ SV550 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV322 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4668]) ).
thf(4924,plain,
! [SV323: $i,SV21: $i,SV551: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4669]) ).
thf(4925,plain,
! [SV324: $i,SV22: $i,SV552: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV552 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SV552 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4670]) ).
thf(4926,plain,
! [SV325: $i,SV23: $i,SV553: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV553 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV325 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4671]) ).
thf(4927,plain,
! [SV326: $i,SV24: $i,SV554: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV554 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SV554 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SV554 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4672]) ).
thf(4928,plain,
! [SV25: $i,SV327: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV327 @ SV25 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV25 @ SV327 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV327 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4673]) ).
thf(4929,plain,
! [SV328: $i,SV26: $i,SV555: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV555 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
| ( SV328 != SV555 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV555 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4674]) ).
thf(4930,plain,
! [SV329: $i,SV27: $i,SV556: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV556 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV556 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SV556 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SV556 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4675]) ).
thf(4931,plain,
! [SV330: $i,SV28: $i,SV557: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV557 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ SV28 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4676]) ).
thf(4932,plain,
! [SV331: $i,SV29: $i,SV558: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV558 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SV558 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SV558 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4677]) ).
thf(4933,plain,
! [SV30: $i,SV332: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV332 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV332 @ SV332 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV332 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4678]) ).
thf(4934,plain,
! [SV31: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK3_SY703 @ SV31 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4679]) ).
thf(4935,plain,
! [SV31: $i] :
( ( ( SV31
= ( sK3_SY703 @ SV31 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4680]) ).
thf(4936,plain,
! [SV333: $i,SV32: $i,SV559: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV559 )
= $false )
| ( ( ( SV32 != SV333 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SV559 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SV559 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4681]) ).
thf(4937,plain,
! [SV334: $i,SV33: $i,SV560: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV560 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SV560 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SV560 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4682]) ).
thf(4938,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4683]) ).
thf(4939,plain,
! [SV38: $i,SV337: $i] :
( ( ( ~ ( ( SV337 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4686]) ).
thf(4940,plain,
! [SV340: $i,SV42: $i,SV562: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV562 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV42 @ SV340 ) @ SV562 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV42 @ SV562 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV340 @ SV562 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV340 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4689]) ).
thf(4941,plain,
! [SV341: $i,SV43: $i,SV563: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4690]) ).
thf(4942,plain,
! [SV342: $i,SV44: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4691]) ).
thf(4943,plain,
! [SV45: $i,SV343: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV343 @ SV45 ) ) )
= $true )
| ( ( SV45 = SV343 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SV343 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV343 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4692]) ).
thf(4944,plain,
! [SV344: $i,SV46: $i] :
( ( ( SV46 = SV344 )
= $true )
| ( ( SV344 != SV46 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV344 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4693]) ).
thf(4945,plain,
! [SV346: $i,SV48: $i,SV564: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV564 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV346 @ SV564 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV48 @ SV346 ) @ SV564 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV346 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4695]) ).
thf(4946,plain,
! [SV347: $i,SV49: $i,SV565: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV565 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV565 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SV565 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SV565 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SV565 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4696]) ).
thf(4947,plain,
! [SV348: $i,SV50: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4697]) ).
thf(4948,plain,
! [SV350: $i,SV52: $i] :
( ( ( SV52 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4699]) ).
thf(4949,plain,
! [SV351: $i,SV54: $i,SV566: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( ! [SY1138: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1138 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1138 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SY1138 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4700]) ).
thf(4950,plain,
! [SV352: $i,SV56: $i,SV567: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV567 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ SV567 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV352 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV56 @ SV567 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV352 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4701]) ).
thf(4951,plain,
! [SV353: $i,SV57: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4702]) ).
thf(4952,plain,
! [SV58: $i,SV354: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV354 @ SV58 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV354 @ SV354 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV354 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4703]) ).
thf(4953,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4704]) ).
thf(4954,plain,
! [SV357: $i,SV61: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV61 @ SV357 ) )
= $true )
| ( ( SV61 = SV357 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV61 @ SV357 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV357 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4705]) ).
thf(4955,plain,
! [SV62: $i,SV358: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4706]) ).
thf(4956,plain,
! [SV358: $i,SV62: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4707]) ).
thf(4957,plain,
! [SV63: $i,SV359: $i] :
( ( ( ~ ( ( SV359 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4708]) ).
thf(4958,plain,
! [SV360: $i,SV64: $i] :
( ( ( SV64 = SV360 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV64 @ SV360 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV360 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4709]) ).
thf(4959,plain,
! [SV361: $i,SV65: $i,SV568: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( ! [SY1139: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1139 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SY1139 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SY1139 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4710]) ).
thf(4960,plain,
! [SV362: $i,SV66: $i,SV569: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
| ( SV66 = SV362 ) )
| ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4711]) ).
thf(4961,plain,
! [SV364: $i,SV68: $i,SV570: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4713]) ).
thf(4962,plain,
! [SV365: $i,SV70: $i,SV571: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
= $false )
| ( ( ! [SY1140: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1140 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SY1140 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SY1140 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4714]) ).
thf(4963,plain,
! [SV367: $i,SV72: $i] :
( ( ( ~ ( ( SV72 != SV367 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4716]) ).
thf(4964,plain,
! [SV368: $i,SV73: $i,SV572: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV572 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV368 ) @ SV572 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV73 @ SV572 ) @ SV368 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV368 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4717]) ).
thf(4965,plain,
! [SV369: $i,SV75: $i,SV573: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4718]) ).
thf(4966,plain,
! [SV370: $i,SV76: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV76 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV370 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV76 @ SV370 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV370 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4719]) ).
thf(4967,plain,
! [SV371: $i,SV77: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV77 @ SV371 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV77 @ SV371 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV371 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4720]) ).
thf(4968,plain,
! [SV372: $i,SV78: $i] :
( ( ( SV78 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4721]) ).
thf(4969,plain,
! [SV373: $i,SV79: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4722]) ).
thf(4970,plain,
! [SV79: $i,SV373: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4723]) ).
thf(4971,plain,
! [SV80: $i,SV374: $i] :
( ( ( SV374 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4724]) ).
thf(4972,plain,
! [SV81: $i,SV375: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV375 @ SV81 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV81 @ SV375 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV375 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4725]) ).
thf(4973,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 )
= $false )
| ( ( ~ ( ( SV574 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
| ( SV82 = SV376 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4726]) ).
thf(4974,plain,
! [SV83: $i,SV377: $i] :
( ( ( SV377 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emodulo___24a2 @ SV83 @ SV377 ) @ SV377 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV377 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4727]) ).
thf(4975,plain,
! [SV378: $i,SV84: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4728]) ).
thf(4976,plain,
! [SV378: $i,SV84: $i] :
( ( ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4729]) ).
thf(4977,plain,
! [SV379: $i,SV86: $i,SV575: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV575 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SV575 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SV575 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SV575 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4730]) ).
thf(4978,plain,
! [SV88: $i,SV380: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV380 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SV380 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV380 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4731]) ).
thf(4979,plain,
! [SV381: $i,SV89: $i,SV576: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV576 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SV576 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SV576 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4732]) ).
thf(4980,plain,
! [SV382: $i,SV90: $i,SV577: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV577 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
| ( SV382 != SV577 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV577 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4733]) ).
thf(4981,plain,
! [SV93: $i,SV383: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK4_SY1060 @ SV383 @ SV93 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK4_SY1060 @ SV383 @ SV93 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ ( sK4_SY1060 @ SV383 @ SV93 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ ( sK4_SY1060 @ SV383 @ SV93 ) ) ) )
= $false )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4736]) ).
thf(4982,plain,
! [SV384: $i,SV94: $i,SV578: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4737]) ).
thf(4983,plain,
! [SV97: $i,SV386: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV386 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SV386 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV386 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4739]) ).
thf(4984,plain,
! [SV387: $i,SV99: $i,SV579: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4740]) ).
thf(4985,plain,
! [SV388: $i,SV101: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SV388 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV388 @ SV388 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV388 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4741]) ).
thf(4986,plain,
! [SV102: $i,SV389: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) ) )
= $true )
| ( ( ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4742]) ).
thf(4987,plain,
! [SV391: $i,SV104: $i,SV580: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV580 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV580 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4744]) ).
thf(4988,plain,
! [SV392: $i,SV105: $i,SV581: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4745]) ).
thf(4989,plain,
! [SV393: $i,SV107: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV393 @ SV393 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ SV107 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV393 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4746]) ).
thf(4990,plain,
! [SV108: $i,SV394: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
| ( SV108 = SV394 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4747]) ).
thf(4991,plain,
! [SV109: $i,SV395: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4748]) ).
thf(4992,plain,
! [SV110: $i,SV396: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) ) )
= $true )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4749]) ).
thf(4993,plain,
! [SV397: $i,SV111: $i,SV582: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV582 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV582 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SV582 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SV582 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4750]) ).
thf(4994,plain,
! [SV398: $i,SV112: $i,SV583: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV583 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV583 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV398 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4751]) ).
thf(4995,plain,
! [SV399: $i,SV113: $i,SV584: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV584 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SV584 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV584 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4752]) ).
thf(4996,plain,
! [SV115: $i,SV401: $i] :
( ( ( ~ ( ( SV401 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4754]) ).
thf(4997,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4755]) ).
thf(4998,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4756]) ).
thf(4999,plain,
! [SV404: $i,SV118: $i,SV585: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV585 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
| ( SV404 != SV585 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV585 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4757]) ).
thf(5000,plain,
! [SV405: $i,SV120: $i,SV586: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV586 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV586 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SV586 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SV586 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4758]) ).
thf(5001,plain,
! [SV121: $i,SV406: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV406 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SV406 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV406 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4759]) ).
thf(5002,plain,
! [SV122: $i,SV407: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4760]) ).
thf(5003,plain,
! [SV407: $i,SV122: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4761]) ).
thf(5004,plain,
! [SV408: $i,SV123: $i,SV587: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV587 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV587 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SV587 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SV587 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4762]) ).
thf(5005,plain,
! [SV409: $i,SV125: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4763]) ).
thf(5006,plain,
! [SV409: $i,SV125: $i] :
( ( ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4764]) ).
thf(5007,plain,
! [SV410: $i,SV127: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SV410 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV410 @ SV410 ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV410 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4765]) ).
thf(5008,plain,
! [SV411: $i,SV129: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4766]) ).
thf(5009,plain,
! [SV411: $i,SV129: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4767]) ).
thf(5010,plain,
! [SV412: $i,SV130: $i,SV588: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( ! [SY1141: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1141 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SY1141 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SY1141 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4768]) ).
thf(5011,plain,
! [SV413: $i,SV131: $i,SV589: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV589 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SV589 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SV589 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4769]) ).
thf(5012,plain,
! [SV414: $i,SV132: $i,SV590: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( ! [SY1142: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1142 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SY1142 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SY1142 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4770]) ).
thf(5013,plain,
! [SV134: $i,SV415: $i,SV591: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 )
= $false )
| ( ( ~ ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
| ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4773]) ).
thf(5014,plain,
! [SV416: $i,SV135: $i,SV592: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV592 )
= $false )
| ( ( ! [SY1143: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1143 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV592 @ SY1143 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV592 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SY1143 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4774]) ).
thf(5015,plain,
! [SV417: $i,SV136: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV136 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV417 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV136 @ SV417 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV417 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4775]) ).
thf(5016,plain,
! [SV418: $i,SV137: $i,SV593: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV593 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV418 @ SV593 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV418 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV137 @ SV593 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV418 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4776]) ).
thf(5017,plain,
! [SV419: $i,SV139: $i,SV594: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV594 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
| ( SV419 != SV594 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV594 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4777]) ).
thf(5018,plain,
! [SV420: $i,SV140: $i,SV595: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV595 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV420 @ SV595 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV140 @ SV420 ) @ SV595 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV420 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4778]) ).
thf(5019,plain,
! [SV141: $i,SV421: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV421 @ SV141 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV421 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV421 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4779]) ).
thf(5020,plain,
! [SV422: $i,SV142: $i,SV596: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4780]) ).
thf(5021,plain,
! [SV423: $i,SV144: $i] :
( ( ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV423 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4781]) ).
thf(5022,plain,
! [SV146: $i,SV425: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
| ( SV146 = SV425 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4783]) ).
thf(5023,plain,
! [SV426: $i,SV147: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV147 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV426 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV147 @ SV426 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV426 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4784]) ).
thf(5024,plain,
! [SV427: $i,SV148: $i,SV597: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV597 )
= $false )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 )
| ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SV597 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4785]) ).
thf(5025,plain,
! [SV428: $i,SV151: $i,SV598: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( ! [SY1144: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1144 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SY1144 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SY1144 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4786]) ).
thf(5026,plain,
! [SV429: $i,SV152: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SV429 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV429 @ SV429 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV429 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4787]) ).
thf(5027,plain,
! [SV430: $i,SV154: $i,SV599: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV599 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV599 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4788]) ).
thf(5028,plain,
! [SV432: $i,SV158: $i,SV600: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
= $false )
| ( ( ~ ( ( SV158 != SV432 ) )
| ( SV432 != SV600 )
| ( SV158 != SV600 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4789]) ).
thf(5029,plain,
! [SV433: $i,SV160: $i,SV601: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV601 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV160 @ SV433 ) @ SV601 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV160 @ SV601 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV433 @ SV601 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV433 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4790]) ).
thf(5030,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4791]) ).
thf(5031,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4792]) ).
thf(5032,plain,
! [SV435: $i,SV162: $i,SV602: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV602 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SV602 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV602 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4793]) ).
thf(5033,plain,
! [SV436: $i,SV166: $i,SV603: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV603 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV436 ) @ SV603 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV166 @ SV603 ) @ SV436 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV436 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4796]) ).
thf(5034,plain,
! [SV437: $i,SV167: $i,SV604: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV604 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV167 @ SV437 ) @ SV604 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV167 @ SV604 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV437 @ SV604 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV437 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4797]) ).
thf(5035,plain,
! [SV439: $i,SV170: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4798]) ).
thf(5036,plain,
! [SV440: $i,SV171: $i,SV605: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( ! [SY1145: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1145 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SY1145 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SY1145 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4799]) ).
thf(5037,plain,
! [SV441: $i,SV172: $i,SV606: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV606 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
| ( SV172 != SV606 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV606 @ SV441 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4800]) ).
thf(5038,plain,
! [SV442: $i,SV174: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SV442 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV442 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV442 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4801]) ).
thf(5039,plain,
! [SV443: $i,SV175: $i,SV607: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV607 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV607 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SV607 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SV607 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SV607 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4802]) ).
thf(5040,plain,
! [SV177: $i,SV445: $i] :
( ( ( ! [SY1096: $i] :
~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1096 )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SY1096 @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1096 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4804]) ).
thf(5041,plain,
! [SV447: $i,SV181: $i,SV608: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV608 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
| ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SV608 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4806]) ).
thf(5042,plain,
! [SV448: $i,SV183: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV448 ) )
= $true )
| ( ( SV183 = SV448 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV448 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4807]) ).
thf(5043,plain,
! [SV449: $i,SV184: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SV449 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV449 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV449 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4808]) ).
thf(5044,plain,
! [SV185: $i,SV450: $i,SV609: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( ! [SY1146: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1146 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1146 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SY1146 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SY1146 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4809]) ).
thf(5045,plain,
! [SV451: $i,SV186: $i] :
( ( ( ~ ( ( SV186 != SV451 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4810]) ).
thf(5046,plain,
! [SV452: $i,SV187: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4811]) ).
thf(5047,plain,
! [SV452: $i,SV187: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4812]) ).
thf(5048,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4813]) ).
thf(5049,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4814]) ).
thf(5050,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( ~ ( ( SV610 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4815]) ).
thf(5051,plain,
! [SV455: $i,SV190: $i,SV611: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV611 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV611 ) )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4816]) ).
thf(5052,plain,
! [SV457: $i,SV192: $i,SV612: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV612 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SV612 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV612 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4817]) ).
thf(5053,plain,
! [SV458: $i,SV193: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV458 @ SV458 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SV458 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV458 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV458 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4818]) ).
thf(5054,plain,
! [SV459: $i,SV194: $i,SV613: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV613 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV613 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SV613 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SV613 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4819]) ).
thf(5055,plain,
! [SV461: $i,SV196: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV461 @ SV461 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV461 @ SV196 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV461 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV461 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4821]) ).
thf(5056,plain,
! [SV198: $i,SV462: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4822]) ).
thf(5057,plain,
! [SV463: $i,SV199: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV199 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV463 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV199 @ SV463 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV463 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4823]) ).
thf(5058,plain,
! [SV464: $i,SV200: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4824]) ).
thf(5059,plain,
! [SV464: $i,SV200: $i] :
( ( ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4825]) ).
thf(5060,plain,
! [SV465: $i,SV202: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV202 @ SV465 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV202 @ SV465 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV465 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV202 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4826]) ).
thf(5061,plain,
! [SV467: $i,SV206: $i] :
( ( ( SV206 != SV467 )
= $true )
| ( ( SV206 = SV467 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV467 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4827]) ).
thf(5062,plain,
! [SV468: $i,SV207: $i,SV614: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( ! [SY1147: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1147 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SY1147 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SY1147 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4828]) ).
thf(5063,plain,
! [SV470: $i,SV209: $i] :
( ( ( SV209 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV470 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV209 @ SV470 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV470 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV209 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4830]) ).
thf(5064,plain,
! [SV211: $i,SV472: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4832]) ).
thf(5065,plain,
! [SV474: $i,SV214: $i,SV615: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV615 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV474 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4834]) ).
thf(5066,plain,
! [SV215: $i,SV475: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV475 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SV475 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV475 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4835]) ).
thf(5067,plain,
! [SV476: $i,SV216: $i] :
( ( ( ~ ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) )
| ( SV216 = SV476 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4836]) ).
thf(5068,plain,
! [SV476: $i,SV216: $i] :
( ( ( ( SV216 != SV476 )
| ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4837]) ).
thf(5069,plain,
! [SV477: $i,SV217: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
| ( SV217 = SV477 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4838]) ).
thf(5070,plain,
! [SV477: $i,SV217: $i] :
( ( ( ( SV217 != SV477 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4839]) ).
thf(5071,plain,
! [SV479: $i,SV221: $i,SV616: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 )
= $false )
| ( ( ~ ( ( SV616 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
| ( SV221 = SV479 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4841]) ).
thf(5072,plain,
! [SV223: $i,SV480: $i] :
( ( ( SV480 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4844]) ).
thf(5073,plain,
! [SV224: $i,SV481: $i,SV617: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( ! [SY1148: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1148 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SY1148 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SY1148 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SY1148 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4845]) ).
thf(5074,plain,
! [SV482: $i,SV225: $i,SV618: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV618 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV618 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SV618 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SV618 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SV618 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4846]) ).
thf(5075,plain,
! [SV226: $i,SV483: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV483 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SV483 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV483 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4847]) ).
thf(5076,plain,
! [SV484: $i,SV227: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4848]) ).
thf(5077,plain,
! [SV227: $i,SV484: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4849]) ).
thf(5078,plain,
! [SV485: $i,SV228: $i,SV619: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4850]) ).
thf(5079,plain,
! [SV486: $i,SV229: $i,SV620: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV620 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV620 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV229 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4851]) ).
thf(5080,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
| ( SV231 = SV488 ) )
| ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4852]) ).
thf(5081,plain,
! [SV489: $i,SV232: $i,SV622: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4853]) ).
thf(5082,plain,
! [SV490: $i,SV233: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4854]) ).
thf(5083,plain,
! [SV233: $i,SV490: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4855]) ).
thf(5084,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4856]) ).
thf(5085,plain,
! [SV492: $i,SV235: $i,SV623: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV623 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV623 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SV623 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SV623 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4857]) ).
thf(5086,plain,
! [SV236: $i,SV493: $i,SV624: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV624 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV624 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SV624 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SV624 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4858]) ).
thf(5087,plain,
! [SV494: $i,SV237: $i,SV625: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV625 )
= $false )
| ( ( ( SV237 != SV494 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SV625 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SV625 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4859]) ).
thf(5088,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4860]) ).
thf(5089,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4861]) ).
thf(5090,plain,
! [SV239: $i,SV496: $i] :
( ( ( SV496 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV239 @ SV496 ) @ SV496 )
= SV239 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV496 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV239 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4862]) ).
thf(5091,plain,
! [SV303: $i,SV240: $i] :
( ( ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK5_SY1022 @ SV240 @ SV303 ) )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( sK5_SY1022 @ SV240 @ SV303 ) @ SV240 ) ) ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4863]) ).
thf(5092,plain,
! [SV240: $i,SV303: $i,SV643: $i] :
( ( ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV643 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV643 @ SV240 ) ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4864]) ).
thf(5093,plain,
! [SV497: $i,SV241: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4865]) ).
thf(5094,plain,
! [SV497: $i,SV241: $i] :
( ( ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4866]) ).
thf(5095,plain,
! [SV243: $i,SV498: $i,SV626: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV626 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV626 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SV626 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SV626 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4867]) ).
thf(5096,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4868]) ).
thf(5097,plain,
! [SV500: $i,SV245: $i,SV627: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4869]) ).
thf(5098,plain,
! [SV246: $i,SV501: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV501 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SV501 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV501 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4870]) ).
thf(5099,plain,
! [SV502: $i,SV247: $i,SV628: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4871]) ).
thf(5100,plain,
! [SV504: $i,SV249: $i,SV629: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV629 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV629 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SV629 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SV629 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SV629 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4873]) ).
thf(5101,plain,
! [SV250: $i,SV505: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV505 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV505 @ SV250 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV505 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4874]) ).
thf(5102,plain,
! [SV506: $i,SV251: $i] :
( ( ( ~ ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4875]) ).
thf(5103,plain,
! [SV252: $i,SV507: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV507 @ SV252 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV507 @ SV507 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV507 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV507 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4876]) ).
thf(5104,plain,
! [SV508: $i,SV253: $i,SV630: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV630 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV630 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SV630 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SV630 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4877]) ).
thf(5105,plain,
! [SV255: $i,SV510: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV510 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV510 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV510 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV510 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4878]) ).
thf(5106,plain,
! [SV256: $i,SV511: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV511 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SV511 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV511 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4879]) ).
thf(5107,plain,
! [SV258: $i,SV513: $i] :
( ( ( SV513 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV258 @ SV513 ) @ SV513 )
= SV258 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV513 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV258 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4880]) ).
thf(5108,plain,
! [SV259: $i,SV514: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV514 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SV514 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV514 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4881]) ).
thf(5109,plain,
! [SV260: $i,SV515: $i] :
( ( ( SV515 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV260 @ SV515 ) @ SV260 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV515 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4882]) ).
thf(5110,plain,
! [SV263: $i,SV516: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV516 @ SV263 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV516 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV516 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4883]) ).
thf(5111,plain,
! [SV517: $i,SV264: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4884]) ).
thf(5112,plain,
! [SV264: $i,SV517: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
| ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4885]) ).
thf(5113,plain,
! [SV518: $i,SV267: $i,SV631: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV631 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SV631 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV631 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4886]) ).
thf(5114,plain,
! [SV519: $i,SV268: $i,SV632: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV632 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV519 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4887]) ).
thf(5115,plain,
! [SV521: $i,SV270: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4888]) ).
thf(5116,plain,
! [SV522: $i,SV271: $i,SV633: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV633 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV633 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4889]) ).
thf(5117,plain,
! [SV305: $i,SV272: $i] :
( ( ( ~ ( p @ SV272 ) )
= $false )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4890]) ).
thf(5118,plain,
! [SV272: $i,SV305: $i] :
( ( ( ~ ( p @ SV305 ) )
= $false )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4890]) ).
thf(5119,plain,
! [SV305: $i,SV272: $i] :
( ( ( ~ ( p @ SV272 ) )
= $true )
| ( ( ~ ( p @ SV305 ) )
= $true )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4891]) ).
thf(5120,plain,
! [SV523: $i,SV273: $i,SV634: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV634 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV634 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV523 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4892]) ).
thf(5121,plain,
! [SV525: $i,SV275: $i,SV635: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV635 )
= $false )
| ( ( ( SV275 != SV525 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SV635 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SV635 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4893]) ).
thf(5122,plain,
! [SV280: $i,SV528: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV528 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SV528 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV528 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV528 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4895]) ).
thf(5123,plain,
! [SV530: $i,SV282: $i,SV636: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV636 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV636 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SV636 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SV636 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4897]) ).
thf(5124,plain,
! [SV531: $i,SV283: $i,SV637: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( ! [SY1149: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1149 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SY1149 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SY1149 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4898]) ).
thf(5125,plain,
! [SV532: $i,SV284: $i,SV638: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV638 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV638 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SV638 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SV638 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4899]) ).
thf(5126,plain,
! [SV286: $i,SV533: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV533 @ SV286 ) ) )
= $true )
| ( ( SV286 = SV533 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SV533 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV533 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4900]) ).
thf(5127,plain,
! [SV534: $i,SV287: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4901]) ).
thf(5128,plain,
! [SV287: $i,SV534: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4902]) ).
thf(5129,plain,
! [SV535: $i,SV288: $i,SV639: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV639 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SV639 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV639 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4903]) ).
thf(5130,plain,
! [SV289: $i,SV536: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV536 @ SV536 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV536 @ SV289 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV536 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4904]) ).
thf(5131,plain,
! [SV538: $i,SV294: $i,SV640: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV640 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SV640 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV640 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4905]) ).
thf(5132,plain,
! [SV295: $i,SV539: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV539 @ SV295 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV539 @ SV539 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV539 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4906]) ).
thf(5133,plain,
! [SV541: $i,SV297: $i,SV641: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
= $false )
| ( ( ( SV297 != SV541 )
| ~ ( ( SV541 != SV641 ) )
| ( SV297 != SV641 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4908]) ).
thf(5134,plain,
! [SV542: $i,SV298: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV542 @ SV542 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SV542 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV542 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV542 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4909]) ).
thf(5135,plain,
! [SV543: $i,SV299: $i,SV642: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV642 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ SV543 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4910]) ).
thf(5136,plain,
! [SV306: $i,SV1: $i,SV545: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV1 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV545 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4912]) ).
thf(5137,plain,
! [SV2: $i,SV307: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV307 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV2 @ SV307 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV2 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV307 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4913]) ).
thf(5138,plain,
! [SV546: $i,SV4: $i,SV309: $i] :
( ( ( ~ ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
| ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4914]) ).
thf(5139,plain,
! [SV310: $i,SV5: $i] :
( ( ( SV5 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4915]) ).
thf(5140,plain,
! [SV547: $i,SV312: $i,SV7: $i] :
( ( ( SV7 != SV312 )
= $true )
| ( ( ( SV312 != SV547 )
| ( SV7 = SV547 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV547 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4916]) ).
thf(5141,plain,
! [SV548: $i,SV314: $i,SV9: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4917]) ).
thf(5142,plain,
! [SV11: $i,SV316: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV316 @ SV11 ) )
= $false )
| ( ( SV11 = SV316 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV11 @ SV316 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV316 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4919]) ).
thf(5143,plain,
! [SV16: $i,SV319: $i] :
( ( ( SV319 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4920]) ).
thf(5144,plain,
! [SV549: $i,SV320: $i,SV18: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4921]) ).
thf(5145,plain,
! [SV19: $i,SV321: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV321 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV19 @ SV321 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV19 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV321 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4922]) ).
thf(5146,plain,
! [SV323: $i,SV21: $i,SV551: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4924]) ).
thf(5147,plain,
! [SV552: $i,SV324: $i,SV22: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SV552 ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SV552 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV552 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4925]) ).
thf(5148,plain,
! [SV325: $i,SV23: $i,SV553: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV325 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV553 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4926]) ).
thf(5149,plain,
! [SV554: $i,SV326: $i,SV24: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SV554 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SV554 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV554 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4927]) ).
thf(5150,plain,
! [SV555: $i,SV328: $i,SV26: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) ) )
= $true )
| ( ( ( SV328 != SV555 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV555 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV555 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4929]) ).
thf(5151,plain,
! [SV329: $i,SV27: $i,SV556: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV556 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SV556 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SV556 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV556 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4930]) ).
thf(5152,plain,
! [SV330: $i,SV28: $i,SV557: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ SV28 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV557 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4931]) ).
thf(5153,plain,
! [SV558: $i,SV331: $i,SV29: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SV558 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SV558 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV558 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4932]) ).
thf(5154,plain,
! [SV30: $i,SV332: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV332 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV30 @ SV30 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV332 @ SV332 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV30 @ SV332 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV30 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV332 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4933]) ).
thf(5155,plain,
! [SV559: $i,SV333: $i,SV32: $i] :
( ( ( SV32 != SV333 )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SV559 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SV559 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV559 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4936]) ).
thf(5156,plain,
! [SV334: $i,SV560: $i,SV33: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SV560 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SV560 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV560 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4937]) ).
thf(5157,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4938]) ).
thf(5158,plain,
! [SV38: $i,SV337: $i] :
( ( ( SV337 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4939]) ).
thf(5159,plain,
! [SV563: $i,SV341: $i,SV43: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4941]) ).
thf(5160,plain,
! [SV342: $i,SV44: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4942]) ).
thf(5161,plain,
! [SV342: $i,SV44: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4942]) ).
thf(5162,plain,
! [SV45: $i,SV343: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV343 @ SV45 ) )
= $false )
| ( ( SV45 = SV343 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV45 @ SV343 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV343 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4943]) ).
thf(5163,plain,
! [SV46: $i,SV344: $i] :
( ( ( SV344 = SV46 )
= $false )
| ( ( SV46 = SV344 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV344 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4944]) ).
thf(5164,plain,
! [SV347: $i,SV49: $i,SV565: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV565 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SV565 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SV565 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SV565 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV565 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4946]) ).
thf(5165,plain,
! [SV348: $i,SV50: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4947]) ).
thf(5166,plain,
! [SV52: $i,SV350: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV52 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4948]) ).
thf(5167,plain,
! [SV566: $i,SV351: $i,SV54: $i,SV644: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV644 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV644 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SV644 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4949]) ).
thf(5168,plain,
! [SV353: $i,SV57: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4951]) ).
thf(5169,plain,
! [SV57: $i,SV353: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4951]) ).
thf(5170,plain,
! [SV58: $i,SV354: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV354 @ SV58 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV58 @ SV58 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV354 @ SV354 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV58 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV354 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4952]) ).
thf(5171,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4953]) ).
thf(5172,plain,
! [SV62: $i,SV358: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4955]) ).
thf(5173,plain,
! [SV358: $i,SV62: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4956]) ).
thf(5174,plain,
! [SV63: $i,SV359: $i] :
( ( ( SV359 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4957]) ).
thf(5175,plain,
! [SV568: $i,SV361: $i,SV65: $i,SV645: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV645 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV645 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SV645 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4959]) ).
thf(5176,plain,
! [SV362: $i,SV569: $i,SV66: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
| ( SV66 = SV362 ) )
| ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4960]) ).
thf(5177,plain,
! [SV570: $i,SV364: $i,SV68: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4961]) ).
thf(5178,plain,
! [SV571: $i,SV365: $i,SV70: $i,SV646: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV646 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SV646 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SV646 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4962]) ).
thf(5179,plain,
! [SV367: $i,SV72: $i] :
( ( ( SV72 != SV367 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4963]) ).
thf(5180,plain,
! [SV369: $i,SV75: $i,SV573: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4965]) ).
thf(5181,plain,
! [SV78: $i,SV372: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV78 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4968]) ).
thf(5182,plain,
! [SV373: $i,SV79: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4969]) ).
thf(5183,plain,
! [SV79: $i,SV373: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4970]) ).
thf(5184,plain,
! [SV374: $i,SV80: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( SV374 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4971]) ).
thf(5185,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( ~ ( ( SV574 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
| ( SV82 = SV376 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4973]) ).
thf(5186,plain,
! [SV378: $i,SV84: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4975]) ).
thf(5187,plain,
! [SV378: $i,SV84: $i] :
( ( ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4976]) ).
thf(5188,plain,
! [SV379: $i,SV575: $i,SV86: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SV575 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SV575 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SV575 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV575 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4977]) ).
thf(5189,plain,
! [SV88: $i,SV380: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV380 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV88 @ SV380 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV88 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV380 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4978]) ).
thf(5190,plain,
! [SV576: $i,SV381: $i,SV89: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SV576 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SV576 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV576 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4979]) ).
thf(5191,plain,
! [SV577: $i,SV382: $i,SV90: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) ) )
= $true )
| ( ( ( SV382 != SV577 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV577 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV577 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4980]) ).
thf(5192,plain,
! [SV93: $i,SV383: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK4_SY1060 @ SV383 @ SV93 ) ) )
= $false )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4981]) ).
thf(5193,plain,
! [SV93: $i,SV383: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK4_SY1060 @ SV383 @ SV93 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ ( sK4_SY1060 @ SV383 @ SV93 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ ( sK4_SY1060 @ SV383 @ SV93 ) ) ) )
= $false )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4981]) ).
thf(5194,plain,
! [SV578: $i,SV384: $i,SV94: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4982]) ).
thf(5195,plain,
! [SV97: $i,SV386: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV386 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV97 @ SV386 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV97 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV386 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4983]) ).
thf(5196,plain,
! [SV579: $i,SV387: $i,SV99: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4984]) ).
thf(5197,plain,
! [SV388: $i,SV101: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV101 @ SV388 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV101 @ SV101 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV388 @ SV388 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV101 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV388 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4985]) ).
thf(5198,plain,
! [SV102: $i,SV389: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
= $false )
| ( ( ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
| ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4986]) ).
thf(5199,plain,
! [SV391: $i,SV104: $i,SV580: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV580 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV580 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4987]) ).
thf(5200,plain,
! [SV392: $i,SV105: $i,SV581: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4988]) ).
thf(5201,plain,
! [SV393: $i,SV107: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV107 @ SV107 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV393 @ SV393 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ SV107 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV393 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV393 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4989]) ).
thf(5202,plain,
! [SV108: $i,SV394: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
| ( SV108 = SV394 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4990]) ).
thf(5203,plain,
! [SV109: $i,SV395: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4991]) ).
thf(5204,plain,
! [SV110: $i,SV396: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
= $false )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
| ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4992]) ).
thf(5205,plain,
! [SV397: $i,SV111: $i,SV582: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV582 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SV582 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SV582 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV582 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4993]) ).
thf(5206,plain,
! [SV398: $i,SV112: $i,SV583: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV583 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV398 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV583 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4994]) ).
thf(5207,plain,
! [SV584: $i,SV399: $i,SV113: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SV584 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV584 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV584 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4995]) ).
thf(5208,plain,
! [SV115: $i,SV401: $i] :
( ( ( SV401 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4996]) ).
thf(5209,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4997]) ).
thf(5210,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4998]) ).
thf(5211,plain,
! [SV585: $i,SV404: $i,SV118: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) ) )
= $true )
| ( ( ( SV404 != SV585 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV585 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV585 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4999]) ).
thf(5212,plain,
! [SV405: $i,SV120: $i,SV586: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV586 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SV586 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SV586 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV586 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5000]) ).
thf(5213,plain,
! [SV121: $i,SV406: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV406 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV121 @ SV406 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV121 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV406 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5001]) ).
thf(5214,plain,
! [SV122: $i,SV407: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5002]) ).
thf(5215,plain,
! [SV407: $i,SV122: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5003]) ).
thf(5216,plain,
! [SV408: $i,SV123: $i,SV587: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV587 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SV587 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SV587 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV587 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5004]) ).
thf(5217,plain,
! [SV409: $i,SV125: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5005]) ).
thf(5218,plain,
! [SV409: $i,SV125: $i] :
( ( ( ~ ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5006]) ).
thf(5219,plain,
! [SV410: $i,SV127: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV127 @ SV410 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV127 @ SV127 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV410 @ SV410 ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV127 @ cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV410 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5007]) ).
thf(5220,plain,
! [SV411: $i,SV129: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5008]) ).
thf(5221,plain,
! [SV411: $i,SV129: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5009]) ).
thf(5222,plain,
! [SV412: $i,SV588: $i,SV130: $i,SV647: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5010]) ).
thf(5223,plain,
! [SV589: $i,SV413: $i,SV131: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SV589 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SV589 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV589 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5011]) ).
thf(5224,plain,
! [SV590: $i,SV414: $i,SV132: $i,SV648: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5012]) ).
thf(5225,plain,
! [SV591: $i,SV134: $i,SV415: $i] :
( ( ( ~ ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
| ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5013]) ).
thf(5226,plain,
! [SV592: $i,SV416: $i,SV135: $i,SV649: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV649 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV592 @ SV649 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV592 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SV649 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV592 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5014]) ).
thf(5227,plain,
! [SV594: $i,SV419: $i,SV139: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) ) )
= $true )
| ( ( ( SV419 != SV594 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV594 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV594 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5017]) ).
thf(5228,plain,
! [SV141: $i,SV421: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV421 @ SV141 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV421 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV141 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV421 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5019]) ).
thf(5229,plain,
! [SV596: $i,SV422: $i,SV142: $i] :
( ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5020]) ).
thf(5230,plain,
! [SV423: $i,SV144: $i] :
( ( ( SV144 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5021]) ).
thf(5231,plain,
! [SV144: $i,SV423: $i] :
( ( ( SV423 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5021]) ).
thf(5232,plain,
! [SV146: $i,SV425: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
| ( SV146 = SV425 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5022]) ).
thf(5233,plain,
! [SV597: $i,SV427: $i,SV148: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SV597 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV597 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5024]) ).
thf(5234,plain,
! [SV428: $i,SV598: $i,SV151: $i,SV650: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5025]) ).
thf(5235,plain,
! [SV429: $i,SV152: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV152 @ SV429 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV152 @ SV152 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV429 @ SV429 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV152 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV429 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5026]) ).
thf(5236,plain,
! [SV430: $i,SV154: $i,SV599: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV599 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV599 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5027]) ).
thf(5237,plain,
! [SV600: $i,SV432: $i,SV158: $i] :
( ( ( ~ ( ( SV158 != SV432 ) ) )
= $true )
| ( ( ( SV432 != SV600 )
| ( SV158 != SV600 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5028]) ).
thf(5238,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5030]) ).
thf(5239,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5031]) ).
thf(5240,plain,
! [SV602: $i,SV435: $i,SV162: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SV602 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV602 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV602 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5032]) ).
thf(5241,plain,
! [SV439: $i,SV170: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5035]) ).
thf(5242,plain,
! [SV439: $i,SV170: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5035]) ).
thf(5243,plain,
! [SV605: $i,SV440: $i,SV171: $i,SV651: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5036]) ).
thf(5244,plain,
! [SV606: $i,SV441: $i,SV172: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) ) )
= $true )
| ( ( ( SV172 != SV606 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV606 @ SV441 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV606 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5037]) ).
thf(5245,plain,
! [SV442: $i,SV174: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV174 @ SV442 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV442 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV174 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV442 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5038]) ).
thf(5246,plain,
! [SV443: $i,SV175: $i,SV607: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV607 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SV607 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SV607 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SV607 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV607 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5039]) ).
thf(5247,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK6_SY1096 @ SV177 @ SV445 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5040]) ).
thf(5248,plain,
! [SV608: $i,SV447: $i,SV181: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) ) )
= $true )
| ( ( ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SV608 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV608 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5041]) ).
thf(5249,plain,
! [SV448: $i,SV183: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV183 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV448 ) )
= $true )
| ( ( SV183 = SV448 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV448 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5042]) ).
thf(5250,plain,
! [SV449: $i,SV184: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV184 @ SV449 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV184 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV449 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV449 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5043]) ).
thf(5251,plain,
! [SV609: $i,SV185: $i,SV450: $i,SV652: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5044]) ).
thf(5252,plain,
! [SV451: $i,SV186: $i] :
( ( ( SV186 != SV451 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5045]) ).
thf(5253,plain,
! [SV452: $i,SV187: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5046]) ).
thf(5254,plain,
! [SV452: $i,SV187: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5047]) ).
thf(5255,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5048]) ).
thf(5256,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5049]) ).
thf(5257,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ~ ( ( SV610 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5050]) ).
thf(5258,plain,
! [SV455: $i,SV190: $i,SV611: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV611 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV611 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5051]) ).
thf(5259,plain,
! [SV612: $i,SV457: $i,SV192: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SV612 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV612 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV612 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5052]) ).
thf(5260,plain,
! [SV458: $i,SV193: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV193 @ SV193 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV458 @ SV458 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV193 @ SV458 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV458 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV458 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5053]) ).
thf(5261,plain,
! [SV613: $i,SV459: $i,SV194: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV613 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SV613 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SV613 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV613 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5054]) ).
thf(5262,plain,
! [SV461: $i,SV196: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV196 @ SV196 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV461 @ SV461 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV461 @ SV196 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV461 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV461 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5055]) ).
thf(5263,plain,
! [SV198: $i,SV462: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5056]) ).
thf(5264,plain,
! [SV464: $i,SV200: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5058]) ).
thf(5265,plain,
! [SV464: $i,SV200: $i] :
( ( ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5059]) ).
thf(5266,plain,
! [SV467: $i,SV206: $i] :
( ( ( SV206 = SV467 )
= $false )
| ( ( SV206 = SV467 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV467 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5061]) ).
thf(5267,plain,
! [SV614: $i,SV468: $i,SV207: $i,SV653: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV653 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SV653 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SV653 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5062]) ).
thf(5268,plain,
! [SV211: $i,SV472: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5064]) ).
thf(5269,plain,
! [SV474: $i,SV214: $i,SV615: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV474 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV615 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5065]) ).
thf(5270,plain,
! [SV215: $i,SV475: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV475 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV215 @ SV475 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV215 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV475 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5066]) ).
thf(5271,plain,
! [SV476: $i,SV216: $i] :
( ( ( ~ ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) ) )
= $true )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5067]) ).
thf(5272,plain,
! [SV476: $i,SV216: $i] :
( ( ( SV216 != SV476 )
= $true )
| ( ( ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5068]) ).
thf(5273,plain,
! [SV477: $i,SV217: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
= $true )
| ( ( SV217 = SV477 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5069]) ).
thf(5274,plain,
! [SV477: $i,SV217: $i] :
( ( ( SV217 != SV477 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5070]) ).
thf(5275,plain,
! [SV479: $i,SV221: $i,SV616: $i] :
( ( ( ~ ( ( SV616 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
| ( SV221 = SV479 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5071]) ).
thf(5276,plain,
! [SV480: $i,SV223: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) )
= $true )
| ( ( SV480 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5072]) ).
thf(5277,plain,
! [SV617: $i,SV224: $i,SV481: $i,SV654: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5073]) ).
thf(5278,plain,
! [SV482: $i,SV225: $i,SV618: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV618 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SV618 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SV618 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SV618 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV618 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5074]) ).
thf(5279,plain,
! [SV226: $i,SV483: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV483 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV226 @ SV483 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV226 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV483 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5075]) ).
thf(5280,plain,
! [SV484: $i,SV227: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5076]) ).
thf(5281,plain,
! [SV227: $i,SV484: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5077]) ).
thf(5282,plain,
! [SV619: $i,SV485: $i,SV228: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5078]) ).
thf(5283,plain,
! [SV486: $i,SV229: $i,SV620: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV620 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV229 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV620 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5079]) ).
thf(5284,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
| ( SV231 = SV488 ) )
| ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5080]) ).
thf(5285,plain,
! [SV489: $i,SV232: $i,SV622: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5081]) ).
thf(5286,plain,
! [SV490: $i,SV233: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5082]) ).
thf(5287,plain,
! [SV233: $i,SV490: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5083]) ).
thf(5288,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5084]) ).
thf(5289,plain,
! [SV492: $i,SV235: $i,SV623: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV623 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SV623 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SV623 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV623 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5085]) ).
thf(5290,plain,
! [SV236: $i,SV624: $i,SV493: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV624 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SV624 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SV624 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV624 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5086]) ).
thf(5291,plain,
! [SV625: $i,SV494: $i,SV237: $i] :
( ( ( SV237 != SV494 )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SV625 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SV625 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV625 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5087]) ).
thf(5292,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5088]) ).
thf(5293,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5089]) ).
thf(5294,plain,
! [SV303: $i,SV240: $i] :
( ( ( ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK5_SY1022 @ SV240 @ SV303 ) )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( sK5_SY1022 @ SV240 @ SV303 ) @ SV240 ) ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5091]) ).
thf(5295,plain,
! [SV240: $i,SV303: $i,SV643: $i] :
( ( ( ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV643 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV643 @ SV240 ) ) ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5092]) ).
thf(5296,plain,
! [SV497: $i,SV241: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5093]) ).
thf(5297,plain,
! [SV497: $i,SV241: $i] :
( ( ( ~ ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5094]) ).
thf(5298,plain,
! [SV243: $i,SV626: $i,SV498: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV626 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SV626 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SV626 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV626 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5095]) ).
thf(5299,plain,
! [SV244: $i,SV499: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5096]) ).
thf(5300,plain,
! [SV627: $i,SV500: $i,SV245: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5097]) ).
thf(5301,plain,
! [SV246: $i,SV501: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV501 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV246 @ SV501 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV246 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV501 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5098]) ).
thf(5302,plain,
! [SV628: $i,SV502: $i,SV247: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5099]) ).
thf(5303,plain,
! [SV504: $i,SV249: $i,SV629: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV629 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SV629 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SV629 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SV629 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV629 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5100]) ).
thf(5304,plain,
! [SV250: $i,SV505: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV505 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV505 @ SV250 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV250 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV505 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5101]) ).
thf(5305,plain,
! [SV506: $i,SV251: $i] :
( ( ( SV251 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5102]) ).
thf(5306,plain,
! [SV252: $i,SV507: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV507 @ SV252 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV252 @ SV252 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV507 @ SV507 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV507 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV507 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV252 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5103]) ).
thf(5307,plain,
! [SV508: $i,SV253: $i,SV630: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV630 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SV630 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SV630 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV630 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5104]) ).
thf(5308,plain,
! [SV255: $i,SV510: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV510 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV510 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV255 @ SV255 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV510 @ SV510 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV255 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV510 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5105]) ).
thf(5309,plain,
! [SV256: $i,SV511: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV511 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV256 @ SV511 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV256 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV511 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5106]) ).
thf(5310,plain,
! [SV259: $i,SV514: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV514 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV259 @ SV514 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV259 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV514 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV259 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5108]) ).
thf(5311,plain,
! [SV263: $i,SV516: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV516 @ SV263 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV516 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV263 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV516 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV263 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5110]) ).
thf(5312,plain,
! [SV517: $i,SV264: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5111]) ).
thf(5313,plain,
! [SV264: $i,SV517: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5112]) ).
thf(5314,plain,
! [SV631: $i,SV518: $i,SV267: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SV631 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV631 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV631 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5113]) ).
thf(5315,plain,
! [SV632: $i,SV519: $i,SV268: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV519 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV632 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5114]) ).
thf(5316,plain,
! [SV521: $i,SV270: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5115]) ).
thf(5317,plain,
! [SV521: $i,SV270: $i] :
( ( ( ~ ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5115]) ).
thf(5318,plain,
! [SV522: $i,SV271: $i,SV633: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV633 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV633 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5116]) ).
thf(5319,plain,
! [SV305: $i,SV272: $i] :
( ( ( p @ SV272 )
= $true )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5117]) ).
thf(5320,plain,
! [SV272: $i,SV305: $i] :
( ( ( p @ SV305 )
= $true )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5118]) ).
thf(5321,plain,
! [SV305: $i,SV272: $i] :
( ( ( p @ SV272 )
= $false )
| ( ( ~ ( p @ SV305 ) )
= $true )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5119]) ).
thf(5322,plain,
! [SV634: $i,SV523: $i,SV273: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV634 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV523 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV634 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5120]) ).
thf(5323,plain,
! [SV635: $i,SV525: $i,SV275: $i] :
( ( ( SV275 != SV525 )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SV635 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SV635 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV635 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5121]) ).
thf(5324,plain,
! [SV280: $i,SV528: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV528 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV280 @ SV528 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV280 ) @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV528 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV280 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV528 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5122]) ).
thf(5325,plain,
! [SV530: $i,SV282: $i,SV636: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV636 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SV636 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SV636 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV636 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5123]) ).
thf(5326,plain,
! [SV531: $i,SV637: $i,SV283: $i,SV655: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5124]) ).
thf(5327,plain,
! [SV532: $i,SV284: $i,SV638: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV638 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SV638 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SV638 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV638 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5125]) ).
thf(5328,plain,
! [SV286: $i,SV533: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV533 @ SV286 ) )
= $false )
| ( ( SV286 = SV533 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV286 @ SV533 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV533 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5126]) ).
thf(5329,plain,
! [SV534: $i,SV287: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5127]) ).
thf(5330,plain,
! [SV287: $i,SV534: $i] :
( ( ( ~ ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5128]) ).
thf(5331,plain,
! [SV639: $i,SV535: $i,SV288: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SV639 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV639 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV639 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5129]) ).
thf(5332,plain,
! [SV289: $i,SV536: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV536 @ SV536 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV289 @ SV289 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV536 @ SV289 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV289 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV536 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5130]) ).
thf(5333,plain,
! [SV640: $i,SV538: $i,SV294: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SV640 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV640 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV640 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5131]) ).
thf(5334,plain,
! [SV295: $i,SV539: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV539 @ SV295 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV295 @ SV295 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV539 @ SV539 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV295 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV539 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV295 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5132]) ).
thf(5335,plain,
! [SV641: $i,SV541: $i,SV297: $i] :
( ( ( SV297 != SV541 )
= $true )
| ( ( ~ ( ( SV541 != SV641 ) )
| ( SV297 != SV641 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5133]) ).
thf(5336,plain,
! [SV542: $i,SV298: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV298 @ SV298 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV542 @ SV542 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV298 @ SV542 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV542 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV542 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5134]) ).
thf(5337,plain,
! [SV543: $i,SV299: $i,SV642: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ SV543 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV642 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5135]) ).
thf(5338,plain,
! [SV306: $i,SV1: $i,SV545: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV1 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV306 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV545 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5136]) ).
thf(5339,plain,
! [SV546: $i,SV4: $i,SV309: $i] :
( ( ( SV309 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
| ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5138]) ).
thf(5340,plain,
! [SV310: $i,SV5: $i] :
( ( ( SV5 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV310 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV5 @ SV310 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV310 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5139]) ).
thf(5341,plain,
! [SV547: $i,SV312: $i,SV7: $i] :
( ( ( SV7 = SV312 )
= $false )
| ( ( ( SV312 != SV547 )
| ( SV7 = SV547 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV547 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5140]) ).
thf(5342,plain,
! [SV548: $i,SV314: $i,SV9: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5141]) ).
thf(5343,plain,
! [SV314: $i,SV548: $i,SV9: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5141]) ).
thf(5344,plain,
! [SV16: $i,SV319: $i] :
( ( ( SV319 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV16 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV16 @ SV319 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV319 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5143]) ).
thf(5345,plain,
! [SV549: $i,SV320: $i,SV18: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5144]) ).
thf(5346,plain,
! [SV320: $i,SV549: $i,SV18: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5144]) ).
thf(5347,plain,
! [SV323: $i,SV21: $i,SV551: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5146]) ).
thf(5348,plain,
! [SV552: $i,SV324: $i,SV22: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SV552 ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SV552 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SV552 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV552 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5147]) ).
thf(5349,plain,
! [SV325: $i,SV23: $i,SV553: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV23 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV325 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV553 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5148]) ).
thf(5350,plain,
! [SV554: $i,SV326: $i,SV24: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV24 @ SV326 ) @ SV554 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV326 @ SV554 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV554 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV326 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5149]) ).
thf(5351,plain,
! [SV555: $i,SV328: $i,SV26: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
= $false )
| ( ( ( SV328 != SV555 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV555 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV555 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5150]) ).
thf(5352,plain,
! [SV329: $i,SV27: $i,SV556: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV556 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SV556 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SV556 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV556 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5151]) ).
thf(5353,plain,
! [SV330: $i,SV28: $i,SV557: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV28 @ SV330 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV557 @ SV28 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV557 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV330 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5152]) ).
thf(5354,plain,
! [SV558: $i,SV331: $i,SV29: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV29 @ SV331 ) @ SV558 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV29 @ SV558 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV558 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV331 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5153]) ).
thf(5355,plain,
! [SV559: $i,SV333: $i,SV32: $i] :
( ( ( SV32 = SV333 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SV559 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SV559 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV559 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5155]) ).
thf(5356,plain,
! [SV334: $i,SV560: $i,SV33: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV33 @ SV560 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV334 @ SV560 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV33 @ SV334 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV560 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV334 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5156]) ).
thf(5357,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5157]) ).
thf(5358,plain,
! [SV38: $i,SV337: $i] :
( ( ( SV337 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5158]) ).
thf(5359,plain,
! [SV563: $i,SV341: $i,SV43: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5159]) ).
thf(5360,plain,
! [SV342: $i,SV44: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5160]) ).
thf(5361,plain,
! [SV342: $i,SV44: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5161]) ).
thf(5362,plain,
! [SV347: $i,SV49: $i,SV565: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV565 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV49 @ SV565 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV347 @ SV565 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV49 @ SV347 ) @ SV565 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV565 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV347 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5164]) ).
thf(5363,plain,
! [SV348: $i,SV50: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5165]) ).
thf(5364,plain,
! [SV52: $i,SV350: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV52 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5166]) ).
thf(5365,plain,
! [SV566: $i,SV351: $i,SV54: $i,SV644: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV644 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV644 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SV644 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5167]) ).
thf(5366,plain,
! [SV353: $i,SV57: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5168]) ).
thf(5367,plain,
! [SV57: $i,SV353: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5169]) ).
thf(5368,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5171]) ).
thf(5369,plain,
! [SV59: $i,SV355: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5171]) ).
thf(5370,plain,
! [SV62: $i,SV358: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5172]) ).
thf(5371,plain,
! [SV358: $i,SV62: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV62 @ SV358 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV358 @ SV62 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV358 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5173]) ).
thf(5372,plain,
! [SV63: $i,SV359: $i] :
( ( ( SV359 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5174]) ).
thf(5373,plain,
! [SV568: $i,SV361: $i,SV65: $i,SV645: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV645 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV645 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SV645 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5175]) ).
thf(5374,plain,
! [SV362: $i,SV569: $i,SV66: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
| ( SV66 = SV362 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5176]) ).
thf(5375,plain,
! [SV569: $i,SV362: $i,SV66: $i] :
( ( ( ~ ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5176]) ).
thf(5376,plain,
! [SV570: $i,SV364: $i,SV68: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5177]) ).
thf(5377,plain,
! [SV571: $i,SV365: $i,SV70: $i,SV646: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV646 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SV646 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SV646 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5178]) ).
thf(5378,plain,
! [SV367: $i,SV72: $i] :
( ( ( SV72 = SV367 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV72 @ SV367 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV72 @ SV367 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV367 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5179]) ).
thf(5379,plain,
! [SV369: $i,SV75: $i,SV573: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
| ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5180]) ).
thf(5380,plain,
! [SV78: $i,SV372: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV372 @ SV78 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV372 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV78 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV372 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5181]) ).
thf(5381,plain,
! [SV373: $i,SV79: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5182]) ).
thf(5382,plain,
! [SV79: $i,SV373: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5183]) ).
thf(5383,plain,
! [SV374: $i,SV80: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV80 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV80 @ SV374 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( SV374 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV374 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5184]) ).
thf(5384,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( SV574 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
| ( SV82 = SV376 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5185]) ).
thf(5385,plain,
! [SV378: $i,SV84: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5186]) ).
thf(5386,plain,
! [SV378: $i,SV84: $i] :
( ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
| ( SV84 = SV378 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5187]) ).
thf(5387,plain,
! [SV379: $i,SV575: $i,SV86: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SV575 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SV575 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SV575 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV575 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5188]) ).
thf(5388,plain,
! [SV576: $i,SV381: $i,SV89: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SV576 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SV576 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV576 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5190]) ).
thf(5389,plain,
! [SV577: $i,SV382: $i,SV90: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
= $false )
| ( ( ( SV382 != SV577 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV577 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV577 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5191]) ).
thf(5390,plain,
! [SV93: $i,SV383: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK4_SY1060 @ SV383 @ SV93 ) )
= $true )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5192]) ).
thf(5391,plain,
! [SV93: $i,SV383: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK4_SY1060 @ SV383 @ SV93 ) ) ) )
= $false )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5193]) ).
thf(5392,plain,
! [SV383: $i,SV93: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV93 @ ( sK4_SY1060 @ SV383 @ SV93 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV383 @ ( sK4_SY1060 @ SV383 @ SV93 ) ) )
= $false )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5193]) ).
thf(5393,plain,
! [SV578: $i,SV384: $i,SV94: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5194]) ).
thf(5394,plain,
! [SV579: $i,SV387: $i,SV99: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5196]) ).
thf(5395,plain,
! [SV389: $i,SV102: $i] :
( ( ( SV102
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
= $true )
| ( ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5198]) ).
thf(5396,plain,
! [SV391: $i,SV104: $i,SV580: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV580 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV104 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ SV391 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV580 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV104 @ SV391 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV580 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV391 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5199]) ).
thf(5397,plain,
! [SV392: $i,SV105: $i,SV581: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5200]) ).
thf(5398,plain,
! [SV394: $i,SV108: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
= $true )
| ( ( SV108 = SV394 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5202]) ).
thf(5399,plain,
! [SV395: $i,SV109: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
| ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5203]) ).
thf(5400,plain,
! [SV396: $i,SV110: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 ) )
= $true )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5204]) ).
thf(5401,plain,
! [SV397: $i,SV111: $i,SV582: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV582 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SV582 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SV582 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV582 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5205]) ).
thf(5402,plain,
! [SV398: $i,SV112: $i,SV583: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV583 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV398 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV583 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5206]) ).
thf(5403,plain,
! [SV584: $i,SV399: $i,SV113: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SV584 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV584 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV584 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5207]) ).
thf(5404,plain,
! [SV115: $i,SV401: $i] :
( ( ( SV401 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV115 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV115 @ SV401 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV401 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5208]) ).
thf(5405,plain,
! [SV403: $i,SV117: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5209]) ).
thf(5406,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5210]) ).
thf(5407,plain,
! [SV585: $i,SV404: $i,SV118: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
= $false )
| ( ( ( SV404 != SV585 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV585 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV585 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5211]) ).
thf(5408,plain,
! [SV405: $i,SV120: $i,SV586: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV586 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SV586 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SV586 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV586 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5212]) ).
thf(5409,plain,
! [SV122: $i,SV407: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5214]) ).
thf(5410,plain,
! [SV407: $i,SV122: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV122 @ SV407 ) @ SV122 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV407 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV407 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5215]) ).
thf(5411,plain,
! [SV408: $i,SV123: $i,SV587: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV587 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SV587 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SV587 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV587 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5216]) ).
thf(5412,plain,
! [SV409: $i,SV125: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5217]) ).
thf(5413,plain,
! [SV409: $i,SV125: $i] :
( ( ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5218]) ).
thf(5414,plain,
! [SV411: $i,SV129: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5220]) ).
thf(5415,plain,
! [SV411: $i,SV129: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV129 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esucc___24a1 @ SV411 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV129 @ SV411 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV411 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5221]) ).
thf(5416,plain,
! [SV412: $i,SV588: $i,SV130: $i,SV647: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5222]) ).
thf(5417,plain,
! [SV589: $i,SV413: $i,SV131: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SV589 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SV589 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV589 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5223]) ).
thf(5418,plain,
! [SV590: $i,SV414: $i,SV132: $i,SV648: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5224]) ).
thf(5419,plain,
! [SV591: $i,SV134: $i,SV415: $i] :
( ( ( SV415 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
| ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5225]) ).
thf(5420,plain,
! [SV592: $i,SV416: $i,SV135: $i,SV649: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV649 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV592 @ SV649 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV592 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SV649 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV592 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5226]) ).
thf(5421,plain,
! [SV594: $i,SV419: $i,SV139: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
= $false )
| ( ( ( SV419 != SV594 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV594 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV594 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5227]) ).
thf(5422,plain,
! [SV596: $i,SV422: $i,SV142: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5229]) ).
thf(5423,plain,
! [SV423: $i,SV144: $i] :
( ( ( SV144 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5230]) ).
thf(5424,plain,
! [SV144: $i,SV423: $i] :
( ( ( SV423 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV144 @ SV144 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV423 @ SV423 ) )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV423 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV144 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5231]) ).
thf(5425,plain,
! [SV425: $i,SV146: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
= $true )
| ( ( SV146 = SV425 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5232]) ).
thf(5426,plain,
! [SV597: $i,SV427: $i,SV148: $i] :
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ SV427 )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV148 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV427 @ SV597 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV597 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV427 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5233]) ).
thf(5427,plain,
! [SV428: $i,SV598: $i,SV151: $i,SV650: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5234]) ).
thf(5428,plain,
! [SV430: $i,SV154: $i,SV599: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV599 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV154 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ SV430 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV599 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV154 @ SV430 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV599 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV430 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5236]) ).
thf(5429,plain,
! [SV600: $i,SV432: $i,SV158: $i] :
( ( ( SV158 != SV432 )
= $false )
| ( ( ( SV432 != SV600 )
| ( SV158 != SV600 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5237]) ).
thf(5430,plain,
! [SV434: $i,SV161: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5238]) ).
thf(5431,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5239]) ).
thf(5432,plain,
! [SV602: $i,SV435: $i,SV162: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SV602 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV602 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV602 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5240]) ).
thf(5433,plain,
! [SV439: $i,SV170: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5241]) ).
thf(5434,plain,
! [SV439: $i,SV170: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5242]) ).
thf(5435,plain,
! [SV605: $i,SV440: $i,SV171: $i,SV651: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5243]) ).
thf(5436,plain,
! [SV606: $i,SV441: $i,SV172: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
= $false )
| ( ( ( SV172 != SV606 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV606 @ SV441 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV606 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5244]) ).
thf(5437,plain,
! [SV443: $i,SV175: $i,SV607: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV607 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV175 @ SV607 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV443 @ SV607 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV175 @ SV443 ) @ SV607 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV607 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV443 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5246]) ).
thf(5438,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK6_SY1096 @ SV177 @ SV445 ) ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5247]) ).
thf(5439,plain,
! [SV608: $i,SV447: $i,SV181: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
= $false )
| ( ( ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SV608 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV608 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5248]) ).
thf(5440,plain,
! [SV609: $i,SV185: $i,SV450: $i,SV652: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5251]) ).
thf(5441,plain,
! [SV451: $i,SV186: $i] :
( ( ( SV186 = SV451 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV186 @ SV451 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV186 @ SV451 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV451 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV186 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5252]) ).
thf(5442,plain,
! [SV452: $i,SV187: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5253]) ).
thf(5443,plain,
! [SV452: $i,SV187: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV187 @ SV452 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV187 @ SV452 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV452 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5254]) ).
thf(5444,plain,
! [SV453: $i,SV188: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5255]) ).
thf(5445,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5256]) ).
thf(5446,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( SV610 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5257]) ).
thf(5447,plain,
! [SV455: $i,SV190: $i,SV611: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV611 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV190 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ SV455 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV611 @ ( cCoq_2eZArith_2eBinInt_2eZ_2elcm___24a2 @ SV190 @ SV455 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV611 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV455 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5258]) ).
thf(5448,plain,
! [SV612: $i,SV457: $i,SV192: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SV612 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV612 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV612 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5259]) ).
thf(5449,plain,
! [SV613: $i,SV459: $i,SV194: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV613 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SV613 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SV613 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV613 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5261]) ).
thf(5450,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5263]) ).
thf(5451,plain,
! [SV464: $i,SV200: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5264]) ).
thf(5452,plain,
! [SV464: $i,SV200: $i] :
( ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
| ( SV200 = SV464 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5265]) ).
thf(5453,plain,
! [SV614: $i,SV468: $i,SV207: $i,SV653: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV653 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SV653 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SV653 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5267]) ).
thf(5454,plain,
! [SV472: $i,SV211: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
| ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5268]) ).
thf(5455,plain,
! [SV474: $i,SV214: $i,SV615: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV214 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV615 @ SV474 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV214 @ SV474 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV615 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV474 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5269]) ).
thf(5456,plain,
! [SV476: $i,SV216: $i] :
( ( ( ! [SY1107: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1107 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1107 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1107 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1107 ) ) ) )
= $false )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5271]) ).
thf(5457,plain,
! [SV476: $i,SV216: $i] :
( ( ( SV216 = SV476 )
= $false )
| ( ( ! [SY1108: $i] :
( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SY1108 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SY1108 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SY1108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SY1108 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5272]) ).
thf(5458,plain,
! [SV477: $i,SV217: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
= $false )
| ( ( SV217 = SV477 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5273]) ).
thf(5459,plain,
! [SV477: $i,SV217: $i] :
( ( ( SV217 = SV477 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV217 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV477 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV477 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV217 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5274]) ).
thf(5460,plain,
! [SV479: $i,SV221: $i,SV616: $i] :
( ( ( SV616 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
| ( SV221 = SV479 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5275]) ).
thf(5461,plain,
! [SV480: $i,SV223: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV223 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2erem___24a2 @ SV223 @ SV480 ) ) )
= $true )
| ( ( SV480 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV480 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5276]) ).
thf(5462,plain,
! [SV617: $i,SV224: $i,SV481: $i,SV654: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5277]) ).
thf(5463,plain,
! [SV482: $i,SV225: $i,SV618: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV618 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV225 @ SV618 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV482 @ SV618 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2egcd___24a2 @ SV225 @ SV482 ) @ SV618 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV618 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV482 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5278]) ).
thf(5464,plain,
! [SV484: $i,SV227: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5280]) ).
thf(5465,plain,
! [SV227: $i,SV484: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5281]) ).
thf(5466,plain,
! [SV619: $i,SV485: $i,SV228: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5282]) ).
thf(5467,plain,
! [SV228: $i,SV485: $i,SV619: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5282]) ).
thf(5468,plain,
! [SV486: $i,SV229: $i,SV620: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV620 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV229 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV620 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5283]) ).
thf(5469,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
| ( SV231 = SV488 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5284]) ).
thf(5470,plain,
! [SV621: $i,SV488: $i,SV231: $i] :
( ( ( ~ ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5284]) ).
thf(5471,plain,
! [SV489: $i,SV232: $i,SV622: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5285]) ).
thf(5472,plain,
! [SV490: $i,SV233: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5286]) ).
thf(5473,plain,
! [SV233: $i,SV490: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV490 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV233 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV233 @ SV490 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV490 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV233 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5287]) ).
thf(5474,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5288]) ).
thf(5475,plain,
! [SV234: $i,SV491: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5288]) ).
thf(5476,plain,
! [SV492: $i,SV235: $i,SV623: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV623 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SV623 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SV623 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV623 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5289]) ).
thf(5477,plain,
! [SV236: $i,SV624: $i,SV493: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV624 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SV624 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SV624 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV624 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5290]) ).
thf(5478,plain,
! [SV625: $i,SV494: $i,SV237: $i] :
( ( ( SV237 = SV494 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SV625 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SV625 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV625 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5291]) ).
thf(5479,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5292]) ).
thf(5480,plain,
! [SV495: $i,SV238: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5293]) ).
thf(5481,plain,
! [SV303: $i,SV240: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK5_SY1022 @ SV240 @ SV303 ) )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( sK5_SY1022 @ SV240 @ SV303 ) @ SV240 ) ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5294]) ).
thf(5482,plain,
! [SV240: $i,SV303: $i,SV643: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV643 )
| ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV643 @ SV240 ) ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5295]) ).
thf(5483,plain,
! [SV497: $i,SV241: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5296]) ).
thf(5484,plain,
! [SV497: $i,SV241: $i] :
( ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5297]) ).
thf(5485,plain,
! [SV243: $i,SV626: $i,SV498: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV626 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SV626 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SV626 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV626 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5298]) ).
thf(5486,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5299]) ).
thf(5487,plain,
! [SV627: $i,SV500: $i,SV245: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5300]) ).
thf(5488,plain,
! [SV628: $i,SV502: $i,SV247: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5302]) ).
thf(5489,plain,
! [SV502: $i,SV247: $i,SV628: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5302]) ).
thf(5490,plain,
! [SV504: $i,SV249: $i,SV629: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV629 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV249 @ SV629 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV504 @ SV629 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV249 @ SV504 ) @ SV629 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV629 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV504 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5303]) ).
thf(5491,plain,
! [SV506: $i,SV251: $i] :
( ( ( SV251 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV506 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV251 @ SV506 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV506 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV251 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5305]) ).
thf(5492,plain,
! [SV508: $i,SV253: $i,SV630: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV630 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SV630 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SV630 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV630 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5307]) ).
thf(5493,plain,
! [SV517: $i,SV264: $i] :
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5312]) ).
thf(5494,plain,
! [SV264: $i,SV517: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV517 @ SV264 ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2ege___24a2 @ SV264 @ SV517 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV517 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV264 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5313]) ).
thf(5495,plain,
! [SV631: $i,SV518: $i,SV267: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SV631 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV631 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV631 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5314]) ).
thf(5496,plain,
! [SV632: $i,SV519: $i,SV268: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV268 @ SV519 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV268 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV632 @ SV519 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV632 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV519 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5315]) ).
thf(5497,plain,
! [SV521: $i,SV270: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5316]) ).
thf(5498,plain,
! [SV521: $i,SV270: $i] :
( ( ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5317]) ).
thf(5499,plain,
! [SV522: $i,SV271: $i,SV633: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV633 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV271 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ SV522 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV633 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV271 @ SV522 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV633 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV522 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5318]) ).
thf(5500,plain,
! [SV272: $i,SV305: $i] :
( ( ( p @ SV305 )
= $false )
| ( ( p @ SV272 )
= $false )
| ( ( p @ ( c_24__prop__13363___24a2 @ SV272 @ SV305 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5321]) ).
thf(5501,plain,
! [SV634: $i,SV523: $i,SV273: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV634 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV523 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV634 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5322]) ).
thf(5502,plain,
! [SV635: $i,SV525: $i,SV275: $i] :
( ( ( SV275 = SV525 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SV635 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SV635 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV635 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5323]) ).
thf(5503,plain,
! [SV530: $i,SV282: $i,SV636: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV636 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SV636 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SV636 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV636 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5325]) ).
thf(5504,plain,
! [SV531: $i,SV637: $i,SV283: $i,SV655: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5326]) ).
thf(5505,plain,
! [SV532: $i,SV284: $i,SV638: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV638 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SV638 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SV638 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV638 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5327]) ).
thf(5506,plain,
! [SV534: $i,SV287: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5329]) ).
thf(5507,plain,
! [SV287: $i,SV534: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5330]) ).
thf(5508,plain,
! [SV639: $i,SV535: $i,SV288: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SV639 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV639 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV639 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5331]) ).
thf(5509,plain,
! [SV640: $i,SV538: $i,SV294: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SV640 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV640 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV640 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5333]) ).
thf(5510,plain,
! [SV641: $i,SV541: $i,SV297: $i] :
( ( ( SV297 = SV541 )
= $false )
| ( ( ~ ( ( SV541 != SV641 ) )
| ( SV297 != SV641 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5335]) ).
thf(5511,plain,
! [SV543: $i,SV299: $i,SV642: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV299 @ SV543 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV642 @ SV543 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV642 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV543 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV299 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5337]) ).
thf(5512,plain,
! [SV1: $i,SV306: $i,SV545: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV306 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV1 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV545 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5338]) ).
thf(5513,plain,
! [SV546: $i,SV4: $i,SV309: $i] :
( ( ( SV309 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
| ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5339]) ).
thf(5514,plain,
! [SV7: $i,SV547: $i,SV312: $i] :
( ( ( SV312 != SV547 )
= $true )
| ( ( SV7 = SV547 )
= $true )
| ( ( SV7 = SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV547 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5341]) ).
thf(5515,plain,
! [SV548: $i,SV314: $i,SV9: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5342]) ).
thf(5516,plain,
! [SV314: $i,SV548: $i,SV9: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5343]) ).
thf(5517,plain,
! [SV549: $i,SV320: $i,SV18: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5345]) ).
thf(5518,plain,
! [SV320: $i,SV549: $i,SV18: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5346]) ).
thf(5519,plain,
! [SV551: $i,SV323: $i,SV21: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5347]) ).
thf(5520,plain,
! [SV324: $i,SV552: $i,SV22: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV22 @ SV552 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV324 @ SV552 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV22 @ SV324 ) @ SV552 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV552 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV324 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5348]) ).
thf(5521,plain,
! [SV325: $i,SV23: $i,SV553: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV23 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ SV325 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV553 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV23 @ SV325 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV553 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV325 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5349]) ).
thf(5522,plain,
! [SV26: $i,SV555: $i,SV328: $i] :
( ( ( SV328 != SV555 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV555 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV555 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5351]) ).
thf(5523,plain,
! [SV329: $i,SV556: $i,SV27: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SV556 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SV556 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV556 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV556 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5352]) ).
thf(5524,plain,
! [SV32: $i,SV559: $i,SV333: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SV559 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SV559 ) )
= $true )
| ( ( SV32 = SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV559 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5355]) ).
thf(5525,plain,
! [SV561: $i,SV335: $i,SV34: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5357]) ).
thf(5526,plain,
! [SV337: $i,SV38: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( SV337 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5358]) ).
thf(5527,plain,
! [SV43: $i,SV563: $i,SV341: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5359]) ).
thf(5528,plain,
! [SV342: $i,SV44: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5360]) ).
thf(5529,plain,
! [SV342: $i,SV44: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5361]) ).
thf(5530,plain,
! [SV348: $i,SV50: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5363]) ).
thf(5531,plain,
! [SV348: $i,SV50: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5363]) ).
thf(5532,plain,
! [SV350: $i,SV52: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV52 @ SV350 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV350 ) )
= $false )
| ( ( SV52 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV350 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5364]) ).
thf(5533,plain,
! [SV566: $i,SV351: $i,SV54: $i,SV644: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV644 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV644 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SV644 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5365]) ).
thf(5534,plain,
! [SV353: $i,SV57: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5366]) ).
thf(5535,plain,
! [SV57: $i,SV353: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5367]) ).
thf(5536,plain,
! [SV355: $i,SV59: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5368]) ).
thf(5537,plain,
! [SV59: $i,SV355: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5369]) ).
thf(5538,plain,
! [SV63: $i,SV359: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) )
= $false )
| ( ( SV359 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5372]) ).
thf(5539,plain,
! [SV568: $i,SV361: $i,SV65: $i,SV645: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV645 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV645 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SV645 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5373]) ).
thf(5540,plain,
! [SV362: $i,SV569: $i,SV66: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
| ( SV66 = SV362 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5374]) ).
thf(5541,plain,
! [SV569: $i,SV362: $i,SV66: $i] :
( ( ( ( SV66 != SV362 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5375]) ).
thf(5542,plain,
! [SV68: $i,SV570: $i,SV364: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5376]) ).
thf(5543,plain,
! [SV571: $i,SV365: $i,SV70: $i,SV646: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV646 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SV646 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SV646 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5377]) ).
thf(5544,plain,
! [SV573: $i,SV369: $i,SV75: $i] :
( ( ( SV75
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
= $true )
| ( ( ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5379]) ).
thf(5545,plain,
! [SV373: $i,SV79: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5381]) ).
thf(5546,plain,
! [SV373: $i,SV79: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV79 @ SV373 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV373 @ SV79 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV373 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5382]) ).
thf(5547,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( SV574 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
| ( SV82 = SV376 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5384]) ).
thf(5548,plain,
! [SV378: $i,SV84: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
= $true )
| ( ( SV84 = SV378 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5385]) ).
thf(5549,plain,
! [SV378: $i,SV84: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV84 @ SV378 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5386]) ).
thf(5550,plain,
! [SV378: $i,SV84: $i] :
( ( ( SV84 = SV378 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV84 @ SV378 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV378 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5386]) ).
thf(5551,plain,
! [SV86: $i,SV575: $i,SV379: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SV575 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SV575 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SV575 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV575 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5387]) ).
thf(5552,plain,
! [SV89: $i,SV576: $i,SV381: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SV576 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SV576 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV576 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5388]) ).
thf(5553,plain,
! [SV90: $i,SV577: $i,SV382: $i] :
( ( ( SV382 != SV577 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV577 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV577 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5389]) ).
thf(5554,plain,
! [SV93: $i,SV383: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK4_SY1060 @ SV383 @ SV93 ) ) )
= $true )
| ( ( SV93 = SV383 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV383 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5391]) ).
thf(5555,plain,
! [SV94: $i,SV578: $i,SV384: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5393]) ).
thf(5556,plain,
! [SV99: $i,SV579: $i,SV387: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5394]) ).
thf(5557,plain,
! [SV389: $i,SV102: $i] :
( ( ( SV102
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eopp___24a1 @ SV389 ) )
= $false )
| ( ( SV102 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV389 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV102 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV389 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5395]) ).
thf(5558,plain,
! [SV581: $i,SV392: $i,SV105: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5397]) ).
thf(5559,plain,
! [SV394: $i,SV108: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV108 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV394 ) )
= $false )
| ( ( SV108 = SV394 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV394 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV108 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV394 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5398]) ).
thf(5560,plain,
! [SV395: $i,SV109: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5399]) ).
thf(5561,plain,
! [SV395: $i,SV109: $i] :
( ( ( ~ ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5399]) ).
thf(5562,plain,
! [SV396: $i,SV110: $i] :
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
= $false )
| ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
| ( SV110 = SV396 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5400]) ).
thf(5563,plain,
! [SV397: $i,SV582: $i,SV111: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SV582 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SV582 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV582 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV582 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5401]) ).
thf(5564,plain,
! [SV583: $i,SV398: $i,SV112: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV398 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV583 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV583 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5402]) ).
thf(5565,plain,
! [SV113: $i,SV584: $i,SV399: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SV584 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV584 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV584 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5403]) ).
thf(5566,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5405]) ).
thf(5567,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5406]) ).
thf(5568,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5406]) ).
thf(5569,plain,
! [SV118: $i,SV585: $i,SV404: $i] :
( ( ( SV404 != SV585 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV585 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV585 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5407]) ).
thf(5570,plain,
! [SV405: $i,SV586: $i,SV120: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SV586 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SV586 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV586 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV586 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5408]) ).
thf(5571,plain,
! [SV587: $i,SV408: $i,SV123: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SV587 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SV587 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV587 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV587 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5411]) ).
thf(5572,plain,
! [SV409: $i,SV125: $i] :
( ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5412]) ).
thf(5573,plain,
! [SV409: $i,SV125: $i] :
( ( ( SV125 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5413]) ).
thf(5574,plain,
! [SV125: $i,SV409: $i] :
( ( ( SV409 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV125 @ SV409 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV409 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5413]) ).
thf(5575,plain,
! [SV412: $i,SV588: $i,SV130: $i,SV647: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5416]) ).
thf(5576,plain,
! [SV131: $i,SV589: $i,SV413: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SV589 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SV589 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV589 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5417]) ).
thf(5577,plain,
! [SV590: $i,SV414: $i,SV132: $i,SV648: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5418]) ).
thf(5578,plain,
! [SV591: $i,SV134: $i,SV415: $i] :
( ( ( SV415 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
| ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5419]) ).
thf(5579,plain,
! [SV592: $i,SV416: $i,SV135: $i,SV649: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV649 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV416 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV592 @ SV649 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV135 @ SV592 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV416 @ SV649 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV592 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV416 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5420]) ).
thf(5580,plain,
! [SV139: $i,SV594: $i,SV419: $i] :
( ( ( SV419 != SV594 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV594 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV594 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5421]) ).
thf(5581,plain,
! [SV596: $i,SV422: $i,SV142: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5422]) ).
thf(5582,plain,
! [SV425: $i,SV146: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV146 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV425 ) )
= $false )
| ( ( SV146 = SV425 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV425 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV146 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV425 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5425]) ).
thf(5583,plain,
! [SV428: $i,SV598: $i,SV151: $i,SV650: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5427]) ).
thf(5584,plain,
! [SV600: $i,SV432: $i,SV158: $i] :
( ( ( SV158 = SV432 )
= $true )
| ( ( ( SV432 != SV600 )
| ( SV158 != SV600 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5429]) ).
thf(5585,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5430]) ).
thf(5586,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5431]) ).
thf(5587,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5431]) ).
thf(5588,plain,
! [SV162: $i,SV602: $i,SV435: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SV602 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV602 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV602 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5432]) ).
thf(5589,plain,
! [SV439: $i,SV170: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5433]) ).
thf(5590,plain,
! [SV439: $i,SV170: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5434]) ).
thf(5591,plain,
! [SV605: $i,SV440: $i,SV171: $i,SV651: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5435]) ).
thf(5592,plain,
! [SV441: $i,SV606: $i,SV172: $i] :
( ( ( SV172 != SV606 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV606 @ SV441 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV606 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5436]) ).
thf(5593,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK6_SY1096 @ SV177 @ SV445 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5438]) ).
thf(5594,plain,
! [SV608: $i,SV181: $i,SV447: $i] :
( ( ( SV447 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SV608 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV608 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5439]) ).
thf(5595,plain,
! [SV609: $i,SV185: $i,SV450: $i,SV652: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5440]) ).
thf(5596,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5444]) ).
thf(5597,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5445]) ).
thf(5598,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5446]) ).
thf(5599,plain,
! [SV192: $i,SV612: $i,SV457: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SV612 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV612 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV612 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5448]) ).
thf(5600,plain,
! [SV459: $i,SV194: $i,SV613: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV613 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SV613 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SV613 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV613 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5449]) ).
thf(5601,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5450]) ).
thf(5602,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5450]) ).
thf(5603,plain,
! [SV464: $i,SV200: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
= $true )
| ( ( SV200 = SV464 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5451]) ).
thf(5604,plain,
! [SV464: $i,SV200: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV200 @ SV464 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5452]) ).
thf(5605,plain,
! [SV464: $i,SV200: $i] :
( ( ( SV200 = SV464 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV200 @ SV464 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV464 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5452]) ).
thf(5606,plain,
! [SV614: $i,SV468: $i,SV207: $i,SV653: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV653 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SV653 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SV653 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5453]) ).
thf(5607,plain,
! [SV472: $i,SV211: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5454]) ).
thf(5608,plain,
! [SV472: $i,SV211: $i] :
( ( ( ~ ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5454]) ).
thf(5609,plain,
! [SV216: $i,SV476: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK7_SY1107 @ SV476 @ SV216 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK7_SY1107 @ SV476 @ SV216 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ ( sK7_SY1107 @ SV476 @ SV216 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ ( sK7_SY1107 @ SV476 @ SV216 ) ) ) )
= $false )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5456]) ).
thf(5610,plain,
! [SV476: $i,SV216: $i,SV656: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV656 )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV656 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SV656 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SV656 ) ) )
= $true )
| ( ( SV216 = SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5457]) ).
thf(5611,plain,
! [SV479: $i,SV221: $i,SV616: $i] :
( ( ( SV616 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
| ( SV221 = SV479 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5460]) ).
thf(5612,plain,
! [SV617: $i,SV224: $i,SV481: $i,SV654: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5462]) ).
thf(5613,plain,
! [SV227: $i,SV484: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5464]) ).
thf(5614,plain,
! [SV227: $i,SV484: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV484 @ SV227 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV227 @ SV484 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV484 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5465]) ).
thf(5615,plain,
! [SV619: $i,SV485: $i,SV228: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5466]) ).
thf(5616,plain,
! [SV228: $i,SV485: $i,SV619: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5467]) ).
thf(5617,plain,
! [SV620: $i,SV486: $i,SV229: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV229 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV620 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV620 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5468]) ).
thf(5618,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
| ( SV231 = SV488 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5469]) ).
thf(5619,plain,
! [SV621: $i,SV488: $i,SV231: $i] :
( ( ( ( SV231 != SV488 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5470]) ).
thf(5620,plain,
! [SV622: $i,SV489: $i,SV232: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5471]) ).
thf(5621,plain,
! [SV491: $i,SV234: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5474]) ).
thf(5622,plain,
! [SV234: $i,SV491: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5475]) ).
thf(5623,plain,
! [SV623: $i,SV492: $i,SV235: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SV623 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SV623 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV623 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV623 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5476]) ).
thf(5624,plain,
! [SV493: $i,SV236: $i,SV624: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV624 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SV624 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SV624 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV624 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5477]) ).
thf(5625,plain,
! [SV237: $i,SV625: $i,SV494: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SV625 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SV625 ) )
= $true )
| ( ( SV237 = SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV625 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5478]) ).
thf(5626,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5479]) ).
thf(5627,plain,
! [SV495: $i,SV238: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5480]) ).
thf(5628,plain,
! [SV303: $i,SV240: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK5_SY1022 @ SV240 @ SV303 ) ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5481]) ).
thf(5629,plain,
! [SV240: $i,SV303: $i] :
( ( ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( sK5_SY1022 @ SV240 @ SV303 ) @ SV240 ) )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5481]) ).
thf(5630,plain,
! [SV240: $i,SV303: $i,SV643: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV643 ) )
= $true )
| ( ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV643 @ SV240 ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5482]) ).
thf(5631,plain,
! [SV497: $i,SV241: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5483]) ).
thf(5632,plain,
! [SV497: $i,SV241: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV241 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5484]) ).
thf(5633,plain,
! [SV241: $i,SV497: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV497 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eland___24a2 @ SV241 @ SV497 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV497 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5484]) ).
thf(5634,plain,
! [SV498: $i,SV243: $i,SV626: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV626 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SV626 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SV626 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV626 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5485]) ).
thf(5635,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5486]) ).
thf(5636,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5486]) ).
thf(5637,plain,
! [SV245: $i,SV627: $i,SV500: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
| ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5487]) ).
thf(5638,plain,
! [SV628: $i,SV502: $i,SV247: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5488]) ).
thf(5639,plain,
! [SV502: $i,SV247: $i,SV628: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5489]) ).
thf(5640,plain,
! [SV630: $i,SV508: $i,SV253: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SV630 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SV630 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV630 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV630 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5492]) ).
thf(5641,plain,
! [SV267: $i,SV631: $i,SV518: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SV631 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV631 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV631 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5495]) ).
thf(5642,plain,
! [SV521: $i,SV270: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5497]) ).
thf(5643,plain,
! [SV521: $i,SV270: $i] :
( ( ( SV270 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5498]) ).
thf(5644,plain,
! [SV523: $i,SV273: $i,SV634: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV634 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV523 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV634 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5501]) ).
thf(5645,plain,
! [SV275: $i,SV635: $i,SV525: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SV635 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SV635 ) )
= $true )
| ( ( SV275 = SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV635 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5502]) ).
thf(5646,plain,
! [SV530: $i,SV636: $i,SV282: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SV636 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SV636 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV636 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV636 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5503]) ).
thf(5647,plain,
! [SV531: $i,SV637: $i,SV283: $i,SV655: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
| ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5504]) ).
thf(5648,plain,
! [SV638: $i,SV532: $i,SV284: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SV638 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SV638 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV638 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV638 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5505]) ).
thf(5649,plain,
! [SV287: $i,SV534: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5506]) ).
thf(5650,plain,
! [SV287: $i,SV534: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV534 @ SV287 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV287 @ SV534 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV534 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV287 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5507]) ).
thf(5651,plain,
! [SV288: $i,SV639: $i,SV535: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SV639 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV639 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV639 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5508]) ).
thf(5652,plain,
! [SV294: $i,SV640: $i,SV538: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SV640 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV640 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV640 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5509]) ).
thf(5653,plain,
! [SV297: $i,SV641: $i,SV541: $i] :
( ( ( ~ ( ( SV541 != SV641 ) ) )
= $true )
| ( ( SV297 != SV641 )
= $true )
| ( ( SV297 = SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5510]) ).
thf(5654,plain,
! [SV1: $i,SV306: $i,SV545: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV306 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emin___24a2 @ SV1 @ SV306 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV545 @ SV1 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV545 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV306 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5512]) ).
thf(5655,plain,
! [SV546: $i,SV309: $i,SV4: $i] :
( ( ( SV4
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
= $true )
| ( ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) )
= $true )
| ( ( SV309 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5513]) ).
thf(5656,plain,
! [SV7: $i,SV547: $i,SV312: $i] :
( ( ( SV312 = SV547 )
= $false )
| ( ( SV7 = SV547 )
= $true )
| ( ( SV7 = SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV547 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV312 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5514]) ).
thf(5657,plain,
! [SV548: $i,SV314: $i,SV9: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5515]) ).
thf(5658,plain,
! [SV314: $i,SV548: $i,SV9: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5516]) ).
thf(5659,plain,
! [SV549: $i,SV320: $i,SV18: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5517]) ).
thf(5660,plain,
! [SV320: $i,SV549: $i,SV18: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5518]) ).
thf(5661,plain,
! [SV551: $i,SV323: $i,SV21: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5519]) ).
thf(5662,plain,
! [SV323: $i,SV551: $i,SV21: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5519]) ).
thf(5663,plain,
! [SV26: $i,SV555: $i,SV328: $i] :
( ( ( SV328 = SV555 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV555 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV26 @ SV328 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV555 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV328 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5522]) ).
thf(5664,plain,
! [SV329: $i,SV556: $i,SV27: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV27 @ SV556 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV329 @ SV556 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV27 @ SV329 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV556 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV556 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV329 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5523]) ).
thf(5665,plain,
! [SV32: $i,SV559: $i,SV333: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV333 @ SV559 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV32 @ SV559 ) )
= $true )
| ( ( SV32 = SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV559 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV333 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5524]) ).
thf(5666,plain,
! [SV561: $i,SV335: $i,SV34: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5525]) ).
thf(5667,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5525]) ).
thf(5668,plain,
! [SV337: $i,SV38: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) ) )
= $false )
| ( ( SV337 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5526]) ).
thf(5669,plain,
! [SV38: $i,SV337: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( SV337 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5526]) ).
thf(5670,plain,
! [SV43: $i,SV563: $i,SV341: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5527]) ).
thf(5671,plain,
! [SV563: $i,SV43: $i,SV341: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5527]) ).
thf(5672,plain,
! [SV342: $i,SV44: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5528]) ).
thf(5673,plain,
! [SV342: $i,SV44: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV44 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV44 @ SV342 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV342 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV342 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5529]) ).
thf(5674,plain,
! [SV348: $i,SV50: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV50 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5530]) ).
thf(5675,plain,
! [SV348: $i,SV50: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV50 @ SV348 ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eldiff___24a2 @ SV50 @ SV348 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV348 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV348 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5531]) ).
thf(5676,plain,
! [SV644: $i,SV566: $i,SV351: $i,SV54: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV644 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SV644 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV644 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5533]) ).
thf(5677,plain,
! [SV353: $i,SV57: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5534]) ).
thf(5678,plain,
! [SV57: $i,SV353: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV353 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV57 @ SV353 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV57 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV353 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5535]) ).
thf(5679,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5536]) ).
thf(5680,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5537]) ).
thf(5681,plain,
! [SV63: $i,SV359: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) ) )
= $false )
| ( ( SV359 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5538]) ).
thf(5682,plain,
! [SV63: $i,SV359: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) ) )
= $false )
| ( ( SV359 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5538]) ).
thf(5683,plain,
! [SV645: $i,SV568: $i,SV361: $i,SV65: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV645 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SV645 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV645 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5539]) ).
thf(5684,plain,
! [SV362: $i,SV569: $i,SV66: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
= $true )
| ( ( SV66 = SV362 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5540]) ).
thf(5685,plain,
! [SV569: $i,SV362: $i,SV66: $i] :
( ( ( SV66 != SV362 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5541]) ).
thf(5686,plain,
! [SV68: $i,SV570: $i,SV364: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5542]) ).
thf(5687,plain,
! [SV570: $i,SV364: $i,SV68: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5542]) ).
thf(5688,plain,
! [SV646: $i,SV571: $i,SV365: $i,SV70: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SV646 ) ) ) )
= $true )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SV646 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV646 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5543]) ).
thf(5689,plain,
! [SV573: $i,SV369: $i,SV75: $i] :
( ( ( SV75
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
= $false )
| ( ( ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
| ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5544]) ).
thf(5690,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
= $true )
| ( ( SV82 = SV376 )
= $true )
| ( ( SV574 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5547]) ).
thf(5691,plain,
! [SV86: $i,SV575: $i,SV379: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV379 @ SV575 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emax___24a2 @ SV86 @ SV379 ) @ SV575 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV86 @ SV575 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV575 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV379 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5551]) ).
thf(5692,plain,
! [SV89: $i,SV576: $i,SV381: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV381 @ SV576 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV89 @ SV576 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV89 @ SV381 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV576 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV381 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5552]) ).
thf(5693,plain,
! [SV90: $i,SV577: $i,SV382: $i] :
( ( ( SV382 = SV577 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV577 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV90 @ SV382 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV577 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV382 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5553]) ).
thf(5694,plain,
! [SV94: $i,SV578: $i,SV384: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5555]) ).
thf(5695,plain,
! [SV99: $i,SV579: $i,SV387: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5556]) ).
thf(5696,plain,
! [SV387: $i,SV579: $i,SV99: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5556]) ).
thf(5697,plain,
! [SV581: $i,SV392: $i,SV105: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5558]) ).
thf(5698,plain,
! [SV105: $i,SV392: $i,SV581: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5558]) ).
thf(5699,plain,
! [SV395: $i,SV109: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
| ( SV109 = SV395 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5560]) ).
thf(5700,plain,
! [SV395: $i,SV109: $i] :
( ( ( ( SV109 != SV395 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5561]) ).
thf(5701,plain,
! [SV110: $i,SV396: $i] :
( ( ( ~ ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 ) )
= $true )
| ( ( SV110 = SV396 )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5562]) ).
thf(5702,plain,
! [SV397: $i,SV582: $i,SV111: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV111 @ SV582 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV397 @ SV582 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV111 @ SV397 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV582 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV582 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV397 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5563]) ).
thf(5703,plain,
! [SV583: $i,SV398: $i,SV112: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV112 @ SV398 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV112 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV583 @ SV398 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV583 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV583 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV398 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5564]) ).
thf(5704,plain,
! [SV113: $i,SV584: $i,SV399: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV399 @ SV584 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV584 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV113 @ SV399 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV584 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV399 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5565]) ).
thf(5705,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5566]) ).
thf(5706,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5567]) ).
thf(5707,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5568]) ).
thf(5708,plain,
! [SV118: $i,SV585: $i,SV404: $i] :
( ( ( SV404 = SV585 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV585 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV118 @ SV404 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV585 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV404 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5569]) ).
thf(5709,plain,
! [SV405: $i,SV586: $i,SV120: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV120 @ SV586 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV405 @ SV586 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV120 @ SV405 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV586 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV586 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV405 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5570]) ).
thf(5710,plain,
! [SV587: $i,SV408: $i,SV123: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV123 @ SV408 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV123 @ SV587 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV408 @ SV587 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV587 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV587 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV408 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5571]) ).
thf(5711,plain,
! [SV647: $i,SV412: $i,SV588: $i,SV130: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5575]) ).
thf(5712,plain,
! [SV131: $i,SV589: $i,SV413: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV413 @ SV589 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV131 @ SV589 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV131 @ SV413 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV589 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV413 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5576]) ).
thf(5713,plain,
! [SV648: $i,SV590: $i,SV414: $i,SV132: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5577]) ).
thf(5714,plain,
! [SV591: $i,SV415: $i,SV134: $i] :
( ( ( SV134
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
= $true )
| ( ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) )
= $true )
| ( ( SV415 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5578]) ).
thf(5715,plain,
! [SV139: $i,SV594: $i,SV419: $i] :
( ( ( SV419 = SV594 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV594 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV139 @ SV419 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV594 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV419 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5580]) ).
thf(5716,plain,
! [SV596: $i,SV422: $i,SV142: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5581]) ).
thf(5717,plain,
! [SV650: $i,SV428: $i,SV598: $i,SV151: $i] :
( ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5583]) ).
thf(5718,plain,
! [SV158: $i,SV600: $i,SV432: $i] :
( ( ( SV432 != SV600 )
= $true )
| ( ( SV158 != SV600 )
= $true )
| ( ( SV158 = SV432 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5584]) ).
thf(5719,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5585]) ).
thf(5720,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5586]) ).
thf(5721,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5587]) ).
thf(5722,plain,
! [SV162: $i,SV602: $i,SV435: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV435 @ SV602 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV602 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV162 @ SV435 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV602 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV435 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5588]) ).
thf(5723,plain,
! [SV439: $i,SV170: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5589]) ).
thf(5724,plain,
! [SV439: $i,SV170: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV170 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV170 @ SV439 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV439 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV439 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5590]) ).
thf(5725,plain,
! [SV651: $i,SV605: $i,SV440: $i,SV171: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5591]) ).
thf(5726,plain,
! [SV441: $i,SV606: $i,SV172: $i] :
( ( ( SV172 = SV606 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV606 @ SV441 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV172 @ SV441 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV606 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV441 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5592]) ).
thf(5727,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5593]) ).
thf(5728,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK6_SY1096 @ SV177 @ SV445 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5593]) ).
thf(5729,plain,
! [SV608: $i,SV181: $i,SV447: $i] :
( ( ( SV447 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV181 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV447 @ SV608 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV181 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV608 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV447 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5594]) ).
thf(5730,plain,
! [SV609: $i,SV652: $i,SV185: $i,SV450: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5595]) ).
thf(5731,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5596]) ).
thf(5732,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5596]) ).
thf(5733,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5597]) ).
thf(5734,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
| ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) )
= $false )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5598]) ).
thf(5735,plain,
! [SV192: $i,SV612: $i,SV457: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV457 @ SV612 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV612 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV192 @ SV457 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV612 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV457 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5599]) ).
thf(5736,plain,
! [SV459: $i,SV194: $i,SV613: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV613 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV194 @ SV613 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV459 @ SV613 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV194 @ SV459 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV613 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV459 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5600]) ).
thf(5737,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5601]) ).
thf(5738,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5602]) ).
thf(5739,plain,
! [SV653: $i,SV614: $i,SV468: $i,SV207: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SV653 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SV653 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV653 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5606]) ).
thf(5740,plain,
! [SV472: $i,SV211: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
| ( SV211 = SV472 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5607]) ).
thf(5741,plain,
! [SV472: $i,SV211: $i] :
( ( ( ( SV211 != SV472 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5608]) ).
thf(5742,plain,
! [SV216: $i,SV476: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK7_SY1107 @ SV476 @ SV216 ) ) )
= $false )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5609]) ).
thf(5743,plain,
! [SV216: $i,SV476: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK7_SY1107 @ SV476 @ SV216 ) ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ ( sK7_SY1107 @ SV476 @ SV216 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ ( sK7_SY1107 @ SV476 @ SV216 ) ) ) )
= $false )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5609]) ).
thf(5744,plain,
! [SV476: $i,SV216: $i,SV656: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV656 ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV656 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SV656 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SV656 ) ) )
= $true )
| ( ( SV216 = SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5610]) ).
thf(5745,plain,
! [SV479: $i,SV616: $i,SV221: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
= $true )
| ( ( SV221 = SV479 )
= $true )
| ( ( SV616 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5611]) ).
thf(5746,plain,
! [SV617: $i,SV654: $i,SV224: $i,SV481: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5612]) ).
thf(5747,plain,
! [SV619: $i,SV485: $i,SV228: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5615]) ).
thf(5748,plain,
! [SV228: $i,SV485: $i,SV619: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5616]) ).
thf(5749,plain,
! [SV620: $i,SV486: $i,SV229: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV229 @ SV486 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV486 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV620 @ SV229 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV620 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV620 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV486 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5617]) ).
thf(5750,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
= $true )
| ( ( SV231 = SV488 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5618]) ).
thf(5751,plain,
! [SV621: $i,SV488: $i,SV231: $i] :
( ( ( SV231 != SV488 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5619]) ).
thf(5752,plain,
! [SV622: $i,SV489: $i,SV232: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5620]) ).
thf(5753,plain,
! [SV232: $i,SV622: $i,SV489: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5620]) ).
thf(5754,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5621]) ).
thf(5755,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5622]) ).
thf(5756,plain,
! [SV623: $i,SV492: $i,SV235: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV235 @ SV492 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV492 @ SV623 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV235 @ SV623 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV623 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV623 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV492 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5623]) ).
thf(5757,plain,
! [SV493: $i,SV236: $i,SV624: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV624 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ SV493 ) @ SV624 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV236 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV493 @ SV624 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV493 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV624 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV493 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5624]) ).
thf(5758,plain,
! [SV237: $i,SV625: $i,SV494: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV494 @ SV625 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV237 @ SV625 ) )
= $true )
| ( ( SV237 = SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV625 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV494 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV237 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5625]) ).
thf(5759,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5626]) ).
thf(5760,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5627]) ).
thf(5761,plain,
! [SV303: $i,SV240: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK5_SY1022 @ SV240 @ SV303 ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5628]) ).
thf(5762,plain,
! [SV240: $i,SV303: $i] :
( ( ( SV303
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ ( sK5_SY1022 @ SV240 @ SV303 ) @ SV240 ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5629]) ).
thf(5763,plain,
! [SV240: $i,SV303: $i,SV643: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV643 )
= $false )
| ( ( SV303
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV643 @ SV240 ) )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5630]) ).
thf(5764,plain,
! [SV498: $i,SV243: $i,SV626: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV626 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV498 @ SV626 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV243 @ SV498 ) @ SV626 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV498 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV626 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV498 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5634]) ).
thf(5765,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5635]) ).
thf(5766,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5636]) ).
thf(5767,plain,
! [SV245: $i,SV627: $i,SV500: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5637]) ).
thf(5768,plain,
! [SV500: $i,SV245: $i,SV627: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5637]) ).
thf(5769,plain,
! [SV628: $i,SV502: $i,SV247: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5638]) ).
thf(5770,plain,
! [SV502: $i,SV247: $i,SV628: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5639]) ).
thf(5771,plain,
! [SV630: $i,SV508: $i,SV253: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV253 @ SV508 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV253 @ SV630 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV508 @ SV630 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV630 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV630 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV508 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5640]) ).
thf(5772,plain,
! [SV267: $i,SV631: $i,SV518: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV518 @ SV631 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV631 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV267 @ SV518 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV631 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV518 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5641]) ).
thf(5773,plain,
! [SV521: $i,SV270: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5642]) ).
thf(5774,plain,
! [SV521: $i,SV270: $i] :
( ( ( SV270 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eshiftl___24a2 @ SV270 @ SV521 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV521 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV521 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5643]) ).
thf(5775,plain,
! [SV523: $i,SV273: $i,SV634: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV634 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV273 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV634 @ SV523 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV273 @ SV523 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV634 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV523 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5644]) ).
thf(5776,plain,
! [SV275: $i,SV635: $i,SV525: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV525 @ SV635 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV275 @ SV635 ) )
= $true )
| ( ( SV275 = SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV635 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV525 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5645]) ).
thf(5777,plain,
! [SV530: $i,SV636: $i,SV282: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV282 @ SV636 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV530 @ SV636 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV282 @ SV530 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV636 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV636 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV530 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5646]) ).
thf(5778,plain,
! [SV655: $i,SV531: $i,SV637: $i,SV283: $i] :
( ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5647]) ).
thf(5779,plain,
! [SV638: $i,SV532: $i,SV284: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV284 @ SV532 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV284 @ SV638 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV532 @ SV638 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV638 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV638 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV532 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5648]) ).
thf(5780,plain,
! [SV288: $i,SV639: $i,SV535: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV535 @ SV639 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV639 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV288 @ SV535 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV639 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV535 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5651]) ).
thf(5781,plain,
! [SV294: $i,SV640: $i,SV538: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV538 @ SV640 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV640 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV294 @ SV538 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV640 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV538 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5652]) ).
thf(5782,plain,
! [SV297: $i,SV641: $i,SV541: $i] :
( ( ( SV541 != SV641 )
= $false )
| ( ( SV297 != SV641 )
= $true )
| ( ( SV297 = SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5653]) ).
thf(5783,plain,
! [SV546: $i,SV309: $i,SV4: $i] :
( ( ( SV4
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV309 @ SV546 ) )
= $false )
| ( ( SV546
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV4 @ SV309 ) )
= $true )
| ( ( SV309 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV546 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV309 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5655]) ).
thf(5784,plain,
! [SV548: $i,SV314: $i,SV9: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5657]) ).
thf(5785,plain,
! [SV314: $i,SV548: $i,SV9: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV9 @ SV548 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV314 @ SV548 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV9 @ SV314 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV548 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV314 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5658]) ).
thf(5786,plain,
! [SV549: $i,SV320: $i,SV18: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5659]) ).
thf(5787,plain,
! [SV320: $i,SV549: $i,SV18: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV18 @ SV549 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV320 @ SV549 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV18 @ SV320 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV549 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV320 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5660]) ).
thf(5788,plain,
! [SV551: $i,SV323: $i,SV21: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5661]) ).
thf(5789,plain,
! [SV323: $i,SV551: $i,SV21: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5662]) ).
thf(5790,plain,
! [SV561: $i,SV335: $i,SV34: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5666]) ).
thf(5791,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5667]) ).
thf(5792,plain,
! [SV337: $i,SV38: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) ) )
= $true )
| ( ( SV337 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5668]) ).
thf(5793,plain,
! [SV38: $i,SV337: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV337 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV38 @ SV337 ) ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( SV337 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV38 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV337 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5669]) ).
thf(5794,plain,
! [SV43: $i,SV563: $i,SV341: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5670]) ).
thf(5795,plain,
! [SV563: $i,SV43: $i,SV341: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5671]) ).
thf(5796,plain,
! [SV644: $i,SV566: $i,SV351: $i,SV54: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV644 @ SV54 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SV644 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV644 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5676]) ).
thf(5797,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5679]) ).
thf(5798,plain,
! [SV59: $i,SV355: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5679]) ).
thf(5799,plain,
! [SV355: $i,SV59: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5680]) ).
thf(5800,plain,
! [SV59: $i,SV355: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5680]) ).
thf(5801,plain,
! [SV63: $i,SV359: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) ) )
= $true )
| ( ( SV359 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5681]) ).
thf(5802,plain,
! [SV63: $i,SV359: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV359 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV63 @ SV359 ) ) @ SV63 ) )
= $true )
| ( ( SV359 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV63 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV359 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5682]) ).
thf(5803,plain,
! [SV645: $i,SV568: $i,SV361: $i,SV65: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV645 @ SV361 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SV645 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV645 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5683]) ).
thf(5804,plain,
! [SV362: $i,SV569: $i,SV66: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
= $false )
| ( ( SV66 = SV362 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5684]) ).
thf(5805,plain,
! [SV569: $i,SV362: $i,SV66: $i] :
( ( ( SV66 = SV362 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV66 @ SV569 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV362 @ SV569 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV569 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV362 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5685]) ).
thf(5806,plain,
! [SV68: $i,SV570: $i,SV364: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5686]) ).
thf(5807,plain,
! [SV570: $i,SV364: $i,SV68: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5687]) ).
thf(5808,plain,
! [SV646: $i,SV571: $i,SV365: $i,SV70: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SV646 ) ) )
= $false )
| ( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SV646 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV646 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5688]) ).
thf(5809,plain,
! [SV573: $i,SV369: $i,SV75: $i] :
( ( ( SV75 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV75
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5689]) ).
thf(5810,plain,
! [SV376: $i,SV82: $i,SV574: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV82 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV574 @ SV376 ) )
= $false )
| ( ( SV82 = SV376 )
= $true )
| ( ( SV574 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV574 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV376 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5690]) ).
thf(5811,plain,
! [SV384: $i,SV94: $i,SV578: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5694]) ).
thf(5812,plain,
! [SV99: $i,SV579: $i,SV387: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5695]) ).
thf(5813,plain,
! [SV387: $i,SV579: $i,SV99: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5696]) ).
thf(5814,plain,
! [SV581: $i,SV392: $i,SV105: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5697]) ).
thf(5815,plain,
! [SV105: $i,SV392: $i,SV581: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5698]) ).
thf(5816,plain,
! [SV395: $i,SV109: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
= $true )
| ( ( SV109 = SV395 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5699]) ).
thf(5817,plain,
! [SV395: $i,SV109: $i] :
( ( ( SV109 != SV395 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5700]) ).
thf(5818,plain,
! [SV110: $i,SV396: $i] :
( ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV396 @ SV110 )
= $false )
| ( ( SV110 = SV396 )
= $true )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV110 @ SV396 )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV396 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV110 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV396 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5701]) ).
thf(5819,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5705]) ).
thf(5820,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5705]) ).
thf(5821,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5706]) ).
thf(5822,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5707]) ).
thf(5823,plain,
! [SV647: $i,SV412: $i,SV588: $i,SV130: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5711]) ).
thf(5824,plain,
! [SV648: $i,SV590: $i,SV414: $i,SV132: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5713]) ).
thf(5825,plain,
! [SV591: $i,SV415: $i,SV134: $i] :
( ( ( SV134
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV415 @ SV591 ) )
= $false )
| ( ( SV591
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2equot___24a2 @ SV134 @ SV415 ) )
= $true )
| ( ( SV415 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV591 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV415 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5714]) ).
thf(5826,plain,
! [SV596: $i,SV422: $i,SV142: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5716]) ).
thf(5827,plain,
! [SV650: $i,SV428: $i,SV598: $i,SV151: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5717]) ).
thf(5828,plain,
! [SV158: $i,SV600: $i,SV432: $i] :
( ( ( SV432 = SV600 )
= $false )
| ( ( SV158 != SV600 )
= $true )
| ( ( SV158 = SV432 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5718]) ).
thf(5829,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5719]) ).
thf(5830,plain,
! [SV161: $i,SV434: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5719]) ).
thf(5831,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5720]) ).
thf(5832,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5721]) ).
thf(5833,plain,
! [SV651: $i,SV605: $i,SV440: $i,SV171: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5725]) ).
thf(5834,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5727]) ).
thf(5835,plain,
! [SV445: $i,SV177: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK6_SY1096 @ SV177 @ SV445 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5728]) ).
thf(5836,plain,
! [SV609: $i,SV652: $i,SV185: $i,SV450: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5730]) ).
thf(5837,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5731]) ).
thf(5838,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5732]) ).
thf(5839,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5733]) ).
thf(5840,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ~ ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) ) )
= $false )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5734]) ).
thf(5841,plain,
! [SV610: $i,SV454: $i,SV189: $i] :
( ( ( ~ ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) ) )
= $false )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5734]) ).
thf(5842,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5737]) ).
thf(5843,plain,
! [SV462: $i,SV198: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5738]) ).
thf(5844,plain,
! [SV653: $i,SV614: $i,SV468: $i,SV207: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SV653 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SV653 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV653 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5739]) ).
thf(5845,plain,
! [SV472: $i,SV211: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
= $true )
| ( ( SV211 = SV472 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5740]) ).
thf(5846,plain,
! [SV472: $i,SV211: $i] :
( ( ( SV211 != SV472 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5741]) ).
thf(5847,plain,
! [SV216: $i,SV476: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK7_SY1107 @ SV476 @ SV216 ) )
= $true )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5742]) ).
thf(5848,plain,
! [SV216: $i,SV476: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK7_SY1107 @ SV476 @ SV216 ) ) ) )
= $false )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5743]) ).
thf(5849,plain,
! [SV476: $i,SV216: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ ( sK7_SY1107 @ SV476 @ SV216 ) )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ ( sK7_SY1107 @ SV476 @ SV216 ) ) )
= $false )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5743]) ).
thf(5850,plain,
! [SV476: $i,SV216: $i,SV656: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV656 )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV656 ) )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SV656 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SV656 ) ) )
= $true )
| ( ( SV216 = SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5744]) ).
thf(5851,plain,
! [SV479: $i,SV616: $i,SV221: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV221 @ SV616 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV479 @ SV616 ) )
= $false )
| ( ( SV221 = SV479 )
= $true )
| ( ( SV616 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV616 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV479 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5745]) ).
thf(5852,plain,
! [SV617: $i,SV654: $i,SV224: $i,SV481: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5746]) ).
thf(5853,plain,
! [SV619: $i,SV485: $i,SV228: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5747]) ).
thf(5854,plain,
! [SV228: $i,SV485: $i,SV619: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV485 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV619 @ SV228 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV228 @ SV485 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV619 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV485 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5748]) ).
thf(5855,plain,
! [SV488: $i,SV231: $i,SV621: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
= $false )
| ( ( SV231 = SV488 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5750]) ).
thf(5856,plain,
! [SV621: $i,SV488: $i,SV231: $i] :
( ( ( SV231 = SV488 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV231 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV621 @ SV488 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV621 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV488 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5751]) ).
thf(5857,plain,
! [SV622: $i,SV489: $i,SV232: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5752]) ).
thf(5858,plain,
! [SV232: $i,SV622: $i,SV489: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5753]) ).
thf(5859,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5754]) ).
thf(5860,plain,
! [SV234: $i,SV491: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5754]) ).
thf(5861,plain,
! [SV491: $i,SV234: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5755]) ).
thf(5862,plain,
! [SV234: $i,SV491: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5755]) ).
thf(5863,plain,
! [SV495: $i,SV238: $i] :
( ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5759]) ).
thf(5864,plain,
! [SV495: $i,SV238: $i] :
( ( ( ~ ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5760]) ).
thf(5865,plain,
! [SV238: $i,SV495: $i] :
( ( ( ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5760]) ).
thf(5866,plain,
! [SV240: $i,SV643: $i,SV303: $i] :
( ( ( SV303
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV643 @ SV240 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV643 )
= $false )
| ( ( cCoq_2eZArith_2eBinInt_2eZ_2edivide___24a2 @ SV240 @ SV303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5763]) ).
thf(5867,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5765]) ).
thf(5868,plain,
! [SV244: $i,SV499: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5766]) ).
thf(5869,plain,
! [SV245: $i,SV627: $i,SV500: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5767]) ).
thf(5870,plain,
! [SV500: $i,SV245: $i,SV627: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5768]) ).
thf(5871,plain,
! [SV628: $i,SV502: $i,SV247: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5769]) ).
thf(5872,plain,
! [SV502: $i,SV247: $i,SV628: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV247 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV628 @ SV502 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV247 @ SV502 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV628 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV502 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5770]) ).
thf(5873,plain,
! [SV655: $i,SV531: $i,SV637: $i,SV283: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5778]) ).
thf(5874,plain,
! [SV297: $i,SV641: $i,SV541: $i] :
( ( ( SV541 = SV641 )
= $true )
| ( ( SV297 != SV641 )
= $true )
| ( ( SV297 = SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5782]) ).
thf(5875,plain,
! [SV551: $i,SV323: $i,SV21: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5788]) ).
thf(5876,plain,
! [SV323: $i,SV551: $i,SV21: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5789]) ).
thf(5877,plain,
! [SV561: $i,SV335: $i,SV34: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5790]) ).
thf(5878,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5791]) ).
thf(5879,plain,
! [SV43: $i,SV563: $i,SV341: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5794]) ).
thf(5880,plain,
! [SV563: $i,SV43: $i,SV341: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5795]) ).
thf(5881,plain,
! [SV54: $i,SV644: $i,SV351: $i,SV566: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV644 @ SV54 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SV644 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV644 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5796]) ).
thf(5882,plain,
! [SV355: $i,SV59: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5797]) ).
thf(5883,plain,
! [SV59: $i,SV355: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV59 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5798]) ).
thf(5884,plain,
! [SV355: $i,SV59: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV59 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5799]) ).
thf(5885,plain,
! [SV59: $i,SV355: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV355 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV355 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV59 @ SV355 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV355 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5800]) ).
thf(5886,plain,
! [SV361: $i,SV645: $i,SV65: $i,SV568: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV645 @ SV361 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SV645 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV645 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5803]) ).
thf(5887,plain,
! [SV68: $i,SV570: $i,SV364: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5806]) ).
thf(5888,plain,
! [SV570: $i,SV364: $i,SV68: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5807]) ).
thf(5889,plain,
! [SV646: $i,SV365: $i,SV571: $i,SV70: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV70 @ SV571 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV365 @ SV646 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV70 @ SV365 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV571 @ SV646 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV646 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV571 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV365 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5808]) ).
thf(5890,plain,
! [SV573: $i,SV369: $i,SV75: $i] :
( ( ( SV75 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV369 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV75
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV369 @ SV573 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2egt___24a2 @ SV573 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV573 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV369 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5809]) ).
thf(5891,plain,
! [SV384: $i,SV94: $i,SV578: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV578 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ SV94 @ SV384 ) ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2ediv___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV578 @ SV94 ) @ SV384 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV384 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV94 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV578 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV384 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5811]) ).
thf(5892,plain,
! [SV99: $i,SV579: $i,SV387: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5812]) ).
thf(5893,plain,
! [SV387: $i,SV579: $i,SV99: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5813]) ).
thf(5894,plain,
! [SV581: $i,SV392: $i,SV105: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5814]) ).
thf(5895,plain,
! [SV105: $i,SV392: $i,SV581: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5815]) ).
thf(5896,plain,
! [SV395: $i,SV109: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
= $false )
| ( ( SV109 = SV395 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5816]) ).
thf(5897,plain,
! [SV395: $i,SV109: $i] :
( ( ( SV109 = SV395 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV109 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__nat___24a1 @ SV395 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV395 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV109 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV395 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5817]) ).
thf(5898,plain,
! [SV403: $i,SV117: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5819]) ).
thf(5899,plain,
! [SV117: $i,SV403: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5820]) ).
thf(5900,plain,
! [SV403: $i,SV117: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5821]) ).
thf(5901,plain,
! [SV117: $i,SV403: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5822]) ).
thf(5902,plain,
! [SV588: $i,SV130: $i,SV647: $i,SV412: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5823]) ).
thf(5903,plain,
! [SV648: $i,SV590: $i,SV414: $i,SV132: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5824]) ).
thf(5904,plain,
! [SV596: $i,SV422: $i,SV142: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV142 @ SV422 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV142 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV142 @ SV596 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2epow___24a2 @ SV422 @ SV596 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV596 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV422 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5826]) ).
thf(5905,plain,
! [SV650: $i,SV428: $i,SV598: $i,SV151: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5827]) ).
thf(5906,plain,
! [SV432: $i,SV600: $i,SV158: $i] :
( ( ( SV158 = SV600 )
= $false )
| ( ( SV432 = SV600 )
= $false )
| ( ( SV158 = SV432 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV600 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV432 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5828]) ).
thf(5907,plain,
! [SV434: $i,SV161: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5829]) ).
thf(5908,plain,
! [SV161: $i,SV434: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5830]) ).
thf(5909,plain,
! [SV434: $i,SV161: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5831]) ).
thf(5910,plain,
! [SV434: $i,SV161: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5832]) ).
thf(5911,plain,
! [SV651: $i,SV605: $i,SV440: $i,SV171: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5833]) ).
thf(5912,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) )
| ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5834]) ).
thf(5913,plain,
! [SV609: $i,SV652: $i,SV450: $i,SV185: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5836]) ).
thf(5914,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5837]) ).
thf(5915,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5838]) ).
thf(5916,plain,
! [SV453: $i,SV188: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5839]) ).
thf(5917,plain,
! [SV188: $i,SV453: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5839]) ).
thf(5918,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
| ( SV189 = SV454 ) )
= $true )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5840]) ).
thf(5919,plain,
! [SV610: $i,SV454: $i,SV189: $i] :
( ( ( ( SV189 != SV454 )
| ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) ) )
= $true )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5841]) ).
thf(5920,plain,
! [SV462: $i,SV198: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5842]) ).
thf(5921,plain,
! [SV462: $i,SV198: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinInt_2eZ_2esqrt__up___24a1 @ SV198 ) @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV198 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV462 @ SV462 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV462 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV198 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV462 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5843]) ).
thf(5922,plain,
! [SV468: $i,SV207: $i,SV653: $i,SV614: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SV653 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SV653 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV653 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5844]) ).
thf(5923,plain,
! [SV472: $i,SV211: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
= $false )
| ( ( SV211 = SV472 )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5845]) ).
thf(5924,plain,
! [SV472: $i,SV211: $i] :
( ( ( SV211 = SV472 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV211 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eto__N___24a1 @ SV472 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV472 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV211 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV472 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5846]) ).
thf(5925,plain,
! [SV216: $i,SV476: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( sK7_SY1107 @ SV476 @ SV216 ) ) )
= $true )
| ( ( SV216 = SV476 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5848]) ).
thf(5926,plain,
! [SV476: $i,SV216: $i,SV656: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV656 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SV656 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SV656 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV656 )
= $false )
| ( ( SV216 = SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5850]) ).
thf(5927,plain,
! [SV617: $i,SV654: $i,SV481: $i,SV224: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5852]) ).
thf(5928,plain,
! [SV622: $i,SV489: $i,SV232: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5857]) ).
thf(5929,plain,
! [SV232: $i,SV622: $i,SV489: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5858]) ).
thf(5930,plain,
! [SV491: $i,SV234: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5859]) ).
thf(5931,plain,
! [SV234: $i,SV491: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV234 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5860]) ).
thf(5932,plain,
! [SV491: $i,SV234: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV234 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5861]) ).
thf(5933,plain,
! [SV234: $i,SV491: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV491 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV491 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV234 @ SV491 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV491 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV234 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5862]) ).
thf(5934,plain,
! [SV495: $i,SV238: $i] :
( ( ( SV238 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ~ ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5863]) ).
thf(5935,plain,
! [SV495: $i,SV238: $i] :
( ( ( SV238 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5864]) ).
thf(5936,plain,
! [SV238: $i,SV495: $i] :
( ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5865]) ).
thf(5937,plain,
! [SV244: $i,SV499: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5867]) ).
thf(5938,plain,
! [SV244: $i,SV499: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV499 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esqrt___24a1 @ SV244 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV499 @ SV499 ) @ SV244 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV499 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV244 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV499 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5868]) ).
thf(5939,plain,
! [SV245: $i,SV627: $i,SV500: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5869]) ).
thf(5940,plain,
! [SV500: $i,SV245: $i,SV627: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5870]) ).
thf(5941,plain,
! [SV655: $i,SV531: $i,SV637: $i,SV283: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5873]) ).
thf(5942,plain,
! [SV541: $i,SV641: $i,SV297: $i] :
( ( ( SV297 = SV641 )
= $false )
| ( ( SV541 = SV641 )
= $true )
| ( ( SV297 = SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV641 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV541 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5874]) ).
thf(5943,plain,
! [SV551: $i,SV323: $i,SV21: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5875]) ).
thf(5944,plain,
! [SV323: $i,SV551: $i,SV21: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV21 @ SV551 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV323 @ SV551 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV21 @ SV323 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV551 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV551 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV323 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5876]) ).
thf(5945,plain,
! [SV561: $i,SV335: $i,SV34: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5877]) ).
thf(5946,plain,
! [SV335: $i,SV34: $i,SV561: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV34 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV561 @ SV335 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV34 @ SV335 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV561 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV561 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV335 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5878]) ).
thf(5947,plain,
! [SV43: $i,SV563: $i,SV341: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5879]) ).
thf(5948,plain,
! [SV563: $i,SV43: $i,SV341: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV341 @ SV43 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV563 @ SV43 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV341 @ SV563 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV43 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV563 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV341 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5880]) ).
thf(5949,plain,
! [SV54: $i,SV644: $i,SV351: $i,SV566: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV566 @ SV351 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV644 @ SV54 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV566 @ SV644 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV54 @ SV351 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV644 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV566 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV351 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5881]) ).
thf(5950,plain,
! [SV361: $i,SV645: $i,SV65: $i,SV568: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV568 @ SV65 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2esub___24a2 @ SV645 @ SV361 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV568 @ SV645 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV65 @ SV361 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV645 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV568 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV361 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5886]) ).
thf(5951,plain,
! [SV68: $i,SV570: $i,SV364: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5887]) ).
thf(5952,plain,
! [SV570: $i,SV364: $i,SV68: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV364 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV68 @ SV570 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV364 @ SV570 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV68 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV570 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV364 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5888]) ).
thf(5953,plain,
! [SV99: $i,SV579: $i,SV387: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5892]) ).
thf(5954,plain,
! [SV387: $i,SV579: $i,SV99: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV579 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV99 @ SV387 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV387 @ SV579 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV99 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV579 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV387 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5893]) ).
thf(5955,plain,
! [SV581: $i,SV392: $i,SV105: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5894]) ).
thf(5956,plain,
! [SV105: $i,SV392: $i,SV581: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV392 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV581 @ SV105 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV105 @ SV392 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV581 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV581 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV392 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5895]) ).
thf(5957,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5898]) ).
thf(5958,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5899]) ).
thf(5959,plain,
! [SV117: $i,SV403: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5900]) ).
thf(5960,plain,
! [SV403: $i,SV117: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5901]) ).
thf(5961,plain,
! [SV588: $i,SV130: $i,SV647: $i,SV412: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5902]) ).
thf(5962,plain,
! [SV648: $i,SV590: $i,SV414: $i,SV132: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5903]) ).
thf(5963,plain,
! [SV650: $i,SV428: $i,SV598: $i,SV151: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5905]) ).
thf(5964,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5907]) ).
thf(5965,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5908]) ).
thf(5966,plain,
! [SV161: $i,SV434: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5909]) ).
thf(5967,plain,
! [SV161: $i,SV434: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5910]) ).
thf(5968,plain,
! [SV651: $i,SV605: $i,SV440: $i,SV171: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5911]) ).
thf(5969,plain,
! [SV445: $i,SV177: $i] :
( ( ( ~ ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5912]) ).
thf(5970,plain,
! [SV177: $i,SV445: $i] :
( ( ( SV445
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5912]) ).
thf(5971,plain,
! [SV609: $i,SV652: $i,SV450: $i,SV185: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5913]) ).
thf(5972,plain,
! [SV453: $i,SV188: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5914]) ).
thf(5973,plain,
! [SV188: $i,SV453: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5915]) ).
thf(5974,plain,
! [SV453: $i,SV188: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5916]) ).
thf(5975,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5917]) ).
thf(5976,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
!= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
= $true )
| ( ( SV189 = SV454 )
= $true )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5918]) ).
thf(5977,plain,
! [SV610: $i,SV454: $i,SV189: $i] :
( ( ( SV189 != SV454 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
= $true )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5919]) ).
thf(5978,plain,
! [SV468: $i,SV207: $i,SV653: $i,SV614: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV614 @ SV653 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV207 @ SV614 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ SV468 @ SV653 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV207 @ SV468 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV653 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV614 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV468 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5922]) ).
thf(5979,plain,
! [SV476: $i,SV216: $i,SV656: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV656 ) )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV216 @ SV656 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2etestbit___24a2 @ SV476 @ SV656 ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV656 )
= $false )
| ( ( SV216 = SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV476 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5926]) ).
thf(5980,plain,
! [SV617: $i,SV654: $i,SV481: $i,SV224: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5927]) ).
thf(5981,plain,
! [SV622: $i,SV489: $i,SV232: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5928]) ).
thf(5982,plain,
! [SV232: $i,SV622: $i,SV489: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV489 @ SV622 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV232 @ SV622 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV232 @ SV489 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV622 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV622 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV489 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5929]) ).
thf(5983,plain,
! [SV238: $i,SV495: $i] :
( ( ( SV495 != cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV238 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5934]) ).
thf(5984,plain,
! [SV495: $i,SV238: $i] :
( ( ( SV238 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5935]) ).
thf(5985,plain,
! [SV238: $i,SV495: $i] :
( ( ( SV495 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5936]) ).
thf(5986,plain,
! [SV245: $i,SV627: $i,SV500: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5939]) ).
thf(5987,plain,
! [SV500: $i,SV245: $i,SV627: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV627 @ SV245 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV500 @ SV245 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV500 @ SV627 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV245 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV627 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV500 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5940]) ).
thf(5988,plain,
! [SV655: $i,SV531: $i,SV637: $i,SV283: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5941]) ).
thf(5989,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5957]) ).
thf(5990,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5957]) ).
thf(5991,plain,
! [SV117: $i,SV403: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5958]) ).
thf(5992,plain,
! [SV403: $i,SV117: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5958]) ).
thf(5993,plain,
! [SV647: $i,SV588: $i,SV412: $i,SV130: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5961]) ).
thf(5994,plain,
! [SV414: $i,SV132: $i,SV648: $i,SV590: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5962]) ).
thf(5995,plain,
! [SV650: $i,SV428: $i,SV598: $i,SV151: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5963]) ).
thf(5996,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5964]) ).
thf(5997,plain,
! [SV161: $i,SV434: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5964]) ).
thf(5998,plain,
! [SV434: $i,SV161: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5965]) ).
thf(5999,plain,
! [SV161: $i,SV434: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5965]) ).
thf(6000,plain,
! [SV440: $i,SV171: $i,SV651: $i,SV605: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5968]) ).
thf(6001,plain,
! [SV445: $i,SV177: $i] :
( ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ ( sK6_SY1096 @ SV177 @ SV445 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5969]) ).
thf(6002,plain,
! [SV177: $i,SV445: $i] :
( ( ( SV445
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2eadd___24a2 @ ( sK6_SY1096 @ SV177 @ SV445 ) @ SV177 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV177 @ SV445 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV445 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5970]) ).
thf(6003,plain,
! [SV185: $i,SV450: $i,SV609: $i,SV652: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5971]) ).
thf(6004,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5974]) ).
thf(6005,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5975]) ).
thf(6006,plain,
! [SV453: $i,SV188: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5975]) ).
thf(6007,plain,
! [SV454: $i,SV189: $i,SV610: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
= $false )
| ( ( SV189 = SV454 )
= $true )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5976]) ).
thf(6008,plain,
! [SV610: $i,SV454: $i,SV189: $i] :
( ( ( SV189 = SV454 )
= $false )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV189 )
= ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV610 @ SV454 ) )
= $true )
| ( ( SV610 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV610 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV454 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5977]) ).
thf(6009,plain,
! [SV224: $i,SV481: $i,SV617: $i,SV654: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5980]) ).
thf(6010,plain,
! [SV238: $i,SV495: $i] :
( ( ( SV495 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV238 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
!= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5983]) ).
thf(6011,plain,
! [SV655: $i,SV531: $i,SV637: $i,SV283: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5988]) ).
thf(6012,plain,
! [SV117: $i,SV403: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5989]) ).
thf(6013,plain,
! [SV403: $i,SV117: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV117 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5990]) ).
thf(6014,plain,
! [SV117: $i,SV403: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV403 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5991]) ).
thf(6015,plain,
! [SV403: $i,SV117: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV117 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV403 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV117 @ SV403 ) ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV403 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5992]) ).
thf(6016,plain,
! [SV647: $i,SV588: $i,SV412: $i,SV130: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5993]) ).
thf(6017,plain,
! [SV414: $i,SV132: $i,SV648: $i,SV590: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5994]) ).
thf(6018,plain,
! [SV650: $i,SV428: $i,SV598: $i,SV151: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5995]) ).
thf(6019,plain,
! [SV434: $i,SV161: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5996]) ).
thf(6020,plain,
! [SV161: $i,SV434: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV161 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5997]) ).
thf(6021,plain,
! [SV434: $i,SV161: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV161 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5998]) ).
thf(6022,plain,
! [SV161: $i,SV434: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV434 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV434 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV161 @ SV434 ) @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV434 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5999]) ).
thf(6023,plain,
! [SV440: $i,SV171: $i,SV651: $i,SV605: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6000]) ).
thf(6024,plain,
! [SV185: $i,SV450: $i,SV609: $i,SV652: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6003]) ).
thf(6025,plain,
! [SV188: $i,SV453: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6004]) ).
thf(6026,plain,
! [SV453: $i,SV188: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6004]) ).
thf(6027,plain,
! [SV188: $i,SV453: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6005]) ).
thf(6028,plain,
! [SV224: $i,SV481: $i,SV617: $i,SV654: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6009]) ).
thf(6029,plain,
! [SV495: $i,SV238: $i] :
( ( ( ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV238 @ SV495 )
= cCoq_2eNumbers_2eBinNums_2eZ0 )
= $false )
| ( ( SV238 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( SV495 = cCoq_2eNumbers_2eBinNums_2eZ0 )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV495 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6010]) ).
thf(6030,plain,
! [SV655: $i,SV531: $i,SV637: $i,SV283: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
| ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6011]) ).
thf(6031,plain,
! [SV647: $i,SV588: $i,SV130: $i,SV412: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6016]) ).
thf(6032,plain,
! [SV414: $i,SV132: $i,SV648: $i,SV590: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6017]) ).
thf(6033,plain,
! [SV598: $i,SV151: $i,SV650: $i,SV428: $i] :
( ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6018]) ).
thf(6034,plain,
! [SV440: $i,SV171: $i,SV651: $i,SV605: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6023]) ).
thf(6035,plain,
! [SV185: $i,SV450: $i,SV652: $i,SV609: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6024]) ).
thf(6036,plain,
! [SV188: $i,SV453: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV453 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV188 ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2elxor___24a2 @ SV188 @ SV453 ) ) )
= $true )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV453 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6025]) ).
thf(6037,plain,
! [SV224: $i,SV481: $i,SV654: $i,SV617: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6028]) ).
thf(6038,plain,
! [SV637: $i,SV283: $i,SV655: $i,SV531: $i] :
( ( ( ~ ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6030]) ).
thf(6039,plain,
! [SV647: $i,SV588: $i,SV130: $i,SV412: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV412 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV130 @ SV412 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV588 @ SV647 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV130 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV412 @ SV647 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV130 @ SV588 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV647 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV588 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV412 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6031]) ).
thf(6040,plain,
! [SV414: $i,SV132: $i,SV648: $i,SV590: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV590 @ SV648 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV132 @ SV590 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV414 @ SV648 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV590 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV132 @ SV414 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV132 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV648 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV590 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV414 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6032]) ).
thf(6041,plain,
! [SV598: $i,SV151: $i,SV650: $i,SV428: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6033]) ).
thf(6042,plain,
! [SV440: $i,SV171: $i,SV651: $i,SV605: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV605 @ SV651 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV171 @ SV605 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV440 @ SV651 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV605 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV171 @ SV440 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV171 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV651 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV605 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV440 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6034]) ).
thf(6043,plain,
! [SV185: $i,SV450: $i,SV652: $i,SV609: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV609 @ SV652 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV450 @ SV652 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV185 @ SV609 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV652 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV185 @ SV450 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV450 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV652 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV609 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV450 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6035]) ).
thf(6044,plain,
! [SV224: $i,SV481: $i,SV654: $i,SV617: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV617 @ SV654 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV481 @ SV654 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV224 @ SV617 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV654 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV224 @ SV481 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV481 @ cCoq_2eNumbers_2eBinNums_2eZ0 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV654 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV617 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV481 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6037]) ).
thf(6045,plain,
! [SV637: $i,SV283: $i,SV655: $i,SV531: $i] :
( ( ( ~ ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6038]) ).
thf(6046,plain,
! [SV598: $i,SV151: $i,SV650: $i,SV428: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6041]) ).
thf(6047,plain,
! [SV637: $i,SV283: $i,SV655: $i,SV531: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
| ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6045]) ).
thf(6048,plain,
! [SV598: $i,SV151: $i,SV650: $i,SV428: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6046]) ).
thf(6049,plain,
! [SV637: $i,SV283: $i,SV655: $i,SV531: $i] :
( ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) ) )
= $true )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6047]) ).
thf(6050,plain,
! [SV598: $i,SV151: $i,SV650: $i,SV428: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6048]) ).
thf(6051,plain,
! [SV637: $i,SV283: $i,SV655: $i,SV531: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
= $false )
| ( ( ~ ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6049]) ).
thf(6052,plain,
! [SV598: $i,SV151: $i,SV650: $i,SV428: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV428 @ SV650 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV428 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV151 @ SV428 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV598 @ SV650 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV151 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ SV151 @ SV598 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV650 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV598 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV428 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6050]) ).
thf(6053,plain,
! [SV637: $i,SV283: $i,SV655: $i,SV531: $i] :
( ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV531 @ SV655 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV531 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV283 @ SV531 ) @ ( cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2 @ SV637 @ SV655 ) ) )
= $true )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2 @ cCoq_2eNumbers_2eBinNums_2eZ0 @ SV283 ) )
= $false )
| ( ( p @ ( cCoq_2eZArith_2eBinInt_2eZ_2elt___24a2 @ SV283 @ SV637 ) )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV655 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV637 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV531 )
= $false )
| ( ( cCoq_2eNumbers_2eBinNums_2eZ___24t @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6051]) ).
thf(6054,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2043,6053,6052,6044,6043,6042,6040,6039,6036,6029,6027,6026,6022,6021,6020,6019,6015,6014,6013,6012,6008,6007,6006,6002,6001,5987,5986,5985,5984,5982,5981,5979,5978,5973,5972,5967,5966,5960,5959,5956,5955,5954,5953,5952,5951,5950,5949,5948,5947,5946,5945,5944,5943,5942,5938,5937,5933,5932,5931,5930,5925,5924,5923,5921,5920,5906,5904,5897,5896,5891,5890,5889,5885,5884,5883,5882,5872,5871,5866,5856,5855,5854,5853,5851,5849,5847,5835,5825,5818,5810,5805,5804,5802,5801,5793,5792,5787,5786,5785,5784,5783,5781,5780,5779,5777,5776,5775,5774,5773,5772,5771,5764,5762,5761,5758,5757,5756,5749,5736,5735,5729,5726,5724,5723,5722,5715,5712,5710,5709,5708,5704,5703,5702,5693,5692,5691,5678,5677,5675,5674,5673,5672,5665,5664,5663,5656,5654,5650,5649,5633,5632,5631,5614,5613,5605,5604,5603,5582,5579,5574,5573,5572,5559,5557,5554,5550,5549,5548,5546,5545,5532,5521,5520,5511,5500,5499,5496,5494,5493,5491,5490,5473,5472,5463,5461,5459,5458,5455,5447,5443,5442,5441,5437,5428,5426,5424,5423,5415,5414,5410,5409,5404,5396,5392,5390,5383,5380,5378,5371,5370,5362,5356,5354,5353,5350,5344,5340,5336,5334,5332,5328,5324,5320,5319,5311,5310,5309,5308,5306,5304,5301,5279,5270,5266,5262,5260,5250,5249,5245,5235,5228,5219,5213,5201,5197,5195,5189,5170,5163,5162,5154,5145,5142,5137,5109,5107,5090,5063,5060,5057,5034,5033,5029,5023,5018,5016,5015,4974,4972,4967,4966,4964,4958,4954,4950,4945,4940,4935,4934,4928,4923,4918,4911,4907,4896,4894,4872,4843,4842,4840,4833,4831,4829,4820,4805,4803,4795,4794,4782,4772,4771,4753,4743,4738,4735,4734,4715,4712,4698,4694,4688,4687,4685,4684,4664,4660,4656,4635,4625,4624,4595,4543,4493,4492,4481,4480,4479,4434,4397,4387,4378,4368,4365,4330,4317,4307,4289,4284,4279,4275,4247,4218,4216,4192,4169,4168,4148,4142,4129,4128,4117,4102,4051,4023,4006,4002,3999,3992,3977,3974,3947,3944,3934,3918,3904,3891,3796,3757,3701,3649,3617,3580,3576,3564,3556,3548,3541,3529,3528,3483,3468,3466,3446,3444,3437,3433,3427,3420,3419,3389,3382,3369,3360,3345,3334,3272,3155,2655,2351,2283,2277,2273,2254,2053]) ).
thf(6055,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[6054]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV606+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n001.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 15:55:39 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 165.73/27.90 ................
% 165.73/27.90
% 165.73/27.90 No.of.Axioms: 308
% 165.73/27.90
% 165.73/27.90 Length.of.Defs: 0
% 165.73/27.90
% 165.73/27.90 Contains.Choice.Funs: false
% 165.73/27.90 ...........................................................................................................................................................................
% 165.73/27.90
% 165.73/27.90 ********************************
% 165.73/27.90 * All subproblems solved! *
% 165.73/27.90 ********************************
% 165.73/27.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:309,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:296,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:6054,loop_count:0,foatp_calls:1,translation:fof_full)
% 165.73/27.90
% 165.73/27.90 %**** Beginning of derivation protocol ****
% 165.73/27.90 % SZS output start CNFRefutation
% See solution above
% 27.86/28.04
% 27.86/28.04 %**** End of derivation protocol ****
% 27.86/28.04 %**** no. of clauses in derivation: 4636 ****
% 27.86/28.04 %**** clause counter: 6054 ****
% 27.86/28.04
% 27.86/28.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:309,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:296,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:6054,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------