%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : NUM925_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 11:50:51 EDT 2023

% Result   : Theorem 66.37s 9.76s
% Output   : Proof 268.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM925_2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 15:26:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.66  ________       _____
% 0.19/0.66  ___  __ \_________(_)________________________________
% 0.19/0.66  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.66  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.66  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.66  
% 0.19/0.66  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.66  (2023-06-19)
% 0.19/0.66  
% 0.19/0.66  (c) Philipp Rümmer, 2009-2023
% 0.19/0.66  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.66                Amanda Stjerna.
% 0.19/0.66  Free software under BSD-3-Clause.
% 0.19/0.66  
% 0.19/0.66  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.66  
% 0.19/0.66  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.67  Running up to 7 provers in parallel.
% 0.19/0.68  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.68  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.68  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.68  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.68  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.68  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.68  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 16.83/3.11  Prover 4: Preprocessing ...
% 16.93/3.18  Prover 1: Preprocessing ...
% 16.93/3.19  Prover 3: Preprocessing ...
% 16.93/3.19  Prover 6: Preprocessing ...
% 17.64/3.26  Prover 5: Preprocessing ...
% 17.64/3.28  Prover 2: Preprocessing ...
% 19.15/3.49  Prover 0: Preprocessing ...
% 55.34/8.25  Prover 3: Warning: ignoring some quantifiers
% 57.21/8.64  Prover 3: Constructing countermodel ...
% 62.72/9.28  Prover 6: Proving ...
% 63.88/9.51  Prover 1: Warning: ignoring some quantifiers
% 65.71/9.73  Prover 1: Constructing countermodel ...
% 66.37/9.75  Prover 3: proved (9075ms)
% 66.37/9.75  
% 66.37/9.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 66.37/9.76  
% 66.37/9.76  Prover 6: stopped
% 66.37/9.76  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 66.37/9.78  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 71.68/10.49  Prover 4: Warning: ignoring some quantifiers
% 73.05/10.76  Prover 4: Constructing countermodel ...
% 77.04/11.22  Prover 7: Preprocessing ...
% 77.04/11.22  Prover 8: Preprocessing ...
% 77.32/11.32  Prover 0: Proving ...
% 77.32/11.32  Prover 0: stopped
% 78.09/11.34  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 86.33/12.57  Prover 10: Preprocessing ...
% 89.83/12.95  Prover 5: Proving ...
% 89.83/12.95  Prover 5: stopped
% 90.32/12.96  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 94.00/13.45  Prover 2: Proving ...
% 94.00/13.45  Prover 2: stopped
% 94.00/13.47  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 97.26/13.89  Prover 8: Warning: ignoring some quantifiers
% 97.26/14.05  Prover 8: Constructing countermodel ...
% 101.93/14.53  Prover 11: Preprocessing ...
% 102.36/14.59  Prover 7: Warning: ignoring some quantifiers
% 102.36/14.61  Prover 10: Warning: ignoring some quantifiers
% 102.36/14.63  Prover 13: Preprocessing ...
% 103.81/14.77  Prover 10: Constructing countermodel ...
% 103.81/14.81  Prover 7: Constructing countermodel ...
% 111.50/16.05  Prover 1: stopped
% 111.50/16.10  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 120.34/16.92  Prover 16: Preprocessing ...
% 120.40/16.92  Prover 11: Warning: ignoring some quantifiers
% 121.72/17.14  Prover 11: Constructing countermodel ...
% 123.50/17.58  Prover 13: Warning: ignoring some quantifiers
% 127.04/17.80  Prover 13: Constructing countermodel ...
% 135.47/18.99  Prover 16: Warning: ignoring some quantifiers
% 138.95/19.42  Prover 16: Constructing countermodel ...
% 148.59/20.95  Prover 16: stopped
% 148.59/21.03  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 156.09/21.86  Prover 19: Preprocessing ...
% 164.37/22.76  Prover 13: stopped
% 175.46/24.24  Prover 19: Warning: ignoring some quantifiers
% 176.83/24.41  Prover 19: Constructing countermodel ...
% 203.00/28.01  Prover 4: stopped
% 223.59/30.72  Prover 19: stopped
% 223.59/30.84  Prover 7: stopped
% 264.69/40.36  Prover 8: Found proof (size 1348)
% 264.69/40.36  Prover 8: proved (30451ms)
% 264.93/40.36  Prover 10: stopped
% 264.93/40.38  Prover 11: stopped
% 264.93/40.38  
% 264.93/40.38  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 264.93/40.38  
% 266.02/41.20  % SZS output start Proof for theBenchmark
% 266.02/41.22  Assumptions after simplification:
% 266.02/41.22  ---------------------------------
% 266.02/41.22  
% 266.02/41.22    (conj_0)
% 266.02/41.25    fun_nat_int(semiri1621563631at_int) & nat(n) & int(pls) & int(zero_zero_int) &
% 266.02/41.25    int(one_one_int) &  ? [v0: fun_int_int] :  ? [v1: int] :  ? [v2: int] :  ?
% 266.02/41.25    [v3: fun_nat_int] :  ? [v4: int] :  ? [v5: int] :  ? [v6: nat] : (bit1(pls) =
% 266.02/41.25      v4 & bit0(v4) = v5 & number_number_of_nat(v5) = v6 & power_power_int(v2) =
% 266.02/41.25      v3 & plus_plus_int(one_one_int) = v0 & hAPP_nat_int(v3, v6) = zero_zero_int
% 266.02/41.25      & hAPP_nat_int(semiri1621563631at_int, n) = v1 & hAPP_int_int(v0, v1) = v2 &
% 266.02/41.25      fun_nat_int(v3) & fun_int_int(v0) & nat(v6) & int(v5) & int(v4) & int(v2) &
% 266.02/41.25      int(v1))
% 266.02/41.25  
% 266.02/41.25    (fact_0_n1pos)
% 266.23/41.25    fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.25    nat(n) & int(zero_zero_int) & int(one_one_int) &  ? [v0: fun_int_bool] :  ?
% 266.23/41.25    [v1: fun_int_int] :  ? [v2: int] :  ? [v3: int] :  ? [v4: bool] :
% 266.23/41.25    (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 266.23/41.25      plus_plus_int(one_one_int) = v1 & hAPP_nat_int(semiri1621563631at_int, n) =
% 266.23/41.25      v2 & hAPP_int_int(v1, v2) = v3 & hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0
% 266.23/41.25      & fun_int_int(v1) & fun_int_bool(v0) & int(v3) & int(v2) & bool(v4))
% 266.23/41.25  
% 266.23/41.25    (fact_106_semiring__numeral__0__eq__0)
% 266.23/41.25    number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 266.23/41.25  
% 266.23/41.25    (fact_109_number__of__Pls)
% 266.23/41.25    number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 266.23/41.25  
% 266.23/41.25    (fact_10_zero__eq__power2)
% 266.23/41.25    int(pls) & int(zero_zero_int) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :
% 266.23/41.25    (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 266.23/41.25      int(v1) & int(v0) &  ! [v3: int] :  ! [v4: fun_nat_int] : (v3 =
% 266.23/41.25        zero_zero_int |  ~ (power_power_int(v3) = v4) |  ~ int(v3) |  ? [v5: int]
% 266.23/41.25        : ( ~ (v5 = zero_zero_int) & hAPP_nat_int(v4, v2) = v5 & int(v5))) &  !
% 266.23/41.25      [v3: fun_nat_int] : ( ~ (power_power_int(zero_zero_int) = v3) |
% 266.23/41.25        hAPP_nat_int(v3, v2) = zero_zero_int))
% 266.23/41.25  
% 266.23/41.25    (fact_111_semiring__norm_I112_J)
% 266.23/41.25    number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 266.23/41.25  
% 266.23/41.25    (fact_113_add__numeral__0)
% 266.23/41.25    int(pls) &  ? [v0: int] :  ? [v1: fun_int_int] : (number_number_of_int(pls) =
% 266.23/41.25      v0 & plus_plus_int(v0) = v1 & fun_int_int(v1) & int(v0) &  ! [v2: int] :  !
% 266.23/41.25      [v3: int] : (v3 = v2 |  ~ (hAPP_int_int(v1, v2) = v3) |  ~ int(v2)))
% 266.23/41.25  
% 266.23/41.25    (fact_115_add__numeral__0__right)
% 266.23/41.25    int(pls) &  ? [v0: int] : (number_number_of_int(pls) = v0 & int(v0) &  ! [v1:
% 266.23/41.25        int] :  ! [v2: fun_int_int] : ( ~ (plus_plus_int(v1) = v2) |  ~ int(v1) |
% 266.23/41.25        hAPP_int_int(v2, v0) = v1))
% 266.23/41.25  
% 266.23/41.25    (fact_117_power__eq__0__iff__number__of)
% 266.23/41.26    nat(zero_zero_nat) & int(zero_zero_int) &  ! [v0: int] :  ! [v1: nat] :  !
% 266.23/41.26    [v2: fun_nat_int] :  ! [v3: int] : (v3 = zero_zero_int | v1 = zero_zero_nat | 
% 266.23/41.26      ~ (number_number_of_nat(v0) = v1) |  ~ (power_power_int(zero_zero_int) = v2)
% 266.23/41.26      |  ~ (hAPP_nat_int(v2, v1) = v3) |  ~ int(v0)) &  ! [v0: int] :  ! [v1: int]
% 266.23/41.26    :  ! [v2: fun_nat_int] :  ! [v3: nat] : ( ~ (number_number_of_nat(v1) = v3) | 
% 266.23/41.26      ~ (power_power_int(v0) = v2) |  ~ (hAPP_nat_int(v2, v3) = zero_zero_int) | 
% 266.23/41.26      ~ int(v1) |  ~ int(v0) | (v0 = zero_zero_int &  ~ (v3 = zero_zero_nat)))
% 266.23/41.26  
% 266.23/41.26    (fact_11_zero__eq__power2)
% 266.23/41.26    real(zero_zero_real) & int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :
% 266.23/41.26    (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 266.23/41.26      int(v1) & int(v0) &  ! [v3: real] :  ! [v4: fun_nat_real] : (v3 =
% 266.23/41.26        zero_zero_real |  ~ (power_power_real(v3) = v4) |  ~ real(v3) |  ? [v5:
% 266.23/41.26          real] : ( ~ (v5 = zero_zero_real) & hAPP_nat_real(v4, v2) = v5 &
% 266.23/41.26          real(v5))) &  ! [v3: fun_nat_real] : ( ~
% 266.23/41.26        (power_power_real(zero_zero_real) = v3) | hAPP_nat_real(v3, v2) =
% 266.23/41.26        zero_zero_real))
% 266.23/41.26  
% 266.23/41.26    (fact_128_Bit1__def)
% 266.23/41.26    int(one_one_int) &  ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 266.23/41.26      fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int] :  !
% 266.23/41.26      [v4: int] : ( ~ (plus_plus_int(v2) = v3) |  ~ (hAPP_int_int(v3, v1) = v4) | 
% 266.23/41.26        ~ (hAPP_int_int(v0, v1) = v2) |  ~ int(v1) | (bit1(v1) = v4 & int(v4))))
% 266.23/41.26  
% 266.23/41.26    (fact_129_odd__nonzero)
% 266.23/41.26    int(zero_zero_int) & int(one_one_int) &  ? [v0: fun_int_int] :
% 266.23/41.26    (plus_plus_int(one_one_int) = v0 & fun_int_int(v0) &  ! [v1: int] :  ! [v2:
% 266.23/41.26        int] :  ! [v3: fun_int_int] : ( ~ (plus_plus_int(v2) = v3) |  ~
% 266.23/41.26        (hAPP_int_int(v3, v1) = zero_zero_int) |  ~ (hAPP_int_int(v0, v1) = v2) | 
% 266.23/41.26        ~ int(v1)))
% 266.23/41.26  
% 266.23/41.26    (fact_12_add__special_I2_J)
% 266.23/41.27    int(pls) & int(one_one_int) &  ? [v0: fun_int_int] :  ? [v1: int] :  ? [v2:
% 266.23/41.27      fun_int_int] : (bit1(pls) = v1 & plus_plus_int(v1) = v2 &
% 266.23/41.27      plus_plus_int(one_one_int) = v0 & fun_int_int(v2) & fun_int_int(v0) &
% 266.23/41.27      int(v1) &  ! [v3: int] :  ! [v4: int] : ( ~ (hAPP_int_int(v2, v3) = v4) |  ~
% 266.23/41.27        int(v3) |  ? [v5: int] :  ? [v6: int] : (number_number_of_int(v4) = v6 &
% 266.23/41.27          number_number_of_int(v3) = v5 & hAPP_int_int(v0, v5) = v6 & int(v6) &
% 266.23/41.27          int(v5))))
% 266.23/41.27  
% 266.23/41.27    (fact_131_number__of__int)
% 266.23/41.27    fun_nat_int(semiri1621563631at_int) &  ! [v0: nat] :  ! [v1: int] : ( ~
% 266.23/41.27      (hAPP_nat_int(semiri1621563631at_int, v0) = v1) |  ~ nat(v0) |
% 266.23/41.27      (number_number_of_int(v1) = v1 & int(v1)))
% 266.23/41.27  
% 266.23/41.27    (fact_133_zero__less__power2)
% 266.23/41.27    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) &  ? [v0:
% 266.23/41.27      fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] : (bit1(pls) = v1
% 266.23/41.27      & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 266.23/41.27      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0)
% 266.23/41.27      & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  ! [v5: fun_nat_int] : (v4 =
% 266.23/41.27        zero_zero_int |  ~ (power_power_int(v4) = v5) |  ~ int(v4) |  ? [v6: int]
% 266.23/41.27        :  ? [v7: bool] : (hAPP_nat_int(v5, v3) = v6 & hAPP_int_bool(v0, v6) = v7
% 266.23/41.27          & hBOOL(v7) = 0 & int(v6) & bool(v7))) &  ! [v4: fun_nat_int] : ( ~
% 266.23/41.27        (power_power_int(zero_zero_int) = v4) |  ? [v5: int] :  ? [v6: bool] :  ?
% 266.23/41.27        [v7: int] : ( ~ (v7 = 0) & hAPP_nat_int(v4, v3) = v5 & hAPP_int_bool(v0,
% 266.23/41.27            v5) = v6 & hBOOL(v6) = v7 & int(v5) & bool(v6))))
% 266.23/41.27  
% 266.23/41.27    (fact_134_zero__less__power2)
% 266.23/41.28    fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) &  ?
% 266.23/41.28    [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 266.23/41.28    (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 & bit1(pls) = v1 &
% 266.23/41.28      bit0(v1) = v2 & number_number_of_nat(v2) = v3 & fun_real_bool(v0) & nat(v3)
% 266.23/41.28      & int(v2) & int(v1) &  ! [v4: real] :  ! [v5: fun_nat_real] : (v4 =
% 266.23/41.28        zero_zero_real |  ~ (power_power_real(v4) = v5) |  ~ real(v4) |  ? [v6:
% 266.23/41.28          real] :  ? [v7: bool] : (hAPP_real_bool(v0, v6) = v7 & hAPP_nat_real(v5,
% 266.23/41.28            v3) = v6 & hBOOL(v7) = 0 & real(v6) & bool(v7))) &  ! [v4:
% 266.23/41.28        fun_nat_real] : ( ~ (power_power_real(zero_zero_real) = v4) |  ? [v5:
% 266.23/41.28          real] :  ? [v6: bool] :  ? [v7: int] : ( ~ (v7 = 0) & hAPP_real_bool(v0,
% 266.23/41.28            v5) = v6 & hAPP_nat_real(v4, v3) = v5 & hBOOL(v6) = v7 & real(v5) &
% 266.23/41.28          bool(v6))))
% 266.23/41.28  
% 266.23/41.28    (fact_135_power2__less__0)
% 266.23/41.28    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) &  ? [v0:
% 266.23/41.28      int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 266.23/41.28      number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) &  ! [v3: int] :
% 266.23/41.28       ! [v4: fun_nat_int] : ( ~ (power_power_int(v3) = v4) |  ~ int(v3) |  ? [v5:
% 266.23/41.28          int] :  ? [v6: fun_int_bool] :  ? [v7: bool] :  ? [v8: int] : ( ~ (v8 =
% 266.23/41.28            0) & hAPP_i1948725293t_bool(ord_less_int, v5) = v6 & hAPP_nat_int(v4,
% 266.23/41.28            v2) = v5 & hAPP_int_bool(v6, zero_zero_int) = v7 & hBOOL(v7) = v8 &
% 266.23/41.28          fun_int_bool(v6) & int(v5) & bool(v7))))
% 266.23/41.28  
% 266.23/41.28    (fact_136_power2__less__0)
% 266.23/41.28    fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) &  ?
% 266.23/41.28    [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 266.23/41.28      number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) &  ! [v3: real]
% 266.23/41.28      :  ! [v4: fun_nat_real] : ( ~ (power_power_real(v3) = v4) |  ~ real(v3) |  ?
% 266.23/41.28        [v5: real] :  ? [v6: fun_real_bool] :  ? [v7: bool] :  ? [v8: int] : ( ~
% 266.23/41.28          (v8 = 0) & hAPP_r1134773055l_bool(ord_less_real, v5) = v6 &
% 266.23/41.28          hAPP_real_bool(v6, zero_zero_real) = v7 & hAPP_nat_real(v4, v2) = v5 &
% 266.23/41.28          hBOOL(v7) = v8 & fun_real_bool(v6) & real(v5) & bool(v7))))
% 266.23/41.28  
% 266.23/41.28    (fact_137_sum__power2__gt__zero__iff)
% 266.23/41.29    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) &  ? [v0:
% 266.23/41.29      fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] : (bit1(pls) = v1
% 266.23/41.29      & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 266.23/41.29      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0)
% 266.23/41.29      & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  ! [v5: int] :  ! [v6:
% 266.23/41.29        fun_nat_int] :  ! [v7: int] :  ! [v8: fun_int_int] :  ! [v9: fun_nat_int]
% 266.23/41.29      :  ! [v10: int] :  ! [v11: int] : ( ~ (power_power_int(v5) = v9) |  ~
% 266.23/41.29        (power_power_int(v4) = v6) |  ~ (plus_plus_int(v7) = v8) |  ~
% 266.23/41.29        (hAPP_nat_int(v9, v3) = v10) |  ~ (hAPP_nat_int(v6, v3) = v7) |  ~
% 266.23/41.29        (hAPP_int_int(v8, v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ? [v12: bool] :
% 266.23/41.29        (hAPP_int_bool(v0, v11) = v12 & hBOOL(v12) = 0 & bool(v12)) | (v5 =
% 266.23/41.29          zero_zero_int & v4 = zero_zero_int)) &  ! [v4: fun_nat_int] :  ! [v5:
% 266.23/41.29        int] :  ! [v6: fun_int_int] :  ! [v7: int] : ( ~
% 266.23/41.29        (power_power_int(zero_zero_int) = v4) |  ~ (plus_plus_int(v5) = v6) |  ~
% 266.23/41.29        (hAPP_nat_int(v4, v3) = v5) |  ~ (hAPP_int_int(v6, v5) = v7) |  ? [v8:
% 266.23/41.29          bool] :  ? [v9: int] : ( ~ (v9 = 0) & hAPP_int_bool(v0, v7) = v8 &
% 266.23/41.29          hBOOL(v8) = v9 & bool(v8))))
% 266.23/41.29  
% 266.23/41.29    (fact_138_sum__power2__gt__zero__iff)
% 266.23/41.29    fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) &  ?
% 266.23/41.29    [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 266.23/41.29    (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 & bit1(pls) = v1 &
% 266.23/41.29      bit0(v1) = v2 & number_number_of_nat(v2) = v3 & fun_real_bool(v0) & nat(v3)
% 266.23/41.29      & int(v2) & int(v1) &  ! [v4: real] :  ! [v5: real] :  ! [v6: fun_nat_real]
% 266.23/41.29      :  ! [v7: real] :  ! [v8: fun_real_real] :  ! [v9: fun_nat_real] :  ! [v10:
% 266.23/41.29        real] :  ! [v11: real] : ( ~ (plus_plus_real(v7) = v8) |  ~
% 266.23/41.29        (power_power_real(v5) = v9) |  ~ (power_power_real(v4) = v6) |  ~
% 266.23/41.29        (hAPP_nat_real(v9, v3) = v10) |  ~ (hAPP_nat_real(v6, v3) = v7) |  ~
% 266.23/41.29        (hAPP_real_real(v8, v10) = v11) |  ~ real(v5) |  ~ real(v4) |  ? [v12:
% 266.23/41.29          bool] : (hAPP_real_bool(v0, v11) = v12 & hBOOL(v12) = 0 & bool(v12)) |
% 266.23/41.29        (v5 = zero_zero_real & v4 = zero_zero_real)) &  ! [v4: fun_nat_real] :  !
% 266.23/41.29      [v5: real] :  ! [v6: fun_real_real] :  ! [v7: real] : ( ~
% 266.23/41.29        (plus_plus_real(v5) = v6) |  ~ (power_power_real(zero_zero_real) = v4) | 
% 266.23/41.29        ~ (hAPP_nat_real(v4, v3) = v5) |  ~ (hAPP_real_real(v6, v5) = v7) |  ?
% 266.23/41.29        [v8: bool] :  ? [v9: int] : ( ~ (v9 = 0) & hAPP_real_bool(v0, v7) = v8 &
% 266.23/41.29          hBOOL(v8) = v9 & bool(v8))))
% 266.23/41.29  
% 266.23/41.29    (fact_139_not__sum__power2__lt__zero)
% 266.23/41.29    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) &  ? [v0:
% 266.23/41.29      int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 266.23/41.29      number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) &  ! [v3: int] :
% 266.23/41.29       ! [v4: int] :  ! [v5: fun_nat_int] :  ! [v6: int] :  ! [v7: fun_int_int] : 
% 266.23/41.29      ! [v8: fun_nat_int] :  ! [v9: int] :  ! [v10: int] : ( ~
% 266.23/41.29        (power_power_int(v4) = v8) |  ~ (power_power_int(v3) = v5) |  ~
% 266.23/41.29        (plus_plus_int(v6) = v7) |  ~ (hAPP_nat_int(v8, v2) = v9) |  ~
% 266.23/41.29        (hAPP_nat_int(v5, v2) = v6) |  ~ (hAPP_int_int(v7, v9) = v10) |  ~ int(v4)
% 266.23/41.29        |  ~ int(v3) |  ? [v11: fun_int_bool] :  ? [v12: bool] :  ? [v13: int] : (
% 266.23/41.29          ~ (v13 = 0) & hAPP_i1948725293t_bool(ord_less_int, v10) = v11 &
% 266.23/41.29          hAPP_int_bool(v11, zero_zero_int) = v12 & hBOOL(v12) = v13 &
% 266.23/41.29          fun_int_bool(v11) & bool(v12))))
% 266.23/41.30  
% 266.23/41.30    (fact_13_add__special_I2_J)
% 266.23/41.30    real(one_one_real) & int(pls) &  ? [v0: fun_real_real] :  ? [v1: int] :  ?
% 266.23/41.30    [v2: fun_int_int] : (plus_plus_real(one_one_real) = v0 & bit1(pls) = v1 &
% 266.23/41.30      plus_plus_int(v1) = v2 & fun_real_real(v0) & fun_int_int(v2) & int(v1) &  !
% 266.23/41.30      [v3: int] :  ! [v4: int] : ( ~ (hAPP_int_int(v2, v3) = v4) |  ~ int(v3) |  ?
% 266.23/41.30        [v5: real] :  ? [v6: real] : (number267125858f_real(v4) = v6 &
% 266.23/41.30          number267125858f_real(v3) = v5 & hAPP_real_real(v0, v5) = v6 & real(v6)
% 266.23/41.30          & real(v5))))
% 266.23/41.30  
% 266.23/41.30    (fact_140_not__sum__power2__lt__zero)
% 266.23/41.30    fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) &  ?
% 266.23/41.30    [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 266.23/41.30      number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) &  ! [v3: real]
% 266.23/41.30      :  ! [v4: real] :  ! [v5: fun_nat_real] :  ! [v6: real] :  ! [v7:
% 266.23/41.30        fun_real_real] :  ! [v8: fun_nat_real] :  ! [v9: real] :  ! [v10: real] :
% 266.23/41.30      ( ~ (plus_plus_real(v6) = v7) |  ~ (power_power_real(v4) = v8) |  ~
% 266.23/41.30        (power_power_real(v3) = v5) |  ~ (hAPP_nat_real(v8, v2) = v9) |  ~
% 266.23/41.30        (hAPP_nat_real(v5, v2) = v6) |  ~ (hAPP_real_real(v7, v9) = v10) |  ~
% 266.23/41.30        real(v4) |  ~ real(v3) |  ? [v11: fun_real_bool] :  ? [v12: bool] :  ?
% 266.23/41.30        [v13: int] : ( ~ (v13 = 0) & hAPP_r1134773055l_bool(ord_less_real, v10) =
% 266.23/41.30          v11 & hAPP_real_bool(v11, zero_zero_real) = v12 & hBOOL(v12) = v13 &
% 266.23/41.30          fun_real_bool(v11) & bool(v12))))
% 266.23/41.30  
% 266.23/41.30    (fact_143_number__of__Bit1)
% 266.23/41.30    int(one_one_int) &  ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 266.23/41.30      fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: int] :  ! [v4:
% 266.23/41.30        fun_int_int] :  ! [v5: int] : ( ~ (number_number_of_int(v1) = v2) |  ~
% 266.23/41.30        (plus_plus_int(v3) = v4) |  ~ (hAPP_int_int(v4, v2) = v5) |  ~
% 266.23/41.30        (hAPP_int_int(v0, v2) = v3) |  ~ int(v1) |  ? [v6: int] :
% 266.23/41.30        (number_number_of_int(v6) = v5 & bit1(v1) = v6 & int(v6) & int(v5))))
% 266.23/41.30  
% 266.23/41.30    (fact_145_semiring__numeral__1__eq__1)
% 266.23/41.30    int(pls) & int(one_one_int) &  ? [v0: int] : (number_number_of_int(v0) =
% 266.23/41.30      one_one_int & bit1(pls) = v0 & int(v0))
% 266.23/41.30  
% 266.23/41.30    (fact_146_semiring__numeral__1__eq__1)
% 266.23/41.30    nat(one_one_nat) & int(pls) &  ? [v0: int] : (bit1(pls) = v0 &
% 266.23/41.30      number_number_of_nat(v0) = one_one_nat & int(v0))
% 266.23/41.30  
% 266.23/41.30    (fact_147_semiring__numeral__1__eq__1)
% 266.23/41.30    real(one_one_real) & int(pls) &  ? [v0: int] : (number267125858f_real(v0) =
% 266.23/41.30      one_one_real & bit1(pls) = v0 & int(v0))
% 266.23/41.30  
% 266.23/41.30    (fact_148_mn)
% 266.23/41.30    fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.30    nat(n) & int(m1) & int(one_one_int) &  ? [v0: fun_int_bool] :  ? [v1:
% 266.23/41.30      fun_int_int] :  ? [v2: int] :  ? [v3: int] :  ? [v4: bool] :
% 266.23/41.30    (hAPP_i1948725293t_bool(ord_less_int, m1) = v0 & plus_plus_int(one_one_int) =
% 266.23/41.30      v1 & hAPP_nat_int(semiri1621563631at_int, n) = v2 & hAPP_int_int(v1, v2) =
% 266.23/41.30      v3 & hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0 & fun_int_int(v1) &
% 266.23/41.30      fun_int_bool(v0) & int(v3) & int(v2) & bool(v4))
% 266.23/41.30  
% 266.23/41.30    (fact_149_of__nat__less__two__power)
% 266.23/41.31    fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.31    int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: int] :  ? [v3: fun_nat_int] :
% 266.23/41.31    (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 266.23/41.31      power_power_int(v2) = v3 & fun_nat_int(v3) & int(v2) & int(v1) & int(v0) & 
% 266.23/41.31      ! [v4: nat] :  ! [v5: int] :  ! [v6: fun_int_bool] :  ! [v7: int] :  ! [v8:
% 266.23/41.31        bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) |  ~
% 266.23/41.31        (hAPP_nat_int(v3, v4) = v7) |  ~ (hAPP_nat_int(semiri1621563631at_int, v4)
% 266.23/41.31          = v5) |  ~ (hAPP_int_bool(v6, v7) = v8) |  ~ nat(v4) | hBOOL(v8) = 0))
% 266.23/41.31  
% 266.23/41.31    (fact_14_add__special_I3_J)
% 266.23/41.31    int(pls) & int(one_one_int) &  ? [v0: int] : (bit1(pls) = v0 & int(v0) &  !
% 266.23/41.31      [v1: int] :  ! [v2: int] : ( ~ (number_number_of_int(v1) = v2) |  ~ int(v1)
% 266.23/41.31        |  ? [v3: fun_int_int] :  ? [v4: int] :  ? [v5: fun_int_int] :  ? [v6:
% 266.23/41.31          int] : (number_number_of_int(v6) = v4 & plus_plus_int(v2) = v3 &
% 266.23/41.31          plus_plus_int(v1) = v5 & hAPP_int_int(v5, v0) = v6 & hAPP_int_int(v3,
% 266.23/41.31            one_one_int) = v4 & fun_int_int(v5) & fun_int_int(v3) & int(v6) &
% 266.23/41.31          int(v4))))
% 266.23/41.31  
% 266.23/41.31    (fact_150_of__nat__less__two__power)
% 266.23/41.31    fun_re413263731l_bool(ord_less_real) & fun_nat_real(semiri132038758t_real) &
% 266.23/41.31    int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: real] :  ? [v3: fun_nat_real]
% 266.23/41.31    : (number267125858f_real(v1) = v2 & power_power_real(v2) = v3 & bit1(pls) = v0
% 266.23/41.31      & bit0(v0) = v1 & fun_nat_real(v3) & real(v2) & int(v1) & int(v0) &  ! [v4:
% 266.23/41.31        nat] :  ! [v5: real] :  ! [v6: fun_real_bool] :  ! [v7: real] :  ! [v8:
% 266.23/41.31        bool] : ( ~ (hAPP_r1134773055l_bool(ord_less_real, v5) = v6) |  ~
% 266.23/41.31        (hAPP_real_bool(v6, v7) = v8) |  ~ (hAPP_nat_real(v3, v4) = v7) |  ~
% 266.23/41.31        (hAPP_nat_real(semiri132038758t_real, v4) = v5) |  ~ nat(v4) | hBOOL(v8) =
% 266.23/41.31        0))
% 266.23/41.31  
% 266.23/41.31    (fact_151_transfer__int__nat__numerals_I3_J)
% 266.23/41.31    fun_nat_int(semiri1621563631at_int) & int(pls) &  ? [v0: int] :  ? [v1: int] :
% 266.23/41.31     ? [v2: int] :  ? [v3: nat] : (number_number_of_int(v1) = v2 & bit1(pls) = v0
% 266.23/41.31      & bit0(v0) = v1 & number_number_of_nat(v1) = v3 &
% 266.23/41.31      hAPP_nat_int(semiri1621563631at_int, v3) = v2 & nat(v3) & int(v2) & int(v1)
% 266.23/41.31      & int(v0))
% 266.23/41.31  
% 266.23/41.31    (fact_152_transfer__int__nat__numerals_I4_J)
% 266.23/41.31    fun_nat_int(semiri1621563631at_int) & int(pls) &  ? [v0: int] :  ? [v1: int] :
% 266.23/41.31     ? [v2: int] :  ? [v3: nat] : (number_number_of_int(v1) = v2 & bit1(v0) = v1 &
% 266.23/41.31      bit1(pls) = v0 & number_number_of_nat(v1) = v3 &
% 266.23/41.31      hAPP_nat_int(semiri1621563631at_int, v3) = v2 & nat(v3) & int(v2) & int(v1)
% 266.23/41.31      & int(v0))
% 266.23/41.31  
% 266.23/41.31    (fact_153_realpow__two__sum__zero__iff)
% 266.23/41.31    real(zero_zero_real) & int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :
% 266.23/41.31    (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 266.23/41.31      int(v1) & int(v0) &  ! [v3: real] :  ! [v4: real] :  ! [v5: fun_nat_real] : 
% 266.23/41.31      ! [v6: real] :  ! [v7: fun_real_real] :  ! [v8: fun_nat_real] :  ! [v9:
% 266.23/41.31        real] : ( ~ (plus_plus_real(v6) = v7) |  ~ (power_power_real(v4) = v8) | 
% 266.23/41.31        ~ (power_power_real(v3) = v5) |  ~ (hAPP_nat_real(v8, v2) = v9) |  ~
% 266.23/41.31        (hAPP_nat_real(v5, v2) = v6) |  ~ (hAPP_real_real(v7, v9) =
% 266.23/41.31          zero_zero_real) |  ~ real(v4) |  ~ real(v3) | (v4 = zero_zero_real & v3
% 266.23/41.31          = zero_zero_real)) &  ! [v3: fun_nat_real] :  ! [v4: real] :  ! [v5:
% 266.23/41.31        fun_real_real] :  ! [v6: real] : (v6 = zero_zero_real |  ~
% 266.23/41.31        (plus_plus_real(v4) = v5) |  ~ (power_power_real(zero_zero_real) = v3) | 
% 266.23/41.31        ~ (hAPP_nat_real(v3, v2) = v4) |  ~ (hAPP_real_real(v5, v4) = v6)))
% 266.23/41.31  
% 266.23/41.31    (fact_154_of__nat__0__less__iff)
% 266.23/41.32    fun_nat_fun_nat_bool(ord_less_nat) & fun_nat_int(semiri1621563631at_int) &
% 266.23/41.32    fun_int_fun_int_bool(ord_less_int) & nat(zero_zero_nat) & int(zero_zero_int) &
% 266.23/41.32     ? [v0: fun_int_bool] :  ? [v1: fun_nat_bool] :
% 266.23/41.32    (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 266.23/41.32      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_nat_bool(v1)
% 266.23/41.32      & fun_int_bool(v0) &  ! [v2: nat] :  ! [v3: bool] : ( ~ (hAPP_nat_bool(v1,
% 266.23/41.32            v2) = v3) |  ~ nat(v2) |  ? [v4: any] :  ? [v5: int] :  ? [v6: bool] :
% 266.23/41.32         ? [v7: any] : (hAPP_nat_int(semiri1621563631at_int, v2) = v5 &
% 266.23/41.32          hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v3) = v4 & int(v5) &
% 266.23/41.32          bool(v6) & ( ~ (v4 = 0) | v7 = 0))) &  ! [v2: nat] :  ! [v3: bool] : ( ~
% 266.23/41.32        (hAPP_nat_bool(v1, v2) = v3) |  ~ nat(v2) |  ? [v4: int] :  ? [v5: bool] :
% 266.23/41.32         ? [v6: any] :  ? [v7: any] : (hAPP_nat_int(semiri1621563631at_int, v2) =
% 266.23/41.32          v4 & hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v3) = v7 &
% 266.23/41.32          int(v4) & bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 266.23/41.32  
% 266.23/41.32    (fact_15_add__special_I3_J)
% 266.23/41.32    real(one_one_real) & int(pls) &  ? [v0: int] : (bit1(pls) = v0 & int(v0) &  !
% 266.23/41.32      [v1: int] :  ! [v2: real] : ( ~ (number267125858f_real(v1) = v2) |  ~
% 266.23/41.32        int(v1) |  ? [v3: fun_real_real] :  ? [v4: real] :  ? [v5: fun_int_int] : 
% 266.23/41.32        ? [v6: int] : (number267125858f_real(v6) = v4 & plus_plus_real(v2) = v3 &
% 266.23/41.32          hAPP_real_real(v3, one_one_real) = v4 & plus_plus_int(v1) = v5 &
% 266.23/41.32          hAPP_int_int(v5, v0) = v6 & fun_real_real(v3) & fun_int_int(v5) &
% 266.23/41.32          real(v4) & int(v6))))
% 266.23/41.32  
% 266.23/41.32    (fact_163_power__strict__decreasing)
% 266.23/41.32    fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.32    int(zero_zero_int) & int(one_one_int) &  ? [v0: fun_int_bool] :
% 266.23/41.32    (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 266.23/41.32       ! [v1: int] :  ! [v2: nat] :  ! [v3: nat] :  ! [v4: fun_nat_int] :  ! [v5:
% 266.23/41.32        int] :  ! [v6: fun_int_bool] :  ! [v7: int] :  ! [v8: bool] : ( ~
% 266.23/41.32        (power_power_int(v1) = v4) |  ~ (hAPP_i1948725293t_bool(ord_less_int, v5)
% 266.23/41.32          = v6) |  ~ (hAPP_nat_int(v4, v3) = v5) |  ~ (hAPP_nat_int(v4, v2) = v7)
% 266.23/41.32        |  ~ (hAPP_int_bool(v6, v7) = v8) |  ~ nat(v3) |  ~ nat(v2) |  ~ int(v1) |
% 266.23/41.32         ? [v9: fun_nat_bool] :  ? [v10: bool] :  ? [v11: any] :  ? [v12: bool] : 
% 266.23/41.32        ? [v13: any] :  ? [v14: fun_int_bool] :  ? [v15: bool] :  ? [v16: any] : 
% 266.23/41.32        ? [v17: any] : (hAPP_n1699378549t_bool(ord_less_nat, v2) = v9 &
% 266.23/41.32          hAPP_nat_bool(v9, v3) = v10 & hAPP_i1948725293t_bool(ord_less_int, v1) =
% 266.23/41.32          v14 & hAPP_int_bool(v14, one_one_int) = v15 & hAPP_int_bool(v0, v1) =
% 266.23/41.32          v12 & hBOOL(v15) = v16 & hBOOL(v12) = v13 & hBOOL(v10) = v11 & hBOOL(v8)
% 266.23/41.32          = v17 & fun_nat_bool(v9) & fun_int_bool(v14) & bool(v15) & bool(v12) &
% 266.23/41.32          bool(v10) & ( ~ (v16 = 0) |  ~ (v13 = 0) |  ~ (v11 = 0) | v17 = 0))))
% 266.23/41.32  
% 266.23/41.32    (fact_166_zero__less__two)
% 266.23/41.32    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) & 
% 266.23/41.32    ? [v0: fun_int_bool] :  ? [v1: fun_int_int] :  ? [v2: int] :  ? [v3: bool] :
% 266.23/41.32    (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 266.23/41.32      plus_plus_int(one_one_int) = v1 & hAPP_int_int(v1, one_one_int) = v2 &
% 266.23/41.32      hAPP_int_bool(v0, v2) = v3 & hBOOL(v3) = 0 & fun_int_int(v1) &
% 266.23/41.32      fun_int_bool(v0) & int(v2) & bool(v3))
% 266.23/41.32  
% 266.23/41.32    (fact_16_one__add__one__is__two)
% 266.23/41.32    int(pls) & int(one_one_int) &  ? [v0: fun_int_int] :  ? [v1: int] :  ? [v2:
% 266.23/41.33      int] :  ? [v3: int] : (number_number_of_int(v3) = v1 & bit1(pls) = v2 &
% 266.23/41.33      bit0(v2) = v3 & plus_plus_int(one_one_int) = v0 & hAPP_int_int(v0,
% 266.23/41.33        one_one_int) = v1 & fun_int_int(v0) & int(v3) & int(v2) & int(v1))
% 266.23/41.33  
% 266.23/41.33    (fact_17_one__add__one__is__two)
% 266.23/41.33    real(one_one_real) & int(pls) &  ? [v0: fun_real_real] :  ? [v1: real] :  ?
% 266.23/41.33    [v2: int] :  ? [v3: int] : (number267125858f_real(v3) = v1 &
% 266.23/41.33      plus_plus_real(one_one_real) = v0 & hAPP_real_real(v0, one_one_real) = v1 &
% 266.23/41.33      bit1(pls) = v2 & bit0(v2) = v3 & fun_real_real(v0) & real(v1) & int(v3) &
% 266.23/41.33      int(v2))
% 266.23/41.33  
% 266.23/41.33    (fact_18_semiring__one__add__one__is__two)
% 266.23/41.33    int(pls) & int(one_one_int) &  ? [v0: fun_int_int] :  ? [v1: int] :  ? [v2:
% 266.23/41.33      int] :  ? [v3: int] : (number_number_of_int(v3) = v1 & bit1(pls) = v2 &
% 266.23/41.33      bit0(v2) = v3 & plus_plus_int(one_one_int) = v0 & hAPP_int_int(v0,
% 266.23/41.33        one_one_int) = v1 & fun_int_int(v0) & int(v3) & int(v2) & int(v1))
% 266.23/41.33  
% 266.23/41.33    (fact_19_semiring__one__add__one__is__two)
% 266.23/41.33    nat(one_one_nat) & int(pls) &  ? [v0: fun_nat_nat] :  ? [v1: nat] :  ? [v2:
% 266.23/41.33      int] :  ? [v3: int] : (plus_plus_nat(one_one_nat) = v0 & hAPP_nat_nat(v0,
% 266.23/41.33        one_one_nat) = v1 & bit1(pls) = v2 & bit0(v2) = v3 &
% 266.23/41.33      number_number_of_nat(v3) = v1 & fun_nat_nat(v0) & nat(v1) & int(v3) &
% 266.23/41.33      int(v2))
% 266.23/41.33  
% 266.23/41.33    (fact_207_less__nat__number__of)
% 266.23/41.33    fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.33    int(pls) &  ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, pls)
% 266.23/41.33      = v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: nat] :  !
% 266.23/41.33      [v4: fun_nat_bool] :  ! [v5: nat] :  ! [v6: bool] : ( ~
% 266.23/41.33        (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) |  ~ (hAPP_nat_bool(v4,
% 266.23/41.33            v5) = v6) |  ~ (number_number_of_nat(v2) = v5) |  ~
% 266.23/41.33        (number_number_of_nat(v1) = v3) |  ~ int(v2) |  ~ int(v1) |  ? [v7: any] :
% 266.23/41.33         ? [v8: fun_int_bool] :  ? [v9: bool] :  ? [v10: any] :  ? [v11: bool] : 
% 266.23/41.33        ? [v12: any] : (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 266.23/41.33          hAPP_int_bool(v8, v2) = v9 & hAPP_int_bool(v0, v2) = v11 & hBOOL(v11) =
% 266.23/41.33          v12 & hBOOL(v9) = v10 & hBOOL(v6) = v7 & fun_int_bool(v8) & bool(v11) &
% 266.23/41.33          bool(v9) & ( ~ (v7 = 0) | (v12 = 0 & v10 = 0)))) &  ! [v1: int] :  !
% 266.23/41.33      [v2: int] :  ! [v3: nat] :  ! [v4: fun_nat_bool] :  ! [v5: nat] :  ! [v6:
% 266.23/41.33        bool] : ( ~ (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) |  ~
% 266.23/41.33        (hAPP_nat_bool(v4, v5) = v6) |  ~ (number_number_of_nat(v2) = v5) |  ~
% 266.23/41.33        (number_number_of_nat(v1) = v3) |  ~ int(v2) |  ~ int(v1) |  ? [v7:
% 266.23/41.33          fun_int_bool] :  ? [v8: bool] :  ? [v9: any] :  ? [v10: bool] :  ? [v11:
% 266.23/41.33          any] :  ? [v12: any] : (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 &
% 266.23/41.33          hAPP_int_bool(v7, v2) = v8 & hAPP_int_bool(v0, v2) = v10 & hBOOL(v10) =
% 266.23/41.33          v11 & hBOOL(v8) = v9 & hBOOL(v6) = v12 & fun_int_bool(v7) & bool(v10) &
% 266.23/41.33          bool(v8) & ( ~ (v11 = 0) |  ~ (v9 = 0) | v12 = 0))))
% 266.23/41.33  
% 266.23/41.33    (fact_20_semiring__one__add__one__is__two)
% 266.23/41.33    real(one_one_real) & int(pls) &  ? [v0: fun_real_real] :  ? [v1: real] :  ?
% 266.23/41.33    [v2: int] :  ? [v3: int] : (number267125858f_real(v3) = v1 &
% 266.23/41.33      plus_plus_real(one_one_real) = v0 & hAPP_real_real(v0, one_one_real) = v1 &
% 266.23/41.33      bit1(pls) = v2 & bit0(v2) = v3 & fun_real_real(v0) & real(v1) & int(v3) &
% 266.23/41.33      int(v2))
% 266.23/41.33  
% 266.23/41.33    (fact_21_quartic__square__square)
% 266.23/41.34    int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: int] :  ? [v4:
% 266.23/41.34      nat] : (bit1(pls) = v0 & bit0(v1) = v3 & bit0(v0) = v1 &
% 266.23/41.34      number_number_of_nat(v3) = v4 & number_number_of_nat(v1) = v2 & nat(v4) &
% 266.23/41.34      nat(v2) & int(v3) & int(v1) & int(v0) &  ! [v5: int] :  ! [v6: fun_nat_int]
% 266.23/41.34      : ( ~ (power_power_int(v5) = v6) |  ~ int(v5) |  ? [v7: int] :  ? [v8:
% 266.23/41.34          fun_nat_int] :  ? [v9: int] : (power_power_int(v7) = v8 &
% 266.23/41.34          hAPP_nat_int(v8, v2) = v9 & hAPP_nat_int(v6, v4) = v9 & hAPP_nat_int(v6,
% 266.23/41.34            v2) = v7 & fun_nat_int(v8) & int(v9) & int(v7))))
% 266.23/41.34  
% 266.23/41.34    (fact_222_less__0__number__of)
% 266.23/41.34    fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.34    nat(zero_zero_nat) & int(pls) &  ? [v0: fun_nat_bool] :  ? [v1: fun_int_bool]
% 266.23/41.34    : (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 &
% 266.23/41.34      hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_nat_bool(v0) &
% 266.23/41.34      fun_int_bool(v1) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 266.23/41.34          = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5: nat] :  ? [v6: bool] :  ?
% 266.23/41.34        [v7: any] : (hAPP_nat_bool(v0, v5) = v6 & number_number_of_nat(v2) = v5 &
% 266.23/41.34          hBOOL(v6) = v7 & hBOOL(v3) = v4 & nat(v5) & bool(v6) & ( ~ (v4 = 0) | v7
% 266.23/41.34            = 0))) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) =
% 266.23/41.34          v3) |  ~ int(v2) |  ? [v4: nat] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 266.23/41.34          any] : (hAPP_nat_bool(v0, v4) = v5 & number_number_of_nat(v2) = v4 &
% 266.23/41.34          hBOOL(v5) = v6 & hBOOL(v3) = v7 & nat(v4) & bool(v5) & ( ~ (v6 = 0) | v7
% 266.23/41.34            = 0))))
% 266.23/41.34  
% 266.23/41.34    (fact_223_zero__less__int__conv)
% 266.23/41.34    fun_nat_fun_nat_bool(ord_less_nat) & fun_nat_int(semiri1621563631at_int) &
% 266.23/41.34    fun_int_fun_int_bool(ord_less_int) & nat(zero_zero_nat) & int(zero_zero_int) &
% 266.23/41.34     ? [v0: fun_int_bool] :  ? [v1: fun_nat_bool] :
% 266.23/41.34    (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 266.23/41.34      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_nat_bool(v1)
% 266.23/41.34      & fun_int_bool(v0) &  ! [v2: nat] :  ! [v3: bool] : ( ~ (hAPP_nat_bool(v1,
% 266.23/41.34            v2) = v3) |  ~ nat(v2) |  ? [v4: any] :  ? [v5: int] :  ? [v6: bool] :
% 266.23/41.34         ? [v7: any] : (hAPP_nat_int(semiri1621563631at_int, v2) = v5 &
% 266.23/41.34          hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v3) = v4 & int(v5) &
% 266.23/41.34          bool(v6) & ( ~ (v4 = 0) | v7 = 0))) &  ! [v2: nat] :  ! [v3: bool] : ( ~
% 266.23/41.34        (hAPP_nat_bool(v1, v2) = v3) |  ~ nat(v2) |  ? [v4: int] :  ? [v5: bool] :
% 266.23/41.34         ? [v6: any] :  ? [v7: any] : (hAPP_nat_int(semiri1621563631at_int, v2) =
% 266.23/41.34          v4 & hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v3) = v7 &
% 266.23/41.34          int(v4) & bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 266.23/41.34  
% 266.23/41.34    (fact_249_of__nat__1)
% 266.23/41.34    hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int &
% 266.23/41.34    fun_nat_int(semiri1621563631at_int) & nat(one_one_nat) & int(one_one_int)
% 266.23/41.34  
% 266.23/41.34    (fact_253_transfer__int__nat__numerals_I2_J)
% 266.23/41.34    hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int &
% 266.23/41.34    fun_nat_int(semiri1621563631at_int) & nat(one_one_nat) & int(one_one_int)
% 266.23/41.34  
% 266.23/41.34    (fact_258_pos__add__strict)
% 266.23/41.34    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) &  ? [v0:
% 266.23/41.34      fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 266.23/41.34      fun_int_bool(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: int] :  ! [v4:
% 266.23/41.34        fun_int_bool] :  ! [v5: fun_int_int] :  ! [v6: int] :  ! [v7: bool] : ( ~
% 266.23/41.34        (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) |  ~ (plus_plus_int(v3) =
% 266.23/41.34          v5) |  ~ (hAPP_int_int(v5, v2) = v6) |  ~ (hAPP_int_bool(v4, v6) = v7) |
% 266.23/41.34         ~ int(v3) |  ~ int(v2) |  ~ int(v1) |  ? [v8: bool] :  ? [v9: any] :  ?
% 266.23/41.34        [v10: bool] :  ? [v11: any] :  ? [v12: any] : (hAPP_int_bool(v4, v2) = v10
% 266.23/41.34          & hAPP_int_bool(v0, v3) = v8 & hBOOL(v10) = v11 & hBOOL(v8) = v9 &
% 266.23/41.34          hBOOL(v7) = v12 & bool(v10) & bool(v8) & ( ~ (v11 = 0) |  ~ (v9 = 0) |
% 266.23/41.34            v12 = 0))))
% 266.23/41.34  
% 266.23/41.34    (fact_25_semiring__norm_I110_J)
% 266.23/41.34    int(pls) & int(one_one_int) &  ? [v0: int] : (number_number_of_int(v0) =
% 266.23/41.34      one_one_int & bit1(pls) = v0 & int(v0))
% 266.23/41.34  
% 266.23/41.34    (fact_264_zero__less__one)
% 266.23/41.35    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) & 
% 266.23/41.35    ? [v0: fun_int_bool] :  ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 266.23/41.35        zero_zero_int) = v0 & hAPP_int_bool(v0, one_one_int) = v1 & hBOOL(v1) = 0
% 266.23/41.35      & fun_int_bool(v0) & bool(v1))
% 266.23/41.35  
% 266.23/41.35    (fact_267_zero__less__power)
% 266.23/41.35    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) &  ? [v0:
% 266.23/41.35      fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 266.23/41.35      fun_int_bool(v0) &  ! [v1: nat] :  ! [v2: int] :  ! [v3: fun_nat_int] :  !
% 266.23/41.35      [v4: int] : ( ~ (power_power_int(v2) = v3) |  ~ (hAPP_nat_int(v3, v1) = v4)
% 266.23/41.35        |  ~ nat(v1) |  ~ int(v2) |  ? [v5: bool] :  ? [v6: any] :  ? [v7: bool] :
% 266.23/41.35         ? [v8: any] : (hAPP_int_bool(v0, v4) = v7 & hAPP_int_bool(v0, v2) = v5 &
% 266.23/41.35          hBOOL(v7) = v8 & hBOOL(v5) = v6 & bool(v7) & bool(v5) & ( ~ (v6 = 0) |
% 266.23/41.35            v8 = 0))))
% 266.23/41.35  
% 266.23/41.35    (fact_26_semiring__norm_I110_J)
% 266.23/41.35    real(one_one_real) & int(pls) &  ? [v0: int] : (number267125858f_real(v0) =
% 266.23/41.35      one_one_real & bit1(pls) = v0 & int(v0))
% 266.23/41.35  
% 266.23/41.35    (fact_27_numeral__1__eq__1)
% 266.23/41.35    int(pls) & int(one_one_int) &  ? [v0: int] : (number_number_of_int(v0) =
% 266.23/41.35      one_one_int & bit1(pls) = v0 & int(v0))
% 266.23/41.35  
% 266.23/41.35    (fact_28_numeral__1__eq__1)
% 266.23/41.35    real(one_one_real) & int(pls) &  ? [v0: int] : (number267125858f_real(v0) =
% 266.23/41.35      one_one_real & bit1(pls) = v0 & int(v0))
% 266.23/41.35  
% 266.23/41.35    (fact_296_pos2)
% 266.23/41.35    fun_nat_fun_nat_bool(ord_less_nat) & nat(zero_zero_nat) & int(pls) &  ? [v0:
% 266.23/41.35      fun_nat_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :  ? [v4: bool] :
% 266.23/41.35    (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 & hAPP_nat_bool(v0,
% 266.23/41.35        v3) = v4 & bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3
% 266.23/41.35      & hBOOL(v4) = 0 & fun_nat_bool(v0) & nat(v3) & int(v2) & int(v1) & bool(v4))
% 266.23/41.35  
% 266.23/41.35    (fact_297_zero__less__imp__eq__int)
% 266.23/41.35    fun_nat_fun_nat_bool(ord_less_nat) & fun_nat_int(semiri1621563631at_int) &
% 266.23/41.35    fun_int_fun_int_bool(ord_less_int) & nat(zero_zero_nat) & int(zero_zero_int) &
% 266.23/41.35     ? [v0: fun_int_bool] :  ? [v1: fun_nat_bool] :
% 266.23/41.35    (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 266.23/41.35      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_nat_bool(v1)
% 266.23/41.35      & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v0,
% 266.23/41.35            v2) = v3) |  ~ int(v2) |  ? [v4: nat] :  ? [v5: bool] :
% 266.23/41.35        (hAPP_nat_bool(v1, v4) = v5 & hAPP_nat_int(semiri1621563631at_int, v4) =
% 266.23/41.35          v2 & hBOOL(v5) = 0 & nat(v4) & bool(v5)) |  ? [v4: int] : ( ~ (v4 = 0) &
% 266.23/41.35          hBOOL(v3) = v4)))
% 266.23/41.35  
% 266.23/41.35    (fact_2_sum__power2__eq__zero__iff)
% 266.23/41.35    int(pls) & int(zero_zero_int) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :
% 266.23/41.35    (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 266.23/41.35      int(v1) & int(v0) &  ! [v3: int] :  ! [v4: int] :  ! [v5: fun_nat_int] :  !
% 266.23/41.35      [v6: int] :  ! [v7: fun_int_int] :  ! [v8: fun_nat_int] :  ! [v9: int] : ( ~
% 266.23/41.35        (power_power_int(v4) = v8) |  ~ (power_power_int(v3) = v5) |  ~
% 266.23/41.35        (plus_plus_int(v6) = v7) |  ~ (hAPP_nat_int(v8, v2) = v9) |  ~
% 266.23/41.35        (hAPP_nat_int(v5, v2) = v6) |  ~ (hAPP_int_int(v7, v9) = zero_zero_int) | 
% 266.23/41.35        ~ int(v4) |  ~ int(v3) | (v4 = zero_zero_int & v3 = zero_zero_int)) &  !
% 266.23/41.35      [v3: fun_nat_int] :  ! [v4: int] :  ! [v5: fun_int_int] :  ! [v6: int] : (v6
% 266.23/41.35        = zero_zero_int |  ~ (power_power_int(zero_zero_int) = v3) |  ~
% 266.23/41.35        (plus_plus_int(v4) = v5) |  ~ (hAPP_nat_int(v3, v2) = v4) |  ~
% 266.23/41.35        (hAPP_int_int(v5, v4) = v6)))
% 266.23/41.35  
% 266.23/41.35    (fact_304_zero__less__double__add__iff__zero__less__single__add)
% 266.23/41.36    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) &  ? [v0:
% 266.23/41.36      fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 266.23/41.36      fun_int_bool(v0) &  ! [v1: int] :  ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1)
% 266.23/41.36          = v2) |  ~ int(v1) |  ? [v3: any] :  ? [v4: fun_int_int] :  ? [v5: int]
% 266.23/41.36        :  ? [v6: bool] :  ? [v7: any] : (plus_plus_int(v1) = v4 &
% 266.23/41.36          hAPP_int_int(v4, v1) = v5 & hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7
% 266.23/41.36          & hBOOL(v2) = v3 & fun_int_int(v4) & int(v5) & bool(v6) & ( ~ (v3 = 0) |
% 266.23/41.36            v7 = 0))) &  ! [v1: int] :  ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1)
% 266.23/41.36          = v2) |  ~ int(v1) |  ? [v3: fun_int_int] :  ? [v4: int] :  ? [v5: bool]
% 266.23/41.36        :  ? [v6: any] :  ? [v7: any] : (plus_plus_int(v1) = v3 & hAPP_int_int(v3,
% 266.23/41.36            v1) = v4 & hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v2) =
% 266.23/41.36          v7 & fun_int_int(v3) & int(v4) & bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 266.23/41.36  
% 266.23/41.36    (fact_35_zero__is__num__zero)
% 266.23/41.36    number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 266.23/41.36  
% 266.23/41.36    (fact_3_sum__power2__eq__zero__iff)
% 266.23/41.36    real(zero_zero_real) & int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :
% 266.23/41.36    (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 266.23/41.36      int(v1) & int(v0) &  ! [v3: real] :  ! [v4: real] :  ! [v5: fun_nat_real] : 
% 266.23/41.36      ! [v6: real] :  ! [v7: fun_real_real] :  ! [v8: fun_nat_real] :  ! [v9:
% 266.23/41.36        real] : ( ~ (plus_plus_real(v6) = v7) |  ~ (power_power_real(v4) = v8) | 
% 266.23/41.36        ~ (power_power_real(v3) = v5) |  ~ (hAPP_nat_real(v8, v2) = v9) |  ~
% 266.23/41.36        (hAPP_nat_real(v5, v2) = v6) |  ~ (hAPP_real_real(v7, v9) =
% 266.23/41.36          zero_zero_real) |  ~ real(v4) |  ~ real(v3) | (v4 = zero_zero_real & v3
% 266.23/41.36          = zero_zero_real)) &  ! [v3: fun_nat_real] :  ! [v4: real] :  ! [v5:
% 266.23/41.36        fun_real_real] :  ! [v6: real] : (v6 = zero_zero_real |  ~
% 266.23/41.36        (plus_plus_real(v4) = v5) |  ~ (power_power_real(zero_zero_real) = v3) | 
% 266.23/41.36        ~ (hAPP_nat_real(v3, v2) = v4) |  ~ (hAPP_real_real(v5, v4) = v6)))
% 266.23/41.36  
% 266.23/41.36    (fact_402_add__pos__pos)
% 266.23/41.36    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) &  ? [v0:
% 266.23/41.36      fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 266.23/41.36      fun_int_bool(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: bool] :  ! [v4:
% 266.23/41.36        bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) |  ~ (hAPP_int_bool(v0, v1) = v4)
% 266.23/41.36        |  ~ int(v2) |  ~ int(v1) |  ? [v5: any] :  ? [v6: any] :  ? [v7:
% 266.23/41.36          fun_int_int] :  ? [v8: int] :  ? [v9: bool] :  ? [v10: any] :
% 266.23/41.36        (plus_plus_int(v2) = v7 & hAPP_int_int(v7, v1) = v8 & hAPP_int_bool(v0,
% 266.23/41.36            v8) = v9 & hBOOL(v9) = v10 & hBOOL(v4) = v6 & hBOOL(v3) = v5 &
% 266.23/41.36          fun_int_int(v7) & int(v8) & bool(v9) & ( ~ (v6 = 0) |  ~ (v5 = 0) | v10
% 266.23/41.36            = 0))))
% 266.23/41.36  
% 266.23/41.36    (fact_40_int__1)
% 266.23/41.36    hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int &
% 266.23/41.36    fun_nat_int(semiri1621563631at_int) & nat(one_one_nat) & int(one_one_int)
% 266.23/41.36  
% 266.23/41.36    (fact_447_zless__le)
% 266.23/41.37    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) & 
% 266.23/41.37    ! [v0: int] :  ! [v1: int] :  ! [v2: fun_int_bool] :  ! [v3: bool] : (v1 = v0
% 266.23/41.37      |  ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) |  ~ (hAPP_int_bool(v2,
% 266.23/41.37          v1) = v3) |  ~ int(v1) |  ~ int(v0) |  ? [v4: fun_int_bool] :  ? [v5:
% 266.23/41.37        bool] :  ? [v6: any] :  ? [v7: any] :
% 266.23/41.37      (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v4 & hAPP_int_bool(v4, v1) =
% 266.23/41.37        v5 & hBOOL(v5) = v6 & hBOOL(v3) = v7 & fun_int_bool(v4) & bool(v5) & ( ~
% 266.23/41.37          (v6 = 0) | v7 = 0))) &  ! [v0: int] :  ! [v1: int] :  ! [v2:
% 266.23/41.37      fun_int_bool] :  ! [v3: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int,
% 266.23/41.37          v0) = v2) |  ~ (hAPP_int_bool(v2, v1) = v3) |  ~ int(v1) |  ~ int(v0) | 
% 266.23/41.37      ? [v4: any] :  ? [v5: fun_int_bool] :  ? [v6: bool] :  ? [v7: any] :
% 266.23/41.37      (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v5 & hAPP_int_bool(v5, v1) =
% 266.23/41.37        v6 & hBOOL(v6) = v7 & hBOOL(v3) = v4 & fun_int_bool(v5) & bool(v6) & ( ~
% 266.23/41.37          (v4 = 0) | (v7 = 0 &  ~ (v1 = v0)))))
% 266.23/41.37  
% 266.23/41.37    (fact_45_nat__1__add__1)
% 266.23/41.37    nat(one_one_nat) & int(pls) &  ? [v0: fun_nat_nat] :  ? [v1: nat] :  ? [v2:
% 266.23/41.37      int] :  ? [v3: int] : (plus_plus_nat(one_one_nat) = v0 & hAPP_nat_nat(v0,
% 266.23/41.37        one_one_nat) = v1 & bit1(pls) = v2 & bit0(v2) = v3 &
% 266.23/41.37      number_number_of_nat(v3) = v1 & fun_nat_nat(v0) & nat(v1) & int(v3) &
% 266.23/41.37      int(v2))
% 266.23/41.37  
% 266.23/41.37    (fact_463_le__special_I2_J)
% 266.23/41.37    fun_re413263731l_bool(ord_less_eq_real) &
% 266.23/41.37    fun_int_fun_int_bool(ord_less_eq_int) & real(one_one_real) & int(pls) &  ?
% 266.23/41.37    [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: fun_int_bool] :
% 266.23/41.37    (hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = v0 & bit1(pls) = v1
% 266.23/41.37      & hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 & fun_real_bool(v0) &
% 266.23/41.37      fun_int_bool(v2) & int(v1) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 266.23/41.37        (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: any] :  ? [v6: real] :
% 266.23/41.37         ? [v7: bool] :  ? [v8: any] : (hAPP_real_bool(v0, v6) = v7 &
% 266.23/41.37          number267125858f_real(v3) = v6 & hBOOL(v7) = v8 & hBOOL(v4) = v5 &
% 266.23/41.37          real(v6) & bool(v7) & ( ~ (v5 = 0) | v8 = 0))) &  ! [v3: int] :  ! [v4:
% 266.23/41.37        bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: real] :  ?
% 266.23/41.37        [v6: bool] :  ? [v7: any] :  ? [v8: any] : (hAPP_real_bool(v0, v5) = v6 &
% 266.23/41.37          number267125858f_real(v3) = v5 & hBOOL(v6) = v7 & hBOOL(v4) = v8 &
% 266.23/41.37          real(v5) & bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 266.23/41.37  
% 266.23/41.37    (fact_464_le__special_I2_J)
% 266.23/41.37    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(one_one_int) &  ? [v0:
% 266.23/41.37      fun_int_bool] :  ? [v1: int] :  ? [v2: fun_int_bool] : (bit1(pls) = v1 &
% 266.23/41.37      hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 &
% 266.23/41.37      hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 & fun_int_bool(v2)
% 266.23/41.37      & fun_int_bool(v0) & int(v1) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 266.23/41.37        (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: any] :  ? [v6: int] : 
% 266.23/41.37        ? [v7: bool] :  ? [v8: any] : (number_number_of_int(v3) = v6 &
% 266.23/41.37          hAPP_int_bool(v0, v6) = v7 & hBOOL(v7) = v8 & hBOOL(v4) = v5 & int(v6) &
% 266.23/41.37          bool(v7) & ( ~ (v5 = 0) | v8 = 0))) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 266.23/41.37        (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: int] :  ? [v6: bool] :
% 266.23/41.37         ? [v7: any] :  ? [v8: any] : (number_number_of_int(v3) = v5 &
% 266.23/41.37          hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v4) = v8 & int(v5) &
% 266.23/41.37          bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 266.23/41.37  
% 266.23/41.37    (fact_465_le__special_I4_J)
% 266.23/41.37    fun_re413263731l_bool(ord_less_eq_real) &
% 266.23/41.37    fun_int_fun_int_bool(ord_less_eq_int) & real(one_one_real) & int(pls) &  ?
% 266.23/41.37    [v0: int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2: fun_int_bool] :
% 266.23/41.37      ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) |  ~ int(v1) |  ?
% 266.23/41.37        [v3: bool] :  ? [v4: any] :  ? [v5: real] :  ? [v6: fun_real_bool] :  ?
% 266.23/41.37        [v7: bool] :  ? [v8: any] : (hAPP_r1134773055l_bool(ord_less_eq_real, v5)
% 266.23/41.37          = v6 & hAPP_real_bool(v6, one_one_real) = v7 & number267125858f_real(v1)
% 266.23/41.37          = v5 & hAPP_int_bool(v2, v0) = v3 & hBOOL(v7) = v8 & hBOOL(v3) = v4 &
% 266.23/41.37          fun_real_bool(v6) & real(v5) & bool(v7) & bool(v3) & ( ~ (v4 = 0) | v8 =
% 266.23/41.37            0))) &  ! [v1: int] :  ! [v2: fun_int_bool] : ( ~
% 266.23/41.37        (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) |  ~ int(v1) |  ? [v3:
% 266.23/41.37          real] :  ? [v4: fun_real_bool] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 266.23/41.37          bool] :  ? [v8: any] : (hAPP_r1134773055l_bool(ord_less_eq_real, v3) =
% 266.23/41.37          v4 & hAPP_real_bool(v4, one_one_real) = v5 & number267125858f_real(v1) =
% 266.23/41.37          v3 & hAPP_int_bool(v2, v0) = v7 & hBOOL(v7) = v8 & hBOOL(v5) = v6 &
% 266.23/41.37          fun_real_bool(v4) & real(v3) & bool(v7) & bool(v5) & ( ~ (v6 = 0) | v8 =
% 266.23/41.37            0))))
% 266.23/41.37  
% 266.23/41.37    (fact_466_le__special_I4_J)
% 266.23/41.38    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(one_one_int) &  ? [v0:
% 266.23/41.38      int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2: fun_int_bool] : (
% 266.23/41.38        ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) |  ~ int(v1) |  ?
% 266.23/41.38        [v3: bool] :  ? [v4: any] :  ? [v5: int] :  ? [v6: fun_int_bool] :  ? [v7:
% 266.23/41.38          bool] :  ? [v8: any] : (number_number_of_int(v1) = v5 &
% 266.23/41.38          hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6 & hAPP_int_bool(v6,
% 266.23/41.38            one_one_int) = v7 & hAPP_int_bool(v2, v0) = v3 & hBOOL(v7) = v8 &
% 266.23/41.38          hBOOL(v3) = v4 & fun_int_bool(v6) & int(v5) & bool(v7) & bool(v3) & ( ~
% 266.23/41.38            (v4 = 0) | v8 = 0))) &  ! [v1: int] :  ! [v2: fun_int_bool] : ( ~
% 266.23/41.38        (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) |  ~ int(v1) |  ? [v3:
% 266.23/41.38          int] :  ? [v4: fun_int_bool] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 266.23/41.38          bool] :  ? [v8: any] : (number_number_of_int(v1) = v3 &
% 266.23/41.38          hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4 & hAPP_int_bool(v4,
% 266.23/41.38            one_one_int) = v5 & hAPP_int_bool(v2, v0) = v7 & hBOOL(v7) = v8 &
% 266.23/41.38          hBOOL(v5) = v6 & fun_int_bool(v4) & int(v3) & bool(v7) & bool(v5) & ( ~
% 266.23/41.38            (v6 = 0) | v8 = 0))))
% 266.23/41.38  
% 266.23/41.38    (fact_48_rel__simps_I2_J)
% 266.23/41.38    fun_int_fun_int_bool(ord_less_int) & int(pls) &  ? [v0: fun_int_bool] :  ?
% 266.23/41.38    [v1: bool] :  ? [v2: int] : ( ~ (v2 = 0) &
% 266.23/41.38      hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & hAPP_int_bool(v0, pls) = v1
% 266.23/41.38      & hBOOL(v1) = v2 & fun_int_bool(v0) & bool(v1))
% 266.23/41.38  
% 266.23/41.38    (fact_4_one__power2)
% 266.23/41.38    int(pls) & int(one_one_int) &  ? [v0: fun_nat_int] :  ? [v1: int] :  ? [v2:
% 266.23/41.38      int] :  ? [v3: nat] : (bit1(pls) = v1 & bit0(v1) = v2 &
% 266.23/41.38      number_number_of_nat(v2) = v3 & power_power_int(one_one_int) = v0 &
% 266.23/41.38      hAPP_nat_int(v0, v3) = one_one_int & fun_nat_int(v0) & nat(v3) & int(v2) &
% 266.23/41.38      int(v1))
% 266.23/41.38  
% 266.23/41.38    (fact_532_semiring__1__add__number__of)
% 266.23/41.38    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(one_one_int) &  ? [v0:
% 266.23/41.38      fun_int_bool] :  ? [v1: fun_int_int] :
% 266.23/41.38    (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 &
% 266.23/41.38      plus_plus_int(one_one_int) = v1 & fun_int_int(v1) & fun_int_bool(v0) &  !
% 266.23/41.38      [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) |  ~ int(v2) | 
% 266.23/41.38        ? [v4: any] :  ? [v5: int] :  ? [v6: int] :  ? [v7: int] :  ? [v8: int] :
% 266.23/41.38        (succ(v2) = v7 & number_number_of_int(v7) = v8 & number_number_of_int(v2)
% 266.23/41.38          = v5 & hAPP_int_int(v1, v5) = v6 & hBOOL(v3) = v4 & int(v8) & int(v7) &
% 266.23/41.38          int(v6) & int(v5) & ( ~ (v4 = 0) | v8 = v6))))
% 266.23/41.38  
% 266.23/41.38    (fact_538_add__pos__nonneg)
% 266.23/41.38    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.38    int(zero_zero_int) &  ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 266.23/41.38    (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 266.23/41.38      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 266.23/41.38      & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: int] :  ! [v4: bool] :  ! [v5:
% 266.23/41.38        bool] : ( ~ (hAPP_int_bool(v1, v2) = v5) |  ~ (hAPP_int_bool(v0, v3) = v4)
% 266.23/41.38        |  ~ int(v3) |  ~ int(v2) |  ? [v6: any] :  ? [v7: any] :  ? [v8:
% 266.23/41.38          fun_int_int] :  ? [v9: int] :  ? [v10: bool] :  ? [v11: any] :
% 266.23/41.38        (plus_plus_int(v3) = v8 & hAPP_int_int(v8, v2) = v9 & hAPP_int_bool(v0,
% 266.23/41.38            v9) = v10 & hBOOL(v10) = v11 & hBOOL(v5) = v7 & hBOOL(v4) = v6 &
% 266.23/41.38          fun_int_int(v8) & int(v9) & bool(v10) & ( ~ (v7 = 0) |  ~ (v6 = 0) | v11
% 266.23/41.38            = 0))))
% 266.23/41.38  
% 266.23/41.38    (fact_53_one__is__num__one)
% 266.23/41.38    int(pls) & int(one_one_int) &  ? [v0: int] : (number_number_of_int(v0) =
% 266.23/41.38      one_one_int & bit1(pls) = v0 & int(v0))
% 266.23/41.38  
% 266.23/41.38    (fact_541_add__nonneg__pos)
% 266.23/41.38    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.38    int(zero_zero_int) &  ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 266.23/41.38    (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.23/41.38      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 266.23/41.38      & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: int] :  ! [v4: bool] :  ! [v5:
% 266.23/41.38        bool] : ( ~ (hAPP_int_bool(v1, v2) = v5) |  ~ (hAPP_int_bool(v0, v3) = v4)
% 266.23/41.38        |  ~ int(v3) |  ~ int(v2) |  ? [v6: any] :  ? [v7: any] :  ? [v8:
% 266.23/41.38          fun_int_int] :  ? [v9: int] :  ? [v10: bool] :  ? [v11: any] :
% 266.23/41.38        (plus_plus_int(v3) = v8 & hAPP_int_int(v8, v2) = v9 & hAPP_int_bool(v1,
% 266.23/41.38            v9) = v10 & hBOOL(v10) = v11 & hBOOL(v5) = v7 & hBOOL(v4) = v6 &
% 266.23/41.38          fun_int_int(v8) & int(v9) & bool(v10) & ( ~ (v7 = 0) |  ~ (v6 = 0) | v11
% 266.23/41.38            = 0))))
% 266.23/41.38  
% 266.23/41.38    (fact_544_add__strict__increasing)
% 266.23/41.38    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.38    int(zero_zero_int) &  ? [v0: fun_int_bool] :
% 266.23/41.38    (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 266.23/41.38       ! [v1: int] :  ! [v2: int] :  ! [v3: int] :  ! [v4: fun_int_bool] :  ! [v5:
% 266.23/41.38        fun_int_int] :  ! [v6: int] :  ! [v7: bool] : ( ~
% 266.23/41.38        (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) |  ~ (plus_plus_int(v3) =
% 266.23/41.38          v5) |  ~ (hAPP_int_int(v5, v2) = v6) |  ~ (hAPP_int_bool(v4, v6) = v7) |
% 266.23/41.38         ~ int(v3) |  ~ int(v2) |  ~ int(v1) |  ? [v8: bool] :  ? [v9: any] :  ?
% 266.23/41.38        [v10: fun_int_bool] :  ? [v11: bool] :  ? [v12: any] :  ? [v13: any] :
% 266.23/41.38        (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v10 & hAPP_int_bool(v10,
% 266.23/41.38            v2) = v11 & hAPP_int_bool(v0, v3) = v8 & hBOOL(v11) = v12 & hBOOL(v8)
% 266.23/41.38          = v9 & hBOOL(v7) = v13 & fun_int_bool(v10) & bool(v11) & bool(v8) & ( ~
% 266.23/41.38            (v12 = 0) |  ~ (v9 = 0) | v13 = 0))))
% 266.23/41.38  
% 266.23/41.38    (fact_547_add__strict__increasing2)
% 266.23/41.39    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.23/41.39    int(zero_zero_int) &  ? [v0: fun_int_bool] :
% 266.23/41.39    (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.23/41.39      fun_int_bool(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: int] :  ! [v4:
% 266.23/41.39        fun_int_bool] :  ! [v5: fun_int_int] :  ! [v6: int] :  ! [v7: bool] : ( ~
% 266.23/41.39        (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) |  ~ (plus_plus_int(v3) =
% 266.23/41.39          v5) |  ~ (hAPP_int_int(v5, v2) = v6) |  ~ (hAPP_int_bool(v4, v6) = v7) |
% 266.23/41.39         ~ int(v3) |  ~ int(v2) |  ~ int(v1) |  ? [v8: bool] :  ? [v9: any] :  ?
% 266.23/41.39        [v10: bool] :  ? [v11: any] :  ? [v12: any] : (hAPP_int_bool(v4, v2) = v10
% 266.23/41.39          & hAPP_int_bool(v0, v3) = v8 & hBOOL(v10) = v11 & hBOOL(v8) = v9 &
% 266.23/41.39          hBOOL(v7) = v12 & bool(v10) & bool(v8) & ( ~ (v11 = 0) |  ~ (v9 = 0) |
% 266.23/41.39            v12 = 0))))
% 266.23/41.39  
% 266.23/41.39    (fact_54_nat__numeral__1__eq__1)
% 266.23/41.39    nat(one_one_nat) & int(pls) &  ? [v0: int] : (bit1(pls) = v0 &
% 266.23/41.39      number_number_of_nat(v0) = one_one_nat & int(v0))
% 266.23/41.39  
% 266.23/41.39    (fact_559_rel__simps_I5_J)
% 266.44/41.39    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.44/41.39    int(pls) &  ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 266.44/41.39    (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 &
% 266.44/41.39      hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & fun_int_bool(v1) &
% 266.44/41.39      fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 266.44/41.39          = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5: int] :  ? [v6: bool] :  ?
% 266.44/41.39        [v7: any] : (bit1(v2) = v5 & hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 &
% 266.44/41.39          hBOOL(v3) = v4 & int(v5) & bool(v6) & ( ~ (v4 = 0) | v7 = 0))) &  ! [v2:
% 266.44/41.39        int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) |  ~ int(v2) |  ?
% 266.44/41.39        [v4: int] :  ? [v5: bool] :  ? [v6: any] :  ? [v7: any] : (bit1(v2) = v4 &
% 266.44/41.39          hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v3) = v7 & int(v4) &
% 266.44/41.39          bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 266.44/41.39  
% 266.44/41.39    (fact_55_Numeral1__eq1__nat)
% 266.44/41.39    nat(one_one_nat) & int(pls) &  ? [v0: int] : (bit1(pls) = v0 &
% 266.44/41.39      number_number_of_nat(v0) = one_one_nat & int(v0))
% 266.44/41.39  
% 266.44/41.39    (fact_565_int__one__le__iff__zero__less)
% 266.44/41.39    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.44/41.39    int(zero_zero_int) & int(one_one_int) &  ? [v0: fun_int_bool] :  ? [v1:
% 266.44/41.39      fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 &
% 266.44/41.39      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 266.44/41.39      & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v0,
% 266.44/41.39            v2) = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5: bool] :  ? [v6: any] :
% 266.44/41.39        (hAPP_int_bool(v1, v2) = v5 & hBOOL(v5) = v6 & hBOOL(v3) = v4 & bool(v5) &
% 266.44/41.39          ( ~ (v4 = 0) | v6 = 0))) &  ! [v2: int] :  ! [v3: bool] : ( ~
% 266.44/41.39        (hAPP_int_bool(v0, v2) = v3) |  ~ int(v2) |  ? [v4: bool] :  ? [v5: any] :
% 266.44/41.39         ? [v6: any] : (hAPP_int_bool(v1, v2) = v4 & hBOOL(v4) = v5 & hBOOL(v3) =
% 266.44/41.39          v6 & bool(v4) & ( ~ (v5 = 0) | v6 = 0))))
% 266.44/41.39  
% 266.44/41.39    (fact_567_succ__Pls)
% 266.44/41.39    int(pls) &  ? [v0: int] : (succ(pls) = v0 & bit1(pls) = v0 & int(v0))
% 266.44/41.39  
% 266.44/41.39    (fact_580_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 266.44/41.39    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.39    [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: int] :  ? [v4:
% 266.44/41.39      bool] : (number_number_of_int(v2) = v3 & bit1(v1) = v2 & bit1(pls) = v1 &
% 266.44/41.39      hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.44/41.39      hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0 & fun_int_bool(v0) & int(v3) &
% 266.44/41.39      int(v2) & int(v1) & bool(v4))
% 266.44/41.39  
% 266.44/41.39    (fact_581_le__imp__0__less)
% 266.44/41.39    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.44/41.39    int(zero_zero_int) & int(one_one_int) &  ? [v0: fun_int_bool] :  ? [v1:
% 266.44/41.39      fun_int_bool] :  ? [v2: fun_int_int] :
% 266.44/41.39    (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.44/41.39      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 266.44/41.39      plus_plus_int(one_one_int) = v2 & fun_int_int(v2) & fun_int_bool(v1) &
% 266.44/41.39      fun_int_bool(v0) &  ! [v3: int] :  ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v3)
% 266.44/41.39          = v4) |  ~ int(v3) |  ? [v5: any] :  ? [v6: int] :  ? [v7: bool] :  ?
% 266.44/41.39        [v8: any] : (hAPP_int_int(v2, v3) = v6 & hAPP_int_bool(v1, v6) = v7 &
% 266.44/41.39          hBOOL(v7) = v8 & hBOOL(v4) = v5 & int(v6) & bool(v7) & ( ~ (v5 = 0) | v8
% 266.44/41.39            = 0))))
% 266.44/41.39  
% 266.44/41.39    (fact_583_number__of__succ)
% 266.44/41.39    int(one_one_int) &  ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 266.44/41.39      fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] : ( ~ (succ(v1) = v2) |  ~
% 266.44/41.39        int(v1) |  ? [v3: int] :  ? [v4: int] : (number_number_of_int(v2) = v3 &
% 266.44/41.39          number_number_of_int(v1) = v4 & hAPP_int_int(v0, v4) = v3 & int(v4) &
% 266.44/41.39          int(v3))))
% 266.44/41.39  
% 266.44/41.39    (fact_588_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 266.44/41.39    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.39    [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: int] :  ? [v4:
% 266.44/41.39      bool] : (number_number_of_int(v2) = v3 & bit1(pls) = v1 & bit0(v1) = v2 &
% 266.44/41.39      hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.44/41.39      hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0 & fun_int_bool(v0) & int(v3) &
% 266.44/41.39      int(v2) & int(v1) & bool(v4))
% 266.44/41.39  
% 266.44/41.39    (fact_589_power2__ge__self)
% 266.44/41.39    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) &  ? [v0: int] :  ? [v1: int]
% 266.44/41.39    :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) =
% 266.44/41.40      v2 & nat(v2) & int(v1) & int(v0) &  ! [v3: int] :  ! [v4: fun_int_bool] :  !
% 266.44/41.40      [v5: fun_nat_int] :  ! [v6: int] :  ! [v7: bool] : ( ~ (power_power_int(v3)
% 266.44/41.40          = v5) |  ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) |  ~
% 266.44/41.40        (hAPP_nat_int(v5, v2) = v6) |  ~ (hAPP_int_bool(v4, v6) = v7) |  ~ int(v3)
% 266.44/41.40        | hBOOL(v7) = 0))
% 266.44/41.40  
% 266.44/41.40    (fact_590_zero__le__power2)
% 266.44/41.40    fun_re413263731l_bool(ord_less_eq_real) & real(zero_zero_real) & int(pls) &  ?
% 266.44/41.40    [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 266.44/41.40    (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 & bit1(pls) =
% 266.44/41.40      v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 & fun_real_bool(v0) &
% 266.44/41.40      nat(v3) & int(v2) & int(v1) &  ! [v4: real] :  ! [v5: fun_nat_real] : ( ~
% 266.44/41.40        (power_power_real(v4) = v5) |  ~ real(v4) |  ? [v6: real] :  ? [v7: bool]
% 266.44/41.40        : (hAPP_real_bool(v0, v6) = v7 & hAPP_nat_real(v5, v3) = v6 & hBOOL(v7) =
% 266.44/41.40          0 & real(v6) & bool(v7))))
% 266.44/41.40  
% 266.44/41.40    (fact_591_zero__le__power2)
% 266.44/41.40    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.40    [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] : (bit1(pls) =
% 266.44/41.40      v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 266.44/41.40      hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.44/41.40      fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  ! [v5:
% 266.44/41.40        fun_nat_int] : ( ~ (power_power_int(v4) = v5) |  ~ int(v4) |  ? [v6: int]
% 266.44/41.40        :  ? [v7: bool] : (hAPP_nat_int(v5, v3) = v6 & hAPP_int_bool(v0, v6) = v7
% 266.44/41.40          & hBOOL(v7) = 0 & int(v6) & bool(v7))))
% 266.44/41.40  
% 266.44/41.40    (fact_592_power2__le__imp__le)
% 266.44/41.40    fun_re413263731l_bool(ord_less_eq_real) & real(zero_zero_real) & int(pls) &  ?
% 266.44/41.40    [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_real_bool] :
% 266.44/41.40    (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v3 & bit1(pls) =
% 266.44/41.40      v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & fun_real_bool(v3) &
% 266.44/41.40      nat(v2) & int(v1) & int(v0) &  ! [v4: real] :  ! [v5: real] :  ! [v6:
% 266.44/41.40        fun_nat_real] :  ! [v7: real] :  ! [v8: fun_real_bool] :  ! [v9:
% 266.44/41.40        fun_nat_real] :  ! [v10: real] :  ! [v11: bool] : ( ~
% 266.44/41.40        (hAPP_r1134773055l_bool(ord_less_eq_real, v7) = v8) |  ~
% 266.44/41.40        (hAPP_real_bool(v8, v10) = v11) |  ~ (power_power_real(v5) = v9) |  ~
% 266.44/41.40        (power_power_real(v4) = v6) |  ~ (hAPP_nat_real(v9, v2) = v10) |  ~
% 266.44/41.40        (hAPP_nat_real(v6, v2) = v7) |  ~ real(v5) |  ~ real(v4) |  ? [v12: any] :
% 266.44/41.40         ? [v13: bool] :  ? [v14: any] :  ? [v15: fun_real_bool] :  ? [v16: bool]
% 266.44/41.40        :  ? [v17: any] : (hAPP_r1134773055l_bool(ord_less_eq_real, v4) = v15 &
% 266.44/41.40          hAPP_real_bool(v15, v5) = v16 & hAPP_real_bool(v3, v5) = v13 &
% 266.44/41.40          hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 266.44/41.40          fun_real_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~ (v12 =
% 266.44/41.40              0) | v17 = 0))))
% 266.44/41.40  
% 266.44/41.40    (fact_593_power2__le__imp__le)
% 266.44/41.40    fun_nat_fun_nat_bool(ord_less_eq_nat) & nat(zero_zero_nat) & int(pls) &  ?
% 266.44/41.40    [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_nat_bool] :
% 266.44/41.40    (hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = v3 & bit1(pls) = v0
% 266.44/41.40      & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & fun_nat_bool(v3) & nat(v2)
% 266.44/41.40      & int(v1) & int(v0) &  ! [v4: nat] :  ! [v5: nat] :  ! [v6: fun_nat_nat] : 
% 266.44/41.40      ! [v7: nat] :  ! [v8: fun_nat_bool] :  ! [v9: fun_nat_nat] :  ! [v10: nat] :
% 266.44/41.40       ! [v11: bool] : ( ~ (hAPP_n1699378549t_bool(ord_less_eq_nat, v7) = v8) |  ~
% 266.44/41.40        (hAPP_nat_bool(v8, v10) = v11) |  ~ (power_power_nat(v5) = v9) |  ~
% 266.44/41.40        (power_power_nat(v4) = v6) |  ~ (hAPP_nat_nat(v9, v2) = v10) |  ~
% 266.44/41.40        (hAPP_nat_nat(v6, v2) = v7) |  ~ nat(v5) |  ~ nat(v4) |  ? [v12: any] :  ?
% 266.44/41.40        [v13: bool] :  ? [v14: any] :  ? [v15: fun_nat_bool] :  ? [v16: bool] :  ?
% 266.44/41.40        [v17: any] : (hAPP_n1699378549t_bool(ord_less_eq_nat, v4) = v15 &
% 266.44/41.40          hAPP_nat_bool(v15, v5) = v16 & hAPP_nat_bool(v3, v5) = v13 & hBOOL(v16)
% 266.44/41.40          = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 & fun_nat_bool(v15) &
% 266.44/41.40          bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~ (v12 = 0) | v17 = 0))))
% 266.44/41.40  
% 266.44/41.40    (fact_594_power2__le__imp__le)
% 266.44/41.40    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.40    [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_int_bool] : (bit1(pls) =
% 266.44/41.40      v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 266.44/41.40      hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v3 &
% 266.44/41.40      fun_int_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: int] :  ! [v5: int]
% 266.44/41.40      :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8: fun_int_bool] :  ! [v9:
% 266.44/41.40        fun_nat_int] :  ! [v10: int] :  ! [v11: bool] : ( ~ (power_power_int(v5) =
% 266.44/41.40          v9) |  ~ (power_power_int(v4) = v6) |  ~
% 266.44/41.40        (hAPP_i1948725293t_bool(ord_less_eq_int, v7) = v8) |  ~ (hAPP_nat_int(v9,
% 266.44/41.40            v2) = v10) |  ~ (hAPP_nat_int(v6, v2) = v7) |  ~ (hAPP_int_bool(v8,
% 266.44/41.40            v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ? [v12: any] :  ? [v13: bool]
% 266.44/41.40        :  ? [v14: any] :  ? [v15: fun_int_bool] :  ? [v16: bool] :  ? [v17: any]
% 266.44/41.40        : (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v15 & hAPP_int_bool(v15,
% 266.44/41.40            v5) = v16 & hAPP_int_bool(v3, v5) = v13 & hBOOL(v16) = v17 &
% 266.44/41.40          hBOOL(v13) = v14 & hBOOL(v11) = v12 & fun_int_bool(v15) & bool(v16) &
% 266.44/41.40          bool(v13) & ( ~ (v14 = 0) |  ~ (v12 = 0) | v17 = 0))))
% 266.44/41.40  
% 266.44/41.40    (fact_595_power2__eq__imp__eq)
% 266.44/41.40    fun_re413263731l_bool(ord_less_eq_real) & real(zero_zero_real) & int(pls) &  ?
% 266.44/41.40    [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_real_bool] :
% 266.44/41.40    (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v3 & bit1(pls) =
% 266.44/41.40      v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & fun_real_bool(v3) &
% 266.44/41.40      nat(v2) & int(v1) & int(v0) &  ! [v4: real] :  ! [v5: real] :  ! [v6: bool]
% 266.44/41.40      :  ! [v7: bool] : (v5 = v4 |  ~ (hAPP_real_bool(v3, v5) = v7) |  ~
% 266.44/41.40        (hAPP_real_bool(v3, v4) = v6) |  ~ real(v5) |  ~ real(v4) |  ? [v8:
% 266.44/41.40          fun_nat_real] :  ? [v9: real] :  ? [v10: fun_nat_real] :  ? [v11: real]
% 266.44/41.40        :  ? [v12: any] :  ? [v13: any] : (power_power_real(v5) = v10 &
% 266.44/41.40          power_power_real(v4) = v8 & hAPP_nat_real(v10, v2) = v11 &
% 266.44/41.40          hAPP_nat_real(v8, v2) = v9 & hBOOL(v7) = v13 & hBOOL(v6) = v12 &
% 266.44/41.40          fun_nat_real(v10) & fun_nat_real(v8) & real(v11) & real(v9) & ( ~ (v13 =
% 266.44/41.40              0) |  ~ (v12 = 0) |  ~ (v11 = v9)))))
% 266.44/41.40  
% 266.44/41.40    (fact_596_power2__eq__imp__eq)
% 266.44/41.41    fun_nat_fun_nat_bool(ord_less_eq_nat) & nat(zero_zero_nat) & int(pls) &  ?
% 266.44/41.41    [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_nat_bool] :
% 266.44/41.41    (hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = v3 & bit1(pls) = v0
% 266.44/41.41      & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & fun_nat_bool(v3) & nat(v2)
% 266.44/41.41      & int(v1) & int(v0) &  ! [v4: nat] :  ! [v5: nat] :  ! [v6: bool] :  ! [v7:
% 266.44/41.41        bool] : (v5 = v4 |  ~ (hAPP_nat_bool(v3, v5) = v7) |  ~ (hAPP_nat_bool(v3,
% 266.44/41.41            v4) = v6) |  ~ nat(v5) |  ~ nat(v4) |  ? [v8: fun_nat_nat] :  ? [v9:
% 266.44/41.41          nat] :  ? [v10: fun_nat_nat] :  ? [v11: nat] :  ? [v12: any] :  ? [v13:
% 266.44/41.41          any] : (power_power_nat(v5) = v10 & power_power_nat(v4) = v8 &
% 266.44/41.41          hAPP_nat_nat(v10, v2) = v11 & hAPP_nat_nat(v8, v2) = v9 & hBOOL(v7) =
% 266.44/41.41          v13 & hBOOL(v6) = v12 & fun_nat_nat(v10) & fun_nat_nat(v8) & nat(v11) &
% 266.44/41.41          nat(v9) & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = v9)))))
% 266.44/41.41  
% 266.44/41.41    (fact_597_power2__eq__imp__eq)
% 266.44/41.41    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.41    [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_int_bool] : (bit1(pls) =
% 266.44/41.41      v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 266.44/41.41      hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v3 &
% 266.44/41.41      fun_int_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: int] :  ! [v5: int]
% 266.44/41.41      :  ! [v6: bool] :  ! [v7: bool] : (v5 = v4 |  ~ (hAPP_int_bool(v3, v5) = v7)
% 266.44/41.41        |  ~ (hAPP_int_bool(v3, v4) = v6) |  ~ int(v5) |  ~ int(v4) |  ? [v8:
% 266.44/41.41          fun_nat_int] :  ? [v9: int] :  ? [v10: fun_nat_int] :  ? [v11: int] :  ?
% 266.44/41.41        [v12: any] :  ? [v13: any] : (power_power_int(v5) = v10 &
% 266.44/41.41          power_power_int(v4) = v8 & hAPP_nat_int(v10, v2) = v11 &
% 266.44/41.41          hAPP_nat_int(v8, v2) = v9 & hBOOL(v7) = v13 & hBOOL(v6) = v12 &
% 266.44/41.41          fun_nat_int(v10) & fun_nat_int(v8) & int(v11) & int(v9) & ( ~ (v13 = 0)
% 266.44/41.41            |  ~ (v12 = 0) |  ~ (v11 = v9)))))
% 266.44/41.41  
% 266.44/41.41    (fact_5_one__power2)
% 266.44/41.41    nat(one_one_nat) & int(pls) &  ? [v0: fun_nat_nat] :  ? [v1: int] :  ? [v2:
% 266.44/41.41      int] :  ? [v3: nat] : (power_power_nat(one_one_nat) = v0 & hAPP_nat_nat(v0,
% 266.44/41.41        v3) = one_one_nat & bit1(pls) = v1 & bit0(v1) = v2 &
% 266.44/41.41      number_number_of_nat(v2) = v3 & fun_nat_nat(v0) & nat(v3) & int(v2) &
% 266.44/41.41      int(v1))
% 266.44/41.41  
% 266.44/41.41    (fact_600_power2__less__imp__less)
% 266.44/41.41    fun_re413263731l_bool(ord_less_eq_real) & fun_re413263731l_bool(ord_less_real)
% 266.44/41.41    & real(zero_zero_real) & int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat]
% 266.44/41.41    :  ? [v3: fun_real_bool] : (hAPP_r1134773055l_bool(ord_less_eq_real,
% 266.44/41.41        zero_zero_real) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 266.44/41.41      number_number_of_nat(v1) = v2 & fun_real_bool(v3) & nat(v2) & int(v1) &
% 266.44/41.41      int(v0) &  ! [v4: real] :  ! [v5: real] :  ! [v6: fun_nat_real] :  ! [v7:
% 266.44/41.41        real] :  ! [v8: fun_real_bool] :  ! [v9: fun_nat_real] :  ! [v10: real] : 
% 266.44/41.41      ! [v11: bool] : ( ~ (hAPP_r1134773055l_bool(ord_less_real, v7) = v8) |  ~
% 266.44/41.41        (hAPP_real_bool(v8, v10) = v11) |  ~ (power_power_real(v5) = v9) |  ~
% 266.44/41.41        (power_power_real(v4) = v6) |  ~ (hAPP_nat_real(v9, v2) = v10) |  ~
% 266.44/41.41        (hAPP_nat_real(v6, v2) = v7) |  ~ real(v5) |  ~ real(v4) |  ? [v12: any] :
% 266.44/41.41         ? [v13: bool] :  ? [v14: any] :  ? [v15: fun_real_bool] :  ? [v16: bool]
% 266.44/41.41        :  ? [v17: any] : (hAPP_r1134773055l_bool(ord_less_real, v4) = v15 &
% 266.44/41.41          hAPP_real_bool(v15, v5) = v16 & hAPP_real_bool(v3, v5) = v13 &
% 266.44/41.41          hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 266.44/41.41          fun_real_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~ (v12 =
% 266.44/41.41              0) | v17 = 0))))
% 266.44/41.41  
% 266.44/41.41    (fact_601_power2__less__imp__less)
% 266.44/41.41    fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_nat_fun_nat_bool(ord_less_nat) &
% 266.44/41.41    nat(zero_zero_nat) & int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : 
% 266.44/41.41    ? [v3: fun_nat_bool] : (hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat)
% 266.44/41.41      = v3 & bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 266.44/41.41      fun_nat_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: nat] :  ! [v5: nat]
% 266.44/41.41      :  ! [v6: fun_nat_nat] :  ! [v7: nat] :  ! [v8: fun_nat_bool] :  ! [v9:
% 266.44/41.41        fun_nat_nat] :  ! [v10: nat] :  ! [v11: bool] : ( ~
% 266.44/41.41        (hAPP_n1699378549t_bool(ord_less_nat, v7) = v8) |  ~ (hAPP_nat_bool(v8,
% 266.44/41.41            v10) = v11) |  ~ (power_power_nat(v5) = v9) |  ~ (power_power_nat(v4)
% 266.44/41.41          = v6) |  ~ (hAPP_nat_nat(v9, v2) = v10) |  ~ (hAPP_nat_nat(v6, v2) = v7)
% 266.44/41.41        |  ~ nat(v5) |  ~ nat(v4) |  ? [v12: any] :  ? [v13: bool] :  ? [v14: any]
% 266.44/41.41        :  ? [v15: fun_nat_bool] :  ? [v16: bool] :  ? [v17: any] :
% 266.44/41.41        (hAPP_n1699378549t_bool(ord_less_nat, v4) = v15 & hAPP_nat_bool(v15, v5) =
% 266.44/41.41          v16 & hAPP_nat_bool(v3, v5) = v13 & hBOOL(v16) = v17 & hBOOL(v13) = v14
% 266.44/41.41          & hBOOL(v11) = v12 & fun_nat_bool(v15) & bool(v16) & bool(v13) & ( ~
% 266.44/41.41            (v14 = 0) |  ~ (v12 = 0) | v17 = 0))))
% 266.44/41.41  
% 266.44/41.41    (fact_602_power2__less__imp__less)
% 266.44/41.41    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.44/41.41    int(pls) & int(zero_zero_int) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : 
% 266.44/41.41    ? [v3: fun_int_bool] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 266.44/41.41      number_number_of_nat(v1) = v2 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 266.44/41.41        zero_zero_int) = v3 & fun_int_bool(v3) & nat(v2) & int(v1) & int(v0) &  !
% 266.44/41.41      [v4: int] :  ! [v5: int] :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8:
% 266.44/41.41        fun_int_bool] :  ! [v9: fun_nat_int] :  ! [v10: int] :  ! [v11: bool] : (
% 266.44/41.41        ~ (power_power_int(v5) = v9) |  ~ (power_power_int(v4) = v6) |  ~
% 266.44/41.41        (hAPP_i1948725293t_bool(ord_less_int, v7) = v8) |  ~ (hAPP_nat_int(v9, v2)
% 266.44/41.41          = v10) |  ~ (hAPP_nat_int(v6, v2) = v7) |  ~ (hAPP_int_bool(v8, v10) =
% 266.44/41.41          v11) |  ~ int(v5) |  ~ int(v4) |  ? [v12: any] :  ? [v13: bool] :  ?
% 266.44/41.41        [v14: any] :  ? [v15: fun_int_bool] :  ? [v16: bool] :  ? [v17: any] :
% 266.44/41.41        (hAPP_i1948725293t_bool(ord_less_int, v4) = v15 & hAPP_int_bool(v15, v5) =
% 266.44/41.41          v16 & hAPP_int_bool(v3, v5) = v13 & hBOOL(v16) = v17 & hBOOL(v13) = v14
% 266.44/41.41          & hBOOL(v11) = v12 & fun_int_bool(v15) & bool(v16) & bool(v13) & ( ~
% 266.44/41.41            (v14 = 0) |  ~ (v12 = 0) | v17 = 0))))
% 266.44/41.41  
% 266.44/41.41    (fact_603_sum__power2__ge__zero)
% 266.44/41.42    fun_re413263731l_bool(ord_less_eq_real) & real(zero_zero_real) & int(pls) &  ?
% 266.44/41.42    [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 266.44/41.42    (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 & bit1(pls) =
% 266.44/41.42      v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 & fun_real_bool(v0) &
% 266.44/41.42      nat(v3) & int(v2) & int(v1) &  ! [v4: real] :  ! [v5: real] :  ! [v6:
% 266.44/41.42        fun_nat_real] :  ! [v7: real] :  ! [v8: fun_real_real] :  ! [v9:
% 266.44/41.42        fun_nat_real] :  ! [v10: real] :  ! [v11: real] : ( ~ (plus_plus_real(v7)
% 266.44/41.42          = v8) |  ~ (power_power_real(v5) = v9) |  ~ (power_power_real(v4) = v6)
% 266.44/41.42        |  ~ (hAPP_nat_real(v9, v3) = v10) |  ~ (hAPP_nat_real(v6, v3) = v7) |  ~
% 266.44/41.42        (hAPP_real_real(v8, v10) = v11) |  ~ real(v5) |  ~ real(v4) |  ? [v12:
% 266.44/41.42          bool] : (hAPP_real_bool(v0, v11) = v12 & hBOOL(v12) = 0 & bool(v12))))
% 266.44/41.42  
% 266.44/41.42    (fact_604_sum__power2__ge__zero)
% 266.44/41.42    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.42    [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] : (bit1(pls) =
% 266.44/41.42      v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 266.44/41.42      hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.44/41.42      fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  ! [v5: int]
% 266.44/41.42      :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8: fun_int_int] :  ! [v9:
% 266.44/41.42        fun_nat_int] :  ! [v10: int] :  ! [v11: int] : ( ~ (power_power_int(v5) =
% 266.44/41.42          v9) |  ~ (power_power_int(v4) = v6) |  ~ (plus_plus_int(v7) = v8) |  ~
% 266.44/41.42        (hAPP_nat_int(v9, v3) = v10) |  ~ (hAPP_nat_int(v6, v3) = v7) |  ~
% 266.44/41.42        (hAPP_int_int(v8, v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ? [v12: bool] :
% 266.44/41.42        (hAPP_int_bool(v0, v11) = v12 & hBOOL(v12) = 0 & bool(v12))))
% 266.44/41.42  
% 266.44/41.42    (fact_605_sum__power2__le__zero__iff)
% 266.44/41.42    fun_re413263731l_bool(ord_less_eq_real) & real(zero_zero_real) & int(pls) &  ?
% 266.44/41.42    [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 266.44/41.42      number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) &  ! [v3: real]
% 266.44/41.42      :  ! [v4: real] :  ! [v5: fun_nat_real] :  ! [v6: real] :  ! [v7:
% 266.44/41.42        fun_real_real] :  ! [v8: fun_nat_real] :  ! [v9: real] :  ! [v10: real] :
% 266.44/41.42      ( ~ (plus_plus_real(v6) = v7) |  ~ (power_power_real(v4) = v8) |  ~
% 266.44/41.42        (power_power_real(v3) = v5) |  ~ (hAPP_nat_real(v8, v2) = v9) |  ~
% 266.44/41.42        (hAPP_nat_real(v5, v2) = v6) |  ~ (hAPP_real_real(v7, v9) = v10) |  ~
% 266.44/41.42        real(v4) |  ~ real(v3) |  ? [v11: fun_real_bool] :  ? [v12: bool] :  ?
% 266.44/41.42        [v13: int] : ( ~ (v13 = 0) & hAPP_r1134773055l_bool(ord_less_eq_real, v10)
% 266.44/41.42          = v11 & hAPP_real_bool(v11, zero_zero_real) = v12 & hBOOL(v12) = v13 &
% 266.44/41.42          fun_real_bool(v11) & bool(v12)) | (v4 = zero_zero_real & v3 =
% 266.44/41.42          zero_zero_real)) &  ! [v3: fun_nat_real] :  ! [v4: real] :  ! [v5:
% 266.44/41.42        fun_real_real] :  ! [v6: real] : ( ~ (plus_plus_real(v4) = v5) |  ~
% 266.44/41.42        (power_power_real(zero_zero_real) = v3) |  ~ (hAPP_nat_real(v3, v2) = v4)
% 266.44/41.42        |  ~ (hAPP_real_real(v5, v4) = v6) |  ? [v7: fun_real_bool] :  ? [v8:
% 266.44/41.42          bool] : (hAPP_r1134773055l_bool(ord_less_eq_real, v6) = v7 &
% 266.44/41.42          hAPP_real_bool(v7, zero_zero_real) = v8 & hBOOL(v8) = 0 &
% 266.44/41.42          fun_real_bool(v7) & bool(v8))))
% 266.44/41.42  
% 266.44/41.42    (fact_606_sum__power2__le__zero__iff)
% 266.44/41.42    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.42    [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 266.44/41.42      number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) &  ! [v3: int] :
% 266.44/41.42       ! [v4: int] :  ! [v5: fun_nat_int] :  ! [v6: int] :  ! [v7: fun_int_int] : 
% 266.44/41.42      ! [v8: fun_nat_int] :  ! [v9: int] :  ! [v10: int] : ( ~
% 266.44/41.42        (power_power_int(v4) = v8) |  ~ (power_power_int(v3) = v5) |  ~
% 266.44/41.42        (plus_plus_int(v6) = v7) |  ~ (hAPP_nat_int(v8, v2) = v9) |  ~
% 266.44/41.42        (hAPP_nat_int(v5, v2) = v6) |  ~ (hAPP_int_int(v7, v9) = v10) |  ~ int(v4)
% 266.44/41.42        |  ~ int(v3) |  ? [v11: fun_int_bool] :  ? [v12: bool] :  ? [v13: int] : (
% 266.44/41.42          ~ (v13 = 0) & hAPP_i1948725293t_bool(ord_less_eq_int, v10) = v11 &
% 266.44/41.42          hAPP_int_bool(v11, zero_zero_int) = v12 & hBOOL(v12) = v13 &
% 266.44/41.42          fun_int_bool(v11) & bool(v12)) | (v4 = zero_zero_int & v3 =
% 266.44/41.42          zero_zero_int)) &  ! [v3: fun_nat_int] :  ! [v4: int] :  ! [v5:
% 266.44/41.42        fun_int_int] :  ! [v6: int] : ( ~ (power_power_int(zero_zero_int) = v3) | 
% 266.44/41.42        ~ (plus_plus_int(v4) = v5) |  ~ (hAPP_nat_int(v3, v2) = v4) |  ~
% 266.44/41.42        (hAPP_int_int(v5, v4) = v6) |  ? [v7: fun_int_bool] :  ? [v8: bool] :
% 266.44/41.42        (hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 & hAPP_int_bool(v7,
% 266.44/41.42            zero_zero_int) = v8 & hBOOL(v8) = 0 & fun_int_bool(v7) & bool(v8))))
% 266.44/41.42  
% 266.44/41.42    (fact_607_int__pos__lt__two__imp__zero__or__one)
% 266.44/41.42    fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 266.44/41.42    int(pls) & int(zero_zero_int) & int(one_one_int) &  ? [v0: fun_int_bool] :  ?
% 266.44/41.42    [v1: int] :  ? [v2: int] :  ? [v3: int] : (number_number_of_int(v2) = v3 &
% 266.44/41.42      bit1(pls) = v1 & bit0(v1) = v2 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 266.44/41.42        zero_zero_int) = v0 & fun_int_bool(v0) & int(v3) & int(v2) & int(v1) &  !
% 266.44/41.42      [v4: int] :  ! [v5: bool] : (v4 = zero_zero_int | v4 = one_one_int |  ~
% 266.44/41.42        (hAPP_int_bool(v0, v4) = v5) |  ~ int(v4) |  ? [v6: any] :  ? [v7:
% 266.44/41.42          fun_int_bool] :  ? [v8: bool] :  ? [v9: any] :
% 266.44/41.42        (hAPP_i1948725293t_bool(ord_less_int, v4) = v7 & hAPP_int_bool(v7, v3) =
% 266.44/41.42          v8 & hBOOL(v8) = v9 & hBOOL(v5) = v6 & fun_int_bool(v7) & bool(v8) & ( ~
% 266.44/41.42            (v9 = 0) |  ~ (v6 = 0)))))
% 266.44/41.42  
% 266.44/41.42    (fact_609_number__of2)
% 266.44/41.42    fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) &  ?
% 266.44/41.42    [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: bool] : (number_number_of_int(pls)
% 266.44/41.42      = v1 & hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 266.44/41.42      hAPP_int_bool(v0, v1) = v2 & hBOOL(v2) = 0 & fun_int_bool(v0) & int(v1) &
% 266.44/41.42      bool(v2))
% 266.44/41.42  
% 266.44/41.42    (fact_642_two__realpow__ge__one)
% 266.44/41.42    fun_re413263731l_bool(ord_less_eq_real) & real(one_one_real) & int(pls) &  ?
% 266.44/41.42    [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: real] :  ? [v4:
% 266.44/41.42      fun_nat_real] : (hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = v0
% 266.44/41.42      & number267125858f_real(v2) = v3 & power_power_real(v3) = v4 & bit1(pls) =
% 266.44/41.42      v1 & bit0(v1) = v2 & fun_real_bool(v0) & fun_nat_real(v4) & real(v3) &
% 266.44/41.42      int(v2) & int(v1) &  ! [v5: nat] :  ! [v6: real] : ( ~ (hAPP_nat_real(v4,
% 266.44/41.42            v5) = v6) |  ~ nat(v5) |  ? [v7: bool] : (hAPP_real_bool(v0, v6) = v7
% 266.44/41.42          & hBOOL(v7) = 0 & bool(v7))))
% 266.44/41.42  
% 266.44/41.42    (fact_645_ex__least__nat__less)
% 266.44/41.43    fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_nat_fun_nat_bool(ord_less_nat) &
% 266.44/41.43    nat(zero_zero_nat) & nat(one_one_nat) &  ! [v0: nat] :  ! [v1: fun_nat_bool] :
% 266.44/41.43     ! [v2: bool] : ( ~ (hAPP_nat_bool(v1, v0) = v2) |  ~ fun_nat_bool(v1) |  ~
% 266.44/41.43      nat(v0) |  ? [v3: nat] :  ? [v4: fun_nat_bool] :  ? [v5: bool] :  ? [v6:
% 266.44/41.43        fun_nat_nat] :  ? [v7: nat] :  ? [v8: bool] :
% 266.44/41.43      (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4 & hAPP_nat_bool(v4, v0) = v5
% 266.44/41.43        & hAPP_nat_bool(v1, v7) = v8 & plus_plus_nat(v3) = v6 & hAPP_nat_nat(v6,
% 266.44/41.43          one_one_nat) = v7 & hBOOL(v8) = 0 & hBOOL(v5) = 0 & fun_nat_nat(v6) &
% 266.44/41.43        fun_nat_bool(v4) & nat(v7) & nat(v3) & bool(v8) & bool(v5) &  ! [v9: nat]
% 266.44/41.43        :  ! [v10: fun_nat_bool] :  ! [v11: bool] : ( ~
% 266.44/41.43          (hAPP_n1699378549t_bool(ord_less_eq_nat, v9) = v10) |  ~
% 266.44/41.43          (hAPP_nat_bool(v10, v3) = v11) |  ~ nat(v9) |  ? [v12: any] :  ? [v13:
% 266.44/41.43            bool] :  ? [v14: any] : (hAPP_nat_bool(v1, v9) = v13 & hBOOL(v13) =
% 266.44/41.43            v14 & hBOOL(v11) = v12 & bool(v13) & ( ~ (v14 = 0) |  ~ (v12 = 0)))))
% 266.44/41.43      |  ? [v3: bool] :  ? [v4: any] :  ? [v5: any] : (hAPP_nat_bool(v1,
% 266.44/41.43          zero_zero_nat) = v3 & hBOOL(v3) = v4 & hBOOL(v2) = v5 & bool(v3) & ( ~
% 266.44/41.43          (v5 = 0) | v4 = 0)))
% 266.44/41.43  
% 266.44/41.43    (fact_690_real__sqrt__sum__squares__ge__zero)
% 266.44/41.43    fun_re413263731l_bool(ord_less_eq_real) & real(zero_zero_real) & int(pls) &  ?
% 266.44/41.43    [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 266.44/41.43    (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 & bit1(pls) =
% 266.44/41.43      v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 & fun_real_bool(v0) &
% 266.44/41.43      nat(v3) & int(v2) & int(v1) &  ! [v4: real] :  ! [v5: real] :  ! [v6:
% 266.44/41.43        fun_nat_real] :  ! [v7: real] :  ! [v8: fun_real_real] :  ! [v9:
% 266.44/41.43        fun_nat_real] :  ! [v10: real] :  ! [v11: real] : ( ~ (plus_plus_real(v7)
% 266.44/41.43          = v8) |  ~ (power_power_real(v5) = v9) |  ~ (power_power_real(v4) = v6)
% 266.44/41.43        |  ~ (hAPP_nat_real(v9, v3) = v10) |  ~ (hAPP_nat_real(v6, v3) = v7) |  ~
% 266.44/41.43        (hAPP_real_real(v8, v10) = v11) |  ~ real(v5) |  ~ real(v4) |  ? [v12:
% 266.44/41.43          real] :  ? [v13: bool] : (sqrt(v11) = v12 & hAPP_real_bool(v0, v12) =
% 266.44/41.43          v13 & hBOOL(v13) = 0 & real(v12) & bool(v13))))
% 266.44/41.43  
% 266.44/41.43    (fact_691_zadd__power2)
% 266.44/41.43    int(pls) &  ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: int] :
% 266.44/41.43    (number_number_of_int(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 266.44/41.43      number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) & int(v0) &  !
% 266.44/41.43      [v4: int] :  ! [v5: int] :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8:
% 266.44/41.43        fun_int_int] :  ! [v9: int] :  ! [v10: int] :  ! [v11: int] :  ! [v12:
% 266.44/41.43        fun_int_int] :  ! [v13: fun_nat_int] :  ! [v14: int] :  ! [v15: int] : ( ~
% 266.44/41.43        (times_times_int(v9, v5) = v10) |  ~ (times_times_int(v3, v4) = v9) |  ~
% 266.44/41.43        (power_power_int(v5) = v13) |  ~ (power_power_int(v4) = v6) |  ~
% 266.44/41.43        (plus_plus_int(v11) = v12) |  ~ (plus_plus_int(v7) = v8) |  ~
% 266.44/41.43        (hAPP_nat_int(v13, v2) = v14) |  ~ (hAPP_nat_int(v6, v2) = v7) |  ~
% 266.44/41.43        (hAPP_int_int(v12, v14) = v15) |  ~ (hAPP_int_int(v8, v10) = v11) |  ~
% 266.44/41.43        int(v5) |  ~ int(v4) |  ? [v16: fun_int_int] :  ? [v17: int] :  ? [v18:
% 266.44/41.43          fun_nat_int] : (power_power_int(v17) = v18 & plus_plus_int(v4) = v16 &
% 266.44/41.43          hAPP_nat_int(v18, v2) = v15 & hAPP_int_int(v16, v5) = v17 &
% 266.44/41.43          fun_nat_int(v18) & fun_int_int(v16) & int(v17) & int(v15))))
% 266.44/41.43  
% 266.44/41.43    (fact_6_one__power2)
% 266.44/41.43    real(one_one_real) & int(pls) &  ? [v0: fun_nat_real] :  ? [v1: int] :  ? [v2:
% 266.44/41.43      int] :  ? [v3: nat] : (power_power_real(one_one_real) = v0 &
% 266.44/41.43      hAPP_nat_real(v0, v3) = one_one_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 266.44/41.43      number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2) &
% 266.44/41.43      int(v1))
% 266.44/41.43  
% 266.44/41.43    (fact_71_less__special_I1_J)
% 266.44/41.43    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) &  ? [v0:
% 266.44/41.43      fun_int_bool] :  ? [v1: fun_int_bool] :
% 266.44/41.43    (hAPP_i1948725293t_bool(ord_less_int, pls) = v1 &
% 266.44/41.43      hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 266.44/41.43      & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1,
% 266.44/41.43            v2) = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5: int] :  ? [v6: bool] :
% 266.44/41.43         ? [v7: any] : (number_number_of_int(v2) = v5 & hAPP_int_bool(v0, v5) = v6
% 266.44/41.43          & hBOOL(v6) = v7 & hBOOL(v3) = v4 & int(v5) & bool(v6) & ( ~ (v4 = 0) |
% 266.44/41.43            v7 = 0))) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 266.44/41.43          = v3) |  ~ int(v2) |  ? [v4: int] :  ? [v5: bool] :  ? [v6: any] :  ?
% 266.44/41.43        [v7: any] : (number_number_of_int(v2) = v4 & hAPP_int_bool(v0, v4) = v5 &
% 266.44/41.43          hBOOL(v5) = v6 & hBOOL(v3) = v7 & int(v4) & bool(v5) & ( ~ (v6 = 0) | v7
% 266.44/41.43            = 0))))
% 266.44/41.43  
% 266.44/41.43    (fact_72_less__special_I1_J)
% 266.44/41.43    fun_re413263731l_bool(ord_less_real) & fun_int_fun_int_bool(ord_less_int) &
% 266.44/41.43    real(zero_zero_real) & int(pls) &  ? [v0: fun_real_bool] :  ? [v1:
% 266.44/41.43      fun_int_bool] : (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0
% 266.44/41.43      & hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_real_bool(v0) &
% 266.44/41.43      fun_int_bool(v1) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 266.44/41.43          = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5: real] :  ? [v6: bool] :  ?
% 266.44/41.43        [v7: any] : (hAPP_real_bool(v0, v5) = v6 & number267125858f_real(v2) = v5
% 266.44/41.43          & hBOOL(v6) = v7 & hBOOL(v3) = v4 & real(v5) & bool(v6) & ( ~ (v4 = 0) |
% 266.44/41.43            v7 = 0))) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 266.44/41.43          = v3) |  ~ int(v2) |  ? [v4: real] :  ? [v5: bool] :  ? [v6: any] :  ?
% 266.44/41.43        [v7: any] : (hAPP_real_bool(v0, v4) = v5 & number267125858f_real(v2) = v4
% 266.44/41.43          & hBOOL(v5) = v6 & hBOOL(v3) = v7 & real(v4) & bool(v5) & ( ~ (v6 = 0) |
% 266.44/41.43            v7 = 0))))
% 266.44/41.43  
% 266.44/41.43    (fact_77_rel__simps_I4_J)
% 266.44/41.43    fun_int_fun_int_bool(ord_less_int) & int(pls) &  ? [v0: fun_int_bool] :
% 266.44/41.43    (hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & fun_int_bool(v0) &  ! [v1:
% 266.44/41.43        int] :  ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) |  ~ int(v1) |  ?
% 266.44/41.43        [v3: any] :  ? [v4: int] :  ? [v5: bool] :  ? [v6: any] : (bit0(v1) = v4 &
% 266.44/41.43          hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v2) = v3 & int(v4) &
% 266.44/41.43          bool(v5) & ( ~ (v3 = 0) | v6 = 0))) &  ! [v1: int] :  ! [v2: bool] : ( ~
% 266.44/41.43        (hAPP_int_bool(v0, v1) = v2) |  ~ int(v1) |  ? [v3: int] :  ? [v4: bool] :
% 266.44/41.43         ? [v5: any] :  ? [v6: any] : (bit0(v1) = v3 & hAPP_int_bool(v0, v3) = v4
% 266.44/41.43          & hBOOL(v4) = v5 & hBOOL(v2) = v6 & int(v3) & bool(v4) & ( ~ (v5 = 0) |
% 266.44/41.43            v6 = 0))))
% 266.44/41.43  
% 266.44/41.43    (fact_79_bin__less__0__simps_I1_J)
% 266.44/41.44    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) &  ? [v0:
% 266.44/41.44      fun_int_bool] :  ? [v1: bool] :  ? [v2: int] : ( ~ (v2 = 0) &
% 266.44/41.44      hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & hAPP_int_bool(v0,
% 266.44/41.44        zero_zero_int) = v1 & hBOOL(v1) = v2 & fun_int_bool(v0) & bool(v1))
% 266.44/41.44  
% 266.44/41.44    (fact_7_zero__power2)
% 266.44/41.44    int(pls) & int(zero_zero_int) &  ? [v0: fun_nat_int] :  ? [v1: int] :  ? [v2:
% 266.44/41.44      int] :  ? [v3: nat] : (bit1(pls) = v1 & bit0(v1) = v2 &
% 266.44/41.44      number_number_of_nat(v2) = v3 & power_power_int(zero_zero_int) = v0 &
% 266.44/41.44      hAPP_nat_int(v0, v3) = zero_zero_int & fun_nat_int(v0) & nat(v3) & int(v2) &
% 266.44/41.44      int(v1))
% 266.44/41.44  
% 266.44/41.44    (fact_81_int__0__less__1)
% 266.44/41.44    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) & 
% 266.44/41.44    ? [v0: fun_int_bool] :  ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 266.44/41.44        zero_zero_int) = v0 & hAPP_int_bool(v0, one_one_int) = v1 & hBOOL(v1) = 0
% 266.44/41.44      & fun_int_bool(v0) & bool(v1))
% 266.44/41.44  
% 266.44/41.44    (fact_84_less__special_I4_J)
% 267.13/41.44    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(one_one_int) &  ? [v0:
% 267.13/41.44      int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2: fun_int_bool] : (
% 267.13/41.44        ~ (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) |  ~ int(v1) |  ? [v3:
% 267.13/41.44          bool] :  ? [v4: any] :  ? [v5: int] :  ? [v6: fun_int_bool] :  ? [v7:
% 267.13/41.44          bool] :  ? [v8: any] : (number_number_of_int(v1) = v5 &
% 267.13/41.44          hAPP_i1948725293t_bool(ord_less_int, v5) = v6 & hAPP_int_bool(v6,
% 267.13/41.44            one_one_int) = v7 & hAPP_int_bool(v2, v0) = v3 & hBOOL(v7) = v8 &
% 267.13/41.44          hBOOL(v3) = v4 & fun_int_bool(v6) & int(v5) & bool(v7) & bool(v3) & ( ~
% 267.13/41.44            (v4 = 0) | v8 = 0))) &  ! [v1: int] :  ! [v2: fun_int_bool] : ( ~
% 267.13/41.44        (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) |  ~ int(v1) |  ? [v3:
% 267.13/41.44          int] :  ? [v4: fun_int_bool] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 267.13/41.44          bool] :  ? [v8: any] : (number_number_of_int(v1) = v3 &
% 267.13/41.44          hAPP_i1948725293t_bool(ord_less_int, v3) = v4 & hAPP_int_bool(v4,
% 267.13/41.44            one_one_int) = v5 & hAPP_int_bool(v2, v0) = v7 & hBOOL(v7) = v8 &
% 267.13/41.44          hBOOL(v5) = v6 & fun_int_bool(v4) & int(v3) & bool(v7) & bool(v5) & ( ~
% 267.13/41.44            (v6 = 0) | v8 = 0))))
% 267.13/41.44  
% 267.13/41.44    (fact_85_less__special_I4_J)
% 267.13/41.44    fun_re413263731l_bool(ord_less_real) & fun_int_fun_int_bool(ord_less_int) &
% 267.13/41.44    real(one_one_real) & int(pls) &  ? [v0: int] : (bit1(pls) = v0 & int(v0) &  !
% 267.13/41.44      [v1: int] :  ! [v2: fun_int_bool] : ( ~
% 267.13/41.44        (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) |  ~ int(v1) |  ? [v3:
% 267.13/41.44          bool] :  ? [v4: any] :  ? [v5: real] :  ? [v6: fun_real_bool] :  ? [v7:
% 267.13/41.44          bool] :  ? [v8: any] : (hAPP_r1134773055l_bool(ord_less_real, v5) = v6 &
% 267.13/41.44          hAPP_real_bool(v6, one_one_real) = v7 & number267125858f_real(v1) = v5 &
% 267.13/41.44          hAPP_int_bool(v2, v0) = v3 & hBOOL(v7) = v8 & hBOOL(v3) = v4 &
% 267.13/41.44          fun_real_bool(v6) & real(v5) & bool(v7) & bool(v3) & ( ~ (v4 = 0) | v8 =
% 267.13/41.44            0))) &  ! [v1: int] :  ! [v2: fun_int_bool] : ( ~
% 267.13/41.44        (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) |  ~ int(v1) |  ? [v3:
% 267.13/41.44          real] :  ? [v4: fun_real_bool] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 267.13/41.44          bool] :  ? [v8: any] : (hAPP_r1134773055l_bool(ord_less_real, v3) = v4 &
% 267.13/41.44          hAPP_real_bool(v4, one_one_real) = v5 & number267125858f_real(v1) = v3 &
% 267.13/41.44          hAPP_int_bool(v2, v0) = v7 & hBOOL(v7) = v8 & hBOOL(v5) = v6 &
% 267.13/41.44          fun_real_bool(v4) & real(v3) & bool(v7) & bool(v5) & ( ~ (v6 = 0) | v8 =
% 267.13/41.44            0))))
% 267.13/41.44  
% 267.13/41.44    (fact_86_less__special_I2_J)
% 267.13/41.44    fun_int_fun_int_bool(ord_less_int) & int(pls) & int(one_one_int) &  ? [v0:
% 267.13/41.44      fun_int_bool] :  ? [v1: int] :  ? [v2: fun_int_bool] : (bit1(pls) = v1 &
% 267.13/41.44      hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 267.13/41.44      hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_int_bool(v2) &
% 267.13/41.44      fun_int_bool(v0) & int(v1) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.13/41.44        (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: any] :  ? [v6: int] : 
% 267.13/41.44        ? [v7: bool] :  ? [v8: any] : (number_number_of_int(v3) = v6 &
% 267.13/41.44          hAPP_int_bool(v0, v6) = v7 & hBOOL(v7) = v8 & hBOOL(v4) = v5 & int(v6) &
% 267.13/41.44          bool(v7) & ( ~ (v5 = 0) | v8 = 0))) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.13/41.44        (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: int] :  ? [v6: bool] :
% 267.13/41.44         ? [v7: any] :  ? [v8: any] : (number_number_of_int(v3) = v5 &
% 267.13/41.44          hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v4) = v8 & int(v5) &
% 267.13/41.44          bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 267.13/41.44  
% 267.13/41.44    (fact_87_less__special_I2_J)
% 267.13/41.44    fun_re413263731l_bool(ord_less_real) & fun_int_fun_int_bool(ord_less_int) &
% 267.13/41.44    real(one_one_real) & int(pls) &  ? [v0: fun_real_bool] :  ? [v1: int] :  ?
% 267.13/41.44    [v2: fun_int_bool] : (hAPP_r1134773055l_bool(ord_less_real, one_one_real) = v0
% 267.13/41.44      & bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 267.13/41.44      fun_real_bool(v0) & fun_int_bool(v2) & int(v1) &  ! [v3: int] :  ! [v4:
% 267.13/41.44        bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: any] :  ?
% 267.13/41.44        [v6: real] :  ? [v7: bool] :  ? [v8: any] : (hAPP_real_bool(v0, v6) = v7 &
% 267.13/41.44          number267125858f_real(v3) = v6 & hBOOL(v7) = v8 & hBOOL(v4) = v5 &
% 267.13/41.44          real(v6) & bool(v7) & ( ~ (v5 = 0) | v8 = 0))) &  ! [v3: int] :  ! [v4:
% 267.13/41.44        bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: real] :  ?
% 267.13/41.44        [v6: bool] :  ? [v7: any] :  ? [v8: any] : (hAPP_real_bool(v0, v5) = v6 &
% 267.13/41.44          number267125858f_real(v3) = v5 & hBOOL(v6) = v7 & hBOOL(v4) = v8 &
% 267.13/41.44          real(v5) & bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 267.13/41.44  
% 267.13/41.44    (fact_88_odd__less__0)
% 267.13/41.45    fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) & 
% 267.13/41.45    ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 & fun_int_int(v0) &  !
% 267.13/41.45      [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int] :  ! [v4: int] : ( ~
% 267.13/41.45        (plus_plus_int(v2) = v3) |  ~ (hAPP_int_int(v3, v1) = v4) |  ~
% 267.13/41.45        (hAPP_int_int(v0, v1) = v2) |  ~ int(v1) |  ? [v5: fun_int_bool] :  ? [v6:
% 267.13/41.45          bool] :  ? [v7: any] :  ? [v8: fun_int_bool] :  ? [v9: bool] :  ? [v10:
% 267.13/41.45          any] : (hAPP_i1948725293t_bool(ord_less_int, v4) = v8 &
% 267.13/41.45          hAPP_i1948725293t_bool(ord_less_int, v1) = v5 & hAPP_int_bool(v8,
% 267.13/41.45            zero_zero_int) = v9 & hAPP_int_bool(v5, zero_zero_int) = v6 &
% 267.13/41.45          hBOOL(v9) = v10 & hBOOL(v6) = v7 & fun_int_bool(v8) & fun_int_bool(v5) &
% 267.13/41.45          bool(v9) & bool(v6) & ( ~ (v7 = 0) | v10 = 0))) &  ! [v1: int] :  ! [v2:
% 267.13/41.45        int] :  ! [v3: fun_int_int] :  ! [v4: int] : ( ~ (plus_plus_int(v2) = v3)
% 267.13/41.45        |  ~ (hAPP_int_int(v3, v1) = v4) |  ~ (hAPP_int_int(v0, v1) = v2) |  ~
% 267.13/41.45        int(v1) |  ? [v5: fun_int_bool] :  ? [v6: bool] :  ? [v7: any] :  ? [v8:
% 267.13/41.45          fun_int_bool] :  ? [v9: bool] :  ? [v10: any] :
% 267.13/41.45        (hAPP_i1948725293t_bool(ord_less_int, v4) = v5 &
% 267.13/41.45          hAPP_i1948725293t_bool(ord_less_int, v1) = v8 & hAPP_int_bool(v8,
% 267.13/41.45            zero_zero_int) = v9 & hAPP_int_bool(v5, zero_zero_int) = v6 &
% 267.13/41.45          hBOOL(v9) = v10 & hBOOL(v6) = v7 & fun_int_bool(v8) & fun_int_bool(v5) &
% 267.13/41.45          bool(v9) & bool(v6) & ( ~ (v7 = 0) | v10 = 0))))
% 267.13/41.45  
% 267.13/41.45    (fact_8_zero__power2)
% 267.13/41.45    nat(zero_zero_nat) & int(pls) &  ? [v0: fun_nat_nat] :  ? [v1: int] :  ? [v2:
% 267.13/41.45      int] :  ? [v3: nat] : (power_power_nat(zero_zero_nat) = v0 &
% 267.13/41.45      hAPP_nat_nat(v0, v3) = zero_zero_nat & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.13/41.45      number_number_of_nat(v2) = v3 & fun_nat_nat(v0) & nat(v3) & int(v2) &
% 267.13/41.45      int(v1))
% 267.13/41.45  
% 267.13/41.45    (fact_98_Pls__def)
% 267.13/41.45    pls = zero_zero_int & int(zero_zero_int)
% 267.13/41.45  
% 267.13/41.45    (fact_9_zero__power2)
% 267.13/41.45    real(zero_zero_real) & int(pls) &  ? [v0: fun_nat_real] :  ? [v1: int] :  ?
% 267.13/41.45    [v2: int] :  ? [v3: nat] : (power_power_real(zero_zero_real) = v0 &
% 267.13/41.45      hAPP_nat_real(v0, v3) = zero_zero_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.13/41.45      number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2) &
% 267.13/41.45      int(v1))
% 267.13/41.45  
% 267.13/41.45    (function-axioms)
% 267.13/41.46     ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  ! [v3: int] : (v1 = v0 |  ~
% 267.13/41.46      (times_times_int(v3, v2) = v1) |  ~ (times_times_int(v3, v2) = v0)) &  !
% 267.13/41.46    [v0: fun_nat_nat] :  ! [v1: fun_nat_nat] :  ! [v2: nat] :  ! [v3: bool] : (v1
% 267.13/41.46      = v0 |  ~ (if_nat(v3, v2) = v1) |  ~ (if_nat(v3, v2) = v0)) &  ! [v0:
% 267.13/41.46      fun_real_bool] :  ! [v1: fun_real_bool] :  ! [v2: real] :  ! [v3:
% 267.13/41.46      fun_re413263731l_bool] : (v1 = v0 |  ~ (hAPP_r1134773055l_bool(v3, v2) = v1)
% 267.13/41.46      |  ~ (hAPP_r1134773055l_bool(v3, v2) = v0)) &  ! [v0: bool] :  ! [v1: bool]
% 267.13/41.46    :  ! [v2: real] :  ! [v3: fun_real_bool] : (v1 = v0 |  ~ (hAPP_real_bool(v3,
% 267.13/41.46          v2) = v1) |  ~ (hAPP_real_bool(v3, v2) = v0)) &  ! [v0: fun_nat_bool] : 
% 267.13/41.46    ! [v1: fun_nat_bool] :  ! [v2: nat] :  ! [v3: fun_nat_fun_nat_bool] : (v1 = v0
% 267.13/41.46      |  ~ (hAPP_n1699378549t_bool(v3, v2) = v1) |  ~ (hAPP_n1699378549t_bool(v3,
% 267.13/41.46          v2) = v0)) &  ! [v0: bool] :  ! [v1: bool] :  ! [v2: nat] :  ! [v3:
% 267.13/41.46      fun_nat_bool] : (v1 = v0 |  ~ (hAPP_nat_bool(v3, v2) = v1) |  ~
% 267.13/41.46      (hAPP_nat_bool(v3, v2) = v0)) &  ! [v0: nat] :  ! [v1: nat] :  ! [v2: nat] :
% 267.13/41.46     ! [v3: fun_nat_nat] : (v1 = v0 |  ~ (hAPP_nat_nat(v3, v2) = v1) |  ~
% 267.13/41.46      (hAPP_nat_nat(v3, v2) = v0)) &  ! [v0: real] :  ! [v1: real] :  ! [v2: nat]
% 267.13/41.46    :  ! [v3: fun_nat_real] : (v1 = v0 |  ~ (hAPP_nat_real(v3, v2) = v1) |  ~
% 267.13/41.46      (hAPP_nat_real(v3, v2) = v0)) &  ! [v0: real] :  ! [v1: real] :  ! [v2:
% 267.13/41.46      real] :  ! [v3: fun_real_real] : (v1 = v0 |  ~ (hAPP_real_real(v3, v2) = v1)
% 267.13/41.46      |  ~ (hAPP_real_real(v3, v2) = v0)) &  ! [v0: fun_int_bool] :  ! [v1:
% 267.13/41.46      fun_int_bool] :  ! [v2: int] :  ! [v3: fun_int_fun_int_bool] : (v1 = v0 |  ~
% 267.13/41.46      (hAPP_i1948725293t_bool(v3, v2) = v1) |  ~ (hAPP_i1948725293t_bool(v3, v2) =
% 267.13/41.46        v0)) &  ! [v0: int] :  ! [v1: int] :  ! [v2: nat] :  ! [v3: fun_nat_int] :
% 267.13/41.46    (v1 = v0 |  ~ (hAPP_nat_int(v3, v2) = v1) |  ~ (hAPP_nat_int(v3, v2) = v0)) & 
% 267.13/41.46    ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int] : (v1 = v0 | 
% 267.13/41.46      ~ (hAPP_int_int(v3, v2) = v1) |  ~ (hAPP_int_int(v3, v2) = v0)) &  ! [v0:
% 267.13/41.46      bool] :  ! [v1: bool] :  ! [v2: int] :  ! [v3: fun_int_bool] : (v1 = v0 |  ~
% 267.13/41.46      (hAPP_int_bool(v3, v2) = v1) |  ~ (hAPP_int_bool(v3, v2) = v0)) &  ! [v0:
% 267.13/41.46      real] :  ! [v1: real] :  ! [v2: real] : (v1 = v0 |  ~ (sqrt(v2) = v1) |  ~
% 267.13/41.46      (sqrt(v2) = v0)) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int] : (v1 = v0 | 
% 267.13/41.46      ~ (succ(v2) = v1) |  ~ (succ(v2) = v0)) &  ! [v0: fun_nat_nat] :  ! [v1:
% 267.13/41.46      fun_nat_nat] :  ! [v2: nat] : (v1 = v0 |  ~ (plus_plus_nat(v2) = v1) |  ~
% 267.13/41.46      (plus_plus_nat(v2) = v0)) &  ! [v0: real] :  ! [v1: real] :  ! [v2: int] :
% 267.13/41.46    (v1 = v0 |  ~ (number267125858f_real(v2) = v1) |  ~ (number267125858f_real(v2)
% 267.13/41.46        = v0)) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int] : (v1 = v0 |  ~
% 267.13/41.46      (number_number_of_int(v2) = v1) |  ~ (number_number_of_int(v2) = v0)) &  !
% 267.13/41.46    [v0: fun_nat_nat] :  ! [v1: fun_nat_nat] :  ! [v2: nat] : (v1 = v0 |  ~
% 267.13/41.46      (power_power_nat(v2) = v1) |  ~ (power_power_nat(v2) = v0)) &  ! [v0:
% 267.13/41.46      fun_real_real] :  ! [v1: fun_real_real] :  ! [v2: real] : (v1 = v0 |  ~
% 267.13/41.46      (plus_plus_real(v2) = v1) |  ~ (plus_plus_real(v2) = v0)) &  ! [v0:
% 267.13/41.46      fun_nat_real] :  ! [v1: fun_nat_real] :  ! [v2: real] : (v1 = v0 |  ~
% 267.13/41.46      (power_power_real(v2) = v1) |  ~ (power_power_real(v2) = v0)) &  ! [v0: int]
% 267.13/41.46    :  ! [v1: int] :  ! [v2: int] : (v1 = v0 |  ~ (bit1(v2) = v1) |  ~ (bit1(v2) =
% 267.13/41.46        v0)) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int] : (v1 = v0 |  ~
% 267.13/41.46      (bit0(v2) = v1) |  ~ (bit0(v2) = v0)) &  ! [v0: nat] :  ! [v1: nat] :  !
% 267.13/41.46    [v2: int] : (v1 = v0 |  ~ (number_number_of_nat(v2) = v1) |  ~
% 267.13/41.46      (number_number_of_nat(v2) = v0)) &  ! [v0: fun_nat_int] :  ! [v1:
% 267.13/41.46      fun_nat_int] :  ! [v2: int] : (v1 = v0 |  ~ (power_power_int(v2) = v1) |  ~
% 267.13/41.46      (power_power_int(v2) = v0)) &  ! [v0: fun_int_int] :  ! [v1: fun_int_int] : 
% 267.13/41.46    ! [v2: int] : (v1 = v0 |  ~ (plus_plus_int(v2) = v1) |  ~ (plus_plus_int(v2) =
% 267.13/41.46        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 267.13/41.46      bool] : (v1 = v0 |  ~ (hBOOL(v2) = v1) |  ~ (hBOOL(v2) = v0)) &  ? [v0: int]
% 267.13/41.46    :  ? [v1: int] :  ? [v2: int] : (times_times_int(v1, v0) = v2 & int(v2)) &  ?
% 267.13/41.46    [v0: nat] :  ? [v1: bool] :  ? [v2: fun_nat_nat] : (if_nat(v1, v0) = v2 &
% 267.13/41.46      fun_nat_nat(v2)) &  ? [v0: real] :  ? [v1: fun_re413263731l_bool] :  ? [v2:
% 267.13/41.46      fun_real_bool] : (hAPP_r1134773055l_bool(v1, v0) = v2 & fun_real_bool(v2)) &
% 267.13/41.46     ? [v0: real] :  ? [v1: fun_real_bool] :  ? [v2: bool] : (hAPP_real_bool(v1,
% 267.13/41.46        v0) = v2 & bool(v2)) &  ? [v0: nat] :  ? [v1: fun_nat_fun_nat_bool] :  ?
% 267.13/41.46    [v2: fun_nat_bool] : (hAPP_n1699378549t_bool(v1, v0) = v2 & fun_nat_bool(v2))
% 267.13/41.46    &  ? [v0: nat] :  ? [v1: fun_nat_bool] :  ? [v2: bool] : (hAPP_nat_bool(v1,
% 267.13/41.46        v0) = v2 & bool(v2)) &  ? [v0: nat] :  ? [v1: fun_nat_nat] :  ? [v2: nat]
% 267.13/41.46    : (hAPP_nat_nat(v1, v0) = v2 & nat(v2)) &  ? [v0: nat] :  ? [v1: fun_nat_real]
% 267.13/41.46    :  ? [v2: real] : (hAPP_nat_real(v1, v0) = v2 & real(v2)) &  ? [v0: real] :  ?
% 267.13/41.46    [v1: fun_real_real] :  ? [v2: real] : (hAPP_real_real(v1, v0) = v2 & real(v2))
% 267.13/41.46    &  ? [v0: int] :  ? [v1: fun_int_fun_int_bool] :  ? [v2: fun_int_bool] :
% 267.13/41.46    (hAPP_i1948725293t_bool(v1, v0) = v2 & fun_int_bool(v2)) &  ? [v0: nat] :  ?
% 267.13/41.46    [v1: fun_nat_int] :  ? [v2: int] : (hAPP_nat_int(v1, v0) = v2 & int(v2)) &  ?
% 267.13/41.46    [v0: int] :  ? [v1: fun_int_int] :  ? [v2: int] : (hAPP_int_int(v1, v0) = v2 &
% 267.13/41.46      int(v2)) &  ? [v0: int] :  ? [v1: fun_int_bool] :  ? [v2: bool] :
% 267.13/41.46    (hAPP_int_bool(v1, v0) = v2 & bool(v2)) &  ? [v0: bool] :  ? [v1:
% 267.13/41.46      MultipleValueBool] : (hBOOL(v0) = v1) &  ? [v0: real] :  ? [v1: real] :
% 267.13/41.46    (sqrt(v0) = v1 & real(v1)) &  ? [v0: int] :  ? [v1: int] : (succ(v0) = v1 &
% 267.13/41.46      int(v1)) &  ? [v0: nat] :  ? [v1: fun_nat_nat] : (plus_plus_nat(v0) = v1 &
% 267.13/41.46      fun_nat_nat(v1)) &  ? [v0: int] :  ? [v1: real] : (number267125858f_real(v0)
% 267.13/41.46      = v1 & real(v1)) &  ? [v0: int] :  ? [v1: int] : (number_number_of_int(v0) =
% 267.13/41.46      v1 & int(v1)) &  ? [v0: nat] :  ? [v1: fun_nat_nat] : (power_power_nat(v0) =
% 267.13/41.46      v1 & fun_nat_nat(v1)) &  ? [v0: real] :  ? [v1: fun_real_real] :
% 267.13/41.46    (plus_plus_real(v0) = v1 & fun_real_real(v1)) &  ? [v0: real] :  ? [v1:
% 267.13/41.46      fun_nat_real] : (power_power_real(v0) = v1 & fun_nat_real(v1)) &  ? [v0:
% 267.13/41.46      int] :  ? [v1: int] : (bit1(v0) = v1 & int(v1)) &  ? [v0: int] :  ? [v1:
% 267.13/41.46      int] : (bit0(v0) = v1 & int(v1)) &  ? [v0: int] :  ? [v1: nat] :
% 267.13/41.46    (number_number_of_nat(v0) = v1 & nat(v1)) &  ? [v0: int] :  ? [v1:
% 267.13/41.46      fun_nat_int] : (power_power_int(v0) = v1 & fun_nat_int(v1)) &  ? [v0: int] :
% 267.13/41.46     ? [v1: fun_int_int] : (plus_plus_int(v0) = v1 & fun_int_int(v1))
% 267.13/41.46  
% 267.13/41.46  Further assumptions not needed in the proof:
% 267.13/41.46  --------------------------------------------
% 267.13/41.46  fact_100_add__Pls__right, fact_101_add__Pls, fact_102_add__Bit0__Bit0,
% 267.13/41.46  fact_103_Bit0__def, fact_104_zadd__0__right, fact_105_zadd__0,
% 267.13/41.46  fact_107_semiring__numeral__0__eq__0, fact_108_semiring__numeral__0__eq__0,
% 267.13/41.46  fact_110_number__of__Pls, fact_112_semiring__norm_I112_J,
% 267.13/41.46  fact_114_add__numeral__0, fact_116_add__numeral__0__right,
% 267.13/41.46  fact_118_power__eq__0__iff__number__of, fact_119_power__eq__0__iff__number__of,
% 267.13/41.46  fact_120_add__number__of__left, fact_121_add__number__of__left,
% 267.13/41.46  fact_122_add__number__of__eq, fact_123_add__number__of__eq,
% 267.13/41.46  fact_124_number__of__add, fact_125_number__of__add, fact_126_add__Bit1__Bit0,
% 267.13/41.46  fact_127_add__Bit0__Bit1, fact_130_number__of__int, fact_132_number__of__int,
% 267.13/41.46  fact_141_number__of__Bit0, fact_142_number__of__Bit0, fact_144_number__of__Bit1,
% 267.13/41.46  fact_155_of__nat__0__less__iff, fact_156_of__nat__0__less__iff,
% 267.13/41.46  fact_157_one__less__power, fact_158_one__less__power, fact_159_one__less__power,
% 267.13/41.46  fact_160_power__0__left, fact_161_power__0__left, fact_162_power__0__left,
% 267.13/41.46  fact_164_power__strict__decreasing, fact_165_power__strict__decreasing,
% 267.13/41.46  fact_167_zero__less__two, fact_168_zero__less__two, fact_169_int__gr__induct,
% 267.13/41.46  fact_170_tn0, fact_171_less__zeroE, fact_172_real__zero__not__eq__one,
% 267.13/41.46  fact_173_less__not__refl, fact_174_not__add__less1, fact_175_not__add__less2,
% 267.13/41.46  fact_176_number__of__is__id, fact_177_nat__neq__iff, fact_178_nat__add__commute,
% 267.13/41.46  fact_179_nat__add__left__commute, fact_180_nat__add__assoc,
% 267.13/41.46  fact_181_nat__add__left__cancel, fact_182_nat__add__right__cancel,
% 267.13/41.46  fact_183_nat__add__left__cancel__less, fact_184_linorder__neqE__nat,
% 267.13/41.46  fact_185_less__irrefl__nat, fact_186_less__not__refl2,
% 267.13/41.46  fact_187_less__not__refl3, fact_188_trans__less__add1,
% 267.13/41.46  fact_189_trans__less__add2, fact_190_add__less__mono1, fact_191_add__less__mono,
% 267.13/41.46  fact_192_less__add__eq__less, fact_193_add__lessD1, fact_194_nat__less__cases,
% 267.13/41.46  fact_195_gr0I, fact_196_gr__implies__not0, fact_197_nat__power__less__imp__less,
% 267.13/41.46  fact_198_less__nat__zero__code, fact_199_nat__zero__less__power__iff, fact_1_t1,
% 267.13/41.46  fact_200_add__gr__0, fact_201_neq0__conv, fact_202_not__less0,
% 267.13/41.46  fact_203_zero__less__power__nat__eq,
% 267.13/41.46  fact_204_Nat__Transfer_Otransfer__int__nat__relations_I2_J,
% 267.13/41.46  fact_205_zero__less__power__nat__eq__number__of, fact_206_zless__int,
% 267.13/41.46  fact_208_linorder__neqE__linordered__idom,
% 267.13/41.46  fact_209_linorder__neqE__linordered__idom, fact_210_add__eq__self__zero,
% 267.13/41.46  fact_211_add__is__0, fact_212_Nat_Oadd__0__right, fact_213_plus__nat_Oadd__0,
% 267.13/41.46  fact_214_power__one__right, fact_215_power__one__right,
% 267.13/41.46  fact_216_power__one__right, fact_217_of__nat__eq__iff,
% 267.13/41.46  fact_218_of__nat__eq__iff, fact_219_of__nat__eq__iff,
% 267.13/41.46  fact_220_Nat__Transfer_Otransfer__int__nat__relations_I1_J,
% 267.13/41.46  fact_221_int__if__cong, fact_224_one__neq__zero, fact_225_one__neq__zero,
% 267.13/41.46  fact_226_one__neq__zero, fact_227_zero__neq__one, fact_228_zero__neq__one,
% 267.13/41.46  fact_229_zero__neq__one, fact_22_power__0__left__number__of,
% 267.13/41.46  fact_230_field__power__not__zero, fact_231_field__power__not__zero,
% 267.13/41.46  fact_232_power__one, fact_233_power__one, fact_234_power__one,
% 267.13/41.46  fact_235_of__nat__less__iff, fact_236_of__nat__less__iff,
% 267.13/41.46  fact_237_of__nat__less__iff, fact_238_less__imp__of__nat__less,
% 267.13/41.46  fact_239_less__imp__of__nat__less, fact_23_power__0__left__number__of,
% 267.13/41.46  fact_240_less__imp__of__nat__less, fact_241_of__nat__less__imp__less,
% 267.13/41.46  fact_242_of__nat__less__imp__less, fact_243_of__nat__less__imp__less,
% 267.13/41.46  fact_244_of__nat__add, fact_245_of__nat__add, fact_246_of__nat__add,
% 267.13/41.46  fact_247_of__nat__1, fact_248_of__nat__1, fact_24_power__0__left__number__of,
% 267.13/41.46  fact_250_of__nat__power, fact_251_of__nat__power, fact_252_of__nat__power,
% 267.13/41.46  fact_254_Nat__Transfer_Otransfer__int__nat__functions_I1_J,
% 267.13/41.46  fact_255_Nat__Transfer_Otransfer__int__nat__functions_I4_J,
% 267.13/41.46  fact_256_pos__add__strict, fact_257_pos__add__strict,
% 267.13/41.46  fact_259_not__one__less__zero, fact_260_not__one__less__zero,
% 267.13/41.46  fact_261_not__one__less__zero, fact_262_zero__less__one,
% 267.13/41.46  fact_263_zero__less__one, fact_265_zero__less__power,
% 267.13/41.46  fact_266_zero__less__power, fact_268_less__add__one, fact_269_less__add__one,
% 267.13/41.46  fact_270_less__add__one, fact_271_power__inject__exp,
% 267.13/41.46  fact_272_power__inject__exp, fact_273_power__inject__exp,
% 267.13/41.46  fact_274_power__strict__increasing__iff,
% 267.13/41.46  fact_275_power__strict__increasing__iff,
% 267.13/41.46  fact_276_power__strict__increasing__iff, fact_277_power__less__imp__less__exp,
% 267.13/41.46  fact_278_power__less__imp__less__exp, fact_279_power__less__imp__less__exp,
% 267.13/41.46  fact_280_power__strict__increasing, fact_281_power__strict__increasing,
% 267.13/41.46  fact_282_power__strict__increasing, fact_283_power__eq__0__iff,
% 267.13/41.46  fact_284_power__eq__0__iff, fact_285_power__eq__0__iff,
% 267.13/41.46  fact_286_of__nat__less__0__iff, fact_287_of__nat__less__0__iff,
% 267.13/41.46  fact_288_of__nat__less__0__iff, fact_289_power__0, fact_290_power__0,
% 267.13/41.46  fact_291_power__0, fact_292_of__nat__0, fact_293_of__nat__0,
% 267.13/41.46  fact_294_of__nat__0, fact_295_transfer__int__nat__numerals_I1_J,
% 267.13/41.46  fact_298_less__imp__add__positive, fact_299_exp__eq__1, fact_29_n0,
% 267.13/41.46  fact_300_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 267.13/41.46  fact_301_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 267.13/41.46  fact_302_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 267.13/41.46  fact_303_zero__less__double__add__iff__zero__less__single__add,
% 267.13/41.46  fact_305_double__add__less__zero__iff__single__add__less__zero,
% 267.13/41.46  fact_306_double__add__less__zero__iff__single__add__less__zero,
% 267.13/41.46  fact_307_zero__reorient, fact_308_zero__reorient, fact_309_zero__reorient,
% 267.13/41.46  fact_30_zless__linear, fact_310_add__right__imp__eq,
% 267.13/41.46  fact_311_add__right__imp__eq, fact_312_add__right__imp__eq,
% 267.13/41.46  fact_313_add__imp__eq, fact_314_add__imp__eq, fact_315_add__imp__eq,
% 267.13/41.46  fact_316_add__left__imp__eq, fact_317_add__left__imp__eq,
% 267.13/41.46  fact_318_add__left__imp__eq,
% 267.13/41.46  fact_319_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 267.13/41.46  fact_31_less__number__of__int__code,
% 267.13/41.46  fact_320_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 267.13/41.46  fact_321_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 267.13/41.46  fact_322_add__right__cancel, fact_323_add__right__cancel,
% 267.13/41.46  fact_324_add__right__cancel, fact_325_add__left__cancel,
% 267.13/41.46  fact_326_add__left__cancel, fact_327_add__left__cancel,
% 267.13/41.46  fact_328_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 267.13/41.46  fact_329_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 267.13/41.46  fact_32_plus__numeral__code_I9_J,
% 267.13/41.46  fact_330_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 267.13/41.46  fact_331_ab__semigroup__add__class_Oadd__ac_I1_J,
% 267.13/41.46  fact_332_ab__semigroup__add__class_Oadd__ac_I1_J,
% 267.13/41.46  fact_333_ab__semigroup__add__class_Oadd__ac_I1_J,
% 267.13/41.46  fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 267.13/41.46  fact_335_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 267.13/41.46  fact_336_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 267.13/41.46  fact_337_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 267.13/41.46  fact_338_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 267.13/41.46  fact_339_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 267.13/41.46  fact_33_less__number__of,
% 267.13/41.46  fact_340_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 267.13/41.46  fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 267.13/41.46  fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 267.13/41.46  fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 267.13/41.46  fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 267.13/41.46  fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 267.13/41.46  fact_346_one__reorient, fact_347_one__reorient, fact_348_one__reorient,
% 267.13/41.46  fact_349_add__0__iff, fact_34_less__number__of, fact_350_add__0__iff,
% 267.13/41.46  fact_351_add__0__iff, fact_352_add_Ocomm__neutral, fact_353_add_Ocomm__neutral,
% 267.13/41.46  fact_354_add_Ocomm__neutral,
% 267.13/41.46  fact_355_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 267.13/41.46  fact_356_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 267.13/41.46  fact_357_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 267.13/41.46  fact_358_add__0__right, fact_359_add__0__right, fact_360_add__0__right,
% 267.13/41.46  fact_361_double__zero__sym, fact_362_double__zero__sym, fact_363_add__0,
% 267.13/41.46  fact_364_add__0, fact_365_add__0,
% 267.13/41.46  fact_366_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 267.13/41.46  fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 267.13/41.46  fact_368_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 267.13/41.46  fact_369_add__0__left, fact_36_zpower__int, fact_370_add__0__left,
% 267.13/41.46  fact_371_add__0__left, fact_372_add__less__imp__less__left,
% 267.13/41.46  fact_373_add__less__imp__less__left, fact_374_add__less__imp__less__left,
% 267.13/41.46  fact_375_add__less__imp__less__right, fact_376_add__less__imp__less__right,
% 267.13/41.46  fact_377_add__less__imp__less__right, fact_378_add__strict__mono,
% 267.13/41.46  fact_379_add__strict__mono, fact_37_int__power, fact_380_add__strict__mono,
% 267.13/41.46  fact_381_add__strict__left__mono, fact_382_add__strict__left__mono,
% 267.13/41.46  fact_383_add__strict__left__mono, fact_384_add__strict__right__mono,
% 267.13/41.46  fact_385_add__strict__right__mono, fact_386_add__strict__right__mono,
% 267.13/41.46  fact_387_add__less__cancel__left, fact_388_add__less__cancel__left,
% 267.13/41.46  fact_389_add__less__cancel__left, fact_38_zadd__int__left,
% 267.13/41.46  fact_390_add__less__cancel__right, fact_391_add__less__cancel__right,
% 267.13/41.46  fact_392_add__less__cancel__right,
% 267.13/41.46  fact_393_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,
% 267.13/41.46  fact_394_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,
% 267.13/41.46  fact_395_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,
% 267.13/41.46  fact_396_nat__power__eq__0__iff, fact_397_add__neg__neg, fact_398_add__neg__neg,
% 267.13/41.46  fact_399_add__neg__neg, fact_39_zadd__int, fact_400_add__pos__pos,
% 267.13/41.46  fact_401_add__pos__pos, fact_403_realpow__pos__nth__unique,
% 267.13/41.46  fact_404_realpow__pos__nth, fact_405_tpos, fact_406_nat__number__of__add__1,
% 267.13/41.46  fact_407_nat__1__add__number__of, fact_408_add__le__cancel__right,
% 267.13/41.46  fact_409_add__le__cancel__right, fact_410_add__le__cancel__right,
% 267.13/41.46  fact_411_add__le__cancel__left, fact_412_add__le__cancel__left,
% 267.13/41.46  fact_413_add__le__cancel__left, fact_414_add__right__mono,
% 267.13/41.46  fact_415_add__right__mono, fact_416_add__right__mono, fact_417_add__left__mono,
% 267.13/41.46  fact_418_add__left__mono, fact_419_add__left__mono,
% 267.13/41.46  fact_41_nat__number__of__Pls, fact_420_add__mono, fact_421_add__mono,
% 267.13/41.46  fact_422_add__mono, fact_423_add__le__imp__le__right,
% 267.13/41.46  fact_424_add__le__imp__le__right, fact_425_add__le__imp__le__right,
% 267.13/41.46  fact_426_add__le__imp__le__left, fact_427_add__le__imp__le__left,
% 267.13/41.46  fact_428_add__le__imp__le__left, fact_429_power__increasing,
% 267.13/41.46  fact_42_semiring__norm_I113_J, fact_430_power__increasing,
% 267.13/41.46  fact_431_power__increasing, fact_432_less__eq__int__code_I16_J,
% 267.13/41.46  fact_433_rel__simps_I34_J, fact_434_rel__simps_I19_J,
% 267.13/41.46  fact_435_less__eq__int__code_I13_J, fact_436_rel__simps_I31_J,
% 267.13/41.46  fact_437_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,
% 267.13/41.46  fact_438_zle__refl, fact_439_zle__linear, fact_43_int__eq__0__conv,
% 267.13/41.46  fact_440_zle__trans, fact_441_zle__antisym, fact_442_le__number__of,
% 267.13/41.46  fact_443_le__number__of, fact_444_of__nat__le__iff, fact_445_of__nat__le__iff,
% 267.13/41.46  fact_446_of__nat__le__iff, fact_448_zadd__left__mono,
% 267.13/41.46  fact_449_less__eq__number__of__int__code, fact_44_int__0,
% 267.13/41.46  fact_450_le__special_I1_J, fact_451_le__special_I1_J, fact_452_le__special_I3_J,
% 267.13/41.46  fact_453_le__special_I3_J, fact_454_power__decreasing,
% 267.13/41.46  fact_455_power__decreasing, fact_456_power__decreasing,
% 267.13/41.46  fact_457_power__increasing__iff, fact_458_power__increasing__iff,
% 267.13/41.46  fact_459_power__increasing__iff, fact_460_power__le__imp__le__exp,
% 267.13/41.46  fact_461_power__le__imp__le__exp, fact_462_power__le__imp__le__exp,
% 267.13/41.46  fact_467_zero__le__double__add__iff__zero__le__single__add,
% 267.13/41.46  fact_468_zero__le__double__add__iff__zero__le__single__add,
% 267.13/41.46  fact_469_double__add__le__zero__iff__single__add__le__zero,
% 267.13/41.46  fact_46_less__int__code_I16_J,
% 267.13/41.46  fact_470_double__add__le__zero__iff__single__add__le__zero,
% 267.13/41.46  fact_471_add__nonneg__nonneg, fact_472_add__nonneg__nonneg,
% 267.13/41.46  fact_473_add__nonneg__nonneg, fact_474_add__nonneg__eq__0__iff,
% 267.13/41.46  fact_475_add__nonneg__eq__0__iff, fact_476_add__nonneg__eq__0__iff,
% 267.13/41.46  fact_477_add__increasing, fact_478_add__increasing, fact_479_add__increasing,
% 267.13/41.46  fact_47_rel__simps_I17_J, fact_480_add__increasing2, fact_481_add__increasing2,
% 267.13/41.46  fact_482_add__increasing2, fact_483_add__nonpos__nonpos,
% 267.13/41.46  fact_484_add__nonpos__nonpos, fact_485_add__nonpos__nonpos,
% 267.13/41.46  fact_486_add__less__le__mono, fact_487_add__less__le__mono,
% 267.13/41.46  fact_488_add__less__le__mono, fact_489_add__le__less__mono,
% 267.13/41.46  fact_490_add__le__less__mono, fact_491_add__le__less__mono,
% 267.13/41.46  fact_492_not__one__le__zero, fact_493_not__one__le__zero,
% 267.13/41.46  fact_494_not__one__le__zero, fact_495_zero__le__one, fact_496_zero__le__one,
% 267.13/41.46  fact_497_zero__le__one, fact_498_le__number__of__eq__not__less,
% 267.13/41.46  fact_499_le__number__of__eq__not__less, fact_49_less__int__code_I13_J,
% 267.13/41.46  fact_500_le__number__of__eq__not__less, fact_501_zero__le__power,
% 267.13/41.46  fact_502_zero__le__power, fact_503_zero__le__power, fact_504_power__mono,
% 267.13/41.46  fact_505_power__mono, fact_506_power__mono, fact_507_one__le__power,
% 267.13/41.46  fact_508_one__le__power, fact_509_one__le__power, fact_50_rel__simps_I14_J,
% 267.13/41.46  fact_510_zero__le__imp__of__nat, fact_511_zero__le__imp__of__nat,
% 267.13/41.46  fact_512_zero__le__imp__of__nat, fact_513_of__nat__0__le__iff,
% 267.13/41.46  fact_514_of__nat__0__le__iff, fact_515_of__nat__0__le__iff,
% 267.13/41.46  fact_516_rel__simps_I22_J, fact_517_rel__simps_I32_J,
% 267.13/41.46  fact_518_less__eq__int__code_I14_J, fact_519_rel__simps_I21_J,
% 267.13/41.46  fact_51_zadd__strict__right__mono, fact_520_rel__simps_I27_J,
% 267.13/41.46  fact_521_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,
% 267.13/41.46  fact_522_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,
% 267.13/41.46  fact_523_zadd__zless__mono,
% 267.13/41.46  fact_524_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,
% 267.13/41.46  fact_525_transfer__int__nat__quantifiers_I2_J,
% 267.13/41.46  fact_526_transfer__int__nat__quantifiers_I1_J, fact_527_zero__zle__int,
% 267.13/41.46  fact_528_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,
% 267.13/41.46  fact_529_zle__iff__zadd, fact_52_add__nat__number__of,
% 267.13/41.46  fact_530_semiring__1__add__number__of, fact_531_semiring__1__add__number__of,
% 267.13/41.46  fact_533_semiring__number__of__add__1, fact_534_semiring__number__of__add__1,
% 267.13/41.46  fact_535_semiring__number__of__add__1, fact_536_add__pos__nonneg,
% 267.13/41.46  fact_537_add__pos__nonneg, fact_539_add__nonneg__pos, fact_540_add__nonneg__pos,
% 267.13/41.46  fact_542_add__strict__increasing, fact_543_add__strict__increasing,
% 267.13/41.46  fact_545_add__strict__increasing2, fact_546_add__strict__increasing2,
% 267.13/41.46  fact_548_add__neg__nonpos, fact_549_add__neg__nonpos, fact_550_add__neg__nonpos,
% 267.13/41.46  fact_551_add__nonpos__neg, fact_552_add__nonpos__neg, fact_553_add__nonpos__neg,
% 267.13/41.46  fact_554_power__less__imp__less__base, fact_555_power__less__imp__less__base,
% 267.13/41.46  fact_556_power__less__imp__less__base, fact_557_eq__0__number__of,
% 267.13/41.46  fact_558_eq__number__of__0, fact_560_rel__simps_I29_J,
% 267.13/41.46  fact_561_rel__simps_I15_J, fact_562_less__int__code_I14_J,
% 267.13/41.46  fact_563_rel__simps_I33_J, fact_564_less__eq__int__code_I15_J,
% 267.13/41.46  fact_566_int__le__0__conv, fact_568_succ__Bit0, fact_569_succ__Bit1,
% 267.13/41.46  fact_56_eq__number__of, fact_570_zle__add1__eq__le, fact_571_add1__zle__eq,
% 267.13/41.46  fact_572_zless__imp__add1__zle, fact_573_succ__def,
% 267.13/41.46  fact_574_power__eq__imp__eq__base, fact_575_power__eq__imp__eq__base,
% 267.13/41.46  fact_576_power__eq__imp__eq__base, fact_577_semiring__add__number__of,
% 267.13/41.46  fact_578_semiring__add__number__of, fact_579_semiring__add__number__of,
% 267.13/41.46  fact_57_eq__number__of, fact_582_number__of__succ, fact_584_add__Bit1__Bit1,
% 267.13/41.46  fact_585_power__strict__mono, fact_586_power__strict__mono,
% 267.13/41.46  fact_587_power__strict__mono, fact_58_number__of__reorient,
% 267.13/41.46  fact_598_of__nat__number__of__lemma, fact_599_of__nat__number__of__lemma,
% 267.13/41.46  fact_59_number__of__reorient, fact_608_number__of1,
% 267.13/41.46  fact_60_number__of__reorient, fact_610_zero__le__imp__eq__int,
% 267.13/41.46  fact_611_nonneg__int__cases, fact_612_le0, fact_613_less__eq__nat_Osimps_I1_J,
% 267.13/41.46  fact_614_le__0__eq, fact_615_less__or__eq__imp__le,
% 267.13/41.46  fact_616_le__neq__implies__less, fact_617_less__imp__le__nat,
% 267.13/41.46  fact_618_le__eq__less__or__eq, fact_619_nat__less__le, fact_61_rel__simps_I51_J,
% 267.13/41.46  fact_620_le__refl, fact_621_nat__le__linear, fact_622_eq__imp__le,
% 267.13/41.46  fact_623_le__trans, fact_624_le__antisym, fact_625_less__eq__real__def,
% 267.13/41.46  fact_626_real__less__def, fact_627_le__add2, fact_628_le__add1,
% 267.13/41.46  fact_629_le__iff__add, fact_62_rel__simps_I48_J,
% 267.13/41.46  fact_630_nat__add__left__cancel__le, fact_631_trans__le__add1,
% 267.13/41.46  fact_632_trans__le__add2, fact_633_add__le__mono1, fact_634_add__le__mono,
% 267.13/41.46  fact_635_add__leD2, fact_636_add__leD1, fact_637_add__leE,
% 267.13/41.46  fact_638_real__add__left__mono,
% 267.13/41.46  fact_639_Nat__Transfer_Otransfer__int__nat__relations_I3_J,
% 267.13/41.46  fact_63_even__less__0__iff, fact_640_zle__int, fact_641_le__nat__number__of,
% 267.13/41.46  fact_643_conj__le__cong, fact_644_imp__le__cong, fact_646_nonneg__eq__int,
% 267.13/41.46  fact_647_mono__nat__linear__lb, fact_648_real__le__refl,
% 267.13/41.46  fact_649_real__le__linear, fact_64_even__less__0__iff, fact_650_real__le__trans,
% 267.13/41.46  fact_651_real__le__antisym, fact_652_int__ge__induct,
% 267.13/41.46  fact_653_ex__least__nat__le, fact_654_less__mono__imp__le__mono,
% 267.13/41.46  fact_655_order__refl, fact_656_order__refl, fact_657_order__refl,
% 267.13/41.46  fact_658_linorder__le__cases, fact_659_linorder__le__cases, fact_65_zadd__assoc,
% 267.13/41.46  fact_660_linorder__le__cases, fact_661_xt1_I6_J, fact_662_xt1_I6_J,
% 267.13/41.46  fact_663_xt1_I6_J, fact_664_xt1_I5_J, fact_665_xt1_I5_J, fact_666_xt1_I5_J,
% 267.13/41.46  fact_667_order__trans, fact_668_order__trans, fact_669_order__trans,
% 267.13/41.46  fact_66_zadd__left__commute, fact_670_order__antisym, fact_671_order__antisym,
% 267.13/41.46  fact_672_order__antisym, fact_673_xt1_I4_J, fact_674_xt1_I4_J,
% 267.13/41.46  fact_675_xt1_I4_J, fact_676_ord__le__eq__trans, fact_677_ord__le__eq__trans,
% 267.13/41.46  fact_678_ord__le__eq__trans, fact_679_xt1_I3_J, fact_67_zadd__commute,
% 267.13/41.46  fact_680_xt1_I3_J, fact_681_xt1_I3_J, fact_682_ord__eq__le__trans,
% 267.13/41.46  fact_683_ord__eq__le__trans, fact_684_ord__eq__le__trans,
% 267.13/41.46  fact_685_order__antisym__conv, fact_686_order__antisym__conv,
% 267.13/41.46  fact_687_order__antisym__conv, fact_688_order__eq__refl,
% 267.13/41.46  fact_689_real__lbound__gt__zero, fact_68_int__int__eq, fact_692_mult__Bit1,
% 267.13/41.46  fact_693_real__sqrt__gt__zero, fact_694_real__sqrt__not__eq__zero,
% 267.13/41.46  fact_695_real__sqrt__lt__0__iff, fact_696_real__sqrt__gt__0__iff,
% 267.13/41.46  fact_697_real__sqrt__lt__1__iff, fact_698_real__sqrt__gt__1__iff,
% 267.13/41.46  fact_69_less__special_I3_J, fact_70_less__special_I3_J,
% 267.13/41.46  fact_73_rel__simps_I12_J, fact_74_less__int__code_I15_J,
% 267.13/41.46  fact_75_rel__simps_I16_J, fact_76_rel__simps_I10_J,
% 267.13/41.46  fact_78_bin__less__0__simps_I4_J, fact_80_bin__less__0__simps_I3_J,
% 267.13/41.46  fact_82_zless__add1__eq, fact_83_int__less__0__conv, fact_89_double__eq__0__iff,
% 267.13/41.46  fact_90_double__eq__0__iff, fact_91_rel__simps_I46_J, fact_92_rel__simps_I39_J,
% 267.13/41.46  fact_93_rel__simps_I50_J, fact_94_rel__simps_I49_J, fact_95_rel__simps_I44_J,
% 267.13/41.46  fact_96_rel__simps_I38_J, fact_97_Bit0__Pls, fact_99_int__0__neq__1,
% 267.13/41.46  help_If_1_1_If_000tc__Nat__Onat_T, help_If_2_1_If_000tc__Nat__Onat_T,
% 267.13/41.46  help_If_3_1_If_000tc__Nat__Onat_T
% 267.13/41.46  
% 267.13/41.46  Those formulas are unsatisfiable:
% 267.13/41.46  ---------------------------------
% 267.13/41.46  
% 267.13/41.46  Begin of proof
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_0_n1pos) implies:
% 267.13/41.47  |   (1)   ? [v0: fun_int_bool] :  ? [v1: fun_int_int] :  ? [v2: int] :  ? [v3:
% 267.13/41.47  |          int] :  ? [v4: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 267.13/41.47  |            zero_zero_int) = v0 & plus_plus_int(one_one_int) = v1 &
% 267.13/41.47  |          hAPP_nat_int(semiri1621563631at_int, n) = v2 & hAPP_int_int(v1, v2) =
% 267.13/41.47  |          v3 & hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0 & fun_int_int(v1) &
% 267.13/41.47  |          fun_int_bool(v0) & int(v3) & int(v2) & bool(v4))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_2_sum__power2__eq__zero__iff) implies:
% 267.13/41.47  |   (2)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0)
% 267.13/41.47  |          = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & 
% 267.13/41.47  |          ! [v3: int] :  ! [v4: int] :  ! [v5: fun_nat_int] :  ! [v6: int] :  !
% 267.13/41.47  |          [v7: fun_int_int] :  ! [v8: fun_nat_int] :  ! [v9: int] : ( ~
% 267.13/41.47  |            (power_power_int(v4) = v8) |  ~ (power_power_int(v3) = v5) |  ~
% 267.13/41.47  |            (plus_plus_int(v6) = v7) |  ~ (hAPP_nat_int(v8, v2) = v9) |  ~
% 267.13/41.47  |            (hAPP_nat_int(v5, v2) = v6) |  ~ (hAPP_int_int(v7, v9) =
% 267.13/41.47  |              zero_zero_int) |  ~ int(v4) |  ~ int(v3) | (v4 = zero_zero_int &
% 267.13/41.47  |              v3 = zero_zero_int)) &  ! [v3: fun_nat_int] :  ! [v4: int] :  !
% 267.13/41.47  |          [v5: fun_int_int] :  ! [v6: int] : (v6 = zero_zero_int |  ~
% 267.13/41.47  |            (power_power_int(zero_zero_int) = v3) |  ~ (plus_plus_int(v4) = v5)
% 267.13/41.47  |            |  ~ (hAPP_nat_int(v3, v2) = v4) |  ~ (hAPP_int_int(v5, v4) = v6)))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_4_one__power2) implies:
% 267.13/41.47  |   (3)   ? [v0: fun_nat_int] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.13/41.47  |        (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.13/41.47  |          power_power_int(one_one_int) = v0 & hAPP_nat_int(v0, v3) =
% 267.13/41.47  |          one_one_int & fun_nat_int(v0) & nat(v3) & int(v2) & int(v1))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_5_one__power2) implies:
% 267.13/41.47  |   (4)   ? [v0: fun_nat_nat] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.13/41.47  |        (power_power_nat(one_one_nat) = v0 & hAPP_nat_nat(v0, v3) = one_one_nat
% 267.13/41.47  |          & bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.13/41.47  |          fun_nat_nat(v0) & nat(v3) & int(v2) & int(v1))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_6_one__power2) implies:
% 267.13/41.47  |   (5)   ? [v0: fun_nat_real] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.13/41.47  |        (power_power_real(one_one_real) = v0 & hAPP_nat_real(v0, v3) =
% 267.13/41.47  |          one_one_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.13/41.47  |          number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2)
% 267.13/41.47  |          & int(v1))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_7_zero__power2) implies:
% 267.13/41.47  |   (6)   ? [v0: fun_nat_int] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.13/41.47  |        (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.13/41.47  |          power_power_int(zero_zero_int) = v0 & hAPP_nat_int(v0, v3) =
% 267.13/41.47  |          zero_zero_int & fun_nat_int(v0) & nat(v3) & int(v2) & int(v1))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_8_zero__power2) implies:
% 267.13/41.47  |   (7)   ? [v0: fun_nat_nat] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.13/41.47  |        (power_power_nat(zero_zero_nat) = v0 & hAPP_nat_nat(v0, v3) =
% 267.13/41.47  |          zero_zero_nat & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.13/41.47  |          number_number_of_nat(v2) = v3 & fun_nat_nat(v0) & nat(v3) & int(v2) &
% 267.13/41.47  |          int(v1))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_9_zero__power2) implies:
% 267.13/41.47  |   (8)   ? [v0: fun_nat_real] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.13/41.47  |        (power_power_real(zero_zero_real) = v0 & hAPP_nat_real(v0, v3) =
% 267.13/41.47  |          zero_zero_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.13/41.47  |          number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2)
% 267.13/41.47  |          & int(v1))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_10_zero__eq__power2) implies:
% 267.13/41.47  |   (9)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 & bit0(v0)
% 267.13/41.47  |          = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & 
% 267.13/41.47  |          ! [v3: int] :  ! [v4: fun_nat_int] : (v3 = zero_zero_int |  ~
% 267.13/41.47  |            (power_power_int(v3) = v4) |  ~ int(v3) |  ? [v5: int] : ( ~ (v5 =
% 267.13/41.47  |                zero_zero_int) & hAPP_nat_int(v4, v2) = v5 & int(v5))) &  !
% 267.13/41.47  |          [v3: fun_nat_int] : ( ~ (power_power_int(zero_zero_int) = v3) |
% 267.13/41.47  |            hAPP_nat_int(v3, v2) = zero_zero_int))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_11_zero__eq__power2) implies:
% 267.13/41.47  |   (10)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.13/41.47  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.13/41.47  |           int(v0) &  ! [v3: real] :  ! [v4: fun_nat_real] : (v3 =
% 267.13/41.47  |             zero_zero_real |  ~ (power_power_real(v3) = v4) |  ~ real(v3) |  ?
% 267.13/41.47  |             [v5: real] : ( ~ (v5 = zero_zero_real) & hAPP_nat_real(v4, v2) =
% 267.13/41.47  |               v5 & real(v5))) &  ! [v3: fun_nat_real] : ( ~
% 267.13/41.47  |             (power_power_real(zero_zero_real) = v3) | hAPP_nat_real(v3, v2) =
% 267.13/41.47  |             zero_zero_real))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_12_add__special_I2_J) implies:
% 267.13/41.47  |   (11)   ? [v0: fun_int_int] :  ? [v1: int] :  ? [v2: fun_int_int] :
% 267.13/41.47  |         (bit1(pls) = v1 & plus_plus_int(v1) = v2 & plus_plus_int(one_one_int)
% 267.13/41.47  |           = v0 & fun_int_int(v2) & fun_int_int(v0) & int(v1) &  ! [v3: int] : 
% 267.13/41.47  |           ! [v4: int] : ( ~ (hAPP_int_int(v2, v3) = v4) |  ~ int(v3) |  ? [v5:
% 267.13/41.47  |               int] :  ? [v6: int] : (number_number_of_int(v4) = v6 &
% 267.13/41.47  |               number_number_of_int(v3) = v5 & hAPP_int_int(v0, v5) = v6 &
% 267.13/41.47  |               int(v6) & int(v5))))
% 267.13/41.47  | 
% 267.13/41.47  | ALPHA: (fact_13_add__special_I2_J) implies:
% 267.13/41.48  |   (12)   ? [v0: fun_real_real] :  ? [v1: int] :  ? [v2: fun_int_int] :
% 267.13/41.48  |         (plus_plus_real(one_one_real) = v0 & bit1(pls) = v1 &
% 267.13/41.48  |           plus_plus_int(v1) = v2 & fun_real_real(v0) & fun_int_int(v2) &
% 267.13/41.48  |           int(v1) &  ! [v3: int] :  ! [v4: int] : ( ~ (hAPP_int_int(v2, v3) =
% 267.13/41.48  |               v4) |  ~ int(v3) |  ? [v5: real] :  ? [v6: real] :
% 267.13/41.48  |             (number267125858f_real(v4) = v6 & number267125858f_real(v3) = v5 &
% 267.13/41.48  |               hAPP_real_real(v0, v5) = v6 & real(v6) & real(v5))))
% 267.13/41.48  | 
% 267.13/41.48  | ALPHA: (fact_14_add__special_I3_J) implies:
% 267.13/41.48  |   (13)   ? [v0: int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2: int]
% 267.13/41.48  |           : ( ~ (number_number_of_int(v1) = v2) |  ~ int(v1) |  ? [v3:
% 267.13/41.48  |               fun_int_int] :  ? [v4: int] :  ? [v5: fun_int_int] :  ? [v6:
% 267.13/41.48  |               int] : (number_number_of_int(v6) = v4 & plus_plus_int(v2) = v3 &
% 267.13/41.48  |               plus_plus_int(v1) = v5 & hAPP_int_int(v5, v0) = v6 &
% 267.13/41.48  |               hAPP_int_int(v3, one_one_int) = v4 & fun_int_int(v5) &
% 267.13/41.48  |               fun_int_int(v3) & int(v6) & int(v4))))
% 267.13/41.48  | 
% 267.13/41.48  | ALPHA: (fact_15_add__special_I3_J) implies:
% 267.13/41.48  |   (14)   ? [v0: int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2:
% 267.13/41.48  |             real] : ( ~ (number267125858f_real(v1) = v2) |  ~ int(v1) |  ?
% 267.13/41.48  |             [v3: fun_real_real] :  ? [v4: real] :  ? [v5: fun_int_int] :  ?
% 267.13/41.48  |             [v6: int] : (number267125858f_real(v6) = v4 & plus_plus_real(v2) =
% 267.13/41.48  |               v3 & hAPP_real_real(v3, one_one_real) = v4 & plus_plus_int(v1) =
% 267.13/41.48  |               v5 & hAPP_int_int(v5, v0) = v6 & fun_real_real(v3) &
% 267.13/41.48  |               fun_int_int(v5) & real(v4) & int(v6))))
% 267.13/41.48  | 
% 267.13/41.48  | ALPHA: (fact_18_semiring__one__add__one__is__two) implies:
% 267.13/41.48  |   (15)   ? [v0: fun_int_int] :  ? [v1: int] :  ? [v2: int] :  ? [v3: int] :
% 267.13/41.48  |         (number_number_of_int(v3) = v1 & bit1(pls) = v2 & bit0(v2) = v3 &
% 267.13/41.48  |           plus_plus_int(one_one_int) = v0 & hAPP_int_int(v0, one_one_int) = v1
% 267.13/41.48  |           & fun_int_int(v0) & int(v3) & int(v2) & int(v1))
% 267.13/41.48  | 
% 267.13/41.48  | ALPHA: (fact_20_semiring__one__add__one__is__two) implies:
% 267.13/41.48  |   (16)   ? [v0: fun_real_real] :  ? [v1: real] :  ? [v2: int] :  ? [v3: int] :
% 267.13/41.48  |         (number267125858f_real(v3) = v1 & plus_plus_real(one_one_real) = v0 &
% 267.13/41.48  |           hAPP_real_real(v0, one_one_real) = v1 & bit1(pls) = v2 & bit0(v2) =
% 267.13/41.48  |           v3 & fun_real_real(v0) & real(v1) & int(v3) & int(v2))
% 267.13/41.48  | 
% 267.13/41.48  | ALPHA: (fact_21_quartic__square__square) implies:
% 267.31/41.48  |   (17)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: int] :  ? [v4:
% 267.31/41.48  |           nat] : (bit1(pls) = v0 & bit0(v1) = v3 & bit0(v0) = v1 &
% 267.31/41.48  |           number_number_of_nat(v3) = v4 & number_number_of_nat(v1) = v2 &
% 267.31/41.48  |           nat(v4) & nat(v2) & int(v3) & int(v1) & int(v0) &  ! [v5: int] :  !
% 267.31/41.48  |           [v6: fun_nat_int] : ( ~ (power_power_int(v5) = v6) |  ~ int(v5) |  ?
% 267.31/41.48  |             [v7: int] :  ? [v8: fun_nat_int] :  ? [v9: int] :
% 267.31/41.48  |             (power_power_int(v7) = v8 & hAPP_nat_int(v8, v2) = v9 &
% 267.31/41.48  |               hAPP_nat_int(v6, v4) = v9 & hAPP_nat_int(v6, v2) = v7 &
% 267.31/41.48  |               fun_nat_int(v8) & int(v9) & int(v7))))
% 267.31/41.48  | 
% 267.31/41.48  | ALPHA: (fact_45_nat__1__add__1) implies:
% 267.31/41.48  |   (18)   ? [v0: fun_nat_nat] :  ? [v1: nat] :  ? [v2: int] :  ? [v3: int] :
% 267.31/41.48  |         (plus_plus_nat(one_one_nat) = v0 & hAPP_nat_nat(v0, one_one_nat) = v1
% 267.31/41.48  |           & bit1(pls) = v2 & bit0(v2) = v3 & number_number_of_nat(v3) = v1 &
% 267.31/41.48  |           fun_nat_nat(v0) & nat(v1) & int(v3) & int(v2))
% 267.31/41.48  | 
% 267.31/41.48  | ALPHA: (fact_48_rel__simps_I2_J) implies:
% 267.31/41.48  |   (19)   ? [v0: fun_int_bool] :  ? [v1: bool] :  ? [v2: int] : ( ~ (v2 = 0) &
% 267.31/41.48  |           hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & hAPP_int_bool(v0,
% 267.31/41.48  |             pls) = v1 & hBOOL(v1) = v2 & fun_int_bool(v0) & bool(v1))
% 267.31/41.48  | 
% 267.31/41.48  | ALPHA: (fact_71_less__special_I1_J) implies:
% 267.31/41.48  |   (20)   ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 267.31/41.48  |         (hAPP_i1948725293t_bool(ord_less_int, pls) = v1 &
% 267.31/41.48  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.48  |           fun_int_bool(v1) & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] :
% 267.31/41.48  |           ( ~ (hAPP_int_bool(v1, v2) = v3) |  ~ int(v2) |  ? [v4: any] :  ?
% 267.31/41.48  |             [v5: int] :  ? [v6: bool] :  ? [v7: any] :
% 267.31/41.48  |             (number_number_of_int(v2) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 267.31/41.48  |               hBOOL(v6) = v7 & hBOOL(v3) = v4 & int(v5) & bool(v6) & ( ~ (v4 =
% 267.31/41.48  |                   0) | v7 = 0))) &  ! [v2: int] :  ! [v3: bool] : ( ~
% 267.31/41.48  |             (hAPP_int_bool(v1, v2) = v3) |  ~ int(v2) |  ? [v4: int] :  ? [v5:
% 267.31/41.48  |               bool] :  ? [v6: any] :  ? [v7: any] : (number_number_of_int(v2)
% 267.31/41.48  |               = v4 & hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v3) =
% 267.31/41.48  |               v7 & int(v4) & bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 267.31/41.48  | 
% 267.31/41.48  | ALPHA: (fact_72_less__special_I1_J) implies:
% 267.31/41.48  |   (21)   ? [v0: fun_real_bool] :  ? [v1: fun_int_bool] :
% 267.31/41.48  |         (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 &
% 267.31/41.48  |           hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_real_bool(v0) &
% 267.31/41.48  |           fun_int_bool(v1) &  ! [v2: int] :  ! [v3: bool] : ( ~
% 267.31/41.48  |             (hAPP_int_bool(v1, v2) = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5:
% 267.31/41.48  |               real] :  ? [v6: bool] :  ? [v7: any] : (hAPP_real_bool(v0, v5) =
% 267.31/41.48  |               v6 & number267125858f_real(v2) = v5 & hBOOL(v6) = v7 & hBOOL(v3)
% 267.31/41.48  |               = v4 & real(v5) & bool(v6) & ( ~ (v4 = 0) | v7 = 0))) &  ! [v2:
% 267.31/41.48  |             int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) |  ~
% 267.31/41.48  |             int(v2) |  ? [v4: real] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 267.31/41.48  |               any] : (hAPP_real_bool(v0, v4) = v5 & number267125858f_real(v2)
% 267.31/41.48  |               = v4 & hBOOL(v5) = v6 & hBOOL(v3) = v7 & real(v4) & bool(v5) & (
% 267.31/41.48  |                 ~ (v6 = 0) | v7 = 0))))
% 267.31/41.48  | 
% 267.31/41.48  | ALPHA: (fact_77_rel__simps_I4_J) implies:
% 267.31/41.48  |   (22)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, pls) =
% 267.31/41.48  |           v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2: bool] : ( ~
% 267.31/41.48  |             (hAPP_int_bool(v0, v1) = v2) |  ~ int(v1) |  ? [v3: any] :  ? [v4:
% 267.31/41.48  |               int] :  ? [v5: bool] :  ? [v6: any] : (bit0(v1) = v4 &
% 267.31/41.48  |               hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v2) = v3 &
% 267.31/41.48  |               int(v4) & bool(v5) & ( ~ (v3 = 0) | v6 = 0))) &  ! [v1: int] : 
% 267.31/41.48  |           ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) |  ~ int(v1) |  ?
% 267.31/41.48  |             [v3: int] :  ? [v4: bool] :  ? [v5: any] :  ? [v6: any] :
% 267.31/41.48  |             (bit0(v1) = v3 & hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = v5 &
% 267.31/41.48  |               hBOOL(v2) = v6 & int(v3) & bool(v4) & ( ~ (v5 = 0) | v6 = 0))))
% 267.31/41.48  | 
% 267.31/41.48  | ALPHA: (fact_79_bin__less__0__simps_I1_J) implies:
% 267.31/41.48  |   (23)   ? [v0: fun_int_bool] :  ? [v1: bool] :  ? [v2: int] : ( ~ (v2 = 0) &
% 267.31/41.48  |           hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & hAPP_int_bool(v0,
% 267.31/41.48  |             zero_zero_int) = v1 & hBOOL(v1) = v2 & fun_int_bool(v0) &
% 267.31/41.48  |           bool(v1))
% 267.31/41.48  | 
% 267.31/41.48  | ALPHA: (fact_84_less__special_I4_J) implies:
% 267.31/41.49  |   (24)   ? [v0: int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.49  |             fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 267.31/41.49  |               v2) |  ~ int(v1) |  ? [v3: bool] :  ? [v4: any] :  ? [v5: int] :
% 267.31/41.49  |              ? [v6: fun_int_bool] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.49  |             (number_number_of_int(v1) = v5 &
% 267.31/41.49  |               hAPP_i1948725293t_bool(ord_less_int, v5) = v6 &
% 267.31/41.49  |               hAPP_int_bool(v6, one_one_int) = v7 & hAPP_int_bool(v2, v0) = v3
% 267.31/41.49  |               & hBOOL(v7) = v8 & hBOOL(v3) = v4 & fun_int_bool(v6) & int(v5) &
% 267.31/41.49  |               bool(v7) & bool(v3) & ( ~ (v4 = 0) | v8 = 0))) &  ! [v1: int] : 
% 267.31/41.49  |           ! [v2: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1)
% 267.31/41.49  |               = v2) |  ~ int(v1) |  ? [v3: int] :  ? [v4: fun_int_bool] :  ?
% 267.31/41.49  |             [v5: bool] :  ? [v6: any] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.49  |             (number_number_of_int(v1) = v3 &
% 267.31/41.49  |               hAPP_i1948725293t_bool(ord_less_int, v3) = v4 &
% 267.31/41.49  |               hAPP_int_bool(v4, one_one_int) = v5 & hAPP_int_bool(v2, v0) = v7
% 267.31/41.49  |               & hBOOL(v7) = v8 & hBOOL(v5) = v6 & fun_int_bool(v4) & int(v3) &
% 267.31/41.49  |               bool(v7) & bool(v5) & ( ~ (v6 = 0) | v8 = 0))))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_85_less__special_I4_J) implies:
% 267.31/41.49  |   (25)   ? [v0: int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.49  |             fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 267.31/41.49  |               v2) |  ~ int(v1) |  ? [v3: bool] :  ? [v4: any] :  ? [v5: real]
% 267.31/41.49  |             :  ? [v6: fun_real_bool] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.49  |             (hAPP_r1134773055l_bool(ord_less_real, v5) = v6 &
% 267.31/41.49  |               hAPP_real_bool(v6, one_one_real) = v7 &
% 267.31/41.49  |               number267125858f_real(v1) = v5 & hAPP_int_bool(v2, v0) = v3 &
% 267.31/41.49  |               hBOOL(v7) = v8 & hBOOL(v3) = v4 & fun_real_bool(v6) & real(v5) &
% 267.31/41.49  |               bool(v7) & bool(v3) & ( ~ (v4 = 0) | v8 = 0))) &  ! [v1: int] : 
% 267.31/41.49  |           ! [v2: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1)
% 267.31/41.49  |               = v2) |  ~ int(v1) |  ? [v3: real] :  ? [v4: fun_real_bool] :  ?
% 267.31/41.49  |             [v5: bool] :  ? [v6: any] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.49  |             (hAPP_r1134773055l_bool(ord_less_real, v3) = v4 &
% 267.31/41.49  |               hAPP_real_bool(v4, one_one_real) = v5 &
% 267.31/41.49  |               number267125858f_real(v1) = v3 & hAPP_int_bool(v2, v0) = v7 &
% 267.31/41.49  |               hBOOL(v7) = v8 & hBOOL(v5) = v6 & fun_real_bool(v4) & real(v3) &
% 267.31/41.49  |               bool(v7) & bool(v5) & ( ~ (v6 = 0) | v8 = 0))))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_86_less__special_I2_J) implies:
% 267.31/41.49  |   (26)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: fun_int_bool] :
% 267.31/41.49  |         (bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 267.31/41.49  |           hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 267.31/41.49  |           fun_int_bool(v2) & fun_int_bool(v0) & int(v1) &  ! [v3: int] :  !
% 267.31/41.49  |           [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5:
% 267.31/41.49  |               any] :  ? [v6: int] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.49  |             (number_number_of_int(v3) = v6 & hAPP_int_bool(v0, v6) = v7 &
% 267.31/41.49  |               hBOOL(v7) = v8 & hBOOL(v4) = v5 & int(v6) & bool(v7) & ( ~ (v5 =
% 267.31/41.49  |                   0) | v8 = 0))) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.31/41.49  |             (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: int] :  ? [v6:
% 267.31/41.49  |               bool] :  ? [v7: any] :  ? [v8: any] : (number_number_of_int(v3)
% 267.31/41.49  |               = v5 & hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v4) =
% 267.31/41.49  |               v8 & int(v5) & bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_87_less__special_I2_J) implies:
% 267.31/41.49  |   (27)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: fun_int_bool] :
% 267.31/41.49  |         (hAPP_r1134773055l_bool(ord_less_real, one_one_real) = v0 & bit1(pls)
% 267.31/41.49  |           = v1 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 267.31/41.49  |           fun_real_bool(v0) & fun_int_bool(v2) & int(v1) &  ! [v3: int] :  !
% 267.31/41.49  |           [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5:
% 267.31/41.49  |               any] :  ? [v6: real] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.49  |             (hAPP_real_bool(v0, v6) = v7 & number267125858f_real(v3) = v6 &
% 267.31/41.49  |               hBOOL(v7) = v8 & hBOOL(v4) = v5 & real(v6) & bool(v7) & ( ~ (v5
% 267.31/41.49  |                   = 0) | v8 = 0))) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.31/41.49  |             (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: real] :  ?
% 267.31/41.49  |             [v6: bool] :  ? [v7: any] :  ? [v8: any] : (hAPP_real_bool(v0, v5)
% 267.31/41.49  |               = v6 & number267125858f_real(v3) = v5 & hBOOL(v6) = v7 &
% 267.31/41.49  |               hBOOL(v4) = v8 & real(v5) & bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_88_odd__less__0) implies:
% 267.31/41.49  |   (28)   ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 267.31/41.49  |           fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int]
% 267.31/41.49  |           :  ! [v4: int] : ( ~ (plus_plus_int(v2) = v3) |  ~ (hAPP_int_int(v3,
% 267.31/41.49  |                 v1) = v4) |  ~ (hAPP_int_int(v0, v1) = v2) |  ~ int(v1) |  ?
% 267.31/41.49  |             [v5: fun_int_bool] :  ? [v6: bool] :  ? [v7: any] :  ? [v8:
% 267.31/41.49  |               fun_int_bool] :  ? [v9: bool] :  ? [v10: any] :
% 267.31/41.49  |             (hAPP_i1948725293t_bool(ord_less_int, v4) = v8 &
% 267.31/41.49  |               hAPP_i1948725293t_bool(ord_less_int, v1) = v5 &
% 267.31/41.49  |               hAPP_int_bool(v8, zero_zero_int) = v9 & hAPP_int_bool(v5,
% 267.31/41.49  |                 zero_zero_int) = v6 & hBOOL(v9) = v10 & hBOOL(v6) = v7 &
% 267.31/41.49  |               fun_int_bool(v8) & fun_int_bool(v5) & bool(v9) & bool(v6) & ( ~
% 267.31/41.49  |                 (v7 = 0) | v10 = 0))) &  ! [v1: int] :  ! [v2: int] :  ! [v3:
% 267.31/41.49  |             fun_int_int] :  ! [v4: int] : ( ~ (plus_plus_int(v2) = v3) |  ~
% 267.31/41.49  |             (hAPP_int_int(v3, v1) = v4) |  ~ (hAPP_int_int(v0, v1) = v2) |  ~
% 267.31/41.49  |             int(v1) |  ? [v5: fun_int_bool] :  ? [v6: bool] :  ? [v7: any] : 
% 267.31/41.49  |             ? [v8: fun_int_bool] :  ? [v9: bool] :  ? [v10: any] :
% 267.31/41.49  |             (hAPP_i1948725293t_bool(ord_less_int, v4) = v5 &
% 267.31/41.49  |               hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 267.31/41.49  |               hAPP_int_bool(v8, zero_zero_int) = v9 & hAPP_int_bool(v5,
% 267.31/41.49  |                 zero_zero_int) = v6 & hBOOL(v9) = v10 & hBOOL(v6) = v7 &
% 267.31/41.49  |               fun_int_bool(v8) & fun_int_bool(v5) & bool(v9) & bool(v6) & ( ~
% 267.31/41.49  |                 (v7 = 0) | v10 = 0))))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_98_Pls__def) implies:
% 267.31/41.49  |   (29)  pls = zero_zero_int
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_35_zero__is__num__zero) implies:
% 267.31/41.49  |   (30)  number_number_of_int(pls) = zero_zero_int
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_113_add__numeral__0) implies:
% 267.31/41.49  |   (31)   ? [v0: int] :  ? [v1: fun_int_int] : (number_number_of_int(pls) = v0
% 267.31/41.49  |           & plus_plus_int(v0) = v1 & fun_int_int(v1) & int(v0) &  ! [v2: int]
% 267.31/41.49  |           :  ! [v3: int] : (v3 = v2 |  ~ (hAPP_int_int(v1, v2) = v3) |  ~
% 267.31/41.49  |             int(v2)))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_115_add__numeral__0__right) implies:
% 267.31/41.49  |   (32)   ? [v0: int] : (number_number_of_int(pls) = v0 & int(v0) &  ! [v1:
% 267.31/41.49  |             int] :  ! [v2: fun_int_int] : ( ~ (plus_plus_int(v1) = v2) |  ~
% 267.31/41.49  |             int(v1) | hAPP_int_int(v2, v0) = v1))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_117_power__eq__0__iff__number__of) implies:
% 267.31/41.49  |   (33)   ! [v0: int] :  ! [v1: int] :  ! [v2: fun_nat_int] :  ! [v3: nat] : (
% 267.31/41.49  |           ~ (number_number_of_nat(v1) = v3) |  ~ (power_power_int(v0) = v2) | 
% 267.31/41.49  |           ~ (hAPP_nat_int(v2, v3) = zero_zero_int) |  ~ int(v1) |  ~ int(v0) |
% 267.31/41.49  |           (v0 = zero_zero_int &  ~ (v3 = zero_zero_nat)))
% 267.31/41.49  | 
% 267.31/41.49  | ALPHA: (fact_128_Bit1__def) implies:
% 267.31/41.50  |   (34)   ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 267.31/41.50  |           fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int]
% 267.31/41.50  |           :  ! [v4: int] : ( ~ (plus_plus_int(v2) = v3) |  ~ (hAPP_int_int(v3,
% 267.31/41.50  |                 v1) = v4) |  ~ (hAPP_int_int(v0, v1) = v2) |  ~ int(v1) |
% 267.31/41.50  |             (bit1(v1) = v4 & int(v4))))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_129_odd__nonzero) implies:
% 267.31/41.50  |   (35)   ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 267.31/41.50  |           fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int]
% 267.31/41.50  |           : ( ~ (plus_plus_int(v2) = v3) |  ~ (hAPP_int_int(v3, v1) =
% 267.31/41.50  |               zero_zero_int) |  ~ (hAPP_int_int(v0, v1) = v2) |  ~ int(v1)))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_131_number__of__int) implies:
% 267.31/41.50  |   (36)   ! [v0: nat] :  ! [v1: int] : ( ~
% 267.31/41.50  |           (hAPP_nat_int(semiri1621563631at_int, v0) = v1) |  ~ nat(v0) |
% 267.31/41.50  |           (number_number_of_int(v1) = v1 & int(v1)))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_133_zero__less__power2) implies:
% 267.31/41.50  |   (37)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.31/41.50  |         (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.31/41.50  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.50  |           fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  !
% 267.31/41.50  |           [v5: fun_nat_int] : (v4 = zero_zero_int |  ~ (power_power_int(v4) =
% 267.31/41.50  |               v5) |  ~ int(v4) |  ? [v6: int] :  ? [v7: bool] :
% 267.31/41.50  |             (hAPP_nat_int(v5, v3) = v6 & hAPP_int_bool(v0, v6) = v7 &
% 267.31/41.50  |               hBOOL(v7) = 0 & int(v6) & bool(v7))) &  ! [v4: fun_nat_int] : (
% 267.31/41.50  |             ~ (power_power_int(zero_zero_int) = v4) |  ? [v5: int] :  ? [v6:
% 267.31/41.50  |               bool] :  ? [v7: int] : ( ~ (v7 = 0) & hAPP_nat_int(v4, v3) = v5
% 267.31/41.50  |               & hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & int(v5) &
% 267.31/41.50  |               bool(v6))))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_134_zero__less__power2) implies:
% 267.31/41.50  |   (38)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.31/41.50  |         (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 &
% 267.31/41.50  |           bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.31/41.50  |           fun_real_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: real] :  !
% 267.31/41.50  |           [v5: fun_nat_real] : (v4 = zero_zero_real |  ~ (power_power_real(v4)
% 267.31/41.50  |               = v5) |  ~ real(v4) |  ? [v6: real] :  ? [v7: bool] :
% 267.31/41.50  |             (hAPP_real_bool(v0, v6) = v7 & hAPP_nat_real(v5, v3) = v6 &
% 267.31/41.50  |               hBOOL(v7) = 0 & real(v6) & bool(v7))) &  ! [v4: fun_nat_real] :
% 267.31/41.50  |           ( ~ (power_power_real(zero_zero_real) = v4) |  ? [v5: real] :  ?
% 267.31/41.50  |             [v6: bool] :  ? [v7: int] : ( ~ (v7 = 0) & hAPP_real_bool(v0, v5)
% 267.31/41.50  |               = v6 & hAPP_nat_real(v4, v3) = v5 & hBOOL(v6) = v7 & real(v5) &
% 267.31/41.50  |               bool(v6))))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_135_power2__less__0) implies:
% 267.31/41.50  |   (39)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.31/41.50  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.31/41.50  |           int(v0) &  ! [v3: int] :  ! [v4: fun_nat_int] : ( ~
% 267.31/41.50  |             (power_power_int(v3) = v4) |  ~ int(v3) |  ? [v5: int] :  ? [v6:
% 267.31/41.50  |               fun_int_bool] :  ? [v7: bool] :  ? [v8: int] : ( ~ (v8 = 0) &
% 267.31/41.50  |               hAPP_i1948725293t_bool(ord_less_int, v5) = v6 & hAPP_nat_int(v4,
% 267.31/41.50  |                 v2) = v5 & hAPP_int_bool(v6, zero_zero_int) = v7 & hBOOL(v7) =
% 267.31/41.50  |               v8 & fun_int_bool(v6) & int(v5) & bool(v7))))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_136_power2__less__0) implies:
% 267.31/41.50  |   (40)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.31/41.50  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.31/41.50  |           int(v0) &  ! [v3: real] :  ! [v4: fun_nat_real] : ( ~
% 267.31/41.50  |             (power_power_real(v3) = v4) |  ~ real(v3) |  ? [v5: real] :  ?
% 267.31/41.50  |             [v6: fun_real_bool] :  ? [v7: bool] :  ? [v8: int] : ( ~ (v8 = 0)
% 267.31/41.50  |               & hAPP_r1134773055l_bool(ord_less_real, v5) = v6 &
% 267.31/41.50  |               hAPP_real_bool(v6, zero_zero_real) = v7 & hAPP_nat_real(v4, v2)
% 267.31/41.50  |               = v5 & hBOOL(v7) = v8 & fun_real_bool(v6) & real(v5) &
% 267.31/41.50  |               bool(v7))))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_137_sum__power2__gt__zero__iff) implies:
% 267.31/41.50  |   (41)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.31/41.50  |         (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.31/41.50  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.50  |           fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  !
% 267.31/41.50  |           [v5: int] :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8:
% 267.31/41.50  |             fun_int_int] :  ! [v9: fun_nat_int] :  ! [v10: int] :  ! [v11:
% 267.31/41.50  |             int] : ( ~ (power_power_int(v5) = v9) |  ~ (power_power_int(v4) =
% 267.31/41.50  |               v6) |  ~ (plus_plus_int(v7) = v8) |  ~ (hAPP_nat_int(v9, v3) =
% 267.31/41.50  |               v10) |  ~ (hAPP_nat_int(v6, v3) = v7) |  ~ (hAPP_int_int(v8,
% 267.31/41.50  |                 v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ? [v12: bool] :
% 267.31/41.50  |             (hAPP_int_bool(v0, v11) = v12 & hBOOL(v12) = 0 & bool(v12)) | (v5
% 267.31/41.50  |               = zero_zero_int & v4 = zero_zero_int)) &  ! [v4: fun_nat_int] : 
% 267.31/41.50  |           ! [v5: int] :  ! [v6: fun_int_int] :  ! [v7: int] : ( ~
% 267.31/41.50  |             (power_power_int(zero_zero_int) = v4) |  ~ (plus_plus_int(v5) =
% 267.31/41.50  |               v6) |  ~ (hAPP_nat_int(v4, v3) = v5) |  ~ (hAPP_int_int(v6, v5)
% 267.31/41.50  |               = v7) |  ? [v8: bool] :  ? [v9: int] : ( ~ (v9 = 0) &
% 267.31/41.50  |               hAPP_int_bool(v0, v7) = v8 & hBOOL(v8) = v9 & bool(v8))))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_138_sum__power2__gt__zero__iff) implies:
% 267.31/41.50  |   (42)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.31/41.50  |         (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 &
% 267.31/41.50  |           bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.31/41.50  |           fun_real_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: real] :  !
% 267.31/41.50  |           [v5: real] :  ! [v6: fun_nat_real] :  ! [v7: real] :  ! [v8:
% 267.31/41.50  |             fun_real_real] :  ! [v9: fun_nat_real] :  ! [v10: real] :  ! [v11:
% 267.31/41.50  |             real] : ( ~ (plus_plus_real(v7) = v8) |  ~ (power_power_real(v5) =
% 267.31/41.50  |               v9) |  ~ (power_power_real(v4) = v6) |  ~ (hAPP_nat_real(v9, v3)
% 267.31/41.50  |               = v10) |  ~ (hAPP_nat_real(v6, v3) = v7) |  ~
% 267.31/41.50  |             (hAPP_real_real(v8, v10) = v11) |  ~ real(v5) |  ~ real(v4) |  ?
% 267.31/41.50  |             [v12: bool] : (hAPP_real_bool(v0, v11) = v12 & hBOOL(v12) = 0 &
% 267.31/41.50  |               bool(v12)) | (v5 = zero_zero_real & v4 = zero_zero_real)) &  !
% 267.31/41.50  |           [v4: fun_nat_real] :  ! [v5: real] :  ! [v6: fun_real_real] :  !
% 267.31/41.50  |           [v7: real] : ( ~ (plus_plus_real(v5) = v6) |  ~
% 267.31/41.50  |             (power_power_real(zero_zero_real) = v4) |  ~ (hAPP_nat_real(v4,
% 267.31/41.50  |                 v3) = v5) |  ~ (hAPP_real_real(v6, v5) = v7) |  ? [v8: bool] :
% 267.31/41.50  |              ? [v9: int] : ( ~ (v9 = 0) & hAPP_real_bool(v0, v7) = v8 &
% 267.31/41.50  |               hBOOL(v8) = v9 & bool(v8))))
% 267.31/41.50  | 
% 267.31/41.50  | ALPHA: (fact_139_not__sum__power2__lt__zero) implies:
% 267.31/41.51  |   (43)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.31/41.51  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.31/41.51  |           int(v0) &  ! [v3: int] :  ! [v4: int] :  ! [v5: fun_nat_int] :  !
% 267.31/41.51  |           [v6: int] :  ! [v7: fun_int_int] :  ! [v8: fun_nat_int] :  ! [v9:
% 267.31/41.51  |             int] :  ! [v10: int] : ( ~ (power_power_int(v4) = v8) |  ~
% 267.31/41.51  |             (power_power_int(v3) = v5) |  ~ (plus_plus_int(v6) = v7) |  ~
% 267.31/41.51  |             (hAPP_nat_int(v8, v2) = v9) |  ~ (hAPP_nat_int(v5, v2) = v6) |  ~
% 267.31/41.51  |             (hAPP_int_int(v7, v9) = v10) |  ~ int(v4) |  ~ int(v3) |  ? [v11:
% 267.31/41.51  |               fun_int_bool] :  ? [v12: bool] :  ? [v13: int] : ( ~ (v13 = 0) &
% 267.31/41.51  |               hAPP_i1948725293t_bool(ord_less_int, v10) = v11 &
% 267.31/41.51  |               hAPP_int_bool(v11, zero_zero_int) = v12 & hBOOL(v12) = v13 &
% 267.31/41.51  |               fun_int_bool(v11) & bool(v12))))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_140_not__sum__power2__lt__zero) implies:
% 267.31/41.51  |   (44)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.31/41.51  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.31/41.51  |           int(v0) &  ! [v3: real] :  ! [v4: real] :  ! [v5: fun_nat_real] :  !
% 267.31/41.51  |           [v6: real] :  ! [v7: fun_real_real] :  ! [v8: fun_nat_real] :  !
% 267.31/41.51  |           [v9: real] :  ! [v10: real] : ( ~ (plus_plus_real(v6) = v7) |  ~
% 267.31/41.51  |             (power_power_real(v4) = v8) |  ~ (power_power_real(v3) = v5) |  ~
% 267.31/41.51  |             (hAPP_nat_real(v8, v2) = v9) |  ~ (hAPP_nat_real(v5, v2) = v6) | 
% 267.31/41.51  |             ~ (hAPP_real_real(v7, v9) = v10) |  ~ real(v4) |  ~ real(v3) |  ?
% 267.31/41.51  |             [v11: fun_real_bool] :  ? [v12: bool] :  ? [v13: int] : ( ~ (v13 =
% 267.31/41.51  |                 0) & hAPP_r1134773055l_bool(ord_less_real, v10) = v11 &
% 267.31/41.51  |               hAPP_real_bool(v11, zero_zero_real) = v12 & hBOOL(v12) = v13 &
% 267.31/41.51  |               fun_real_bool(v11) & bool(v12))))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_143_number__of__Bit1) implies:
% 267.31/41.51  |   (45)   ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 267.31/41.51  |           fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: int] :  !
% 267.31/41.51  |           [v4: fun_int_int] :  ! [v5: int] : ( ~ (number_number_of_int(v1) =
% 267.31/41.51  |               v2) |  ~ (plus_plus_int(v3) = v4) |  ~ (hAPP_int_int(v4, v2) =
% 267.31/41.51  |               v5) |  ~ (hAPP_int_int(v0, v2) = v3) |  ~ int(v1) |  ? [v6: int]
% 267.31/41.51  |             : (number_number_of_int(v6) = v5 & bit1(v1) = v6 & int(v6) &
% 267.31/41.51  |               int(v5))))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_53_one__is__num__one) implies:
% 267.31/41.51  |   (46)   ? [v0: int] : (number_number_of_int(v0) = one_one_int & bit1(pls) =
% 267.31/41.51  |           v0 & int(v0))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_55_Numeral1__eq1__nat) implies:
% 267.31/41.51  |   (47)   ? [v0: int] : (bit1(pls) = v0 & number_number_of_nat(v0) =
% 267.31/41.51  |           one_one_nat & int(v0))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_28_numeral__1__eq__1) implies:
% 267.31/41.51  |   (48)   ? [v0: int] : (number267125858f_real(v0) = one_one_real & bit1(pls) =
% 267.31/41.51  |           v0 & int(v0))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_148_mn) implies:
% 267.31/41.51  |   (49)   ? [v0: fun_int_bool] :  ? [v1: fun_int_int] :  ? [v2: int] :  ? [v3:
% 267.31/41.51  |           int] :  ? [v4: bool] : (hAPP_i1948725293t_bool(ord_less_int, m1) =
% 267.31/41.51  |           v0 & plus_plus_int(one_one_int) = v1 &
% 267.31/41.51  |           hAPP_nat_int(semiri1621563631at_int, n) = v2 & hAPP_int_int(v1, v2)
% 267.31/41.51  |           = v3 & hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0 & fun_int_int(v1)
% 267.31/41.51  |           & fun_int_bool(v0) & int(v3) & int(v2) & bool(v4))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_149_of__nat__less__two__power) implies:
% 267.31/41.51  |   (50)   ? [v0: int] :  ? [v1: int] :  ? [v2: int] :  ? [v3: fun_nat_int] :
% 267.31/41.51  |         (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 267.31/41.51  |           power_power_int(v2) = v3 & fun_nat_int(v3) & int(v2) & int(v1) &
% 267.31/41.51  |           int(v0) &  ! [v4: nat] :  ! [v5: int] :  ! [v6: fun_int_bool] :  !
% 267.31/41.51  |           [v7: int] :  ! [v8: bool] : ( ~
% 267.31/41.51  |             (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) |  ~
% 267.31/41.51  |             (hAPP_nat_int(v3, v4) = v7) |  ~
% 267.31/41.51  |             (hAPP_nat_int(semiri1621563631at_int, v4) = v5) |  ~
% 267.31/41.51  |             (hAPP_int_bool(v6, v7) = v8) |  ~ nat(v4) | hBOOL(v8) = 0))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_150_of__nat__less__two__power) implies:
% 267.31/41.51  |   (51)   ? [v0: int] :  ? [v1: int] :  ? [v2: real] :  ? [v3: fun_nat_real] :
% 267.31/41.51  |         (number267125858f_real(v1) = v2 & power_power_real(v2) = v3 &
% 267.31/41.51  |           bit1(pls) = v0 & bit0(v0) = v1 & fun_nat_real(v3) & real(v2) &
% 267.31/41.51  |           int(v1) & int(v0) &  ! [v4: nat] :  ! [v5: real] :  ! [v6:
% 267.31/41.51  |             fun_real_bool] :  ! [v7: real] :  ! [v8: bool] : ( ~
% 267.31/41.51  |             (hAPP_r1134773055l_bool(ord_less_real, v5) = v6) |  ~
% 267.31/41.51  |             (hAPP_real_bool(v6, v7) = v8) |  ~ (hAPP_nat_real(v3, v4) = v7) | 
% 267.31/41.51  |             ~ (hAPP_nat_real(semiri132038758t_real, v4) = v5) |  ~ nat(v4) |
% 267.31/41.51  |             hBOOL(v8) = 0))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_151_transfer__int__nat__numerals_I3_J) implies:
% 267.31/41.51  |   (52)   ? [v0: int] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.31/41.51  |         (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 267.31/41.51  |           number_number_of_nat(v1) = v3 & hAPP_nat_int(semiri1621563631at_int,
% 267.31/41.51  |             v3) = v2 & nat(v3) & int(v2) & int(v1) & int(v0))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_152_transfer__int__nat__numerals_I4_J) implies:
% 267.31/41.51  |   (53)   ? [v0: int] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.31/41.51  |         (number_number_of_int(v1) = v2 & bit1(v0) = v1 & bit1(pls) = v0 &
% 267.31/41.51  |           number_number_of_nat(v1) = v3 & hAPP_nat_int(semiri1621563631at_int,
% 267.31/41.51  |             v3) = v2 & nat(v3) & int(v2) & int(v1) & int(v0))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_3_sum__power2__eq__zero__iff) implies:
% 267.31/41.51  |   (54)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.31/41.51  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.31/41.51  |           int(v0) &  ! [v3: real] :  ! [v4: real] :  ! [v5: fun_nat_real] :  !
% 267.31/41.51  |           [v6: real] :  ! [v7: fun_real_real] :  ! [v8: fun_nat_real] :  !
% 267.31/41.51  |           [v9: real] : ( ~ (plus_plus_real(v6) = v7) |  ~
% 267.31/41.51  |             (power_power_real(v4) = v8) |  ~ (power_power_real(v3) = v5) |  ~
% 267.31/41.51  |             (hAPP_nat_real(v8, v2) = v9) |  ~ (hAPP_nat_real(v5, v2) = v6) | 
% 267.31/41.51  |             ~ (hAPP_real_real(v7, v9) = zero_zero_real) |  ~ real(v4) |  ~
% 267.31/41.51  |             real(v3) | (v4 = zero_zero_real & v3 = zero_zero_real)) &  ! [v3:
% 267.31/41.51  |             fun_nat_real] :  ! [v4: real] :  ! [v5: fun_real_real] :  ! [v6:
% 267.31/41.51  |             real] : (v6 = zero_zero_real |  ~ (plus_plus_real(v4) = v5) |  ~
% 267.31/41.51  |             (power_power_real(zero_zero_real) = v3) |  ~ (hAPP_nat_real(v3,
% 267.31/41.51  |                 v2) = v4) |  ~ (hAPP_real_real(v5, v4) = v6)))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_163_power__strict__decreasing) implies:
% 267.31/41.51  |   (55)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 267.31/41.51  |             zero_zero_int) = v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.51  |             nat] :  ! [v3: nat] :  ! [v4: fun_nat_int] :  ! [v5: int] :  !
% 267.31/41.51  |           [v6: fun_int_bool] :  ! [v7: int] :  ! [v8: bool] : ( ~
% 267.31/41.51  |             (power_power_int(v1) = v4) |  ~
% 267.31/41.51  |             (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) |  ~
% 267.31/41.51  |             (hAPP_nat_int(v4, v3) = v5) |  ~ (hAPP_nat_int(v4, v2) = v7) |  ~
% 267.31/41.51  |             (hAPP_int_bool(v6, v7) = v8) |  ~ nat(v3) |  ~ nat(v2) |  ~
% 267.31/41.51  |             int(v1) |  ? [v9: fun_nat_bool] :  ? [v10: bool] :  ? [v11: any] :
% 267.31/41.51  |              ? [v12: bool] :  ? [v13: any] :  ? [v14: fun_int_bool] :  ? [v15:
% 267.31/41.51  |               bool] :  ? [v16: any] :  ? [v17: any] :
% 267.31/41.51  |             (hAPP_n1699378549t_bool(ord_less_nat, v2) = v9 & hAPP_nat_bool(v9,
% 267.31/41.51  |                 v3) = v10 & hAPP_i1948725293t_bool(ord_less_int, v1) = v14 &
% 267.31/41.51  |               hAPP_int_bool(v14, one_one_int) = v15 & hAPP_int_bool(v0, v1) =
% 267.31/41.51  |               v12 & hBOOL(v15) = v16 & hBOOL(v12) = v13 & hBOOL(v10) = v11 &
% 267.31/41.51  |               hBOOL(v8) = v17 & fun_nat_bool(v9) & fun_int_bool(v14) &
% 267.31/41.51  |               bool(v15) & bool(v12) & bool(v10) & ( ~ (v16 = 0) |  ~ (v13 = 0)
% 267.31/41.51  |                 |  ~ (v11 = 0) | v17 = 0))))
% 267.31/41.51  | 
% 267.31/41.51  | ALPHA: (fact_166_zero__less__two) implies:
% 267.31/41.52  |   (56)   ? [v0: fun_int_bool] :  ? [v1: fun_int_int] :  ? [v2: int] :  ? [v3:
% 267.31/41.52  |           bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.52  |           plus_plus_int(one_one_int) = v1 & hAPP_int_int(v1, one_one_int) = v2
% 267.31/41.52  |           & hAPP_int_bool(v0, v2) = v3 & hBOOL(v3) = 0 & fun_int_int(v1) &
% 267.31/41.52  |           fun_int_bool(v0) & int(v2) & bool(v3))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_207_less__nat__number__of) implies:
% 267.31/41.52  |   (57)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, pls) =
% 267.31/41.52  |           v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2: int] :  ! [v3: nat] :
% 267.31/41.52  |            ! [v4: fun_nat_bool] :  ! [v5: nat] :  ! [v6: bool] : ( ~
% 267.31/41.52  |             (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) |  ~
% 267.31/41.52  |             (hAPP_nat_bool(v4, v5) = v6) |  ~ (number_number_of_nat(v2) = v5)
% 267.31/41.52  |             |  ~ (number_number_of_nat(v1) = v3) |  ~ int(v2) |  ~ int(v1) | 
% 267.31/41.52  |             ? [v7: any] :  ? [v8: fun_int_bool] :  ? [v9: bool] :  ? [v10:
% 267.31/41.52  |               any] :  ? [v11: bool] :  ? [v12: any] :
% 267.31/41.52  |             (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 & hAPP_int_bool(v8,
% 267.31/41.52  |                 v2) = v9 & hAPP_int_bool(v0, v2) = v11 & hBOOL(v11) = v12 &
% 267.31/41.52  |               hBOOL(v9) = v10 & hBOOL(v6) = v7 & fun_int_bool(v8) & bool(v11)
% 267.31/41.52  |               & bool(v9) & ( ~ (v7 = 0) | (v12 = 0 & v10 = 0)))) &  ! [v1:
% 267.31/41.52  |             int] :  ! [v2: int] :  ! [v3: nat] :  ! [v4: fun_nat_bool] :  !
% 267.31/41.52  |           [v5: nat] :  ! [v6: bool] : ( ~
% 267.31/41.52  |             (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) |  ~
% 267.31/41.52  |             (hAPP_nat_bool(v4, v5) = v6) |  ~ (number_number_of_nat(v2) = v5)
% 267.31/41.52  |             |  ~ (number_number_of_nat(v1) = v3) |  ~ int(v2) |  ~ int(v1) | 
% 267.31/41.52  |             ? [v7: fun_int_bool] :  ? [v8: bool] :  ? [v9: any] :  ? [v10:
% 267.31/41.52  |               bool] :  ? [v11: any] :  ? [v12: any] :
% 267.31/41.52  |             (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 & hAPP_int_bool(v7,
% 267.31/41.52  |                 v2) = v8 & hAPP_int_bool(v0, v2) = v10 & hBOOL(v10) = v11 &
% 267.31/41.52  |               hBOOL(v8) = v9 & hBOOL(v6) = v12 & fun_int_bool(v7) & bool(v10)
% 267.31/41.52  |               & bool(v8) & ( ~ (v11 = 0) |  ~ (v9 = 0) | v12 = 0))))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_222_less__0__number__of) implies:
% 267.31/41.52  |   (58)   ? [v0: fun_nat_bool] :  ? [v1: fun_int_bool] :
% 267.31/41.52  |         (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 &
% 267.31/41.52  |           hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_nat_bool(v0) &
% 267.31/41.52  |           fun_int_bool(v1) &  ! [v2: int] :  ! [v3: bool] : ( ~
% 267.31/41.52  |             (hAPP_int_bool(v1, v2) = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5:
% 267.31/41.52  |               nat] :  ? [v6: bool] :  ? [v7: any] : (hAPP_nat_bool(v0, v5) =
% 267.31/41.52  |               v6 & number_number_of_nat(v2) = v5 & hBOOL(v6) = v7 & hBOOL(v3)
% 267.31/41.52  |               = v4 & nat(v5) & bool(v6) & ( ~ (v4 = 0) | v7 = 0))) &  ! [v2:
% 267.31/41.52  |             int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) |  ~
% 267.31/41.52  |             int(v2) |  ? [v4: nat] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 267.31/41.52  |               any] : (hAPP_nat_bool(v0, v4) = v5 & number_number_of_nat(v2) =
% 267.31/41.52  |               v4 & hBOOL(v5) = v6 & hBOOL(v3) = v7 & nat(v4) & bool(v5) & ( ~
% 267.31/41.52  |                 (v6 = 0) | v7 = 0))))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_223_zero__less__int__conv) implies:
% 267.31/41.52  |   (59)   ? [v0: fun_int_bool] :  ? [v1: fun_nat_bool] :
% 267.31/41.52  |         (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 267.31/41.52  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.52  |           fun_nat_bool(v1) & fun_int_bool(v0) &  ! [v2: nat] :  ! [v3: bool] :
% 267.31/41.52  |           ( ~ (hAPP_nat_bool(v1, v2) = v3) |  ~ nat(v2) |  ? [v4: any] :  ?
% 267.31/41.52  |             [v5: int] :  ? [v6: bool] :  ? [v7: any] :
% 267.31/41.52  |             (hAPP_nat_int(semiri1621563631at_int, v2) = v5 & hAPP_int_bool(v0,
% 267.31/41.52  |                 v5) = v6 & hBOOL(v6) = v7 & hBOOL(v3) = v4 & int(v5) &
% 267.31/41.52  |               bool(v6) & ( ~ (v4 = 0) | v7 = 0))) &  ! [v2: nat] :  ! [v3:
% 267.31/41.52  |             bool] : ( ~ (hAPP_nat_bool(v1, v2) = v3) |  ~ nat(v2) |  ? [v4:
% 267.31/41.52  |               int] :  ? [v5: bool] :  ? [v6: any] :  ? [v7: any] :
% 267.31/41.52  |             (hAPP_nat_int(semiri1621563631at_int, v2) = v4 & hAPP_int_bool(v0,
% 267.31/41.52  |                 v4) = v5 & hBOOL(v5) = v6 & hBOOL(v3) = v7 & int(v4) &
% 267.31/41.52  |               bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_40_int__1) implies:
% 267.31/41.52  |   (60)  hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_258_pos__add__strict) implies:
% 267.31/41.52  |   (61)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 267.31/41.52  |             zero_zero_int) = v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.52  |             int] :  ! [v3: int] :  ! [v4: fun_int_bool] :  ! [v5: fun_int_int]
% 267.31/41.52  |           :  ! [v6: int] :  ! [v7: bool] : ( ~
% 267.31/41.52  |             (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) |  ~
% 267.31/41.52  |             (plus_plus_int(v3) = v5) |  ~ (hAPP_int_int(v5, v2) = v6) |  ~
% 267.31/41.52  |             (hAPP_int_bool(v4, v6) = v7) |  ~ int(v3) |  ~ int(v2) |  ~
% 267.31/41.52  |             int(v1) |  ? [v8: bool] :  ? [v9: any] :  ? [v10: bool] :  ? [v11:
% 267.31/41.52  |               any] :  ? [v12: any] : (hAPP_int_bool(v4, v2) = v10 &
% 267.31/41.52  |               hAPP_int_bool(v0, v3) = v8 & hBOOL(v10) = v11 & hBOOL(v8) = v9 &
% 267.31/41.52  |               hBOOL(v7) = v12 & bool(v10) & bool(v8) & ( ~ (v11 = 0) |  ~ (v9
% 267.31/41.52  |                   = 0) | v12 = 0))))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_81_int__0__less__1) implies:
% 267.31/41.52  |   (62)   ? [v0: fun_int_bool] :  ? [v1: bool] :
% 267.31/41.52  |         (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.52  |           hAPP_int_bool(v0, one_one_int) = v1 & hBOOL(v1) = 0 &
% 267.31/41.52  |           fun_int_bool(v0) & bool(v1))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_267_zero__less__power) implies:
% 267.31/41.52  |   (63)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 267.31/41.52  |             zero_zero_int) = v0 & fun_int_bool(v0) &  ! [v1: nat] :  ! [v2:
% 267.31/41.52  |             int] :  ! [v3: fun_nat_int] :  ! [v4: int] : ( ~
% 267.31/41.52  |             (power_power_int(v2) = v3) |  ~ (hAPP_nat_int(v3, v1) = v4) |  ~
% 267.31/41.52  |             nat(v1) |  ~ int(v2) |  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 267.31/41.52  |               bool] :  ? [v8: any] : (hAPP_int_bool(v0, v4) = v7 &
% 267.31/41.52  |               hAPP_int_bool(v0, v2) = v5 & hBOOL(v7) = v8 & hBOOL(v5) = v6 &
% 267.31/41.52  |               bool(v7) & bool(v5) & ( ~ (v6 = 0) | v8 = 0))))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_296_pos2) implies:
% 267.31/41.52  |   (64)   ? [v0: fun_nat_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] : 
% 267.31/41.52  |         ? [v4: bool] : (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) =
% 267.31/41.52  |           v0 & hAPP_nat_bool(v0, v3) = v4 & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.31/41.52  |           number_number_of_nat(v2) = v3 & hBOOL(v4) = 0 & fun_nat_bool(v0) &
% 267.31/41.52  |           nat(v3) & int(v2) & int(v1) & bool(v4))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_297_zero__less__imp__eq__int) implies:
% 267.31/41.52  |   (65)   ? [v0: fun_int_bool] :  ? [v1: fun_nat_bool] :
% 267.31/41.52  |         (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 267.31/41.52  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.52  |           fun_nat_bool(v1) & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] :
% 267.31/41.52  |           ( ~ (hAPP_int_bool(v0, v2) = v3) |  ~ int(v2) |  ? [v4: nat] :  ?
% 267.31/41.52  |             [v5: bool] : (hAPP_nat_bool(v1, v4) = v5 &
% 267.31/41.52  |               hAPP_nat_int(semiri1621563631at_int, v4) = v2 & hBOOL(v5) = 0 &
% 267.31/41.52  |               nat(v4) & bool(v5)) |  ? [v4: int] : ( ~ (v4 = 0) & hBOOL(v3) =
% 267.31/41.52  |               v4)))
% 267.31/41.52  | 
% 267.31/41.52  | ALPHA: (fact_304_zero__less__double__add__iff__zero__less__single__add)
% 267.31/41.52  |        implies:
% 267.31/41.53  |   (66)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 267.31/41.53  |             zero_zero_int) = v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.53  |             bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) |  ~ int(v1) |  ? [v3:
% 267.31/41.53  |               any] :  ? [v4: fun_int_int] :  ? [v5: int] :  ? [v6: bool] :  ?
% 267.31/41.53  |             [v7: any] : (plus_plus_int(v1) = v4 & hAPP_int_int(v4, v1) = v5 &
% 267.31/41.53  |               hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v2) = v3 &
% 267.31/41.53  |               fun_int_int(v4) & int(v5) & bool(v6) & ( ~ (v3 = 0) | v7 = 0)))
% 267.31/41.53  |           &  ! [v1: int] :  ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | 
% 267.31/41.53  |             ~ int(v1) |  ? [v3: fun_int_int] :  ? [v4: int] :  ? [v5: bool] : 
% 267.31/41.53  |             ? [v6: any] :  ? [v7: any] : (plus_plus_int(v1) = v3 &
% 267.31/41.53  |               hAPP_int_int(v3, v1) = v4 & hAPP_int_bool(v0, v4) = v5 &
% 267.31/41.53  |               hBOOL(v5) = v6 & hBOOL(v2) = v7 & fun_int_int(v3) & int(v4) &
% 267.31/41.53  |               bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_402_add__pos__pos) implies:
% 267.31/41.53  |   (67)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 267.31/41.53  |             zero_zero_int) = v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.53  |             int] :  ! [v3: bool] :  ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 267.31/41.53  |               = v3) |  ~ (hAPP_int_bool(v0, v1) = v4) |  ~ int(v2) |  ~
% 267.31/41.53  |             int(v1) |  ? [v5: any] :  ? [v6: any] :  ? [v7: fun_int_int] :  ?
% 267.31/41.53  |             [v8: int] :  ? [v9: bool] :  ? [v10: any] : (plus_plus_int(v2) =
% 267.31/41.53  |               v7 & hAPP_int_int(v7, v1) = v8 & hAPP_int_bool(v0, v8) = v9 &
% 267.31/41.53  |               hBOOL(v9) = v10 & hBOOL(v4) = v6 & hBOOL(v3) = v5 &
% 267.31/41.53  |               fun_int_int(v7) & int(v8) & bool(v9) & ( ~ (v6 = 0) |  ~ (v5 =
% 267.31/41.53  |                   0) | v10 = 0))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_447_zless__le) implies:
% 267.31/41.53  |   (68)   ! [v0: int] :  ! [v1: int] :  ! [v2: fun_int_bool] :  ! [v3: bool] :
% 267.31/41.53  |         ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) |  ~
% 267.31/41.53  |           (hAPP_int_bool(v2, v1) = v3) |  ~ int(v1) |  ~ int(v0) |  ? [v4:
% 267.31/41.53  |             any] :  ? [v5: fun_int_bool] :  ? [v6: bool] :  ? [v7: any] :
% 267.31/41.53  |           (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v5 &
% 267.31/41.53  |             hAPP_int_bool(v5, v1) = v6 & hBOOL(v6) = v7 & hBOOL(v3) = v4 &
% 267.31/41.53  |             fun_int_bool(v5) & bool(v6) & ( ~ (v4 = 0) | (v7 = 0 &  ~ (v1 =
% 267.31/41.53  |                   v0)))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_463_le__special_I2_J) implies:
% 267.31/41.53  |   (69)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: fun_int_bool] :
% 267.31/41.53  |         (hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = v0 &
% 267.31/41.53  |           bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 &
% 267.31/41.53  |           fun_real_bool(v0) & fun_int_bool(v2) & int(v1) &  ! [v3: int] :  !
% 267.31/41.53  |           [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5:
% 267.31/41.53  |               any] :  ? [v6: real] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.53  |             (hAPP_real_bool(v0, v6) = v7 & number267125858f_real(v3) = v6 &
% 267.31/41.53  |               hBOOL(v7) = v8 & hBOOL(v4) = v5 & real(v6) & bool(v7) & ( ~ (v5
% 267.31/41.53  |                   = 0) | v8 = 0))) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.31/41.53  |             (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: real] :  ?
% 267.31/41.53  |             [v6: bool] :  ? [v7: any] :  ? [v8: any] : (hAPP_real_bool(v0, v5)
% 267.31/41.53  |               = v6 & number267125858f_real(v3) = v5 & hBOOL(v6) = v7 &
% 267.31/41.53  |               hBOOL(v4) = v8 & real(v5) & bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_464_le__special_I2_J) implies:
% 267.31/41.53  |   (70)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: fun_int_bool] :
% 267.31/41.53  |         (bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 &
% 267.31/41.53  |           hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 &
% 267.31/41.53  |           fun_int_bool(v2) & fun_int_bool(v0) & int(v1) &  ! [v3: int] :  !
% 267.31/41.53  |           [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5:
% 267.31/41.53  |               any] :  ? [v6: int] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.53  |             (number_number_of_int(v3) = v6 & hAPP_int_bool(v0, v6) = v7 &
% 267.31/41.53  |               hBOOL(v7) = v8 & hBOOL(v4) = v5 & int(v6) & bool(v7) & ( ~ (v5 =
% 267.31/41.53  |                   0) | v8 = 0))) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.31/41.53  |             (hAPP_int_bool(v2, v3) = v4) |  ~ int(v3) |  ? [v5: int] :  ? [v6:
% 267.31/41.53  |               bool] :  ? [v7: any] :  ? [v8: any] : (number_number_of_int(v3)
% 267.31/41.53  |               = v5 & hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v4) =
% 267.31/41.53  |               v8 & int(v5) & bool(v6) & ( ~ (v7 = 0) | v8 = 0))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_465_le__special_I4_J) implies:
% 267.31/41.53  |   (71)   ? [v0: int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.53  |             fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 267.31/41.53  |               v2) |  ~ int(v1) |  ? [v3: bool] :  ? [v4: any] :  ? [v5: real]
% 267.31/41.53  |             :  ? [v6: fun_real_bool] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.53  |             (hAPP_r1134773055l_bool(ord_less_eq_real, v5) = v6 &
% 267.31/41.53  |               hAPP_real_bool(v6, one_one_real) = v7 &
% 267.31/41.53  |               number267125858f_real(v1) = v5 & hAPP_int_bool(v2, v0) = v3 &
% 267.31/41.53  |               hBOOL(v7) = v8 & hBOOL(v3) = v4 & fun_real_bool(v6) & real(v5) &
% 267.31/41.53  |               bool(v7) & bool(v3) & ( ~ (v4 = 0) | v8 = 0))) &  ! [v1: int] : 
% 267.31/41.53  |           ! [v2: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int,
% 267.31/41.53  |                 v1) = v2) |  ~ int(v1) |  ? [v3: real] :  ? [v4:
% 267.31/41.53  |               fun_real_bool] :  ? [v5: bool] :  ? [v6: any] :  ? [v7: bool] : 
% 267.31/41.53  |             ? [v8: any] : (hAPP_r1134773055l_bool(ord_less_eq_real, v3) = v4 &
% 267.31/41.53  |               hAPP_real_bool(v4, one_one_real) = v5 &
% 267.31/41.53  |               number267125858f_real(v1) = v3 & hAPP_int_bool(v2, v0) = v7 &
% 267.31/41.53  |               hBOOL(v7) = v8 & hBOOL(v5) = v6 & fun_real_bool(v4) & real(v3) &
% 267.31/41.53  |               bool(v7) & bool(v5) & ( ~ (v6 = 0) | v8 = 0))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_466_le__special_I4_J) implies:
% 267.31/41.53  |   (72)   ? [v0: int] : (bit1(pls) = v0 & int(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.53  |             fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 267.31/41.53  |               v2) |  ~ int(v1) |  ? [v3: bool] :  ? [v4: any] :  ? [v5: int] :
% 267.31/41.53  |              ? [v6: fun_int_bool] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.53  |             (number_number_of_int(v1) = v5 &
% 267.31/41.53  |               hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6 &
% 267.31/41.53  |               hAPP_int_bool(v6, one_one_int) = v7 & hAPP_int_bool(v2, v0) = v3
% 267.31/41.53  |               & hBOOL(v7) = v8 & hBOOL(v3) = v4 & fun_int_bool(v6) & int(v5) &
% 267.31/41.53  |               bool(v7) & bool(v3) & ( ~ (v4 = 0) | v8 = 0))) &  ! [v1: int] : 
% 267.31/41.53  |           ! [v2: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int,
% 267.31/41.53  |                 v1) = v2) |  ~ int(v1) |  ? [v3: int] :  ? [v4: fun_int_bool]
% 267.31/41.53  |             :  ? [v5: bool] :  ? [v6: any] :  ? [v7: bool] :  ? [v8: any] :
% 267.31/41.53  |             (number_number_of_int(v1) = v3 &
% 267.31/41.53  |               hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4 &
% 267.31/41.53  |               hAPP_int_bool(v4, one_one_int) = v5 & hAPP_int_bool(v2, v0) = v7
% 267.31/41.53  |               & hBOOL(v7) = v8 & hBOOL(v5) = v6 & fun_int_bool(v4) & int(v3) &
% 267.31/41.53  |               bool(v7) & bool(v5) & ( ~ (v6 = 0) | v8 = 0))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_532_semiring__1__add__number__of) implies:
% 267.31/41.53  |   (73)   ? [v0: fun_int_bool] :  ? [v1: fun_int_int] :
% 267.31/41.53  |         (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 &
% 267.31/41.53  |           plus_plus_int(one_one_int) = v1 & fun_int_int(v1) & fun_int_bool(v0)
% 267.31/41.53  |           &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | 
% 267.31/41.53  |             ~ int(v2) |  ? [v4: any] :  ? [v5: int] :  ? [v6: int] :  ? [v7:
% 267.31/41.53  |               int] :  ? [v8: int] : (succ(v2) = v7 & number_number_of_int(v7)
% 267.31/41.53  |               = v8 & number_number_of_int(v2) = v5 & hAPP_int_int(v1, v5) = v6
% 267.31/41.53  |               & hBOOL(v3) = v4 & int(v8) & int(v7) & int(v6) & int(v5) & ( ~
% 267.31/41.53  |                 (v4 = 0) | v8 = v6))))
% 267.31/41.53  | 
% 267.31/41.53  | ALPHA: (fact_538_add__pos__nonneg) implies:
% 267.31/41.54  |   (74)   ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 267.31/41.54  |         (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 267.31/41.54  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 267.31/41.54  |           fun_int_bool(v1) & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: int] : 
% 267.31/41.54  |           ! [v4: bool] :  ! [v5: bool] : ( ~ (hAPP_int_bool(v1, v2) = v5) |  ~
% 267.31/41.54  |             (hAPP_int_bool(v0, v3) = v4) |  ~ int(v3) |  ~ int(v2) |  ? [v6:
% 267.31/41.54  |               any] :  ? [v7: any] :  ? [v8: fun_int_int] :  ? [v9: int] :  ?
% 267.31/41.54  |             [v10: bool] :  ? [v11: any] : (plus_plus_int(v3) = v8 &
% 267.31/41.54  |               hAPP_int_int(v8, v2) = v9 & hAPP_int_bool(v0, v9) = v10 &
% 267.31/41.54  |               hBOOL(v10) = v11 & hBOOL(v5) = v7 & hBOOL(v4) = v6 &
% 267.31/41.54  |               fun_int_int(v8) & int(v9) & bool(v10) & ( ~ (v7 = 0) |  ~ (v6 =
% 267.31/41.54  |                   0) | v11 = 0))))
% 267.31/41.54  | 
% 267.31/41.54  | ALPHA: (fact_541_add__nonneg__pos) implies:
% 267.31/41.54  |   (75)   ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 267.31/41.54  |         (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 267.31/41.54  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 267.31/41.54  |           fun_int_bool(v1) & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: int] : 
% 267.31/41.54  |           ! [v4: bool] :  ! [v5: bool] : ( ~ (hAPP_int_bool(v1, v2) = v5) |  ~
% 267.31/41.54  |             (hAPP_int_bool(v0, v3) = v4) |  ~ int(v3) |  ~ int(v2) |  ? [v6:
% 267.31/41.54  |               any] :  ? [v7: any] :  ? [v8: fun_int_int] :  ? [v9: int] :  ?
% 267.31/41.54  |             [v10: bool] :  ? [v11: any] : (plus_plus_int(v3) = v8 &
% 267.31/41.54  |               hAPP_int_int(v8, v2) = v9 & hAPP_int_bool(v1, v9) = v10 &
% 267.31/41.54  |               hBOOL(v10) = v11 & hBOOL(v5) = v7 & hBOOL(v4) = v6 &
% 267.31/41.54  |               fun_int_int(v8) & int(v9) & bool(v10) & ( ~ (v7 = 0) |  ~ (v6 =
% 267.31/41.54  |                   0) | v11 = 0))))
% 267.31/41.54  | 
% 267.31/41.54  | ALPHA: (fact_544_add__strict__increasing) implies:
% 267.31/41.54  |   (76)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 267.31/41.54  |             zero_zero_int) = v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2:
% 267.31/41.54  |             int] :  ! [v3: int] :  ! [v4: fun_int_bool] :  ! [v5: fun_int_int]
% 267.31/41.54  |           :  ! [v6: int] :  ! [v7: bool] : ( ~
% 267.31/41.54  |             (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) |  ~
% 267.31/41.54  |             (plus_plus_int(v3) = v5) |  ~ (hAPP_int_int(v5, v2) = v6) |  ~
% 267.31/41.54  |             (hAPP_int_bool(v4, v6) = v7) |  ~ int(v3) |  ~ int(v2) |  ~
% 267.31/41.54  |             int(v1) |  ? [v8: bool] :  ? [v9: any] :  ? [v10: fun_int_bool] : 
% 267.31/41.54  |             ? [v11: bool] :  ? [v12: any] :  ? [v13: any] :
% 267.31/41.54  |             (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v10 &
% 267.31/41.54  |               hAPP_int_bool(v10, v2) = v11 & hAPP_int_bool(v0, v3) = v8 &
% 267.31/41.54  |               hBOOL(v11) = v12 & hBOOL(v8) = v9 & hBOOL(v7) = v13 &
% 267.31/41.54  |               fun_int_bool(v10) & bool(v11) & bool(v8) & ( ~ (v12 = 0) |  ~
% 267.31/41.54  |                 (v9 = 0) | v13 = 0))))
% 267.31/41.54  | 
% 267.31/41.54  | ALPHA: (fact_547_add__strict__increasing2) implies:
% 267.55/41.54  |   (77)   ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 267.55/41.54  |             zero_zero_int) = v0 & fun_int_bool(v0) &  ! [v1: int] :  ! [v2:
% 267.55/41.54  |             int] :  ! [v3: int] :  ! [v4: fun_int_bool] :  ! [v5: fun_int_int]
% 267.55/41.54  |           :  ! [v6: int] :  ! [v7: bool] : ( ~
% 267.55/41.54  |             (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) |  ~
% 267.55/41.54  |             (plus_plus_int(v3) = v5) |  ~ (hAPP_int_int(v5, v2) = v6) |  ~
% 267.55/41.54  |             (hAPP_int_bool(v4, v6) = v7) |  ~ int(v3) |  ~ int(v2) |  ~
% 267.55/41.54  |             int(v1) |  ? [v8: bool] :  ? [v9: any] :  ? [v10: bool] :  ? [v11:
% 267.55/41.54  |               any] :  ? [v12: any] : (hAPP_int_bool(v4, v2) = v10 &
% 267.55/41.54  |               hAPP_int_bool(v0, v3) = v8 & hBOOL(v10) = v11 & hBOOL(v8) = v9 &
% 267.55/41.54  |               hBOOL(v7) = v12 & bool(v10) & bool(v8) & ( ~ (v11 = 0) |  ~ (v9
% 267.55/41.54  |                   = 0) | v12 = 0))))
% 267.55/41.54  | 
% 267.55/41.54  | ALPHA: (fact_559_rel__simps_I5_J) implies:
% 267.55/41.54  |   (78)   ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 267.55/41.54  |         (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 &
% 267.55/41.54  |           hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & fun_int_bool(v1) &
% 267.55/41.54  |           fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] : ( ~
% 267.55/41.54  |             (hAPP_int_bool(v1, v2) = v3) |  ~ int(v2) |  ? [v4: any] :  ? [v5:
% 267.55/41.54  |               int] :  ? [v6: bool] :  ? [v7: any] : (bit1(v2) = v5 &
% 267.55/41.54  |               hAPP_int_bool(v0, v5) = v6 & hBOOL(v6) = v7 & hBOOL(v3) = v4 &
% 267.55/41.54  |               int(v5) & bool(v6) & ( ~ (v4 = 0) | v7 = 0))) &  ! [v2: int] : 
% 267.55/41.54  |           ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) |  ~ int(v2) |  ?
% 267.55/41.54  |             [v4: int] :  ? [v5: bool] :  ? [v6: any] :  ? [v7: any] :
% 267.55/41.54  |             (bit1(v2) = v4 & hAPP_int_bool(v0, v4) = v5 & hBOOL(v5) = v6 &
% 267.55/41.54  |               hBOOL(v3) = v7 & int(v4) & bool(v5) & ( ~ (v6 = 0) | v7 = 0))))
% 267.55/41.54  | 
% 267.55/41.54  | ALPHA: (fact_565_int__one__le__iff__zero__less) implies:
% 267.55/41.54  |   (79)   ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :
% 267.55/41.54  |         (hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 &
% 267.55/41.54  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 267.55/41.54  |           fun_int_bool(v1) & fun_int_bool(v0) &  ! [v2: int] :  ! [v3: bool] :
% 267.55/41.54  |           ( ~ (hAPP_int_bool(v0, v2) = v3) |  ~ int(v2) |  ? [v4: any] :  ?
% 267.55/41.54  |             [v5: bool] :  ? [v6: any] : (hAPP_int_bool(v1, v2) = v5 &
% 267.55/41.54  |               hBOOL(v5) = v6 & hBOOL(v3) = v4 & bool(v5) & ( ~ (v4 = 0) | v6 =
% 267.55/41.54  |                 0))) &  ! [v2: int] :  ! [v3: bool] : ( ~ (hAPP_int_bool(v0,
% 267.55/41.54  |                 v2) = v3) |  ~ int(v2) |  ? [v4: bool] :  ? [v5: any] :  ?
% 267.55/41.54  |             [v6: any] : (hAPP_int_bool(v1, v2) = v4 & hBOOL(v4) = v5 &
% 267.55/41.54  |               hBOOL(v3) = v6 & bool(v4) & ( ~ (v5 = 0) | v6 = 0))))
% 267.55/41.54  | 
% 267.55/41.54  | ALPHA: (fact_567_succ__Pls) implies:
% 267.55/41.54  |   (80)   ? [v0: int] : (succ(pls) = v0 & bit1(pls) = v0 & int(v0))
% 267.55/41.54  | 
% 267.55/41.54  | ALPHA: (fact_580_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 267.55/41.54  |        implies:
% 267.55/41.54  |   (81)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: int] : 
% 267.55/41.54  |         ? [v4: bool] : (number_number_of_int(v2) = v3 & bit1(v1) = v2 &
% 267.55/41.54  |           bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 267.55/41.54  |             zero_zero_int) = v0 & hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0 &
% 267.55/41.54  |           fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & bool(v4))
% 267.55/41.54  | 
% 267.55/41.54  | ALPHA: (fact_581_le__imp__0__less) implies:
% 267.55/41.54  |   (82)   ? [v0: fun_int_bool] :  ? [v1: fun_int_bool] :  ? [v2: fun_int_int] :
% 267.55/41.54  |         (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 267.55/41.54  |           hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 267.55/41.54  |           plus_plus_int(one_one_int) = v2 & fun_int_int(v2) & fun_int_bool(v1)
% 267.55/41.54  |           & fun_int_bool(v0) &  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.55/41.54  |             (hAPP_int_bool(v0, v3) = v4) |  ~ int(v3) |  ? [v5: any] :  ? [v6:
% 267.55/41.54  |               int] :  ? [v7: bool] :  ? [v8: any] : (hAPP_int_int(v2, v3) = v6
% 267.55/41.54  |               & hAPP_int_bool(v1, v6) = v7 & hBOOL(v7) = v8 & hBOOL(v4) = v5 &
% 267.55/41.54  |               int(v6) & bool(v7) & ( ~ (v5 = 0) | v8 = 0))))
% 267.55/41.54  | 
% 267.55/41.54  | ALPHA: (fact_583_number__of__succ) implies:
% 267.55/41.54  |   (83)   ? [v0: fun_int_int] : (plus_plus_int(one_one_int) = v0 &
% 267.55/41.54  |           fun_int_int(v0) &  ! [v1: int] :  ! [v2: int] : ( ~ (succ(v1) = v2)
% 267.55/41.54  |             |  ~ int(v1) |  ? [v3: int] :  ? [v4: int] :
% 267.55/41.54  |             (number_number_of_int(v2) = v3 & number_number_of_int(v1) = v4 &
% 267.55/41.54  |               hAPP_int_int(v0, v4) = v3 & int(v4) & int(v3))))
% 267.55/41.54  | 
% 267.55/41.54  | ALPHA: (fact_588_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 267.55/41.54  |        implies:
% 267.55/41.55  |   (84)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: int] : 
% 267.55/41.55  |         ? [v4: bool] : (number_number_of_int(v2) = v3 & bit1(pls) = v1 &
% 267.55/41.55  |           bit0(v1) = v2 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 267.55/41.55  |             zero_zero_int) = v0 & hAPP_int_bool(v0, v3) = v4 & hBOOL(v4) = 0 &
% 267.55/41.55  |           fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & bool(v4))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_589_power2__ge__self) implies:
% 267.55/41.55  |   (85)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.55/41.55  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.55/41.55  |           int(v0) &  ! [v3: int] :  ! [v4: fun_int_bool] :  ! [v5:
% 267.55/41.55  |             fun_nat_int] :  ! [v6: int] :  ! [v7: bool] : ( ~
% 267.55/41.55  |             (power_power_int(v3) = v5) |  ~
% 267.55/41.55  |             (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) |  ~
% 267.55/41.55  |             (hAPP_nat_int(v5, v2) = v6) |  ~ (hAPP_int_bool(v4, v6) = v7) |  ~
% 267.55/41.55  |             int(v3) | hBOOL(v7) = 0))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_590_zero__le__power2) implies:
% 267.55/41.55  |   (86)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.55/41.55  |         (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 &
% 267.55/41.55  |           bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.55/41.55  |           fun_real_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: real] :  !
% 267.55/41.55  |           [v5: fun_nat_real] : ( ~ (power_power_real(v4) = v5) |  ~ real(v4) |
% 267.55/41.55  |              ? [v6: real] :  ? [v7: bool] : (hAPP_real_bool(v0, v6) = v7 &
% 267.55/41.55  |               hAPP_nat_real(v5, v3) = v6 & hBOOL(v7) = 0 & real(v6) &
% 267.55/41.55  |               bool(v7))))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_591_zero__le__power2) implies:
% 267.55/41.55  |   (87)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.55/41.55  |         (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.55/41.55  |           hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 267.55/41.55  |           fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  !
% 267.55/41.55  |           [v5: fun_nat_int] : ( ~ (power_power_int(v4) = v5) |  ~ int(v4) |  ?
% 267.55/41.55  |             [v6: int] :  ? [v7: bool] : (hAPP_nat_int(v5, v3) = v6 &
% 267.55/41.55  |               hAPP_int_bool(v0, v6) = v7 & hBOOL(v7) = 0 & int(v6) &
% 267.55/41.55  |               bool(v7))))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_592_power2__le__imp__le) implies:
% 267.55/41.55  |   (88)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_real_bool] :
% 267.55/41.55  |         (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v3 &
% 267.55/41.55  |           bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.55/41.55  |           fun_real_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: real] :  !
% 267.55/41.55  |           [v5: real] :  ! [v6: fun_nat_real] :  ! [v7: real] :  ! [v8:
% 267.55/41.55  |             fun_real_bool] :  ! [v9: fun_nat_real] :  ! [v10: real] :  ! [v11:
% 267.55/41.55  |             bool] : ( ~ (hAPP_r1134773055l_bool(ord_less_eq_real, v7) = v8) | 
% 267.55/41.55  |             ~ (hAPP_real_bool(v8, v10) = v11) |  ~ (power_power_real(v5) = v9)
% 267.55/41.55  |             |  ~ (power_power_real(v4) = v6) |  ~ (hAPP_nat_real(v9, v2) =
% 267.55/41.55  |               v10) |  ~ (hAPP_nat_real(v6, v2) = v7) |  ~ real(v5) |  ~
% 267.55/41.55  |             real(v4) |  ? [v12: any] :  ? [v13: bool] :  ? [v14: any] :  ?
% 267.55/41.55  |             [v15: fun_real_bool] :  ? [v16: bool] :  ? [v17: any] :
% 267.55/41.55  |             (hAPP_r1134773055l_bool(ord_less_eq_real, v4) = v15 &
% 267.55/41.55  |               hAPP_real_bool(v15, v5) = v16 & hAPP_real_bool(v3, v5) = v13 &
% 267.55/41.55  |               hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 267.55/41.55  |               fun_real_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~
% 267.55/41.55  |                 (v12 = 0) | v17 = 0))))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_593_power2__le__imp__le) implies:
% 267.55/41.55  |   (89)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_nat_bool] :
% 267.55/41.55  |         (hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = v3 &
% 267.55/41.55  |           bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.55/41.55  |           fun_nat_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: nat] :  !
% 267.55/41.55  |           [v5: nat] :  ! [v6: fun_nat_nat] :  ! [v7: nat] :  ! [v8:
% 267.55/41.55  |             fun_nat_bool] :  ! [v9: fun_nat_nat] :  ! [v10: nat] :  ! [v11:
% 267.55/41.55  |             bool] : ( ~ (hAPP_n1699378549t_bool(ord_less_eq_nat, v7) = v8) | 
% 267.55/41.55  |             ~ (hAPP_nat_bool(v8, v10) = v11) |  ~ (power_power_nat(v5) = v9) |
% 267.55/41.55  |              ~ (power_power_nat(v4) = v6) |  ~ (hAPP_nat_nat(v9, v2) = v10) | 
% 267.55/41.55  |             ~ (hAPP_nat_nat(v6, v2) = v7) |  ~ nat(v5) |  ~ nat(v4) |  ? [v12:
% 267.55/41.55  |               any] :  ? [v13: bool] :  ? [v14: any] :  ? [v15: fun_nat_bool] :
% 267.55/41.55  |              ? [v16: bool] :  ? [v17: any] :
% 267.55/41.55  |             (hAPP_n1699378549t_bool(ord_less_eq_nat, v4) = v15 &
% 267.55/41.55  |               hAPP_nat_bool(v15, v5) = v16 & hAPP_nat_bool(v3, v5) = v13 &
% 267.55/41.55  |               hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 267.55/41.55  |               fun_nat_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~
% 267.55/41.55  |                 (v12 = 0) | v17 = 0))))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_594_power2__le__imp__le) implies:
% 267.55/41.55  |   (90)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_int_bool] :
% 267.55/41.55  |         (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.55/41.55  |           hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v3 &
% 267.55/41.55  |           fun_int_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: int] :  !
% 267.55/41.55  |           [v5: int] :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8:
% 267.55/41.55  |             fun_int_bool] :  ! [v9: fun_nat_int] :  ! [v10: int] :  ! [v11:
% 267.55/41.55  |             bool] : ( ~ (power_power_int(v5) = v9) |  ~ (power_power_int(v4) =
% 267.55/41.55  |               v6) |  ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v7) = v8) |  ~
% 267.55/41.55  |             (hAPP_nat_int(v9, v2) = v10) |  ~ (hAPP_nat_int(v6, v2) = v7) |  ~
% 267.55/41.55  |             (hAPP_int_bool(v8, v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ?
% 267.55/41.55  |             [v12: any] :  ? [v13: bool] :  ? [v14: any] :  ? [v15:
% 267.55/41.55  |               fun_int_bool] :  ? [v16: bool] :  ? [v17: any] :
% 267.55/41.55  |             (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v15 &
% 267.55/41.55  |               hAPP_int_bool(v15, v5) = v16 & hAPP_int_bool(v3, v5) = v13 &
% 267.55/41.55  |               hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 267.55/41.55  |               fun_int_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~
% 267.55/41.55  |                 (v12 = 0) | v17 = 0))))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_595_power2__eq__imp__eq) implies:
% 267.55/41.55  |   (91)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_real_bool] :
% 267.55/41.55  |         (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v3 &
% 267.55/41.55  |           bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.55/41.55  |           fun_real_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: real] :  !
% 267.55/41.55  |           [v5: real] :  ! [v6: bool] :  ! [v7: bool] : (v5 = v4 |  ~
% 267.55/41.55  |             (hAPP_real_bool(v3, v5) = v7) |  ~ (hAPP_real_bool(v3, v4) = v6) |
% 267.55/41.55  |              ~ real(v5) |  ~ real(v4) |  ? [v8: fun_nat_real] :  ? [v9: real]
% 267.55/41.55  |             :  ? [v10: fun_nat_real] :  ? [v11: real] :  ? [v12: any] :  ?
% 267.55/41.55  |             [v13: any] : (power_power_real(v5) = v10 & power_power_real(v4) =
% 267.55/41.55  |               v8 & hAPP_nat_real(v10, v2) = v11 & hAPP_nat_real(v8, v2) = v9 &
% 267.55/41.55  |               hBOOL(v7) = v13 & hBOOL(v6) = v12 & fun_nat_real(v10) &
% 267.55/41.55  |               fun_nat_real(v8) & real(v11) & real(v9) & ( ~ (v13 = 0) |  ~
% 267.55/41.55  |                 (v12 = 0) |  ~ (v11 = v9)))))
% 267.55/41.55  | 
% 267.55/41.55  | ALPHA: (fact_596_power2__eq__imp__eq) implies:
% 267.55/41.56  |   (92)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_nat_bool] :
% 267.55/41.56  |         (hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = v3 &
% 267.55/41.56  |           bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.55/41.56  |           fun_nat_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: nat] :  !
% 267.55/41.56  |           [v5: nat] :  ! [v6: bool] :  ! [v7: bool] : (v5 = v4 |  ~
% 267.55/41.56  |             (hAPP_nat_bool(v3, v5) = v7) |  ~ (hAPP_nat_bool(v3, v4) = v6) | 
% 267.55/41.56  |             ~ nat(v5) |  ~ nat(v4) |  ? [v8: fun_nat_nat] :  ? [v9: nat] :  ?
% 267.55/41.56  |             [v10: fun_nat_nat] :  ? [v11: nat] :  ? [v12: any] :  ? [v13: any]
% 267.55/41.56  |             : (power_power_nat(v5) = v10 & power_power_nat(v4) = v8 &
% 267.55/41.56  |               hAPP_nat_nat(v10, v2) = v11 & hAPP_nat_nat(v8, v2) = v9 &
% 267.55/41.56  |               hBOOL(v7) = v13 & hBOOL(v6) = v12 & fun_nat_nat(v10) &
% 267.55/41.56  |               fun_nat_nat(v8) & nat(v11) & nat(v9) & ( ~ (v13 = 0) |  ~ (v12 =
% 267.55/41.56  |                   0) |  ~ (v11 = v9)))))
% 267.55/41.56  | 
% 267.55/41.56  | ALPHA: (fact_597_power2__eq__imp__eq) implies:
% 267.55/41.56  |   (93)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_int_bool] :
% 267.55/41.56  |         (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.55/41.56  |           hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v3 &
% 267.55/41.56  |           fun_int_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: int] :  !
% 267.55/41.56  |           [v5: int] :  ! [v6: bool] :  ! [v7: bool] : (v5 = v4 |  ~
% 267.55/41.56  |             (hAPP_int_bool(v3, v5) = v7) |  ~ (hAPP_int_bool(v3, v4) = v6) | 
% 267.55/41.56  |             ~ int(v5) |  ~ int(v4) |  ? [v8: fun_nat_int] :  ? [v9: int] :  ?
% 267.55/41.56  |             [v10: fun_nat_int] :  ? [v11: int] :  ? [v12: any] :  ? [v13: any]
% 267.55/41.56  |             : (power_power_int(v5) = v10 & power_power_int(v4) = v8 &
% 267.55/41.56  |               hAPP_nat_int(v10, v2) = v11 & hAPP_nat_int(v8, v2) = v9 &
% 267.55/41.56  |               hBOOL(v7) = v13 & hBOOL(v6) = v12 & fun_nat_int(v10) &
% 267.55/41.56  |               fun_nat_int(v8) & int(v11) & int(v9) & ( ~ (v13 = 0) |  ~ (v12 =
% 267.55/41.56  |                   0) |  ~ (v11 = v9)))))
% 267.55/41.56  | 
% 267.55/41.56  | ALPHA: (fact_600_power2__less__imp__less) implies:
% 267.63/41.56  |   (94)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_real_bool] :
% 267.63/41.56  |         (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v3 &
% 267.63/41.56  |           bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.63/41.56  |           fun_real_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: real] :  !
% 267.63/41.56  |           [v5: real] :  ! [v6: fun_nat_real] :  ! [v7: real] :  ! [v8:
% 267.63/41.56  |             fun_real_bool] :  ! [v9: fun_nat_real] :  ! [v10: real] :  ! [v11:
% 267.63/41.56  |             bool] : ( ~ (hAPP_r1134773055l_bool(ord_less_real, v7) = v8) |  ~
% 267.63/41.56  |             (hAPP_real_bool(v8, v10) = v11) |  ~ (power_power_real(v5) = v9) |
% 267.63/41.56  |              ~ (power_power_real(v4) = v6) |  ~ (hAPP_nat_real(v9, v2) = v10)
% 267.63/41.56  |             |  ~ (hAPP_nat_real(v6, v2) = v7) |  ~ real(v5) |  ~ real(v4) |  ?
% 267.63/41.56  |             [v12: any] :  ? [v13: bool] :  ? [v14: any] :  ? [v15:
% 267.63/41.56  |               fun_real_bool] :  ? [v16: bool] :  ? [v17: any] :
% 267.63/41.56  |             (hAPP_r1134773055l_bool(ord_less_real, v4) = v15 &
% 267.63/41.56  |               hAPP_real_bool(v15, v5) = v16 & hAPP_real_bool(v3, v5) = v13 &
% 267.63/41.56  |               hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 267.63/41.56  |               fun_real_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~
% 267.63/41.56  |                 (v12 = 0) | v17 = 0))))
% 267.63/41.56  | 
% 267.63/41.56  | ALPHA: (fact_601_power2__less__imp__less) implies:
% 267.63/41.56  |   (95)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_nat_bool] :
% 267.63/41.56  |         (hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = v3 &
% 267.63/41.56  |           bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.63/41.56  |           fun_nat_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: nat] :  !
% 267.63/41.56  |           [v5: nat] :  ! [v6: fun_nat_nat] :  ! [v7: nat] :  ! [v8:
% 267.63/41.56  |             fun_nat_bool] :  ! [v9: fun_nat_nat] :  ! [v10: nat] :  ! [v11:
% 267.63/41.56  |             bool] : ( ~ (hAPP_n1699378549t_bool(ord_less_nat, v7) = v8) |  ~
% 267.63/41.56  |             (hAPP_nat_bool(v8, v10) = v11) |  ~ (power_power_nat(v5) = v9) | 
% 267.63/41.56  |             ~ (power_power_nat(v4) = v6) |  ~ (hAPP_nat_nat(v9, v2) = v10) | 
% 267.63/41.56  |             ~ (hAPP_nat_nat(v6, v2) = v7) |  ~ nat(v5) |  ~ nat(v4) |  ? [v12:
% 267.63/41.56  |               any] :  ? [v13: bool] :  ? [v14: any] :  ? [v15: fun_nat_bool] :
% 267.63/41.56  |              ? [v16: bool] :  ? [v17: any] :
% 267.63/41.56  |             (hAPP_n1699378549t_bool(ord_less_nat, v4) = v15 &
% 267.63/41.56  |               hAPP_nat_bool(v15, v5) = v16 & hAPP_nat_bool(v3, v5) = v13 &
% 267.63/41.56  |               hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 267.63/41.56  |               fun_nat_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~
% 267.63/41.56  |                 (v12 = 0) | v17 = 0))))
% 267.63/41.56  | 
% 267.63/41.56  | ALPHA: (fact_602_power2__less__imp__less) implies:
% 267.63/41.56  |   (96)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: fun_int_bool] :
% 267.63/41.56  |         (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 267.63/41.56  |           hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v3 &
% 267.63/41.56  |           fun_int_bool(v3) & nat(v2) & int(v1) & int(v0) &  ! [v4: int] :  !
% 267.63/41.56  |           [v5: int] :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8:
% 267.63/41.56  |             fun_int_bool] :  ! [v9: fun_nat_int] :  ! [v10: int] :  ! [v11:
% 267.63/41.56  |             bool] : ( ~ (power_power_int(v5) = v9) |  ~ (power_power_int(v4) =
% 267.63/41.56  |               v6) |  ~ (hAPP_i1948725293t_bool(ord_less_int, v7) = v8) |  ~
% 267.63/41.56  |             (hAPP_nat_int(v9, v2) = v10) |  ~ (hAPP_nat_int(v6, v2) = v7) |  ~
% 267.63/41.56  |             (hAPP_int_bool(v8, v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ?
% 267.63/41.56  |             [v12: any] :  ? [v13: bool] :  ? [v14: any] :  ? [v15:
% 267.63/41.56  |               fun_int_bool] :  ? [v16: bool] :  ? [v17: any] :
% 267.63/41.56  |             (hAPP_i1948725293t_bool(ord_less_int, v4) = v15 &
% 267.63/41.56  |               hAPP_int_bool(v15, v5) = v16 & hAPP_int_bool(v3, v5) = v13 &
% 267.63/41.56  |               hBOOL(v16) = v17 & hBOOL(v13) = v14 & hBOOL(v11) = v12 &
% 267.63/41.56  |               fun_int_bool(v15) & bool(v16) & bool(v13) & ( ~ (v14 = 0) |  ~
% 267.63/41.56  |                 (v12 = 0) | v17 = 0))))
% 267.63/41.56  | 
% 267.63/41.56  | ALPHA: (fact_603_sum__power2__ge__zero) implies:
% 267.63/41.56  |   (97)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.63/41.56  |         (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 &
% 267.63/41.56  |           bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.63/41.56  |           fun_real_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: real] :  !
% 267.63/41.56  |           [v5: real] :  ! [v6: fun_nat_real] :  ! [v7: real] :  ! [v8:
% 267.63/41.56  |             fun_real_real] :  ! [v9: fun_nat_real] :  ! [v10: real] :  ! [v11:
% 267.63/41.56  |             real] : ( ~ (plus_plus_real(v7) = v8) |  ~ (power_power_real(v5) =
% 267.63/41.56  |               v9) |  ~ (power_power_real(v4) = v6) |  ~ (hAPP_nat_real(v9, v3)
% 267.63/41.56  |               = v10) |  ~ (hAPP_nat_real(v6, v3) = v7) |  ~
% 267.63/41.56  |             (hAPP_real_real(v8, v10) = v11) |  ~ real(v5) |  ~ real(v4) |  ?
% 267.63/41.56  |             [v12: bool] : (hAPP_real_bool(v0, v11) = v12 & hBOOL(v12) = 0 &
% 267.63/41.56  |               bool(v12))))
% 267.63/41.56  | 
% 267.63/41.56  | ALPHA: (fact_604_sum__power2__ge__zero) implies:
% 267.63/41.56  |   (98)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.63/41.56  |         (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.63/41.56  |           hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 267.63/41.56  |           fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: int] :  !
% 267.63/41.56  |           [v5: int] :  ! [v6: fun_nat_int] :  ! [v7: int] :  ! [v8:
% 267.63/41.56  |             fun_int_int] :  ! [v9: fun_nat_int] :  ! [v10: int] :  ! [v11:
% 267.63/41.56  |             int] : ( ~ (power_power_int(v5) = v9) |  ~ (power_power_int(v4) =
% 267.63/41.56  |               v6) |  ~ (plus_plus_int(v7) = v8) |  ~ (hAPP_nat_int(v9, v3) =
% 267.63/41.56  |               v10) |  ~ (hAPP_nat_int(v6, v3) = v7) |  ~ (hAPP_int_int(v8,
% 267.63/41.56  |                 v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ? [v12: bool] :
% 267.63/41.56  |             (hAPP_int_bool(v0, v11) = v12 & hBOOL(v12) = 0 & bool(v12))))
% 267.63/41.56  | 
% 267.63/41.56  | ALPHA: (fact_605_sum__power2__le__zero__iff) implies:
% 267.63/41.57  |   (99)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.63/41.57  |           bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.63/41.57  |           int(v0) &  ! [v3: real] :  ! [v4: real] :  ! [v5: fun_nat_real] :  !
% 267.63/41.57  |           [v6: real] :  ! [v7: fun_real_real] :  ! [v8: fun_nat_real] :  !
% 267.63/41.57  |           [v9: real] :  ! [v10: real] : ( ~ (plus_plus_real(v6) = v7) |  ~
% 267.63/41.57  |             (power_power_real(v4) = v8) |  ~ (power_power_real(v3) = v5) |  ~
% 267.63/41.57  |             (hAPP_nat_real(v8, v2) = v9) |  ~ (hAPP_nat_real(v5, v2) = v6) | 
% 267.63/41.57  |             ~ (hAPP_real_real(v7, v9) = v10) |  ~ real(v4) |  ~ real(v3) |  ?
% 267.63/41.57  |             [v11: fun_real_bool] :  ? [v12: bool] :  ? [v13: int] : ( ~ (v13 =
% 267.63/41.57  |                 0) & hAPP_r1134773055l_bool(ord_less_eq_real, v10) = v11 &
% 267.63/41.57  |               hAPP_real_bool(v11, zero_zero_real) = v12 & hBOOL(v12) = v13 &
% 267.63/41.57  |               fun_real_bool(v11) & bool(v12)) | (v4 = zero_zero_real & v3 =
% 267.63/41.57  |               zero_zero_real)) &  ! [v3: fun_nat_real] :  ! [v4: real] :  !
% 267.63/41.57  |           [v5: fun_real_real] :  ! [v6: real] : ( ~ (plus_plus_real(v4) = v5)
% 267.63/41.57  |             |  ~ (power_power_real(zero_zero_real) = v3) |  ~
% 267.63/41.57  |             (hAPP_nat_real(v3, v2) = v4) |  ~ (hAPP_real_real(v5, v4) = v6) | 
% 267.63/41.57  |             ? [v7: fun_real_bool] :  ? [v8: bool] :
% 267.63/41.57  |             (hAPP_r1134773055l_bool(ord_less_eq_real, v6) = v7 &
% 267.63/41.57  |               hAPP_real_bool(v7, zero_zero_real) = v8 & hBOOL(v8) = 0 &
% 267.63/41.57  |               fun_real_bool(v7) & bool(v8))))
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (fact_606_sum__power2__le__zero__iff) implies:
% 267.63/41.57  |   (100)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] : (bit1(pls) = v0 &
% 267.63/41.57  |            bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 267.63/41.57  |            int(v0) &  ! [v3: int] :  ! [v4: int] :  ! [v5: fun_nat_int] :  !
% 267.63/41.57  |            [v6: int] :  ! [v7: fun_int_int] :  ! [v8: fun_nat_int] :  ! [v9:
% 267.63/41.57  |              int] :  ! [v10: int] : ( ~ (power_power_int(v4) = v8) |  ~
% 267.63/41.57  |              (power_power_int(v3) = v5) |  ~ (plus_plus_int(v6) = v7) |  ~
% 267.63/41.57  |              (hAPP_nat_int(v8, v2) = v9) |  ~ (hAPP_nat_int(v5, v2) = v6) |  ~
% 267.63/41.57  |              (hAPP_int_int(v7, v9) = v10) |  ~ int(v4) |  ~ int(v3) |  ? [v11:
% 267.63/41.57  |                fun_int_bool] :  ? [v12: bool] :  ? [v13: int] : ( ~ (v13 = 0)
% 267.63/41.57  |                & hAPP_i1948725293t_bool(ord_less_eq_int, v10) = v11 &
% 267.63/41.57  |                hAPP_int_bool(v11, zero_zero_int) = v12 & hBOOL(v12) = v13 &
% 267.63/41.57  |                fun_int_bool(v11) & bool(v12)) | (v4 = zero_zero_int & v3 =
% 267.63/41.57  |                zero_zero_int)) &  ! [v3: fun_nat_int] :  ! [v4: int] :  ! [v5:
% 267.63/41.57  |              fun_int_int] :  ! [v6: int] : ( ~ (power_power_int(zero_zero_int)
% 267.63/41.57  |                = v3) |  ~ (plus_plus_int(v4) = v5) |  ~ (hAPP_nat_int(v3, v2)
% 267.63/41.57  |                = v4) |  ~ (hAPP_int_int(v5, v4) = v6) |  ? [v7: fun_int_bool]
% 267.63/41.57  |              :  ? [v8: bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, v6) =
% 267.63/41.57  |                v7 & hAPP_int_bool(v7, zero_zero_int) = v8 & hBOOL(v8) = 0 &
% 267.63/41.57  |                fun_int_bool(v7) & bool(v8))))
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (fact_607_int__pos__lt__two__imp__zero__or__one) implies:
% 267.63/41.57  |   (101)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: int] :
% 267.63/41.57  |          (number_number_of_int(v2) = v3 & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.63/41.57  |            hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 267.63/41.57  |            fun_int_bool(v0) & int(v3) & int(v2) & int(v1) &  ! [v4: int] :  !
% 267.63/41.57  |            [v5: bool] : (v4 = zero_zero_int | v4 = one_one_int |  ~
% 267.63/41.57  |              (hAPP_int_bool(v0, v4) = v5) |  ~ int(v4) |  ? [v6: any] :  ?
% 267.63/41.57  |              [v7: fun_int_bool] :  ? [v8: bool] :  ? [v9: any] :
% 267.63/41.57  |              (hAPP_i1948725293t_bool(ord_less_int, v4) = v7 &
% 267.63/41.57  |                hAPP_int_bool(v7, v3) = v8 & hBOOL(v8) = v9 & hBOOL(v5) = v6 &
% 267.63/41.57  |                fun_int_bool(v7) & bool(v8) & ( ~ (v9 = 0) |  ~ (v6 = 0)))))
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (fact_609_number__of2) implies:
% 267.63/41.57  |   (102)   ? [v0: fun_int_bool] :  ? [v1: int] :  ? [v2: bool] :
% 267.63/41.57  |          (number_number_of_int(pls) = v1 &
% 267.63/41.57  |            hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 267.63/41.57  |            hAPP_int_bool(v0, v1) = v2 & hBOOL(v2) = 0 & fun_int_bool(v0) &
% 267.63/41.57  |            int(v1) & bool(v2))
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (fact_642_two__realpow__ge__one) implies:
% 267.63/41.57  |   (103)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: real]
% 267.63/41.57  |          :  ? [v4: fun_nat_real] : (hAPP_r1134773055l_bool(ord_less_eq_real,
% 267.63/41.57  |              one_one_real) = v0 & number267125858f_real(v2) = v3 &
% 267.63/41.57  |            power_power_real(v3) = v4 & bit1(pls) = v1 & bit0(v1) = v2 &
% 267.63/41.57  |            fun_real_bool(v0) & fun_nat_real(v4) & real(v3) & int(v2) & int(v1)
% 267.63/41.57  |            &  ! [v5: nat] :  ! [v6: real] : ( ~ (hAPP_nat_real(v4, v5) = v6) |
% 267.63/41.57  |               ~ nat(v5) |  ? [v7: bool] : (hAPP_real_bool(v0, v6) = v7 &
% 267.63/41.57  |                hBOOL(v7) = 0 & bool(v7))))
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (fact_645_ex__least__nat__less) implies:
% 267.63/41.57  |   (104)  nat(one_one_nat)
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (fact_690_real__sqrt__sum__squares__ge__zero) implies:
% 267.63/41.57  |   (105)   ? [v0: fun_real_bool] :  ? [v1: int] :  ? [v2: int] :  ? [v3: nat] :
% 267.63/41.57  |          (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 &
% 267.63/41.57  |            bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 267.63/41.57  |            fun_real_bool(v0) & nat(v3) & int(v2) & int(v1) &  ! [v4: real] : 
% 267.63/41.57  |            ! [v5: real] :  ! [v6: fun_nat_real] :  ! [v7: real] :  ! [v8:
% 267.63/41.57  |              fun_real_real] :  ! [v9: fun_nat_real] :  ! [v10: real] :  !
% 267.63/41.57  |            [v11: real] : ( ~ (plus_plus_real(v7) = v8) |  ~
% 267.63/41.57  |              (power_power_real(v5) = v9) |  ~ (power_power_real(v4) = v6) |  ~
% 267.63/41.57  |              (hAPP_nat_real(v9, v3) = v10) |  ~ (hAPP_nat_real(v6, v3) = v7) |
% 267.63/41.57  |               ~ (hAPP_real_real(v8, v10) = v11) |  ~ real(v5) |  ~ real(v4) | 
% 267.63/41.57  |              ? [v12: real] :  ? [v13: bool] : (sqrt(v11) = v12 &
% 267.63/41.57  |                hAPP_real_bool(v0, v12) = v13 & hBOOL(v13) = 0 & real(v12) &
% 267.63/41.57  |                bool(v13))))
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (fact_691_zadd__power2) implies:
% 267.63/41.57  |   (106)   ? [v0: int] :  ? [v1: int] :  ? [v2: nat] :  ? [v3: int] :
% 267.63/41.57  |          (number_number_of_int(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 267.63/41.57  |            number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) &
% 267.63/41.57  |            int(v0) &  ! [v4: int] :  ! [v5: int] :  ! [v6: fun_nat_int] :  !
% 267.63/41.57  |            [v7: int] :  ! [v8: fun_int_int] :  ! [v9: int] :  ! [v10: int] : 
% 267.63/41.57  |            ! [v11: int] :  ! [v12: fun_int_int] :  ! [v13: fun_nat_int] :  !
% 267.63/41.57  |            [v14: int] :  ! [v15: int] : ( ~ (times_times_int(v9, v5) = v10) | 
% 267.63/41.57  |              ~ (times_times_int(v3, v4) = v9) |  ~ (power_power_int(v5) = v13)
% 267.63/41.57  |              |  ~ (power_power_int(v4) = v6) |  ~ (plus_plus_int(v11) = v12) |
% 267.63/41.57  |               ~ (plus_plus_int(v7) = v8) |  ~ (hAPP_nat_int(v13, v2) = v14) | 
% 267.63/41.57  |              ~ (hAPP_nat_int(v6, v2) = v7) |  ~ (hAPP_int_int(v12, v14) = v15)
% 267.63/41.57  |              |  ~ (hAPP_int_int(v8, v10) = v11) |  ~ int(v5) |  ~ int(v4) |  ?
% 267.63/41.57  |              [v16: fun_int_int] :  ? [v17: int] :  ? [v18: fun_nat_int] :
% 267.63/41.57  |              (power_power_int(v17) = v18 & plus_plus_int(v4) = v16 &
% 267.63/41.57  |                hAPP_nat_int(v18, v2) = v15 & hAPP_int_int(v16, v5) = v17 &
% 267.63/41.57  |                fun_nat_int(v18) & fun_int_int(v16) & int(v17) & int(v15))))
% 267.63/41.57  | 
% 267.63/41.57  | ALPHA: (conj_0) implies:
% 267.63/41.57  |   (107)  nat(n)
% 267.63/41.58  |   (108)   ? [v0: fun_int_int] :  ? [v1: int] :  ? [v2: int] :  ? [v3:
% 267.63/41.58  |            fun_nat_int] :  ? [v4: int] :  ? [v5: int] :  ? [v6: nat] :
% 267.63/41.58  |          (bit1(pls) = v4 & bit0(v4) = v5 & number_number_of_nat(v5) = v6 &
% 267.63/41.58  |            power_power_int(v2) = v3 & plus_plus_int(one_one_int) = v0 &
% 267.63/41.58  |            hAPP_nat_int(v3, v6) = zero_zero_int &
% 267.63/41.58  |            hAPP_nat_int(semiri1621563631at_int, n) = v1 & hAPP_int_int(v0, v1)
% 267.63/41.58  |            = v2 & fun_nat_int(v3) & fun_int_int(v0) & nat(v6) & int(v5) &
% 267.63/41.58  |            int(v4) & int(v2) & int(v1))
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (function-axioms) implies:
% 267.63/41.58  |   (109)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 267.63/41.58  |            bool] : (v1 = v0 |  ~ (hBOOL(v2) = v1) |  ~ (hBOOL(v2) = v0))
% 267.63/41.58  |   (110)   ! [v0: fun_int_int] :  ! [v1: fun_int_int] :  ! [v2: int] : (v1 = v0
% 267.63/41.58  |            |  ~ (plus_plus_int(v2) = v1) |  ~ (plus_plus_int(v2) = v0))
% 267.63/41.58  |   (111)   ! [v0: nat] :  ! [v1: nat] :  ! [v2: int] : (v1 = v0 |  ~
% 267.63/41.58  |            (number_number_of_nat(v2) = v1) |  ~ (number_number_of_nat(v2) =
% 267.63/41.58  |              v0))
% 267.63/41.58  |   (112)   ! [v0: int] :  ! [v1: int] :  ! [v2: int] : (v1 = v0 |  ~ (bit0(v2)
% 267.63/41.58  |              = v1) |  ~ (bit0(v2) = v0))
% 267.63/41.58  |   (113)   ! [v0: int] :  ! [v1: int] :  ! [v2: int] : (v1 = v0 |  ~ (bit1(v2)
% 267.63/41.58  |              = v1) |  ~ (bit1(v2) = v0))
% 267.63/41.58  |   (114)   ! [v0: int] :  ! [v1: int] :  ! [v2: int] : (v1 = v0 |  ~
% 267.63/41.58  |            (number_number_of_int(v2) = v1) |  ~ (number_number_of_int(v2) =
% 267.63/41.58  |              v0))
% 267.63/41.58  |   (115)   ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int] :
% 267.63/41.58  |          (v1 = v0 |  ~ (hAPP_int_int(v3, v2) = v1) |  ~ (hAPP_int_int(v3, v2)
% 267.63/41.58  |              = v0))
% 267.63/41.58  |   (116)   ! [v0: int] :  ! [v1: int] :  ! [v2: nat] :  ! [v3: fun_nat_int] :
% 267.63/41.58  |          (v1 = v0 |  ~ (hAPP_nat_int(v3, v2) = v1) |  ~ (hAPP_nat_int(v3, v2)
% 267.63/41.58  |              = v0))
% 267.63/41.58  |   (117)   ! [v0: fun_int_bool] :  ! [v1: fun_int_bool] :  ! [v2: int] :  !
% 267.63/41.58  |          [v3: fun_int_fun_int_bool] : (v1 = v0 |  ~
% 267.63/41.58  |            (hAPP_i1948725293t_bool(v3, v2) = v1) |  ~
% 267.63/41.58  |            (hAPP_i1948725293t_bool(v3, v2) = v0))
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (80) with fresh symbol all_463_0 gives:
% 267.63/41.58  |   (118)  succ(pls) = all_463_0 & bit1(pls) = all_463_0 & int(all_463_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (118) implies:
% 267.63/41.58  |   (119)  bit1(pls) = all_463_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (47) with fresh symbol all_465_0 gives:
% 267.63/41.58  |   (120)  bit1(pls) = all_465_0 & number_number_of_nat(all_465_0) = one_one_nat
% 267.63/41.58  |          & int(all_465_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (120) implies:
% 267.63/41.58  |   (121)  bit1(pls) = all_465_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (46) with fresh symbol all_467_0 gives:
% 267.63/41.58  |   (122)  number_number_of_int(all_467_0) = one_one_int & bit1(pls) = all_467_0
% 267.63/41.58  |          & int(all_467_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (122) implies:
% 267.63/41.58  |   (123)  bit1(pls) = all_467_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (46) with fresh symbol all_469_0 gives:
% 267.63/41.58  |   (124)  number_number_of_int(all_469_0) = one_one_int & bit1(pls) = all_469_0
% 267.63/41.58  |          & int(all_469_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (124) implies:
% 267.63/41.58  |   (125)  bit1(pls) = all_469_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (46) with fresh symbol all_471_0 gives:
% 267.63/41.58  |   (126)  number_number_of_int(all_471_0) = one_one_int & bit1(pls) = all_471_0
% 267.63/41.58  |          & int(all_471_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (126) implies:
% 267.63/41.58  |   (127)  bit1(pls) = all_471_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (47) with fresh symbol all_474_0 gives:
% 267.63/41.58  |   (128)  bit1(pls) = all_474_0 & number_number_of_nat(all_474_0) = one_one_nat
% 267.63/41.58  |          & int(all_474_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (128) implies:
% 267.63/41.58  |   (129)  bit1(pls) = all_474_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (46) with fresh symbol all_476_0 gives:
% 267.63/41.58  |   (130)  number_number_of_int(all_476_0) = one_one_int & bit1(pls) = all_476_0
% 267.63/41.58  |          & int(all_476_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (130) implies:
% 267.63/41.58  |   (131)  bit1(pls) = all_476_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (48) with fresh symbol all_478_0 gives:
% 267.63/41.58  |   (132)  number267125858f_real(all_478_0) = one_one_real & bit1(pls) =
% 267.63/41.58  |          all_478_0 & int(all_478_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (132) implies:
% 267.63/41.58  |   (133)  bit1(pls) = all_478_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (47) with fresh symbol all_480_0 gives:
% 267.63/41.58  |   (134)  bit1(pls) = all_480_0 & number_number_of_nat(all_480_0) = one_one_nat
% 267.63/41.58  |          & int(all_480_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (134) implies:
% 267.63/41.58  |   (135)  bit1(pls) = all_480_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (48) with fresh symbol all_482_0 gives:
% 267.63/41.58  |   (136)  number267125858f_real(all_482_0) = one_one_real & bit1(pls) =
% 267.63/41.58  |          all_482_0 & int(all_482_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (136) implies:
% 267.63/41.58  |   (137)  bit1(pls) = all_482_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (48) with fresh symbol all_484_0 gives:
% 267.63/41.58  |   (138)  number267125858f_real(all_484_0) = one_one_real & bit1(pls) =
% 267.63/41.58  |          all_484_0 & int(all_484_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (138) implies:
% 267.63/41.58  |   (139)  bit1(pls) = all_484_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (32) with fresh symbol all_488_0 gives:
% 267.63/41.58  |   (140)  number_number_of_int(pls) = all_488_0 & int(all_488_0) &  ! [v0: int]
% 267.63/41.58  |          :  ! [v1: fun_int_int] : ( ~ (plus_plus_int(v0) = v1) |  ~ int(v0) |
% 267.63/41.58  |            hAPP_int_int(v1, all_488_0) = v0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (140) implies:
% 267.63/41.58  |   (141)  int(all_488_0)
% 267.63/41.58  |   (142)  number_number_of_int(pls) = all_488_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (62) with fresh symbols all_549_0, all_549_1 gives:
% 267.63/41.58  |   (143)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_549_1 &
% 267.63/41.58  |          hAPP_int_bool(all_549_1, one_one_int) = all_549_0 & hBOOL(all_549_0)
% 267.63/41.58  |          = 0 & fun_int_bool(all_549_1) & bool(all_549_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (143) implies:
% 267.63/41.58  |   (144)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_549_1
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (62) with fresh symbols all_563_0, all_563_1 gives:
% 267.63/41.58  |   (145)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_563_1 &
% 267.63/41.58  |          hAPP_int_bool(all_563_1, one_one_int) = all_563_0 & hBOOL(all_563_0)
% 267.63/41.58  |          = 0 & fun_int_bool(all_563_1) & bool(all_563_0)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (145) implies:
% 267.63/41.58  |   (146)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_563_1
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (35) with fresh symbol all_574_0 gives:
% 267.63/41.58  |   (147)  plus_plus_int(one_one_int) = all_574_0 & fun_int_int(all_574_0) &  !
% 267.63/41.58  |          [v0: int] :  ! [v1: int] :  ! [v2: fun_int_int] : ( ~
% 267.63/41.58  |            (plus_plus_int(v1) = v2) |  ~ (hAPP_int_int(v2, v0) =
% 267.63/41.58  |              zero_zero_int) |  ~ (hAPP_int_int(all_574_0, v0) = v1) |  ~
% 267.63/41.58  |            int(v0))
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (147) implies:
% 267.63/41.58  |   (148)  plus_plus_int(one_one_int) = all_574_0
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (19) with fresh symbols all_577_0, all_577_1, all_577_2
% 267.63/41.58  |        gives:
% 267.63/41.58  |   (149)   ~ (all_577_0 = 0) & hAPP_i1948725293t_bool(ord_less_int, pls) =
% 267.63/41.58  |          all_577_2 & hAPP_int_bool(all_577_2, pls) = all_577_1 &
% 267.63/41.58  |          hBOOL(all_577_1) = all_577_0 & fun_int_bool(all_577_2) &
% 267.63/41.58  |          bool(all_577_1)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (149) implies:
% 267.63/41.58  |   (150)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_577_2
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (23) with fresh symbols all_591_0, all_591_1, all_591_2
% 267.63/41.58  |        gives:
% 267.63/41.58  |   (151)   ~ (all_591_0 = 0) & hAPP_i1948725293t_bool(ord_less_int, pls) =
% 267.63/41.58  |          all_591_2 & hAPP_int_bool(all_591_2, zero_zero_int) = all_591_1 &
% 267.63/41.58  |          hBOOL(all_591_1) = all_591_0 & fun_int_bool(all_591_2) &
% 267.63/41.58  |          bool(all_591_1)
% 267.63/41.58  | 
% 267.63/41.58  | ALPHA: (151) implies:
% 267.63/41.58  |   (152)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_591_2
% 267.63/41.58  | 
% 267.63/41.58  | DELTA: instantiating (31) with fresh symbols all_599_0, all_599_1 gives:
% 267.63/41.59  |   (153)  number_number_of_int(pls) = all_599_1 & plus_plus_int(all_599_1) =
% 267.63/41.59  |          all_599_0 & fun_int_int(all_599_0) & int(all_599_1) &  ! [v0: int] : 
% 267.63/41.59  |          ! [v1: int] : (v1 = v0 |  ~ (hAPP_int_int(all_599_0, v0) = v1) |  ~
% 267.63/41.59  |            int(v0))
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (153) implies:
% 267.63/41.59  |   (154)  number_number_of_int(pls) = all_599_1
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (102) with fresh symbols all_602_0, all_602_1, all_602_2
% 267.63/41.59  |        gives:
% 267.63/41.59  |   (155)  number_number_of_int(pls) = all_602_1 &
% 267.63/41.59  |          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_602_2 &
% 267.63/41.59  |          hAPP_int_bool(all_602_2, all_602_1) = all_602_0 & hBOOL(all_602_0) =
% 267.63/41.59  |          0 & fun_int_bool(all_602_2) & int(all_602_1) & bool(all_602_0)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (155) implies:
% 267.63/41.59  |   (156)  number_number_of_int(pls) = all_602_1
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (34) with fresh symbol all_637_0 gives:
% 267.63/41.59  |   (157)  plus_plus_int(one_one_int) = all_637_0 & fun_int_int(all_637_0) &  !
% 267.63/41.59  |          [v0: int] :  ! [v1: int] :  ! [v2: fun_int_int] :  ! [v3: int] : ( ~
% 267.63/41.59  |            (plus_plus_int(v1) = v2) |  ~ (hAPP_int_int(v2, v0) = v3) |  ~
% 267.63/41.59  |            (hAPP_int_int(all_637_0, v0) = v1) |  ~ int(v0) | (bit1(v0) = v3 &
% 267.63/41.59  |              int(v3)))
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (157) implies:
% 267.63/41.59  |   (158)  plus_plus_int(one_one_int) = all_637_0
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (83) with fresh symbol all_646_0 gives:
% 267.63/41.59  |   (159)  plus_plus_int(one_one_int) = all_646_0 & fun_int_int(all_646_0) &  !
% 267.63/41.59  |          [v0: int] :  ! [v1: int] : ( ~ (succ(v0) = v1) |  ~ int(v0) |  ? [v2:
% 267.63/41.59  |              int] :  ? [v3: int] : (number_number_of_int(v1) = v2 &
% 267.63/41.59  |              number_number_of_int(v0) = v3 & hAPP_int_int(all_646_0, v3) = v2
% 267.63/41.59  |              & int(v3) & int(v2)))
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (159) implies:
% 267.63/41.59  |   (160)  plus_plus_int(one_one_int) = all_646_0
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (16) with fresh symbols all_657_0, all_657_1, all_657_2,
% 267.63/41.59  |        all_657_3 gives:
% 267.63/41.59  |   (161)  number267125858f_real(all_657_0) = all_657_2 &
% 267.63/41.59  |          plus_plus_real(one_one_real) = all_657_3 & hAPP_real_real(all_657_3,
% 267.63/41.59  |            one_one_real) = all_657_2 & bit1(pls) = all_657_1 & bit0(all_657_1)
% 267.63/41.59  |          = all_657_0 & fun_real_real(all_657_3) & real(all_657_2) &
% 267.63/41.59  |          int(all_657_0) & int(all_657_1)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (161) implies:
% 267.63/41.59  |   (162)  bit0(all_657_1) = all_657_0
% 267.63/41.59  |   (163)  bit1(pls) = all_657_1
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (7) with fresh symbols all_662_0, all_662_1, all_662_2,
% 267.63/41.59  |        all_662_3 gives:
% 267.63/41.59  |   (164)  power_power_nat(zero_zero_nat) = all_662_3 & hAPP_nat_nat(all_662_3,
% 267.63/41.59  |            all_662_0) = zero_zero_nat & bit1(pls) = all_662_2 &
% 267.63/41.59  |          bit0(all_662_2) = all_662_1 & number_number_of_nat(all_662_1) =
% 267.63/41.59  |          all_662_0 & fun_nat_nat(all_662_3) & nat(all_662_0) & int(all_662_1)
% 267.63/41.59  |          & int(all_662_2)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (164) implies:
% 267.63/41.59  |   (165)  int(all_662_1)
% 267.63/41.59  |   (166)  number_number_of_nat(all_662_1) = all_662_0
% 267.63/41.59  |   (167)  bit0(all_662_2) = all_662_1
% 267.63/41.59  |   (168)  bit1(pls) = all_662_2
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (53) with fresh symbols all_667_0, all_667_1, all_667_2,
% 267.63/41.59  |        all_667_3 gives:
% 267.63/41.59  |   (169)  number_number_of_int(all_667_2) = all_667_1 & bit1(all_667_3) =
% 267.63/41.59  |          all_667_2 & bit1(pls) = all_667_3 & number_number_of_nat(all_667_2) =
% 267.63/41.59  |          all_667_0 & hAPP_nat_int(semiri1621563631at_int, all_667_0) =
% 267.63/41.59  |          all_667_1 & nat(all_667_0) & int(all_667_1) & int(all_667_2) &
% 267.63/41.59  |          int(all_667_3)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (169) implies:
% 267.63/41.59  |   (170)  bit1(pls) = all_667_3
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (18) with fresh symbols all_672_0, all_672_1, all_672_2,
% 267.63/41.59  |        all_672_3 gives:
% 267.63/41.59  |   (171)  plus_plus_nat(one_one_nat) = all_672_3 & hAPP_nat_nat(all_672_3,
% 267.63/41.59  |            one_one_nat) = all_672_2 & bit1(pls) = all_672_1 & bit0(all_672_1)
% 267.63/41.59  |          = all_672_0 & number_number_of_nat(all_672_0) = all_672_2 &
% 267.63/41.59  |          fun_nat_nat(all_672_3) & nat(all_672_2) & int(all_672_0) &
% 267.63/41.59  |          int(all_672_1)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (171) implies:
% 267.63/41.59  |   (172)  number_number_of_nat(all_672_0) = all_672_2
% 267.63/41.59  |   (173)  bit0(all_672_1) = all_672_0
% 267.63/41.59  |   (174)  bit1(pls) = all_672_1
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (6) with fresh symbols all_674_0, all_674_1, all_674_2,
% 267.63/41.59  |        all_674_3 gives:
% 267.63/41.59  |   (175)  bit1(pls) = all_674_2 & bit0(all_674_2) = all_674_1 &
% 267.63/41.59  |          number_number_of_nat(all_674_1) = all_674_0 &
% 267.63/41.59  |          power_power_int(zero_zero_int) = all_674_3 & hAPP_nat_int(all_674_3,
% 267.63/41.59  |            all_674_0) = zero_zero_int & fun_nat_int(all_674_3) &
% 267.63/41.59  |          nat(all_674_0) & int(all_674_1) & int(all_674_2)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (175) implies:
% 267.63/41.59  |   (176)  number_number_of_nat(all_674_1) = all_674_0
% 267.63/41.59  |   (177)  bit0(all_674_2) = all_674_1
% 267.63/41.59  |   (178)  bit1(pls) = all_674_2
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (16) with fresh symbols all_676_0, all_676_1, all_676_2,
% 267.63/41.59  |        all_676_3 gives:
% 267.63/41.59  |   (179)  number267125858f_real(all_676_0) = all_676_2 &
% 267.63/41.59  |          plus_plus_real(one_one_real) = all_676_3 & hAPP_real_real(all_676_3,
% 267.63/41.59  |            one_one_real) = all_676_2 & bit1(pls) = all_676_1 & bit0(all_676_1)
% 267.63/41.59  |          = all_676_0 & fun_real_real(all_676_3) & real(all_676_2) &
% 267.63/41.59  |          int(all_676_0) & int(all_676_1)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (179) implies:
% 267.63/41.59  |   (180)  bit0(all_676_1) = all_676_0
% 267.63/41.59  |   (181)  bit1(pls) = all_676_1
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (52) with fresh symbols all_681_0, all_681_1, all_681_2,
% 267.63/41.59  |        all_681_3 gives:
% 267.63/41.59  |   (182)  number_number_of_int(all_681_2) = all_681_1 & bit1(pls) = all_681_3 &
% 267.63/41.59  |          bit0(all_681_3) = all_681_2 & number_number_of_nat(all_681_2) =
% 267.63/41.59  |          all_681_0 & hAPP_nat_int(semiri1621563631at_int, all_681_0) =
% 267.63/41.59  |          all_681_1 & nat(all_681_0) & int(all_681_1) & int(all_681_2) &
% 267.63/41.59  |          int(all_681_3)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (182) implies:
% 267.63/41.59  |   (183)  number_number_of_nat(all_681_2) = all_681_0
% 267.63/41.59  |   (184)  bit0(all_681_3) = all_681_2
% 267.63/41.59  |   (185)  bit1(pls) = all_681_3
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (8) with fresh symbols all_683_0, all_683_1, all_683_2,
% 267.63/41.59  |        all_683_3 gives:
% 267.63/41.59  |   (186)  power_power_real(zero_zero_real) = all_683_3 &
% 267.63/41.59  |          hAPP_nat_real(all_683_3, all_683_0) = zero_zero_real & bit1(pls) =
% 267.63/41.59  |          all_683_2 & bit0(all_683_2) = all_683_1 &
% 267.63/41.59  |          number_number_of_nat(all_683_1) = all_683_0 & fun_nat_real(all_683_3)
% 267.63/41.59  |          & nat(all_683_0) & int(all_683_1) & int(all_683_2)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (186) implies:
% 267.63/41.59  |   (187)  number_number_of_nat(all_683_1) = all_683_0
% 267.63/41.59  |   (188)  bit0(all_683_2) = all_683_1
% 267.63/41.59  |   (189)  bit1(pls) = all_683_2
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (4) with fresh symbols all_685_0, all_685_1, all_685_2,
% 267.63/41.59  |        all_685_3 gives:
% 267.63/41.59  |   (190)  power_power_nat(one_one_nat) = all_685_3 & hAPP_nat_nat(all_685_3,
% 267.63/41.59  |            all_685_0) = one_one_nat & bit1(pls) = all_685_2 & bit0(all_685_2)
% 267.63/41.59  |          = all_685_1 & number_number_of_nat(all_685_1) = all_685_0 &
% 267.63/41.59  |          fun_nat_nat(all_685_3) & nat(all_685_0) & int(all_685_1) &
% 267.63/41.59  |          int(all_685_2)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (190) implies:
% 267.63/41.59  |   (191)  number_number_of_nat(all_685_1) = all_685_0
% 267.63/41.59  |   (192)  bit0(all_685_2) = all_685_1
% 267.63/41.59  |   (193)  bit1(pls) = all_685_2
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (15) with fresh symbols all_687_0, all_687_1, all_687_2,
% 267.63/41.59  |        all_687_3 gives:
% 267.63/41.59  |   (194)  number_number_of_int(all_687_0) = all_687_2 & bit1(pls) = all_687_1 &
% 267.63/41.59  |          bit0(all_687_1) = all_687_0 & plus_plus_int(one_one_int) = all_687_3
% 267.63/41.59  |          & hAPP_int_int(all_687_3, one_one_int) = all_687_2 &
% 267.63/41.59  |          fun_int_int(all_687_3) & int(all_687_0) & int(all_687_1) &
% 267.63/41.59  |          int(all_687_2)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (194) implies:
% 267.63/41.59  |   (195)  plus_plus_int(one_one_int) = all_687_3
% 267.63/41.59  |   (196)  bit0(all_687_1) = all_687_0
% 267.63/41.59  |   (197)  bit1(pls) = all_687_1
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (15) with fresh symbols all_689_0, all_689_1, all_689_2,
% 267.63/41.59  |        all_689_3 gives:
% 267.63/41.59  |   (198)  number_number_of_int(all_689_0) = all_689_2 & bit1(pls) = all_689_1 &
% 267.63/41.59  |          bit0(all_689_1) = all_689_0 & plus_plus_int(one_one_int) = all_689_3
% 267.63/41.59  |          & hAPP_int_int(all_689_3, one_one_int) = all_689_2 &
% 267.63/41.59  |          fun_int_int(all_689_3) & int(all_689_0) & int(all_689_1) &
% 267.63/41.59  |          int(all_689_2)
% 267.63/41.59  | 
% 267.63/41.59  | ALPHA: (198) implies:
% 267.63/41.59  |   (199)  plus_plus_int(one_one_int) = all_689_3
% 267.63/41.59  |   (200)  bit0(all_689_1) = all_689_0
% 267.63/41.59  |   (201)  bit1(pls) = all_689_1
% 267.63/41.59  | 
% 267.63/41.59  | DELTA: instantiating (56) with fresh symbols all_691_0, all_691_1, all_691_2,
% 267.63/41.60  |        all_691_3 gives:
% 267.63/41.60  |   (202)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_691_3 &
% 267.63/41.60  |          plus_plus_int(one_one_int) = all_691_2 & hAPP_int_int(all_691_2,
% 267.63/41.60  |            one_one_int) = all_691_1 & hAPP_int_bool(all_691_3, all_691_1) =
% 267.63/41.60  |          all_691_0 & hBOOL(all_691_0) = 0 & fun_int_int(all_691_2) &
% 267.63/41.60  |          fun_int_bool(all_691_3) & int(all_691_1) & bool(all_691_0)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (202) implies:
% 267.63/41.60  |   (203)  plus_plus_int(one_one_int) = all_691_2
% 267.63/41.60  |   (204)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_691_3
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (18) with fresh symbols all_695_0, all_695_1, all_695_2,
% 267.63/41.60  |        all_695_3 gives:
% 267.63/41.60  |   (205)  plus_plus_nat(one_one_nat) = all_695_3 & hAPP_nat_nat(all_695_3,
% 267.63/41.60  |            one_one_nat) = all_695_2 & bit1(pls) = all_695_1 & bit0(all_695_1)
% 267.63/41.60  |          = all_695_0 & number_number_of_nat(all_695_0) = all_695_2 &
% 267.63/41.60  |          fun_nat_nat(all_695_3) & nat(all_695_2) & int(all_695_0) &
% 267.63/41.60  |          int(all_695_1)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (205) implies:
% 267.63/41.60  |   (206)  bit0(all_695_1) = all_695_0
% 267.63/41.60  |   (207)  bit1(pls) = all_695_1
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (3) with fresh symbols all_697_0, all_697_1, all_697_2,
% 267.63/41.60  |        all_697_3 gives:
% 267.63/41.60  |   (208)  bit1(pls) = all_697_2 & bit0(all_697_2) = all_697_1 &
% 267.63/41.60  |          number_number_of_nat(all_697_1) = all_697_0 &
% 267.63/41.60  |          power_power_int(one_one_int) = all_697_3 & hAPP_nat_int(all_697_3,
% 267.63/41.60  |            all_697_0) = one_one_int & fun_nat_int(all_697_3) & nat(all_697_0)
% 267.63/41.60  |          & int(all_697_1) & int(all_697_2)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (208) implies:
% 267.63/41.60  |   (209)  number_number_of_nat(all_697_1) = all_697_0
% 267.63/41.60  |   (210)  bit0(all_697_2) = all_697_1
% 267.63/41.60  |   (211)  bit1(pls) = all_697_2
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (5) with fresh symbols all_699_0, all_699_1, all_699_2,
% 267.63/41.60  |        all_699_3 gives:
% 267.63/41.60  |   (212)  power_power_real(one_one_real) = all_699_3 & hAPP_nat_real(all_699_3,
% 267.63/41.60  |            all_699_0) = one_one_real & bit1(pls) = all_699_2 & bit0(all_699_2)
% 267.63/41.60  |          = all_699_1 & number_number_of_nat(all_699_1) = all_699_0 &
% 267.63/41.60  |          fun_nat_real(all_699_3) & nat(all_699_0) & int(all_699_1) &
% 267.63/41.60  |          int(all_699_2)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (212) implies:
% 267.63/41.60  |   (213)  number_number_of_nat(all_699_1) = all_699_0
% 267.63/41.60  |   (214)  bit0(all_699_2) = all_699_1
% 267.63/41.60  |   (215)  bit1(pls) = all_699_2
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (49) with fresh symbols all_701_0, all_701_1, all_701_2,
% 267.63/41.60  |        all_701_3, all_701_4 gives:
% 267.63/41.60  |   (216)  hAPP_i1948725293t_bool(ord_less_int, m1) = all_701_4 &
% 267.63/41.60  |          plus_plus_int(one_one_int) = all_701_3 &
% 267.63/41.60  |          hAPP_nat_int(semiri1621563631at_int, n) = all_701_2 &
% 267.63/41.60  |          hAPP_int_int(all_701_3, all_701_2) = all_701_1 &
% 267.63/41.60  |          hAPP_int_bool(all_701_4, all_701_1) = all_701_0 & hBOOL(all_701_0) =
% 267.63/41.60  |          0 & fun_int_int(all_701_3) & fun_int_bool(all_701_4) & int(all_701_1)
% 267.63/41.60  |          & int(all_701_2) & bool(all_701_0)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (216) implies:
% 267.63/41.60  |   (217)  hAPP_int_int(all_701_3, all_701_2) = all_701_1
% 267.63/41.60  |   (218)  hAPP_nat_int(semiri1621563631at_int, n) = all_701_2
% 267.63/41.60  |   (219)  plus_plus_int(one_one_int) = all_701_3
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (64) with fresh symbols all_703_0, all_703_1, all_703_2,
% 267.63/41.60  |        all_703_3, all_703_4 gives:
% 267.63/41.60  |   (220)  hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_703_4 &
% 267.63/41.60  |          hAPP_nat_bool(all_703_4, all_703_1) = all_703_0 & bit1(pls) =
% 267.63/41.60  |          all_703_3 & bit0(all_703_3) = all_703_2 &
% 267.63/41.60  |          number_number_of_nat(all_703_2) = all_703_1 & hBOOL(all_703_0) = 0 &
% 267.63/41.60  |          fun_nat_bool(all_703_4) & nat(all_703_1) & int(all_703_2) &
% 267.63/41.60  |          int(all_703_3) & bool(all_703_0)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (220) implies:
% 267.63/41.60  |   (221)  number_number_of_nat(all_703_2) = all_703_1
% 267.63/41.60  |   (222)  bit0(all_703_3) = all_703_2
% 267.63/41.60  |   (223)  bit1(pls) = all_703_3
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (45) with fresh symbol all_708_0 gives:
% 267.63/41.60  |   (224)  plus_plus_int(one_one_int) = all_708_0 & fun_int_int(all_708_0) &  !
% 267.63/41.60  |          [v0: int] :  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_int] :  !
% 267.63/41.60  |          [v4: int] : ( ~ (number_number_of_int(v0) = v1) |  ~
% 267.63/41.60  |            (plus_plus_int(v2) = v3) |  ~ (hAPP_int_int(v3, v1) = v4) |  ~
% 267.63/41.60  |            (hAPP_int_int(all_708_0, v1) = v2) |  ~ int(v0) |  ? [v5: int] :
% 267.63/41.60  |            (number_number_of_int(v5) = v4 & bit1(v0) = v5 & int(v5) &
% 267.63/41.60  |              int(v4)))
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (224) implies:
% 267.63/41.60  |   (225)  plus_plus_int(one_one_int) = all_708_0
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (1) with fresh symbols all_714_0, all_714_1, all_714_2,
% 267.63/41.60  |        all_714_3, all_714_4 gives:
% 267.63/41.60  |   (226)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_714_4 &
% 267.63/41.60  |          plus_plus_int(one_one_int) = all_714_3 &
% 267.63/41.60  |          hAPP_nat_int(semiri1621563631at_int, n) = all_714_2 &
% 267.63/41.60  |          hAPP_int_int(all_714_3, all_714_2) = all_714_1 &
% 267.63/41.60  |          hAPP_int_bool(all_714_4, all_714_1) = all_714_0 & hBOOL(all_714_0) =
% 267.63/41.60  |          0 & fun_int_int(all_714_3) & fun_int_bool(all_714_4) & int(all_714_1)
% 267.63/41.60  |          & int(all_714_2) & bool(all_714_0)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (226) implies:
% 267.63/41.60  |   (227)  int(all_714_1)
% 267.63/41.60  |   (228)  hBOOL(all_714_0) = 0
% 267.63/41.60  |   (229)  hAPP_int_bool(all_714_4, all_714_1) = all_714_0
% 267.63/41.60  |   (230)  hAPP_int_int(all_714_3, all_714_2) = all_714_1
% 267.63/41.60  |   (231)  hAPP_nat_int(semiri1621563631at_int, n) = all_714_2
% 267.63/41.60  |   (232)  plus_plus_int(one_one_int) = all_714_3
% 267.63/41.60  |   (233)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_714_4
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (84) with fresh symbols all_716_0, all_716_1, all_716_2,
% 267.63/41.60  |        all_716_3, all_716_4 gives:
% 267.63/41.60  |   (234)  number_number_of_int(all_716_2) = all_716_1 & bit1(pls) = all_716_3 &
% 267.63/41.60  |          bit0(all_716_3) = all_716_2 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 267.63/41.60  |            zero_zero_int) = all_716_4 & hAPP_int_bool(all_716_4, all_716_1) =
% 267.63/41.60  |          all_716_0 & hBOOL(all_716_0) = 0 & fun_int_bool(all_716_4) &
% 267.63/41.60  |          int(all_716_1) & int(all_716_2) & int(all_716_3) & bool(all_716_0)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (234) implies:
% 267.63/41.60  |   (235)  bit0(all_716_3) = all_716_2
% 267.63/41.60  |   (236)  bit1(pls) = all_716_3
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (81) with fresh symbols all_721_0, all_721_1, all_721_2,
% 267.63/41.60  |        all_721_3, all_721_4 gives:
% 267.63/41.60  |   (237)  number_number_of_int(all_721_2) = all_721_1 & bit1(all_721_3) =
% 267.63/41.60  |          all_721_2 & bit1(pls) = all_721_3 &
% 267.63/41.60  |          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_721_4 &
% 267.63/41.60  |          hAPP_int_bool(all_721_4, all_721_1) = all_721_0 & hBOOL(all_721_0) =
% 267.63/41.60  |          0 & fun_int_bool(all_721_4) & int(all_721_1) & int(all_721_2) &
% 267.63/41.60  |          int(all_721_3) & bool(all_721_0)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (237) implies:
% 267.63/41.60  |   (238)  bit1(pls) = all_721_3
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (85) with fresh symbols all_723_0, all_723_1, all_723_2
% 267.63/41.60  |        gives:
% 267.63/41.60  |   (239)  bit1(pls) = all_723_2 & bit0(all_723_2) = all_723_1 &
% 267.63/41.60  |          number_number_of_nat(all_723_1) = all_723_0 & nat(all_723_0) &
% 267.63/41.60  |          int(all_723_1) & int(all_723_2) &  ! [v0: int] :  ! [v1:
% 267.63/41.60  |            fun_int_bool] :  ! [v2: fun_nat_int] :  ! [v3: int] :  ! [v4: bool]
% 267.63/41.60  |          : ( ~ (power_power_int(v0) = v2) |  ~
% 267.63/41.60  |            (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v1) |  ~
% 267.63/41.60  |            (hAPP_nat_int(v2, all_723_0) = v3) |  ~ (hAPP_int_bool(v1, v3) =
% 267.63/41.60  |              v4) |  ~ int(v0) | hBOOL(v4) = 0)
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (239) implies:
% 267.63/41.60  |   (240)  number_number_of_nat(all_723_1) = all_723_0
% 267.63/41.60  |   (241)  bit0(all_723_2) = all_723_1
% 267.63/41.60  |   (242)  bit1(pls) = all_723_2
% 267.63/41.60  | 
% 267.63/41.60  | DELTA: instantiating (14) with fresh symbol all_729_0 gives:
% 267.63/41.60  |   (243)  bit1(pls) = all_729_0 & int(all_729_0) &  ! [v0: int] :  ! [v1: real]
% 267.63/41.60  |          : ( ~ (number267125858f_real(v0) = v1) |  ~ int(v0) |  ? [v2:
% 267.63/41.60  |              fun_real_real] :  ? [v3: real] :  ? [v4: fun_int_int] :  ? [v5:
% 267.63/41.60  |              int] : (number267125858f_real(v5) = v3 & plus_plus_real(v1) = v2
% 267.63/41.60  |              & hAPP_real_real(v2, one_one_real) = v3 & plus_plus_int(v0) = v4
% 267.63/41.60  |              & hAPP_int_int(v4, all_729_0) = v5 & fun_real_real(v2) &
% 267.63/41.60  |              fun_int_int(v4) & real(v3) & int(v5)))
% 267.63/41.60  | 
% 267.63/41.60  | ALPHA: (243) implies:
% 267.63/41.61  |   (244)  bit1(pls) = all_729_0
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (11) with fresh symbols all_732_0, all_732_1, all_732_2
% 267.63/41.61  |        gives:
% 267.63/41.61  |   (245)  bit1(pls) = all_732_1 & plus_plus_int(all_732_1) = all_732_0 &
% 267.63/41.61  |          plus_plus_int(one_one_int) = all_732_2 & fun_int_int(all_732_0) &
% 267.63/41.61  |          fun_int_int(all_732_2) & int(all_732_1) &  ! [v0: int] :  ! [v1: int]
% 267.63/41.61  |          : ( ~ (hAPP_int_int(all_732_0, v0) = v1) |  ~ int(v0) |  ? [v2: int]
% 267.63/41.61  |            :  ? [v3: int] : (number_number_of_int(v1) = v3 &
% 267.63/41.61  |              number_number_of_int(v0) = v2 & hAPP_int_int(all_732_2, v2) = v3
% 267.63/41.61  |              & int(v3) & int(v2)))
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (245) implies:
% 267.63/41.61  |   (246)  plus_plus_int(one_one_int) = all_732_2
% 267.63/41.61  |   (247)  bit1(pls) = all_732_1
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (65) with fresh symbols all_735_0, all_735_1 gives:
% 267.63/41.61  |   (248)  hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_735_0 &
% 267.63/41.61  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_735_1 &
% 267.63/41.61  |          fun_nat_bool(all_735_0) & fun_int_bool(all_735_1) &  ! [v0: int] :  !
% 267.63/41.61  |          [v1: bool] : ( ~ (hAPP_int_bool(all_735_1, v0) = v1) |  ~ int(v0) | 
% 267.63/41.61  |            ? [v2: nat] :  ? [v3: bool] : (hAPP_nat_bool(all_735_0, v2) = v3 &
% 267.63/41.61  |              hAPP_nat_int(semiri1621563631at_int, v2) = v0 & hBOOL(v3) = 0 &
% 267.63/41.61  |              nat(v2) & bool(v3)) |  ? [v2: int] : ( ~ (v2 = 0) & hBOOL(v1) =
% 267.63/41.61  |              v2))
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (248) implies:
% 267.63/41.61  |   (249)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_735_1
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (13) with fresh symbol all_738_0 gives:
% 267.63/41.61  |   (250)  bit1(pls) = all_738_0 & int(all_738_0) &  ! [v0: int] :  ! [v1: int]
% 267.63/41.61  |          : ( ~ (number_number_of_int(v0) = v1) |  ~ int(v0) |  ? [v2:
% 267.63/41.61  |              fun_int_int] :  ? [v3: int] :  ? [v4: fun_int_int] :  ? [v5: int]
% 267.63/41.61  |            : (number_number_of_int(v5) = v3 & plus_plus_int(v1) = v2 &
% 267.63/41.61  |              plus_plus_int(v0) = v4 & hAPP_int_int(v4, all_738_0) = v5 &
% 267.63/41.61  |              hAPP_int_int(v2, one_one_int) = v3 & fun_int_int(v4) &
% 267.63/41.61  |              fun_int_int(v2) & int(v5) & int(v3)))
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (250) implies:
% 267.63/41.61  |   (251)  bit1(pls) = all_738_0
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (12) with fresh symbols all_741_0, all_741_1, all_741_2
% 267.63/41.61  |        gives:
% 267.63/41.61  |   (252)  plus_plus_real(one_one_real) = all_741_2 & bit1(pls) = all_741_1 &
% 267.63/41.61  |          plus_plus_int(all_741_1) = all_741_0 & fun_real_real(all_741_2) &
% 267.63/41.61  |          fun_int_int(all_741_0) & int(all_741_1) &  ! [v0: int] :  ! [v1: int]
% 267.63/41.61  |          : ( ~ (hAPP_int_int(all_741_0, v0) = v1) |  ~ int(v0) |  ? [v2: real]
% 267.63/41.61  |            :  ? [v3: real] : (number267125858f_real(v1) = v3 &
% 267.63/41.61  |              number267125858f_real(v0) = v2 & hAPP_real_real(all_741_2, v2) =
% 267.63/41.61  |              v3 & real(v3) & real(v2)))
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (252) implies:
% 267.63/41.61  |   (253)  bit1(pls) = all_741_1
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (51) with fresh symbols all_753_0, all_753_1, all_753_2,
% 267.63/41.61  |        all_753_3 gives:
% 267.63/41.61  |   (254)  number267125858f_real(all_753_2) = all_753_1 &
% 267.63/41.61  |          power_power_real(all_753_1) = all_753_0 & bit1(pls) = all_753_3 &
% 267.63/41.61  |          bit0(all_753_3) = all_753_2 & fun_nat_real(all_753_0) &
% 267.63/41.61  |          real(all_753_1) & int(all_753_2) & int(all_753_3) &  ! [v0: nat] :  !
% 267.63/41.61  |          [v1: real] :  ! [v2: fun_real_bool] :  ! [v3: real] :  ! [v4: bool] :
% 267.63/41.61  |          ( ~ (hAPP_r1134773055l_bool(ord_less_real, v1) = v2) |  ~
% 267.63/41.61  |            (hAPP_real_bool(v2, v3) = v4) |  ~ (hAPP_nat_real(all_753_0, v0) =
% 267.63/41.61  |              v3) |  ~ (hAPP_nat_real(semiri132038758t_real, v0) = v1) |  ~
% 267.63/41.61  |            nat(v0) | hBOOL(v4) = 0)
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (254) implies:
% 267.63/41.61  |   (255)  bit0(all_753_3) = all_753_2
% 267.63/41.61  |   (256)  bit1(pls) = all_753_3
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (50) with fresh symbols all_759_0, all_759_1, all_759_2,
% 267.63/41.61  |        all_759_3 gives:
% 267.63/41.61  |   (257)  number_number_of_int(all_759_2) = all_759_1 & bit1(pls) = all_759_3 &
% 267.63/41.61  |          bit0(all_759_3) = all_759_2 & power_power_int(all_759_1) = all_759_0
% 267.63/41.61  |          & fun_nat_int(all_759_0) & int(all_759_1) & int(all_759_2) &
% 267.63/41.61  |          int(all_759_3) &  ! [v0: nat] :  ! [v1: int] :  ! [v2: fun_int_bool]
% 267.63/41.61  |          :  ! [v3: int] :  ! [v4: bool] : ( ~
% 267.63/41.61  |            (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) |  ~
% 267.63/41.61  |            (hAPP_nat_int(all_759_0, v0) = v3) |  ~
% 267.63/41.61  |            (hAPP_nat_int(semiri1621563631at_int, v0) = v1) |  ~
% 267.63/41.61  |            (hAPP_int_bool(v2, v3) = v4) |  ~ nat(v0) | hBOOL(v4) = 0)
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (257) implies:
% 267.63/41.61  |   (258)  bit0(all_759_3) = all_759_2
% 267.63/41.61  |   (259)  bit1(pls) = all_759_3
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (63) with fresh symbol all_762_0 gives:
% 267.63/41.61  |   (260)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_762_0 &
% 267.63/41.61  |          fun_int_bool(all_762_0) &  ! [v0: nat] :  ! [v1: int] :  ! [v2:
% 267.63/41.61  |            fun_nat_int] :  ! [v3: int] : ( ~ (power_power_int(v1) = v2) |  ~
% 267.63/41.61  |            (hAPP_nat_int(v2, v0) = v3) |  ~ nat(v0) |  ~ int(v1) |  ? [v4:
% 267.63/41.61  |              bool] :  ? [v5: any] :  ? [v6: bool] :  ? [v7: any] :
% 267.63/41.61  |            (hAPP_int_bool(all_762_0, v3) = v6 & hAPP_int_bool(all_762_0, v1) =
% 267.63/41.61  |              v4 & hBOOL(v6) = v7 & hBOOL(v4) = v5 & bool(v6) & bool(v4) & ( ~
% 267.63/41.61  |                (v5 = 0) | v7 = 0)))
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (260) implies:
% 267.63/41.61  |   (261)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_762_0
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (9) with fresh symbols all_771_0, all_771_1, all_771_2
% 267.63/41.61  |        gives:
% 267.63/41.61  |   (262)  bit1(pls) = all_771_2 & bit0(all_771_2) = all_771_1 &
% 267.63/41.61  |          number_number_of_nat(all_771_1) = all_771_0 & nat(all_771_0) &
% 267.63/41.61  |          int(all_771_1) & int(all_771_2) &  ! [v0: int] :  ! [v1: fun_nat_int]
% 267.63/41.61  |          : (v0 = zero_zero_int |  ~ (power_power_int(v0) = v1) |  ~ int(v0) | 
% 267.63/41.61  |            ? [v2: int] : ( ~ (v2 = zero_zero_int) & hAPP_nat_int(v1,
% 267.63/41.61  |                all_771_0) = v2 & int(v2))) &  ! [v0: fun_nat_int] : ( ~
% 267.63/41.61  |            (power_power_int(zero_zero_int) = v0) | hAPP_nat_int(v0, all_771_0)
% 267.63/41.61  |            = zero_zero_int)
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (262) implies:
% 267.63/41.61  |   (263)  number_number_of_nat(all_771_1) = all_771_0
% 267.63/41.61  |   (264)  bit0(all_771_2) = all_771_1
% 267.63/41.61  |   (265)  bit1(pls) = all_771_2
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (10) with fresh symbols all_783_0, all_783_1, all_783_2
% 267.63/41.61  |        gives:
% 267.63/41.61  |   (266)  bit1(pls) = all_783_2 & bit0(all_783_2) = all_783_1 &
% 267.63/41.61  |          number_number_of_nat(all_783_1) = all_783_0 & nat(all_783_0) &
% 267.63/41.61  |          int(all_783_1) & int(all_783_2) &  ! [v0: real] :  ! [v1:
% 267.63/41.61  |            fun_nat_real] : (v0 = zero_zero_real |  ~ (power_power_real(v0) =
% 267.63/41.61  |              v1) |  ~ real(v0) |  ? [v2: real] : ( ~ (v2 = zero_zero_real) &
% 267.63/41.61  |              hAPP_nat_real(v1, all_783_0) = v2 & real(v2))) &  ! [v0:
% 267.63/41.61  |            fun_nat_real] : ( ~ (power_power_real(zero_zero_real) = v0) |
% 267.63/41.61  |            hAPP_nat_real(v0, all_783_0) = zero_zero_real)
% 267.63/41.61  | 
% 267.63/41.61  | ALPHA: (266) implies:
% 267.63/41.61  |   (267)  number_number_of_nat(all_783_1) = all_783_0
% 267.63/41.61  |   (268)  bit0(all_783_2) = all_783_1
% 267.63/41.61  |   (269)  bit1(pls) = all_783_2
% 267.63/41.61  | 
% 267.63/41.61  | DELTA: instantiating (103) with fresh symbols all_786_0, all_786_1, all_786_2,
% 267.63/41.61  |        all_786_3, all_786_4 gives:
% 267.63/41.62  |   (270)  hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = all_786_4 &
% 267.63/41.62  |          number267125858f_real(all_786_2) = all_786_1 &
% 267.63/41.62  |          power_power_real(all_786_1) = all_786_0 & bit1(pls) = all_786_3 &
% 267.63/41.62  |          bit0(all_786_3) = all_786_2 & fun_real_bool(all_786_4) &
% 267.63/41.62  |          fun_nat_real(all_786_0) & real(all_786_1) & int(all_786_2) &
% 267.63/41.62  |          int(all_786_3) &  ! [v0: nat] :  ! [v1: real] : ( ~
% 267.63/41.62  |            (hAPP_nat_real(all_786_0, v0) = v1) |  ~ nat(v0) |  ? [v2: bool] :
% 267.63/41.62  |            (hAPP_real_bool(all_786_4, v1) = v2 & hBOOL(v2) = 0 & bool(v2)))
% 267.63/41.62  | 
% 267.63/41.62  | ALPHA: (270) implies:
% 267.63/41.62  |   (271)  bit0(all_786_3) = all_786_2
% 267.63/41.62  |   (272)  bit1(pls) = all_786_3
% 267.63/41.62  | 
% 267.63/41.62  | DELTA: instantiating (86) with fresh symbols all_789_0, all_789_1, all_789_2,
% 267.63/41.62  |        all_789_3 gives:
% 267.89/41.62  |   (273)  hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = all_789_3
% 267.89/41.62  |          & bit1(pls) = all_789_2 & bit0(all_789_2) = all_789_1 &
% 267.89/41.62  |          number_number_of_nat(all_789_1) = all_789_0 &
% 267.89/41.62  |          fun_real_bool(all_789_3) & nat(all_789_0) & int(all_789_1) &
% 267.89/41.62  |          int(all_789_2) &  ! [v0: real] :  ! [v1: fun_nat_real] : ( ~
% 267.89/41.62  |            (power_power_real(v0) = v1) |  ~ real(v0) |  ? [v2: real] :  ? [v3:
% 267.89/41.62  |              bool] : (hAPP_real_bool(all_789_3, v2) = v3 & hAPP_nat_real(v1,
% 267.89/41.62  |                all_789_0) = v2 & hBOOL(v3) = 0 & real(v2) & bool(v3)))
% 267.89/41.62  | 
% 267.89/41.62  | ALPHA: (273) implies:
% 267.89/41.62  |   (274)  number_number_of_nat(all_789_1) = all_789_0
% 267.89/41.62  |   (275)  bit0(all_789_2) = all_789_1
% 267.89/41.62  |   (276)  bit1(pls) = all_789_2
% 267.89/41.62  | 
% 267.89/41.62  | DELTA: instantiating (87) with fresh symbols all_792_0, all_792_1, all_792_2,
% 267.89/41.62  |        all_792_3 gives:
% 267.89/41.62  |   (277)  bit1(pls) = all_792_2 & bit0(all_792_2) = all_792_1 &
% 267.89/41.62  |          number_number_of_nat(all_792_1) = all_792_0 &
% 267.89/41.62  |          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_792_3 &
% 267.89/41.62  |          fun_int_bool(all_792_3) & nat(all_792_0) & int(all_792_1) &
% 267.89/41.62  |          int(all_792_2) &  ! [v0: int] :  ! [v1: fun_nat_int] : ( ~
% 267.89/41.62  |            (power_power_int(v0) = v1) |  ~ int(v0) |  ? [v2: int] :  ? [v3:
% 267.89/41.62  |              bool] : (hAPP_nat_int(v1, all_792_0) = v2 &
% 267.89/41.62  |              hAPP_int_bool(all_792_3, v2) = v3 & hBOOL(v3) = 0 & int(v2) &
% 267.89/41.62  |              bool(v3)))
% 267.89/41.62  | 
% 267.89/41.62  | ALPHA: (277) implies:
% 267.89/41.62  |   (278)  number_number_of_nat(all_792_1) = all_792_0
% 267.89/41.62  |   (279)  bit0(all_792_2) = all_792_1
% 267.89/41.62  |   (280)  bit1(pls) = all_792_2
% 267.89/41.62  | 
% 267.89/41.62  | DELTA: instantiating (108) with fresh symbols all_795_0, all_795_1, all_795_2,
% 267.89/41.62  |        all_795_3, all_795_4, all_795_5, all_795_6 gives:
% 267.89/41.62  |   (281)  bit1(pls) = all_795_2 & bit0(all_795_2) = all_795_1 &
% 267.89/41.62  |          number_number_of_nat(all_795_1) = all_795_0 &
% 267.89/41.62  |          power_power_int(all_795_4) = all_795_3 & plus_plus_int(one_one_int) =
% 267.89/41.62  |          all_795_6 & hAPP_nat_int(all_795_3, all_795_0) = zero_zero_int &
% 267.89/41.62  |          hAPP_nat_int(semiri1621563631at_int, n) = all_795_5 &
% 267.89/41.62  |          hAPP_int_int(all_795_6, all_795_5) = all_795_4 &
% 267.89/41.62  |          fun_nat_int(all_795_3) & fun_int_int(all_795_6) & nat(all_795_0) &
% 267.89/41.62  |          int(all_795_1) & int(all_795_2) & int(all_795_4) & int(all_795_5)
% 267.89/41.62  | 
% 267.89/41.62  | ALPHA: (281) implies:
% 267.89/41.62  |   (282)  hAPP_int_int(all_795_6, all_795_5) = all_795_4
% 267.89/41.62  |   (283)  hAPP_nat_int(semiri1621563631at_int, n) = all_795_5
% 267.89/41.62  |   (284)  hAPP_nat_int(all_795_3, all_795_0) = zero_zero_int
% 267.89/41.62  |   (285)  plus_plus_int(one_one_int) = all_795_6
% 267.89/41.62  |   (286)  power_power_int(all_795_4) = all_795_3
% 267.89/41.62  |   (287)  number_number_of_nat(all_795_1) = all_795_0
% 267.89/41.62  |   (288)  bit0(all_795_2) = all_795_1
% 267.89/41.62  |   (289)  bit1(pls) = all_795_2
% 267.89/41.62  | 
% 267.89/41.62  | DELTA: instantiating (40) with fresh symbols all_803_0, all_803_1, all_803_2
% 267.89/41.62  |        gives:
% 267.89/41.62  |   (290)  bit1(pls) = all_803_2 & bit0(all_803_2) = all_803_1 &
% 267.89/41.62  |          number_number_of_nat(all_803_1) = all_803_0 & nat(all_803_0) &
% 267.89/41.62  |          int(all_803_1) & int(all_803_2) &  ! [v0: real] :  ! [v1:
% 267.89/41.62  |            fun_nat_real] : ( ~ (power_power_real(v0) = v1) |  ~ real(v0) |  ?
% 267.89/41.62  |            [v2: real] :  ? [v3: fun_real_bool] :  ? [v4: bool] :  ? [v5: int]
% 267.89/41.62  |            : ( ~ (v5 = 0) & hAPP_r1134773055l_bool(ord_less_real, v2) = v3 &
% 267.89/41.62  |              hAPP_real_bool(v3, zero_zero_real) = v4 & hAPP_nat_real(v1,
% 267.89/41.62  |                all_803_0) = v2 & hBOOL(v4) = v5 & fun_real_bool(v3) & real(v2)
% 267.89/41.62  |              & bool(v4)))
% 267.89/41.62  | 
% 267.89/41.62  | ALPHA: (290) implies:
% 267.89/41.62  |   (291)  number_number_of_nat(all_803_1) = all_803_0
% 267.89/41.62  |   (292)  bit0(all_803_2) = all_803_1
% 267.89/41.62  |   (293)  bit1(pls) = all_803_2
% 267.89/41.62  | 
% 267.89/41.62  | DELTA: instantiating (82) with fresh symbols all_806_0, all_806_1, all_806_2
% 267.89/41.62  |        gives:
% 267.89/41.62  |   (294)  hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_806_2 &
% 267.89/41.62  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_806_1 &
% 267.89/41.62  |          plus_plus_int(one_one_int) = all_806_0 & fun_int_int(all_806_0) &
% 267.89/41.62  |          fun_int_bool(all_806_1) & fun_int_bool(all_806_2) &  ! [v0: int] :  !
% 267.89/41.62  |          [v1: bool] : ( ~ (hAPP_int_bool(all_806_2, v0) = v1) |  ~ int(v0) | 
% 267.89/41.62  |            ? [v2: any] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :
% 267.89/41.62  |            (hAPP_int_int(all_806_0, v0) = v3 & hAPP_int_bool(all_806_1, v3) =
% 267.89/41.62  |              v4 & hBOOL(v4) = v5 & hBOOL(v1) = v2 & int(v3) & bool(v4) & ( ~
% 267.89/41.62  |                (v2 = 0) | v5 = 0)))
% 267.89/41.62  | 
% 267.89/41.62  | ALPHA: (294) implies:
% 267.89/41.62  |   (295)  plus_plus_int(one_one_int) = all_806_0
% 267.89/41.62  |   (296)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_806_1
% 267.89/41.62  | 
% 267.89/41.62  | DELTA: instantiating (39) with fresh symbols all_815_0, all_815_1, all_815_2
% 267.89/41.62  |        gives:
% 267.89/41.62  |   (297)  bit1(pls) = all_815_2 & bit0(all_815_2) = all_815_1 &
% 267.89/41.62  |          number_number_of_nat(all_815_1) = all_815_0 & nat(all_815_0) &
% 267.89/41.62  |          int(all_815_1) & int(all_815_2) &  ! [v0: int] :  ! [v1: fun_nat_int]
% 267.89/41.62  |          : ( ~ (power_power_int(v0) = v1) |  ~ int(v0) |  ? [v2: int] :  ?
% 267.89/41.62  |            [v3: fun_int_bool] :  ? [v4: bool] :  ? [v5: int] : ( ~ (v5 = 0) &
% 267.89/41.62  |              hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & hAPP_nat_int(v1,
% 267.89/41.62  |                all_815_0) = v2 & hAPP_int_bool(v3, zero_zero_int) = v4 &
% 267.89/41.62  |              hBOOL(v4) = v5 & fun_int_bool(v3) & int(v2) & bool(v4)))
% 267.89/41.62  | 
% 267.89/41.62  | ALPHA: (297) implies:
% 267.89/41.62  |   (298)  number_number_of_nat(all_815_1) = all_815_0
% 267.89/41.62  |   (299)  bit0(all_815_2) = all_815_1
% 267.89/41.62  |   (300)  bit1(pls) = all_815_2
% 267.89/41.62  | 
% 267.89/41.62  | DELTA: instantiating (73) with fresh symbols all_818_0, all_818_1 gives:
% 267.89/41.62  |   (301)  hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_818_1 &
% 267.89/41.62  |          plus_plus_int(one_one_int) = all_818_0 & fun_int_int(all_818_0) &
% 267.89/41.62  |          fun_int_bool(all_818_1) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 267.89/41.62  |            (hAPP_int_bool(all_818_1, v0) = v1) |  ~ int(v0) |  ? [v2: any] : 
% 267.89/41.62  |            ? [v3: int] :  ? [v4: int] :  ? [v5: int] :  ? [v6: int] :
% 267.89/41.62  |            (succ(v0) = v5 & number_number_of_int(v5) = v6 &
% 267.89/41.62  |              number_number_of_int(v0) = v3 & hAPP_int_int(all_818_0, v3) = v4
% 267.89/41.62  |              & hBOOL(v1) = v2 & int(v6) & int(v5) & int(v4) & int(v3) & ( ~
% 267.89/41.62  |                (v2 = 0) | v6 = v4)))
% 267.89/41.62  | 
% 267.89/41.62  | ALPHA: (301) implies:
% 267.89/41.62  |   (302)  plus_plus_int(one_one_int) = all_818_0
% 267.89/41.62  | 
% 267.89/41.62  | DELTA: instantiating (67) with fresh symbol all_836_0 gives:
% 267.89/41.63  |   (303)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_836_0 &
% 267.89/41.63  |          fun_int_bool(all_836_0) &  ! [v0: int] :  ! [v1: int] :  ! [v2: bool]
% 267.89/41.63  |          :  ! [v3: bool] : ( ~ (hAPP_int_bool(all_836_0, v1) = v2) |  ~
% 267.89/41.63  |            (hAPP_int_bool(all_836_0, v0) = v3) |  ~ int(v1) |  ~ int(v0) |  ?
% 267.89/41.63  |            [v4: any] :  ? [v5: any] :  ? [v6: fun_int_int] :  ? [v7: int] :  ?
% 267.89/41.63  |            [v8: bool] :  ? [v9: any] : (plus_plus_int(v1) = v6 &
% 267.89/41.63  |              hAPP_int_int(v6, v0) = v7 & hAPP_int_bool(all_836_0, v7) = v8 &
% 267.89/41.63  |              hBOOL(v8) = v9 & hBOOL(v3) = v5 & hBOOL(v2) = v4 &
% 267.89/41.63  |              fun_int_int(v6) & int(v7) & bool(v8) & ( ~ (v5 = 0) |  ~ (v4 = 0)
% 267.89/41.63  |                | v9 = 0)))
% 267.89/41.63  | 
% 267.89/41.63  | ALPHA: (303) implies:
% 267.89/41.63  |   (304)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_836_0
% 267.89/41.63  | 
% 267.89/41.63  | DELTA: instantiating (17) with fresh symbols all_866_0, all_866_1, all_866_2,
% 267.89/41.63  |        all_866_3, all_866_4 gives:
% 267.89/41.63  |   (305)  bit1(pls) = all_866_4 & bit0(all_866_3) = all_866_1 & bit0(all_866_4)
% 267.89/41.63  |          = all_866_3 & number_number_of_nat(all_866_1) = all_866_0 &
% 267.89/41.63  |          number_number_of_nat(all_866_3) = all_866_2 & nat(all_866_0) &
% 267.89/41.63  |          nat(all_866_2) & int(all_866_1) & int(all_866_3) & int(all_866_4) & 
% 267.89/41.63  |          ! [v0: int] :  ! [v1: fun_nat_int] : ( ~ (power_power_int(v0) = v1) |
% 267.89/41.63  |             ~ int(v0) |  ? [v2: int] :  ? [v3: fun_nat_int] :  ? [v4: int] :
% 267.89/41.63  |            (power_power_int(v2) = v3 & hAPP_nat_int(v3, all_866_2) = v4 &
% 267.89/41.63  |              hAPP_nat_int(v1, all_866_0) = v4 & hAPP_nat_int(v1, all_866_2) =
% 267.89/41.63  |              v2 & fun_nat_int(v3) & int(v4) & int(v2)))
% 267.89/41.63  | 
% 267.89/41.63  | ALPHA: (305) implies:
% 267.89/41.63  |   (306)  number_number_of_nat(all_866_3) = all_866_2
% 267.89/41.63  |   (307)  bit0(all_866_4) = all_866_3
% 267.89/41.63  |   (308)  bit1(pls) = all_866_4
% 267.89/41.63  | 
% 267.89/41.63  | DELTA: instantiating (98) with fresh symbols all_869_0, all_869_1, all_869_2,
% 267.89/41.63  |        all_869_3 gives:
% 267.89/41.63  |   (309)  bit1(pls) = all_869_2 & bit0(all_869_2) = all_869_1 &
% 267.89/41.63  |          number_number_of_nat(all_869_1) = all_869_0 &
% 267.89/41.63  |          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_869_3 &
% 267.89/41.63  |          fun_int_bool(all_869_3) & nat(all_869_0) & int(all_869_1) &
% 267.89/41.63  |          int(all_869_2) &  ! [v0: int] :  ! [v1: int] :  ! [v2: fun_nat_int] :
% 267.89/41.63  |           ! [v3: int] :  ! [v4: fun_int_int] :  ! [v5: fun_nat_int] :  ! [v6:
% 267.89/41.63  |            int] :  ! [v7: int] : ( ~ (power_power_int(v1) = v5) |  ~
% 267.89/41.63  |            (power_power_int(v0) = v2) |  ~ (plus_plus_int(v3) = v4) |  ~
% 267.89/41.63  |            (hAPP_nat_int(v5, all_869_0) = v6) |  ~ (hAPP_nat_int(v2,
% 267.89/41.63  |                all_869_0) = v3) |  ~ (hAPP_int_int(v4, v6) = v7) |  ~ int(v1)
% 267.89/41.63  |            |  ~ int(v0) |  ? [v8: bool] : (hAPP_int_bool(all_869_3, v7) = v8 &
% 267.89/41.63  |              hBOOL(v8) = 0 & bool(v8)))
% 267.89/41.63  | 
% 267.89/41.63  | ALPHA: (309) implies:
% 267.89/41.63  |   (310)  number_number_of_nat(all_869_1) = all_869_0
% 267.89/41.63  |   (311)  bit0(all_869_2) = all_869_1
% 267.89/41.63  |   (312)  bit1(pls) = all_869_2
% 267.89/41.63  | 
% 267.89/41.63  | DELTA: instantiating (97) with fresh symbols all_872_0, all_872_1, all_872_2,
% 267.89/41.63  |        all_872_3 gives:
% 267.89/41.63  |   (313)  hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = all_872_3
% 267.89/41.63  |          & bit1(pls) = all_872_2 & bit0(all_872_2) = all_872_1 &
% 267.89/41.63  |          number_number_of_nat(all_872_1) = all_872_0 &
% 267.89/41.63  |          fun_real_bool(all_872_3) & nat(all_872_0) & int(all_872_1) &
% 267.89/41.63  |          int(all_872_2) &  ! [v0: real] :  ! [v1: real] :  ! [v2:
% 267.89/41.63  |            fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_real] :  ! [v5:
% 267.89/41.63  |            fun_nat_real] :  ! [v6: real] :  ! [v7: real] : ( ~
% 267.89/41.63  |            (plus_plus_real(v3) = v4) |  ~ (power_power_real(v1) = v5) |  ~
% 267.89/41.63  |            (power_power_real(v0) = v2) |  ~ (hAPP_nat_real(v5, all_872_0) =
% 267.89/41.63  |              v6) |  ~ (hAPP_nat_real(v2, all_872_0) = v3) |  ~
% 267.89/41.63  |            (hAPP_real_real(v4, v6) = v7) |  ~ real(v1) |  ~ real(v0) |  ? [v8:
% 267.89/41.63  |              bool] : (hAPP_real_bool(all_872_3, v7) = v8 & hBOOL(v8) = 0 &
% 267.89/41.63  |              bool(v8)))
% 267.89/41.63  | 
% 267.89/41.63  | ALPHA: (313) implies:
% 267.89/41.63  |   (314)  number_number_of_nat(all_872_1) = all_872_0
% 267.89/41.63  |   (315)  bit0(all_872_2) = all_872_1
% 267.89/41.63  |   (316)  bit1(pls) = all_872_2
% 267.89/41.63  | 
% 267.89/41.63  | DELTA: instantiating (61) with fresh symbol all_878_0 gives:
% 267.89/41.63  |   (317)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_878_0 &
% 267.89/41.63  |          fun_int_bool(all_878_0) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int]
% 267.89/41.63  |          :  ! [v3: fun_int_bool] :  ! [v4: fun_int_int] :  ! [v5: int] :  !
% 267.89/41.63  |          [v6: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) |  ~
% 267.89/41.63  |            (plus_plus_int(v2) = v4) |  ~ (hAPP_int_int(v4, v1) = v5) |  ~
% 267.89/41.63  |            (hAPP_int_bool(v3, v5) = v6) |  ~ int(v2) |  ~ int(v1) |  ~ int(v0)
% 267.89/41.63  |            |  ? [v7: bool] :  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ?
% 267.89/41.63  |            [v11: any] : (hAPP_int_bool(v3, v1) = v9 & hAPP_int_bool(all_878_0,
% 267.89/41.63  |                v2) = v7 & hBOOL(v9) = v10 & hBOOL(v7) = v8 & hBOOL(v6) = v11 &
% 267.89/41.63  |              bool(v9) & bool(v7) & ( ~ (v10 = 0) |  ~ (v8 = 0) | v11 = 0)))
% 267.89/41.63  | 
% 267.89/41.63  | ALPHA: (317) implies:
% 267.89/41.63  |   (318)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_878_0
% 267.89/41.63  |   (319)   ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_bool] : 
% 267.89/41.63  |          ! [v4: fun_int_int] :  ! [v5: int] :  ! [v6: bool] : ( ~
% 267.89/41.63  |            (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) |  ~
% 267.89/41.63  |            (plus_plus_int(v2) = v4) |  ~ (hAPP_int_int(v4, v1) = v5) |  ~
% 267.89/41.63  |            (hAPP_int_bool(v3, v5) = v6) |  ~ int(v2) |  ~ int(v1) |  ~ int(v0)
% 267.89/41.63  |            |  ? [v7: bool] :  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ?
% 267.89/41.63  |            [v11: any] : (hAPP_int_bool(v3, v1) = v9 & hAPP_int_bool(all_878_0,
% 267.89/41.63  |                v2) = v7 & hBOOL(v9) = v10 & hBOOL(v7) = v8 & hBOOL(v6) = v11 &
% 267.89/41.63  |              bool(v9) & bool(v7) & ( ~ (v10 = 0) |  ~ (v8 = 0) | v11 = 0)))
% 267.89/41.63  | 
% 267.89/41.63  | DELTA: instantiating (77) with fresh symbol all_905_0 gives:
% 267.89/41.63  |   (320)  hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_905_0 &
% 267.89/41.63  |          fun_int_bool(all_905_0) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int]
% 267.89/41.63  |          :  ! [v3: fun_int_bool] :  ! [v4: fun_int_int] :  ! [v5: int] :  !
% 267.89/41.63  |          [v6: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) |  ~
% 267.89/41.63  |            (plus_plus_int(v2) = v4) |  ~ (hAPP_int_int(v4, v1) = v5) |  ~
% 267.89/41.63  |            (hAPP_int_bool(v3, v5) = v6) |  ~ int(v2) |  ~ int(v1) |  ~ int(v0)
% 267.89/41.63  |            |  ? [v7: bool] :  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ?
% 267.89/41.63  |            [v11: any] : (hAPP_int_bool(v3, v1) = v9 & hAPP_int_bool(all_905_0,
% 267.89/41.63  |                v2) = v7 & hBOOL(v9) = v10 & hBOOL(v7) = v8 & hBOOL(v6) = v11 &
% 267.89/41.63  |              bool(v9) & bool(v7) & ( ~ (v10 = 0) |  ~ (v8 = 0) | v11 = 0)))
% 267.89/41.63  | 
% 267.89/41.63  | ALPHA: (320) implies:
% 267.89/41.63  |   (321)   ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_bool] : 
% 267.89/41.63  |          ! [v4: fun_int_int] :  ! [v5: int] :  ! [v6: bool] : ( ~
% 267.89/41.63  |            (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) |  ~
% 267.89/41.63  |            (plus_plus_int(v2) = v4) |  ~ (hAPP_int_int(v4, v1) = v5) |  ~
% 267.89/41.63  |            (hAPP_int_bool(v3, v5) = v6) |  ~ int(v2) |  ~ int(v1) |  ~ int(v0)
% 267.89/41.63  |            |  ? [v7: bool] :  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ?
% 267.89/41.63  |            [v11: any] : (hAPP_int_bool(v3, v1) = v9 & hAPP_int_bool(all_905_0,
% 267.89/41.63  |                v2) = v7 & hBOOL(v9) = v10 & hBOOL(v7) = v8 & hBOOL(v6) = v11 &
% 267.89/41.63  |              bool(v9) & bool(v7) & ( ~ (v10 = 0) |  ~ (v8 = 0) | v11 = 0)))
% 267.89/41.63  | 
% 267.89/41.63  | DELTA: instantiating (101) with fresh symbols all_911_0, all_911_1, all_911_2,
% 267.89/41.63  |        all_911_3 gives:
% 267.89/41.64  |   (322)  number_number_of_int(all_911_1) = all_911_0 & bit1(pls) = all_911_2 &
% 267.89/41.64  |          bit0(all_911_2) = all_911_1 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 267.89/41.64  |            zero_zero_int) = all_911_3 & fun_int_bool(all_911_3) &
% 267.89/41.64  |          int(all_911_0) & int(all_911_1) & int(all_911_2) &  ! [v0: int] :  !
% 267.89/41.64  |          [v1: bool] : (v0 = zero_zero_int | v0 = one_one_int |  ~
% 267.89/41.64  |            (hAPP_int_bool(all_911_3, v0) = v1) |  ~ int(v0) |  ? [v2: any] : 
% 267.89/41.64  |            ? [v3: fun_int_bool] :  ? [v4: bool] :  ? [v5: any] :
% 267.89/41.64  |            (hAPP_i1948725293t_bool(ord_less_int, v0) = v3 & hAPP_int_bool(v3,
% 267.89/41.64  |                all_911_0) = v4 & hBOOL(v4) = v5 & hBOOL(v1) = v2 &
% 267.89/41.64  |              fun_int_bool(v3) & bool(v4) & ( ~ (v5 = 0) |  ~ (v2 = 0))))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (322) implies:
% 267.89/41.64  |   (323)  bit0(all_911_2) = all_911_1
% 267.89/41.64  |   (324)  bit1(pls) = all_911_2
% 267.89/41.64  | 
% 267.89/41.64  | DELTA: instantiating (75) with fresh symbols all_929_0, all_929_1 gives:
% 267.89/41.64  |   (325)  hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_929_1 &
% 267.89/41.64  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_929_0 &
% 267.89/41.64  |          fun_int_bool(all_929_0) & fun_int_bool(all_929_1) &  ! [v0: int] :  !
% 267.89/41.64  |          [v1: int] :  ! [v2: bool] :  ! [v3: bool] : ( ~
% 267.89/41.64  |            (hAPP_int_bool(all_929_0, v0) = v3) |  ~ (hAPP_int_bool(all_929_1,
% 267.89/41.64  |                v1) = v2) |  ~ int(v1) |  ~ int(v0) |  ? [v4: any] :  ? [v5:
% 267.89/41.64  |              any] :  ? [v6: fun_int_int] :  ? [v7: int] :  ? [v8: bool] :  ?
% 267.89/41.64  |            [v9: any] : (plus_plus_int(v1) = v6 & hAPP_int_int(v6, v0) = v7 &
% 267.89/41.64  |              hAPP_int_bool(all_929_0, v7) = v8 & hBOOL(v8) = v9 & hBOOL(v3) =
% 267.89/41.64  |              v5 & hBOOL(v2) = v4 & fun_int_int(v6) & int(v7) & bool(v8) & ( ~
% 267.89/41.64  |                (v5 = 0) |  ~ (v4 = 0) | v9 = 0)))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (325) implies:
% 267.89/41.64  |   (326)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_929_0
% 267.89/41.64  | 
% 267.89/41.64  | DELTA: instantiating (79) with fresh symbols all_935_0, all_935_1 gives:
% 267.89/41.64  |   (327)  hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = all_935_1 &
% 267.89/41.64  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_935_0 &
% 267.89/41.64  |          fun_int_bool(all_935_0) & fun_int_bool(all_935_1) &  ! [v0: int] :  !
% 267.89/41.64  |          [v1: bool] : ( ~ (hAPP_int_bool(all_935_1, v0) = v1) |  ~ int(v0) | 
% 267.89/41.64  |            ? [v2: any] :  ? [v3: bool] :  ? [v4: any] :
% 267.89/41.64  |            (hAPP_int_bool(all_935_0, v0) = v3 & hBOOL(v3) = v4 & hBOOL(v1) =
% 267.89/41.64  |              v2 & bool(v3) & ( ~ (v2 = 0) | v4 = 0))) &  ! [v0: int] :  ! [v1:
% 267.89/41.64  |            bool] : ( ~ (hAPP_int_bool(all_935_1, v0) = v1) |  ~ int(v0) |  ?
% 267.89/41.64  |            [v2: bool] :  ? [v3: any] :  ? [v4: any] :
% 267.89/41.64  |            (hAPP_int_bool(all_935_0, v0) = v2 & hBOOL(v2) = v3 & hBOOL(v1) =
% 267.89/41.64  |              v4 & bool(v2) & ( ~ (v3 = 0) | v4 = 0)))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (327) implies:
% 267.89/41.64  |   (328)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_935_0
% 267.89/41.64  | 
% 267.89/41.64  | DELTA: instantiating (44) with fresh symbols all_944_0, all_944_1, all_944_2
% 267.89/41.64  |        gives:
% 267.89/41.64  |   (329)  bit1(pls) = all_944_2 & bit0(all_944_2) = all_944_1 &
% 267.89/41.64  |          number_number_of_nat(all_944_1) = all_944_0 & nat(all_944_0) &
% 267.89/41.64  |          int(all_944_1) & int(all_944_2) &  ! [v0: real] :  ! [v1: real] :  !
% 267.89/41.64  |          [v2: fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_real] :  ! [v5:
% 267.89/41.64  |            fun_nat_real] :  ! [v6: real] :  ! [v7: real] : ( ~
% 267.89/41.64  |            (plus_plus_real(v3) = v4) |  ~ (power_power_real(v1) = v5) |  ~
% 267.89/41.64  |            (power_power_real(v0) = v2) |  ~ (hAPP_nat_real(v5, all_944_0) =
% 267.89/41.64  |              v6) |  ~ (hAPP_nat_real(v2, all_944_0) = v3) |  ~
% 267.89/41.64  |            (hAPP_real_real(v4, v6) = v7) |  ~ real(v1) |  ~ real(v0) |  ? [v8:
% 267.89/41.64  |              fun_real_bool] :  ? [v9: bool] :  ? [v10: int] : ( ~ (v10 = 0) &
% 267.89/41.64  |              hAPP_r1134773055l_bool(ord_less_real, v7) = v8 &
% 267.89/41.64  |              hAPP_real_bool(v8, zero_zero_real) = v9 & hBOOL(v9) = v10 &
% 267.89/41.64  |              fun_real_bool(v8) & bool(v9)))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (329) implies:
% 267.89/41.64  |   (330)  number_number_of_nat(all_944_1) = all_944_0
% 267.89/41.64  |   (331)  bit0(all_944_2) = all_944_1
% 267.89/41.64  |   (332)  bit1(pls) = all_944_2
% 267.89/41.64  | 
% 267.89/41.64  | DELTA: instantiating (74) with fresh symbols all_947_0, all_947_1 gives:
% 267.89/41.64  |   (333)  hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_947_0 &
% 267.89/41.64  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_947_1 &
% 267.89/41.64  |          fun_int_bool(all_947_0) & fun_int_bool(all_947_1) &  ! [v0: int] :  !
% 267.89/41.64  |          [v1: int] :  ! [v2: bool] :  ! [v3: bool] : ( ~
% 267.89/41.64  |            (hAPP_int_bool(all_947_0, v0) = v3) |  ~ (hAPP_int_bool(all_947_1,
% 267.89/41.64  |                v1) = v2) |  ~ int(v1) |  ~ int(v0) |  ? [v4: any] :  ? [v5:
% 267.89/41.64  |              any] :  ? [v6: fun_int_int] :  ? [v7: int] :  ? [v8: bool] :  ?
% 267.89/41.64  |            [v9: any] : (plus_plus_int(v1) = v6 & hAPP_int_int(v6, v0) = v7 &
% 267.89/41.64  |              hAPP_int_bool(all_947_1, v7) = v8 & hBOOL(v8) = v9 & hBOOL(v3) =
% 267.89/41.64  |              v5 & hBOOL(v2) = v4 & fun_int_int(v6) & int(v7) & bool(v8) & ( ~
% 267.89/41.64  |                (v5 = 0) |  ~ (v4 = 0) | v9 = 0)))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (333) implies:
% 267.89/41.64  |   (334)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_947_1
% 267.89/41.64  | 
% 267.89/41.64  | DELTA: instantiating (43) with fresh symbols all_950_0, all_950_1, all_950_2
% 267.89/41.64  |        gives:
% 267.89/41.64  |   (335)  bit1(pls) = all_950_2 & bit0(all_950_2) = all_950_1 &
% 267.89/41.64  |          number_number_of_nat(all_950_1) = all_950_0 & nat(all_950_0) &
% 267.89/41.64  |          int(all_950_1) & int(all_950_2) &  ! [v0: int] :  ! [v1: int] :  !
% 267.89/41.64  |          [v2: fun_nat_int] :  ! [v3: int] :  ! [v4: fun_int_int] :  ! [v5:
% 267.89/41.64  |            fun_nat_int] :  ! [v6: int] :  ! [v7: int] : ( ~
% 267.89/41.64  |            (power_power_int(v1) = v5) |  ~ (power_power_int(v0) = v2) |  ~
% 267.89/41.64  |            (plus_plus_int(v3) = v4) |  ~ (hAPP_nat_int(v5, all_950_0) = v6) | 
% 267.89/41.64  |            ~ (hAPP_nat_int(v2, all_950_0) = v3) |  ~ (hAPP_int_int(v4, v6) =
% 267.89/41.64  |              v7) |  ~ int(v1) |  ~ int(v0) |  ? [v8: fun_int_bool] :  ? [v9:
% 267.89/41.64  |              bool] :  ? [v10: int] : ( ~ (v10 = 0) &
% 267.89/41.64  |              hAPP_i1948725293t_bool(ord_less_int, v7) = v8 & hAPP_int_bool(v8,
% 267.89/41.64  |                zero_zero_int) = v9 & hBOOL(v9) = v10 & fun_int_bool(v8) &
% 267.89/41.64  |              bool(v9)))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (335) implies:
% 267.89/41.64  |   (336)  number_number_of_nat(all_950_1) = all_950_0
% 267.89/41.64  |   (337)  bit0(all_950_2) = all_950_1
% 267.89/41.64  |   (338)  bit1(pls) = all_950_2
% 267.89/41.64  | 
% 267.89/41.64  | DELTA: instantiating (105) with fresh symbols all_959_0, all_959_1, all_959_2,
% 267.89/41.64  |        all_959_3 gives:
% 267.89/41.64  |   (339)  hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = all_959_3
% 267.89/41.64  |          & bit1(pls) = all_959_2 & bit0(all_959_2) = all_959_1 &
% 267.89/41.64  |          number_number_of_nat(all_959_1) = all_959_0 &
% 267.89/41.64  |          fun_real_bool(all_959_3) & nat(all_959_0) & int(all_959_1) &
% 267.89/41.64  |          int(all_959_2) &  ! [v0: real] :  ! [v1: real] :  ! [v2:
% 267.89/41.64  |            fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_real] :  ! [v5:
% 267.89/41.64  |            fun_nat_real] :  ! [v6: real] :  ! [v7: real] : ( ~
% 267.89/41.64  |            (plus_plus_real(v3) = v4) |  ~ (power_power_real(v1) = v5) |  ~
% 267.89/41.64  |            (power_power_real(v0) = v2) |  ~ (hAPP_nat_real(v5, all_959_0) =
% 267.89/41.64  |              v6) |  ~ (hAPP_nat_real(v2, all_959_0) = v3) |  ~
% 267.89/41.64  |            (hAPP_real_real(v4, v6) = v7) |  ~ real(v1) |  ~ real(v0) |  ? [v8:
% 267.89/41.64  |              real] :  ? [v9: bool] : (sqrt(v7) = v8 &
% 267.89/41.64  |              hAPP_real_bool(all_959_3, v8) = v9 & hBOOL(v9) = 0 & real(v8) &
% 267.89/41.64  |              bool(v9)))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (339) implies:
% 267.89/41.64  |   (340)  number_number_of_nat(all_959_1) = all_959_0
% 267.89/41.64  |   (341)  bit0(all_959_2) = all_959_1
% 267.89/41.64  |   (342)  bit1(pls) = all_959_2
% 267.89/41.64  | 
% 267.89/41.64  | DELTA: instantiating (54) with fresh symbols all_965_0, all_965_1, all_965_2
% 267.89/41.64  |        gives:
% 267.89/41.64  |   (343)  bit1(pls) = all_965_2 & bit0(all_965_2) = all_965_1 &
% 267.89/41.64  |          number_number_of_nat(all_965_1) = all_965_0 & nat(all_965_0) &
% 267.89/41.64  |          int(all_965_1) & int(all_965_2) &  ! [v0: real] :  ! [v1: real] :  !
% 267.89/41.64  |          [v2: fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_real] :  ! [v5:
% 267.89/41.64  |            fun_nat_real] :  ! [v6: real] : ( ~ (plus_plus_real(v3) = v4) |  ~
% 267.89/41.64  |            (power_power_real(v1) = v5) |  ~ (power_power_real(v0) = v2) |  ~
% 267.89/41.64  |            (hAPP_nat_real(v5, all_965_0) = v6) |  ~ (hAPP_nat_real(v2,
% 267.89/41.64  |                all_965_0) = v3) |  ~ (hAPP_real_real(v4, v6) = zero_zero_real)
% 267.89/41.64  |            |  ~ real(v1) |  ~ real(v0) | (v1 = zero_zero_real & v0 =
% 267.89/41.64  |              zero_zero_real)) &  ! [v0: fun_nat_real] :  ! [v1: real] :  !
% 267.89/41.64  |          [v2: fun_real_real] :  ! [v3: real] : (v3 = zero_zero_real |  ~
% 267.89/41.64  |            (plus_plus_real(v1) = v2) |  ~ (power_power_real(zero_zero_real) =
% 267.89/41.64  |              v0) |  ~ (hAPP_nat_real(v0, all_965_0) = v1) |  ~
% 267.89/41.64  |            (hAPP_real_real(v2, v1) = v3))
% 267.89/41.64  | 
% 267.89/41.64  | ALPHA: (343) implies:
% 267.89/41.64  |   (344)  number_number_of_nat(all_965_1) = all_965_0
% 267.89/41.65  |   (345)  bit0(all_965_2) = all_965_1
% 267.89/41.65  |   (346)  bit1(pls) = all_965_2
% 267.89/41.65  | 
% 267.89/41.65  | DELTA: instantiating (76) with fresh symbol all_968_0 gives:
% 267.89/41.65  |   (347)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_968_0 &
% 267.89/41.65  |          fun_int_bool(all_968_0) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int]
% 267.89/41.65  |          :  ! [v3: fun_int_bool] :  ! [v4: fun_int_int] :  ! [v5: int] :  !
% 267.89/41.65  |          [v6: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) |  ~
% 267.89/41.65  |            (plus_plus_int(v2) = v4) |  ~ (hAPP_int_int(v4, v1) = v5) |  ~
% 267.89/41.65  |            (hAPP_int_bool(v3, v5) = v6) |  ~ int(v2) |  ~ int(v1) |  ~ int(v0)
% 267.89/41.65  |            |  ? [v7: bool] :  ? [v8: any] :  ? [v9: fun_int_bool] :  ? [v10:
% 267.89/41.65  |              bool] :  ? [v11: any] :  ? [v12: any] :
% 267.89/41.65  |            (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v9 &
% 267.89/41.65  |              hAPP_int_bool(v9, v1) = v10 & hAPP_int_bool(all_968_0, v2) = v7 &
% 267.89/41.65  |              hBOOL(v10) = v11 & hBOOL(v7) = v8 & hBOOL(v6) = v12 &
% 267.89/41.65  |              fun_int_bool(v9) & bool(v10) & bool(v7) & ( ~ (v11 = 0) |  ~ (v8
% 267.89/41.65  |                  = 0) | v12 = 0)))
% 267.89/41.65  | 
% 267.89/41.65  | ALPHA: (347) implies:
% 267.89/41.65  |   (348)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_968_0
% 267.89/41.65  |   (349)   ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  ! [v3: fun_int_bool] : 
% 267.89/41.65  |          ! [v4: fun_int_int] :  ! [v5: int] :  ! [v6: bool] : ( ~
% 267.89/41.65  |            (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) |  ~
% 267.89/41.65  |            (plus_plus_int(v2) = v4) |  ~ (hAPP_int_int(v4, v1) = v5) |  ~
% 267.89/41.65  |            (hAPP_int_bool(v3, v5) = v6) |  ~ int(v2) |  ~ int(v1) |  ~ int(v0)
% 267.89/41.65  |            |  ? [v7: bool] :  ? [v8: any] :  ? [v9: fun_int_bool] :  ? [v10:
% 267.89/41.65  |              bool] :  ? [v11: any] :  ? [v12: any] :
% 267.89/41.65  |            (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v9 &
% 267.89/41.65  |              hAPP_int_bool(v9, v1) = v10 & hAPP_int_bool(all_968_0, v2) = v7 &
% 267.89/41.65  |              hBOOL(v10) = v11 & hBOOL(v7) = v8 & hBOOL(v6) = v12 &
% 267.89/41.65  |              fun_int_bool(v9) & bool(v10) & bool(v7) & ( ~ (v11 = 0) |  ~ (v8
% 267.89/41.65  |                  = 0) | v12 = 0)))
% 267.89/41.65  | 
% 267.89/41.65  | DELTA: instantiating (2) with fresh symbols all_971_0, all_971_1, all_971_2
% 267.89/41.65  |        gives:
% 267.89/41.65  |   (350)  bit1(pls) = all_971_2 & bit0(all_971_2) = all_971_1 &
% 267.89/41.65  |          number_number_of_nat(all_971_1) = all_971_0 & nat(all_971_0) &
% 267.89/41.65  |          int(all_971_1) & int(all_971_2) &  ! [v0: int] :  ! [v1: int] :  !
% 267.89/41.65  |          [v2: fun_nat_int] :  ! [v3: int] :  ! [v4: fun_int_int] :  ! [v5:
% 267.89/41.65  |            fun_nat_int] :  ! [v6: int] : ( ~ (power_power_int(v1) = v5) |  ~
% 267.89/41.65  |            (power_power_int(v0) = v2) |  ~ (plus_plus_int(v3) = v4) |  ~
% 267.89/41.65  |            (hAPP_nat_int(v5, all_971_0) = v6) |  ~ (hAPP_nat_int(v2,
% 267.89/41.65  |                all_971_0) = v3) |  ~ (hAPP_int_int(v4, v6) = zero_zero_int) | 
% 267.89/41.65  |            ~ int(v1) |  ~ int(v0) | (v1 = zero_zero_int & v0 = zero_zero_int))
% 267.89/41.65  |          &  ! [v0: fun_nat_int] :  ! [v1: int] :  ! [v2: fun_int_int] :  !
% 267.89/41.65  |          [v3: int] : (v3 = zero_zero_int |  ~ (power_power_int(zero_zero_int)
% 267.89/41.65  |              = v0) |  ~ (plus_plus_int(v1) = v2) |  ~ (hAPP_nat_int(v0,
% 267.89/41.65  |                all_971_0) = v1) |  ~ (hAPP_int_int(v2, v1) = v3))
% 267.89/41.65  | 
% 267.89/41.65  | ALPHA: (350) implies:
% 267.89/41.65  |   (351)  number_number_of_nat(all_971_1) = all_971_0
% 267.89/41.65  |   (352)  bit0(all_971_2) = all_971_1
% 267.89/41.65  |   (353)  bit1(pls) = all_971_2
% 267.89/41.65  | 
% 267.89/41.65  | DELTA: instantiating (54) with fresh symbols all_977_0, all_977_1, all_977_2
% 267.89/41.65  |        gives:
% 267.89/41.65  |   (354)  bit1(pls) = all_977_2 & bit0(all_977_2) = all_977_1 &
% 267.89/41.65  |          number_number_of_nat(all_977_1) = all_977_0 & nat(all_977_0) &
% 267.89/41.65  |          int(all_977_1) & int(all_977_2) &  ! [v0: real] :  ! [v1: real] :  !
% 267.89/41.65  |          [v2: fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_real] :  ! [v5:
% 267.89/41.65  |            fun_nat_real] :  ! [v6: real] : ( ~ (plus_plus_real(v3) = v4) |  ~
% 267.89/41.65  |            (power_power_real(v1) = v5) |  ~ (power_power_real(v0) = v2) |  ~
% 267.89/41.65  |            (hAPP_nat_real(v5, all_977_0) = v6) |  ~ (hAPP_nat_real(v2,
% 267.89/41.65  |                all_977_0) = v3) |  ~ (hAPP_real_real(v4, v6) = zero_zero_real)
% 267.89/41.65  |            |  ~ real(v1) |  ~ real(v0) | (v1 = zero_zero_real & v0 =
% 267.89/41.65  |              zero_zero_real)) &  ! [v0: fun_nat_real] :  ! [v1: real] :  !
% 267.89/41.65  |          [v2: fun_real_real] :  ! [v3: real] : (v3 = zero_zero_real |  ~
% 267.89/41.65  |            (plus_plus_real(v1) = v2) |  ~ (power_power_real(zero_zero_real) =
% 267.89/41.65  |              v0) |  ~ (hAPP_nat_real(v0, all_977_0) = v1) |  ~
% 267.89/41.65  |            (hAPP_real_real(v2, v1) = v3))
% 267.89/41.65  | 
% 267.89/41.65  | ALPHA: (354) implies:
% 267.89/41.65  |   (355)  number_number_of_nat(all_977_1) = all_977_0
% 267.89/41.65  |   (356)  bit0(all_977_2) = all_977_1
% 267.89/41.65  |   (357)  bit1(pls) = all_977_2
% 267.89/41.65  | 
% 267.89/41.65  | DELTA: instantiating (22) with fresh symbol all_989_0 gives:
% 267.89/41.65  |   (358)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_989_0 &
% 267.89/41.65  |          fun_int_bool(all_989_0) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 267.89/41.65  |            (hAPP_int_bool(all_989_0, v0) = v1) |  ~ int(v0) |  ? [v2: any] : 
% 267.89/41.65  |            ? [v3: int] :  ? [v4: bool] :  ? [v5: any] : (bit0(v0) = v3 &
% 267.89/41.65  |              hAPP_int_bool(all_989_0, v3) = v4 & hBOOL(v4) = v5 & hBOOL(v1) =
% 267.89/41.65  |              v2 & int(v3) & bool(v4) & ( ~ (v2 = 0) | v5 = 0))) &  ! [v0: int]
% 267.89/41.65  |          :  ! [v1: bool] : ( ~ (hAPP_int_bool(all_989_0, v0) = v1) |  ~
% 267.89/41.65  |            int(v0) |  ? [v2: int] :  ? [v3: bool] :  ? [v4: any] :  ? [v5:
% 267.89/41.65  |              any] : (bit0(v0) = v2 & hAPP_int_bool(all_989_0, v2) = v3 &
% 267.89/41.65  |              hBOOL(v3) = v4 & hBOOL(v1) = v5 & int(v2) & bool(v3) & ( ~ (v4 =
% 267.89/41.65  |                  0) | v5 = 0)))
% 267.89/41.65  | 
% 267.89/41.65  | ALPHA: (358) implies:
% 267.89/41.65  |   (359)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_989_0
% 267.89/41.65  | 
% 267.89/41.65  | DELTA: instantiating (37) with fresh symbols all_1064_0, all_1064_1,
% 267.89/41.65  |        all_1064_2, all_1064_3 gives:
% 267.89/41.65  |   (360)  bit1(pls) = all_1064_2 & bit0(all_1064_2) = all_1064_1 &
% 267.89/41.65  |          number_number_of_nat(all_1064_1) = all_1064_0 &
% 267.89/41.65  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1064_3 &
% 267.89/41.65  |          fun_int_bool(all_1064_3) & nat(all_1064_0) & int(all_1064_1) &
% 267.89/41.65  |          int(all_1064_2) &  ! [v0: int] :  ! [v1: fun_nat_int] : (v0 =
% 267.89/41.65  |            zero_zero_int |  ~ (power_power_int(v0) = v1) |  ~ int(v0) |  ?
% 267.89/41.65  |            [v2: int] :  ? [v3: bool] : (hAPP_nat_int(v1, all_1064_0) = v2 &
% 267.89/41.65  |              hAPP_int_bool(all_1064_3, v2) = v3 & hBOOL(v3) = 0 & int(v2) &
% 267.89/41.65  |              bool(v3))) &  ! [v0: fun_nat_int] : ( ~
% 267.89/41.65  |            (power_power_int(zero_zero_int) = v0) |  ? [v1: int] :  ? [v2:
% 267.89/41.65  |              bool] :  ? [v3: int] : ( ~ (v3 = 0) & hAPP_nat_int(v0,
% 267.89/41.65  |                all_1064_0) = v1 & hAPP_int_bool(all_1064_3, v1) = v2 &
% 267.89/41.65  |              hBOOL(v2) = v3 & int(v1) & bool(v2)))
% 267.89/41.65  | 
% 267.89/41.65  | ALPHA: (360) implies:
% 267.89/41.65  |   (361)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1064_3
% 267.89/41.65  |   (362)  number_number_of_nat(all_1064_1) = all_1064_0
% 267.89/41.65  |   (363)  bit0(all_1064_2) = all_1064_1
% 267.89/41.65  |   (364)  bit1(pls) = all_1064_2
% 267.89/41.65  | 
% 267.89/41.65  | DELTA: instantiating (38) with fresh symbols all_1067_0, all_1067_1,
% 267.89/41.65  |        all_1067_2, all_1067_3 gives:
% 267.89/41.65  |   (365)  hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = all_1067_3 &
% 267.89/41.65  |          bit1(pls) = all_1067_2 & bit0(all_1067_2) = all_1067_1 &
% 267.89/41.65  |          number_number_of_nat(all_1067_1) = all_1067_0 &
% 267.89/41.65  |          fun_real_bool(all_1067_3) & nat(all_1067_0) & int(all_1067_1) &
% 267.89/41.65  |          int(all_1067_2) &  ! [v0: real] :  ! [v1: fun_nat_real] : (v0 =
% 267.89/41.65  |            zero_zero_real |  ~ (power_power_real(v0) = v1) |  ~ real(v0) |  ?
% 267.89/41.65  |            [v2: real] :  ? [v3: bool] : (hAPP_real_bool(all_1067_3, v2) = v3 &
% 267.89/41.65  |              hAPP_nat_real(v1, all_1067_0) = v2 & hBOOL(v3) = 0 & real(v2) &
% 267.89/41.65  |              bool(v3))) &  ! [v0: fun_nat_real] : ( ~
% 267.89/41.65  |            (power_power_real(zero_zero_real) = v0) |  ? [v1: real] :  ? [v2:
% 267.89/41.65  |              bool] :  ? [v3: int] : ( ~ (v3 = 0) & hAPP_real_bool(all_1067_3,
% 267.89/41.65  |                v1) = v2 & hAPP_nat_real(v0, all_1067_0) = v1 & hBOOL(v2) = v3
% 267.89/41.65  |              & real(v1) & bool(v2)))
% 267.89/41.65  | 
% 267.89/41.65  | ALPHA: (365) implies:
% 267.89/41.66  |   (366)  number_number_of_nat(all_1067_1) = all_1067_0
% 267.89/41.66  |   (367)  bit0(all_1067_2) = all_1067_1
% 267.89/41.66  |   (368)  bit1(pls) = all_1067_2
% 267.89/41.66  | 
% 267.89/41.66  | DELTA: instantiating (20) with fresh symbols all_1076_0, all_1076_1 gives:
% 267.89/41.66  |   (369)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_1076_0 &
% 267.89/41.66  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1076_1 &
% 267.89/41.66  |          fun_int_bool(all_1076_0) & fun_int_bool(all_1076_1) &  ! [v0: int] : 
% 267.89/41.66  |          ! [v1: bool] : ( ~ (hAPP_int_bool(all_1076_0, v0) = v1) |  ~ int(v0)
% 267.89/41.66  |            |  ? [v2: any] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :
% 267.89/41.66  |            (number_number_of_int(v0) = v3 & hAPP_int_bool(all_1076_1, v3) = v4
% 267.89/41.66  |              & hBOOL(v4) = v5 & hBOOL(v1) = v2 & int(v3) & bool(v4) & ( ~ (v2
% 267.89/41.66  |                  = 0) | v5 = 0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 267.89/41.66  |            (hAPP_int_bool(all_1076_0, v0) = v1) |  ~ int(v0) |  ? [v2: int] : 
% 267.89/41.66  |            ? [v3: bool] :  ? [v4: any] :  ? [v5: any] :
% 267.89/41.66  |            (number_number_of_int(v0) = v2 & hAPP_int_bool(all_1076_1, v2) = v3
% 267.89/41.66  |              & hBOOL(v3) = v4 & hBOOL(v1) = v5 & int(v2) & bool(v3) & ( ~ (v4
% 267.89/41.66  |                  = 0) | v5 = 0)))
% 267.89/41.66  | 
% 267.89/41.66  | ALPHA: (369) implies:
% 267.89/41.66  |   (370)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1076_1
% 267.89/41.66  |   (371)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_1076_0
% 267.89/41.66  | 
% 267.89/41.66  | DELTA: instantiating (59) with fresh symbols all_1088_0, all_1088_1 gives:
% 268.07/41.66  |   (372)  hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1088_0 &
% 268.07/41.66  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1088_1 &
% 268.07/41.66  |          fun_nat_bool(all_1088_0) & fun_int_bool(all_1088_1) &  ! [v0: nat] : 
% 268.07/41.66  |          ! [v1: bool] : ( ~ (hAPP_nat_bool(all_1088_0, v0) = v1) |  ~ nat(v0)
% 268.07/41.66  |            |  ? [v2: any] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.66  |            (hAPP_nat_int(semiri1621563631at_int, v0) = v3 &
% 268.07/41.66  |              hAPP_int_bool(all_1088_1, v3) = v4 & hBOOL(v4) = v5 & hBOOL(v1) =
% 268.07/41.66  |              v2 & int(v3) & bool(v4) & ( ~ (v2 = 0) | v5 = 0))) &  ! [v0: nat]
% 268.07/41.66  |          :  ! [v1: bool] : ( ~ (hAPP_nat_bool(all_1088_0, v0) = v1) |  ~
% 268.07/41.66  |            nat(v0) |  ? [v2: int] :  ? [v3: bool] :  ? [v4: any] :  ? [v5:
% 268.07/41.66  |              any] : (hAPP_nat_int(semiri1621563631at_int, v0) = v2 &
% 268.07/41.66  |              hAPP_int_bool(all_1088_1, v2) = v3 & hBOOL(v3) = v4 & hBOOL(v1) =
% 268.07/41.66  |              v5 & int(v2) & bool(v3) & ( ~ (v4 = 0) | v5 = 0)))
% 268.07/41.66  | 
% 268.07/41.66  | ALPHA: (372) implies:
% 268.07/41.66  |   (373)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1088_1
% 268.07/41.66  | 
% 268.07/41.66  | DELTA: instantiating (59) with fresh symbols all_1091_0, all_1091_1 gives:
% 268.07/41.66  |   (374)  hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1091_0 &
% 268.07/41.66  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1091_1 &
% 268.07/41.66  |          fun_nat_bool(all_1091_0) & fun_int_bool(all_1091_1) &  ! [v0: nat] : 
% 268.07/41.66  |          ! [v1: bool] : ( ~ (hAPP_nat_bool(all_1091_0, v0) = v1) |  ~ nat(v0)
% 268.07/41.66  |            |  ? [v2: any] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.66  |            (hAPP_nat_int(semiri1621563631at_int, v0) = v3 &
% 268.07/41.66  |              hAPP_int_bool(all_1091_1, v3) = v4 & hBOOL(v4) = v5 & hBOOL(v1) =
% 268.07/41.66  |              v2 & int(v3) & bool(v4) & ( ~ (v2 = 0) | v5 = 0))) &  ! [v0: nat]
% 268.07/41.66  |          :  ! [v1: bool] : ( ~ (hAPP_nat_bool(all_1091_0, v0) = v1) |  ~
% 268.07/41.66  |            nat(v0) |  ? [v2: int] :  ? [v3: bool] :  ? [v4: any] :  ? [v5:
% 268.07/41.66  |              any] : (hAPP_nat_int(semiri1621563631at_int, v0) = v2 &
% 268.07/41.66  |              hAPP_int_bool(all_1091_1, v2) = v3 & hBOOL(v3) = v4 & hBOOL(v1) =
% 268.07/41.66  |              v5 & int(v2) & bool(v3) & ( ~ (v4 = 0) | v5 = 0)))
% 268.07/41.66  | 
% 268.07/41.66  | ALPHA: (374) implies:
% 268.07/41.66  |   (375)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1091_1
% 268.07/41.66  | 
% 268.07/41.66  | DELTA: instantiating (21) with fresh symbols all_1097_0, all_1097_1 gives:
% 268.07/41.66  |   (376)  hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = all_1097_1 &
% 268.07/41.66  |          hAPP_i1948725293t_bool(ord_less_int, pls) = all_1097_0 &
% 268.07/41.66  |          fun_real_bool(all_1097_1) & fun_int_bool(all_1097_0) &  ! [v0: int] :
% 268.07/41.66  |           ! [v1: bool] : ( ~ (hAPP_int_bool(all_1097_0, v0) = v1) |  ~ int(v0)
% 268.07/41.66  |            |  ? [v2: any] :  ? [v3: real] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.66  |            (hAPP_real_bool(all_1097_1, v3) = v4 & number267125858f_real(v0) =
% 268.07/41.66  |              v3 & hBOOL(v4) = v5 & hBOOL(v1) = v2 & real(v3) & bool(v4) & ( ~
% 268.07/41.66  |                (v2 = 0) | v5 = 0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.66  |            (hAPP_int_bool(all_1097_0, v0) = v1) |  ~ int(v0) |  ? [v2: real] :
% 268.07/41.66  |             ? [v3: bool] :  ? [v4: any] :  ? [v5: any] :
% 268.07/41.66  |            (hAPP_real_bool(all_1097_1, v2) = v3 & number267125858f_real(v0) =
% 268.07/41.66  |              v2 & hBOOL(v3) = v4 & hBOOL(v1) = v5 & real(v2) & bool(v3) & ( ~
% 268.07/41.66  |                (v4 = 0) | v5 = 0)))
% 268.07/41.66  | 
% 268.07/41.66  | ALPHA: (376) implies:
% 268.07/41.66  |   (377)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_1097_0
% 268.07/41.66  | 
% 268.07/41.66  | DELTA: instantiating (78) with fresh symbols all_1106_0, all_1106_1 gives:
% 268.07/41.66  |   (378)  hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1106_0 &
% 268.07/41.66  |          hAPP_i1948725293t_bool(ord_less_int, pls) = all_1106_1 &
% 268.07/41.66  |          fun_int_bool(all_1106_0) & fun_int_bool(all_1106_1) &  ! [v0: int] : 
% 268.07/41.66  |          ! [v1: bool] : ( ~ (hAPP_int_bool(all_1106_0, v0) = v1) |  ~ int(v0)
% 268.07/41.66  |            |  ? [v2: any] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.66  |            (bit1(v0) = v3 & hAPP_int_bool(all_1106_1, v3) = v4 & hBOOL(v4) =
% 268.07/41.66  |              v5 & hBOOL(v1) = v2 & int(v3) & bool(v4) & ( ~ (v2 = 0) | v5 =
% 268.07/41.66  |                0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.66  |            (hAPP_int_bool(all_1106_0, v0) = v1) |  ~ int(v0) |  ? [v2: int] : 
% 268.07/41.66  |            ? [v3: bool] :  ? [v4: any] :  ? [v5: any] : (bit1(v0) = v2 &
% 268.07/41.66  |              hAPP_int_bool(all_1106_1, v2) = v3 & hBOOL(v3) = v4 & hBOOL(v1) =
% 268.07/41.66  |              v5 & int(v2) & bool(v3) & ( ~ (v4 = 0) | v5 = 0)))
% 268.07/41.66  | 
% 268.07/41.66  | ALPHA: (378) implies:
% 268.07/41.66  |   (379)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_1106_1
% 268.07/41.66  | 
% 268.07/41.66  | DELTA: instantiating (58) with fresh symbols all_1115_0, all_1115_1 gives:
% 268.07/41.66  |   (380)  hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1115_1 &
% 268.07/41.66  |          hAPP_i1948725293t_bool(ord_less_int, pls) = all_1115_0 &
% 268.07/41.66  |          fun_nat_bool(all_1115_1) & fun_int_bool(all_1115_0) &  ! [v0: int] : 
% 268.07/41.66  |          ! [v1: bool] : ( ~ (hAPP_int_bool(all_1115_0, v0) = v1) |  ~ int(v0)
% 268.07/41.66  |            |  ? [v2: any] :  ? [v3: nat] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.66  |            (hAPP_nat_bool(all_1115_1, v3) = v4 & number_number_of_nat(v0) = v3
% 268.07/41.66  |              & hBOOL(v4) = v5 & hBOOL(v1) = v2 & nat(v3) & bool(v4) & ( ~ (v2
% 268.07/41.66  |                  = 0) | v5 = 0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.66  |            (hAPP_int_bool(all_1115_0, v0) = v1) |  ~ int(v0) |  ? [v2: nat] : 
% 268.07/41.66  |            ? [v3: bool] :  ? [v4: any] :  ? [v5: any] :
% 268.07/41.66  |            (hAPP_nat_bool(all_1115_1, v2) = v3 & number_number_of_nat(v0) = v2
% 268.07/41.66  |              & hBOOL(v3) = v4 & hBOOL(v1) = v5 & nat(v2) & bool(v3) & ( ~ (v4
% 268.07/41.66  |                  = 0) | v5 = 0)))
% 268.07/41.66  | 
% 268.07/41.66  | ALPHA: (380) implies:
% 268.07/41.66  |   (381)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_1115_0
% 268.07/41.66  | 
% 268.07/41.66  | DELTA: instantiating (27) with fresh symbols all_1124_0, all_1124_1,
% 268.07/41.66  |        all_1124_2 gives:
% 268.07/41.67  |   (382)  hAPP_r1134773055l_bool(ord_less_real, one_one_real) = all_1124_2 &
% 268.07/41.67  |          bit1(pls) = all_1124_1 & hAPP_i1948725293t_bool(ord_less_int,
% 268.07/41.67  |            all_1124_1) = all_1124_0 & fun_real_bool(all_1124_2) &
% 268.07/41.67  |          fun_int_bool(all_1124_0) & int(all_1124_1) &  ! [v0: int] :  ! [v1:
% 268.07/41.67  |            bool] : ( ~ (hAPP_int_bool(all_1124_0, v0) = v1) |  ~ int(v0) |  ?
% 268.07/41.67  |            [v2: any] :  ? [v3: real] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.67  |            (hAPP_real_bool(all_1124_2, v3) = v4 & number267125858f_real(v0) =
% 268.07/41.67  |              v3 & hBOOL(v4) = v5 & hBOOL(v1) = v2 & real(v3) & bool(v4) & ( ~
% 268.07/41.67  |                (v2 = 0) | v5 = 0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.67  |            (hAPP_int_bool(all_1124_0, v0) = v1) |  ~ int(v0) |  ? [v2: real] :
% 268.07/41.67  |             ? [v3: bool] :  ? [v4: any] :  ? [v5: any] :
% 268.07/41.67  |            (hAPP_real_bool(all_1124_2, v2) = v3 & number267125858f_real(v0) =
% 268.07/41.67  |              v2 & hBOOL(v3) = v4 & hBOOL(v1) = v5 & real(v2) & bool(v3) & ( ~
% 268.07/41.67  |                (v4 = 0) | v5 = 0)))
% 268.07/41.67  | 
% 268.07/41.67  | ALPHA: (382) implies:
% 268.07/41.67  |   (383)  bit1(pls) = all_1124_1
% 268.07/41.67  | 
% 268.07/41.67  | DELTA: instantiating (69) with fresh symbols all_1127_0, all_1127_1,
% 268.07/41.67  |        all_1127_2 gives:
% 268.07/41.67  |   (384)  hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = all_1127_2 &
% 268.07/41.67  |          bit1(pls) = all_1127_1 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 268.07/41.67  |            all_1127_1) = all_1127_0 & fun_real_bool(all_1127_2) &
% 268.07/41.67  |          fun_int_bool(all_1127_0) & int(all_1127_1) &  ! [v0: int] :  ! [v1:
% 268.07/41.67  |            bool] : ( ~ (hAPP_int_bool(all_1127_0, v0) = v1) |  ~ int(v0) |  ?
% 268.07/41.67  |            [v2: any] :  ? [v3: real] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.67  |            (hAPP_real_bool(all_1127_2, v3) = v4 & number267125858f_real(v0) =
% 268.07/41.67  |              v3 & hBOOL(v4) = v5 & hBOOL(v1) = v2 & real(v3) & bool(v4) & ( ~
% 268.07/41.67  |                (v2 = 0) | v5 = 0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.67  |            (hAPP_int_bool(all_1127_0, v0) = v1) |  ~ int(v0) |  ? [v2: real] :
% 268.07/41.67  |             ? [v3: bool] :  ? [v4: any] :  ? [v5: any] :
% 268.07/41.67  |            (hAPP_real_bool(all_1127_2, v2) = v3 & number267125858f_real(v0) =
% 268.07/41.67  |              v2 & hBOOL(v3) = v4 & hBOOL(v1) = v5 & real(v2) & bool(v3) & ( ~
% 268.07/41.67  |                (v4 = 0) | v5 = 0)))
% 268.07/41.67  | 
% 268.07/41.67  | ALPHA: (384) implies:
% 268.07/41.67  |   (385)  bit1(pls) = all_1127_1
% 268.07/41.67  | 
% 268.07/41.67  | DELTA: instantiating (93) with fresh symbols all_1139_0, all_1139_1,
% 268.07/41.67  |        all_1139_2, all_1139_3 gives:
% 268.07/41.67  |   (386)  bit1(pls) = all_1139_3 & bit0(all_1139_3) = all_1139_2 &
% 268.07/41.67  |          number_number_of_nat(all_1139_2) = all_1139_1 &
% 268.07/41.67  |          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1139_0 &
% 268.07/41.67  |          fun_int_bool(all_1139_0) & nat(all_1139_1) & int(all_1139_2) &
% 268.07/41.67  |          int(all_1139_3) &  ! [v0: int] :  ! [v1: int] :  ! [v2: bool] :  !
% 268.07/41.67  |          [v3: bool] : (v1 = v0 |  ~ (hAPP_int_bool(all_1139_0, v1) = v3) |  ~
% 268.07/41.67  |            (hAPP_int_bool(all_1139_0, v0) = v2) |  ~ int(v1) |  ~ int(v0) |  ?
% 268.07/41.67  |            [v4: fun_nat_int] :  ? [v5: int] :  ? [v6: fun_nat_int] :  ? [v7:
% 268.07/41.67  |              int] :  ? [v8: any] :  ? [v9: any] : (power_power_int(v1) = v6 &
% 268.07/41.67  |              power_power_int(v0) = v4 & hAPP_nat_int(v6, all_1139_1) = v7 &
% 268.07/41.67  |              hAPP_nat_int(v4, all_1139_1) = v5 & hBOOL(v3) = v9 & hBOOL(v2) =
% 268.07/41.67  |              v8 & fun_nat_int(v6) & fun_nat_int(v4) & int(v7) & int(v5) & ( ~
% 268.07/41.67  |                (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = v5))))
% 268.07/41.67  | 
% 268.07/41.67  | ALPHA: (386) implies:
% 268.07/41.67  |   (387)  number_number_of_nat(all_1139_2) = all_1139_1
% 268.07/41.67  |   (388)  bit0(all_1139_3) = all_1139_2
% 268.07/41.67  |   (389)  bit1(pls) = all_1139_3
% 268.07/41.67  | 
% 268.07/41.67  | DELTA: instantiating (70) with fresh symbols all_1142_0, all_1142_1,
% 268.07/41.67  |        all_1142_2 gives:
% 268.07/41.67  |   (390)  bit1(pls) = all_1142_1 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 268.07/41.67  |            all_1142_1) = all_1142_0 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 268.07/41.67  |            one_one_int) = all_1142_2 & fun_int_bool(all_1142_0) &
% 268.07/41.67  |          fun_int_bool(all_1142_2) & int(all_1142_1) &  ! [v0: int] :  ! [v1:
% 268.07/41.67  |            bool] : ( ~ (hAPP_int_bool(all_1142_0, v0) = v1) |  ~ int(v0) |  ?
% 268.07/41.67  |            [v2: any] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.67  |            (number_number_of_int(v0) = v3 & hAPP_int_bool(all_1142_2, v3) = v4
% 268.07/41.67  |              & hBOOL(v4) = v5 & hBOOL(v1) = v2 & int(v3) & bool(v4) & ( ~ (v2
% 268.07/41.67  |                  = 0) | v5 = 0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.67  |            (hAPP_int_bool(all_1142_0, v0) = v1) |  ~ int(v0) |  ? [v2: int] : 
% 268.07/41.67  |            ? [v3: bool] :  ? [v4: any] :  ? [v5: any] :
% 268.07/41.67  |            (number_number_of_int(v0) = v2 & hAPP_int_bool(all_1142_2, v2) = v3
% 268.07/41.67  |              & hBOOL(v3) = v4 & hBOOL(v1) = v5 & int(v2) & bool(v3) & ( ~ (v4
% 268.07/41.67  |                  = 0) | v5 = 0)))
% 268.07/41.67  | 
% 268.07/41.67  | ALPHA: (390) implies:
% 268.07/41.67  |   (391)  bit1(pls) = all_1142_1
% 268.07/41.67  | 
% 268.07/41.67  | DELTA: instantiating (92) with fresh symbols all_1151_0, all_1151_1,
% 268.07/41.67  |        all_1151_2, all_1151_3 gives:
% 268.07/41.67  |   (392)  hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = all_1151_0 &
% 268.07/41.67  |          bit1(pls) = all_1151_3 & bit0(all_1151_3) = all_1151_2 &
% 268.07/41.67  |          number_number_of_nat(all_1151_2) = all_1151_1 &
% 268.07/41.67  |          fun_nat_bool(all_1151_0) & nat(all_1151_1) & int(all_1151_2) &
% 268.07/41.67  |          int(all_1151_3) &  ! [v0: nat] :  ! [v1: nat] :  ! [v2: bool] :  !
% 268.07/41.67  |          [v3: bool] : (v1 = v0 |  ~ (hAPP_nat_bool(all_1151_0, v1) = v3) |  ~
% 268.07/41.67  |            (hAPP_nat_bool(all_1151_0, v0) = v2) |  ~ nat(v1) |  ~ nat(v0) |  ?
% 268.07/41.67  |            [v4: fun_nat_nat] :  ? [v5: nat] :  ? [v6: fun_nat_nat] :  ? [v7:
% 268.07/41.67  |              nat] :  ? [v8: any] :  ? [v9: any] : (power_power_nat(v1) = v6 &
% 268.07/41.67  |              power_power_nat(v0) = v4 & hAPP_nat_nat(v6, all_1151_1) = v7 &
% 268.07/41.67  |              hAPP_nat_nat(v4, all_1151_1) = v5 & hBOOL(v3) = v9 & hBOOL(v2) =
% 268.07/41.67  |              v8 & fun_nat_nat(v6) & fun_nat_nat(v4) & nat(v7) & nat(v5) & ( ~
% 268.07/41.67  |                (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = v5))))
% 268.07/41.67  | 
% 268.07/41.67  | ALPHA: (392) implies:
% 268.07/41.67  |   (393)  number_number_of_nat(all_1151_2) = all_1151_1
% 268.07/41.67  |   (394)  bit0(all_1151_3) = all_1151_2
% 268.07/41.67  |   (395)  bit1(pls) = all_1151_3
% 268.07/41.67  | 
% 268.07/41.67  | DELTA: instantiating (66) with fresh symbol all_1160_0 gives:
% 268.07/41.67  |   (396)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1160_0 &
% 268.07/41.67  |          fun_int_bool(all_1160_0) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.67  |            (hAPP_int_bool(all_1160_0, v0) = v1) |  ~ int(v0) |  ? [v2: any] : 
% 268.07/41.67  |            ? [v3: fun_int_int] :  ? [v4: int] :  ? [v5: bool] :  ? [v6: any] :
% 268.07/41.67  |            (plus_plus_int(v0) = v3 & hAPP_int_int(v3, v0) = v4 &
% 268.07/41.67  |              hAPP_int_bool(all_1160_0, v4) = v5 & hBOOL(v5) = v6 & hBOOL(v1) =
% 268.07/41.67  |              v2 & fun_int_int(v3) & int(v4) & bool(v5) & ( ~ (v2 = 0) | v6 =
% 268.07/41.67  |                0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.67  |            (hAPP_int_bool(all_1160_0, v0) = v1) |  ~ int(v0) |  ? [v2:
% 268.07/41.67  |              fun_int_int] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :  ?
% 268.07/41.67  |            [v6: any] : (plus_plus_int(v0) = v2 & hAPP_int_int(v2, v0) = v3 &
% 268.07/41.67  |              hAPP_int_bool(all_1160_0, v3) = v4 & hBOOL(v4) = v5 & hBOOL(v1) =
% 268.07/41.67  |              v6 & fun_int_int(v2) & int(v3) & bool(v4) & ( ~ (v5 = 0) | v6 =
% 268.07/41.67  |                0)))
% 268.07/41.67  | 
% 268.07/41.67  | ALPHA: (396) implies:
% 268.07/41.67  |   (397)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1160_0
% 268.07/41.67  | 
% 268.07/41.67  | DELTA: instantiating (26) with fresh symbols all_1163_0, all_1163_1,
% 268.07/41.67  |        all_1163_2 gives:
% 268.07/41.68  |   (398)  bit1(pls) = all_1163_1 & hAPP_i1948725293t_bool(ord_less_int,
% 268.07/41.68  |            all_1163_1) = all_1163_0 & hAPP_i1948725293t_bool(ord_less_int,
% 268.07/41.68  |            one_one_int) = all_1163_2 & fun_int_bool(all_1163_0) &
% 268.07/41.68  |          fun_int_bool(all_1163_2) & int(all_1163_1) &  ! [v0: int] :  ! [v1:
% 268.07/41.68  |            bool] : ( ~ (hAPP_int_bool(all_1163_0, v0) = v1) |  ~ int(v0) |  ?
% 268.07/41.68  |            [v2: any] :  ? [v3: int] :  ? [v4: bool] :  ? [v5: any] :
% 268.07/41.68  |            (number_number_of_int(v0) = v3 & hAPP_int_bool(all_1163_2, v3) = v4
% 268.07/41.68  |              & hBOOL(v4) = v5 & hBOOL(v1) = v2 & int(v3) & bool(v4) & ( ~ (v2
% 268.07/41.68  |                  = 0) | v5 = 0))) &  ! [v0: int] :  ! [v1: bool] : ( ~
% 268.07/41.68  |            (hAPP_int_bool(all_1163_0, v0) = v1) |  ~ int(v0) |  ? [v2: int] : 
% 268.07/41.68  |            ? [v3: bool] :  ? [v4: any] :  ? [v5: any] :
% 268.07/41.68  |            (number_number_of_int(v0) = v2 & hAPP_int_bool(all_1163_2, v2) = v3
% 268.07/41.68  |              & hBOOL(v3) = v4 & hBOOL(v1) = v5 & int(v2) & bool(v3) & ( ~ (v4
% 268.07/41.68  |                  = 0) | v5 = 0)))
% 268.07/41.68  | 
% 268.07/41.68  | ALPHA: (398) implies:
% 268.07/41.68  |   (399)  bit1(pls) = all_1163_1
% 268.07/41.68  | 
% 268.07/41.68  | DELTA: instantiating (91) with fresh symbols all_1166_0, all_1166_1,
% 268.07/41.68  |        all_1166_2, all_1166_3 gives:
% 268.07/41.68  |   (400)  hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = all_1166_0
% 268.07/41.68  |          & bit1(pls) = all_1166_3 & bit0(all_1166_3) = all_1166_2 &
% 268.07/41.68  |          number_number_of_nat(all_1166_2) = all_1166_1 &
% 268.07/41.68  |          fun_real_bool(all_1166_0) & nat(all_1166_1) & int(all_1166_2) &
% 268.07/41.68  |          int(all_1166_3) &  ! [v0: real] :  ! [v1: real] :  ! [v2: bool] :  !
% 268.07/41.68  |          [v3: bool] : (v1 = v0 |  ~ (hAPP_real_bool(all_1166_0, v1) = v3) |  ~
% 268.07/41.68  |            (hAPP_real_bool(all_1166_0, v0) = v2) |  ~ real(v1) |  ~ real(v0) |
% 268.07/41.68  |             ? [v4: fun_nat_real] :  ? [v5: real] :  ? [v6: fun_nat_real] :  ?
% 268.07/41.68  |            [v7: real] :  ? [v8: any] :  ? [v9: any] : (power_power_real(v1) =
% 268.07/41.68  |              v6 & power_power_real(v0) = v4 & hAPP_nat_real(v6, all_1166_1) =
% 268.07/41.68  |              v7 & hAPP_nat_real(v4, all_1166_1) = v5 & hBOOL(v3) = v9 &
% 268.07/41.68  |              hBOOL(v2) = v8 & fun_nat_real(v6) & fun_nat_real(v4) & real(v7) &
% 268.07/41.68  |              real(v5) & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = v5))))
% 268.07/41.68  | 
% 268.07/41.68  | ALPHA: (400) implies:
% 268.07/41.68  |   (401)  number_number_of_nat(all_1166_2) = all_1166_1
% 268.07/41.68  |   (402)  bit0(all_1166_3) = all_1166_2
% 268.07/41.68  |   (403)  bit1(pls) = all_1166_3
% 268.07/41.68  | 
% 268.07/41.68  | DELTA: instantiating (95) with fresh symbols all_1175_0, all_1175_1,
% 268.07/41.68  |        all_1175_2, all_1175_3 gives:
% 268.07/41.68  |   (404)  hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = all_1175_0 &
% 268.07/41.68  |          bit1(pls) = all_1175_3 & bit0(all_1175_3) = all_1175_2 &
% 268.07/41.68  |          number_number_of_nat(all_1175_2) = all_1175_1 &
% 268.07/41.68  |          fun_nat_bool(all_1175_0) & nat(all_1175_1) & int(all_1175_2) &
% 268.07/41.68  |          int(all_1175_3) &  ! [v0: nat] :  ! [v1: nat] :  ! [v2: fun_nat_nat]
% 268.07/41.68  |          :  ! [v3: nat] :  ! [v4: fun_nat_bool] :  ! [v5: fun_nat_nat] :  !
% 268.07/41.68  |          [v6: nat] :  ! [v7: bool] : ( ~ (hAPP_n1699378549t_bool(ord_less_nat,
% 268.07/41.68  |                v3) = v4) |  ~ (hAPP_nat_bool(v4, v6) = v7) |  ~
% 268.07/41.68  |            (power_power_nat(v1) = v5) |  ~ (power_power_nat(v0) = v2) |  ~
% 268.07/41.68  |            (hAPP_nat_nat(v5, all_1175_1) = v6) |  ~ (hAPP_nat_nat(v2,
% 268.07/41.68  |                all_1175_1) = v3) |  ~ nat(v1) |  ~ nat(v0) |  ? [v8: any] :  ?
% 268.07/41.68  |            [v9: bool] :  ? [v10: any] :  ? [v11: fun_nat_bool] :  ? [v12:
% 268.07/41.68  |              bool] :  ? [v13: any] : (hAPP_n1699378549t_bool(ord_less_nat, v0)
% 268.07/41.68  |              = v11 & hAPP_nat_bool(v11, v1) = v12 & hAPP_nat_bool(all_1175_0,
% 268.07/41.68  |                v1) = v9 & hBOOL(v12) = v13 & hBOOL(v9) = v10 & hBOOL(v7) = v8
% 268.07/41.68  |              & fun_nat_bool(v11) & bool(v12) & bool(v9) & ( ~ (v10 = 0) |  ~
% 268.07/41.68  |                (v8 = 0) | v13 = 0)))
% 268.07/41.68  | 
% 268.07/41.68  | ALPHA: (404) implies:
% 268.07/41.68  |   (405)  number_number_of_nat(all_1175_2) = all_1175_1
% 268.07/41.68  |   (406)  bit0(all_1175_3) = all_1175_2
% 268.07/41.68  |   (407)  bit1(pls) = all_1175_3
% 268.07/41.68  | 
% 268.07/41.68  | DELTA: instantiating (55) with fresh symbol all_1178_0 gives:
% 268.07/41.68  |   (408)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1178_0 &
% 268.07/41.68  |          fun_int_bool(all_1178_0) &  ! [v0: int] :  ! [v1: nat] :  ! [v2: nat]
% 268.07/41.68  |          :  ! [v3: fun_nat_int] :  ! [v4: int] :  ! [v5: fun_int_bool] :  !
% 268.07/41.68  |          [v6: int] :  ! [v7: bool] : ( ~ (power_power_int(v0) = v3) |  ~
% 268.07/41.68  |            (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) |  ~
% 268.07/41.68  |            (hAPP_nat_int(v3, v2) = v4) |  ~ (hAPP_nat_int(v3, v1) = v6) |  ~
% 268.07/41.68  |            (hAPP_int_bool(v5, v6) = v7) |  ~ nat(v2) |  ~ nat(v1) |  ~ int(v0)
% 268.07/41.68  |            |  ? [v8: fun_nat_bool] :  ? [v9: bool] :  ? [v10: any] :  ? [v11:
% 268.07/41.68  |              bool] :  ? [v12: any] :  ? [v13: fun_int_bool] :  ? [v14: bool] :
% 268.07/41.68  |             ? [v15: any] :  ? [v16: any] :
% 268.07/41.68  |            (hAPP_n1699378549t_bool(ord_less_nat, v1) = v8 & hAPP_nat_bool(v8,
% 268.07/41.68  |                v2) = v9 & hAPP_i1948725293t_bool(ord_less_int, v0) = v13 &
% 268.07/41.68  |              hAPP_int_bool(v13, one_one_int) = v14 & hAPP_int_bool(all_1178_0,
% 268.07/41.68  |                v0) = v11 & hBOOL(v14) = v15 & hBOOL(v11) = v12 & hBOOL(v9) =
% 268.07/41.68  |              v10 & hBOOL(v7) = v16 & fun_nat_bool(v8) & fun_int_bool(v13) &
% 268.07/41.68  |              bool(v14) & bool(v11) & bool(v9) & ( ~ (v15 = 0) |  ~ (v12 = 0) |
% 268.07/41.68  |                 ~ (v10 = 0) | v16 = 0)))
% 268.07/41.68  | 
% 268.07/41.68  | ALPHA: (408) implies:
% 268.07/41.68  |   (409)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1178_0
% 268.07/41.68  | 
% 268.07/41.68  | DELTA: instantiating (89) with fresh symbols all_1181_0, all_1181_1,
% 268.07/41.68  |        all_1181_2, all_1181_3 gives:
% 268.07/41.68  |   (410)  hAPP_n1699378549t_bool(ord_less_eq_nat, zero_zero_nat) = all_1181_0 &
% 268.07/41.68  |          bit1(pls) = all_1181_3 & bit0(all_1181_3) = all_1181_2 &
% 268.07/41.68  |          number_number_of_nat(all_1181_2) = all_1181_1 &
% 268.07/41.68  |          fun_nat_bool(all_1181_0) & nat(all_1181_1) & int(all_1181_2) &
% 268.07/41.68  |          int(all_1181_3) &  ! [v0: nat] :  ! [v1: nat] :  ! [v2: fun_nat_nat]
% 268.07/41.68  |          :  ! [v3: nat] :  ! [v4: fun_nat_bool] :  ! [v5: fun_nat_nat] :  !
% 268.07/41.68  |          [v6: nat] :  ! [v7: bool] : ( ~
% 268.07/41.68  |            (hAPP_n1699378549t_bool(ord_less_eq_nat, v3) = v4) |  ~
% 268.07/41.68  |            (hAPP_nat_bool(v4, v6) = v7) |  ~ (power_power_nat(v1) = v5) |  ~
% 268.07/41.68  |            (power_power_nat(v0) = v2) |  ~ (hAPP_nat_nat(v5, all_1181_1) = v6)
% 268.07/41.68  |            |  ~ (hAPP_nat_nat(v2, all_1181_1) = v3) |  ~ nat(v1) |  ~ nat(v0)
% 268.07/41.68  |            |  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ? [v11:
% 268.07/41.68  |              fun_nat_bool] :  ? [v12: bool] :  ? [v13: any] :
% 268.07/41.68  |            (hAPP_n1699378549t_bool(ord_less_eq_nat, v0) = v11 &
% 268.07/41.68  |              hAPP_nat_bool(v11, v1) = v12 & hAPP_nat_bool(all_1181_0, v1) = v9
% 268.07/41.68  |              & hBOOL(v12) = v13 & hBOOL(v9) = v10 & hBOOL(v7) = v8 &
% 268.07/41.68  |              fun_nat_bool(v11) & bool(v12) & bool(v9) & ( ~ (v10 = 0) |  ~ (v8
% 268.07/41.68  |                  = 0) | v13 = 0)))
% 268.07/41.68  | 
% 268.07/41.68  | ALPHA: (410) implies:
% 268.07/41.68  |   (411)  number_number_of_nat(all_1181_2) = all_1181_1
% 268.07/41.68  |   (412)  bit0(all_1181_3) = all_1181_2
% 268.07/41.68  |   (413)  bit1(pls) = all_1181_3
% 268.07/41.68  | 
% 268.07/41.68  | DELTA: instantiating (94) with fresh symbols all_1187_0, all_1187_1,
% 268.07/41.68  |        all_1187_2, all_1187_3 gives:
% 268.07/41.68  |   (414)  hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = all_1187_0
% 268.07/41.68  |          & bit1(pls) = all_1187_3 & bit0(all_1187_3) = all_1187_2 &
% 268.07/41.68  |          number_number_of_nat(all_1187_2) = all_1187_1 &
% 268.07/41.68  |          fun_real_bool(all_1187_0) & nat(all_1187_1) & int(all_1187_2) &
% 268.07/41.68  |          int(all_1187_3) &  ! [v0: real] :  ! [v1: real] :  ! [v2:
% 268.07/41.68  |            fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_bool] :  ! [v5:
% 268.07/41.68  |            fun_nat_real] :  ! [v6: real] :  ! [v7: bool] : ( ~
% 268.07/41.68  |            (hAPP_r1134773055l_bool(ord_less_real, v3) = v4) |  ~
% 268.07/41.68  |            (hAPP_real_bool(v4, v6) = v7) |  ~ (power_power_real(v1) = v5) |  ~
% 268.07/41.68  |            (power_power_real(v0) = v2) |  ~ (hAPP_nat_real(v5, all_1187_1) =
% 268.07/41.68  |              v6) |  ~ (hAPP_nat_real(v2, all_1187_1) = v3) |  ~ real(v1) |  ~
% 268.07/41.68  |            real(v0) |  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ? [v11:
% 268.07/41.68  |              fun_real_bool] :  ? [v12: bool] :  ? [v13: any] :
% 268.07/41.68  |            (hAPP_r1134773055l_bool(ord_less_real, v0) = v11 &
% 268.07/41.68  |              hAPP_real_bool(v11, v1) = v12 & hAPP_real_bool(all_1187_0, v1) =
% 268.07/41.68  |              v9 & hBOOL(v12) = v13 & hBOOL(v9) = v10 & hBOOL(v7) = v8 &
% 268.07/41.68  |              fun_real_bool(v11) & bool(v12) & bool(v9) & ( ~ (v10 = 0) |  ~
% 268.07/41.68  |                (v8 = 0) | v13 = 0)))
% 268.07/41.68  | 
% 268.07/41.68  | ALPHA: (414) implies:
% 268.07/41.68  |   (415)  number_number_of_nat(all_1187_2) = all_1187_1
% 268.07/41.68  |   (416)  bit0(all_1187_3) = all_1187_2
% 268.07/41.68  |   (417)  bit1(pls) = all_1187_3
% 268.07/41.68  | 
% 268.07/41.68  | DELTA: instantiating (96) with fresh symbols all_1193_0, all_1193_1,
% 268.07/41.68  |        all_1193_2, all_1193_3 gives:
% 268.07/41.69  |   (418)  bit1(pls) = all_1193_3 & bit0(all_1193_3) = all_1193_2 &
% 268.07/41.69  |          number_number_of_nat(all_1193_2) = all_1193_1 &
% 268.07/41.69  |          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1193_0 &
% 268.07/41.69  |          fun_int_bool(all_1193_0) & nat(all_1193_1) & int(all_1193_2) &
% 268.07/41.69  |          int(all_1193_3) &  ! [v0: int] :  ! [v1: int] :  ! [v2: fun_nat_int]
% 268.07/41.69  |          :  ! [v3: int] :  ! [v4: fun_int_bool] :  ! [v5: fun_nat_int] :  !
% 268.07/41.69  |          [v6: int] :  ! [v7: bool] : ( ~ (power_power_int(v1) = v5) |  ~
% 268.07/41.69  |            (power_power_int(v0) = v2) |  ~
% 268.07/41.69  |            (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) |  ~
% 268.07/41.69  |            (hAPP_nat_int(v5, all_1193_1) = v6) |  ~ (hAPP_nat_int(v2,
% 268.07/41.69  |                all_1193_1) = v3) |  ~ (hAPP_int_bool(v4, v6) = v7) |  ~
% 268.07/41.69  |            int(v1) |  ~ int(v0) |  ? [v8: any] :  ? [v9: bool] :  ? [v10: any]
% 268.07/41.69  |            :  ? [v11: fun_int_bool] :  ? [v12: bool] :  ? [v13: any] :
% 268.07/41.69  |            (hAPP_i1948725293t_bool(ord_less_int, v0) = v11 &
% 268.07/41.69  |              hAPP_int_bool(v11, v1) = v12 & hAPP_int_bool(all_1193_0, v1) = v9
% 268.07/41.69  |              & hBOOL(v12) = v13 & hBOOL(v9) = v10 & hBOOL(v7) = v8 &
% 268.07/41.69  |              fun_int_bool(v11) & bool(v12) & bool(v9) & ( ~ (v10 = 0) |  ~ (v8
% 268.07/41.69  |                  = 0) | v13 = 0)))
% 268.07/41.69  | 
% 268.07/41.69  | ALPHA: (418) implies:
% 268.07/41.69  |   (419)  number_number_of_nat(all_1193_2) = all_1193_1
% 268.07/41.69  |   (420)  bit0(all_1193_3) = all_1193_2
% 268.07/41.69  |   (421)  bit1(pls) = all_1193_3
% 268.07/41.69  | 
% 268.07/41.69  | DELTA: instantiating (88) with fresh symbols all_1199_0, all_1199_1,
% 268.07/41.69  |        all_1199_2, all_1199_3 gives:
% 268.07/41.69  |   (422)  hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = all_1199_0
% 268.07/41.69  |          & bit1(pls) = all_1199_3 & bit0(all_1199_3) = all_1199_2 &
% 268.07/41.69  |          number_number_of_nat(all_1199_2) = all_1199_1 &
% 268.07/41.69  |          fun_real_bool(all_1199_0) & nat(all_1199_1) & int(all_1199_2) &
% 268.07/41.69  |          int(all_1199_3) &  ! [v0: real] :  ! [v1: real] :  ! [v2:
% 268.07/41.69  |            fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_bool] :  ! [v5:
% 268.07/41.69  |            fun_nat_real] :  ! [v6: real] :  ! [v7: bool] : ( ~
% 268.07/41.69  |            (hAPP_r1134773055l_bool(ord_less_eq_real, v3) = v4) |  ~
% 268.07/41.69  |            (hAPP_real_bool(v4, v6) = v7) |  ~ (power_power_real(v1) = v5) |  ~
% 268.07/41.69  |            (power_power_real(v0) = v2) |  ~ (hAPP_nat_real(v5, all_1199_1) =
% 268.07/41.69  |              v6) |  ~ (hAPP_nat_real(v2, all_1199_1) = v3) |  ~ real(v1) |  ~
% 268.07/41.69  |            real(v0) |  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ? [v11:
% 268.07/41.69  |              fun_real_bool] :  ? [v12: bool] :  ? [v13: any] :
% 268.07/41.69  |            (hAPP_r1134773055l_bool(ord_less_eq_real, v0) = v11 &
% 268.07/41.69  |              hAPP_real_bool(v11, v1) = v12 & hAPP_real_bool(all_1199_0, v1) =
% 268.07/41.69  |              v9 & hBOOL(v12) = v13 & hBOOL(v9) = v10 & hBOOL(v7) = v8 &
% 268.07/41.69  |              fun_real_bool(v11) & bool(v12) & bool(v9) & ( ~ (v10 = 0) |  ~
% 268.07/41.69  |                (v8 = 0) | v13 = 0)))
% 268.07/41.69  | 
% 268.07/41.69  | ALPHA: (422) implies:
% 268.07/41.69  |   (423)  number_number_of_nat(all_1199_2) = all_1199_1
% 268.07/41.69  |   (424)  bit0(all_1199_3) = all_1199_2
% 268.07/41.69  |   (425)  bit1(pls) = all_1199_3
% 268.07/41.69  | 
% 268.07/41.69  | DELTA: instantiating (90) with fresh symbols all_1205_0, all_1205_1,
% 268.07/41.69  |        all_1205_2, all_1205_3 gives:
% 268.07/41.69  |   (426)  bit1(pls) = all_1205_3 & bit0(all_1205_3) = all_1205_2 &
% 268.07/41.69  |          number_number_of_nat(all_1205_2) = all_1205_1 &
% 268.07/41.69  |          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1205_0 &
% 268.07/41.69  |          fun_int_bool(all_1205_0) & nat(all_1205_1) & int(all_1205_2) &
% 268.07/41.69  |          int(all_1205_3) &  ! [v0: int] :  ! [v1: int] :  ! [v2: fun_nat_int]
% 268.07/41.69  |          :  ! [v3: int] :  ! [v4: fun_int_bool] :  ! [v5: fun_nat_int] :  !
% 268.07/41.69  |          [v6: int] :  ! [v7: bool] : ( ~ (power_power_int(v1) = v5) |  ~
% 268.07/41.69  |            (power_power_int(v0) = v2) |  ~
% 268.07/41.69  |            (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) |  ~
% 268.07/41.69  |            (hAPP_nat_int(v5, all_1205_1) = v6) |  ~ (hAPP_nat_int(v2,
% 268.07/41.69  |                all_1205_1) = v3) |  ~ (hAPP_int_bool(v4, v6) = v7) |  ~
% 268.07/41.69  |            int(v1) |  ~ int(v0) |  ? [v8: any] :  ? [v9: bool] :  ? [v10: any]
% 268.07/41.69  |            :  ? [v11: fun_int_bool] :  ? [v12: bool] :  ? [v13: any] :
% 268.07/41.69  |            (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v11 &
% 268.07/41.69  |              hAPP_int_bool(v11, v1) = v12 & hAPP_int_bool(all_1205_0, v1) = v9
% 268.07/41.69  |              & hBOOL(v12) = v13 & hBOOL(v9) = v10 & hBOOL(v7) = v8 &
% 268.07/41.69  |              fun_int_bool(v11) & bool(v12) & bool(v9) & ( ~ (v10 = 0) |  ~ (v8
% 268.07/41.69  |                  = 0) | v13 = 0)))
% 268.07/41.69  | 
% 268.07/41.69  | ALPHA: (426) implies:
% 268.07/41.69  |   (427)  number_number_of_nat(all_1205_2) = all_1205_1
% 268.07/41.69  |   (428)  bit0(all_1205_3) = all_1205_2
% 268.07/41.69  |   (429)  bit1(pls) = all_1205_3
% 268.07/41.69  | 
% 268.07/41.69  | DELTA: instantiating (106) with fresh symbols all_1208_0, all_1208_1,
% 268.07/41.69  |        all_1208_2, all_1208_3 gives:
% 268.07/41.69  |   (430)  number_number_of_int(all_1208_2) = all_1208_0 & bit1(pls) =
% 268.07/41.69  |          all_1208_3 & bit0(all_1208_3) = all_1208_2 &
% 268.07/41.69  |          number_number_of_nat(all_1208_2) = all_1208_1 & nat(all_1208_1) &
% 268.07/41.69  |          int(all_1208_0) & int(all_1208_2) & int(all_1208_3) &  ! [v0: int] : 
% 268.07/41.69  |          ! [v1: int] :  ! [v2: fun_nat_int] :  ! [v3: int] :  ! [v4:
% 268.07/41.69  |            fun_int_int] :  ! [v5: int] :  ! [v6: int] :  ! [v7: int] :  ! [v8:
% 268.07/41.69  |            fun_int_int] :  ! [v9: fun_nat_int] :  ! [v10: int] :  ! [v11: int]
% 268.07/41.69  |          : ( ~ (times_times_int(v5, v1) = v6) |  ~
% 268.07/41.69  |            (times_times_int(all_1208_0, v0) = v5) |  ~ (power_power_int(v1) =
% 268.07/41.69  |              v9) |  ~ (power_power_int(v0) = v2) |  ~ (plus_plus_int(v7) = v8)
% 268.07/41.69  |            |  ~ (plus_plus_int(v3) = v4) |  ~ (hAPP_nat_int(v9, all_1208_1) =
% 268.07/41.69  |              v10) |  ~ (hAPP_nat_int(v2, all_1208_1) = v3) |  ~
% 268.07/41.69  |            (hAPP_int_int(v8, v10) = v11) |  ~ (hAPP_int_int(v4, v6) = v7) |  ~
% 268.07/41.69  |            int(v1) |  ~ int(v0) |  ? [v12: fun_int_int] :  ? [v13: int] :  ?
% 268.07/41.69  |            [v14: fun_nat_int] : (power_power_int(v13) = v14 &
% 268.07/41.69  |              plus_plus_int(v0) = v12 & hAPP_nat_int(v14, all_1208_1) = v11 &
% 268.07/41.69  |              hAPP_int_int(v12, v1) = v13 & fun_nat_int(v14) & fun_int_int(v12)
% 268.07/41.69  |              & int(v13) & int(v11)))
% 268.07/41.69  | 
% 268.07/41.69  | ALPHA: (430) implies:
% 268.07/41.69  |   (431)  number_number_of_nat(all_1208_2) = all_1208_1
% 268.07/41.69  |   (432)  bit0(all_1208_3) = all_1208_2
% 268.07/41.69  |   (433)  bit1(pls) = all_1208_3
% 268.07/41.69  | 
% 268.07/41.69  | DELTA: instantiating (41) with fresh symbols all_1226_0, all_1226_1,
% 268.07/41.69  |        all_1226_2, all_1226_3 gives:
% 268.07/41.69  |   (434)  bit1(pls) = all_1226_2 & bit0(all_1226_2) = all_1226_1 &
% 268.07/41.69  |          number_number_of_nat(all_1226_1) = all_1226_0 &
% 268.07/41.69  |          hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1226_3 &
% 268.07/41.69  |          fun_int_bool(all_1226_3) & nat(all_1226_0) & int(all_1226_1) &
% 268.07/41.69  |          int(all_1226_2) &  ! [v0: int] :  ! [v1: int] :  ! [v2: fun_nat_int]
% 268.07/41.69  |          :  ! [v3: int] :  ! [v4: fun_int_int] :  ! [v5: fun_nat_int] :  !
% 268.07/41.69  |          [v6: int] :  ! [v7: int] : ( ~ (power_power_int(v1) = v5) |  ~
% 268.07/41.69  |            (power_power_int(v0) = v2) |  ~ (plus_plus_int(v3) = v4) |  ~
% 268.07/41.69  |            (hAPP_nat_int(v5, all_1226_0) = v6) |  ~ (hAPP_nat_int(v2,
% 268.07/41.69  |                all_1226_0) = v3) |  ~ (hAPP_int_int(v4, v6) = v7) |  ~ int(v1)
% 268.07/41.69  |            |  ~ int(v0) |  ? [v8: bool] : (hAPP_int_bool(all_1226_3, v7) = v8
% 268.07/41.69  |              & hBOOL(v8) = 0 & bool(v8)) | (v1 = zero_zero_int & v0 =
% 268.07/41.69  |              zero_zero_int)) &  ! [v0: fun_nat_int] :  ! [v1: int] :  ! [v2:
% 268.07/41.69  |            fun_int_int] :  ! [v3: int] : ( ~ (power_power_int(zero_zero_int) =
% 268.07/41.69  |              v0) |  ~ (plus_plus_int(v1) = v2) |  ~ (hAPP_nat_int(v0,
% 268.07/41.69  |                all_1226_0) = v1) |  ~ (hAPP_int_int(v2, v1) = v3) |  ? [v4:
% 268.07/41.69  |              bool] :  ? [v5: int] : ( ~ (v5 = 0) & hAPP_int_bool(all_1226_3,
% 268.07/41.69  |                v3) = v4 & hBOOL(v4) = v5 & bool(v4)))
% 268.07/41.69  | 
% 268.07/41.69  | ALPHA: (434) implies:
% 268.07/41.69  |   (435)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1226_3
% 268.07/41.69  |   (436)  number_number_of_nat(all_1226_1) = all_1226_0
% 268.07/41.69  |   (437)  bit0(all_1226_2) = all_1226_1
% 268.07/41.69  |   (438)  bit1(pls) = all_1226_2
% 268.07/41.69  | 
% 268.07/41.69  | DELTA: instantiating (42) with fresh symbols all_1229_0, all_1229_1,
% 268.07/41.69  |        all_1229_2, all_1229_3 gives:
% 268.07/41.70  |   (439)  hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = all_1229_3 &
% 268.07/41.70  |          bit1(pls) = all_1229_2 & bit0(all_1229_2) = all_1229_1 &
% 268.07/41.70  |          number_number_of_nat(all_1229_1) = all_1229_0 &
% 268.07/41.70  |          fun_real_bool(all_1229_3) & nat(all_1229_0) & int(all_1229_1) &
% 268.07/41.70  |          int(all_1229_2) &  ! [v0: real] :  ! [v1: real] :  ! [v2:
% 268.07/41.70  |            fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_real] :  ! [v5:
% 268.07/41.70  |            fun_nat_real] :  ! [v6: real] :  ! [v7: real] : ( ~
% 268.07/41.70  |            (plus_plus_real(v3) = v4) |  ~ (power_power_real(v1) = v5) |  ~
% 268.07/41.70  |            (power_power_real(v0) = v2) |  ~ (hAPP_nat_real(v5, all_1229_0) =
% 268.07/41.70  |              v6) |  ~ (hAPP_nat_real(v2, all_1229_0) = v3) |  ~
% 268.07/41.70  |            (hAPP_real_real(v4, v6) = v7) |  ~ real(v1) |  ~ real(v0) |  ? [v8:
% 268.07/41.70  |              bool] : (hAPP_real_bool(all_1229_3, v7) = v8 & hBOOL(v8) = 0 &
% 268.07/41.70  |              bool(v8)) | (v1 = zero_zero_real & v0 = zero_zero_real)) &  !
% 268.07/41.70  |          [v0: fun_nat_real] :  ! [v1: real] :  ! [v2: fun_real_real] :  ! [v3:
% 268.07/41.70  |            real] : ( ~ (plus_plus_real(v1) = v2) |  ~
% 268.07/41.70  |            (power_power_real(zero_zero_real) = v0) |  ~ (hAPP_nat_real(v0,
% 268.07/41.70  |                all_1229_0) = v1) |  ~ (hAPP_real_real(v2, v1) = v3) |  ? [v4:
% 268.07/41.70  |              bool] :  ? [v5: int] : ( ~ (v5 = 0) & hAPP_real_bool(all_1229_3,
% 268.07/41.70  |                v3) = v4 & hBOOL(v4) = v5 & bool(v4)))
% 268.07/41.70  | 
% 268.07/41.70  | ALPHA: (439) implies:
% 268.07/41.70  |   (440)  number_number_of_nat(all_1229_1) = all_1229_0
% 268.07/41.70  |   (441)  bit0(all_1229_2) = all_1229_1
% 268.07/41.70  |   (442)  bit1(pls) = all_1229_2
% 268.07/41.70  | 
% 268.07/41.70  | DELTA: instantiating (25) with fresh symbol all_1235_0 gives:
% 268.07/41.70  |   (443)  bit1(pls) = all_1235_0 & int(all_1235_0) &  ! [v0: int] :  ! [v1:
% 268.07/41.70  |            fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v1)
% 268.07/41.70  |            |  ~ int(v0) |  ? [v2: bool] :  ? [v3: any] :  ? [v4: real] :  ?
% 268.07/41.70  |            [v5: fun_real_bool] :  ? [v6: bool] :  ? [v7: any] :
% 268.07/41.70  |            (hAPP_r1134773055l_bool(ord_less_real, v4) = v5 &
% 268.07/41.70  |              hAPP_real_bool(v5, one_one_real) = v6 & number267125858f_real(v0)
% 268.07/41.70  |              = v4 & hAPP_int_bool(v1, all_1235_0) = v2 & hBOOL(v6) = v7 &
% 268.07/41.70  |              hBOOL(v2) = v3 & fun_real_bool(v5) & real(v4) & bool(v6) &
% 268.07/41.70  |              bool(v2) & ( ~ (v3 = 0) | v7 = 0))) &  ! [v0: int] :  ! [v1:
% 268.07/41.70  |            fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v1)
% 268.07/41.70  |            |  ~ int(v0) |  ? [v2: real] :  ? [v3: fun_real_bool] :  ? [v4:
% 268.07/41.70  |              bool] :  ? [v5: any] :  ? [v6: bool] :  ? [v7: any] :
% 268.07/41.70  |            (hAPP_r1134773055l_bool(ord_less_real, v2) = v3 &
% 268.07/41.70  |              hAPP_real_bool(v3, one_one_real) = v4 & number267125858f_real(v0)
% 268.07/41.70  |              = v2 & hAPP_int_bool(v1, all_1235_0) = v6 & hBOOL(v6) = v7 &
% 268.07/41.70  |              hBOOL(v4) = v5 & fun_real_bool(v3) & real(v2) & bool(v6) &
% 268.07/41.70  |              bool(v4) & ( ~ (v5 = 0) | v7 = 0)))
% 268.07/41.70  | 
% 268.07/41.70  | ALPHA: (443) implies:
% 268.07/41.70  |   (444)  bit1(pls) = all_1235_0
% 268.07/41.70  | 
% 268.07/41.70  | DELTA: instantiating (24) with fresh symbol all_1238_0 gives:
% 268.07/41.70  |   (445)  bit1(pls) = all_1238_0 & int(all_1238_0) &  ! [v0: int] :  ! [v1:
% 268.07/41.70  |            fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v1)
% 268.07/41.70  |            |  ~ int(v0) |  ? [v2: bool] :  ? [v3: any] :  ? [v4: int] :  ?
% 268.07/41.70  |            [v5: fun_int_bool] :  ? [v6: bool] :  ? [v7: any] :
% 268.07/41.70  |            (number_number_of_int(v0) = v4 &
% 268.07/41.70  |              hAPP_i1948725293t_bool(ord_less_int, v4) = v5 & hAPP_int_bool(v5,
% 268.07/41.70  |                one_one_int) = v6 & hAPP_int_bool(v1, all_1238_0) = v2 &
% 268.07/41.70  |              hBOOL(v6) = v7 & hBOOL(v2) = v3 & fun_int_bool(v5) & int(v4) &
% 268.07/41.70  |              bool(v6) & bool(v2) & ( ~ (v3 = 0) | v7 = 0))) &  ! [v0: int] : 
% 268.07/41.70  |          ! [v1: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0)
% 268.07/41.70  |              = v1) |  ~ int(v0) |  ? [v2: int] :  ? [v3: fun_int_bool] :  ?
% 268.07/41.70  |            [v4: bool] :  ? [v5: any] :  ? [v6: bool] :  ? [v7: any] :
% 268.07/41.70  |            (number_number_of_int(v0) = v2 &
% 268.07/41.70  |              hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & hAPP_int_bool(v3,
% 268.07/41.70  |                one_one_int) = v4 & hAPP_int_bool(v1, all_1238_0) = v6 &
% 268.07/41.70  |              hBOOL(v6) = v7 & hBOOL(v4) = v5 & fun_int_bool(v3) & int(v2) &
% 268.07/41.70  |              bool(v6) & bool(v4) & ( ~ (v5 = 0) | v7 = 0)))
% 268.07/41.70  | 
% 268.07/41.70  | ALPHA: (445) implies:
% 268.07/41.70  |   (446)  bit1(pls) = all_1238_0
% 268.07/41.70  | 
% 268.07/41.70  | DELTA: instantiating (71) with fresh symbol all_1241_0 gives:
% 268.07/41.70  |   (447)  bit1(pls) = all_1241_0 & int(all_1241_0) &  ! [v0: int] :  ! [v1:
% 268.07/41.70  |            fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 268.07/41.70  |              v1) |  ~ int(v0) |  ? [v2: bool] :  ? [v3: any] :  ? [v4: real] :
% 268.07/41.70  |             ? [v5: fun_real_bool] :  ? [v6: bool] :  ? [v7: any] :
% 268.07/41.70  |            (hAPP_r1134773055l_bool(ord_less_eq_real, v4) = v5 &
% 268.07/41.70  |              hAPP_real_bool(v5, one_one_real) = v6 & number267125858f_real(v0)
% 268.07/41.70  |              = v4 & hAPP_int_bool(v1, all_1241_0) = v2 & hBOOL(v6) = v7 &
% 268.07/41.70  |              hBOOL(v2) = v3 & fun_real_bool(v5) & real(v4) & bool(v6) &
% 268.07/41.70  |              bool(v2) & ( ~ (v3 = 0) | v7 = 0))) &  ! [v0: int] :  ! [v1:
% 268.07/41.70  |            fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 268.07/41.70  |              v1) |  ~ int(v0) |  ? [v2: real] :  ? [v3: fun_real_bool] :  ?
% 268.07/41.70  |            [v4: bool] :  ? [v5: any] :  ? [v6: bool] :  ? [v7: any] :
% 268.07/41.70  |            (hAPP_r1134773055l_bool(ord_less_eq_real, v2) = v3 &
% 268.07/41.70  |              hAPP_real_bool(v3, one_one_real) = v4 & number267125858f_real(v0)
% 268.07/41.70  |              = v2 & hAPP_int_bool(v1, all_1241_0) = v6 & hBOOL(v6) = v7 &
% 268.07/41.70  |              hBOOL(v4) = v5 & fun_real_bool(v3) & real(v2) & bool(v6) &
% 268.07/41.70  |              bool(v4) & ( ~ (v5 = 0) | v7 = 0)))
% 268.07/41.70  | 
% 268.07/41.70  | ALPHA: (447) implies:
% 268.07/41.70  |   (448)  bit1(pls) = all_1241_0
% 268.07/41.70  | 
% 268.07/41.70  | DELTA: instantiating (72) with fresh symbol all_1244_0 gives:
% 268.07/41.70  |   (449)  bit1(pls) = all_1244_0 & int(all_1244_0) &  ! [v0: int] :  ! [v1:
% 268.07/41.70  |            fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 268.07/41.70  |              v1) |  ~ int(v0) |  ? [v2: bool] :  ? [v3: any] :  ? [v4: int] : 
% 268.07/41.70  |            ? [v5: fun_int_bool] :  ? [v6: bool] :  ? [v7: any] :
% 268.07/41.70  |            (number_number_of_int(v0) = v4 &
% 268.07/41.70  |              hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5 &
% 268.07/41.70  |              hAPP_int_bool(v5, one_one_int) = v6 & hAPP_int_bool(v1,
% 268.07/41.70  |                all_1244_0) = v2 & hBOOL(v6) = v7 & hBOOL(v2) = v3 &
% 268.07/41.70  |              fun_int_bool(v5) & int(v4) & bool(v6) & bool(v2) & ( ~ (v3 = 0) |
% 268.07/41.70  |                v7 = 0))) &  ! [v0: int] :  ! [v1: fun_int_bool] : ( ~
% 268.07/41.70  |            (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v1) |  ~ int(v0) | 
% 268.07/41.70  |            ? [v2: int] :  ? [v3: fun_int_bool] :  ? [v4: bool] :  ? [v5: any]
% 268.07/41.70  |            :  ? [v6: bool] :  ? [v7: any] : (number_number_of_int(v0) = v2 &
% 268.07/41.70  |              hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v3 &
% 268.07/41.70  |              hAPP_int_bool(v3, one_one_int) = v4 & hAPP_int_bool(v1,
% 268.07/41.70  |                all_1244_0) = v6 & hBOOL(v6) = v7 & hBOOL(v4) = v5 &
% 268.07/41.70  |              fun_int_bool(v3) & int(v2) & bool(v6) & bool(v4) & ( ~ (v5 = 0) |
% 268.07/41.70  |                v7 = 0)))
% 268.07/41.70  | 
% 268.07/41.70  | ALPHA: (449) implies:
% 268.07/41.70  |   (450)  bit1(pls) = all_1244_0
% 268.07/41.70  | 
% 268.07/41.70  | DELTA: instantiating (99) with fresh symbols all_1249_0, all_1249_1,
% 268.07/41.70  |        all_1249_2 gives:
% 268.07/41.70  |   (451)  bit1(pls) = all_1249_2 & bit0(all_1249_2) = all_1249_1 &
% 268.07/41.70  |          number_number_of_nat(all_1249_1) = all_1249_0 & nat(all_1249_0) &
% 268.07/41.70  |          int(all_1249_1) & int(all_1249_2) &  ! [v0: real] :  ! [v1: real] : 
% 268.07/41.70  |          ! [v2: fun_nat_real] :  ! [v3: real] :  ! [v4: fun_real_real] :  !
% 268.07/41.70  |          [v5: fun_nat_real] :  ! [v6: real] :  ! [v7: real] : ( ~
% 268.07/41.70  |            (plus_plus_real(v3) = v4) |  ~ (power_power_real(v1) = v5) |  ~
% 268.07/41.70  |            (power_power_real(v0) = v2) |  ~ (hAPP_nat_real(v5, all_1249_0) =
% 268.07/41.70  |              v6) |  ~ (hAPP_nat_real(v2, all_1249_0) = v3) |  ~
% 268.07/41.70  |            (hAPP_real_real(v4, v6) = v7) |  ~ real(v1) |  ~ real(v0) |  ? [v8:
% 268.07/41.70  |              fun_real_bool] :  ? [v9: bool] :  ? [v10: int] : ( ~ (v10 = 0) &
% 268.07/41.70  |              hAPP_r1134773055l_bool(ord_less_eq_real, v7) = v8 &
% 268.07/41.70  |              hAPP_real_bool(v8, zero_zero_real) = v9 & hBOOL(v9) = v10 &
% 268.07/41.70  |              fun_real_bool(v8) & bool(v9)) | (v1 = zero_zero_real & v0 =
% 268.07/41.70  |              zero_zero_real)) &  ! [v0: fun_nat_real] :  ! [v1: real] :  !
% 268.07/41.70  |          [v2: fun_real_real] :  ! [v3: real] : ( ~ (plus_plus_real(v1) = v2) |
% 268.07/41.70  |             ~ (power_power_real(zero_zero_real) = v0) |  ~ (hAPP_nat_real(v0,
% 268.07/41.70  |                all_1249_0) = v1) |  ~ (hAPP_real_real(v2, v1) = v3) |  ? [v4:
% 268.07/41.70  |              fun_real_bool] :  ? [v5: bool] :
% 268.07/41.70  |            (hAPP_r1134773055l_bool(ord_less_eq_real, v3) = v4 &
% 268.07/41.70  |              hAPP_real_bool(v4, zero_zero_real) = v5 & hBOOL(v5) = 0 &
% 268.07/41.70  |              fun_real_bool(v4) & bool(v5)))
% 268.07/41.70  | 
% 268.07/41.70  | ALPHA: (451) implies:
% 268.07/41.70  |   (452)  number_number_of_nat(all_1249_1) = all_1249_0
% 268.07/41.70  |   (453)  bit0(all_1249_2) = all_1249_1
% 268.07/41.70  |   (454)  bit1(pls) = all_1249_2
% 268.07/41.70  | 
% 268.07/41.70  | DELTA: instantiating (100) with fresh symbols all_1254_0, all_1254_1,
% 268.07/41.70  |        all_1254_2 gives:
% 268.07/41.71  |   (455)  bit1(pls) = all_1254_2 & bit0(all_1254_2) = all_1254_1 &
% 268.07/41.71  |          number_number_of_nat(all_1254_1) = all_1254_0 & nat(all_1254_0) &
% 268.07/41.71  |          int(all_1254_1) & int(all_1254_2) &  ! [v0: int] :  ! [v1: int] :  !
% 268.07/41.71  |          [v2: fun_nat_int] :  ! [v3: int] :  ! [v4: fun_int_int] :  ! [v5:
% 268.07/41.71  |            fun_nat_int] :  ! [v6: int] :  ! [v7: int] : ( ~
% 268.07/41.71  |            (power_power_int(v1) = v5) |  ~ (power_power_int(v0) = v2) |  ~
% 268.07/41.71  |            (plus_plus_int(v3) = v4) |  ~ (hAPP_nat_int(v5, all_1254_0) = v6) |
% 268.07/41.71  |             ~ (hAPP_nat_int(v2, all_1254_0) = v3) |  ~ (hAPP_int_int(v4, v6) =
% 268.07/41.71  |              v7) |  ~ int(v1) |  ~ int(v0) |  ? [v8: fun_int_bool] :  ? [v9:
% 268.07/41.71  |              bool] :  ? [v10: int] : ( ~ (v10 = 0) &
% 268.07/41.71  |              hAPP_i1948725293t_bool(ord_less_eq_int, v7) = v8 &
% 268.07/41.71  |              hAPP_int_bool(v8, zero_zero_int) = v9 & hBOOL(v9) = v10 &
% 268.07/41.71  |              fun_int_bool(v8) & bool(v9)) | (v1 = zero_zero_int & v0 =
% 268.07/41.71  |              zero_zero_int)) &  ! [v0: fun_nat_int] :  ! [v1: int] :  ! [v2:
% 268.07/41.71  |            fun_int_int] :  ! [v3: int] : ( ~ (power_power_int(zero_zero_int) =
% 268.07/41.71  |              v0) |  ~ (plus_plus_int(v1) = v2) |  ~ (hAPP_nat_int(v0,
% 268.07/41.71  |                all_1254_0) = v1) |  ~ (hAPP_int_int(v2, v1) = v3) |  ? [v4:
% 268.07/41.71  |              fun_int_bool] :  ? [v5: bool] :
% 268.07/41.71  |            (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4 &
% 268.07/41.71  |              hAPP_int_bool(v4, zero_zero_int) = v5 & hBOOL(v5) = 0 &
% 268.07/41.71  |              fun_int_bool(v4) & bool(v5)))
% 268.07/41.71  | 
% 268.07/41.71  | ALPHA: (455) implies:
% 268.07/41.71  |   (456)  number_number_of_nat(all_1254_1) = all_1254_0
% 268.07/41.71  |   (457)  bit0(all_1254_2) = all_1254_1
% 268.07/41.71  |   (458)  bit1(pls) = all_1254_2
% 268.07/41.71  | 
% 268.07/41.71  | DELTA: instantiating (28) with fresh symbol all_1260_0 gives:
% 268.07/41.71  |   (459)  plus_plus_int(one_one_int) = all_1260_0 & fun_int_int(all_1260_0) & 
% 268.07/41.71  |          ! [v0: int] :  ! [v1: int] :  ! [v2: fun_int_int] :  ! [v3: int] : (
% 268.07/41.71  |            ~ (plus_plus_int(v1) = v2) |  ~ (hAPP_int_int(v2, v0) = v3) |  ~
% 268.07/41.71  |            (hAPP_int_int(all_1260_0, v0) = v1) |  ~ int(v0) |  ? [v4:
% 268.07/41.71  |              fun_int_bool] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 268.07/41.71  |              fun_int_bool] :  ? [v8: bool] :  ? [v9: any] :
% 268.07/41.71  |            (hAPP_i1948725293t_bool(ord_less_int, v3) = v7 &
% 268.07/41.71  |              hAPP_i1948725293t_bool(ord_less_int, v0) = v4 & hAPP_int_bool(v7,
% 268.07/41.71  |                zero_zero_int) = v8 & hAPP_int_bool(v4, zero_zero_int) = v5 &
% 268.07/41.71  |              hBOOL(v8) = v9 & hBOOL(v5) = v6 & fun_int_bool(v7) &
% 268.07/41.71  |              fun_int_bool(v4) & bool(v8) & bool(v5) & ( ~ (v6 = 0) | v9 = 0)))
% 268.07/41.71  |          &  ! [v0: int] :  ! [v1: int] :  ! [v2: fun_int_int] :  ! [v3: int] :
% 268.07/41.71  |          ( ~ (plus_plus_int(v1) = v2) |  ~ (hAPP_int_int(v2, v0) = v3) |  ~
% 268.07/41.71  |            (hAPP_int_int(all_1260_0, v0) = v1) |  ~ int(v0) |  ? [v4:
% 268.07/41.71  |              fun_int_bool] :  ? [v5: bool] :  ? [v6: any] :  ? [v7:
% 268.07/41.71  |              fun_int_bool] :  ? [v8: bool] :  ? [v9: any] :
% 268.07/41.71  |            (hAPP_i1948725293t_bool(ord_less_int, v3) = v4 &
% 268.07/41.71  |              hAPP_i1948725293t_bool(ord_less_int, v0) = v7 & hAPP_int_bool(v7,
% 268.07/41.71  |                zero_zero_int) = v8 & hAPP_int_bool(v4, zero_zero_int) = v5 &
% 268.07/41.71  |              hBOOL(v8) = v9 & hBOOL(v5) = v6 & fun_int_bool(v7) &
% 268.07/41.71  |              fun_int_bool(v4) & bool(v8) & bool(v5) & ( ~ (v6 = 0) | v9 = 0)))
% 268.07/41.71  | 
% 268.07/41.71  | ALPHA: (459) implies:
% 268.07/41.71  |   (460)  plus_plus_int(one_one_int) = all_1260_0
% 268.07/41.71  | 
% 268.07/41.71  | DELTA: instantiating (57) with fresh symbol all_1266_0 gives:
% 268.07/41.71  |   (461)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_1266_0 &
% 268.07/41.71  |          fun_int_bool(all_1266_0) &  ! [v0: int] :  ! [v1: int] :  ! [v2: nat]
% 268.07/41.71  |          :  ! [v3: fun_nat_bool] :  ! [v4: nat] :  ! [v5: bool] : ( ~
% 268.07/41.71  |            (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) |  ~
% 268.07/41.71  |            (hAPP_nat_bool(v3, v4) = v5) |  ~ (number_number_of_nat(v1) = v4) |
% 268.07/41.71  |             ~ (number_number_of_nat(v0) = v2) |  ~ int(v1) |  ~ int(v0) |  ?
% 268.07/41.71  |            [v6: any] :  ? [v7: fun_int_bool] :  ? [v8: bool] :  ? [v9: any] : 
% 268.07/41.71  |            ? [v10: bool] :  ? [v11: any] :
% 268.07/41.71  |            (hAPP_i1948725293t_bool(ord_less_int, v0) = v7 & hAPP_int_bool(v7,
% 268.07/41.71  |                v1) = v8 & hAPP_int_bool(all_1266_0, v1) = v10 & hBOOL(v10) =
% 268.07/41.71  |              v11 & hBOOL(v8) = v9 & hBOOL(v5) = v6 & fun_int_bool(v7) &
% 268.07/41.71  |              bool(v10) & bool(v8) & ( ~ (v6 = 0) | (v11 = 0 & v9 = 0)))) &  !
% 268.07/41.71  |          [v0: int] :  ! [v1: int] :  ! [v2: nat] :  ! [v3: fun_nat_bool] :  !
% 268.07/41.71  |          [v4: nat] :  ! [v5: bool] : ( ~ (hAPP_n1699378549t_bool(ord_less_nat,
% 268.07/41.71  |                v2) = v3) |  ~ (hAPP_nat_bool(v3, v4) = v5) |  ~
% 268.07/41.71  |            (number_number_of_nat(v1) = v4) |  ~ (number_number_of_nat(v0) =
% 268.07/41.71  |              v2) |  ~ int(v1) |  ~ int(v0) |  ? [v6: fun_int_bool] :  ? [v7:
% 268.07/41.71  |              bool] :  ? [v8: any] :  ? [v9: bool] :  ? [v10: any] :  ? [v11:
% 268.07/41.71  |              any] : (hAPP_i1948725293t_bool(ord_less_int, v0) = v6 &
% 268.07/41.71  |              hAPP_int_bool(v6, v1) = v7 & hAPP_int_bool(all_1266_0, v1) = v9 &
% 268.07/41.71  |              hBOOL(v9) = v10 & hBOOL(v7) = v8 & hBOOL(v5) = v11 &
% 268.07/41.71  |              fun_int_bool(v6) & bool(v9) & bool(v7) & ( ~ (v10 = 0) |  ~ (v8 =
% 268.07/41.71  |                  0) | v11 = 0)))
% 268.07/41.71  | 
% 268.07/41.71  | ALPHA: (461) implies:
% 268.07/41.71  |   (462)  hAPP_i1948725293t_bool(ord_less_int, pls) = all_1266_0
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (156) imply:
% 268.07/41.71  |   (463)  number_number_of_int(zero_zero_int) = all_602_1
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (154) imply:
% 268.07/41.71  |   (464)  number_number_of_int(zero_zero_int) = all_599_1
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (142) imply:
% 268.07/41.71  |   (465)  number_number_of_int(zero_zero_int) = all_488_0
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (30) imply:
% 268.07/41.71  |   (466)  number_number_of_int(zero_zero_int) = zero_zero_int
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (458) imply:
% 268.07/41.71  |   (467)  bit1(zero_zero_int) = all_1254_2
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (454) imply:
% 268.07/41.71  |   (468)  bit1(zero_zero_int) = all_1249_2
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (450) imply:
% 268.07/41.71  |   (469)  bit1(zero_zero_int) = all_1244_0
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (448) imply:
% 268.07/41.71  |   (470)  bit1(zero_zero_int) = all_1241_0
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (446) imply:
% 268.07/41.71  |   (471)  bit1(zero_zero_int) = all_1238_0
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (444) imply:
% 268.07/41.71  |   (472)  bit1(zero_zero_int) = all_1235_0
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (442) imply:
% 268.07/41.71  |   (473)  bit1(zero_zero_int) = all_1229_2
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (438) imply:
% 268.07/41.71  |   (474)  bit1(zero_zero_int) = all_1226_2
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (433) imply:
% 268.07/41.71  |   (475)  bit1(zero_zero_int) = all_1208_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (429) imply:
% 268.07/41.71  |   (476)  bit1(zero_zero_int) = all_1205_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (425) imply:
% 268.07/41.71  |   (477)  bit1(zero_zero_int) = all_1199_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (421) imply:
% 268.07/41.71  |   (478)  bit1(zero_zero_int) = all_1193_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (417) imply:
% 268.07/41.71  |   (479)  bit1(zero_zero_int) = all_1187_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (413) imply:
% 268.07/41.71  |   (480)  bit1(zero_zero_int) = all_1181_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (407) imply:
% 268.07/41.71  |   (481)  bit1(zero_zero_int) = all_1175_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (403) imply:
% 268.07/41.71  |   (482)  bit1(zero_zero_int) = all_1166_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (399) imply:
% 268.07/41.71  |   (483)  bit1(zero_zero_int) = all_1163_1
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (395) imply:
% 268.07/41.71  |   (484)  bit1(zero_zero_int) = all_1151_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (391) imply:
% 268.07/41.71  |   (485)  bit1(zero_zero_int) = all_1142_1
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (389) imply:
% 268.07/41.71  |   (486)  bit1(zero_zero_int) = all_1139_3
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (385) imply:
% 268.07/41.71  |   (487)  bit1(zero_zero_int) = all_1127_1
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (383) imply:
% 268.07/41.71  |   (488)  bit1(zero_zero_int) = all_1124_1
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (368) imply:
% 268.07/41.71  |   (489)  bit1(zero_zero_int) = all_1067_2
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (364) imply:
% 268.07/41.71  |   (490)  bit1(zero_zero_int) = all_1064_2
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (357) imply:
% 268.07/41.71  |   (491)  bit1(zero_zero_int) = all_977_2
% 268.07/41.71  | 
% 268.07/41.71  | REDUCE: (29), (353) imply:
% 268.07/41.72  |   (492)  bit1(zero_zero_int) = all_971_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (346) imply:
% 268.07/41.72  |   (493)  bit1(zero_zero_int) = all_965_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (342) imply:
% 268.07/41.72  |   (494)  bit1(zero_zero_int) = all_959_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (338) imply:
% 268.07/41.72  |   (495)  bit1(zero_zero_int) = all_950_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (332) imply:
% 268.07/41.72  |   (496)  bit1(zero_zero_int) = all_944_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (324) imply:
% 268.07/41.72  |   (497)  bit1(zero_zero_int) = all_911_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (316) imply:
% 268.07/41.72  |   (498)  bit1(zero_zero_int) = all_872_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (312) imply:
% 268.07/41.72  |   (499)  bit1(zero_zero_int) = all_869_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (308) imply:
% 268.07/41.72  |   (500)  bit1(zero_zero_int) = all_866_4
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (300) imply:
% 268.07/41.72  |   (501)  bit1(zero_zero_int) = all_815_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (293) imply:
% 268.07/41.72  |   (502)  bit1(zero_zero_int) = all_803_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (289) imply:
% 268.07/41.72  |   (503)  bit1(zero_zero_int) = all_795_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (280) imply:
% 268.07/41.72  |   (504)  bit1(zero_zero_int) = all_792_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (276) imply:
% 268.07/41.72  |   (505)  bit1(zero_zero_int) = all_789_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (272) imply:
% 268.07/41.72  |   (506)  bit1(zero_zero_int) = all_786_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (269) imply:
% 268.07/41.72  |   (507)  bit1(zero_zero_int) = all_783_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (265) imply:
% 268.07/41.72  |   (508)  bit1(zero_zero_int) = all_771_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (259) imply:
% 268.07/41.72  |   (509)  bit1(zero_zero_int) = all_759_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (256) imply:
% 268.07/41.72  |   (510)  bit1(zero_zero_int) = all_753_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (253) imply:
% 268.07/41.72  |   (511)  bit1(zero_zero_int) = all_741_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (251) imply:
% 268.07/41.72  |   (512)  bit1(zero_zero_int) = all_738_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (247) imply:
% 268.07/41.72  |   (513)  bit1(zero_zero_int) = all_732_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (244) imply:
% 268.07/41.72  |   (514)  bit1(zero_zero_int) = all_729_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (242) imply:
% 268.07/41.72  |   (515)  bit1(zero_zero_int) = all_723_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (238) imply:
% 268.07/41.72  |   (516)  bit1(zero_zero_int) = all_721_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (236) imply:
% 268.07/41.72  |   (517)  bit1(zero_zero_int) = all_716_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (223) imply:
% 268.07/41.72  |   (518)  bit1(zero_zero_int) = all_703_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (215) imply:
% 268.07/41.72  |   (519)  bit1(zero_zero_int) = all_699_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (211) imply:
% 268.07/41.72  |   (520)  bit1(zero_zero_int) = all_697_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (207) imply:
% 268.07/41.72  |   (521)  bit1(zero_zero_int) = all_695_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (201) imply:
% 268.07/41.72  |   (522)  bit1(zero_zero_int) = all_689_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (197) imply:
% 268.07/41.72  |   (523)  bit1(zero_zero_int) = all_687_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (193) imply:
% 268.07/41.72  |   (524)  bit1(zero_zero_int) = all_685_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (189) imply:
% 268.07/41.72  |   (525)  bit1(zero_zero_int) = all_683_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (185) imply:
% 268.07/41.72  |   (526)  bit1(zero_zero_int) = all_681_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (181) imply:
% 268.07/41.72  |   (527)  bit1(zero_zero_int) = all_676_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (178) imply:
% 268.07/41.72  |   (528)  bit1(zero_zero_int) = all_674_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (174) imply:
% 268.07/41.72  |   (529)  bit1(zero_zero_int) = all_672_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (170) imply:
% 268.07/41.72  |   (530)  bit1(zero_zero_int) = all_667_3
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (168) imply:
% 268.07/41.72  |   (531)  bit1(zero_zero_int) = all_662_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (163) imply:
% 268.07/41.72  |   (532)  bit1(zero_zero_int) = all_657_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (139) imply:
% 268.07/41.72  |   (533)  bit1(zero_zero_int) = all_484_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (137) imply:
% 268.07/41.72  |   (534)  bit1(zero_zero_int) = all_482_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (135) imply:
% 268.07/41.72  |   (535)  bit1(zero_zero_int) = all_480_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (133) imply:
% 268.07/41.72  |   (536)  bit1(zero_zero_int) = all_478_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (131) imply:
% 268.07/41.72  |   (537)  bit1(zero_zero_int) = all_476_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (129) imply:
% 268.07/41.72  |   (538)  bit1(zero_zero_int) = all_474_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (127) imply:
% 268.07/41.72  |   (539)  bit1(zero_zero_int) = all_471_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (125) imply:
% 268.07/41.72  |   (540)  bit1(zero_zero_int) = all_469_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (123) imply:
% 268.07/41.72  |   (541)  bit1(zero_zero_int) = all_467_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (121) imply:
% 268.07/41.72  |   (542)  bit1(zero_zero_int) = all_465_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (119) imply:
% 268.07/41.72  |   (543)  bit1(zero_zero_int) = all_463_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (462) imply:
% 268.07/41.72  |   (544)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1266_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (381) imply:
% 268.07/41.72  |   (545)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1115_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (379) imply:
% 268.07/41.72  |   (546)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1106_1
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (377) imply:
% 268.07/41.72  |   (547)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1097_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (371) imply:
% 268.07/41.72  |   (548)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1076_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (359) imply:
% 268.07/41.72  |   (549)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_989_0
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (152) imply:
% 268.07/41.72  |   (550)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_591_2
% 268.07/41.72  | 
% 268.07/41.72  | REDUCE: (29), (150) imply:
% 268.07/41.72  |   (551)  hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_577_2
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (116) with all_714_2, all_795_5, n,
% 268.07/41.72  |              semiri1621563631at_int, simplifying with (231), (283) gives:
% 268.07/41.72  |   (552)  all_795_5 = all_714_2
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (116) with all_701_2, all_795_5, n,
% 268.07/41.72  |              semiri1621563631at_int, simplifying with (218), (283) gives:
% 268.07/41.72  |   (553)  all_795_5 = all_701_2
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_687_3, all_689_3, one_one_int,
% 268.07/41.72  |              simplifying with (195), (199) gives:
% 268.07/41.72  |   (554)  all_689_3 = all_687_3
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_637_0, all_689_3, one_one_int,
% 268.07/41.72  |              simplifying with (158), (199) gives:
% 268.07/41.72  |   (555)  all_689_3 = all_637_0
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_574_0, all_689_3, one_one_int,
% 268.07/41.72  |              simplifying with (148), (199) gives:
% 268.07/41.72  |   (556)  all_689_3 = all_574_0
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_691_2, all_708_0, one_one_int,
% 268.07/41.72  |              simplifying with (203), (225) gives:
% 268.07/41.72  |   (557)  all_708_0 = all_691_2
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_689_3, all_708_0, one_one_int,
% 268.07/41.72  |              simplifying with (199), (225) gives:
% 268.07/41.72  |   (558)  all_708_0 = all_689_3
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_646_0, all_708_0, one_one_int,
% 268.07/41.72  |              simplifying with (160), (225) gives:
% 268.07/41.72  |   (559)  all_708_0 = all_646_0
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_708_0, all_714_3, one_one_int,
% 268.07/41.72  |              simplifying with (225), (232) gives:
% 268.07/41.72  |   (560)  all_714_3 = all_708_0
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_714_3, all_732_2, one_one_int,
% 268.07/41.72  |              simplifying with (232), (246) gives:
% 268.07/41.72  |   (561)  all_732_2 = all_714_3
% 268.07/41.72  | 
% 268.07/41.72  | GROUND_INST: instantiating (110) with all_732_2, all_795_6, one_one_int,
% 268.07/41.72  |              simplifying with (246), (285) gives:
% 268.07/41.73  |   (562)  all_795_6 = all_732_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (110) with all_795_6, all_806_0, one_one_int,
% 268.07/41.73  |              simplifying with (285), (295) gives:
% 268.07/41.73  |   (563)  all_806_0 = all_795_6
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (110) with all_806_0, all_818_0, one_one_int,
% 268.07/41.73  |              simplifying with (295), (302) gives:
% 268.07/41.73  |   (564)  all_818_0 = all_806_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (110) with all_818_0, all_1260_0, one_one_int,
% 268.07/41.73  |              simplifying with (302), (460) gives:
% 268.07/41.73  |   (565)  all_1260_0 = all_818_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (110) with all_701_3, all_1260_0, one_one_int,
% 268.07/41.73  |              simplifying with (219), (460) gives:
% 268.07/41.73  |   (566)  all_1260_0 = all_701_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_577_2, all_591_2, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (550), (551) gives:
% 268.07/41.73  |   (567)  all_591_2 = all_577_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_591_2, all_691_3, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (204), (550) gives:
% 268.07/41.73  |   (568)  all_691_3 = all_591_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_691_3, all_714_4, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (204), (233) gives:
% 268.07/41.73  |   (569)  all_714_4 = all_691_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_714_4, all_735_1, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (233), (249) gives:
% 268.07/41.73  |   (570)  all_735_1 = all_714_4
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_735_1, all_762_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (249), (261) gives:
% 268.07/41.73  |   (571)  all_762_0 = all_735_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_762_0, all_806_1, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (261), (296) gives:
% 268.07/41.73  |   (572)  all_806_1 = all_762_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_806_1, all_836_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (296), (304) gives:
% 268.07/41.73  |   (573)  all_836_0 = all_806_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_836_0, all_878_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (304), (318) gives:
% 268.07/41.73  |   (574)  all_878_0 = all_836_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_878_0, all_929_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (318), (326) gives:
% 268.07/41.73  |   (575)  all_929_0 = all_878_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_577_2, all_935_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (328), (551) gives:
% 268.07/41.73  |   (576)  all_935_0 = all_577_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_929_0, all_947_1, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (326), (334) gives:
% 268.07/41.73  |   (577)  all_947_1 = all_929_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_947_1, all_968_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (334), (348) gives:
% 268.07/41.73  |   (578)  all_968_0 = all_947_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_968_0, all_989_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (348), (549) gives:
% 268.07/41.73  |   (579)  all_989_0 = all_968_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_989_0, all_1064_3, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (361), (549) gives:
% 268.07/41.73  |   (580)  all_1064_3 = all_989_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1064_3, all_1076_1, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (361), (370) gives:
% 268.07/41.73  |   (581)  all_1076_1 = all_1064_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1076_1, all_1076_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (370), (548) gives:
% 268.07/41.73  |   (582)  all_1076_0 = all_1076_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_935_0, all_1088_1, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (328), (373) gives:
% 268.07/41.73  |   (583)  all_1088_1 = all_935_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1076_0, all_1091_1, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (375), (548) gives:
% 268.07/41.73  |   (584)  all_1091_1 = all_1076_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1091_1, all_1097_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (375), (547) gives:
% 268.07/41.73  |   (585)  all_1097_0 = all_1091_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1088_1, all_1106_1, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (373), (546) gives:
% 268.07/41.73  |   (586)  all_1106_1 = all_1088_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1097_0, all_1115_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (545), (547) gives:
% 268.07/41.73  |   (587)  all_1115_0 = all_1097_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1115_0, all_1160_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (397), (545) gives:
% 268.07/41.73  |   (588)  all_1160_0 = all_1115_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1106_1, all_1178_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (409), (546) gives:
% 268.07/41.73  |   (589)  all_1178_0 = all_1106_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1160_0, all_1226_3, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (397), (435) gives:
% 268.07/41.73  |   (590)  all_1226_3 = all_1160_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_563_1, all_1226_3, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (146), (435) gives:
% 268.07/41.73  |   (591)  all_1226_3 = all_563_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_1178_0, all_1266_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (409), (544) gives:
% 268.07/41.73  |   (592)  all_1266_0 = all_1178_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (117) with all_549_1, all_1266_0, zero_zero_int,
% 268.07/41.73  |              ord_less_int, simplifying with (144), (544) gives:
% 268.07/41.73  |   (593)  all_1266_0 = all_549_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_467_0, all_478_0, zero_zero_int,
% 268.07/41.73  |              simplifying with (536), (541) gives:
% 268.07/41.73  |   (594)  all_478_0 = all_467_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_482_0, all_657_1, zero_zero_int,
% 268.07/41.73  |              simplifying with (532), (534) gives:
% 268.07/41.73  |   (595)  all_657_1 = all_482_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_657_1, all_662_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (531), (532) gives:
% 268.07/41.73  |   (596)  all_662_2 = all_657_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_467_0, all_674_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (528), (541) gives:
% 268.07/41.73  |   (597)  all_674_2 = all_467_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_674_2, all_683_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (525), (528) gives:
% 268.07/41.73  |   (598)  all_683_2 = all_674_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_667_3, all_687_1, zero_zero_int,
% 268.07/41.73  |              simplifying with (523), (530) gives:
% 268.07/41.73  |   (599)  all_687_1 = all_667_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_672_1, all_697_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (520), (529) gives:
% 268.07/41.73  |   (600)  all_697_2 = all_672_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_687_1, all_699_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (519), (523) gives:
% 268.07/41.73  |   (601)  all_699_2 = all_687_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_699_2, all_703_3, zero_zero_int,
% 268.07/41.73  |              simplifying with (518), (519) gives:
% 268.07/41.73  |   (602)  all_703_3 = all_699_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_716_3, all_721_3, zero_zero_int,
% 268.07/41.73  |              simplifying with (516), (517) gives:
% 268.07/41.73  |   (603)  all_721_3 = all_716_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_662_2, all_721_3, zero_zero_int,
% 268.07/41.73  |              simplifying with (516), (531) gives:
% 268.07/41.73  |   (604)  all_721_3 = all_662_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_703_3, all_723_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (515), (518) gives:
% 268.07/41.73  |   (605)  all_723_2 = all_703_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_674_2, all_729_0, zero_zero_int,
% 268.07/41.73  |              simplifying with (514), (528) gives:
% 268.07/41.73  |   (606)  all_729_0 = all_674_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_482_0, all_729_0, zero_zero_int,
% 268.07/41.73  |              simplifying with (514), (534) gives:
% 268.07/41.73  |   (607)  all_729_0 = all_482_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_723_2, all_732_1, zero_zero_int,
% 268.07/41.73  |              simplifying with (513), (515) gives:
% 268.07/41.73  |   (608)  all_732_1 = all_723_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_732_1, all_741_1, zero_zero_int,
% 268.07/41.73  |              simplifying with (511), (513) gives:
% 268.07/41.73  |   (609)  all_741_1 = all_732_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_741_1, all_753_3, zero_zero_int,
% 268.07/41.73  |              simplifying with (510), (511) gives:
% 268.07/41.73  |   (610)  all_753_3 = all_741_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_759_3, all_786_3, zero_zero_int,
% 268.07/41.73  |              simplifying with (506), (509) gives:
% 268.07/41.73  |   (611)  all_786_3 = all_759_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_683_2, all_786_3, zero_zero_int,
% 268.07/41.73  |              simplifying with (506), (525) gives:
% 268.07/41.73  |   (612)  all_786_3 = all_683_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_697_2, all_795_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (503), (520) gives:
% 268.07/41.73  |   (613)  all_795_2 = all_697_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_786_3, all_803_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (502), (506) gives:
% 268.07/41.73  |   (614)  all_803_2 = all_786_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_792_2, all_815_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (501), (504) gives:
% 268.07/41.73  |   (615)  all_815_2 = all_792_2
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_676_1, all_866_4, zero_zero_int,
% 268.07/41.73  |              simplifying with (500), (527) gives:
% 268.07/41.73  |   (616)  all_866_4 = all_676_1
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_667_3, all_866_4, zero_zero_int,
% 268.07/41.73  |              simplifying with (500), (530) gives:
% 268.07/41.73  |   (617)  all_866_4 = all_667_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_478_0, all_866_4, zero_zero_int,
% 268.07/41.73  |              simplifying with (500), (536) gives:
% 268.07/41.73  |   (618)  all_866_4 = all_478_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_729_0, all_869_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (499), (514) gives:
% 268.07/41.73  |   (619)  all_869_2 = all_729_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_480_0, all_869_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (499), (535) gives:
% 268.07/41.73  |   (620)  all_869_2 = all_480_0
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_753_3, all_872_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (498), (510) gives:
% 268.07/41.73  |   (621)  all_872_2 = all_753_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_721_3, all_944_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (496), (516) gives:
% 268.07/41.73  |   (622)  all_944_2 = all_721_3
% 268.07/41.73  | 
% 268.07/41.73  | GROUND_INST: instantiating (113) with all_685_2, all_944_2, zero_zero_int,
% 268.07/41.73  |              simplifying with (496), (524) gives:
% 268.07/41.73  |   (623)  all_944_2 = all_685_2
% 268.07/41.73  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_681_3, all_959_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (494), (526) gives:
% 268.07/41.74  |   (624)  all_959_2 = all_681_3
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_959_2, all_965_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (493), (494) gives:
% 268.07/41.74  |   (625)  all_965_2 = all_959_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_792_2, all_965_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (493), (504) gives:
% 268.07/41.74  |   (626)  all_965_2 = all_792_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_789_2, all_965_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (493), (505) gives:
% 268.07/41.74  |   (627)  all_965_2 = all_789_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_716_3, all_965_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (493), (517) gives:
% 268.07/41.74  |   (628)  all_965_2 = all_716_3
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_795_2, all_971_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (492), (503) gives:
% 268.07/41.74  |   (629)  all_971_2 = all_795_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_697_2, all_977_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (491), (520) gives:
% 268.07/41.74  |   (630)  all_977_2 = all_697_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_977_2, all_1064_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (490), (491) gives:
% 268.07/41.74  |   (631)  all_1064_2 = all_977_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_971_2, all_1067_2, zero_zero_int,
% 268.07/41.74  |              simplifying with (489), (492) gives:
% 268.07/41.74  |   (632)  all_1067_2 = all_971_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_866_4, all_1127_1, zero_zero_int,
% 268.07/41.74  |              simplifying with (487), (500) gives:
% 268.07/41.74  |   (633)  all_1127_1 = all_866_4
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_695_1, all_1139_3, zero_zero_int,
% 268.07/41.74  |              simplifying with (486), (521) gives:
% 268.07/41.74  |   (634)  all_1139_3 = all_695_1
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_944_2, all_1142_1, zero_zero_int,
% 268.07/41.74  |              simplifying with (485), (496) gives:
% 268.07/41.74  |   (635)  all_1142_1 = all_944_2
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_738_0, all_1151_3, zero_zero_int,
% 268.07/41.74  |              simplifying with (484), (512) gives:
% 268.07/41.74  |   (636)  all_1151_3 = all_738_0
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_672_1, all_1151_3, zero_zero_int,
% 268.07/41.74  |              simplifying with (484), (529) gives:
% 268.07/41.74  |   (637)  all_1151_3 = all_672_1
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_476_0, all_1151_3, zero_zero_int,
% 268.07/41.74  |              simplifying with (484), (537) gives:
% 268.07/41.74  |   (638)  all_1151_3 = all_476_0
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_1142_1, all_1163_1, zero_zero_int,
% 268.07/41.74  |              simplifying with (483), (485) gives:
% 268.07/41.74  |   (639)  all_1163_1 = all_1142_1
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_471_0, all_1163_1, zero_zero_int,
% 268.07/41.74  |              simplifying with (483), (539) gives:
% 268.07/41.74  |   (640)  all_1163_1 = all_471_0
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_1166_3, all_1175_3, zero_zero_int,
% 268.07/41.74  |              simplifying with (481), (482) gives:
% 268.07/41.74  |   (641)  all_1175_3 = all_1166_3
% 268.07/41.74  | 
% 268.07/41.74  | GROUND_INST: instantiating (113) with all_1181_3, all_1187_3, zero_zero_int,
% 268.07/41.74  |              simplifying with (479), (480) gives:
% 268.42/41.74  |   (642)  all_1187_3 = all_1181_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1067_2, all_1187_3, zero_zero_int,
% 268.42/41.74  |              simplifying with (479), (489) gives:
% 268.42/41.74  |   (643)  all_1187_3 = all_1067_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_689_1, all_1187_3, zero_zero_int,
% 268.42/41.74  |              simplifying with (479), (522) gives:
% 268.42/41.74  |   (644)  all_1187_3 = all_689_1
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1139_3, all_1199_3, zero_zero_int,
% 268.42/41.74  |              simplifying with (477), (486) gives:
% 268.42/41.74  |   (645)  all_1199_3 = all_1139_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_721_3, all_1199_3, zero_zero_int,
% 268.42/41.74  |              simplifying with (477), (516) gives:
% 268.42/41.74  |   (646)  all_1199_3 = all_721_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1127_1, all_1205_3, zero_zero_int,
% 268.42/41.74  |              simplifying with (476), (487) gives:
% 268.42/41.74  |   (647)  all_1205_3 = all_1127_1
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_484_0, all_1205_3, zero_zero_int,
% 268.42/41.74  |              simplifying with (476), (533) gives:
% 268.42/41.74  |   (648)  all_1205_3 = all_484_0
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_803_2, all_1208_3, zero_zero_int,
% 268.42/41.74  |              simplifying with (475), (502) gives:
% 268.42/41.74  |   (649)  all_1208_3 = all_803_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1124_1, all_1226_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (474), (488) gives:
% 268.42/41.74  |   (650)  all_1226_2 = all_1124_1
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_783_2, all_1226_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (474), (507) gives:
% 268.42/41.74  |   (651)  all_1226_2 = all_783_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1208_3, all_1229_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (473), (475) gives:
% 268.42/41.74  |   (652)  all_1229_2 = all_1208_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_469_0, all_1229_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (473), (540) gives:
% 268.42/41.74  |   (653)  all_1229_2 = all_469_0
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1064_2, all_1235_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (472), (490) gives:
% 268.42/41.74  |   (654)  all_1235_0 = all_1064_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_465_0, all_1235_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (472), (542) gives:
% 268.42/41.74  |   (655)  all_1235_0 = all_465_0
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_872_2, all_1238_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (471), (498) gives:
% 268.42/41.74  |   (656)  all_1238_0 = all_872_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_463_0, all_1238_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (471), (543) gives:
% 268.42/41.74  |   (657)  all_1238_0 = all_463_0
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1193_3, all_1241_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (470), (478) gives:
% 268.42/41.74  |   (658)  all_1241_0 = all_1193_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1166_3, all_1241_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (470), (482) gives:
% 268.42/41.74  |   (659)  all_1241_0 = all_1166_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1124_1, all_1241_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (470), (488) gives:
% 268.42/41.74  |   (660)  all_1241_0 = all_1124_1
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_950_2, all_1241_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (470), (495) gives:
% 268.42/41.74  |   (661)  all_1241_0 = all_950_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_815_2, all_1241_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (470), (501) gives:
% 268.42/41.74  |   (662)  all_1241_0 = all_815_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1151_3, all_1244_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (469), (484) gives:
% 268.42/41.74  |   (663)  all_1244_0 = all_1151_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_729_0, all_1244_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (469), (514) gives:
% 268.42/41.74  |   (664)  all_1244_0 = all_729_0
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_474_0, all_1244_0, zero_zero_int,
% 268.42/41.74  |              simplifying with (469), (538) gives:
% 268.42/41.74  |   (665)  all_1244_0 = all_474_0
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1175_3, all_1249_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (468), (481) gives:
% 268.42/41.74  |   (666)  all_1249_2 = all_1175_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_911_2, all_1249_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (468), (497) gives:
% 268.42/41.74  |   (667)  all_1249_2 = all_911_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_1199_3, all_1254_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (467), (477) gives:
% 268.42/41.74  |   (668)  all_1254_2 = all_1199_3
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (113) with all_771_2, all_1254_2, zero_zero_int,
% 268.42/41.74  |              simplifying with (467), (508) gives:
% 268.42/41.74  |   (669)  all_1254_2 = all_771_2
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (114) with all_488_0, all_599_1, zero_zero_int,
% 268.42/41.74  |              simplifying with (464), (465) gives:
% 268.42/41.74  |   (670)  all_599_1 = all_488_0
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (114) with all_599_1, all_602_1, zero_zero_int,
% 268.42/41.74  |              simplifying with (463), (464) gives:
% 268.42/41.74  |   (671)  all_602_1 = all_599_1
% 268.42/41.74  | 
% 268.42/41.74  | GROUND_INST: instantiating (114) with zero_zero_int, all_602_1, zero_zero_int,
% 268.42/41.74  |              simplifying with (463), (466) gives:
% 268.42/41.74  |   (672)  all_602_1 = zero_zero_int
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (592), (593) imply:
% 268.42/41.74  |   (673)  all_1178_0 = all_549_1
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (673) implies:
% 268.42/41.74  |   (674)  all_1178_0 = all_549_1
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (565), (566) imply:
% 268.42/41.74  |   (675)  all_818_0 = all_701_3
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (675) implies:
% 268.42/41.74  |   (676)  all_818_0 = all_701_3
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (668), (669) imply:
% 268.42/41.74  |   (677)  all_1199_3 = all_771_2
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (677) implies:
% 268.42/41.74  |   (678)  all_1199_3 = all_771_2
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (666), (667) imply:
% 268.42/41.74  |   (679)  all_1175_3 = all_911_2
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (679) implies:
% 268.42/41.74  |   (680)  all_1175_3 = all_911_2
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (664), (665) imply:
% 268.42/41.74  |   (681)  all_729_0 = all_474_0
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (681) implies:
% 268.42/41.74  |   (682)  all_729_0 = all_474_0
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (663), (665) imply:
% 268.42/41.74  |   (683)  all_1151_3 = all_474_0
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (683) implies:
% 268.42/41.74  |   (684)  all_1151_3 = all_474_0
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (658), (660) imply:
% 268.42/41.74  |   (685)  all_1193_3 = all_1124_1
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (658), (662) imply:
% 268.42/41.74  |   (686)  all_1193_3 = all_815_2
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (658), (659) imply:
% 268.42/41.74  |   (687)  all_1193_3 = all_1166_3
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (658), (661) imply:
% 268.42/41.74  |   (688)  all_1193_3 = all_950_2
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (656), (657) imply:
% 268.42/41.74  |   (689)  all_872_2 = all_463_0
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (689) implies:
% 268.42/41.74  |   (690)  all_872_2 = all_463_0
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (654), (655) imply:
% 268.42/41.74  |   (691)  all_1064_2 = all_465_0
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (691) implies:
% 268.42/41.74  |   (692)  all_1064_2 = all_465_0
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (652), (653) imply:
% 268.42/41.74  |   (693)  all_1208_3 = all_469_0
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (693) implies:
% 268.42/41.74  |   (694)  all_1208_3 = all_469_0
% 268.42/41.74  | 
% 268.42/41.74  | COMBINE_EQS: (650), (651) imply:
% 268.42/41.74  |   (695)  all_1124_1 = all_783_2
% 268.42/41.74  | 
% 268.42/41.74  | SIMP: (695) implies:
% 268.42/41.74  |   (696)  all_1124_1 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (590), (591) imply:
% 268.42/41.75  |   (697)  all_1160_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (697) implies:
% 268.42/41.75  |   (698)  all_1160_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (649), (694) imply:
% 268.42/41.75  |   (699)  all_803_2 = all_469_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (699) implies:
% 268.42/41.75  |   (700)  all_803_2 = all_469_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (647), (648) imply:
% 268.42/41.75  |   (701)  all_1127_1 = all_484_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (701) implies:
% 268.42/41.75  |   (702)  all_1127_1 = all_484_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (646), (678) imply:
% 268.42/41.75  |   (703)  all_771_2 = all_721_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (645), (678) imply:
% 268.42/41.75  |   (704)  all_1139_3 = all_771_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (704) implies:
% 268.42/41.75  |   (705)  all_1139_3 = all_771_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (687), (688) imply:
% 268.42/41.75  |   (706)  all_1166_3 = all_950_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (706) implies:
% 268.42/41.75  |   (707)  all_1166_3 = all_950_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (685), (688) imply:
% 268.42/41.75  |   (708)  all_1124_1 = all_950_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (708) implies:
% 268.42/41.75  |   (709)  all_1124_1 = all_950_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (686), (688) imply:
% 268.42/41.75  |   (710)  all_950_2 = all_815_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (642), (643) imply:
% 268.42/41.75  |   (711)  all_1181_3 = all_1067_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (642), (644) imply:
% 268.42/41.75  |   (712)  all_1181_3 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (711), (712) imply:
% 268.42/41.75  |   (713)  all_1067_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (713) implies:
% 268.42/41.75  |   (714)  all_1067_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (589), (674) imply:
% 268.42/41.75  |   (715)  all_1106_1 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (715) implies:
% 268.42/41.75  |   (716)  all_1106_1 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (641), (680) imply:
% 268.42/41.75  |   (717)  all_1166_3 = all_911_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (717) implies:
% 268.42/41.75  |   (718)  all_1166_3 = all_911_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (707), (718) imply:
% 268.42/41.75  |   (719)  all_950_2 = all_911_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (719) implies:
% 268.42/41.75  |   (720)  all_950_2 = all_911_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (639), (640) imply:
% 268.42/41.75  |   (721)  all_1142_1 = all_471_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (721) implies:
% 268.42/41.75  |   (722)  all_1142_1 = all_471_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (588), (698) imply:
% 268.42/41.75  |   (723)  all_1115_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (723) implies:
% 268.42/41.75  |   (724)  all_1115_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (636), (638) imply:
% 268.42/41.75  |   (725)  all_738_0 = all_476_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (636), (637) imply:
% 268.42/41.75  |   (726)  all_738_0 = all_672_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (636), (684) imply:
% 268.42/41.75  |   (727)  all_738_0 = all_474_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (635), (722) imply:
% 268.42/41.75  |   (728)  all_944_2 = all_471_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (728) implies:
% 268.42/41.75  |   (729)  all_944_2 = all_471_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (634), (705) imply:
% 268.42/41.75  |   (730)  all_771_2 = all_695_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (730) implies:
% 268.42/41.75  |   (731)  all_771_2 = all_695_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (633), (702) imply:
% 268.42/41.75  |   (732)  all_866_4 = all_484_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (732) implies:
% 268.42/41.75  |   (733)  all_866_4 = all_484_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (696), (709) imply:
% 268.42/41.75  |   (734)  all_950_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (734) implies:
% 268.42/41.75  |   (735)  all_950_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (587), (724) imply:
% 268.42/41.75  |   (736)  all_1097_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (736) implies:
% 268.42/41.75  |   (737)  all_1097_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (586), (716) imply:
% 268.42/41.75  |   (738)  all_1088_1 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (738) implies:
% 268.42/41.75  |   (739)  all_1088_1 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (585), (737) imply:
% 268.42/41.75  |   (740)  all_1091_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (740) implies:
% 268.42/41.75  |   (741)  all_1091_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (584), (741) imply:
% 268.42/41.75  |   (742)  all_1076_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (742) implies:
% 268.42/41.75  |   (743)  all_1076_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (583), (739) imply:
% 268.42/41.75  |   (744)  all_935_0 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (744) implies:
% 268.42/41.75  |   (745)  all_935_0 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (582), (743) imply:
% 268.42/41.75  |   (746)  all_1076_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (746) implies:
% 268.42/41.75  |   (747)  all_1076_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (581), (747) imply:
% 268.42/41.75  |   (748)  all_1064_3 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (748) implies:
% 268.42/41.75  |   (749)  all_1064_3 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (632), (714) imply:
% 268.42/41.75  |   (750)  all_971_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (750) implies:
% 268.42/41.75  |   (751)  all_971_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (631), (692) imply:
% 268.42/41.75  |   (752)  all_977_2 = all_465_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (752) implies:
% 268.42/41.75  |   (753)  all_977_2 = all_465_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (580), (749) imply:
% 268.42/41.75  |   (754)  all_989_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (754) implies:
% 268.42/41.75  |   (755)  all_989_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (579), (755) imply:
% 268.42/41.75  |   (756)  all_968_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (756) implies:
% 268.42/41.75  |   (757)  all_968_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (630), (753) imply:
% 268.42/41.75  |   (758)  all_697_2 = all_465_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (758) implies:
% 268.42/41.75  |   (759)  all_697_2 = all_465_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (629), (751) imply:
% 268.42/41.75  |   (760)  all_795_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (760) implies:
% 268.42/41.75  |   (761)  all_795_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (578), (757) imply:
% 268.42/41.75  |   (762)  all_947_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (762) implies:
% 268.42/41.75  |   (763)  all_947_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (625), (627) imply:
% 268.42/41.75  |   (764)  all_959_2 = all_789_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (764) implies:
% 268.42/41.75  |   (765)  all_959_2 = all_789_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (627), (628) imply:
% 268.42/41.75  |   (766)  all_789_2 = all_716_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (626), (627) imply:
% 268.42/41.75  |   (767)  all_792_2 = all_789_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (767) implies:
% 268.42/41.75  |   (768)  all_792_2 = all_789_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (624), (765) imply:
% 268.42/41.75  |   (769)  all_789_2 = all_681_3
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (769) implies:
% 268.42/41.75  |   (770)  all_789_2 = all_681_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (710), (720) imply:
% 268.42/41.75  |   (771)  all_911_2 = all_815_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (720), (735) imply:
% 268.42/41.75  |   (772)  all_911_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (577), (763) imply:
% 268.42/41.75  |   (773)  all_929_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (773) implies:
% 268.42/41.75  |   (774)  all_929_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (622), (623) imply:
% 268.42/41.75  |   (775)  all_721_3 = all_685_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (775) implies:
% 268.42/41.75  |   (776)  all_721_3 = all_685_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (623), (729) imply:
% 268.42/41.75  |   (777)  all_685_2 = all_471_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (576), (745) imply:
% 268.42/41.75  |   (778)  all_577_2 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (778) implies:
% 268.42/41.75  |   (779)  all_577_2 = all_549_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (575), (774) imply:
% 268.42/41.75  |   (780)  all_878_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (780) implies:
% 268.42/41.75  |   (781)  all_878_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (771), (772) imply:
% 268.42/41.75  |   (782)  all_815_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (782) implies:
% 268.42/41.75  |   (783)  all_815_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (574), (781) imply:
% 268.42/41.75  |   (784)  all_836_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (784) implies:
% 268.42/41.75  |   (785)  all_836_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (621), (690) imply:
% 268.42/41.75  |   (786)  all_753_3 = all_463_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (786) implies:
% 268.42/41.75  |   (787)  all_753_3 = all_463_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (619), (620) imply:
% 268.42/41.75  |   (788)  all_729_0 = all_480_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (788) implies:
% 268.42/41.75  |   (789)  all_729_0 = all_480_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (616), (618) imply:
% 268.42/41.75  |   (790)  all_676_1 = all_478_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (616), (617) imply:
% 268.42/41.75  |   (791)  all_676_1 = all_667_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (616), (733) imply:
% 268.42/41.75  |   (792)  all_676_1 = all_484_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (573), (785) imply:
% 268.42/41.75  |   (793)  all_806_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (793) implies:
% 268.42/41.75  |   (794)  all_806_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (564), (676) imply:
% 268.42/41.75  |   (795)  all_806_0 = all_701_3
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (795) implies:
% 268.42/41.75  |   (796)  all_806_0 = all_701_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (615), (783) imply:
% 268.42/41.75  |   (797)  all_792_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (797) implies:
% 268.42/41.75  |   (798)  all_792_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (563), (796) imply:
% 268.42/41.75  |   (799)  all_795_6 = all_701_3
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (799) implies:
% 268.42/41.75  |   (800)  all_795_6 = all_701_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (572), (794) imply:
% 268.42/41.75  |   (801)  all_762_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (801) implies:
% 268.42/41.75  |   (802)  all_762_0 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (614), (700) imply:
% 268.42/41.75  |   (803)  all_786_3 = all_469_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (803) implies:
% 268.42/41.75  |   (804)  all_786_3 = all_469_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (613), (761) imply:
% 268.42/41.75  |   (805)  all_697_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (805) implies:
% 268.42/41.75  |   (806)  all_697_2 = all_689_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (552), (553) imply:
% 268.42/41.75  |   (807)  all_714_2 = all_701_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (807) implies:
% 268.42/41.75  |   (808)  all_714_2 = all_701_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (562), (800) imply:
% 268.42/41.75  |   (809)  all_732_2 = all_701_3
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (809) implies:
% 268.42/41.75  |   (810)  all_732_2 = all_701_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (768), (798) imply:
% 268.42/41.75  |   (811)  all_789_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (811) implies:
% 268.42/41.75  |   (812)  all_789_2 = all_783_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (770), (812) imply:
% 268.42/41.75  |   (813)  all_783_2 = all_681_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (766), (812) imply:
% 268.42/41.75  |   (814)  all_783_2 = all_716_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (611), (612) imply:
% 268.42/41.75  |   (815)  all_759_3 = all_683_2
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (611), (804) imply:
% 268.42/41.75  |   (816)  all_759_3 = all_469_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (813), (814) imply:
% 268.42/41.75  |   (817)  all_716_3 = all_681_3
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (817) implies:
% 268.42/41.75  |   (818)  all_716_3 = all_681_3
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (703), (731) imply:
% 268.42/41.75  |   (819)  all_721_3 = all_695_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (819) implies:
% 268.42/41.75  |   (820)  all_721_3 = all_695_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (571), (802) imply:
% 268.42/41.75  |   (821)  all_735_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (821) implies:
% 268.42/41.75  |   (822)  all_735_1 = all_563_1
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (815), (816) imply:
% 268.42/41.75  |   (823)  all_683_2 = all_469_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (823) implies:
% 268.42/41.75  |   (824)  all_683_2 = all_469_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (610), (787) imply:
% 268.42/41.75  |   (825)  all_741_1 = all_463_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (825) implies:
% 268.42/41.75  |   (826)  all_741_1 = all_463_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (609), (826) imply:
% 268.42/41.75  |   (827)  all_732_1 = all_463_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (827) implies:
% 268.42/41.75  |   (828)  all_732_1 = all_463_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (725), (726) imply:
% 268.42/41.75  |   (829)  all_672_1 = all_476_0
% 268.42/41.75  | 
% 268.42/41.75  | SIMP: (829) implies:
% 268.42/41.75  |   (830)  all_672_1 = all_476_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (725), (727) imply:
% 268.42/41.75  |   (831)  all_476_0 = all_474_0
% 268.42/41.75  | 
% 268.42/41.75  | COMBINE_EQS: (570), (822) imply:
% 268.42/41.76  |   (832)  all_714_4 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (832) implies:
% 268.42/41.76  |   (833)  all_714_4 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (608), (828) imply:
% 268.42/41.76  |   (834)  all_723_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (834) implies:
% 268.42/41.76  |   (835)  all_723_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (561), (810) imply:
% 268.42/41.76  |   (836)  all_714_3 = all_701_3
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (836) implies:
% 268.42/41.76  |   (837)  all_714_3 = all_701_3
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (606), (789) imply:
% 268.42/41.76  |   (838)  all_674_2 = all_480_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (838) implies:
% 268.42/41.76  |   (839)  all_674_2 = all_480_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (607), (789) imply:
% 268.42/41.76  |   (840)  all_482_0 = all_480_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (840) implies:
% 268.42/41.76  |   (841)  all_482_0 = all_480_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (682), (789) imply:
% 268.42/41.76  |   (842)  all_480_0 = all_474_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (605), (835) imply:
% 268.42/41.76  |   (843)  all_703_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (843) implies:
% 268.42/41.76  |   (844)  all_703_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (603), (820) imply:
% 268.42/41.76  |   (845)  all_716_3 = all_695_1
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (845) implies:
% 268.42/41.76  |   (846)  all_716_3 = all_695_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (776), (820) imply:
% 268.42/41.76  |   (847)  all_695_1 = all_685_2
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (604), (820) imply:
% 268.42/41.76  |   (848)  all_695_1 = all_662_2
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (818), (846) imply:
% 268.42/41.76  |   (849)  all_695_1 = all_681_3
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (849) implies:
% 268.42/41.76  |   (850)  all_695_1 = all_681_3
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (560), (837) imply:
% 268.42/41.76  |   (851)  all_708_0 = all_701_3
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (851) implies:
% 268.42/41.76  |   (852)  all_708_0 = all_701_3
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (569), (833) imply:
% 268.42/41.76  |   (853)  all_691_3 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (853) implies:
% 268.42/41.76  |   (854)  all_691_3 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (557), (852) imply:
% 268.42/41.76  |   (855)  all_701_3 = all_691_2
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (558), (852) imply:
% 268.42/41.76  |   (856)  all_701_3 = all_689_3
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (559), (852) imply:
% 268.42/41.76  |   (857)  all_701_3 = all_646_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (602), (844) imply:
% 268.42/41.76  |   (858)  all_699_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (858) implies:
% 268.42/41.76  |   (859)  all_699_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (855), (856) imply:
% 268.42/41.76  |   (860)  all_691_2 = all_689_3
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (855), (857) imply:
% 268.42/41.76  |   (861)  all_691_2 = all_646_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (601), (859) imply:
% 268.42/41.76  |   (862)  all_687_1 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (862) implies:
% 268.42/41.76  |   (863)  all_687_1 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (600), (806) imply:
% 268.42/41.76  |   (864)  all_689_1 = all_672_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (759), (806) imply:
% 268.42/41.76  |   (865)  all_689_1 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (847), (850) imply:
% 268.42/41.76  |   (866)  all_685_2 = all_681_3
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (866) implies:
% 268.42/41.76  |   (867)  all_685_2 = all_681_3
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (848), (850) imply:
% 268.42/41.76  |   (868)  all_681_3 = all_662_2
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (860), (861) imply:
% 268.42/41.76  |   (869)  all_689_3 = all_646_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (869) implies:
% 268.42/41.76  |   (870)  all_689_3 = all_646_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (568), (854) imply:
% 268.42/41.76  |   (871)  all_591_2 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (871) implies:
% 268.42/41.76  |   (872)  all_591_2 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (864), (865) imply:
% 268.42/41.76  |   (873)  all_672_1 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (873) implies:
% 268.42/41.76  |   (874)  all_672_1 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (554), (555) imply:
% 268.42/41.76  |   (875)  all_687_3 = all_637_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (554), (870) imply:
% 268.42/41.76  |   (876)  all_687_3 = all_646_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (554), (556) imply:
% 268.42/41.76  |   (877)  all_687_3 = all_574_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (599), (863) imply:
% 268.42/41.76  |   (878)  all_667_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (878) implies:
% 268.42/41.76  |   (879)  all_667_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (876), (877) imply:
% 268.42/41.76  |   (880)  all_646_0 = all_574_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (875), (876) imply:
% 268.42/41.76  |   (881)  all_646_0 = all_637_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (777), (867) imply:
% 268.42/41.76  |   (882)  all_681_3 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (882) implies:
% 268.42/41.76  |   (883)  all_681_3 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (598), (824) imply:
% 268.42/41.76  |   (884)  all_674_2 = all_469_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (884) implies:
% 268.42/41.76  |   (885)  all_674_2 = all_469_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (868), (883) imply:
% 268.42/41.76  |   (886)  all_662_2 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (886) implies:
% 268.42/41.76  |   (887)  all_662_2 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (791), (792) imply:
% 268.42/41.76  |   (888)  all_667_3 = all_484_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (888) implies:
% 268.42/41.76  |   (889)  all_667_3 = all_484_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (790), (792) imply:
% 268.42/41.76  |   (890)  all_484_0 = all_478_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (597), (885) imply:
% 268.42/41.76  |   (891)  all_469_0 = all_467_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (839), (885) imply:
% 268.42/41.76  |   (892)  all_480_0 = all_469_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (892) implies:
% 268.42/41.76  |   (893)  all_480_0 = all_469_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (830), (874) imply:
% 268.42/41.76  |   (894)  all_476_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (894) implies:
% 268.42/41.76  |   (895)  all_476_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (879), (889) imply:
% 268.42/41.76  |   (896)  all_484_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (896) implies:
% 268.42/41.76  |   (897)  all_484_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (596), (887) imply:
% 268.42/41.76  |   (898)  all_657_1 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (898) implies:
% 268.42/41.76  |   (899)  all_657_1 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (595), (899) imply:
% 268.42/41.76  |   (900)  all_482_0 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (900) implies:
% 268.42/41.76  |   (901)  all_482_0 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (880), (881) imply:
% 268.42/41.76  |   (902)  all_637_0 = all_574_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (671), (672) imply:
% 268.42/41.76  |   (903)  all_599_1 = zero_zero_int
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (903) implies:
% 268.42/41.76  |   (904)  all_599_1 = zero_zero_int
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (670), (904) imply:
% 268.42/41.76  |   (905)  all_488_0 = zero_zero_int
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (567), (872) imply:
% 268.42/41.76  |   (906)  all_577_2 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (906) implies:
% 268.42/41.76  |   (907)  all_577_2 = all_563_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (779), (907) imply:
% 268.42/41.76  |   (908)  all_563_1 = all_549_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (890), (897) imply:
% 268.42/41.76  |   (909)  all_478_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (909) implies:
% 268.42/41.76  |   (910)  all_478_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (841), (901) imply:
% 268.42/41.76  |   (911)  all_480_0 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (911) implies:
% 268.42/41.76  |   (912)  all_480_0 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (842), (912) imply:
% 268.42/41.76  |   (913)  all_474_0 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (913) implies:
% 268.42/41.76  |   (914)  all_474_0 = all_471_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (893), (912) imply:
% 268.42/41.76  |   (915)  all_471_0 = all_469_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (594), (910) imply:
% 268.42/41.76  |   (916)  all_467_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (916) implies:
% 268.42/41.76  |   (917)  all_467_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (831), (895) imply:
% 268.42/41.76  |   (918)  all_474_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (918) implies:
% 268.42/41.76  |   (919)  all_474_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (914), (919) imply:
% 268.42/41.76  |   (920)  all_471_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (920) implies:
% 268.42/41.76  |   (921)  all_471_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (915), (921) imply:
% 268.42/41.76  |   (922)  all_469_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (922) implies:
% 268.42/41.76  |   (923)  all_469_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (891), (923) imply:
% 268.42/41.76  |   (924)  all_467_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | SIMP: (924) implies:
% 268.42/41.76  |   (925)  all_467_0 = all_465_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (917), (925) imply:
% 268.42/41.76  |   (926)  all_465_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (923), (926) imply:
% 268.42/41.76  |   (927)  all_469_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (921), (926) imply:
% 268.42/41.76  |   (928)  all_471_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (895), (926) imply:
% 268.42/41.76  |   (929)  all_476_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (912), (928) imply:
% 268.42/41.76  |   (930)  all_480_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (899), (928) imply:
% 268.42/41.76  |   (931)  all_657_1 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (887), (928) imply:
% 268.42/41.76  |   (932)  all_662_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (874), (926) imply:
% 268.42/41.76  |   (933)  all_672_1 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (885), (927) imply:
% 268.42/41.76  |   (934)  all_674_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (792), (897) imply:
% 268.42/41.76  |   (935)  all_676_1 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (883), (928) imply:
% 268.42/41.76  |   (936)  all_681_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (824), (927) imply:
% 268.42/41.76  |   (937)  all_683_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (777), (928) imply:
% 268.42/41.76  |   (938)  all_685_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (865), (926) imply:
% 268.42/41.76  |   (939)  all_689_1 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (861), (880) imply:
% 268.42/41.76  |   (940)  all_691_2 = all_574_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (850), (936) imply:
% 268.42/41.76  |   (941)  all_695_1 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (806), (939) imply:
% 268.42/41.76  |   (942)  all_697_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (855), (940) imply:
% 268.42/41.76  |   (943)  all_701_3 = all_574_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (833), (908) imply:
% 268.42/41.76  |   (944)  all_714_4 = all_549_1
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (837), (943) imply:
% 268.42/41.76  |   (945)  all_714_3 = all_574_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (818), (936) imply:
% 268.42/41.76  |   (946)  all_716_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (725), (929) imply:
% 268.42/41.76  |   (947)  all_738_0 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (816), (927) imply:
% 268.42/41.76  |   (948)  all_759_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (731), (941) imply:
% 268.42/41.76  |   (949)  all_771_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (813), (936) imply:
% 268.42/41.76  |   (950)  all_783_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (611), (948) imply:
% 268.42/41.76  |   (951)  all_786_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (812), (950) imply:
% 268.42/41.76  |   (952)  all_789_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (798), (950) imply:
% 268.42/41.76  |   (953)  all_792_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (800), (943) imply:
% 268.42/41.76  |   (954)  all_795_6 = all_574_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (761), (939) imply:
% 268.42/41.76  |   (955)  all_795_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (700), (927) imply:
% 268.42/41.76  |   (956)  all_803_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (783), (950) imply:
% 268.42/41.76  |   (957)  all_815_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (616), (935) imply:
% 268.42/41.76  |   (958)  all_866_4 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (620), (930) imply:
% 268.42/41.76  |   (959)  all_869_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (772), (950) imply:
% 268.42/41.76  |   (960)  all_911_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (623), (938) imply:
% 268.42/41.76  |   (961)  all_944_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (720), (960) imply:
% 268.42/41.76  |   (962)  all_950_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (624), (936) imply:
% 268.42/41.76  |   (963)  all_959_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (627), (952) imply:
% 268.42/41.76  |   (964)  all_965_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (751), (939) imply:
% 268.42/41.76  |   (965)  all_971_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (753), (926) imply:
% 268.42/41.76  |   (966)  all_977_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (692), (926) imply:
% 268.42/41.76  |   (967)  all_1064_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (714), (939) imply:
% 268.42/41.76  |   (968)  all_1067_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (634), (941) imply:
% 268.42/41.76  |   (969)  all_1139_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (636), (947) imply:
% 268.42/41.76  |   (970)  all_1151_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (718), (960) imply:
% 268.42/41.76  |   (971)  all_1166_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (680), (960) imply:
% 268.42/41.76  |   (972)  all_1175_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (712), (939) imply:
% 268.42/41.76  |   (973)  all_1181_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (642), (973) imply:
% 268.42/41.76  |   (974)  all_1187_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (688), (962) imply:
% 268.42/41.76  |   (975)  all_1193_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (678), (949) imply:
% 268.42/41.76  |   (976)  all_1199_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (648), (897) imply:
% 268.42/41.76  |   (977)  all_1205_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (694), (927) imply:
% 268.42/41.76  |   (978)  all_1208_3 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (651), (950) imply:
% 268.42/41.76  |   (979)  all_1226_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (653), (927) imply:
% 268.42/41.76  |   (980)  all_1229_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (667), (960) imply:
% 268.42/41.76  |   (981)  all_1249_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | COMBINE_EQS: (669), (949) imply:
% 268.42/41.76  |   (982)  all_1254_2 = all_463_0
% 268.42/41.76  | 
% 268.42/41.76  | REDUCE: (457), (982) imply:
% 268.42/41.76  |   (983)  bit0(all_463_0) = all_1254_1
% 268.42/41.76  | 
% 268.42/41.76  | REDUCE: (453), (981) imply:
% 268.42/41.77  |   (984)  bit0(all_463_0) = all_1249_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (441), (980) imply:
% 268.42/41.77  |   (985)  bit0(all_463_0) = all_1229_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (437), (979) imply:
% 268.42/41.77  |   (986)  bit0(all_463_0) = all_1226_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (432), (978) imply:
% 268.42/41.77  |   (987)  bit0(all_463_0) = all_1208_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (428), (977) imply:
% 268.42/41.77  |   (988)  bit0(all_463_0) = all_1205_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (424), (976) imply:
% 268.42/41.77  |   (989)  bit0(all_463_0) = all_1199_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (420), (975) imply:
% 268.42/41.77  |   (990)  bit0(all_463_0) = all_1193_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (416), (974) imply:
% 268.42/41.77  |   (991)  bit0(all_463_0) = all_1187_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (412), (973) imply:
% 268.42/41.77  |   (992)  bit0(all_463_0) = all_1181_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (406), (972) imply:
% 268.42/41.77  |   (993)  bit0(all_463_0) = all_1175_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (402), (971) imply:
% 268.42/41.77  |   (994)  bit0(all_463_0) = all_1166_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (394), (970) imply:
% 268.42/41.77  |   (995)  bit0(all_463_0) = all_1151_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (388), (969) imply:
% 268.42/41.77  |   (996)  bit0(all_463_0) = all_1139_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (367), (968) imply:
% 268.42/41.77  |   (997)  bit0(all_463_0) = all_1067_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (363), (967) imply:
% 268.42/41.77  |   (998)  bit0(all_463_0) = all_1064_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (356), (966) imply:
% 268.42/41.77  |   (999)  bit0(all_463_0) = all_977_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (352), (965) imply:
% 268.42/41.77  |   (1000)  bit0(all_463_0) = all_971_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (345), (964) imply:
% 268.42/41.77  |   (1001)  bit0(all_463_0) = all_965_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (341), (963) imply:
% 268.42/41.77  |   (1002)  bit0(all_463_0) = all_959_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (337), (962) imply:
% 268.42/41.77  |   (1003)  bit0(all_463_0) = all_950_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (331), (961) imply:
% 268.42/41.77  |   (1004)  bit0(all_463_0) = all_944_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (323), (960) imply:
% 268.42/41.77  |   (1005)  bit0(all_463_0) = all_911_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (315), (690) imply:
% 268.42/41.77  |   (1006)  bit0(all_463_0) = all_872_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (311), (959) imply:
% 268.42/41.77  |   (1007)  bit0(all_463_0) = all_869_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (307), (958) imply:
% 268.42/41.77  |   (1008)  bit0(all_463_0) = all_866_3
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (299), (957) imply:
% 268.42/41.77  |   (1009)  bit0(all_463_0) = all_815_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (292), (956) imply:
% 268.42/41.77  |   (1010)  bit0(all_463_0) = all_803_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (288), (955) imply:
% 268.42/41.77  |   (1011)  bit0(all_463_0) = all_795_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (279), (953) imply:
% 268.42/41.77  |   (1012)  bit0(all_463_0) = all_792_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (275), (952) imply:
% 268.42/41.77  |   (1013)  bit0(all_463_0) = all_789_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (271), (951) imply:
% 268.42/41.77  |   (1014)  bit0(all_463_0) = all_786_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (268), (950) imply:
% 268.42/41.77  |   (1015)  bit0(all_463_0) = all_783_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (264), (949) imply:
% 268.42/41.77  |   (1016)  bit0(all_463_0) = all_771_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (258), (948) imply:
% 268.42/41.77  |   (1017)  bit0(all_463_0) = all_759_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (255), (787) imply:
% 268.42/41.77  |   (1018)  bit0(all_463_0) = all_753_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (241), (835) imply:
% 268.42/41.77  |   (1019)  bit0(all_463_0) = all_723_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (235), (946) imply:
% 268.42/41.77  |   (1020)  bit0(all_463_0) = all_716_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (222), (844) imply:
% 268.42/41.77  |   (1021)  bit0(all_463_0) = all_703_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (214), (859) imply:
% 268.42/41.77  |   (1022)  bit0(all_463_0) = all_699_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (210), (942) imply:
% 268.42/41.77  |   (1023)  bit0(all_463_0) = all_697_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (206), (941) imply:
% 268.42/41.77  |   (1024)  bit0(all_463_0) = all_695_0
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (200), (939) imply:
% 268.42/41.77  |   (1025)  bit0(all_463_0) = all_689_0
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (196), (863) imply:
% 268.42/41.77  |   (1026)  bit0(all_463_0) = all_687_0
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (192), (938) imply:
% 268.42/41.77  |   (1027)  bit0(all_463_0) = all_685_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (188), (937) imply:
% 268.42/41.77  |   (1028)  bit0(all_463_0) = all_683_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (184), (936) imply:
% 268.42/41.77  |   (1029)  bit0(all_463_0) = all_681_2
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (180), (935) imply:
% 268.42/41.77  |   (1030)  bit0(all_463_0) = all_676_0
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (177), (934) imply:
% 268.42/41.77  |   (1031)  bit0(all_463_0) = all_674_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (173), (933) imply:
% 268.42/41.77  |   (1032)  bit0(all_463_0) = all_672_0
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (167), (932) imply:
% 268.42/41.77  |   (1033)  bit0(all_463_0) = all_662_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (162), (931) imply:
% 268.42/41.77  |   (1034)  bit0(all_463_0) = all_657_0
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (282), (553), (954) imply:
% 268.42/41.77  |   (1035)  hAPP_int_int(all_574_0, all_701_2) = all_795_4
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (230), (808), (945) imply:
% 268.42/41.77  |   (1036)  hAPP_int_int(all_574_0, all_701_2) = all_714_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (217), (943) imply:
% 268.42/41.77  |   (1037)  hAPP_int_int(all_574_0, all_701_2) = all_701_1
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (229), (944) imply:
% 268.42/41.77  |   (1038)  hAPP_int_bool(all_549_1, all_714_1) = all_714_0
% 268.42/41.77  | 
% 268.42/41.77  | REDUCE: (141), (905) imply:
% 268.42/41.77  |   (1039)  int(zero_zero_int)
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (115) with all_714_1, all_795_4, all_701_2,
% 268.42/41.77  |              all_574_0, simplifying with (1035), (1036) gives:
% 268.42/41.77  |   (1040)  all_795_4 = all_714_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (115) with all_701_1, all_795_4, all_701_2,
% 268.42/41.77  |              all_574_0, simplifying with (1035), (1037) gives:
% 268.42/41.77  |   (1041)  all_795_4 = all_701_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_657_0, all_676_0, all_463_0,
% 268.42/41.77  |              simplifying with (1030), (1034) gives:
% 268.42/41.77  |   (1042)  all_676_0 = all_657_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_676_0, all_683_1, all_463_0,
% 268.42/41.77  |              simplifying with (1028), (1030) gives:
% 268.42/41.77  |   (1043)  all_683_1 = all_676_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_676_0, all_689_0, all_463_0,
% 268.42/41.77  |              simplifying with (1025), (1030) gives:
% 268.42/41.77  |   (1044)  all_689_0 = all_676_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_723_1, all_753_2, all_463_0,
% 268.42/41.77  |              simplifying with (1018), (1019) gives:
% 268.42/41.77  |   (1045)  all_753_2 = all_723_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_753_2, all_759_2, all_463_0,
% 268.42/41.77  |              simplifying with (1017), (1018) gives:
% 268.42/41.77  |   (1046)  all_759_2 = all_753_2
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_783_1, all_786_2, all_463_0,
% 268.42/41.77  |              simplifying with (1014), (1015) gives:
% 268.42/41.77  |   (1047)  all_786_2 = all_783_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_795_1, all_803_1, all_463_0,
% 268.42/41.77  |              simplifying with (1010), (1011) gives:
% 268.42/41.77  |   (1048)  all_803_1 = all_795_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_687_0, all_869_1, all_463_0,
% 268.42/41.77  |              simplifying with (1007), (1026) gives:
% 268.42/41.77  |   (1049)  all_869_1 = all_687_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_683_1, all_869_1, all_463_0,
% 268.42/41.77  |              simplifying with (1007), (1028) gives:
% 268.42/41.77  |   (1050)  all_869_1 = all_683_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_703_2, all_911_1, all_463_0,
% 268.42/41.77  |              simplifying with (1005), (1021) gives:
% 268.42/41.77  |   (1051)  all_911_1 = all_703_2
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_699_1, all_911_1, all_463_0,
% 268.42/41.77  |              simplifying with (1005), (1022) gives:
% 268.42/41.77  |   (1052)  all_911_1 = all_699_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_872_1, all_944_1, all_463_0,
% 268.42/41.77  |              simplifying with (1004), (1006) gives:
% 268.42/41.77  |   (1053)  all_944_1 = all_872_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_944_1, all_959_1, all_463_0,
% 268.42/41.77  |              simplifying with (1002), (1004) gives:
% 268.42/41.77  |   (1054)  all_959_1 = all_944_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_783_1, all_965_1, all_463_0,
% 268.42/41.77  |              simplifying with (1001), (1015) gives:
% 268.42/41.77  |   (1055)  all_965_1 = all_783_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_771_1, all_965_1, all_463_0,
% 268.42/41.77  |              simplifying with (1001), (1016) gives:
% 268.42/41.77  |   (1056)  all_965_1 = all_771_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_759_2, all_965_1, all_463_0,
% 268.42/41.77  |              simplifying with (1001), (1017) gives:
% 268.42/41.77  |   (1057)  all_965_1 = all_759_2
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_872_1, all_971_1, all_463_0,
% 268.42/41.77  |              simplifying with (1000), (1006) gives:
% 268.42/41.77  |   (1058)  all_971_1 = all_872_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_697_1, all_971_1, all_463_0,
% 268.42/41.77  |              simplifying with (1000), (1023) gives:
% 268.42/41.77  |   (1059)  all_971_1 = all_697_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_689_0, all_971_1, all_463_0,
% 268.42/41.77  |              simplifying with (1000), (1025) gives:
% 268.42/41.77  |   (1060)  all_971_1 = all_689_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_716_2, all_977_1, all_463_0,
% 268.42/41.77  |              simplifying with (999), (1020) gives:
% 268.42/41.77  |   (1061)  all_977_1 = all_716_2
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_1064_1, all_1067_1, all_463_0,
% 268.42/41.77  |              simplifying with (997), (998) gives:
% 268.42/41.77  |   (1062)  all_1067_1 = all_1064_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_676_0, all_1139_2, all_463_0,
% 268.42/41.77  |              simplifying with (996), (1030) gives:
% 268.42/41.77  |   (1063)  all_1139_2 = all_676_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_662_1, all_1139_2, all_463_0,
% 268.42/41.77  |              simplifying with (996), (1033) gives:
% 268.42/41.77  |   (1064)  all_1139_2 = all_662_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_959_1, all_1151_2, all_463_0,
% 268.42/41.77  |              simplifying with (995), (1002) gives:
% 268.42/41.77  |   (1065)  all_1151_2 = all_959_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_869_1, all_1166_2, all_463_0,
% 268.42/41.77  |              simplifying with (994), (1007) gives:
% 268.42/41.77  |   (1066)  all_1166_2 = all_869_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_685_1, all_1166_2, all_463_0,
% 268.42/41.77  |              simplifying with (994), (1027) gives:
% 268.42/41.77  |   (1067)  all_1166_2 = all_685_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_1151_2, all_1175_2, all_463_0,
% 268.42/41.77  |              simplifying with (993), (995) gives:
% 268.42/41.77  |   (1068)  all_1175_2 = all_1151_2
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_1064_1, all_1181_2, all_463_0,
% 268.42/41.77  |              simplifying with (992), (998) gives:
% 268.42/41.77  |   (1069)  all_1181_2 = all_1064_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_803_1, all_1181_2, all_463_0,
% 268.42/41.77  |              simplifying with (992), (1010) gives:
% 268.42/41.77  |   (1070)  all_1181_2 = all_803_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_699_1, all_1187_2, all_463_0,
% 268.42/41.77  |              simplifying with (991), (1022) gives:
% 268.42/41.77  |   (1071)  all_1187_2 = all_699_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_695_0, all_1187_2, all_463_0,
% 268.42/41.77  |              simplifying with (991), (1024) gives:
% 268.42/41.77  |   (1072)  all_1187_2 = all_695_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_687_0, all_1187_2, all_463_0,
% 268.42/41.77  |              simplifying with (991), (1026) gives:
% 268.42/41.77  |   (1073)  all_1187_2 = all_687_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_683_1, all_1193_2, all_463_0,
% 268.42/41.77  |              simplifying with (990), (1028) gives:
% 268.42/41.77  |   (1074)  all_1193_2 = all_683_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_672_0, all_1193_2, all_463_0,
% 268.42/41.77  |              simplifying with (990), (1032) gives:
% 268.42/41.77  |   (1075)  all_1193_2 = all_672_0
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_1175_2, all_1199_2, all_463_0,
% 268.42/41.77  |              simplifying with (989), (993) gives:
% 268.42/41.77  |   (1076)  all_1199_2 = all_1175_2
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_674_1, all_1199_2, all_463_0,
% 268.42/41.77  |              simplifying with (989), (1031) gives:
% 268.42/41.77  |   (1077)  all_1199_2 = all_674_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_977_1, all_1205_2, all_463_0,
% 268.42/41.77  |              simplifying with (988), (999) gives:
% 268.42/41.77  |   (1078)  all_1205_2 = all_977_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_911_1, all_1205_2, all_463_0,
% 268.42/41.77  |              simplifying with (988), (1005) gives:
% 268.42/41.77  |   (1079)  all_1205_2 = all_911_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_815_1, all_1205_2, all_463_0,
% 268.42/41.77  |              simplifying with (988), (1009) gives:
% 268.42/41.77  |   (1080)  all_1205_2 = all_815_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_723_1, all_1205_2, all_463_0,
% 268.42/41.77  |              simplifying with (988), (1019) gives:
% 268.42/41.77  |   (1081)  all_1205_2 = all_723_1
% 268.42/41.77  | 
% 268.42/41.77  | GROUND_INST: instantiating (112) with all_803_1, all_1208_2, all_463_0,
% 268.42/41.77  |              simplifying with (987), (1010) gives:
% 268.42/41.77  |   (1082)  all_1208_2 = all_803_1
% 268.42/41.77  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_792_1, all_1208_2, all_463_0,
% 268.42/41.78  |              simplifying with (987), (1012) gives:
% 268.42/41.78  |   (1083)  all_1208_2 = all_792_1
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_789_1, all_1208_2, all_463_0,
% 268.42/41.78  |              simplifying with (987), (1013) gives:
% 268.42/41.78  |   (1084)  all_1208_2 = all_789_1
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_786_2, all_1208_2, all_463_0,
% 268.42/41.78  |              simplifying with (987), (1014) gives:
% 268.42/41.78  |   (1085)  all_1208_2 = all_786_2
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_1067_1, all_1226_1, all_463_0,
% 268.42/41.78  |              simplifying with (986), (997) gives:
% 268.42/41.78  |   (1086)  all_1226_1 = all_1067_1
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_965_1, all_1229_1, all_463_0,
% 268.42/41.78  |              simplifying with (985), (1001) gives:
% 268.42/41.78  |   (1087)  all_1229_1 = all_965_1
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_950_1, all_1229_1, all_463_0,
% 268.42/41.78  |              simplifying with (985), (1003) gives:
% 268.42/41.78  |   (1088)  all_1229_1 = all_950_1
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_1226_1, all_1249_1, all_463_0,
% 268.42/41.78  |              simplifying with (984), (986) gives:
% 268.42/41.78  |   (1089)  all_1249_1 = all_1226_1
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_681_2, all_1249_1, all_463_0,
% 268.42/41.78  |              simplifying with (984), (1029) gives:
% 268.42/41.78  |   (1090)  all_1249_1 = all_681_2
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_1181_2, all_1254_1, all_463_0,
% 268.42/41.78  |              simplifying with (983), (992) gives:
% 268.42/41.78  |   (1091)  all_1254_1 = all_1181_2
% 268.42/41.78  | 
% 268.42/41.78  | GROUND_INST: instantiating (112) with all_866_3, all_1254_1, all_463_0,
% 268.42/41.78  |              simplifying with (983), (1008) gives:
% 268.42/41.78  |   (1092)  all_1254_1 = all_866_3
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1091), (1092) imply:
% 268.42/41.78  |   (1093)  all_1181_2 = all_866_3
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1093) implies:
% 268.42/41.78  |   (1094)  all_1181_2 = all_866_3
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1089), (1090) imply:
% 268.42/41.78  |   (1095)  all_1226_1 = all_681_2
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1095) implies:
% 268.42/41.78  |   (1096)  all_1226_1 = all_681_2
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1087), (1088) imply:
% 268.42/41.78  |   (1097)  all_965_1 = all_950_1
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1097) implies:
% 268.42/41.78  |   (1098)  all_965_1 = all_950_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1086), (1096) imply:
% 268.42/41.78  |   (1099)  all_1067_1 = all_681_2
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1099) implies:
% 268.42/41.78  |   (1100)  all_1067_1 = all_681_2
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1082), (1083) imply:
% 268.42/41.78  |   (1101)  all_803_1 = all_792_1
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1101) implies:
% 268.42/41.78  |   (1102)  all_803_1 = all_792_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1083), (1085) imply:
% 268.42/41.78  |   (1103)  all_792_1 = all_786_2
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1083), (1084) imply:
% 268.42/41.78  |   (1104)  all_792_1 = all_789_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1079), (1080) imply:
% 268.42/41.78  |   (1105)  all_911_1 = all_815_1
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1105) implies:
% 268.42/41.78  |   (1106)  all_911_1 = all_815_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1080), (1081) imply:
% 268.42/41.78  |   (1107)  all_815_1 = all_723_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1078), (1080) imply:
% 268.42/41.78  |   (1108)  all_977_1 = all_815_1
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1108) implies:
% 268.42/41.78  |   (1109)  all_977_1 = all_815_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1076), (1077) imply:
% 268.42/41.78  |   (1110)  all_1175_2 = all_674_1
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1110) implies:
% 268.42/41.78  |   (1111)  all_1175_2 = all_674_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1074), (1075) imply:
% 268.42/41.78  |   (1112)  all_683_1 = all_672_0
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1112) implies:
% 268.42/41.78  |   (1113)  all_683_1 = all_672_0
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1071), (1072) imply:
% 268.42/41.78  |   (1114)  all_699_1 = all_695_0
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1114) implies:
% 268.42/41.78  |   (1115)  all_699_1 = all_695_0
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1072), (1073) imply:
% 268.42/41.78  |   (1116)  all_695_0 = all_687_0
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1070), (1094) imply:
% 268.42/41.78  |   (1117)  all_866_3 = all_803_1
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1069), (1094) imply:
% 268.42/41.78  |   (1118)  all_1064_1 = all_866_3
% 268.42/41.78  | 
% 268.42/41.78  | SIMP: (1118) implies:
% 268.42/41.78  |   (1119)  all_1064_1 = all_866_3
% 268.42/41.78  | 
% 268.42/41.78  | COMBINE_EQS: (1068), (1111) imply:
% 268.59/41.78  |   (1120)  all_1151_2 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1120) implies:
% 268.59/41.78  |   (1121)  all_1151_2 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1066), (1067) imply:
% 268.59/41.78  |   (1122)  all_869_1 = all_685_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1122) implies:
% 268.59/41.78  |   (1123)  all_869_1 = all_685_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1065), (1121) imply:
% 268.59/41.78  |   (1124)  all_959_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1124) implies:
% 268.59/41.78  |   (1125)  all_959_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1063), (1064) imply:
% 268.59/41.78  |   (1126)  all_676_0 = all_662_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1126) implies:
% 268.59/41.78  |   (1127)  all_676_0 = all_662_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1062), (1100) imply:
% 268.59/41.78  |   (1128)  all_1064_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1128) implies:
% 268.59/41.78  |   (1129)  all_1064_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1119), (1129) imply:
% 268.59/41.78  |   (1130)  all_866_3 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1130) implies:
% 268.59/41.78  |   (1131)  all_866_3 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1061), (1109) imply:
% 268.59/41.78  |   (1132)  all_815_1 = all_716_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1132) implies:
% 268.59/41.78  |   (1133)  all_815_1 = all_716_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1058), (1059) imply:
% 268.59/41.78  |   (1134)  all_872_1 = all_697_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1134) implies:
% 268.59/41.78  |   (1135)  all_872_1 = all_697_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1059), (1060) imply:
% 268.59/41.78  |   (1136)  all_697_1 = all_689_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1057), (1098) imply:
% 268.59/41.78  |   (1137)  all_950_1 = all_759_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1056), (1098) imply:
% 268.59/41.78  |   (1138)  all_950_1 = all_771_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1055), (1098) imply:
% 268.59/41.78  |   (1139)  all_950_1 = all_783_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1054), (1125) imply:
% 268.59/41.78  |   (1140)  all_944_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1140) implies:
% 268.59/41.78  |   (1141)  all_944_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1138), (1139) imply:
% 268.59/41.78  |   (1142)  all_783_1 = all_771_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1142) implies:
% 268.59/41.78  |   (1143)  all_783_1 = all_771_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1137), (1138) imply:
% 268.59/41.78  |   (1144)  all_771_1 = all_759_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1053), (1141) imply:
% 268.59/41.78  |   (1145)  all_872_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1145) implies:
% 268.59/41.78  |   (1146)  all_872_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1051), (1052) imply:
% 268.59/41.78  |   (1147)  all_703_2 = all_699_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1051), (1106) imply:
% 268.59/41.78  |   (1148)  all_815_1 = all_703_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1148) implies:
% 268.59/41.78  |   (1149)  all_815_1 = all_703_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1135), (1146) imply:
% 268.59/41.78  |   (1150)  all_697_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1150) implies:
% 268.59/41.78  |   (1151)  all_697_1 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1049), (1123) imply:
% 268.59/41.78  |   (1152)  all_687_0 = all_685_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1152) implies:
% 268.59/41.78  |   (1153)  all_687_0 = all_685_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1050), (1123) imply:
% 268.59/41.78  |   (1154)  all_685_1 = all_683_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1117), (1131) imply:
% 268.59/41.78  |   (1155)  all_803_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1155) implies:
% 268.59/41.78  |   (1156)  all_803_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1133), (1149) imply:
% 268.59/41.78  |   (1157)  all_716_2 = all_703_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1107), (1133) imply:
% 268.59/41.78  |   (1158)  all_723_1 = all_716_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1158) implies:
% 268.59/41.78  |   (1159)  all_723_1 = all_716_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1048), (1102) imply:
% 268.59/41.78  |   (1160)  all_795_1 = all_792_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1048), (1156) imply:
% 268.59/41.78  |   (1161)  all_795_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1160), (1161) imply:
% 268.59/41.78  |   (1162)  all_792_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1162) implies:
% 268.59/41.78  |   (1163)  all_792_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1040), (1041) imply:
% 268.59/41.78  |   (1164)  all_714_1 = all_701_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1164) implies:
% 268.59/41.78  |   (1165)  all_714_1 = all_701_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1103), (1104) imply:
% 268.59/41.78  |   (1166)  all_789_1 = all_786_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1104), (1163) imply:
% 268.59/41.78  |   (1167)  all_789_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1166), (1167) imply:
% 268.59/41.78  |   (1168)  all_786_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1168) implies:
% 268.59/41.78  |   (1169)  all_786_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1047), (1169) imply:
% 268.59/41.78  |   (1170)  all_783_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1170) implies:
% 268.59/41.78  |   (1171)  all_783_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1143), (1171) imply:
% 268.59/41.78  |   (1172)  all_771_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1172) implies:
% 268.59/41.78  |   (1173)  all_771_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1144), (1173) imply:
% 268.59/41.78  |   (1174)  all_759_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1174) implies:
% 268.59/41.78  |   (1175)  all_759_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1046), (1175) imply:
% 268.59/41.78  |   (1176)  all_753_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1176) implies:
% 268.59/41.78  |   (1177)  all_753_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1045), (1177) imply:
% 268.59/41.78  |   (1178)  all_723_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1178) implies:
% 268.59/41.78  |   (1179)  all_723_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1159), (1179) imply:
% 268.59/41.78  |   (1180)  all_716_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1180) implies:
% 268.59/41.78  |   (1181)  all_716_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1157), (1181) imply:
% 268.59/41.78  |   (1182)  all_703_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1182) implies:
% 268.59/41.78  |   (1183)  all_703_2 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1147), (1183) imply:
% 268.59/41.78  |   (1184)  all_699_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1184) implies:
% 268.59/41.78  |   (1185)  all_699_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1115), (1185) imply:
% 268.59/41.78  |   (1186)  all_695_0 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1186) implies:
% 268.59/41.78  |   (1187)  all_695_0 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1136), (1151) imply:
% 268.59/41.78  |   (1188)  all_689_0 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1188) implies:
% 268.59/41.78  |   (1189)  all_689_0 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1116), (1187) imply:
% 268.59/41.78  |   (1190)  all_687_0 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1190) implies:
% 268.59/41.78  |   (1191)  all_687_0 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1044), (1189) imply:
% 268.59/41.78  |   (1192)  all_676_0 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1192) implies:
% 268.59/41.78  |   (1193)  all_676_0 = all_674_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1153), (1191) imply:
% 268.59/41.78  |   (1194)  all_685_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1194) implies:
% 268.59/41.78  |   (1195)  all_685_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1154), (1195) imply:
% 268.59/41.78  |   (1196)  all_683_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1196) implies:
% 268.59/41.78  |   (1197)  all_683_1 = all_681_2
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1043), (1197) imply:
% 268.59/41.78  |   (1198)  all_681_2 = all_676_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1113), (1197) imply:
% 268.59/41.78  |   (1199)  all_681_2 = all_672_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1198), (1199) imply:
% 268.59/41.78  |   (1200)  all_676_0 = all_672_0
% 268.59/41.78  | 
% 268.59/41.78  | SIMP: (1200) implies:
% 268.59/41.78  |   (1201)  all_676_0 = all_672_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1127), (1193) imply:
% 268.59/41.78  |   (1202)  all_674_1 = all_662_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1042), (1193) imply:
% 268.59/41.78  |   (1203)  all_674_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1193), (1201) imply:
% 268.59/41.78  |   (1204)  all_674_1 = all_672_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1202), (1204) imply:
% 268.59/41.78  |   (1205)  all_672_0 = all_662_1
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1203), (1204) imply:
% 268.59/41.78  |   (1206)  all_672_0 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1205), (1206) imply:
% 268.59/41.78  |   (1207)  all_662_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1199), (1206) imply:
% 268.59/41.78  |   (1208)  all_681_2 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1197), (1208) imply:
% 268.59/41.78  |   (1209)  all_683_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1195), (1208) imply:
% 268.59/41.78  |   (1210)  all_685_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1187), (1208) imply:
% 268.59/41.78  |   (1211)  all_695_0 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1151), (1203) imply:
% 268.59/41.78  |   (1212)  all_697_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1185), (1208) imply:
% 268.59/41.78  |   (1213)  all_699_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1183), (1208) imply:
% 268.59/41.78  |   (1214)  all_703_2 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1181), (1208) imply:
% 268.59/41.78  |   (1215)  all_716_2 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1179), (1208) imply:
% 268.59/41.78  |   (1216)  all_723_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1173), (1208) imply:
% 268.59/41.78  |   (1217)  all_771_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1171), (1208) imply:
% 268.59/41.78  |   (1218)  all_783_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1167), (1208) imply:
% 268.59/41.78  |   (1219)  all_789_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1104), (1219) imply:
% 268.59/41.78  |   (1220)  all_792_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1161), (1208) imply:
% 268.59/41.78  |   (1221)  all_795_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1048), (1221) imply:
% 268.59/41.78  |   (1222)  all_803_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1133), (1215) imply:
% 268.59/41.78  |   (1223)  all_815_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1131), (1208) imply:
% 268.59/41.78  |   (1224)  all_866_3 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1123), (1210) imply:
% 268.59/41.78  |   (1225)  all_869_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1146), (1203) imply:
% 268.59/41.78  |   (1226)  all_872_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1141), (1203) imply:
% 268.59/41.78  |   (1227)  all_944_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1138), (1217) imply:
% 268.59/41.78  |   (1228)  all_950_1 = all_657_0
% 268.59/41.78  | 
% 268.59/41.78  | COMBINE_EQS: (1125), (1203) imply:
% 268.59/41.79  |   (1229)  all_959_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1098), (1228) imply:
% 268.59/41.79  |   (1230)  all_965_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1059), (1212) imply:
% 268.59/41.79  |   (1231)  all_971_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1061), (1215) imply:
% 268.59/41.79  |   (1232)  all_977_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1129), (1208) imply:
% 268.59/41.79  |   (1233)  all_1064_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1100), (1208) imply:
% 268.59/41.79  |   (1234)  all_1067_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1064), (1207) imply:
% 268.59/41.79  |   (1235)  all_1139_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1121), (1203) imply:
% 268.59/41.79  |   (1236)  all_1151_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1067), (1210) imply:
% 268.59/41.79  |   (1237)  all_1166_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1111), (1203) imply:
% 268.59/41.79  |   (1238)  all_1175_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1094), (1224) imply:
% 268.59/41.79  |   (1239)  all_1181_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1072), (1211) imply:
% 268.59/41.79  |   (1240)  all_1187_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1075), (1206) imply:
% 268.59/41.79  |   (1241)  all_1193_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1077), (1203) imply:
% 268.59/41.79  |   (1242)  all_1199_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1080), (1223) imply:
% 268.59/41.79  |   (1243)  all_1205_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1083), (1220) imply:
% 268.59/41.79  |   (1244)  all_1208_2 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1096), (1208) imply:
% 268.59/41.79  |   (1245)  all_1226_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1088), (1228) imply:
% 268.59/41.79  |   (1246)  all_1229_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1090), (1208) imply:
% 268.59/41.79  |   (1247)  all_1249_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | COMBINE_EQS: (1092), (1224) imply:
% 268.59/41.79  |   (1248)  all_1254_1 = all_657_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (456), (1248) imply:
% 268.59/41.79  |   (1249)  number_number_of_nat(all_657_0) = all_1254_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (452), (1247) imply:
% 268.59/41.79  |   (1250)  number_number_of_nat(all_657_0) = all_1249_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (440), (1246) imply:
% 268.59/41.79  |   (1251)  number_number_of_nat(all_657_0) = all_1229_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (436), (1245) imply:
% 268.59/41.79  |   (1252)  number_number_of_nat(all_657_0) = all_1226_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (431), (1244) imply:
% 268.59/41.79  |   (1253)  number_number_of_nat(all_657_0) = all_1208_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (427), (1243) imply:
% 268.59/41.79  |   (1254)  number_number_of_nat(all_657_0) = all_1205_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (423), (1242) imply:
% 268.59/41.79  |   (1255)  number_number_of_nat(all_657_0) = all_1199_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (419), (1241) imply:
% 268.59/41.79  |   (1256)  number_number_of_nat(all_657_0) = all_1193_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (415), (1240) imply:
% 268.59/41.79  |   (1257)  number_number_of_nat(all_657_0) = all_1187_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (411), (1239) imply:
% 268.59/41.79  |   (1258)  number_number_of_nat(all_657_0) = all_1181_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (405), (1238) imply:
% 268.59/41.79  |   (1259)  number_number_of_nat(all_657_0) = all_1175_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (401), (1237) imply:
% 268.59/41.79  |   (1260)  number_number_of_nat(all_657_0) = all_1166_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (393), (1236) imply:
% 268.59/41.79  |   (1261)  number_number_of_nat(all_657_0) = all_1151_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (387), (1235) imply:
% 268.59/41.79  |   (1262)  number_number_of_nat(all_657_0) = all_1139_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (366), (1234) imply:
% 268.59/41.79  |   (1263)  number_number_of_nat(all_657_0) = all_1067_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (362), (1233) imply:
% 268.59/41.79  |   (1264)  number_number_of_nat(all_657_0) = all_1064_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (355), (1232) imply:
% 268.59/41.79  |   (1265)  number_number_of_nat(all_657_0) = all_977_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (351), (1231) imply:
% 268.59/41.79  |   (1266)  number_number_of_nat(all_657_0) = all_971_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (344), (1230) imply:
% 268.59/41.79  |   (1267)  number_number_of_nat(all_657_0) = all_965_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (340), (1229) imply:
% 268.59/41.79  |   (1268)  number_number_of_nat(all_657_0) = all_959_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (336), (1228) imply:
% 268.59/41.79  |   (1269)  number_number_of_nat(all_657_0) = all_950_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (330), (1227) imply:
% 268.59/41.79  |   (1270)  number_number_of_nat(all_657_0) = all_944_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (314), (1226) imply:
% 268.59/41.79  |   (1271)  number_number_of_nat(all_657_0) = all_872_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (310), (1225) imply:
% 268.59/41.79  |   (1272)  number_number_of_nat(all_657_0) = all_869_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (306), (1224) imply:
% 268.59/41.79  |   (1273)  number_number_of_nat(all_657_0) = all_866_2
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (298), (1223) imply:
% 268.59/41.79  |   (1274)  number_number_of_nat(all_657_0) = all_815_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (291), (1222) imply:
% 268.59/41.79  |   (1275)  number_number_of_nat(all_657_0) = all_803_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (287), (1221) imply:
% 268.59/41.79  |   (1276)  number_number_of_nat(all_657_0) = all_795_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (278), (1220) imply:
% 268.59/41.79  |   (1277)  number_number_of_nat(all_657_0) = all_792_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (274), (1219) imply:
% 268.59/41.79  |   (1278)  number_number_of_nat(all_657_0) = all_789_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (267), (1218) imply:
% 268.59/41.79  |   (1279)  number_number_of_nat(all_657_0) = all_783_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (263), (1217) imply:
% 268.59/41.79  |   (1280)  number_number_of_nat(all_657_0) = all_771_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (240), (1216) imply:
% 268.59/41.79  |   (1281)  number_number_of_nat(all_657_0) = all_723_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (221), (1214) imply:
% 268.59/41.79  |   (1282)  number_number_of_nat(all_657_0) = all_703_1
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (213), (1213) imply:
% 268.59/41.79  |   (1283)  number_number_of_nat(all_657_0) = all_699_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (209), (1212) imply:
% 268.59/41.79  |   (1284)  number_number_of_nat(all_657_0) = all_697_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (191), (1210) imply:
% 268.59/41.79  |   (1285)  number_number_of_nat(all_657_0) = all_685_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (187), (1209) imply:
% 268.59/41.79  |   (1286)  number_number_of_nat(all_657_0) = all_683_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (183), (1208) imply:
% 268.59/41.79  |   (1287)  number_number_of_nat(all_657_0) = all_681_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (176), (1203) imply:
% 268.59/41.79  |   (1288)  number_number_of_nat(all_657_0) = all_674_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (172), (1206) imply:
% 268.59/41.79  |   (1289)  number_number_of_nat(all_657_0) = all_672_2
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (166), (1207) imply:
% 268.59/41.79  |   (1290)  number_number_of_nat(all_657_0) = all_662_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (286), (1041) imply:
% 268.59/41.79  |   (1291)  power_power_int(all_701_1) = all_795_3
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (1038), (1165) imply:
% 268.59/41.79  |   (1292)  hAPP_int_bool(all_549_1, all_701_1) = all_714_0
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (227), (1165) imply:
% 268.59/41.79  |   (1293)  int(all_701_1)
% 268.59/41.79  | 
% 268.59/41.79  | REDUCE: (165), (1207) imply:
% 268.59/41.79  |   (1294)  int(all_657_0)
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_662_0, all_683_0, all_657_0,
% 268.59/41.79  |              simplifying with (1286), (1290) gives:
% 268.59/41.79  |   (1295)  all_683_0 = all_662_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_723_0, all_783_0, all_657_0,
% 268.59/41.79  |              simplifying with (1279), (1281) gives:
% 268.59/41.79  |   (1296)  all_783_0 = all_723_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_783_0, all_792_0, all_657_0,
% 268.59/41.79  |              simplifying with (1277), (1279) gives:
% 268.59/41.79  |   (1297)  all_792_0 = all_783_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_792_0, all_795_0, all_657_0,
% 268.59/41.79  |              simplifying with (1276), (1277) gives:
% 268.59/41.79  |   (1298)  all_795_0 = all_792_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_795_0, all_803_0, all_657_0,
% 268.59/41.79  |              simplifying with (1275), (1276) gives:
% 268.59/41.79  |   (1299)  all_803_0 = all_795_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_723_0, all_869_0, all_657_0,
% 268.59/41.79  |              simplifying with (1272), (1281) gives:
% 268.59/41.79  |   (1300)  all_869_0 = all_723_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_803_0, all_872_0, all_657_0,
% 268.59/41.79  |              simplifying with (1271), (1275) gives:
% 268.59/41.79  |   (1301)  all_872_0 = all_803_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_869_0, all_944_0, all_657_0,
% 268.59/41.79  |              simplifying with (1270), (1272) gives:
% 268.59/41.79  |   (1302)  all_944_0 = all_869_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_703_1, all_944_0, all_657_0,
% 268.59/41.79  |              simplifying with (1270), (1282) gives:
% 268.59/41.79  |   (1303)  all_944_0 = all_703_1
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_872_0, all_950_0, all_657_0,
% 268.59/41.79  |              simplifying with (1269), (1271) gives:
% 268.59/41.79  |   (1304)  all_950_0 = all_872_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_866_2, all_965_0, all_657_0,
% 268.59/41.79  |              simplifying with (1267), (1273) gives:
% 268.59/41.79  |   (1305)  all_965_0 = all_866_2
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_965_0, all_971_0, all_657_0,
% 268.59/41.79  |              simplifying with (1266), (1267) gives:
% 268.59/41.79  |   (1306)  all_971_0 = all_965_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_683_0, all_977_0, all_657_0,
% 268.59/41.79  |              simplifying with (1265), (1286) gives:
% 268.59/41.79  |   (1307)  all_977_0 = all_683_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_674_0, all_977_0, all_657_0,
% 268.59/41.79  |              simplifying with (1265), (1288) gives:
% 268.59/41.79  |   (1308)  all_977_0 = all_674_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_672_2, all_977_0, all_657_0,
% 268.59/41.79  |              simplifying with (1265), (1289) gives:
% 268.59/41.79  |   (1309)  all_977_0 = all_672_2
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_950_0, all_1067_0, all_657_0,
% 268.59/41.79  |              simplifying with (1263), (1269) gives:
% 268.59/41.79  |   (1310)  all_1067_0 = all_950_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_697_0, all_1067_0, all_657_0,
% 268.59/41.79  |              simplifying with (1263), (1284) gives:
% 268.59/41.79  |   (1311)  all_1067_0 = all_697_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_771_0, all_1139_1, all_657_0,
% 268.59/41.79  |              simplifying with (1262), (1280) gives:
% 268.59/41.79  |   (1312)  all_1139_1 = all_771_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_965_0, all_1151_1, all_657_0,
% 268.59/41.79  |              simplifying with (1261), (1267) gives:
% 268.59/41.79  |   (1313)  all_1151_1 = all_965_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1064_0, all_1166_1, all_657_0,
% 268.59/41.79  |              simplifying with (1260), (1264) gives:
% 268.59/41.79  |   (1314)  all_1166_1 = all_1064_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_971_0, all_1166_1, all_657_0,
% 268.59/41.79  |              simplifying with (1260), (1266) gives:
% 268.59/41.79  |   (1315)  all_1166_1 = all_971_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_959_0, all_1166_1, all_657_0,
% 268.59/41.79  |              simplifying with (1260), (1268) gives:
% 268.59/41.79  |   (1316)  all_1166_1 = all_959_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1151_1, all_1175_1, all_657_0,
% 268.59/41.79  |              simplifying with (1259), (1261) gives:
% 268.59/41.79  |   (1317)  all_1175_1 = all_1151_1
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_869_0, all_1181_1, all_657_0,
% 268.59/41.79  |              simplifying with (1258), (1272) gives:
% 268.59/41.79  |   (1318)  all_1181_1 = all_869_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_699_0, all_1181_1, all_657_0,
% 268.59/41.79  |              simplifying with (1258), (1283) gives:
% 268.59/41.79  |   (1319)  all_1181_1 = all_699_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_866_2, all_1187_1, all_657_0,
% 268.59/41.79  |              simplifying with (1257), (1273) gives:
% 268.59/41.79  |   (1320)  all_1187_1 = all_866_2
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_815_0, all_1187_1, all_657_0,
% 268.59/41.79  |              simplifying with (1257), (1274) gives:
% 268.59/41.79  |   (1321)  all_1187_1 = all_815_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_869_0, all_1199_1, all_657_0,
% 268.59/41.79  |              simplifying with (1255), (1272) gives:
% 268.59/41.79  |   (1322)  all_1199_1 = all_869_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_685_0, all_1199_1, all_657_0,
% 268.59/41.79  |              simplifying with (1255), (1285) gives:
% 268.59/41.79  |   (1323)  all_1199_1 = all_685_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_683_0, all_1199_1, all_657_0,
% 268.59/41.79  |              simplifying with (1255), (1286) gives:
% 268.59/41.79  |   (1324)  all_1199_1 = all_683_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1175_1, all_1205_1, all_657_0,
% 268.59/41.79  |              simplifying with (1254), (1259) gives:
% 268.59/41.79  |   (1325)  all_1205_1 = all_1175_1
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1187_1, all_1208_1, all_657_0,
% 268.59/41.79  |              simplifying with (1253), (1257) gives:
% 268.59/41.79  |   (1326)  all_1208_1 = all_1187_1
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1181_1, all_1208_1, all_657_0,
% 268.59/41.79  |              simplifying with (1253), (1258) gives:
% 268.59/41.79  |   (1327)  all_1208_1 = all_1181_1
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1139_1, all_1208_1, all_657_0,
% 268.59/41.79  |              simplifying with (1253), (1262) gives:
% 268.59/41.79  |   (1328)  all_1208_1 = all_1139_1
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_789_0, all_1208_1, all_657_0,
% 268.59/41.79  |              simplifying with (1253), (1278) gives:
% 268.59/41.79  |   (1329)  all_1208_1 = all_789_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1205_1, all_1226_0, all_657_0,
% 268.59/41.79  |              simplifying with (1252), (1254) gives:
% 268.59/41.79  |   (1330)  all_1226_0 = all_1205_1
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1229_0, all_1249_0, all_657_0,
% 268.59/41.79  |              simplifying with (1250), (1251) gives:
% 268.59/41.79  |   (1331)  all_1249_0 = all_1229_0
% 268.59/41.79  | 
% 268.59/41.79  | GROUND_INST: instantiating (111) with all_1226_0, all_1249_0, all_657_0,
% 268.59/41.79  |              simplifying with (1250), (1252) gives:
% 268.59/41.80  |   (1332)  all_1249_0 = all_1226_0
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (111) with all_681_0, all_1249_0, all_657_0,
% 268.59/41.80  |              simplifying with (1250), (1287) gives:
% 268.59/41.80  |   (1333)  all_1249_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (111) with all_1208_1, all_1254_0, all_657_0,
% 268.59/41.80  |              simplifying with (1249), (1253) gives:
% 268.59/41.80  |   (1334)  all_1254_0 = all_1208_1
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (111) with all_1193_1, all_1254_0, all_657_0,
% 268.59/41.80  |              simplifying with (1249), (1256) gives:
% 268.59/41.80  |   (1335)  all_1254_0 = all_1193_1
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1334), (1335) imply:
% 268.59/41.80  |   (1336)  all_1208_1 = all_1193_1
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1336) implies:
% 268.59/41.80  |   (1337)  all_1208_1 = all_1193_1
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1331), (1333) imply:
% 268.59/41.80  |   (1338)  all_1229_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1331), (1332) imply:
% 268.59/41.80  |   (1339)  all_1229_0 = all_1226_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1338), (1339) imply:
% 268.59/41.80  |   (1340)  all_1226_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1340) implies:
% 268.59/41.80  |   (1341)  all_1226_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1330), (1341) imply:
% 268.59/41.80  |   (1342)  all_1205_1 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1342) implies:
% 268.59/41.80  |   (1343)  all_1205_1 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1328), (1337) imply:
% 268.59/41.80  |   (1344)  all_1193_1 = all_1139_1
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1329), (1337) imply:
% 268.59/41.80  |   (1345)  all_1193_1 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1327), (1337) imply:
% 268.59/41.80  |   (1346)  all_1193_1 = all_1181_1
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1326), (1337) imply:
% 268.59/41.80  |   (1347)  all_1193_1 = all_1187_1
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1325), (1343) imply:
% 268.59/41.80  |   (1348)  all_1175_1 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1348) implies:
% 268.59/41.80  |   (1349)  all_1175_1 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1323), (1324) imply:
% 268.59/41.80  |   (1350)  all_685_0 = all_683_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1322), (1323) imply:
% 268.59/41.80  |   (1351)  all_869_0 = all_685_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1351) implies:
% 268.59/41.80  |   (1352)  all_869_0 = all_685_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1345), (1346) imply:
% 268.59/41.80  |   (1353)  all_1181_1 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1353) implies:
% 268.59/41.80  |   (1354)  all_1181_1 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1345), (1347) imply:
% 268.59/41.80  |   (1355)  all_1187_1 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1355) implies:
% 268.59/41.80  |   (1356)  all_1187_1 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1344), (1345) imply:
% 268.59/41.80  |   (1357)  all_1139_1 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1357) implies:
% 268.59/41.80  |   (1358)  all_1139_1 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1320), (1321) imply:
% 268.59/41.80  |   (1359)  all_866_2 = all_815_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1359) implies:
% 268.59/41.80  |   (1360)  all_866_2 = all_815_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1321), (1356) imply:
% 268.59/41.80  |   (1361)  all_815_0 = all_789_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1318), (1319) imply:
% 268.59/41.80  |   (1362)  all_869_0 = all_699_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1362) implies:
% 268.59/41.80  |   (1363)  all_869_0 = all_699_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1319), (1354) imply:
% 268.59/41.80  |   (1364)  all_789_0 = all_699_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1364) implies:
% 268.59/41.80  |   (1365)  all_789_0 = all_699_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1317), (1349) imply:
% 268.59/41.80  |   (1366)  all_1151_1 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1366) implies:
% 268.59/41.80  |   (1367)  all_1151_1 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1314), (1316) imply:
% 268.59/41.80  |   (1368)  all_1064_0 = all_959_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1314), (1315) imply:
% 268.59/41.80  |   (1369)  all_1064_0 = all_971_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1313), (1367) imply:
% 268.59/41.80  |   (1370)  all_965_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1370) implies:
% 268.59/41.80  |   (1371)  all_965_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1312), (1358) imply:
% 268.59/41.80  |   (1372)  all_789_0 = all_771_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1372) implies:
% 268.59/41.80  |   (1373)  all_789_0 = all_771_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1310), (1311) imply:
% 268.59/41.80  |   (1374)  all_950_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1374) implies:
% 268.59/41.80  |   (1375)  all_950_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1368), (1369) imply:
% 268.59/41.80  |   (1376)  all_971_0 = all_959_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1376) implies:
% 268.59/41.80  |   (1377)  all_971_0 = all_959_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1308), (1309) imply:
% 268.59/41.80  |   (1378)  all_674_0 = all_672_2
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1307), (1308) imply:
% 268.59/41.80  |   (1379)  all_683_0 = all_674_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1379) implies:
% 268.59/41.80  |   (1380)  all_683_0 = all_674_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1306), (1377) imply:
% 268.59/41.80  |   (1381)  all_965_0 = all_959_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1381) implies:
% 268.59/41.80  |   (1382)  all_965_0 = all_959_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1305), (1382) imply:
% 268.59/41.80  |   (1383)  all_959_0 = all_866_2
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1371), (1382) imply:
% 268.59/41.80  |   (1384)  all_959_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1383), (1384) imply:
% 268.59/41.80  |   (1385)  all_866_2 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1385) implies:
% 268.59/41.80  |   (1386)  all_866_2 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1304), (1375) imply:
% 268.59/41.80  |   (1387)  all_872_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1387) implies:
% 268.59/41.80  |   (1388)  all_872_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1302), (1303) imply:
% 268.59/41.80  |   (1389)  all_869_0 = all_703_1
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1389) implies:
% 268.59/41.80  |   (1390)  all_869_0 = all_703_1
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1301), (1388) imply:
% 268.59/41.80  |   (1391)  all_803_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1391) implies:
% 268.59/41.80  |   (1392)  all_803_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1352), (1390) imply:
% 268.59/41.80  |   (1393)  all_703_1 = all_685_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1300), (1390) imply:
% 268.59/41.80  |   (1394)  all_723_0 = all_703_1
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1394) implies:
% 268.59/41.80  |   (1395)  all_723_0 = all_703_1
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1363), (1390) imply:
% 268.59/41.80  |   (1396)  all_703_1 = all_699_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1360), (1386) imply:
% 268.59/41.80  |   (1397)  all_815_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1397) implies:
% 268.59/41.80  |   (1398)  all_815_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1361), (1398) imply:
% 268.59/41.80  |   (1399)  all_789_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1399) implies:
% 268.59/41.80  |   (1400)  all_789_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1299), (1392) imply:
% 268.59/41.80  |   (1401)  all_795_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1401) implies:
% 268.59/41.80  |   (1402)  all_795_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1298), (1402) imply:
% 268.59/41.80  |   (1403)  all_792_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1403) implies:
% 268.59/41.80  |   (1404)  all_792_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1297), (1404) imply:
% 268.59/41.80  |   (1405)  all_783_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1405) implies:
% 268.59/41.80  |   (1406)  all_783_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1365), (1373) imply:
% 268.59/41.80  |   (1407)  all_771_0 = all_699_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1373), (1400) imply:
% 268.59/41.80  |   (1408)  all_771_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1296), (1406) imply:
% 268.59/41.80  |   (1409)  all_723_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1409) implies:
% 268.59/41.80  |   (1410)  all_723_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1407), (1408) imply:
% 268.59/41.80  |   (1411)  all_699_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1411) implies:
% 268.59/41.80  |   (1412)  all_699_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1395), (1410) imply:
% 268.59/41.80  |   (1413)  all_703_1 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1413) implies:
% 268.59/41.80  |   (1414)  all_703_1 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1396), (1414) imply:
% 268.59/41.80  |   (1415)  all_699_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1415) implies:
% 268.59/41.80  |   (1416)  all_699_0 = all_697_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1393), (1414) imply:
% 268.59/41.80  |   (1417)  all_697_0 = all_685_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1412), (1416) imply:
% 268.59/41.80  |   (1418)  all_697_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1418) implies:
% 268.59/41.80  |   (1419)  all_697_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1417), (1419) imply:
% 268.59/41.80  |   (1420)  all_685_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1420) implies:
% 268.59/41.80  |   (1421)  all_685_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1350), (1421) imply:
% 268.59/41.80  |   (1422)  all_683_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1422) implies:
% 268.59/41.80  |   (1423)  all_683_0 = all_681_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1295), (1423) imply:
% 268.59/41.80  |   (1424)  all_681_0 = all_662_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1380), (1423) imply:
% 268.59/41.80  |   (1425)  all_681_0 = all_674_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1424), (1425) imply:
% 268.59/41.80  |   (1426)  all_674_0 = all_662_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1426) implies:
% 268.59/41.80  |   (1427)  all_674_0 = all_662_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1378), (1427) imply:
% 268.59/41.80  |   (1428)  all_672_2 = all_662_0
% 268.59/41.80  | 
% 268.59/41.80  | SIMP: (1428) implies:
% 268.59/41.80  |   (1429)  all_672_2 = all_662_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1419), (1424) imply:
% 268.59/41.80  |   (1430)  all_697_0 = all_662_0
% 268.59/41.80  | 
% 268.59/41.80  | COMBINE_EQS: (1402), (1430) imply:
% 268.59/41.80  |   (1431)  all_795_0 = all_662_0
% 268.59/41.80  | 
% 268.59/41.80  | REDUCE: (284), (1431) imply:
% 268.59/41.80  |   (1432)  hAPP_nat_int(all_795_3, all_662_0) = zero_zero_int
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (36) with one_one_nat, one_one_int, simplifying
% 268.59/41.80  |              with (60), (104) gives:
% 268.59/41.80  |   (1433)  number_number_of_int(one_one_int) = one_one_int & int(one_one_int)
% 268.59/41.80  | 
% 268.59/41.80  | ALPHA: (1433) implies:
% 268.59/41.80  |   (1434)  int(one_one_int)
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (36) with n, all_701_2, simplifying with (107),
% 268.59/41.80  |              (218) gives:
% 268.59/41.80  |   (1435)  number_number_of_int(all_701_2) = all_701_2 & int(all_701_2)
% 268.59/41.80  | 
% 268.59/41.80  | ALPHA: (1435) implies:
% 268.59/41.80  |   (1436)  int(all_701_2)
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (349) with zero_zero_int, all_701_2, one_one_int,
% 268.59/41.80  |              all_549_1, all_574_0, all_701_1, all_714_0, simplifying with
% 268.59/41.80  |              (144), (148), (1037), (1039), (1292), (1434), (1436) gives:
% 268.59/41.80  |   (1437)   ? [v0: bool] :  ? [v1: any] :  ? [v2: fun_int_bool] :  ? [v3: bool]
% 268.59/41.80  |           :  ? [v4: any] :  ? [v5: any] :
% 268.59/41.80  |           (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v2 &
% 268.59/41.80  |             hAPP_int_bool(v2, all_701_2) = v3 & hAPP_int_bool(all_968_0,
% 268.59/41.80  |               one_one_int) = v0 & hBOOL(v3) = v4 & hBOOL(v0) = v1 &
% 268.59/41.80  |             hBOOL(all_714_0) = v5 & fun_int_bool(v2) & bool(v3) & bool(v0) & (
% 268.59/41.80  |               ~ (v4 = 0) |  ~ (v1 = 0) | v5 = 0))
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (321) with zero_zero_int, all_701_2, one_one_int,
% 268.59/41.80  |              all_549_1, all_574_0, all_701_1, all_714_0, simplifying with
% 268.59/41.80  |              (144), (148), (1037), (1039), (1292), (1434), (1436) gives:
% 268.59/41.80  |   (1438)   ? [v0: bool] :  ? [v1: any] :  ? [v2: bool] :  ? [v3: any] :  ?
% 268.59/41.80  |           [v4: any] : (hAPP_int_bool(all_905_0, one_one_int) = v0 &
% 268.59/41.80  |             hAPP_int_bool(all_549_1, all_701_2) = v2 & hBOOL(v2) = v3 &
% 268.59/41.80  |             hBOOL(v0) = v1 & hBOOL(all_714_0) = v4 & bool(v2) & bool(v0) & ( ~
% 268.59/41.80  |               (v3 = 0) |  ~ (v1 = 0) | v4 = 0))
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (319) with zero_zero_int, all_701_2, one_one_int,
% 268.59/41.80  |              all_549_1, all_574_0, all_701_1, all_714_0, simplifying with
% 268.59/41.80  |              (144), (148), (1037), (1039), (1292), (1434), (1436) gives:
% 268.59/41.80  |   (1439)   ? [v0: bool] :  ? [v1: any] :  ? [v2: bool] :  ? [v3: any] :  ?
% 268.59/41.80  |           [v4: any] : (hAPP_int_bool(all_878_0, one_one_int) = v0 &
% 268.59/41.80  |             hAPP_int_bool(all_549_1, all_701_2) = v2 & hBOOL(v2) = v3 &
% 268.59/41.80  |             hBOOL(v0) = v1 & hBOOL(all_714_0) = v4 & bool(v2) & bool(v0) & ( ~
% 268.59/41.80  |               (v3 = 0) |  ~ (v1 = 0) | v4 = 0))
% 268.59/41.80  | 
% 268.59/41.80  | GROUND_INST: instantiating (68) with zero_zero_int, all_701_1, all_549_1,
% 268.59/41.80  |              all_714_0, simplifying with (144), (1039), (1292), (1293) gives:
% 268.59/41.81  |   (1440)   ? [v0: any] :  ? [v1: fun_int_bool] :  ? [v2: bool] :  ? [v3: any]
% 268.59/41.81  |           : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 268.59/41.81  |             hAPP_int_bool(v1, all_701_1) = v2 & hBOOL(v2) = v3 &
% 268.59/41.81  |             hBOOL(all_714_0) = v0 & fun_int_bool(v1) & bool(v2) & ( ~ (v0 = 0)
% 268.59/41.81  |               | (v3 = 0 &  ~ (all_701_1 = zero_zero_int))))
% 268.59/41.81  | 
% 268.59/41.81  | GROUND_INST: instantiating (33) with all_701_1, all_657_0, all_795_3,
% 268.59/41.81  |              all_662_0, simplifying with (1290), (1291), (1293), (1294),
% 268.59/41.81  |              (1432) gives:
% 268.59/41.81  |   (1441)  all_701_1 = zero_zero_int &  ~ (all_662_0 = zero_zero_nat)
% 268.59/41.81  | 
% 268.59/41.81  | ALPHA: (1441) implies:
% 268.59/41.81  |   (1442)  all_701_1 = zero_zero_int
% 268.59/41.81  | 
% 268.59/41.81  | DELTA: instantiating (1440) with fresh symbols all_1541_0, all_1541_1,
% 268.59/41.81  |        all_1541_2, all_1541_3 gives:
% 268.59/41.81  |   (1443)  hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1541_2
% 268.59/41.81  |           & hAPP_int_bool(all_1541_2, all_701_1) = all_1541_1 &
% 268.59/41.81  |           hBOOL(all_1541_1) = all_1541_0 & hBOOL(all_714_0) = all_1541_3 &
% 268.59/41.81  |           fun_int_bool(all_1541_2) & bool(all_1541_1) & ( ~ (all_1541_3 = 0) |
% 268.59/41.81  |             (all_1541_0 = 0 &  ~ (all_701_1 = zero_zero_int)))
% 268.59/41.81  | 
% 268.59/41.81  | ALPHA: (1443) implies:
% 268.59/41.81  |   (1444)  hBOOL(all_714_0) = all_1541_3
% 268.59/41.81  |   (1445)   ~ (all_1541_3 = 0) | (all_1541_0 = 0 &  ~ (all_701_1 =
% 268.59/41.81  |               zero_zero_int))
% 268.59/41.81  | 
% 268.59/41.81  | DELTA: instantiating (1439) with fresh symbols all_1553_0, all_1553_1,
% 268.59/41.81  |        all_1553_2, all_1553_3, all_1553_4 gives:
% 268.59/41.81  |   (1446)  hAPP_int_bool(all_878_0, one_one_int) = all_1553_4 &
% 268.59/41.81  |           hAPP_int_bool(all_549_1, all_701_2) = all_1553_2 & hBOOL(all_1553_2)
% 268.59/41.81  |           = all_1553_1 & hBOOL(all_1553_4) = all_1553_3 & hBOOL(all_714_0) =
% 268.59/41.81  |           all_1553_0 & bool(all_1553_2) & bool(all_1553_4) & ( ~ (all_1553_1 =
% 268.59/41.81  |               0) |  ~ (all_1553_3 = 0) | all_1553_0 = 0)
% 268.59/41.81  | 
% 268.59/41.81  | ALPHA: (1446) implies:
% 268.59/41.81  |   (1447)  hBOOL(all_714_0) = all_1553_0
% 268.59/41.81  | 
% 268.59/41.81  | DELTA: instantiating (1438) with fresh symbols all_1561_0, all_1561_1,
% 268.59/41.81  |        all_1561_2, all_1561_3, all_1561_4 gives:
% 268.59/41.81  |   (1448)  hAPP_int_bool(all_905_0, one_one_int) = all_1561_4 &
% 268.59/41.81  |           hAPP_int_bool(all_549_1, all_701_2) = all_1561_2 & hBOOL(all_1561_2)
% 268.59/41.81  |           = all_1561_1 & hBOOL(all_1561_4) = all_1561_3 & hBOOL(all_714_0) =
% 268.59/41.81  |           all_1561_0 & bool(all_1561_2) & bool(all_1561_4) & ( ~ (all_1561_1 =
% 268.59/41.81  |               0) |  ~ (all_1561_3 = 0) | all_1561_0 = 0)
% 268.59/41.81  | 
% 268.59/41.81  | ALPHA: (1448) implies:
% 268.59/41.81  |   (1449)  hBOOL(all_714_0) = all_1561_0
% 268.59/41.81  | 
% 268.59/41.81  | DELTA: instantiating (1437) with fresh symbols all_1821_0, all_1821_1,
% 268.59/41.81  |        all_1821_2, all_1821_3, all_1821_4, all_1821_5 gives:
% 268.59/41.81  |   (1450)  hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1821_3
% 268.59/41.81  |           & hAPP_int_bool(all_1821_3, all_701_2) = all_1821_2 &
% 268.59/41.81  |           hAPP_int_bool(all_968_0, one_one_int) = all_1821_5 &
% 268.59/41.81  |           hBOOL(all_1821_2) = all_1821_1 & hBOOL(all_1821_5) = all_1821_4 &
% 268.59/41.81  |           hBOOL(all_714_0) = all_1821_0 & fun_int_bool(all_1821_3) &
% 268.59/41.81  |           bool(all_1821_2) & bool(all_1821_5) & ( ~ (all_1821_1 = 0) |  ~
% 268.59/41.81  |             (all_1821_4 = 0) | all_1821_0 = 0)
% 268.59/41.81  | 
% 268.59/41.81  | ALPHA: (1450) implies:
% 268.59/41.81  |   (1451)  hBOOL(all_714_0) = all_1821_0
% 268.59/41.81  | 
% 268.59/41.81  | BETA: splitting (1445) gives:
% 268.59/41.81  | 
% 268.59/41.81  | Case 1:
% 268.59/41.81  | | 
% 268.59/41.81  | |   (1452)   ~ (all_1541_3 = 0)
% 268.59/41.81  | | 
% 268.59/41.81  | | GROUND_INST: instantiating (109) with all_1553_0, all_1561_0, all_714_0,
% 268.59/41.81  | |              simplifying with (1447), (1449) gives:
% 268.59/41.81  | |   (1453)  all_1561_0 = all_1553_0
% 268.59/41.81  | | 
% 268.59/41.81  | | GROUND_INST: instantiating (109) with all_1541_3, all_1561_0, all_714_0,
% 268.59/41.81  | |              simplifying with (1444), (1449) gives:
% 268.59/41.81  | |   (1454)  all_1561_0 = all_1541_3
% 268.59/41.81  | | 
% 268.59/41.81  | | GROUND_INST: instantiating (109) with 0, all_1821_0, all_714_0, simplifying
% 268.59/41.81  | |              with (228), (1451) gives:
% 268.59/41.81  | |   (1455)  all_1821_0 = 0
% 268.59/41.81  | | 
% 268.59/41.81  | | GROUND_INST: instantiating (109) with all_1561_0, all_1821_0, all_714_0,
% 268.59/41.81  | |              simplifying with (1449), (1451) gives:
% 268.59/41.81  | |   (1456)  all_1821_0 = all_1561_0
% 268.59/41.81  | | 
% 268.59/41.81  | | COMBINE_EQS: (1455), (1456) imply:
% 268.59/41.81  | |   (1457)  all_1561_0 = 0
% 268.59/41.81  | | 
% 268.59/41.81  | | SIMP: (1457) implies:
% 268.59/41.81  | |   (1458)  all_1561_0 = 0
% 268.59/41.81  | | 
% 268.59/41.81  | | COMBINE_EQS: (1453), (1454) imply:
% 268.59/41.81  | |   (1459)  all_1553_0 = all_1541_3
% 268.59/41.81  | | 
% 268.59/41.81  | | COMBINE_EQS: (1453), (1458) imply:
% 268.59/41.81  | |   (1460)  all_1553_0 = 0
% 268.59/41.81  | | 
% 268.59/41.81  | | COMBINE_EQS: (1459), (1460) imply:
% 268.59/41.81  | |   (1461)  all_1541_3 = 0
% 268.59/41.81  | | 
% 268.59/41.81  | | SIMP: (1461) implies:
% 268.59/41.81  | |   (1462)  all_1541_3 = 0
% 268.59/41.81  | | 
% 268.59/41.81  | | REDUCE: (1452), (1462) imply:
% 268.59/41.81  | |   (1463)  $false
% 268.59/41.81  | | 
% 268.59/41.81  | | CLOSE: (1463) is inconsistent.
% 268.59/41.81  | | 
% 268.59/41.81  | Case 2:
% 268.59/41.81  | | 
% 268.59/41.81  | |   (1464)  all_1541_0 = 0 &  ~ (all_701_1 = zero_zero_int)
% 268.59/41.81  | | 
% 268.59/41.81  | | ALPHA: (1464) implies:
% 268.59/41.81  | |   (1465)   ~ (all_701_1 = zero_zero_int)
% 268.59/41.81  | | 
% 268.59/41.81  | | REDUCE: (1442), (1465) imply:
% 268.59/41.81  | |   (1466)  $false
% 268.59/41.81  | | 
% 268.59/41.81  | | CLOSE: (1466) is inconsistent.
% 268.59/41.81  | | 
% 268.59/41.81  | End of split
% 268.59/41.81  | 
% 268.59/41.81  End of proof
% 268.59/41.81  % SZS output end Proof for theBenchmark
% 268.59/41.81  
% 268.59/41.81  41156ms
%------------------------------------------------------------------------------