TSTP Solution File: NUM925_3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM925_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n032.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 11:50:52 EDT 2023
% Result : Theorem 60.60s 8.74s
% Output : Proof 276.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM925_3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Aug 25 17:15:13 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.50 ________ _____
% 0.14/0.50 ___ __ \_________(_)________________________________
% 0.14/0.50 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.14/0.50 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.14/0.50 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.14/0.50
% 0.14/0.50 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.14/0.50 (2023-06-19)
% 0.14/0.50
% 0.14/0.50 (c) Philipp Rümmer, 2009-2023
% 0.14/0.50 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.14/0.50 Amanda Stjerna.
% 0.14/0.50 Free software under BSD-3-Clause.
% 0.14/0.50
% 0.14/0.50 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.14/0.50
% 0.14/0.50 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.14/0.51 Running up to 7 provers in parallel.
% 0.14/0.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.14/0.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.14/0.52 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.14/0.52 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.14/0.52 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.14/0.52 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.14/0.52 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 19.94/3.34 Prover 4: Preprocessing ...
% 19.94/3.38 Prover 1: Preprocessing ...
% 21.19/3.52 Prover 6: Preprocessing ...
% 21.19/3.52 Prover 0: Preprocessing ...
% 21.19/3.55 Prover 2: Preprocessing ...
% 21.88/3.65 Prover 3: Preprocessing ...
% 22.74/3.77 Prover 5: Preprocessing ...
% 53.63/7.84 Prover 3: Warning: ignoring some quantifiers
% 54.28/7.94 Prover 3: Constructing countermodel ...
% 56.01/8.16 Prover 1: Warning: ignoring some quantifiers
% 57.43/8.35 Prover 6: Proving ...
% 58.30/8.40 Prover 1: Constructing countermodel ...
% 60.60/8.74 Prover 3: proved (8215ms)
% 60.60/8.74
% 60.60/8.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.60/8.74
% 60.60/8.76 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 60.60/8.76 Prover 6: stopped
% 60.60/8.77 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 71.77/10.24 Prover 4: Warning: ignoring some quantifiers
% 72.51/10.33 Prover 7: Preprocessing ...
% 72.51/10.37 Prover 8: Preprocessing ...
% 75.74/10.71 Prover 4: Constructing countermodel ...
% 77.40/11.07 Prover 0: Proving ...
% 77.40/11.07 Prover 0: stopped
% 77.40/11.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 88.38/12.42 Prover 10: Preprocessing ...
% 89.05/12.57 Prover 8: Warning: ignoring some quantifiers
% 91.11/12.77 Prover 8: Constructing countermodel ...
% 92.45/12.96 Prover 5: Proving ...
% 92.45/12.97 Prover 5: stopped
% 93.14/12.98 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 97.49/13.55 Prover 7: Warning: ignoring some quantifiers
% 103.67/14.39 Prover 7: Constructing countermodel ...
% 104.66/14.55 Prover 11: Preprocessing ...
% 106.71/14.87 Prover 10: Warning: ignoring some quantifiers
% 107.72/14.95 Prover 2: Proving ...
% 107.72/14.95 Prover 2: stopped
% 107.72/14.97 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 108.98/15.13 Prover 10: Constructing countermodel ...
% 114.20/15.86 Prover 1: stopped
% 114.96/15.88 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 116.05/16.03 Prover 13: Preprocessing ...
% 121.66/16.92 Prover 16: Preprocessing ...
% 125.52/17.31 Prover 11: Warning: ignoring some quantifiers
% 127.67/17.56 Prover 11: Constructing countermodel ...
% 138.01/18.92 Prover 16: Warning: ignoring some quantifiers
% 138.01/18.93 Prover 13: Warning: ignoring some quantifiers
% 138.40/19.11 Prover 13: Constructing countermodel ...
% 138.40/19.12 Prover 16: Constructing countermodel ...
% 151.58/20.72 Prover 16: stopped
% 151.58/20.72 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 165.98/22.75 Prover 19: Preprocessing ...
% 173.89/23.72 Prover 13: stopped
% 182.07/24.90 Prover 19: Warning: ignoring some quantifiers
% 183.58/25.09 Prover 19: Constructing countermodel ...
% 201.99/27.85 Prover 4: stopped
% 210.74/29.21 Prover 7: stopped
% 214.28/29.84 Prover 19: stopped
% 267.31/39.91 Prover 10: Found proof (size 3530)
% 267.31/39.91 Prover 10: proved (28821ms)
% 267.31/39.91 Prover 11: stopped
% 267.31/39.92 Prover 8: stopped
% 267.31/39.92
% 267.31/39.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 267.31/39.92
% 272.89/45.03 % SZS output start Proof for theBenchmark
% 272.89/45.05 Assumptions after simplification:
% 272.89/45.05 ---------------------------------
% 272.89/45.05
% 272.89/45.05 (conj_0)
% 272.89/45.08 fun_nat_int(semiri1621563631at_int) & nat(n) & int(pls) & int(zero_zero_int) &
% 272.89/45.08 int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: fun_nat_int] : ?
% 272.89/45.08 [v3: int] : ? [v4: int] : ? [v5: nat] : (bit1(pls) = v3 & bit0(v3) = v4 &
% 272.89/45.08 number_number_of_nat(v4) = v5 & power_power_int(v1) = v2 & hAPP_nat_int(v2,
% 272.89/45.08 v5) = zero_zero_int & hAPP_nat_int(semiri1621563631at_int, n) = v0 &
% 272.89/45.08 plus_plus_int(one_one_int, v0) = v1 & fun_nat_int(v2) & nat(v5) & int(v4) &
% 272.89/45.08 int(v3) & int(v1) & int(v0))
% 272.89/45.08
% 272.89/45.08 (fact_0_n1pos)
% 272.89/45.08 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 272.89/45.08 nat(n) & int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] : ?
% 272.89/45.08 [v1: int] : ? [v2: int] : ? [v3: bool] :
% 272.89/45.08 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 272.89/45.08 hAPP_nat_int(semiri1621563631at_int, n) = v1 & plus_plus_int(one_one_int,
% 272.89/45.08 v1) = v2 & hAPP_int_bool(v0, v2) = v3 & fun_int_bool(v0) & int(v2) &
% 272.89/45.08 int(v1) & bool(v3) & hBOOL(v3))
% 272.89/45.08
% 272.89/45.08 (fact_1000_rel__simps_I9_J)
% 272.89/45.09 fun_int_fun_int_bool(ord_less_int) & int(min) & ? [v0: fun_int_bool] :
% 272.89/45.09 (hAPP_i1948725293t_bool(ord_less_int, min) = v0 & fun_int_bool(v0) & ! [v1:
% 272.89/45.09 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~
% 272.89/45.09 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit1(v1) = v3 &
% 272.89/45.09 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1:
% 272.89/45.09 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 272.89/45.09 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit1(v1) = v3 &
% 272.89/45.09 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~ hBOOL(v4))))
% 272.89/45.09
% 272.89/45.09 (fact_1002_rel__simps_I6_J)
% 273.19/45.09 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(min) & ? [v0:
% 273.19/45.09 fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int, min) =
% 273.19/45.09 v0 & hAPP_int_bool(v0, pls) = v1 & fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 273.19/45.09
% 273.19/45.09 (fact_1003_rel__simps_I3_J)
% 273.19/45.09 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(min) & ? [v0:
% 273.19/45.09 fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int, pls) =
% 273.19/45.09 v0 & hAPP_int_bool(v0, min) = v1 & fun_int_bool(v0) & bool(v1) & ~
% 273.19/45.09 hBOOL(v1))
% 273.19/45.09
% 273.19/45.09 (fact_1004_rel__simps_I8_J)
% 273.19/45.09 fun_int_fun_int_bool(ord_less_int) & int(min) & ? [v0: fun_int_bool] :
% 273.19/45.09 (hAPP_i1948725293t_bool(ord_less_int, min) = v0 & fun_int_bool(v0) & ! [v1:
% 273.19/45.09 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~
% 273.19/45.09 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 273.19/45.09 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1:
% 273.19/45.09 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 273.19/45.09 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 273.22/45.09 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~ hBOOL(v4))))
% 273.22/45.09
% 273.22/45.09 (fact_1007_bin__less__0__simps_I2_J)
% 273.22/45.10 fun_int_fun_int_bool(ord_less_int) & int(min) & int(zero_zero_int) & ? [v0:
% 273.22/45.10 fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int, min) =
% 273.22/45.10 v0 & hAPP_int_bool(v0, zero_zero_int) = v1 & fun_int_bool(v0) & bool(v1) &
% 273.22/45.10 hBOOL(v1))
% 273.22/45.10
% 273.22/45.10 (fact_1009_rel__simps_I20_J)
% 273.22/45.10 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(min) & ? [v0:
% 273.22/45.10 fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.22/45.10 pls) = v0 & hAPP_int_bool(v0, min) = v1 & fun_int_bool(v0) & bool(v1) & ~
% 273.22/45.10 hBOOL(v1))
% 273.22/45.10
% 273.22/45.10 (fact_1011_eq__number__of__Pls__Min)
% 273.22/45.10 int(pls) & int(min) & ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 273.22/45.10 number_number_of_int(pls) = v0 & number_number_of_int(min) = v1 & int(v1) &
% 273.22/45.10 int(v0))
% 273.22/45.10
% 273.22/45.10 (fact_1012_rel__simps_I7_J)
% 273.22/45.10 fun_int_fun_int_bool(ord_less_int) & int(min) & ? [v0: fun_int_bool] : ?
% 273.22/45.10 [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int, min) = v0 &
% 273.22/45.10 hAPP_int_bool(v0, min) = v1 & fun_int_bool(v0) & bool(v1) & ~ hBOOL(v1))
% 273.22/45.10
% 273.22/45.10 (fact_1022_zdvd__imp__le)
% 273.26/45.10 fun_int_fun_int_bool(dvd_dvd_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.26/45.10 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.26/45.10 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.26/45.10 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] : !
% 273.26/45.10 [v4: bool] : ( ~ (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~
% 273.26/45.10 (hAPP_int_bool(v3, v2) = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ?
% 273.26/45.10 [v5: bool] : ? [v6: fun_int_bool] : ? [v7: bool] :
% 273.26/45.10 ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v6 & hAPP_int_bool(v6, v2)
% 273.26/45.10 = v7 & fun_int_bool(v6) & bool(v7) & hBOOL(v7)) | (hAPP_int_bool(v0,
% 273.26/45.10 v2) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.26/45.10
% 273.26/45.10 (fact_1024_rel__simps_I25_J)
% 273.27/45.11 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.27/45.11 int(min) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.27/45.11 (hAPP_i1948725293t_bool(ord_less_eq_int, min) = v0 &
% 273.27/45.11 hAPP_i1948725293t_bool(ord_less_int, min) = v1 & fun_int_bool(v1) &
% 273.27/45.11 fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.27/45.11 = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.27/45.11 (bit0(v2) = v4 & hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) &
% 273.27/45.11 hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.27/45.11 = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.27/45.11 (bit0(v2) = v4 & hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & ~
% 273.27/45.11 hBOOL(v5))))
% 273.27/45.11
% 273.27/45.11 (fact_1029_zmult__eq__1__iff)
% 273.27/45.11 int(min) & int(one_one_int) & ? [v0: int] : (number_number_of_int(min) = v0 &
% 273.27/45.11 int(v0) & ! [v1: int] : ! [v2: int] : (v2 = v0 | v2 = one_one_int | ~
% 273.27/45.11 (times_times_int(v1, v2) = one_one_int) | ~ int(v2) | ~ int(v1)) & !
% 273.27/45.11 [v1: int] : ! [v2: int] : (v2 = v0 | v1 = one_one_int | ~
% 273.27/45.11 (times_times_int(v1, v2) = one_one_int) | ~ int(v2) | ~ int(v1)) & !
% 273.27/45.11 [v1: int] : ! [v2: int] : (v2 = one_one_int | v1 = v0 | ~
% 273.27/45.11 (times_times_int(v1, v2) = one_one_int) | ~ int(v2) | ~ int(v1)) & !
% 273.27/45.11 [v1: int] : ! [v2: int] : (v1 = v0 | v1 = one_one_int | ~
% 273.27/45.11 (times_times_int(v1, v2) = one_one_int) | ~ int(v2) | ~ int(v1)) & !
% 273.27/45.11 [v1: int] : (v1 = one_one_int | ~ (times_times_int(v0, v0) = v1)) & ! [v1:
% 273.27/45.11 int] : (v1 = one_one_int | ~ (times_times_int(one_one_int, one_one_int) =
% 273.27/45.11 v1)))
% 273.27/45.11
% 273.27/45.11 (fact_1030_pos__zmult__eq__1__iff__lemma)
% 273.27/45.11 int(min) & int(one_one_int) & ? [v0: int] : (number_number_of_int(min) = v0 &
% 273.27/45.11 int(v0) & ! [v1: int] : ! [v2: int] : (v1 = v0 | v1 = one_one_int | ~
% 273.27/45.11 (times_times_int(v1, v2) = one_one_int) | ~ int(v2) | ~ int(v1)))
% 273.27/45.11
% 273.27/45.11 (fact_1034__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096)
% 273.27/45.11 int(m) & int(pls) & int(min) & int(one_one_int) & ? [v0: int] : ? [v1: int]
% 273.27/45.11 : ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6:
% 273.27/45.11 fun_int_bool] : ? [v7: int] : ? [v8: bool] : (quadRes(v5) = v6 &
% 273.27/45.11 times_times_int(v3, m) = v4 & number_number_of_int(v2) = v3 &
% 273.27/45.11 number_number_of_int(min) = v7 & bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) =
% 273.27/45.11 v1 & plus_plus_int(v4, one_one_int) = v5 & hAPP_int_bool(v6, v7) = v8 &
% 273.27/45.11 fun_int_bool(v6) & int(v7) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1)
% 273.27/45.11 & int(v0) & bool(v8) & hBOOL(v8))
% 273.27/45.11
% 273.27/45.11 (fact_1035_s)
% 273.27/45.12 int(s) & int(m) & int(pls) & int(min) & int(one_one_int) & ? [v0:
% 273.27/45.12 fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] : ? [v4: int] :
% 273.27/45.12 ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: int] : ? [v8: int] : ? [v9:
% 273.27/45.12 int] : ? [v10: int] : ? [v11: bool] : (zcong(v4, v5) = v6 &
% 273.27/45.12 times_times_int(v8, m) = v9 & number_number_of_int(v7) = v8 &
% 273.27/45.12 number_number_of_int(min) = v5 & bit1(pls) = v1 & bit0(v2) = v7 & bit0(v1) =
% 273.27/45.12 v2 & number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 273.27/45.12 hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v9, one_one_int) = v10 &
% 273.27/45.12 hAPP_int_bool(v6, v10) = v11 & fun_nat_int(v0) & fun_int_bool(v6) & nat(v3)
% 273.27/45.12 & int(v10) & int(v9) & int(v8) & int(v7) & int(v5) & int(v4) & int(v2) &
% 273.27/45.12 int(v1) & bool(v11) & hBOOL(v11))
% 273.27/45.12
% 273.27/45.12 (fact_1036__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_)
% 273.27/45.12 int(m) & int(pls) & int(min) & int(one_one_int) & ? [v0: int] : ? [v1: int]
% 273.27/45.12 : ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6:
% 273.27/45.12 fun_int_bool] : ? [v7: int] : ? [v8: bool] : ? [v9: int] :
% 273.27/45.12 (times_times_int(v3, m) = v4 & number_number_of_int(v2) = v3 &
% 273.27/45.12 number_number_of_int(min) = v7 & bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) =
% 273.27/45.12 v1 & plus_plus_int(v4, one_one_int) = v5 & int(v7) & int(v5) & int(v4) &
% 273.27/45.12 int(v3) & int(v2) & int(v1) & int(v0) & (( ~ (v9 = one_one_int) &
% 273.27/45.12 legendre(v7, v5) = v9 & int(v9)) | (quadRes(v5) = v6 & hAPP_int_bool(v6,
% 273.27/45.12 v7) = v8 & fun_int_bool(v6) & bool(v8) & hBOOL(v8))))
% 273.27/45.12
% 273.27/45.12 (fact_1037_s1)
% 273.27/45.12 int(s1) & int(m) & int(pls) & int(min) & int(one_one_int) & ? [v0:
% 273.27/45.12 fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] : ? [v4: int] :
% 273.27/45.12 ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: int] : ? [v8: int] : ? [v9:
% 273.27/45.12 int] : ? [v10: int] : ? [v11: bool] : (zcong(v4, v5) = v6 &
% 273.27/45.12 times_times_int(v8, m) = v9 & number_number_of_int(v7) = v8 &
% 273.27/45.12 number_number_of_int(min) = v5 & bit1(pls) = v1 & bit0(v2) = v7 & bit0(v1) =
% 273.27/45.12 v2 & number_number_of_nat(v2) = v3 & power_power_int(s1) = v0 &
% 273.27/45.12 hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v9, one_one_int) = v10 &
% 273.27/45.12 hAPP_int_bool(v6, v10) = v11 & fun_nat_int(v0) & fun_int_bool(v6) & nat(v3)
% 273.27/45.12 & int(v10) & int(v9) & int(v8) & int(v7) & int(v5) & int(v4) & int(v2) &
% 273.27/45.12 int(v1) & bool(v11) & hBOOL(v11))
% 273.27/45.12
% 273.27/45.12 (fact_1038_s0p)
% 273.27/45.13 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.27/45.13 int(s) & int(s1) & int(m) & int(pls) & int(zero_zero_int) & int(one_one_int) &
% 273.27/45.13 ? [v0: fun_int_bool] : ? [v1: bool] : ? [v2: fun_int_bool] : ? [v3: int] :
% 273.27/45.13 ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ?
% 273.27/45.13 [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool] : (zcong(s1, s) = v10 &
% 273.27/45.13 times_times_int(v6, m) = v7 & number_number_of_int(v5) = v6 & bit1(pls) = v3
% 273.27/45.13 & bit0(v4) = v5 & bit0(v3) = v4 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.27/45.13 zero_zero_int) = v0 & hAPP_i1948725293t_bool(ord_less_int, s) = v2 &
% 273.27/45.13 plus_plus_int(v7, one_one_int) = v8 & hAPP_int_bool(v10, v8) = v11 &
% 273.27/45.13 hAPP_int_bool(v2, v8) = v9 & hAPP_int_bool(v0, s) = v1 & fun_int_bool(v10) &
% 273.27/45.13 fun_int_bool(v2) & fun_int_bool(v0) & int(v8) & int(v7) & int(v6) & int(v5)
% 273.27/45.13 & int(v4) & int(v3) & bool(v11) & bool(v9) & bool(v1) & hBOOL(v11) &
% 273.27/45.13 hBOOL(v9) & hBOOL(v1))
% 273.27/45.13
% 273.27/45.13 (fact_1039__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4)
% 273.27/45.13 int(m) & int(pls) & int(min) & int(one_one_int) & ? [v0: int] : ? [v1: int]
% 273.27/45.13 : ? [v2: nat] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 273.27/45.13 ? [v7: int] : ? [v8: int] : ? [v9: fun_nat_int] : ? [v10: int] : ? [v11:
% 273.27/45.13 fun_int_bool] : ? [v12: bool] : (zcong(v10, v3) = v11 & times_times_int(v5,
% 273.27/45.13 m) = v6 & number_number_of_int(v4) = v5 & number_number_of_int(min) = v3 &
% 273.27/45.13 bit1(pls) = v0 & bit0(v1) = v4 & bit0(v0) = v1 & number_number_of_nat(v1) =
% 273.27/45.13 v2 & power_power_int(v8) = v9 & hAPP_nat_int(v9, v2) = v10 &
% 273.27/45.13 plus_plus_int(v6, one_one_int) = v7 & hAPP_int_bool(v11, v7) = v12 &
% 273.27/45.13 fun_nat_int(v9) & fun_int_bool(v11) & nat(v2) & int(v10) & int(v8) & int(v7)
% 273.27/45.13 & int(v6) & int(v5) & int(v4) & int(v3) & int(v1) & int(v0) & bool(v12) &
% 273.27/45.13 hBOOL(v12))
% 273.27/45.13
% 273.27/45.13 (fact_1062_zcong__less__eq)
% 273.27/45.13 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.27/45.13 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.27/45.13 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.27/45.13 bool] : ! [v5: bool] : ! [v6: bool] : (v3 = v2 | ~ (hAPP_int_bool(v0,
% 273.27/45.13 v3) = v4) | ~ (hAPP_int_bool(v0, v2) = v5) | ~ (hAPP_int_bool(v0,
% 273.27/45.13 v1) = v6) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v6) | ~
% 273.27/45.13 hBOOL(v5) | ~ hBOOL(v4) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9:
% 273.27/45.13 fun_int_bool] : ? [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool]
% 273.27/45.13 : ((zcong(v3, v2) = v7 & hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) &
% 273.27/45.13 bool(v8) & ~ hBOOL(v8)) | (hAPP_i1948725293t_bool(ord_less_int, v3) =
% 273.27/45.13 v9 & hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 273.27/45.13 hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_int, v2) = v11 &
% 273.27/45.13 hAPP_int_bool(v11, v1) = v12 & fun_int_bool(v11) & bool(v12) & ~
% 273.27/45.13 hBOOL(v12)))))
% 273.27/45.13
% 273.27/45.13 (fact_1063_zcong__not__zero)
% 273.27/45.13 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.27/45.13 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.27/45.13 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] : !
% 273.27/45.13 [v4: bool] : ( ~ (zcong(v2, zero_zero_int) = v3) | ~ (hAPP_int_bool(v3, v1)
% 273.27/45.13 = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ? [v5: bool] : ? [v6:
% 273.27/45.13 fun_int_bool] : ? [v7: bool] : ((hAPP_i1948725293t_bool(ord_less_int,
% 273.27/45.13 v2) = v6 & hAPP_int_bool(v6, v1) = v7 & fun_int_bool(v6) & bool(v7)
% 273.27/45.13 & ~ hBOOL(v7)) | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~
% 273.27/45.13 hBOOL(v5)))))
% 273.27/45.13
% 273.27/45.13 (fact_1066_Int2_Ozcong__zero)
% 273.27/45.13 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.27/45.13 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.27/45.13 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.27/45.13 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] : !
% 273.27/45.13 [v4: bool] : (v2 = zero_zero_int | ~ (zcong(v2, zero_zero_int) = v3) | ~
% 273.27/45.13 (hAPP_int_bool(v3, v1) = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ?
% 273.27/45.13 [v5: bool] : ? [v6: fun_int_bool] : ? [v7: bool] :
% 273.27/45.13 ((hAPP_i1948725293t_bool(ord_less_int, v2) = v6 & hAPP_int_bool(v6, v1) =
% 273.27/45.13 v7 & fun_int_bool(v6) & bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(v0,
% 273.27/45.13 v2) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.27/45.13
% 273.27/45.13 (fact_106_semiring__numeral__0__eq__0)
% 273.27/45.14 number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 273.27/45.14
% 273.27/45.14 (fact_1070_zcong__zprime__prod__zero)
% 273.27/45.14 fun_int_fun_int_bool(ord_less_int) & fun_int_bool(zprime) & int(zero_zero_int)
% 273.27/45.14 & ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int)
% 273.27/45.14 = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : !
% 273.27/45.14 [v4: int] : ! [v5: fun_int_bool] : ! [v6: bool] : ( ~ (zcong(v4,
% 273.27/45.14 zero_zero_int) = v5) | ~ (times_times_int(v2, v1) = v4) | ~
% 273.27/45.14 (hAPP_int_bool(v5, v3) = v6) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~
% 273.27/45.14 hBOOL(v6) | ? [v7: bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ?
% 273.27/45.14 [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] : ((zcong(v2,
% 273.27/45.14 zero_zero_int) = v9 & hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9)
% 273.27/45.14 & bool(v10) & hBOOL(v10)) | (zcong(v1, zero_zero_int) = v11 &
% 273.27/45.14 hAPP_int_bool(v11, v3) = v12 & fun_int_bool(v11) & bool(v12) &
% 273.27/45.14 hBOOL(v12)) | (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~ hBOOL(v8)) |
% 273.27/45.14 (hAPP_int_bool(zprime, v3) = v7 & bool(v7) & ~ hBOOL(v7)))))
% 273.27/45.14
% 273.27/45.14 (fact_1071_zcong__zprime__prod__zero__contra)
% 273.27/45.14 fun_int_fun_int_bool(ord_less_int) & fun_int_bool(zprime) & int(zero_zero_int)
% 273.27/45.14 & ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int)
% 273.27/45.14 = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : !
% 273.27/45.14 [v4: int] : ! [v5: fun_int_bool] : ! [v6: bool] : ( ~ (zcong(v4,
% 273.27/45.14 zero_zero_int) = v5) | ~ (times_times_int(v2, v1) = v4) | ~
% 273.27/45.14 (hAPP_int_bool(v5, v3) = v6) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~
% 273.27/45.14 hBOOL(v6) | ? [v7: bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ?
% 273.27/45.14 [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] : ((zcong(v2,
% 273.27/45.14 zero_zero_int) = v9 & hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9)
% 273.27/45.14 & bool(v10) & hBOOL(v10)) | (zcong(v1, zero_zero_int) = v11 &
% 273.27/45.14 hAPP_int_bool(v11, v3) = v12 & fun_int_bool(v11) & bool(v12) &
% 273.27/45.14 hBOOL(v12)) | (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~ hBOOL(v8)) |
% 273.27/45.14 (hAPP_int_bool(zprime, v3) = v7 & bool(v7) & ~ hBOOL(v7)))))
% 273.27/45.14
% 273.27/45.14 (fact_1075_transfer__nat__int__relations_I4_J)
% 273.27/45.14 fun_nat_fun_nat_bool(dvd_dvd_nat) & fun_int_fun_int_bool(dvd_dvd_int) &
% 273.27/45.14 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.27/45.14 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.27/45.14 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.27/45.14 fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~ (nat_1(v2) = v3) | ~
% 273.27/45.14 (nat_1(v1) = v5) | ~ (hAPP_n1699378549t_bool(dvd_dvd_nat, v3) = v4) | ~
% 273.27/45.14 (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7: bool] :
% 273.27/45.14 ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.27/45.14 ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 273.27/45.14 (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~ hBOOL(v8)) | (( ~ hBOOL(v6)
% 273.27/45.14 | (hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v9 & hAPP_int_bool(v9,
% 273.27/45.14 v1) = v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10))) &
% 273.27/45.14 (hBOOL(v6) | (hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v9 &
% 273.27/45.14 hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 273.27/45.14 hBOOL(v10)))))))
% 273.27/45.14
% 273.27/45.14 (fact_1077_nat__dvd__iff)
% 273.27/45.15 fun_nat_fun_nat_bool(dvd_dvd_nat) & fun_nat_int(semiri1621563631at_int) &
% 273.27/45.15 fun_int_fun_int_bool(dvd_dvd_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.27/45.15 nat(zero_zero_nat) & int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.27/45.15 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.27/45.15 fun_int_bool(v0) & ! [v1: int] : ! [v2: nat] : ! [v3: fun_int_bool] : !
% 273.27/45.15 [v4: int] : ! [v5: bool] : ( ~ (hAPP_i1948725293t_bool(dvd_dvd_int, v1) =
% 273.27/45.15 v3) | ~ (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~
% 273.27/45.15 (hAPP_int_bool(v3, v4) = v5) | ~ nat(v2) | ~ int(v1) | ? [v6: bool] :
% 273.27/45.15 ? [v7: nat] : ? [v8: fun_nat_bool] : ? [v9: bool] : ((nat_1(v1) = v7 &
% 273.27/45.15 hAPP_n1699378549t_bool(dvd_dvd_nat, v7) = v8 & hAPP_nat_bool(v8, v2) =
% 273.27/45.15 v9 & fun_nat_bool(v8) & nat(v7) & bool(v9) & hBOOL(v9)) |
% 273.27/45.15 (hAPP_int_bool(v0, v1) = v6 & bool(v6) & (( ~ (v2 = zero_zero_nat) & ~
% 273.27/45.15 hBOOL(v6)) | (hBOOL(v6) & ~ hBOOL(v5)))))) & ! [v1: int] : !
% 273.27/45.15 [v2: nat] : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 273.27/45.15 (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~
% 273.27/45.15 (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~ (hAPP_int_bool(v3,
% 273.27/45.15 v4) = v5) | ~ nat(v2) | ~ int(v1) | ? [v6: nat] : ? [v7:
% 273.27/45.15 fun_nat_bool] : ? [v8: bool] : ? [v9: bool] : ((nat_1(v1) = v6 &
% 273.27/45.15 hAPP_n1699378549t_bool(dvd_dvd_nat, v6) = v7 & hAPP_nat_bool(v7, v2) =
% 273.27/45.15 v8 & fun_nat_bool(v7) & nat(v6) & bool(v8) & ~ hBOOL(v8)) | ((v2 =
% 273.27/45.15 zero_zero_nat | (hAPP_int_bool(v0, v1) = v9 & bool(v9) & hBOOL(v9)))
% 273.27/45.15 & (hBOOL(v5) | (hAPP_int_bool(v0, v1) = v9 & bool(v9) & ~
% 273.27/45.15 hBOOL(v9)))))))
% 273.27/45.15
% 273.27/45.15 (fact_1078_zcong__neg__1__impl__ne__1)
% 273.27/45.15 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(min) & int(one_one_int) &
% 273.27/45.15 ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] : ? [v4:
% 273.27/45.15 int] : (number_number_of_int(v1) = v2 & number_number_of_int(min) = v4 &
% 273.27/45.15 bit1(pls) = v0 & bit0(v0) = v1 & hAPP_i1948725293t_bool(ord_less_int, v2) =
% 273.27/45.15 v3 & fun_int_bool(v3) & int(v4) & int(v2) & int(v1) & int(v0) & ! [v5: int]
% 273.27/45.15 : ! [v6: int] : ! [v7: fun_int_bool] : ! [v8: bool] : ( ~ (zcong(v5, v4)
% 273.27/45.15 = v7) | ~ (hAPP_int_bool(v7, v6) = v8) | ~ int(v6) | ~ int(v5) | ~
% 273.27/45.15 hBOOL(v8) | ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool] :
% 273.27/45.15 ((zcong(v5, one_one_int) = v10 & hAPP_int_bool(v10, v6) = v11 &
% 273.27/45.15 fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11)) | (hAPP_int_bool(v3,
% 273.27/45.15 v6) = v9 & bool(v9) & ~ hBOOL(v9)))))
% 273.27/45.15
% 273.27/45.15 (fact_1079_Euler_Oaux____1)
% 273.27/45.15 fun_int_fun_int_bool(dvd_dvd_int) & int(pls) & int(zero_zero_int) & ? [v0:
% 273.27/45.15 int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 273.27/45.15 number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & ! [v3: int] :
% 273.27/45.15 ! [v4: int] : ! [v5: int] : ! [v6: fun_nat_int] : ! [v7: int] : ! [v8:
% 273.27/45.15 fun_int_bool] : ! [v9: bool] : ( ~ (zcong(v7, v4) = v8) | ~
% 273.27/45.15 (power_power_int(v3) = v6) | ~ (hAPP_nat_int(v6, v2) = v7) | ~
% 273.27/45.15 (hAPP_int_bool(v8, v5) = v9) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~
% 273.27/45.15 hBOOL(v9) | ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 273.27/45.15 fun_int_bool] : ? [v13: bool] : ((zcong(v4, zero_zero_int) = v10 &
% 273.27/45.15 hAPP_int_bool(v10, v5) = v11 & fun_int_bool(v10) & bool(v11) &
% 273.27/45.15 hBOOL(v11)) | (hAPP_i1948725293t_bool(dvd_dvd_int, v5) = v12 &
% 273.27/45.15 hAPP_int_bool(v12, v3) = v13 & fun_int_bool(v12) & bool(v13) & ~
% 273.27/45.15 hBOOL(v13)))))
% 273.27/45.15
% 273.27/45.15 (fact_1080_divides__cases)
% 273.27/45.15 fun_nat_fun_nat_bool(dvd_dvd_nat) & fun_nat_fun_nat_bool(ord_less_eq_nat) &
% 273.27/45.15 nat(zero_zero_nat) & int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] :
% 273.27/45.15 (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 273.27/45.15 int(v1) & int(v0) & ! [v3: nat] : ! [v4: nat] : ! [v5: nat] : ! [v6:
% 273.27/45.15 fun_nat_bool] : ! [v7: bool] : (v4 = v3 | v4 = zero_zero_nat | ~
% 273.27/45.15 (times_times_nat(v2, v3) = v5) | ~
% 273.27/45.15 (hAPP_n1699378549t_bool(ord_less_eq_nat, v5) = v6) | ~ (hAPP_nat_bool(v6,
% 273.27/45.15 v4) = v7) | ~ nat(v4) | ~ nat(v3) | hBOOL(v7) | ? [v8:
% 273.27/45.15 fun_nat_bool] : ? [v9: bool] : (hAPP_n1699378549t_bool(dvd_dvd_nat, v3)
% 273.27/45.15 = v8 & hAPP_nat_bool(v8, v4) = v9 & fun_nat_bool(v8) & bool(v9) & ~
% 273.27/45.15 hBOOL(v9))))
% 273.27/45.15
% 273.27/45.15 (fact_1081_Legendre__1mod4)
% 273.27/45.16 fun_int_bool(zprime) & int(pls) & int(min) & int(one_one_int) & ? [v0: int] :
% 273.27/45.16 ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] :
% 273.27/45.16 (number_number_of_int(v2) = v3 & number_number_of_int(min) = v4 & bit1(pls) =
% 273.27/45.16 v0 & bit0(v1) = v2 & bit0(v0) = v1 & int(v4) & int(v3) & int(v2) & int(v1) &
% 273.27/45.16 int(v0) & ! [v5: int] : ! [v6: int] : ( ~ (times_times_int(v3, v5) = v6) |
% 273.27/45.16 ~ int(v5) | ? [v7: int] : ? [v8: bool] : ? [v9: int] :
% 273.27/45.16 (plus_plus_int(v6, one_one_int) = v7 & int(v7) & ((v9 = one_one_int &
% 273.27/45.16 legendre(v4, v7) = one_one_int) | (hAPP_int_bool(zprime, v7) = v8 &
% 273.27/45.16 bool(v8) & ~ hBOOL(v8))))))
% 273.27/45.16
% 273.27/45.16 (fact_1082__096_091s_____A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_)
% 273.27/45.16 int(s) & int(s1) & int(m) & int(pls) & int(one_one_int) & ? [v0: fun_nat_int]
% 273.27/45.16 : ? [v1: int] : ? [v2: int] : ? [v3: nat] : ? [v4: int] : ? [v5:
% 273.27/45.16 fun_nat_int] : ? [v6: int] : ? [v7: fun_int_bool] : ? [v8: int] : ? [v9:
% 273.27/45.16 int] : ? [v10: int] : ? [v11: int] : ? [v12: bool] : (zcong(v4, v6) = v7
% 273.27/45.16 & times_times_int(v9, m) = v10 & number_number_of_int(v8) = v9 & bit1(pls) =
% 273.27/45.16 v1 & bit0(v2) = v8 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.27/45.16 power_power_int(s) = v0 & power_power_int(s1) = v5 & hAPP_nat_int(v5, v3) =
% 273.27/45.16 v6 & hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v10, one_one_int) = v11 &
% 273.27/45.16 hAPP_int_bool(v7, v11) = v12 & fun_nat_int(v5) & fun_nat_int(v0) &
% 273.27/45.16 fun_int_bool(v7) & nat(v3) & int(v11) & int(v10) & int(v9) & int(v8) &
% 273.27/45.16 int(v6) & int(v4) & int(v2) & int(v1) & bool(v12) & hBOOL(v12))
% 273.27/45.16
% 273.27/45.16 (fact_1083__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s)
% 273.27/45.16 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.27/45.16 int(s1) & int(m) & int(pls) & int(zero_zero_int) & int(one_one_int) & ? [v0:
% 273.27/45.16 fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] :
% 273.27/45.16 ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: bool] : ? [v9:
% 273.27/45.16 fun_int_bool] : ? [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] :
% 273.27/45.16 (zcong(s1, v7) = v11 & times_times_int(v4, m) = v5 & number_number_of_int(v3)
% 273.27/45.16 = v4 & bit1(pls) = v1 & bit0(v2) = v3 & bit0(v1) = v2 &
% 273.27/45.16 hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.27/45.16 hAPP_i1948725293t_bool(ord_less_int, v7) = v9 & plus_plus_int(v5,
% 273.27/45.16 one_one_int) = v6 & hAPP_int_bool(v11, v6) = v12 & hAPP_int_bool(v9, v6) =
% 273.27/45.16 v10 & hAPP_int_bool(v0, v7) = v8 & fun_int_bool(v11) & fun_int_bool(v9) &
% 273.27/45.16 fun_int_bool(v0) & int(v7) & int(v6) & int(v5) & int(v4) & int(v3) & int(v2)
% 273.27/45.16 & int(v1) & bool(v12) & bool(v10) & bool(v8) & hBOOL(v12) & hBOOL(v10) &
% 273.27/45.16 hBOOL(v8) & ! [v13: int] : ! [v14: bool] : (v13 = v7 | ~
% 273.27/45.16 (hAPP_int_bool(v0, v13) = v14) | ~ int(v13) | ~ hBOOL(v14) | ? [v15:
% 273.27/45.16 fun_int_bool] : ? [v16: bool] : ? [v17: fun_int_bool] : ? [v18: bool]
% 273.27/45.16 : ((zcong(s1, v13) = v17 & hAPP_int_bool(v17, v6) = v18 &
% 273.27/45.16 fun_int_bool(v17) & bool(v18) & ~ hBOOL(v18)) |
% 273.27/45.16 (hAPP_i1948725293t_bool(ord_less_int, v13) = v15 & hAPP_int_bool(v15,
% 273.27/45.16 v6) = v16 & fun_int_bool(v15) & bool(v16) & ~ hBOOL(v16)))))
% 273.27/45.16
% 273.27/45.16 (fact_1085__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L)
% 273.27/45.17 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.27/45.17 int(s1) & int(m) & int(pls) & int(zero_zero_int) & int(one_one_int) & ? [v0:
% 273.27/45.17 fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] :
% 273.27/45.17 ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: bool] : ? [v9:
% 273.27/45.17 fun_int_bool] : ? [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] :
% 273.27/45.17 (zcong(s1, v7) = v11 & times_times_int(v4, m) = v5 & number_number_of_int(v3)
% 273.27/45.17 = v4 & bit1(pls) = v1 & bit0(v2) = v3 & bit0(v1) = v2 &
% 273.27/45.17 hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.27/45.17 hAPP_i1948725293t_bool(ord_less_int, v7) = v9 & plus_plus_int(v5,
% 273.27/45.17 one_one_int) = v6 & hAPP_int_bool(v11, v6) = v12 & hAPP_int_bool(v9, v6) =
% 273.27/45.17 v10 & hAPP_int_bool(v0, v7) = v8 & fun_int_bool(v11) & fun_int_bool(v9) &
% 273.27/45.17 fun_int_bool(v0) & int(v7) & int(v6) & int(v5) & int(v4) & int(v3) & int(v2)
% 273.27/45.17 & int(v1) & bool(v12) & bool(v10) & bool(v8) & hBOOL(v12) & hBOOL(v10) &
% 273.27/45.17 hBOOL(v8))
% 273.27/45.17
% 273.27/45.17 (fact_109_number__of__Pls)
% 273.27/45.17 number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 273.27/45.17
% 273.27/45.17 (fact_10_zero__eq__power2)
% 273.27/45.17 int(pls) & int(zero_zero_int) & ? [v0: int] : ? [v1: int] : ? [v2: nat] :
% 273.27/45.17 (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 273.27/45.17 int(v1) & int(v0) & ! [v3: int] : ! [v4: fun_nat_int] : (v3 =
% 273.27/45.17 zero_zero_int | ~ (power_power_int(v3) = v4) | ~ int(v3) | ? [v5: int]
% 273.27/45.17 : ( ~ (v5 = zero_zero_int) & hAPP_nat_int(v4, v2) = v5 & int(v5))) & !
% 273.27/45.17 [v3: fun_nat_int] : ( ~ (power_power_int(zero_zero_int) = v3) |
% 273.27/45.17 hAPP_nat_int(v3, v2) = zero_zero_int))
% 273.27/45.17
% 273.27/45.17 (fact_1116_neg__one__power__eq__mod__m)
% 273.27/45.17 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(min) & ? [v0: int] : ?
% 273.27/45.17 [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] : ? [v4: int] : ? [v5:
% 273.27/45.17 fun_nat_int] : (number_number_of_int(v1) = v2 & number_number_of_int(min) =
% 273.27/45.17 v4 & bit1(pls) = v0 & bit0(v0) = v1 & power_power_int(v4) = v5 &
% 273.27/45.17 hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & fun_nat_int(v5) &
% 273.27/45.17 fun_int_bool(v3) & int(v4) & int(v2) & int(v1) & int(v0) & ! [v6: nat] : !
% 273.27/45.17 [v7: nat] : ! [v8: int] : ! [v9: int] : ! [v10: int] : ! [v11:
% 273.27/45.17 fun_int_bool] : ! [v12: bool] : (v10 = v9 | ~ (zcong(v9, v10) = v11) |
% 273.27/45.17 ~ (hAPP_nat_int(v5, v7) = v10) | ~ (hAPP_nat_int(v5, v6) = v9) | ~
% 273.27/45.17 (hAPP_int_bool(v11, v8) = v12) | ~ nat(v7) | ~ nat(v6) | ~ int(v8) | ~
% 273.27/45.17 hBOOL(v12) | ? [v13: bool] : (hAPP_int_bool(v3, v8) = v13 & bool(v13) &
% 273.27/45.17 ~ hBOOL(v13))))
% 273.27/45.17
% 273.27/45.17 (fact_1117_one__not__neg__one__mod__m)
% 273.27/45.17 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(min) & int(one_one_int) &
% 273.27/45.17 ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] : ? [v4:
% 273.27/45.17 int] : ? [v5: fun_int_bool] : (zcong(one_one_int, v4) = v5 &
% 273.27/45.17 number_number_of_int(v1) = v2 & number_number_of_int(min) = v4 & bit1(pls) =
% 273.27/45.17 v0 & bit0(v0) = v1 & hAPP_i1948725293t_bool(ord_less_int, v2) = v3 &
% 273.27/45.17 fun_int_bool(v5) & fun_int_bool(v3) & int(v4) & int(v2) & int(v1) & int(v0)
% 273.27/45.17 & ! [v6: int] : ! [v7: bool] : ( ~ (hAPP_int_bool(v3, v6) = v7) | ~
% 273.27/45.17 int(v6) | ~ hBOOL(v7) | ? [v8: bool] : (hAPP_int_bool(v5, v6) = v8 &
% 273.27/45.17 bool(v8) & ~ hBOOL(v8))))
% 273.27/45.17
% 273.27/45.17 (fact_1118_neg__one__power)
% 273.27/45.17 int(min) & int(one_one_int) & ? [v0: int] : ? [v1: fun_nat_int] :
% 273.27/45.17 (number_number_of_int(min) = v0 & power_power_int(v0) = v1 & fun_nat_int(v1) &
% 273.27/45.17 int(v0) & ! [v2: nat] : ! [v3: int] : (v3 = v0 | v3 = one_one_int | ~
% 273.27/45.17 (hAPP_nat_int(v1, v2) = v3) | ~ nat(v2)))
% 273.27/45.17
% 273.27/45.17 (fact_1119_Legendre__def)
% 273.27/45.18 int(min) & int(zero_zero_int) & int(one_one_int) & ? [v0: int] :
% 273.27/45.18 (number_number_of_int(min) = v0 & int(v0) & ! [v1: int] : ! [v2: int] : !
% 273.27/45.18 [v3: fun_int_bool] : ! [v4: bool] : ( ~ (zcong(v1, zero_zero_int) = v3) |
% 273.27/45.18 ~ (hAPP_int_bool(v3, v2) = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) |
% 273.27/45.18 legendre(v1, v2) = zero_zero_int) & ! [v1: int] : ! [v2: int] : ! [v3:
% 273.27/45.18 fun_int_bool] : ! [v4: bool] : ( ~ (zcong(v1, zero_zero_int) = v3) | ~
% 273.27/45.18 (hAPP_int_bool(v3, v2) = v4) | ~ int(v2) | ~ int(v1) | hBOOL(v4) | ?
% 273.27/45.18 [v5: fun_int_bool] : ? [v6: bool] : ? [v7: int] : (((v7 = v0 &
% 273.27/45.18 legendre(v1, v2) = v0) | (quadRes(v2) = v5 & hAPP_int_bool(v5, v1) =
% 273.27/45.18 v6 & fun_int_bool(v5) & bool(v6) & hBOOL(v6))) & ((v7 = one_one_int
% 273.27/45.18 & legendre(v1, v2) = one_one_int) | (quadRes(v2) = v5 &
% 273.27/45.18 hAPP_int_bool(v5, v1) = v6 & fun_int_bool(v5) & bool(v6) & ~
% 273.27/45.18 hBOOL(v6))))))
% 273.27/45.18
% 273.27/45.18 (fact_111_semiring__norm_I112_J)
% 273.27/45.18 number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 273.27/45.18
% 273.27/45.18 (fact_1120_QuadRes__def)
% 273.27/45.18 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.27/45.18 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.27/45.18 & ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : ! [v6: bool] : !
% 273.27/45.18 [v7: int] : ! [v8: fun_nat_int] : ! [v9: int] : ! [v10: fun_int_bool] :
% 273.27/45.18 ! [v11: bool] : ( ~ (zcong(v9, v4) = v10) | ~ (quadRes(v3) = v5) | ~
% 273.27/45.18 (power_power_int(v7) = v8) | ~ (hAPP_nat_int(v8, v2) = v9) | ~
% 273.27/45.18 (hAPP_int_bool(v10, v3) = v11) | ~ (hAPP_int_bool(v5, v4) = v6) | ~
% 273.27/45.18 int(v7) | ~ int(v4) | ~ int(v3) | ~ hBOOL(v11) | hBOOL(v6)) & ! [v3:
% 273.27/45.18 int] : ! [v4: int] : ! [v5: fun_int_bool] : ! [v6: bool] : ( ~
% 273.27/45.18 (quadRes(v3) = v5) | ~ (hAPP_int_bool(v5, v4) = v6) | ~ int(v4) | ~
% 273.27/45.18 int(v3) | ~ hBOOL(v6) | ? [v7: int] : ? [v8: fun_nat_int] : ? [v9:
% 273.27/45.18 int] : ? [v10: fun_int_bool] : ? [v11: bool] : (zcong(v9, v4) = v10 &
% 273.27/45.18 power_power_int(v7) = v8 & hAPP_nat_int(v8, v2) = v9 &
% 273.27/45.18 hAPP_int_bool(v10, v3) = v11 & fun_nat_int(v8) & fun_int_bool(v10) &
% 273.27/45.18 int(v9) & int(v7) & bool(v11) & hBOOL(v11))))
% 273.27/45.18
% 273.27/45.18 (fact_1122_zcong__square__zless)
% 273.27/45.18 fun_int_fun_int_bool(ord_less_int) & fun_int_bool(zprime) & int(zero_zero_int)
% 273.27/45.18 & int(one_one_int) & ? [v0: fun_int_bool] :
% 273.27/45.18 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.27/45.18 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5:
% 273.27/45.18 bool] : (v1 = one_one_int | ~ (zcong(v3, one_one_int) = v4) | ~
% 273.27/45.18 (times_times_int(v1, v1) = v3) | ~ (hAPP_int_bool(v4, v2) = v5) | ~
% 273.27/45.18 int(v2) | ~ int(v1) | ~ hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ?
% 273.27/45.18 [v8: fun_int_bool] : ? [v9: bool] : ? [v10: int] : ((v10 = v1 &
% 273.27/45.18 minus_minus_int(v2, one_one_int) = v1) |
% 273.27/45.18 (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 & hAPP_int_bool(v8, v2) =
% 273.27/45.18 v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) | (hAPP_int_bool(v0,
% 273.27/45.18 v1) = v7 & bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(zprime, v2) =
% 273.27/45.18 v6 & bool(v6) & ~ hBOOL(v6)))))
% 273.27/45.18
% 273.27/45.18 (fact_1134_zcong__not)
% 273.27/45.18 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.27/45.18 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.27/45.18 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.27/45.18 fun_int_bool] : ! [v5: bool] : ! [v6: bool] : ( ~
% 273.27/45.18 (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~ (hAPP_int_bool(v4,
% 273.27/45.18 v2) = v5) | ~ (hAPP_int_bool(v0, v1) = v6) | ~ int(v3) | ~ int(v2)
% 273.27/45.18 | ~ int(v1) | ~ hBOOL(v6) | ~ hBOOL(v5) | ? [v7: bool] : ? [v8:
% 273.27/45.18 fun_int_bool] : ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool]
% 273.27/45.18 : ((zcong(v3, v1) = v10 & hAPP_int_bool(v10, v2) = v11 & fun_int_bool(v10)
% 273.27/45.18 & bool(v11) & ~ hBOOL(v11)) | (hAPP_i1948725293t_bool(ord_less_int,
% 273.27/45.18 v1) = v8 & hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9)
% 273.27/45.18 & ~ hBOOL(v9)) | (hAPP_int_bool(v0, v3) = v7 & bool(v7) & ~
% 273.27/45.18 hBOOL(v7)))))
% 273.27/45.18
% 273.27/45.19 (fact_1139_zcong__zless__0)
% 273.27/45.19 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.27/45.19 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.27/45.19 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.27/45.19 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] : !
% 273.27/45.19 [v4: bool] : (v2 = zero_zero_int | ~ (zcong(v2, zero_zero_int) = v3) | ~
% 273.27/45.19 (hAPP_int_bool(v3, v1) = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ?
% 273.27/45.19 [v5: bool] : ? [v6: fun_int_bool] : ? [v7: bool] :
% 273.27/45.19 ((hAPP_i1948725293t_bool(ord_less_int, v2) = v6 & hAPP_int_bool(v6, v1) =
% 273.27/45.19 v7 & fun_int_bool(v6) & bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(v0,
% 273.27/45.19 v2) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.27/45.19
% 273.27/45.19 (fact_113_add__numeral__0)
% 273.27/45.19 int(pls) & ? [v0: int] : (number_number_of_int(pls) = v0 & int(v0) & ! [v1:
% 273.27/45.19 int] : ! [v2: int] : (v2 = v1 | ~ (plus_plus_int(v0, v1) = v2) | ~
% 273.27/45.19 int(v1)))
% 273.27/45.19
% 273.27/45.19 (fact_1140_zcong__zless__imp__eq)
% 273.27/45.19 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.27/45.19 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.27/45.19 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.27/45.19 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.27/45.19 fun_int_bool] : ! [v5: bool] : ! [v6: bool] : (v3 = v1 | ~
% 273.27/45.19 (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~ (hAPP_int_bool(v4,
% 273.27/45.19 v2) = v5) | ~ (hAPP_int_bool(v0, v1) = v6) | ~ int(v3) | ~ int(v2)
% 273.27/45.19 | ~ int(v1) | ~ hBOOL(v6) | ~ hBOOL(v5) | ? [v7: bool] : ? [v8:
% 273.27/45.19 fun_int_bool] : ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool]
% 273.27/45.19 : ((zcong(v3, v1) = v10 & hAPP_int_bool(v10, v2) = v11 & fun_int_bool(v10)
% 273.27/45.19 & bool(v11) & ~ hBOOL(v11)) | (hAPP_i1948725293t_bool(ord_less_int,
% 273.27/45.19 v1) = v8 & hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9)
% 273.27/45.19 & ~ hBOOL(v9)) | (hAPP_int_bool(v0, v3) = v7 & bool(v7) & ~
% 273.27/45.19 hBOOL(v7)))))
% 273.27/45.19
% 273.27/45.19 (fact_1141_zprime__zdvd__zmult)
% 273.27/45.19 fun_int_fun_int_bool(dvd_dvd_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.27/45.19 fun_int_bool(zprime) & int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.27/45.19 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.27/45.19 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.27/45.19 fun_int_bool] : ! [v5: int] : ! [v6: bool] : ( ~ (times_times_int(v3,
% 273.27/45.19 v1) = v5) | ~ (hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v4) | ~
% 273.27/45.19 (hAPP_int_bool(v4, v5) = v6) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~
% 273.27/45.19 hBOOL(v6) | ? [v7: bool] : ? [v8: bool] : ? [v9: bool] : ? [v10: bool]
% 273.27/45.19 : ((hAPP_int_bool(v4, v3) = v9 & bool(v9) & hBOOL(v9)) |
% 273.27/45.19 (hAPP_int_bool(v4, v1) = v10 & bool(v10) & hBOOL(v10)) |
% 273.27/45.19 (hAPP_int_bool(v0, v3) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 273.27/45.19 (hAPP_int_bool(zprime, v2) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.27/45.19
% 273.27/45.19 (fact_1142_zprime__def)
% 273.74/45.20 fun_int_fun_int_bool(dvd_dvd_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.20 fun_int_fun_int_bool(ord_less_int) & fun_int_bool(zprime) & int(zero_zero_int)
% 273.74/45.20 & int(one_one_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.20 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 273.74/45.20 hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_int_bool(v1) &
% 273.74/45.20 fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ! [v4: int] : ! [v5:
% 273.74/45.20 bool] : (v4 = v2 | v4 = one_one_int | ~ (hAPP_int_bool(v1, v4) = v5) | ~
% 273.74/45.20 (hAPP_int_bool(v0, v2) = v3) | ~ int(v4) | ~ int(v2) | ~ hBOOL(v5) | ?
% 273.74/45.20 [v6: any] : ? [v7: bool] : ((hAPP_i1948725293t_bool(dvd_dvd_int, v4) = v6
% 273.74/45.20 & hAPP_int_bool(v6, v2) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 273.74/45.20 hBOOL(v7)) | (hAPP_int_bool(zprime, v2) = v6 & bool(v6) & ~
% 273.74/45.20 hBOOL(v6)))) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v0,
% 273.74/45.20 v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: bool] : ? [v5: int] :
% 273.74/45.20 ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool] : (int(v5) & (( ~
% 273.74/45.20 (v5 = v2) & ~ (v5 = one_one_int) &
% 273.74/45.20 hAPP_i1948725293t_bool(dvd_dvd_int, v5) = v7 & hAPP_int_bool(v7, v2)
% 273.74/45.20 = v8 & hAPP_int_bool(v1, v5) = v6 & fun_int_bool(v7) & bool(v8) &
% 273.74/45.20 bool(v6) & hBOOL(v8) & hBOOL(v6)) | (hAPP_int_bool(zprime, v2) = v4
% 273.74/45.20 & bool(v4) & hBOOL(v4))))) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.20 (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: bool] :
% 273.74/45.20 (hAPP_int_bool(zprime, v2) = v4 & bool(v4) & ~ hBOOL(v4))))
% 273.74/45.20
% 273.74/45.20 (fact_1143_zcong__square)
% 273.74/45.20 fun_int_fun_int_bool(ord_less_int) & fun_int_bool(zprime) & int(zero_zero_int)
% 273.74/45.20 & int(one_one_int) & ? [v0: fun_int_bool] :
% 273.74/45.20 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.20 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5:
% 273.74/45.20 bool] : ( ~ (zcong(v1, v3) = v4) | ~ (minus_minus_int(v2, one_one_int) =
% 273.74/45.20 v3) | ~ (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) |
% 273.74/45.20 hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ? [v8: int] : ? [v9:
% 273.74/45.20 fun_int_bool] : ? [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool]
% 273.74/45.20 : ((zcong(v8, one_one_int) = v9 & times_times_int(v1, v1) = v8 &
% 273.74/45.20 hAPP_int_bool(v9, v2) = v10 & fun_int_bool(v9) & int(v8) & bool(v10) &
% 273.74/45.20 ~ hBOOL(v10)) | (zcong(v1, one_one_int) = v11 & hAPP_int_bool(v11,
% 273.74/45.20 v2) = v12 & fun_int_bool(v11) & bool(v12) & hBOOL(v12)) |
% 273.74/45.20 (hAPP_int_bool(v0, v1) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 273.74/45.20 (hAPP_int_bool(zprime, v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 273.74/45.20
% 273.74/45.20 (fact_1145_prime__g__5)
% 273.74/45.20 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_bool(zprime) & int(pls) & ?
% 273.74/45.20 [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] : ?
% 273.74/45.20 [v5: int] : ? [v6: int] : ? [v7: fun_int_bool] : (number_number_of_int(v5) =
% 273.74/45.20 v6 & number_number_of_int(v3) = v4 & number_number_of_int(v1) = v2 &
% 273.74/45.20 bit1(v1) = v5 & bit1(v0) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.20 hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 & fun_int_bool(v7) &
% 273.74/45.20 int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) & int(v0) & !
% 273.74/45.20 [v8: int] : ! [v9: bool] : (v8 = v4 | v8 = v2 | ~ (hAPP_int_bool(v7, v8) =
% 273.74/45.20 v9) | ~ int(v8) | hBOOL(v9) | ? [v10: bool] : (hAPP_int_bool(zprime,
% 273.74/45.20 v8) = v10 & bool(v10) & ~ hBOOL(v10))))
% 273.74/45.20
% 273.74/45.20 (fact_1146_conj__le__cong)
% 273.74/45.20 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.21 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.21 & fun_int_bool(v0))
% 273.74/45.21
% 273.74/45.21 (fact_1147_imp__le__cong)
% 273.74/45.21 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.21 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.21 & fun_int_bool(v0))
% 273.74/45.21
% 273.74/45.21 (fact_1149_number__of2)
% 273.74/45.21 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) & ?
% 273.74/45.21 [v0: fun_int_bool] : ? [v1: int] : ? [v2: bool] : (number_number_of_int(pls)
% 273.74/45.21 = v1 & hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.21 hAPP_int_bool(v0, v1) = v2 & fun_int_bool(v0) & int(v1) & bool(v2) &
% 273.74/45.21 hBOOL(v2))
% 273.74/45.21
% 273.74/45.21 (fact_1152_number__of1)
% 273.74/45.21 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.21 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.21 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ( ~
% 273.74/45.21 (number_number_of_int(v1) = v2) | ~ int(v1) | ? [v3: bool] : ? [v4:
% 273.74/45.21 int] : ? [v5: int] : ? [v6: bool] : ? [v7: int] : ? [v8: int] : ?
% 273.74/45.21 [v9: bool] : ((number_number_of_int(v7) = v8 & number_number_of_int(v4) =
% 273.74/45.21 v5 & bit1(v1) = v7 & bit0(v1) = v4 & hAPP_int_bool(v0, v8) = v9 &
% 273.74/45.21 hAPP_int_bool(v0, v5) = v6 & int(v8) & int(v7) & int(v5) & int(v4) &
% 273.74/45.21 bool(v9) & bool(v6) & hBOOL(v9) & hBOOL(v6)) | (hAPP_int_bool(v0, v2)
% 273.74/45.21 = v3 & bool(v3) & ~ hBOOL(v3)))))
% 273.74/45.21
% 273.74/45.21 (fact_1153__096_B_Bthesis_O_A_I_B_Bs_Aw_O_Aw_A_061_Ay_A_N_As_A_K_A_I1_A_L_Aint_An)
% 273.74/45.21 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.21 nat(n) & int(y) & int(pls) & int(one_one_int) & ? [v0: int] : ? [v1: int] :
% 273.74/45.21 ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ?
% 273.74/45.21 [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: fun_int_bool] : ? [v11:
% 273.74/45.21 bool] : (abs_abs_int(v6) = v8 & minus_minus_int(y, v7) = v6 &
% 273.74/45.21 times_times_int(v5, v1) = v7 & times_times_int(v4, v8) = v9 &
% 273.74/45.21 number_number_of_int(v3) = v4 & bit1(pls) = v2 & bit0(v2) = v3 &
% 273.74/45.21 hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 &
% 273.74/45.21 hAPP_nat_int(semiri1621563631at_int, n) = v0 & plus_plus_int(one_one_int,
% 273.74/45.21 v0) = v1 & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) & int(v9) &
% 273.74/45.21 int(v8) & int(v7) & int(v6) & int(v5) & int(v4) & int(v3) & int(v2) &
% 273.74/45.21 int(v1) & int(v0) & bool(v11) & hBOOL(v11))
% 273.74/45.21
% 273.74/45.21 (fact_1154__096_B_Bthesis_O_A_I_B_Br_Av_O_Av_A_061_Ax_A_N_Ar_A_K_A_I1_A_L_Aint_An)
% 273.74/45.21 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.21 nat(n) & int(x) & int(pls) & int(one_one_int) & ? [v0: int] : ? [v1: int] :
% 273.74/45.21 ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ?
% 273.74/45.21 [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: fun_int_bool] : ? [v11:
% 273.74/45.21 bool] : (abs_abs_int(v6) = v8 & minus_minus_int(x, v7) = v6 &
% 273.74/45.21 times_times_int(v5, v1) = v7 & times_times_int(v4, v8) = v9 &
% 273.74/45.21 number_number_of_int(v3) = v4 & bit1(pls) = v2 & bit0(v2) = v3 &
% 273.74/45.21 hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 &
% 273.74/45.21 hAPP_nat_int(semiri1621563631at_int, n) = v0 & plus_plus_int(one_one_int,
% 273.74/45.21 v0) = v1 & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) & int(v9) &
% 273.74/45.21 int(v8) & int(v7) & int(v6) & int(v5) & int(v4) & int(v3) & int(v2) &
% 273.74/45.21 int(v1) & int(v0) & bool(v11) & hBOOL(v11))
% 273.74/45.21
% 273.74/45.21 (fact_1159_abs__int__eq)
% 273.74/45.21 fun_nat_int(semiri1621563631at_int) & ! [v0: nat] : ! [v1: int] : ( ~
% 273.74/45.21 (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~ nat(v0) |
% 273.74/45.21 (abs_abs_int(v1) = v1 & int(v1)))
% 273.74/45.21
% 273.74/45.21 (fact_115_add__numeral__0__right)
% 273.74/45.21 int(pls) & ? [v0: int] : (number_number_of_int(pls) = v0 & int(v0) & ! [v1:
% 273.74/45.21 int] : ! [v2: int] : (v2 = v1 | ~ (plus_plus_int(v1, v0) = v2) | ~
% 273.74/45.21 int(v1)))
% 273.74/45.21
% 273.74/45.21 (fact_1161_zero__le__zpower__abs)
% 273.74/45.21 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.21 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.21 & fun_int_bool(v0) & ! [v1: int] : ! [v2: nat] : ! [v3: int] : ! [v4:
% 273.74/45.21 fun_nat_int] : ! [v5: int] : ( ~ (abs_abs_int(v1) = v3) | ~
% 273.74/45.21 (power_power_int(v3) = v4) | ~ (hAPP_nat_int(v4, v2) = v5) | ~ nat(v2) |
% 273.74/45.21 ~ int(v1) | ? [v6: bool] : (hAPP_int_bool(v0, v5) = v6 & bool(v6) &
% 273.74/45.21 hBOOL(v6))))
% 273.74/45.21
% 273.74/45.21 (fact_1163_abs__eq__1__iff)
% 273.74/45.21 int(min) & int(one_one_int) & ? [v0: int] : (number_number_of_int(min) = v0 &
% 273.74/45.22 int(v0) & ! [v1: int] : (v1 = v0 | v1 = one_one_int | ~ (abs_abs_int(v1) =
% 273.74/45.22 one_one_int) | ~ int(v1)) & ! [v1: int] : (v1 = one_one_int | ~
% 273.74/45.22 (abs_abs_int(v0) = v1)) & ! [v1: int] : (v1 = one_one_int | ~
% 273.74/45.22 (abs_abs_int(one_one_int) = v1)))
% 273.74/45.22
% 273.74/45.22 (fact_1164_abs__power3__distrib)
% 273.74/45.22 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(v0) = v1 &
% 273.74/45.22 bit1(pls) = v0 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.74/45.22 & ! [v3: int] : ! [v4: int] : ( ~ (abs_abs_int(v3) = v4) | ~ int(v3) | ?
% 273.74/45.22 [v5: fun_nat_int] : ? [v6: int] : ? [v7: int] : ? [v8: fun_nat_int] :
% 273.74/45.22 (abs_abs_int(v6) = v7 & power_power_int(v4) = v8 & power_power_int(v3) =
% 273.74/45.22 v5 & hAPP_nat_int(v8, v2) = v7 & hAPP_nat_int(v5, v2) = v6 &
% 273.74/45.22 fun_nat_int(v8) & fun_nat_int(v5) & int(v7) & int(v6))))
% 273.74/45.22
% 273.74/45.22 (fact_1165_zero__less__zpower__abs__iff)
% 273.74/45.22 fun_int_fun_int_bool(ord_less_int) & nat(zero_zero_nat) & int(zero_zero_int) &
% 273.74/45.22 ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) =
% 273.74/45.22 v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: nat] : ! [v3: int] : ! [v4:
% 273.74/45.22 fun_nat_int] : ! [v5: int] : (v1 = zero_zero_int | ~ (abs_abs_int(v1) =
% 273.74/45.22 v3) | ~ (power_power_int(v3) = v4) | ~ (hAPP_nat_int(v4, v2) = v5) |
% 273.74/45.22 ~ nat(v2) | ~ int(v1) | ? [v6: bool] : (hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.22 bool(v6) & hBOOL(v6))) & ! [v1: nat] : ! [v2: int] : ! [v3:
% 273.74/45.22 fun_nat_int] : ! [v4: int] : (v1 = zero_zero_nat | ~
% 273.74/45.22 (abs_abs_int(zero_zero_int) = v2) | ~ (power_power_int(v2) = v3) | ~
% 273.74/45.22 (hAPP_nat_int(v3, v1) = v4) | ~ nat(v1) | ? [v5: bool] :
% 273.74/45.22 (hAPP_int_bool(v0, v4) = v5 & bool(v5) & ~ hBOOL(v5))) & ! [v1: int] :
% 273.74/45.22 ! [v2: int] : ! [v3: fun_nat_int] : ! [v4: int] : ( ~ (abs_abs_int(v1) =
% 273.74/45.22 v2) | ~ (power_power_int(v2) = v3) | ~ (hAPP_nat_int(v3,
% 273.74/45.22 zero_zero_nat) = v4) | ~ int(v1) | ? [v5: bool] : (hAPP_int_bool(v0,
% 273.74/45.22 v4) = v5 & bool(v5) & hBOOL(v5))))
% 273.74/45.22
% 273.74/45.22 (fact_1169_abs__power2__distrib)
% 273.74/45.22 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.22 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.74/45.22 & ! [v3: int] : ! [v4: int] : ( ~ (abs_abs_int(v3) = v4) | ~ int(v3) | ?
% 273.74/45.22 [v5: fun_nat_int] : ? [v6: int] : ? [v7: int] : ? [v8: fun_nat_int] :
% 273.74/45.22 (abs_abs_int(v6) = v7 & power_power_int(v4) = v8 & power_power_int(v3) =
% 273.74/45.22 v5 & hAPP_nat_int(v8, v2) = v7 & hAPP_nat_int(v5, v2) = v6 &
% 273.74/45.22 fun_nat_int(v8) & fun_nat_int(v5) & int(v7) & int(v6))))
% 273.74/45.22
% 273.74/45.22 (fact_1170_power2__eq__iff__abs__eq)
% 273.74/45.22 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.22 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.74/45.22 & ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v6 = v5 | ~
% 273.74/45.22 (abs_abs_int(v4) = v6) | ~ (abs_abs_int(v3) = v5) | ~ int(v4) | ~
% 273.74/45.22 int(v3) | ? [v7: fun_nat_int] : ? [v8: int] : ? [v9: fun_nat_int] : ?
% 273.74/45.22 [v10: int] : ( ~ (v10 = v8) & power_power_int(v4) = v9 &
% 273.74/45.22 power_power_int(v3) = v7 & hAPP_nat_int(v9, v2) = v10 & hAPP_nat_int(v7,
% 273.74/45.22 v2) = v8 & fun_nat_int(v9) & fun_nat_int(v7) & int(v10) & int(v8))) &
% 273.74/45.22 ! [v3: int] : ! [v4: int] : ! [v5: int] : ( ~ (abs_abs_int(v4) = v5) | ~
% 273.74/45.22 (abs_abs_int(v3) = v5) | ~ int(v4) | ~ int(v3) | ? [v6: fun_nat_int] :
% 273.74/45.22 ? [v7: int] : ? [v8: fun_nat_int] : (power_power_int(v4) = v8 &
% 273.74/45.22 power_power_int(v3) = v6 & hAPP_nat_int(v8, v2) = v7 & hAPP_nat_int(v6,
% 273.74/45.22 v2) = v7 & fun_nat_int(v8) & fun_nat_int(v6) & int(v7))))
% 273.74/45.22
% 273.74/45.22 (fact_1171_power2__eq1__iff)
% 273.74/45.22 int(pls) & int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: nat] :
% 273.74/45.22 (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 273.74/45.22 int(v1) & int(v0) & ! [v3: int] : ! [v4: int] : (v4 = one_one_int | ~
% 273.74/45.22 (abs_abs_int(v3) = v4) | ~ int(v3) | ? [v5: fun_nat_int] : ? [v6: int]
% 273.74/45.22 : ( ~ (v6 = one_one_int) & power_power_int(v3) = v5 & hAPP_nat_int(v5, v2)
% 273.74/45.22 = v6 & fun_nat_int(v5) & int(v6))))
% 273.74/45.22
% 273.74/45.22 (fact_1172_incr__lemma)
% 273.74/45.22 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.22 ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) =
% 273.74/45.22 v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.22 fun_int_bool] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: int]
% 273.74/45.22 : ! [v9: int] : ! [v10: bool] : ( ~ (abs_abs_int(v5) = v6) | ~
% 273.74/45.22 (minus_minus_int(v2, v1) = v5) | ~ (times_times_int(v7, v3) = v8) | ~
% 273.74/45.22 (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) | ~ (plus_plus_int(v6,
% 273.74/45.22 one_one_int) = v7) | ~ (plus_plus_int(v2, v8) = v9) | ~
% 273.74/45.22 (hAPP_int_bool(v4, v9) = v10) | ~ int(v3) | ~ int(v2) | ~ int(v1) |
% 273.74/45.22 hBOOL(v10) | ? [v11: bool] : (hAPP_int_bool(v0, v3) = v11 & bool(v11) &
% 273.74/45.22 ~ hBOOL(v11))))
% 273.74/45.22
% 273.74/45.22 (fact_1173_decr__lemma)
% 273.74/45.23 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.23 ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) =
% 273.74/45.23 v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.23 int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: int] : ! [v9:
% 273.74/45.23 fun_int_bool] : ! [v10: bool] : ( ~ (abs_abs_int(v4) = v5) | ~
% 273.74/45.23 (minus_minus_int(v1, v7) = v8) | ~ (minus_minus_int(v1, v2) = v4) | ~
% 273.74/45.23 (times_times_int(v6, v3) = v7) | ~ (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.23 v8) = v9) | ~ (plus_plus_int(v5, one_one_int) = v6) | ~
% 273.74/45.23 (hAPP_int_bool(v9, v2) = v10) | ~ int(v3) | ~ int(v2) | ~ int(v1) |
% 273.74/45.23 hBOOL(v10) | ? [v11: bool] : (hAPP_int_bool(v0, v3) = v11 & bool(v11) &
% 273.74/45.23 ~ hBOOL(v11))))
% 273.74/45.23
% 273.74/45.23 (fact_1174_best__division__abs)
% 273.74/45.23 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.23 int(pls) & int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: int] : ? [v2:
% 273.74/45.23 int] : ? [v3: int] : (number_number_of_int(v2) = v3 & bit1(pls) = v1 &
% 273.74/45.23 bit0(v1) = v2 & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.23 fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & ? [v4: int] : ! [v5: int]
% 273.74/45.23 : ! [v6: bool] : ( ~ (hAPP_int_bool(v0, v5) = v6) | ~ int(v5) | ~ int(v4)
% 273.74/45.23 | ~ hBOOL(v6) | ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10:
% 273.74/45.23 int] : ? [v11: int] : ? [v12: fun_int_bool] : ? [v13: bool] :
% 273.74/45.23 (abs_abs_int(v9) = v10 & minus_minus_int(v4, v8) = v9 &
% 273.74/45.23 times_times_int(v7, v5) = v8 & times_times_int(v3, v10) = v11 &
% 273.74/45.23 hAPP_i1948725293t_bool(ord_less_eq_int, v11) = v12 & hAPP_int_bool(v12,
% 273.74/45.23 v5) = v13 & fun_int_bool(v12) & int(v11) & int(v10) & int(v9) &
% 273.74/45.23 int(v8) & int(v7) & bool(v13) & hBOOL(v13))))
% 273.74/45.23
% 273.74/45.23 (fact_1175_decr__mult__lemma)
% 273.74/45.23 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.23 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.23 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 273.74/45.23 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 273.74/45.23 & fun_int_bool(v0) & ? [v2: fun_int_bool] : ! [v3: int] : ! [v4: int] :
% 273.74/45.23 ! [v5: bool] : ! [v6: bool] : ( ~ (hAPP_int_bool(v1, v3) = v6) | ~
% 273.74/45.23 (hAPP_int_bool(v0, v4) = v5) | ~ fun_int_bool(v2) | ~ int(v4) | ~
% 273.74/45.23 int(v3) | ~ hBOOL(v6) | ~ hBOOL(v5) | ? [v7: int] : ? [v8: int] : ?
% 273.74/45.23 [v9: bool] : ? [v10: int] : ? [v11: bool] : (int(v8) &
% 273.74/45.23 ((minus_minus_int(v8, v4) = v10 & hAPP_int_bool(v2, v10) = v11 &
% 273.74/45.23 hAPP_int_bool(v2, v8) = v9 & int(v10) & bool(v11) & bool(v9) &
% 273.74/45.23 hBOOL(v9) & ~ hBOOL(v11)) | (times_times_int(v3, v4) = v7 & int(v7)
% 273.74/45.23 & ! [v12: int] : ! [v13: int] : ! [v14: bool] : ( ~
% 273.74/45.23 (minus_minus_int(v12, v7) = v13) | ~ (hAPP_int_bool(v2, v13) =
% 273.74/45.23 v14) | ~ int(v12) | hBOOL(v14) | ? [v15: bool] :
% 273.74/45.23 (hAPP_int_bool(v2, v12) = v15 & bool(v15) & ~ hBOOL(v15))))))))
% 273.74/45.23
% 273.74/45.23 (fact_1178_less__one__imp__sqr__less__one)
% 273.74/45.23 fun_re413263731l_bool(ord_less_real) & real(one_one_real) & int(pls) & ? [v0:
% 273.74/45.23 int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.23 number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & ! [v3: real]
% 273.74/45.23 : ! [v4: real] : ( ~ (abs_abs_real(v3) = v4) | ~ real(v3) | ? [v5:
% 273.74/45.23 fun_real_bool] : ? [v6: bool] : ? [v7: fun_nat_real] : ? [v8: real] :
% 273.74/45.23 ? [v9: fun_real_bool] : ? [v10: bool] :
% 273.74/45.23 ((hAPP_r1134773055l_bool(ord_less_real, v8) = v9 & hAPP_real_bool(v9,
% 273.74/45.23 one_one_real) = v10 & power_power_real(v3) = v7 & hAPP_nat_real(v7,
% 273.74/45.23 v2) = v8 & fun_real_bool(v9) & fun_nat_real(v7) & real(v8) &
% 273.74/45.23 bool(v10) & hBOOL(v10)) | (hAPP_r1134773055l_bool(ord_less_real, v4) =
% 273.74/45.23 v5 & hAPP_real_bool(v5, one_one_real) = v6 & fun_real_bool(v5) &
% 273.74/45.23 bool(v6) & ~ hBOOL(v6)))))
% 273.74/45.23
% 273.74/45.23 (fact_117_power__eq__0__iff__number__of)
% 273.74/45.23 nat(zero_zero_nat) & int(zero_zero_int) & ! [v0: int] : ! [v1: nat] : !
% 273.74/45.23 [v2: fun_nat_int] : ! [v3: int] : (v3 = zero_zero_int | v1 = zero_zero_nat |
% 273.74/45.23 ~ (number_number_of_nat(v0) = v1) | ~ (power_power_int(zero_zero_int) = v2)
% 273.74/45.23 | ~ (hAPP_nat_int(v2, v1) = v3) | ~ int(v0)) & ! [v0: int] : ! [v1: int]
% 273.74/45.23 : ! [v2: fun_nat_int] : ! [v3: nat] : (v0 = zero_zero_int | ~
% 273.74/45.23 (number_number_of_nat(v1) = v3) | ~ (power_power_int(v0) = v2) | ~
% 273.74/45.23 (hAPP_nat_int(v2, v3) = zero_zero_int) | ~ int(v1) | ~ int(v0)) & ! [v0:
% 273.74/45.23 int] : ! [v1: int] : ! [v2: fun_nat_int] : ( ~ (number_number_of_nat(v1) =
% 273.74/45.23 zero_zero_nat) | ~ (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v2,
% 273.74/45.23 zero_zero_nat) = zero_zero_int) | ~ int(v1) | ~ int(v0))
% 273.74/45.23
% 273.74/45.23 (fact_1180_incr__mult__lemma)
% 273.74/45.23 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.23 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.23 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 273.74/45.23 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 273.74/45.23 & fun_int_bool(v0) & ? [v2: fun_int_bool] : ! [v3: int] : ! [v4: int] :
% 273.74/45.23 ! [v5: bool] : ! [v6: bool] : ( ~ (hAPP_int_bool(v1, v3) = v6) | ~
% 273.74/45.23 (hAPP_int_bool(v0, v4) = v5) | ~ fun_int_bool(v2) | ~ int(v4) | ~
% 273.74/45.23 int(v3) | ~ hBOOL(v6) | ~ hBOOL(v5) | ? [v7: int] : ? [v8: int] : ?
% 273.74/45.23 [v9: bool] : ? [v10: int] : ? [v11: bool] : (int(v8) &
% 273.74/45.23 ((times_times_int(v3, v4) = v7 & int(v7) & ! [v12: int] : ! [v13: int]
% 273.74/45.23 : ! [v14: bool] : ( ~ (plus_plus_int(v12, v7) = v13) | ~
% 273.74/45.23 (hAPP_int_bool(v2, v13) = v14) | ~ int(v12) | hBOOL(v14) | ?
% 273.74/45.23 [v15: bool] : (hAPP_int_bool(v2, v12) = v15 & bool(v15) & ~
% 273.74/45.23 hBOOL(v15)))) | (plus_plus_int(v8, v4) = v10 & hAPP_int_bool(v2,
% 273.74/45.23 v10) = v11 & hAPP_int_bool(v2, v8) = v9 & int(v10) & bool(v11) &
% 273.74/45.23 bool(v9) & hBOOL(v9) & ~ hBOOL(v11))))))
% 273.74/45.23
% 273.74/45.23 (fact_1196_nat0__intermed__int__val)
% 273.74/45.24 fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_nat_fun_nat_bool(ord_less_nat) &
% 273.74/45.24 fun_int_fun_int_bool(ord_less_eq_int) & nat(zero_zero_nat) & nat(one_one_nat)
% 273.74/45.24 & int(one_one_int) & ! [v0: int] : ! [v1: fun_nat_int] : ! [v2: nat] : !
% 273.74/45.24 [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 273.74/45.24 (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v3) | ~ (hAPP_nat_int(v1,
% 273.74/45.24 v2) = v4) | ~ (hAPP_int_bool(v3, v4) = v5) | ~ fun_nat_int(v1) | ~
% 273.74/45.24 nat(v2) | ~ int(v0) | ~ hBOOL(v5) | ? [v6: int] : ? [v7: fun_int_bool] :
% 273.74/45.24 ? [v8: bool] : ? [v9: nat] : ? [v10: fun_nat_bool] : ? [v11: bool] : ?
% 273.74/45.24 [v12: int] : ? [v13: nat] : ? [v14: fun_nat_bool] : ? [v15: bool] : ?
% 273.74/45.24 [v16: nat] : ? [v17: int] : ? [v18: int] : ? [v19: int] : ? [v20: int] :
% 273.74/45.24 ? [v21: fun_int_bool] : ? [v22: bool] : (nat(v13) & nat(v9) & ((v12 = v0 &
% 273.74/45.24 hAPP_n1699378549t_bool(ord_less_eq_nat, v9) = v10 & hAPP_nat_bool(v10,
% 273.74/45.24 v2) = v11 & hAPP_nat_int(v1, v9) = v0 & fun_nat_bool(v10) &
% 273.74/45.24 bool(v11) & hBOOL(v11)) | (abs_abs_int(v19) = v20 &
% 273.74/45.24 minus_minus_int(v17, v18) = v19 & hAPP_n1699378549t_bool(ord_less_nat,
% 273.74/45.24 v13) = v14 & hAPP_nat_bool(v14, v2) = v15 & plus_plus_nat(v13,
% 273.74/45.24 one_one_nat) = v16 & hAPP_i1948725293t_bool(ord_less_eq_int, v20) =
% 273.74/45.24 v21 & hAPP_nat_int(v1, v16) = v17 & hAPP_nat_int(v1, v13) = v18 &
% 273.74/45.24 hAPP_int_bool(v21, one_one_int) = v22 & fun_nat_bool(v14) &
% 273.74/45.24 fun_int_bool(v21) & nat(v16) & int(v20) & int(v19) & int(v18) &
% 273.74/45.24 int(v17) & bool(v22) & bool(v15) & hBOOL(v15) & ~ hBOOL(v22)) |
% 273.74/45.24 (hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 & hAPP_nat_int(v1,
% 273.74/45.24 zero_zero_nat) = v6 & hAPP_int_bool(v7, v0) = v8 & fun_int_bool(v7)
% 273.74/45.24 & int(v6) & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.24
% 273.74/45.24 (fact_1197_int__val__lemma)
% 273.74/45.24 fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_nat_fun_nat_bool(ord_less_nat) &
% 273.74/45.24 fun_int_fun_int_bool(ord_less_eq_int) & nat(zero_zero_nat) & nat(one_one_nat)
% 273.74/45.24 & int(one_one_int) & ! [v0: int] : ! [v1: fun_nat_int] : ! [v2: nat] : !
% 273.74/45.24 [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 273.74/45.24 (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v3) | ~ (hAPP_nat_int(v1,
% 273.74/45.24 v2) = v4) | ~ (hAPP_int_bool(v3, v4) = v5) | ~ fun_nat_int(v1) | ~
% 273.74/45.24 nat(v2) | ~ int(v0) | ~ hBOOL(v5) | ? [v6: int] : ? [v7: fun_int_bool] :
% 273.74/45.24 ? [v8: bool] : ? [v9: nat] : ? [v10: fun_nat_bool] : ? [v11: bool] : ?
% 273.74/45.24 [v12: int] : ? [v13: nat] : ? [v14: fun_nat_bool] : ? [v15: bool] : ?
% 273.74/45.24 [v16: nat] : ? [v17: int] : ? [v18: int] : ? [v19: int] : ? [v20: int] :
% 273.74/45.24 ? [v21: fun_int_bool] : ? [v22: bool] : (nat(v13) & nat(v9) & ((v12 = v0 &
% 273.74/45.24 hAPP_n1699378549t_bool(ord_less_eq_nat, v9) = v10 & hAPP_nat_bool(v10,
% 273.74/45.24 v2) = v11 & hAPP_nat_int(v1, v9) = v0 & fun_nat_bool(v10) &
% 273.74/45.24 bool(v11) & hBOOL(v11)) | (abs_abs_int(v19) = v20 &
% 273.74/45.24 minus_minus_int(v17, v18) = v19 & hAPP_n1699378549t_bool(ord_less_nat,
% 273.74/45.24 v13) = v14 & hAPP_nat_bool(v14, v2) = v15 & plus_plus_nat(v13,
% 273.74/45.24 one_one_nat) = v16 & hAPP_i1948725293t_bool(ord_less_eq_int, v20) =
% 273.74/45.24 v21 & hAPP_nat_int(v1, v16) = v17 & hAPP_nat_int(v1, v13) = v18 &
% 273.74/45.24 hAPP_int_bool(v21, one_one_int) = v22 & fun_nat_bool(v14) &
% 273.74/45.24 fun_int_bool(v21) & nat(v16) & int(v20) & int(v19) & int(v18) &
% 273.74/45.24 int(v17) & bool(v22) & bool(v15) & hBOOL(v15) & ~ hBOOL(v22)) |
% 273.74/45.24 (hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 & hAPP_nat_int(v1,
% 273.74/45.24 zero_zero_nat) = v6 & hAPP_int_bool(v7, v0) = v8 & fun_int_bool(v7)
% 273.74/45.24 & int(v6) & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.24
% 273.74/45.24 (fact_11_zero__eq__power2)
% 273.74/45.24 real(zero_zero_real) & int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] :
% 273.74/45.24 (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 273.74/45.24 int(v1) & int(v0) & ! [v3: real] : ! [v4: fun_nat_real] : (v3 =
% 273.74/45.24 zero_zero_real | ~ (power_power_real(v3) = v4) | ~ real(v3) | ? [v5:
% 273.74/45.24 real] : ( ~ (v5 = zero_zero_real) & hAPP_nat_real(v4, v2) = v5 &
% 273.74/45.24 real(v5))) & ! [v3: fun_nat_real] : ( ~
% 273.74/45.24 (power_power_real(zero_zero_real) = v3) | hAPP_nat_real(v3, v2) =
% 273.74/45.24 zero_zero_real))
% 273.74/45.24
% 273.74/45.24 (fact_12_add__special_I2_J)
% 273.74/45.24 int(pls) & int(one_one_int) & ? [v0: int] : (bit1(pls) = v0 & int(v0) & !
% 273.74/45.24 [v1: int] : ! [v2: int] : ( ~ (plus_plus_int(v0, v1) = v2) | ~ int(v1) |
% 273.74/45.24 ? [v3: int] : ? [v4: int] : (number_number_of_int(v2) = v4 &
% 273.74/45.24 number_number_of_int(v1) = v3 & plus_plus_int(one_one_int, v3) = v4 &
% 273.74/45.24 int(v4) & int(v3))))
% 273.74/45.24
% 273.74/45.24 (fact_131_number__of__int)
% 273.74/45.24 fun_nat_int(semiri1621563631at_int) & ! [v0: nat] : ! [v1: int] : ( ~
% 273.74/45.24 (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~ nat(v0) |
% 273.74/45.24 (number_number_of_int(v1) = v1 & int(v1)))
% 273.74/45.24
% 273.74/45.24 (fact_133_zero__less__power2)
% 273.74/45.24 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) & ? [v0:
% 273.74/45.24 fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] : (bit1(pls) = v1
% 273.74/45.24 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.74/45.24 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0)
% 273.74/45.24 & nat(v3) & int(v2) & int(v1) & ! [v4: int] : ! [v5: fun_nat_int] : (v4 =
% 273.74/45.24 zero_zero_int | ~ (power_power_int(v4) = v5) | ~ int(v4) | ? [v6: int]
% 273.74/45.24 : ? [v7: bool] : (hAPP_nat_int(v5, v3) = v6 & hAPP_int_bool(v0, v6) = v7
% 273.74/45.24 & int(v6) & bool(v7) & hBOOL(v7))) & ! [v4: fun_nat_int] : ( ~
% 273.74/45.24 (power_power_int(zero_zero_int) = v4) | ? [v5: int] : ? [v6: bool] :
% 273.74/45.24 (hAPP_nat_int(v4, v3) = v5 & hAPP_int_bool(v0, v5) = v6 & int(v5) &
% 273.74/45.24 bool(v6) & ~ hBOOL(v6))))
% 273.74/45.24
% 273.74/45.24 (fact_134_zero__less__power2)
% 273.74/45.24 fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) & ?
% 273.74/45.24 [v0: fun_real_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.25 (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 & bit1(pls) = v1 &
% 273.74/45.25 bit0(v1) = v2 & number_number_of_nat(v2) = v3 & fun_real_bool(v0) & nat(v3)
% 273.74/45.25 & int(v2) & int(v1) & ! [v4: real] : ! [v5: fun_nat_real] : (v4 =
% 273.74/45.25 zero_zero_real | ~ (power_power_real(v4) = v5) | ~ real(v4) | ? [v6:
% 273.74/45.25 real] : ? [v7: bool] : (hAPP_real_bool(v0, v6) = v7 & hAPP_nat_real(v5,
% 273.74/45.25 v3) = v6 & real(v6) & bool(v7) & hBOOL(v7))) & ! [v4: fun_nat_real] :
% 273.74/45.25 ( ~ (power_power_real(zero_zero_real) = v4) | ? [v5: real] : ? [v6: bool]
% 273.74/45.25 : (hAPP_real_bool(v0, v5) = v6 & hAPP_nat_real(v4, v3) = v5 & real(v5) &
% 273.74/45.25 bool(v6) & ~ hBOOL(v6))))
% 273.74/45.25
% 273.74/45.25 (fact_135_power2__less__0)
% 273.74/45.25 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) & ? [v0:
% 273.74/45.25 int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.25 number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & ! [v3: int] :
% 273.74/45.25 ! [v4: fun_nat_int] : ( ~ (power_power_int(v3) = v4) | ~ int(v3) | ? [v5:
% 273.74/45.25 int] : ? [v6: fun_int_bool] : ? [v7: bool] :
% 273.74/45.25 (hAPP_i1948725293t_bool(ord_less_int, v5) = v6 & hAPP_nat_int(v4, v2) = v5
% 273.74/45.25 & hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) & int(v5) &
% 273.74/45.25 bool(v7) & ~ hBOOL(v7))))
% 273.74/45.25
% 273.74/45.25 (fact_136_power2__less__0)
% 273.74/45.25 fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) & ?
% 273.74/45.25 [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.25 number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & ! [v3: real]
% 273.74/45.25 : ! [v4: fun_nat_real] : ( ~ (power_power_real(v3) = v4) | ~ real(v3) | ?
% 273.74/45.25 [v5: real] : ? [v6: fun_real_bool] : ? [v7: bool] :
% 273.74/45.25 (hAPP_r1134773055l_bool(ord_less_real, v5) = v6 & hAPP_real_bool(v6,
% 273.74/45.25 zero_zero_real) = v7 & hAPP_nat_real(v4, v2) = v5 & fun_real_bool(v6)
% 273.74/45.25 & real(v5) & bool(v7) & ~ hBOOL(v7))))
% 273.74/45.25
% 273.74/45.25 (fact_137_sum__power2__gt__zero__iff)
% 273.74/45.25 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) & ? [v0:
% 273.74/45.25 fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] : (bit1(pls) = v1
% 273.74/45.25 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.74/45.25 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0)
% 273.74/45.25 & nat(v3) & int(v2) & int(v1) & ! [v4: int] : ! [v5: int] : ! [v6:
% 273.74/45.25 fun_nat_int] : ! [v7: int] : ! [v8: fun_nat_int] : ! [v9: int] : !
% 273.74/45.25 [v10: int] : (v5 = zero_zero_int | ~ (power_power_int(v5) = v8) | ~
% 273.74/45.25 (power_power_int(v4) = v6) | ~ (hAPP_nat_int(v8, v3) = v9) | ~
% 273.74/45.25 (hAPP_nat_int(v6, v3) = v7) | ~ (plus_plus_int(v7, v9) = v10) | ~
% 273.74/45.25 int(v5) | ~ int(v4) | ? [v11: bool] : (hAPP_int_bool(v0, v10) = v11 &
% 273.74/45.25 bool(v11) & hBOOL(v11))) & ! [v4: int] : ! [v5: int] : ! [v6:
% 273.74/45.25 fun_nat_int] : ! [v7: int] : ! [v8: fun_nat_int] : ! [v9: int] : !
% 273.74/45.25 [v10: int] : (v4 = zero_zero_int | ~ (power_power_int(v5) = v8) | ~
% 273.74/45.25 (power_power_int(v4) = v6) | ~ (hAPP_nat_int(v8, v3) = v9) | ~
% 273.74/45.25 (hAPP_nat_int(v6, v3) = v7) | ~ (plus_plus_int(v7, v9) = v10) | ~
% 273.74/45.25 int(v5) | ~ int(v4) | ? [v11: bool] : (hAPP_int_bool(v0, v10) = v11 &
% 273.74/45.25 bool(v11) & hBOOL(v11))) & ! [v4: fun_nat_int] : ! [v5: int] : ! [v6:
% 273.74/45.25 int] : ( ~ (power_power_int(zero_zero_int) = v4) | ~ (hAPP_nat_int(v4,
% 273.74/45.25 v3) = v5) | ~ (plus_plus_int(v5, v5) = v6) | ? [v7: bool] :
% 273.74/45.25 (hAPP_int_bool(v0, v6) = v7 & bool(v7) & ~ hBOOL(v7))))
% 273.74/45.25
% 273.74/45.25 (fact_138_sum__power2__gt__zero__iff)
% 273.74/45.25 fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) & ?
% 273.74/45.25 [v0: fun_real_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.25 (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 & bit1(pls) = v1 &
% 273.74/45.25 bit0(v1) = v2 & number_number_of_nat(v2) = v3 & fun_real_bool(v0) & nat(v3)
% 273.74/45.25 & int(v2) & int(v1) & ! [v4: real] : ! [v5: real] : ! [v6: fun_nat_real]
% 273.74/45.25 : ! [v7: real] : ! [v8: fun_nat_real] : ! [v9: real] : ! [v10: real] :
% 273.74/45.25 (v5 = zero_zero_real | ~ (power_power_real(v5) = v8) | ~
% 273.74/45.25 (power_power_real(v4) = v6) | ~ (hAPP_nat_real(v8, v3) = v9) | ~
% 273.74/45.25 (hAPP_nat_real(v6, v3) = v7) | ~ (plus_plus_real(v7, v9) = v10) | ~
% 273.74/45.25 real(v5) | ~ real(v4) | ? [v11: bool] : (hAPP_real_bool(v0, v10) = v11 &
% 273.74/45.25 bool(v11) & hBOOL(v11))) & ! [v4: real] : ! [v5: real] : ! [v6:
% 273.74/45.25 fun_nat_real] : ! [v7: real] : ! [v8: fun_nat_real] : ! [v9: real] : !
% 273.74/45.25 [v10: real] : (v4 = zero_zero_real | ~ (power_power_real(v5) = v8) | ~
% 273.74/45.25 (power_power_real(v4) = v6) | ~ (hAPP_nat_real(v8, v3) = v9) | ~
% 273.74/45.25 (hAPP_nat_real(v6, v3) = v7) | ~ (plus_plus_real(v7, v9) = v10) | ~
% 273.74/45.25 real(v5) | ~ real(v4) | ? [v11: bool] : (hAPP_real_bool(v0, v10) = v11 &
% 273.74/45.25 bool(v11) & hBOOL(v11))) & ! [v4: fun_nat_real] : ! [v5: real] : !
% 273.74/45.25 [v6: real] : ( ~ (power_power_real(zero_zero_real) = v4) | ~
% 273.74/45.25 (hAPP_nat_real(v4, v3) = v5) | ~ (plus_plus_real(v5, v5) = v6) | ? [v7:
% 273.74/45.25 bool] : (hAPP_real_bool(v0, v6) = v7 & bool(v7) & ~ hBOOL(v7))))
% 273.74/45.25
% 273.74/45.25 (fact_139_not__sum__power2__lt__zero)
% 273.74/45.25 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) & ? [v0:
% 273.74/45.25 int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.25 number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & ! [v3: int] :
% 273.74/45.25 ! [v4: int] : ! [v5: fun_nat_int] : ! [v6: int] : ! [v7: fun_nat_int] :
% 273.74/45.25 ! [v8: int] : ! [v9: int] : ( ~ (power_power_int(v4) = v7) | ~
% 273.74/45.25 (power_power_int(v3) = v5) | ~ (hAPP_nat_int(v7, v2) = v8) | ~
% 273.74/45.25 (hAPP_nat_int(v5, v2) = v6) | ~ (plus_plus_int(v6, v8) = v9) | ~ int(v4)
% 273.74/45.25 | ~ int(v3) | ? [v10: fun_int_bool] : ? [v11: bool] :
% 273.74/45.25 (hAPP_i1948725293t_bool(ord_less_int, v9) = v10 & hAPP_int_bool(v10,
% 273.74/45.25 zero_zero_int) = v11 & fun_int_bool(v10) & bool(v11) & ~
% 273.74/45.25 hBOOL(v11))))
% 273.74/45.25
% 273.74/45.25 (fact_13_add__special_I2_J)
% 273.74/45.25 real(one_one_real) & int(pls) & ? [v0: int] : (bit1(pls) = v0 & int(v0) & !
% 273.74/45.25 [v1: int] : ! [v2: int] : ( ~ (plus_plus_int(v0, v1) = v2) | ~ int(v1) |
% 273.74/45.25 ? [v3: real] : ? [v4: real] : (number267125858f_real(v2) = v4 &
% 273.74/45.25 number267125858f_real(v1) = v3 & plus_plus_real(one_one_real, v3) = v4 &
% 273.74/45.25 real(v4) & real(v3))))
% 273.74/45.25
% 273.74/45.25 (fact_140_not__sum__power2__lt__zero)
% 273.74/45.26 fun_re413263731l_bool(ord_less_real) & real(zero_zero_real) & int(pls) & ?
% 273.74/45.26 [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.26 number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) & ! [v3: real]
% 273.74/45.26 : ! [v4: real] : ! [v5: fun_nat_real] : ! [v6: real] : ! [v7:
% 273.74/45.26 fun_nat_real] : ! [v8: real] : ! [v9: real] : ( ~ (power_power_real(v4)
% 273.74/45.26 = v7) | ~ (power_power_real(v3) = v5) | ~ (hAPP_nat_real(v7, v2) = v8)
% 273.74/45.26 | ~ (hAPP_nat_real(v5, v2) = v6) | ~ (plus_plus_real(v6, v8) = v9) | ~
% 273.74/45.26 real(v4) | ~ real(v3) | ? [v10: fun_real_bool] : ? [v11: bool] :
% 273.74/45.26 (hAPP_r1134773055l_bool(ord_less_real, v9) = v10 & hAPP_real_bool(v10,
% 273.74/45.26 zero_zero_real) = v11 & fun_real_bool(v10) & bool(v11) & ~
% 273.74/45.26 hBOOL(v11))))
% 273.74/45.26
% 273.74/45.26 (fact_145_semiring__numeral__1__eq__1)
% 273.74/45.26 int(pls) & int(one_one_int) & ? [v0: int] : (number_number_of_int(v0) =
% 273.74/45.26 one_one_int & bit1(pls) = v0 & int(v0))
% 273.74/45.26
% 273.74/45.26 (fact_146_semiring__numeral__1__eq__1)
% 273.74/45.26 nat(one_one_nat) & int(pls) & ? [v0: int] : (bit1(pls) = v0 &
% 273.74/45.26 number_number_of_nat(v0) = one_one_nat & int(v0))
% 273.74/45.26
% 273.74/45.26 (fact_147_semiring__numeral__1__eq__1)
% 273.74/45.26 real(one_one_real) & int(pls) & ? [v0: int] : (number267125858f_real(v0) =
% 273.74/45.26 one_one_real & bit1(pls) = v0 & int(v0))
% 273.74/45.26
% 273.74/45.26 (fact_148_mn)
% 273.74/45.26 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.26 nat(n) & int(m1) & int(one_one_int) & ? [v0: fun_int_bool] : ? [v1: int] :
% 273.74/45.26 ? [v2: int] : ? [v3: bool] : (hAPP_i1948725293t_bool(ord_less_int, m1) = v0 &
% 273.74/45.26 hAPP_nat_int(semiri1621563631at_int, n) = v1 & plus_plus_int(one_one_int,
% 273.74/45.26 v1) = v2 & hAPP_int_bool(v0, v2) = v3 & fun_int_bool(v0) & int(v2) &
% 273.74/45.26 int(v1) & bool(v3) & hBOOL(v3))
% 273.74/45.26
% 273.74/45.26 (fact_149_of__nat__less__two__power)
% 273.74/45.26 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.26 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_nat_int] :
% 273.74/45.26 (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.26 power_power_int(v2) = v3 & fun_nat_int(v3) & int(v2) & int(v1) & int(v0) &
% 273.74/45.26 ! [v4: nat] : ! [v5: int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8:
% 273.74/45.26 bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 273.74/45.26 (hAPP_nat_int(v3, v4) = v7) | ~ (hAPP_nat_int(semiri1621563631at_int, v4)
% 273.74/45.26 = v5) | ~ (hAPP_int_bool(v6, v7) = v8) | ~ nat(v4) | hBOOL(v8)))
% 273.74/45.26
% 273.74/45.26 (fact_14_add__special_I3_J)
% 273.74/45.26 int(pls) & int(one_one_int) & ? [v0: int] : (bit1(pls) = v0 & int(v0) & !
% 273.74/45.26 [v1: int] : ! [v2: int] : ( ~ (plus_plus_int(v1, v0) = v2) | ~ int(v1) |
% 273.74/45.26 ? [v3: int] : ? [v4: int] : (number_number_of_int(v2) = v4 &
% 273.74/45.26 number_number_of_int(v1) = v3 & plus_plus_int(v3, one_one_int) = v4 &
% 273.74/45.26 int(v4) & int(v3))))
% 273.74/45.26
% 273.74/45.26 (fact_150_of__nat__less__two__power)
% 273.74/45.26 fun_re413263731l_bool(ord_less_real) & fun_nat_real(semiri132038758t_real) &
% 273.74/45.26 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: real] : ? [v3: fun_nat_real]
% 273.74/45.26 : (number267125858f_real(v1) = v2 & power_power_real(v2) = v3 & bit1(pls) = v0
% 273.74/45.26 & bit0(v0) = v1 & fun_nat_real(v3) & real(v2) & int(v1) & int(v0) & ! [v4:
% 273.74/45.26 nat] : ! [v5: real] : ! [v6: fun_real_bool] : ! [v7: real] : ! [v8:
% 273.74/45.26 bool] : ( ~ (hAPP_r1134773055l_bool(ord_less_real, v5) = v6) | ~
% 273.74/45.26 (hAPP_real_bool(v6, v7) = v8) | ~ (hAPP_nat_real(v3, v4) = v7) | ~
% 273.74/45.26 (hAPP_nat_real(semiri132038758t_real, v4) = v5) | ~ nat(v4) | hBOOL(v8)))
% 273.74/45.26
% 273.74/45.26 (fact_151_transfer__int__nat__numerals_I3_J)
% 273.74/45.26 fun_nat_int(semiri1621563631at_int) & int(pls) & ? [v0: int] : ? [v1: int] :
% 273.74/45.26 ? [v2: int] : ? [v3: nat] : (number_number_of_int(v1) = v2 & bit1(pls) = v0
% 273.74/45.26 & bit0(v0) = v1 & number_number_of_nat(v1) = v3 &
% 273.74/45.26 hAPP_nat_int(semiri1621563631at_int, v3) = v2 & nat(v3) & int(v2) & int(v1)
% 273.74/45.26 & int(v0))
% 273.74/45.26
% 273.74/45.26 (fact_152_transfer__int__nat__numerals_I4_J)
% 273.74/45.26 fun_nat_int(semiri1621563631at_int) & int(pls) & ? [v0: int] : ? [v1: int] :
% 273.74/45.26 ? [v2: int] : ? [v3: nat] : (number_number_of_int(v1) = v2 & bit1(v0) = v1 &
% 273.74/45.26 bit1(pls) = v0 & number_number_of_nat(v1) = v3 &
% 273.74/45.26 hAPP_nat_int(semiri1621563631at_int, v3) = v2 & nat(v3) & int(v2) & int(v1)
% 273.74/45.26 & int(v0))
% 273.74/45.26
% 273.74/45.26 (fact_153_realpow__two__sum__zero__iff)
% 273.74/45.26 real(zero_zero_real) & int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] :
% 273.74/45.26 (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 273.74/45.26 int(v1) & int(v0) & ! [v3: real] : ! [v4: real] : ! [v5: fun_nat_real] :
% 273.74/45.26 ! [v6: real] : ! [v7: fun_nat_real] : ! [v8: real] : (v4 = zero_zero_real
% 273.74/45.26 | ~ (power_power_real(v4) = v7) | ~ (power_power_real(v3) = v5) | ~
% 273.74/45.26 (hAPP_nat_real(v7, v2) = v8) | ~ (hAPP_nat_real(v5, v2) = v6) | ~
% 273.74/45.26 (plus_plus_real(v6, v8) = zero_zero_real) | ~ real(v4) | ~ real(v3)) &
% 273.74/45.26 ! [v3: real] : ! [v4: real] : ! [v5: fun_nat_real] : ! [v6: real] : !
% 273.74/45.26 [v7: fun_nat_real] : ! [v8: real] : (v3 = zero_zero_real | ~
% 273.74/45.26 (power_power_real(v4) = v7) | ~ (power_power_real(v3) = v5) | ~
% 273.74/45.26 (hAPP_nat_real(v7, v2) = v8) | ~ (hAPP_nat_real(v5, v2) = v6) | ~
% 273.74/45.26 (plus_plus_real(v6, v8) = zero_zero_real) | ~ real(v4) | ~ real(v3)) &
% 273.74/45.26 ! [v3: fun_nat_real] : ! [v4: real] : ! [v5: real] : (v5 = zero_zero_real
% 273.74/45.26 | ~ (power_power_real(zero_zero_real) = v3) | ~ (hAPP_nat_real(v3, v2) =
% 273.74/45.26 v4) | ~ (plus_plus_real(v4, v4) = v5)))
% 273.74/45.26
% 273.74/45.26 (fact_154_of__nat__0__less__iff)
% 273.74/45.27 fun_nat_fun_nat_bool(ord_less_nat) & fun_nat_int(semiri1621563631at_int) &
% 273.74/45.27 fun_int_fun_int_bool(ord_less_int) & nat(zero_zero_nat) & int(zero_zero_int) &
% 273.74/45.27 ? [v0: fun_int_bool] : ? [v1: fun_nat_bool] :
% 273.74/45.27 (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 273.74/45.27 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_nat_bool(v1)
% 273.74/45.27 & fun_int_bool(v0) & ! [v2: nat] : ! [v3: bool] : ( ~ (hAPP_nat_bool(v1,
% 273.74/45.27 v2) = v3) | ~ nat(v2) | ~ hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.74/45.27 (hAPP_nat_int(semiri1621563631at_int, v2) = v4 & hAPP_int_bool(v0, v4) =
% 273.74/45.27 v5 & int(v4) & bool(v5) & hBOOL(v5))) & ! [v2: nat] : ! [v3: bool] : (
% 273.74/45.27 ~ (hAPP_nat_bool(v1, v2) = v3) | ~ nat(v2) | hBOOL(v3) | ? [v4: int] :
% 273.74/45.27 ? [v5: bool] : (hAPP_nat_int(semiri1621563631at_int, v2) = v4 &
% 273.74/45.27 hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.27
% 273.74/45.27 (fact_157_one__less__power)
% 273.74/45.27 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.27 nat(zero_zero_nat) & int(one_one_int) & ? [v0: fun_int_bool] : ? [v1:
% 273.74/45.27 fun_nat_bool] : (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 273.74/45.27 hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_nat_bool(v1) &
% 273.74/45.27 fun_int_bool(v0) & ! [v2: nat] : ! [v3: int] : ! [v4: bool] : ! [v5:
% 273.74/45.27 bool] : ( ~ (hAPP_nat_bool(v1, v2) = v5) | ~ (hAPP_int_bool(v0, v3) = v4)
% 273.74/45.27 | ~ nat(v2) | ~ int(v3) | ~ hBOOL(v5) | ~ hBOOL(v4) | ? [v6:
% 273.74/45.27 fun_nat_int] : ? [v7: int] : ? [v8: bool] : (power_power_int(v3) = v6
% 273.74/45.27 & hAPP_nat_int(v6, v2) = v7 & hAPP_int_bool(v0, v7) = v8 &
% 273.74/45.27 fun_nat_int(v6) & int(v7) & bool(v8) & hBOOL(v8))))
% 273.74/45.27
% 273.74/45.27 (fact_15_add__special_I3_J)
% 273.74/45.27 real(one_one_real) & int(pls) & ? [v0: int] : (bit1(pls) = v0 & int(v0) & !
% 273.74/45.27 [v1: int] : ! [v2: int] : ( ~ (plus_plus_int(v1, v0) = v2) | ~ int(v1) |
% 273.74/45.27 ? [v3: real] : ? [v4: real] : (number267125858f_real(v2) = v4 &
% 273.74/45.27 number267125858f_real(v1) = v3 & plus_plus_real(v3, one_one_real) = v4 &
% 273.74/45.27 real(v4) & real(v3))))
% 273.74/45.27
% 273.74/45.27 (fact_163_power__strict__decreasing)
% 273.74/45.27 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.27 int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] :
% 273.74/45.27 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.27 ! [v1: int] : ! [v2: nat] : ! [v3: nat] : ! [v4: fun_nat_int] : ! [v5:
% 273.74/45.27 int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 273.74/45.27 (power_power_int(v1) = v4) | ~ (hAPP_i1948725293t_bool(ord_less_int, v5)
% 273.74/45.27 = v6) | ~ (hAPP_nat_int(v4, v3) = v5) | ~ (hAPP_nat_int(v4, v2) = v7)
% 273.74/45.27 | ~ (hAPP_int_bool(v6, v7) = v8) | ~ nat(v3) | ~ nat(v2) | ~ int(v1) |
% 273.74/45.27 hBOOL(v8) | ? [v9: fun_nat_bool] : ? [v10: bool] : ? [v11: bool] : ?
% 273.74/45.27 [v12: fun_int_bool] : ? [v13: bool] :
% 273.74/45.27 ((hAPP_n1699378549t_bool(ord_less_nat, v2) = v9 & hAPP_nat_bool(v9, v3) =
% 273.74/45.27 v10 & fun_nat_bool(v9) & bool(v10) & ~ hBOOL(v10)) |
% 273.74/45.27 (hAPP_i1948725293t_bool(ord_less_int, v1) = v12 & hAPP_int_bool(v12,
% 273.74/45.27 one_one_int) = v13 & fun_int_bool(v12) & bool(v13) & ~ hBOOL(v13))
% 273.74/45.27 | (hAPP_int_bool(v0, v1) = v11 & bool(v11) & ~ hBOOL(v11)))))
% 273.74/45.27
% 273.74/45.27 (fact_166_zero__less__two)
% 273.74/45.27 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.27 ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: bool] :
% 273.74/45.27 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.27 plus_plus_int(one_one_int, one_one_int) = v1 & hAPP_int_bool(v0, v1) = v2 &
% 273.74/45.27 fun_int_bool(v0) & int(v1) & bool(v2) & hBOOL(v2))
% 273.74/45.27
% 273.74/45.27 (fact_167_zero__less__two)
% 273.74/45.27 fun_nat_fun_nat_bool(ord_less_nat) & nat(zero_zero_nat) & nat(one_one_nat) &
% 273.74/45.27 ? [v0: fun_nat_bool] : ? [v1: nat] : ? [v2: bool] :
% 273.74/45.27 (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 & hAPP_nat_bool(v0,
% 273.74/45.27 v1) = v2 & plus_plus_nat(one_one_nat, one_one_nat) = v1 & fun_nat_bool(v0)
% 273.74/45.27 & nat(v1) & bool(v2) & hBOOL(v2))
% 273.74/45.27
% 273.74/45.27 (fact_16_one__add__one__is__two)
% 273.74/45.27 int(pls) & int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: int] :
% 273.74/45.27 (number_number_of_int(v2) = v0 & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.27 plus_plus_int(one_one_int, one_one_int) = v0 & int(v2) & int(v1) & int(v0))
% 273.74/45.27
% 273.74/45.27 (fact_17_one__add__one__is__two)
% 273.74/45.27 real(one_one_real) & int(pls) & ? [v0: real] : ? [v1: int] : ? [v2: int] :
% 273.74/45.27 (number267125858f_real(v2) = v0 & plus_plus_real(one_one_real, one_one_real) =
% 273.74/45.27 v0 & bit1(pls) = v1 & bit0(v1) = v2 & real(v0) & int(v2) & int(v1))
% 273.74/45.27
% 273.74/45.27 (fact_18_semiring__one__add__one__is__two)
% 273.74/45.27 int(pls) & int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: int] :
% 273.74/45.27 (number_number_of_int(v2) = v0 & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.27 plus_plus_int(one_one_int, one_one_int) = v0 & int(v2) & int(v1) & int(v0))
% 273.74/45.27
% 273.74/45.27 (fact_19_semiring__one__add__one__is__two)
% 273.74/45.27 nat(one_one_nat) & int(pls) & ? [v0: nat] : ? [v1: int] : ? [v2: int] :
% 273.74/45.27 (plus_plus_nat(one_one_nat, one_one_nat) = v0 & bit1(pls) = v1 & bit0(v1) = v2
% 273.74/45.27 & number_number_of_nat(v2) = v0 & nat(v0) & int(v2) & int(v1))
% 273.74/45.27
% 273.74/45.27 (fact_1_t1)
% 273.74/45.27 fun_int_fun_int_bool(ord_less_int) & int(t) & int(one_one_int) & ? [v0:
% 273.74/45.27 fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.27 one_one_int) = v0 & hAPP_int_bool(v0, t) = v1 & fun_int_bool(v0) &
% 273.74/45.27 bool(v1) & hBOOL(v1))
% 273.74/45.27
% 273.74/45.27 (fact_208_less__nat__number__of)
% 273.74/45.28 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.28 int(pls) & ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, pls)
% 273.74/45.28 = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : !
% 273.74/45.28 [v4: fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~
% 273.74/45.28 (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~ (hAPP_nat_bool(v4,
% 273.74/45.28 v5) = v6) | ~ (number_number_of_nat(v2) = v5) | ~
% 273.74/45.28 (number_number_of_nat(v1) = v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v6) |
% 273.74/45.28 ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: bool] :
% 273.74/45.28 (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 & hAPP_int_bool(v7, v2) =
% 273.74/45.28 v8 & hAPP_int_bool(v0, v2) = v9 & fun_int_bool(v7) & bool(v9) & bool(v8)
% 273.74/45.28 & hBOOL(v9) & hBOOL(v8))) & ! [v1: int] : ! [v2: int] : ! [v3: nat] :
% 273.74/45.28 ! [v4: fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~
% 273.74/45.28 (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~ (hAPP_nat_bool(v4,
% 273.74/45.28 v5) = v6) | ~ (number_number_of_nat(v2) = v5) | ~
% 273.74/45.28 (number_number_of_nat(v1) = v3) | ~ int(v2) | ~ int(v1) | hBOOL(v6) | ?
% 273.74/45.28 [v7: fun_int_bool] : ? [v8: bool] : ? [v9: bool] :
% 273.74/45.28 (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 & hAPP_int_bool(v7, v2) =
% 273.74/45.28 v8 & fun_int_bool(v7) & bool(v8) & ( ~ hBOOL(v8) | (hAPP_int_bool(v0,
% 273.74/45.28 v2) = v9 & bool(v9) & ~ hBOOL(v9))))))
% 273.74/45.28
% 273.74/45.28 (fact_20_semiring__one__add__one__is__two)
% 273.74/45.28 real(one_one_real) & int(pls) & ? [v0: real] : ? [v1: int] : ? [v2: int] :
% 273.74/45.28 (number267125858f_real(v2) = v0 & plus_plus_real(one_one_real, one_one_real) =
% 273.74/45.28 v0 & bit1(pls) = v1 & bit0(v1) = v2 & real(v0) & int(v2) & int(v1))
% 273.74/45.28
% 273.74/45.28 (fact_21_quartic__square__square)
% 273.74/45.28 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 273.74/45.28 nat] : (bit1(pls) = v0 & bit0(v1) = v3 & bit0(v0) = v1 &
% 273.74/45.28 number_number_of_nat(v3) = v4 & number_number_of_nat(v1) = v2 & nat(v4) &
% 273.74/45.28 nat(v2) & int(v3) & int(v1) & int(v0) & ! [v5: int] : ! [v6: fun_nat_int]
% 273.74/45.28 : ( ~ (power_power_int(v5) = v6) | ~ int(v5) | ? [v7: int] : ? [v8:
% 273.74/45.28 fun_nat_int] : ? [v9: int] : (power_power_int(v7) = v8 &
% 273.74/45.28 hAPP_nat_int(v8, v2) = v9 & hAPP_nat_int(v6, v4) = v9 & hAPP_nat_int(v6,
% 273.74/45.28 v2) = v7 & fun_nat_int(v8) & int(v9) & int(v7))))
% 273.74/45.28
% 273.74/45.28 (fact_223_less__0__number__of)
% 273.74/45.28 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.28 nat(zero_zero_nat) & int(pls) & ? [v0: fun_nat_bool] : ? [v1: fun_int_bool]
% 273.74/45.28 : (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 &
% 273.74/45.28 hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_nat_bool(v0) &
% 273.74/45.28 fun_int_bool(v1) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.74/45.28 = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: nat] : ? [v5: bool] :
% 273.74/45.28 (hAPP_nat_bool(v0, v4) = v5 & number_number_of_nat(v2) = v4 & nat(v4) &
% 273.74/45.28 bool(v5) & hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.28 (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: nat] : ?
% 273.74/45.28 [v5: bool] : (hAPP_nat_bool(v0, v4) = v5 & number_number_of_nat(v2) = v4 &
% 273.74/45.28 nat(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.28
% 273.74/45.28 (fact_224_zero__less__int__conv)
% 273.74/45.28 fun_nat_fun_nat_bool(ord_less_nat) & fun_nat_int(semiri1621563631at_int) &
% 273.74/45.28 fun_int_fun_int_bool(ord_less_int) & nat(zero_zero_nat) & int(zero_zero_int) &
% 273.74/45.28 ? [v0: fun_int_bool] : ? [v1: fun_nat_bool] :
% 273.74/45.28 (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 273.74/45.28 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_nat_bool(v1)
% 273.74/45.28 & fun_int_bool(v0) & ! [v2: nat] : ! [v3: bool] : ( ~ (hAPP_nat_bool(v1,
% 273.74/45.28 v2) = v3) | ~ nat(v2) | ~ hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.74/45.28 (hAPP_nat_int(semiri1621563631at_int, v2) = v4 & hAPP_int_bool(v0, v4) =
% 273.74/45.28 v5 & int(v4) & bool(v5) & hBOOL(v5))) & ! [v2: nat] : ! [v3: bool] : (
% 273.74/45.28 ~ (hAPP_nat_bool(v1, v2) = v3) | ~ nat(v2) | hBOOL(v3) | ? [v4: int] :
% 273.74/45.28 ? [v5: bool] : (hAPP_nat_int(semiri1621563631at_int, v2) = v4 &
% 273.74/45.28 hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.28
% 273.74/45.28 (fact_248_of__nat__1)
% 273.74/45.28 hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int &
% 273.74/45.28 fun_nat_int(semiri1621563631at_int) & nat(one_one_nat) & int(one_one_int)
% 273.74/45.28
% 273.74/45.28 (fact_254_transfer__int__nat__numerals_I2_J)
% 273.74/45.28 hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int &
% 273.74/45.28 fun_nat_int(semiri1621563631at_int) & nat(one_one_nat) & int(one_one_int)
% 273.74/45.28
% 273.74/45.28 (fact_257_pos__add__strict)
% 273.74/45.28 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.28 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.28 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.28 fun_int_bool] : ! [v5: int] : ! [v6: bool] : ( ~
% 273.74/45.28 (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) | ~ (plus_plus_int(v3,
% 273.74/45.28 v2) = v5) | ~ (hAPP_int_bool(v4, v5) = v6) | ~ int(v3) | ~ int(v2)
% 273.74/45.28 | ~ int(v1) | hBOOL(v6) | ? [v7: bool] : ? [v8: bool] :
% 273.74/45.28 ((hAPP_int_bool(v4, v2) = v8 & bool(v8) & ~ hBOOL(v8)) |
% 273.74/45.28 (hAPP_int_bool(v0, v3) = v7 & bool(v7) & ~ hBOOL(v7)))))
% 273.74/45.28
% 273.74/45.28 (fact_25_semiring__norm_I110_J)
% 273.74/45.28 int(pls) & int(one_one_int) & ? [v0: int] : (number_number_of_int(v0) =
% 273.74/45.28 one_one_int & bit1(pls) = v0 & int(v0))
% 273.74/45.28
% 273.74/45.28 (fact_260_not__one__less__zero)
% 273.74/45.28 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.28 ? [v0: fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.28 one_one_int) = v0 & hAPP_int_bool(v0, zero_zero_int) = v1 &
% 273.74/45.28 fun_int_bool(v0) & bool(v1) & ~ hBOOL(v1))
% 273.74/45.28
% 273.74/45.28 (fact_263_zero__less__one)
% 273.74/45.28 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.28 ? [v0: fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.28 zero_zero_int) = v0 & hAPP_int_bool(v0, one_one_int) = v1 &
% 273.74/45.28 fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 273.74/45.28
% 273.74/45.28 (fact_266_zero__less__power)
% 273.74/45.28 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.28 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.28 fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: fun_nat_int] : !
% 273.74/45.28 [v4: int] : ( ~ (power_power_int(v2) = v3) | ~ (hAPP_nat_int(v3, v1) = v4)
% 273.74/45.28 | ~ nat(v1) | ~ int(v2) | ? [v5: bool] : ? [v6: bool] :
% 273.74/45.28 ((hAPP_int_bool(v0, v4) = v6 & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v0,
% 273.74/45.28 v2) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.74/45.29
% 273.74/45.29 (fact_26_semiring__norm_I110_J)
% 273.74/45.29 real(one_one_real) & int(pls) & ? [v0: int] : (number267125858f_real(v0) =
% 273.74/45.29 one_one_real & bit1(pls) = v0 & int(v0))
% 273.74/45.29
% 273.74/45.29 (fact_272_power__inject__exp)
% 273.74/45.29 fun_int_fun_int_bool(ord_less_int) & int(one_one_int) & ? [v0: fun_int_bool]
% 273.74/45.29 : (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_int_bool(v0) &
% 273.74/45.29 ! [v1: nat] : ! [v2: nat] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5:
% 273.74/45.29 int] : (v2 = v1 | ~ (power_power_int(v3) = v4) | ~ (hAPP_nat_int(v4, v2)
% 273.74/45.29 = v5) | ~ (hAPP_nat_int(v4, v1) = v5) | ~ nat(v2) | ~ nat(v1) | ~
% 273.74/45.29 int(v3) | ? [v6: bool] : (hAPP_int_bool(v0, v3) = v6 & bool(v6) & ~
% 273.74/45.29 hBOOL(v6))))
% 273.74/45.29
% 273.74/45.29 (fact_275_power__strict__increasing__iff)
% 273.74/45.29 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.29 int(one_one_int) & ? [v0: fun_int_bool] :
% 273.74/45.29 (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_int_bool(v0) &
% 273.74/45.29 ! [v1: nat] : ! [v2: nat] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5:
% 273.74/45.29 int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 273.74/45.29 (power_power_int(v3) = v4) | ~ (hAPP_i1948725293t_bool(ord_less_int, v5)
% 273.74/45.29 = v6) | ~ (hAPP_nat_int(v4, v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5)
% 273.74/45.29 | ~ (hAPP_int_bool(v6, v7) = v8) | ~ nat(v2) | ~ nat(v1) | ~ int(v3) |
% 273.74/45.29 ? [v9: bool] : ? [v10: fun_nat_bool] : ? [v11: bool] :
% 273.74/45.29 ((hAPP_int_bool(v0, v3) = v9 & bool(v9) & ~ hBOOL(v9)) | (( ~ hBOOL(v8) |
% 273.74/45.29 (hAPP_n1699378549t_bool(ord_less_nat, v1) = v10 & hAPP_nat_bool(v10,
% 273.74/45.29 v2) = v11 & fun_nat_bool(v10) & bool(v11) & hBOOL(v11))) &
% 273.74/45.29 (hBOOL(v8) | (hAPP_n1699378549t_bool(ord_less_nat, v1) = v10 &
% 273.74/45.29 hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) & bool(v11) & ~
% 273.74/45.29 hBOOL(v11)))))))
% 273.74/45.29
% 273.74/45.29 (fact_278_power__less__imp__less__exp)
% 273.74/45.29 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.29 int(one_one_int) & ? [v0: fun_int_bool] :
% 273.74/45.29 (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_int_bool(v0) &
% 273.74/45.29 ! [v1: nat] : ! [v2: nat] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5:
% 273.74/45.29 int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 273.74/45.29 (power_power_int(v3) = v4) | ~ (hAPP_i1948725293t_bool(ord_less_int, v5)
% 273.74/45.29 = v6) | ~ (hAPP_nat_int(v4, v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5)
% 273.74/45.29 | ~ (hAPP_int_bool(v6, v7) = v8) | ~ nat(v2) | ~ nat(v1) | ~ int(v3) |
% 273.74/45.29 ~ hBOOL(v8) | ? [v9: bool] : ? [v10: fun_nat_bool] : ? [v11: bool] :
% 273.74/45.29 ((hAPP_n1699378549t_bool(ord_less_nat, v1) = v10 & hAPP_nat_bool(v10, v2)
% 273.74/45.29 = v11 & fun_nat_bool(v10) & bool(v11) & hBOOL(v11)) |
% 273.74/45.29 (hAPP_int_bool(v0, v3) = v9 & bool(v9) & ~ hBOOL(v9)))))
% 273.74/45.29
% 273.74/45.29 (fact_27_numeral__1__eq__1)
% 273.74/45.29 int(pls) & int(one_one_int) & ? [v0: int] : (number_number_of_int(v0) =
% 273.74/45.29 one_one_int & bit1(pls) = v0 & int(v0))
% 273.74/45.29
% 273.74/45.29 (fact_281_power__strict__increasing)
% 273.74/45.29 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.29 int(one_one_int) & ? [v0: fun_int_bool] :
% 273.74/45.29 (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_int_bool(v0) &
% 273.74/45.29 ! [v1: int] : ! [v2: nat] : ! [v3: nat] : ! [v4: fun_nat_int] : ! [v5:
% 273.74/45.29 int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 273.74/45.29 (power_power_int(v1) = v4) | ~ (hAPP_i1948725293t_bool(ord_less_int, v5)
% 273.74/45.29 = v6) | ~ (hAPP_nat_int(v4, v3) = v7) | ~ (hAPP_nat_int(v4, v2) = v5)
% 273.74/45.29 | ~ (hAPP_int_bool(v6, v7) = v8) | ~ nat(v3) | ~ nat(v2) | ~ int(v1) |
% 273.74/45.29 hBOOL(v8) | ? [v9: fun_nat_bool] : ? [v10: bool] : ? [v11: bool] :
% 273.74/45.29 ((hAPP_n1699378549t_bool(ord_less_nat, v2) = v9 & hAPP_nat_bool(v9, v3) =
% 273.74/45.29 v10 & fun_nat_bool(v9) & bool(v10) & ~ hBOOL(v10)) |
% 273.74/45.29 (hAPP_int_bool(v0, v1) = v11 & bool(v11) & ~ hBOOL(v11)))))
% 273.74/45.29
% 273.74/45.29 (fact_28_numeral__1__eq__1)
% 273.74/45.29 real(one_one_real) & int(pls) & ? [v0: int] : (number267125858f_real(v0) =
% 273.74/45.29 one_one_real & bit1(pls) = v0 & int(v0))
% 273.74/45.29
% 273.74/45.29 (fact_296_pos2)
% 273.74/45.29 fun_nat_fun_nat_bool(ord_less_nat) & nat(zero_zero_nat) & int(pls) & ? [v0:
% 273.74/45.29 fun_nat_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] : ? [v4: bool] :
% 273.74/45.29 (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 & hAPP_nat_bool(v0,
% 273.74/45.29 v3) = v4 & bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3
% 273.74/45.29 & fun_nat_bool(v0) & nat(v3) & int(v2) & int(v1) & bool(v4) & hBOOL(v4))
% 273.74/45.29
% 273.74/45.29 (fact_297_zero__less__imp__eq__int)
% 273.74/45.29 fun_nat_fun_nat_bool(ord_less_nat) & fun_nat_int(semiri1621563631at_int) &
% 273.74/45.29 fun_int_fun_int_bool(ord_less_int) & nat(zero_zero_nat) & int(zero_zero_int) &
% 273.74/45.29 ? [v0: fun_int_bool] : ? [v1: fun_nat_bool] :
% 273.74/45.29 (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 273.74/45.29 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_nat_bool(v1)
% 273.74/45.29 & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v0,
% 273.74/45.29 v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: nat] : ? [v5: bool] :
% 273.74/45.29 (hAPP_nat_bool(v1, v4) = v5 & hAPP_nat_int(semiri1621563631at_int, v4) =
% 273.74/45.29 v2 & nat(v4) & bool(v5) & hBOOL(v5))))
% 273.74/45.29
% 273.74/45.29 (fact_2_sum__power2__eq__zero__iff)
% 273.74/45.30 int(pls) & int(zero_zero_int) & ? [v0: int] : ? [v1: int] : ? [v2: nat] :
% 273.74/45.30 (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 273.74/45.30 int(v1) & int(v0) & ! [v3: int] : ! [v4: int] : ! [v5: fun_nat_int] : !
% 273.74/45.30 [v6: int] : ! [v7: fun_nat_int] : ! [v8: int] : (v4 = zero_zero_int | ~
% 273.74/45.30 (power_power_int(v4) = v7) | ~ (power_power_int(v3) = v5) | ~
% 273.74/45.30 (hAPP_nat_int(v7, v2) = v8) | ~ (hAPP_nat_int(v5, v2) = v6) | ~
% 273.74/45.30 (plus_plus_int(v6, v8) = zero_zero_int) | ~ int(v4) | ~ int(v3)) & !
% 273.74/45.30 [v3: int] : ! [v4: int] : ! [v5: fun_nat_int] : ! [v6: int] : ! [v7:
% 273.74/45.30 fun_nat_int] : ! [v8: int] : (v3 = zero_zero_int | ~
% 273.74/45.30 (power_power_int(v4) = v7) | ~ (power_power_int(v3) = v5) | ~
% 273.74/45.30 (hAPP_nat_int(v7, v2) = v8) | ~ (hAPP_nat_int(v5, v2) = v6) | ~
% 273.74/45.30 (plus_plus_int(v6, v8) = zero_zero_int) | ~ int(v4) | ~ int(v3)) & !
% 273.74/45.30 [v3: fun_nat_int] : ! [v4: int] : ! [v5: int] : (v5 = zero_zero_int | ~
% 273.74/45.30 (power_power_int(zero_zero_int) = v3) | ~ (hAPP_nat_int(v3, v2) = v4) |
% 273.74/45.30 ~ (plus_plus_int(v4, v4) = v5)))
% 273.74/45.30
% 273.74/45.30 (fact_303_zero__less__double__add__iff__zero__less__single__add)
% 273.74/45.30 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.30 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.30 fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1)
% 273.74/45.30 = v2) | ~ int(v1) | ~ hBOOL(v2) | ? [v3: int] : ? [v4: bool] :
% 273.74/45.30 (plus_plus_int(v1, v1) = v3 & hAPP_int_bool(v0, v3) = v4 & int(v3) &
% 273.74/45.30 bool(v4) & hBOOL(v4))) & ! [v1: int] : ! [v2: bool] : ( ~
% 273.74/45.30 (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | hBOOL(v2) | ? [v3: int] : ?
% 273.74/45.30 [v4: bool] : (plus_plus_int(v1, v1) = v3 & hAPP_int_bool(v0, v3) = v4 &
% 273.74/45.30 int(v3) & bool(v4) & ~ hBOOL(v4))))
% 273.74/45.30
% 273.74/45.30 (fact_307_add__pos__pos)
% 273.74/45.30 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.30 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.30 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.30 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.30 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] :
% 273.74/45.30 ? [v6: bool] : (plus_plus_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.30 int(v5) & bool(v6) & hBOOL(v6))))
% 273.74/45.30
% 273.74/45.30 (fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J)
% 273.74/45.30 ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ (plus_plus_int(v0, v1) = v2)
% 273.74/45.30 | ~ int(v1) | ~ int(v0) | (plus_plus_int(v1, v0) = v2 & int(v2)))
% 273.74/45.30
% 273.74/45.30 (fact_35_zero__is__num__zero)
% 273.74/45.30 number_number_of_int(pls) = zero_zero_int & int(pls) & int(zero_zero_int)
% 273.74/45.30
% 273.74/45.30 (fact_3_sum__power2__eq__zero__iff)
% 273.74/45.30 real(zero_zero_real) & int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] :
% 273.74/45.30 (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) &
% 273.74/45.30 int(v1) & int(v0) & ! [v3: real] : ! [v4: real] : ! [v5: fun_nat_real] :
% 273.74/45.30 ! [v6: real] : ! [v7: fun_nat_real] : ! [v8: real] : (v4 = zero_zero_real
% 273.74/45.30 | ~ (power_power_real(v4) = v7) | ~ (power_power_real(v3) = v5) | ~
% 273.74/45.30 (hAPP_nat_real(v7, v2) = v8) | ~ (hAPP_nat_real(v5, v2) = v6) | ~
% 273.74/45.30 (plus_plus_real(v6, v8) = zero_zero_real) | ~ real(v4) | ~ real(v3)) &
% 273.74/45.30 ! [v3: real] : ! [v4: real] : ! [v5: fun_nat_real] : ! [v6: real] : !
% 273.74/45.30 [v7: fun_nat_real] : ! [v8: real] : (v3 = zero_zero_real | ~
% 273.74/45.30 (power_power_real(v4) = v7) | ~ (power_power_real(v3) = v5) | ~
% 273.74/45.30 (hAPP_nat_real(v7, v2) = v8) | ~ (hAPP_nat_real(v5, v2) = v6) | ~
% 273.74/45.30 (plus_plus_real(v6, v8) = zero_zero_real) | ~ real(v4) | ~ real(v3)) &
% 273.74/45.30 ! [v3: fun_nat_real] : ! [v4: real] : ! [v5: real] : (v5 = zero_zero_real
% 273.74/45.30 | ~ (power_power_real(zero_zero_real) = v3) | ~ (hAPP_nat_real(v3, v2) =
% 273.74/45.30 v4) | ~ (plus_plus_real(v4, v4) = v5)))
% 273.74/45.30
% 273.74/45.30 (fact_408_zadd__power3)
% 273.74/45.30 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 273.74/45.30 int] : ? [v5: nat] : (number_number_of_int(v1) = v3 & bit1(v0) = v1 &
% 273.74/45.30 bit1(pls) = v0 & bit0(v0) = v4 & number_number_of_nat(v4) = v5 &
% 273.74/45.30 number_number_of_nat(v1) = v2 & nat(v5) & nat(v2) & int(v4) & int(v3) &
% 273.74/45.30 int(v1) & int(v0) & ! [v6: int] : ! [v7: int] : ! [v8: fun_nat_int] : !
% 273.74/45.30 [v9: int] : ! [v10: int] : ! [v11: int] : ! [v12: int] : ! [v13: int] :
% 273.74/45.30 ! [v14: int] : ! [v15: fun_nat_int] : ! [v16: int] : ! [v17: int] : !
% 273.74/45.30 [v18: int] : ! [v19: int] : ! [v20: int] : ( ~ (times_times_int(v14, v16)
% 273.74/45.30 = v17) | ~ (times_times_int(v11, v7) = v12) | ~ (times_times_int(v3,
% 273.74/45.30 v10) = v11) | ~ (times_times_int(v3, v6) = v14) | ~
% 273.74/45.30 (power_power_int(v7) = v15) | ~ (power_power_int(v6) = v8) | ~
% 273.74/45.30 (hAPP_nat_int(v15, v5) = v16) | ~ (hAPP_nat_int(v15, v2) = v19) | ~
% 273.74/45.30 (hAPP_nat_int(v8, v5) = v10) | ~ (hAPP_nat_int(v8, v2) = v9) | ~
% 273.74/45.30 (plus_plus_int(v18, v19) = v20) | ~ (plus_plus_int(v13, v17) = v18) | ~
% 273.74/45.30 (plus_plus_int(v9, v12) = v13) | ~ int(v7) | ~ int(v6) | ? [v21: int] :
% 273.74/45.30 ? [v22: fun_nat_int] : (power_power_int(v21) = v22 & hAPP_nat_int(v22,
% 273.74/45.30 v2) = v20 & plus_plus_int(v6, v7) = v21 & fun_nat_int(v22) & int(v21)
% 273.74/45.30 & int(v20))))
% 273.74/45.30
% 273.74/45.30 (fact_409_zadd__power2)
% 273.74/45.30 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 273.74/45.30 (number_number_of_int(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.30 number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) & int(v0) & !
% 273.74/45.30 [v4: int] : ! [v5: int] : ! [v6: fun_nat_int] : ! [v7: int] : ! [v8:
% 273.74/45.30 int] : ! [v9: int] : ! [v10: int] : ! [v11: fun_nat_int] : ! [v12:
% 273.74/45.30 int] : ! [v13: int] : ( ~ (times_times_int(v8, v5) = v9) | ~
% 273.74/45.30 (times_times_int(v3, v4) = v8) | ~ (power_power_int(v5) = v11) | ~
% 273.74/45.30 (power_power_int(v4) = v6) | ~ (hAPP_nat_int(v11, v2) = v12) | ~
% 273.74/45.30 (hAPP_nat_int(v6, v2) = v7) | ~ (plus_plus_int(v10, v12) = v13) | ~
% 273.74/45.30 (plus_plus_int(v7, v9) = v10) | ~ int(v5) | ~ int(v4) | ? [v14: int] :
% 273.74/45.30 ? [v15: fun_nat_int] : (power_power_int(v14) = v15 & hAPP_nat_int(v15, v2)
% 273.74/45.30 = v13 & plus_plus_int(v4, v5) = v14 & fun_nat_int(v15) & int(v14) &
% 273.74/45.30 int(v13))))
% 273.74/45.30
% 273.74/45.30 (fact_40_int__1)
% 273.74/45.30 hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int &
% 273.74/45.30 fun_nat_int(semiri1621563631at_int) & nat(one_one_nat) & int(one_one_int)
% 273.74/45.30
% 273.74/45.30 (fact_412_le__iff__diff__le__0)
% 273.74/45.31 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ! [v0: int] : !
% 273.74/45.31 [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool] : ( ~
% 273.74/45.31 (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v2) | ~ (hAPP_int_bool(v2,
% 273.74/45.31 v1) = v3) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v3) | ? [v4: int] : ?
% 273.74/45.31 [v5: fun_int_bool] : ? [v6: bool] : (minus_minus_int(v0, v1) = v4 &
% 273.74/45.31 hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5 & hAPP_int_bool(v5,
% 273.74/45.31 zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) &
% 273.74/45.31 hBOOL(v6))) & ! [v0: int] : ! [v1: int] : ! [v2: fun_int_bool] : !
% 273.74/45.31 [v3: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v2) | ~
% 273.74/45.31 (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | hBOOL(v3) | ? [v4:
% 273.74/45.31 int] : ? [v5: fun_int_bool] : ? [v6: bool] : (minus_minus_int(v0, v1) =
% 273.74/45.31 v4 & hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5 & hAPP_int_bool(v5,
% 273.74/45.31 zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) & ~
% 273.74/45.31 hBOOL(v6)))
% 273.74/45.31
% 273.74/45.31 (fact_43_int__eq__0__conv)
% 273.74/45.31 fun_nat_int(semiri1621563631at_int) & nat(zero_zero_nat) & int(zero_zero_int)
% 273.74/45.31 & ! [v0: nat] : (v0 = zero_zero_nat | ~
% 273.74/45.31 (hAPP_nat_int(semiri1621563631at_int, v0) = zero_zero_int) | ~ nat(v0)) &
% 273.74/45.31 ! [v0: int] : (v0 = zero_zero_int | ~ (hAPP_nat_int(semiri1621563631at_int,
% 273.74/45.31 zero_zero_nat) = v0))
% 273.74/45.31
% 273.74/45.31 (fact_443_diff__eq__diff__less__eq)
% 273.74/45.31 fun_int_fun_int_bool(ord_less_eq_int) & ! [v0: int] : ! [v1: int] : ! [v2:
% 273.74/45.31 int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ! [v6:
% 273.74/45.31 fun_int_bool] : ! [v7: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.31 v2) = v6) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v4) | ~
% 273.74/45.31 (hAPP_int_bool(v6, v3) = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~ int(v3)
% 273.74/45.31 | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v7) | hBOOL(v5) | ? [v8:
% 273.74/45.31 int] : ? [v9: int] : ( ~ (v9 = v8) & minus_minus_int(v2, v3) = v9 &
% 273.74/45.31 minus_minus_int(v0, v1) = v8 & int(v9) & int(v8))) & ! [v0: int] : !
% 273.74/45.31 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5:
% 273.74/45.31 bool] : ! [v6: fun_int_bool] : ! [v7: bool] : ( ~
% 273.74/45.31 (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v6) | ~
% 273.74/45.31 (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v4) | ~ (hAPP_int_bool(v6,
% 273.74/45.31 v3) = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~ int(v3) | ~ int(v2) |
% 273.74/45.31 ~ int(v1) | ~ int(v0) | ~ hBOOL(v5) | hBOOL(v7) | ? [v8: int] : ? [v9:
% 273.74/45.31 int] : ( ~ (v9 = v8) & minus_minus_int(v2, v3) = v9 & minus_minus_int(v0,
% 273.74/45.31 v1) = v8 & int(v9) & int(v8)))
% 273.74/45.31
% 273.74/45.31 (fact_445_semiring__mult__number__of)
% 273.74/45.31 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & ? [v0: fun_int_bool] :
% 273.74/45.31 (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 & fun_int_bool(v0) & !
% 273.74/45.31 [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4: bool] : ( ~
% 273.74/45.31 (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~
% 273.74/45.31 int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: real] : ?
% 273.74/45.31 [v6: real] : ? [v7: real] : ? [v8: int] : (times_times_real(v5, v6) = v7
% 273.74/45.31 & times_times_int(v2, v1) = v8 & number267125858f_real(v8) = v7 &
% 273.74/45.31 number267125858f_real(v2) = v5 & number267125858f_real(v1) = v6 &
% 273.74/45.31 real(v7) & real(v6) & real(v5) & int(v8))))
% 273.74/45.31
% 273.74/45.31 (fact_446_semiring__mult__number__of)
% 273.74/45.31 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & ? [v0: fun_int_bool] :
% 273.74/45.31 (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 & fun_int_bool(v0) & !
% 273.74/45.31 [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4: bool] : ( ~
% 273.74/45.31 (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~
% 273.74/45.31 int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] : ?
% 273.74/45.31 [v6: nat] : ? [v7: nat] : ? [v8: int] : (times_times_nat(v5, v6) = v7 &
% 273.74/45.31 times_times_int(v2, v1) = v8 & number_number_of_nat(v8) = v7 &
% 273.74/45.31 number_number_of_nat(v2) = v5 & number_number_of_nat(v1) = v6 & nat(v7)
% 273.74/45.31 & nat(v6) & nat(v5) & int(v8))))
% 273.74/45.31
% 273.74/45.31 (fact_447_semiring__mult__number__of)
% 273.74/45.31 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & ? [v0: fun_int_bool] :
% 273.74/45.31 (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 & fun_int_bool(v0) & !
% 273.74/45.31 [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4: bool] : ( ~
% 273.74/45.31 (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~
% 273.74/45.31 int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] : ?
% 273.74/45.31 [v6: int] : ? [v7: int] : ? [v8: int] : (times_times_int(v5, v6) = v7 &
% 273.74/45.31 times_times_int(v2, v1) = v8 & number_number_of_int(v8) = v7 &
% 273.74/45.31 number_number_of_int(v2) = v5 & number_number_of_int(v1) = v6 & int(v8)
% 273.74/45.31 & int(v7) & int(v6) & int(v5))))
% 273.74/45.31
% 273.74/45.31 (fact_45_nat__1__add__1)
% 273.74/45.31 nat(one_one_nat) & int(pls) & ? [v0: nat] : ? [v1: int] : ? [v2: int] :
% 273.74/45.31 (plus_plus_nat(one_one_nat, one_one_nat) = v0 & bit1(pls) = v1 & bit0(v1) = v2
% 273.74/45.31 & number_number_of_nat(v2) = v0 & nat(v0) & int(v2) & int(v1))
% 273.74/45.31
% 273.74/45.31 (fact_462_eq__nat__nat__iff)
% 273.74/45.31 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.31 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.31 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.31 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.31 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] :
% 273.74/45.31 ? [v6: nat] : (( ~ (v2 = v1) | (v6 = v5 & nat_1(v1) = v5 & nat(v5))) & (v2
% 273.74/45.31 = v1 | ( ~ (v6 = v5) & nat_1(v2) = v5 & nat_1(v1) = v6 & nat(v6) &
% 273.74/45.31 nat(v5))))))
% 273.74/45.31
% 273.74/45.31 (fact_479_split__mult__neg__le)
% 273.74/45.32 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.32 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.32 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.32 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.32 | ~ int(v2) | ~ int(v1) | ? [v5: fun_int_bool] : ? [v6: bool] : ?
% 273.74/45.32 [v7: fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10: fun_int_bool]
% 273.74/45.32 : ? [v11: bool] : ((times_times_int(v2, v1) = v9 &
% 273.74/45.32 hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 & hAPP_int_bool(v10,
% 273.74/45.32 zero_zero_int) = v11 & fun_int_bool(v10) & int(v9) & bool(v11) &
% 273.74/45.32 hBOOL(v11)) | (( ~ hBOOL(v4) |
% 273.74/45.32 (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v7 &
% 273.74/45.32 hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 273.74/45.32 bool(v8) & ~ hBOOL(v8))) & ( ~ hBOOL(v3) |
% 273.74/45.32 (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v5 &
% 273.74/45.32 hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) &
% 273.74/45.32 bool(v6) & ~ hBOOL(v6)))))))
% 273.74/45.32
% 273.74/45.32 (fact_481_split__mult__pos__le)
% 273.74/45.32 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.32 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.32 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.32 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.32 | ~ int(v2) | ~ int(v1) | ? [v5: fun_int_bool] : ? [v6: bool] : ?
% 273.74/45.32 [v7: fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10: bool] :
% 273.74/45.32 ((times_times_int(v2, v1) = v9 & hAPP_int_bool(v0, v9) = v10 & int(v9) &
% 273.74/45.32 bool(v10) & hBOOL(v10)) | (( ~ hBOOL(v4) | ~ hBOOL(v3)) &
% 273.74/45.32 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v5 & hAPP_int_bool(v5,
% 273.74/45.32 zero_zero_int) = v6 & fun_int_bool(v5) & bool(v6) & ~
% 273.74/45.32 hBOOL(v6)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 273.74/45.32 hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 273.74/45.32 bool(v8) & ~ hBOOL(v8)))))))
% 273.74/45.32
% 273.74/45.32 (fact_484_mult__mono)
% 273.74/45.32 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.32 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.32 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.32 int] : ! [v5: int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool]
% 273.74/45.32 : ( ~ (times_times_int(v4, v2) = v7) | ~ (times_times_int(v3, v1) = v5) |
% 273.74/45.32 ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~
% 273.74/45.32 (hAPP_int_bool(v6, v7) = v8) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~
% 273.74/45.32 int(v1) | hBOOL(v8) | ? [v9: fun_int_bool] : ? [v10: bool] : ? [v11:
% 273.74/45.32 fun_int_bool] : ? [v12: bool] : ? [v13: bool] : ? [v14: bool] :
% 273.74/45.32 ((hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v9 & hAPP_int_bool(v9, v4)
% 273.74/45.32 = v10 & fun_int_bool(v9) & bool(v10) & ~ hBOOL(v10)) |
% 273.74/45.32 (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v11 & hAPP_int_bool(v11,
% 273.74/45.32 v2) = v12 & fun_int_bool(v11) & bool(v12) & ~ hBOOL(v12)) |
% 273.74/45.32 (hAPP_int_bool(v0, v4) = v13 & bool(v13) & ~ hBOOL(v13)) |
% 273.74/45.32 (hAPP_int_bool(v0, v1) = v14 & bool(v14) & ~ hBOOL(v14)))))
% 273.74/45.32
% 273.74/45.32 (fact_487_mult__mono_H)
% 273.74/45.32 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.32 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.32 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.32 int] : ! [v5: int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool]
% 273.74/45.32 : ( ~ (times_times_int(v4, v2) = v7) | ~ (times_times_int(v3, v1) = v5) |
% 273.74/45.32 ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~
% 273.74/45.32 (hAPP_int_bool(v6, v7) = v8) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~
% 273.74/45.32 int(v1) | hBOOL(v8) | ? [v9: fun_int_bool] : ? [v10: bool] : ? [v11:
% 273.74/45.32 fun_int_bool] : ? [v12: bool] : ? [v13: bool] : ? [v14: bool] :
% 273.74/45.32 ((hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v9 & hAPP_int_bool(v9, v4)
% 273.74/45.32 = v10 & fun_int_bool(v9) & bool(v10) & ~ hBOOL(v10)) |
% 273.74/45.32 (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v11 & hAPP_int_bool(v11,
% 273.74/45.32 v2) = v12 & fun_int_bool(v11) & bool(v12) & ~ hBOOL(v12)) |
% 273.74/45.32 (hAPP_int_bool(v0, v3) = v13 & bool(v13) & ~ hBOOL(v13)) |
% 273.74/45.32 (hAPP_int_bool(v0, v1) = v14 & bool(v14) & ~ hBOOL(v14)))))
% 273.74/45.32
% 273.74/45.32 (fact_48_rel__simps_I2_J)
% 273.74/45.32 fun_int_fun_int_bool(ord_less_int) & int(pls) & ? [v0: fun_int_bool] : ?
% 273.74/45.32 [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int, pls) = v0 &
% 273.74/45.32 hAPP_int_bool(v0, pls) = v1 & fun_int_bool(v0) & bool(v1) & ~ hBOOL(v1))
% 273.74/45.32
% 273.74/45.32 (fact_494_comm__mult__left__mono)
% 273.74/45.32 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.32 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.32 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.32 int] : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.32 (times_times_int(v1, v3) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.32 (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.32 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v7) | ? [v8:
% 273.74/45.32 fun_int_bool] : ? [v9: bool] : ? [v10: bool] :
% 273.74/45.32 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v8 & hAPP_int_bool(v8, v3)
% 273.74/45.32 = v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) |
% 273.74/45.32 (hAPP_int_bool(v0, v1) = v10 & bool(v10) & ~ hBOOL(v10)))))
% 273.74/45.32
% 273.74/45.32 (fact_497_mult__left__mono)
% 273.74/45.32 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.32 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.32 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.32 int] : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.32 (times_times_int(v1, v3) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.32 (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.32 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v7) | ? [v8:
% 273.74/45.32 fun_int_bool] : ? [v9: bool] : ? [v10: bool] :
% 273.74/45.32 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v8 & hAPP_int_bool(v8, v3)
% 273.74/45.32 = v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) |
% 273.74/45.32 (hAPP_int_bool(v0, v1) = v10 & bool(v10) & ~ hBOOL(v10)))))
% 273.74/45.32
% 273.74/45.32 (fact_4_one__power2)
% 273.74/45.32 int(pls) & int(one_one_int) & ? [v0: fun_nat_int] : ? [v1: int] : ? [v2:
% 273.74/45.32 int] : ? [v3: nat] : (bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.32 number_number_of_nat(v2) = v3 & power_power_int(one_one_int) = v0 &
% 273.74/45.32 hAPP_nat_int(v0, v3) = one_one_int & fun_nat_int(v0) & nat(v3) & int(v2) &
% 273.74/45.32 int(v1))
% 273.74/45.32
% 273.74/45.32 (fact_500_mult__right__mono)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.33 int] : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.33 (times_times_int(v3, v1) = v6) | ~ (times_times_int(v2, v1) = v4) | ~
% 273.74/45.33 (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.33 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v7) | ? [v8:
% 273.74/45.33 fun_int_bool] : ? [v9: bool] : ? [v10: bool] :
% 273.74/45.33 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v8 & hAPP_int_bool(v8, v3)
% 273.74/45.33 = v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) |
% 273.74/45.33 (hAPP_int_bool(v0, v1) = v10 & bool(v10) & ~ hBOOL(v10)))))
% 273.74/45.33
% 273.74/45.33 (fact_502_mult__nonpos__nonpos)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] :
% 273.74/45.33 ! [v4: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 273.74/45.33 v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4) | ~ int(v2)
% 273.74/45.33 | ~ int(v1) | ? [v5: bool] : ? [v6: bool] : ? [v7: int] : ? [v8:
% 273.74/45.33 bool] : ((times_times_int(v2, v1) = v7 & hAPP_int_bool(v0, v7) = v8 &
% 273.74/45.33 int(v7) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v4, zero_zero_int) =
% 273.74/45.33 v6 & bool(v6) & ~ hBOOL(v6)) | (hAPP_int_bool(v3, zero_zero_int) = v5
% 273.74/45.33 & bool(v5) & ~ hBOOL(v5)))))
% 273.74/45.33
% 273.74/45.33 (fact_505_mult__nonpos__nonneg)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] :
% 273.74/45.33 ! [v4: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v3) | ~
% 273.74/45.33 (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ?
% 273.74/45.33 [v5: bool] : ? [v6: int] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 273.74/45.33 ((times_times_int(v2, v1) = v6 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.33 v6) = v7 & hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7)
% 273.74/45.33 & int(v6) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v3, zero_zero_int)
% 273.74/45.33 = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.74/45.33
% 273.74/45.33 (fact_508_mult__nonneg__nonpos2)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.33 fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4) |
% 273.74/45.33 ~ (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v3) |
% 273.74/45.33 ? [v5: bool] : ? [v6: int] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 273.74/45.33 ((times_times_int(v1, v2) = v6 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.33 v6) = v7 & hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7)
% 273.74/45.33 & int(v6) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v4, zero_zero_int)
% 273.74/45.33 = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.74/45.33
% 273.74/45.33 (fact_511_mult__nonneg__nonpos)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.33 fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4) |
% 273.74/45.33 ~ (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v3) |
% 273.74/45.33 ? [v5: bool] : ? [v6: int] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 273.74/45.33 ((times_times_int(v2, v1) = v6 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.33 v6) = v7 & hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7)
% 273.74/45.33 & int(v6) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v4, zero_zero_int)
% 273.74/45.33 = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.74/45.33
% 273.74/45.33 (fact_512_transfer__nat__int__relations_I1_J)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.33 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.33 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] :
% 273.74/45.33 ? [v6: nat] : (( ~ (v2 = v1) | (v6 = v5 & nat_1(v1) = v5 & nat(v5))) & (v2
% 273.74/45.33 = v1 | ( ~ (v6 = v5) & nat_1(v2) = v5 & nat_1(v1) = v6 & nat(v6) &
% 273.74/45.33 nat(v5))))))
% 273.74/45.33
% 273.74/45.33 (fact_513_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.33 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.33 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] :
% 273.74/45.33 ? [v6: bool] : (times_times_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) = v6
% 273.74/45.33 & int(v5) & bool(v6) & hBOOL(v6))))
% 273.74/45.33
% 273.74/45.33 (fact_516_mult__nonneg__nonneg)
% 273.74/45.33 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.33 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.33 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.33 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.33 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] :
% 273.74/45.33 ? [v6: bool] : (times_times_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) = v6
% 273.74/45.33 & int(v5) & bool(v6) & hBOOL(v6))))
% 273.74/45.33
% 273.74/45.33 (fact_528_mult__le__0__iff)
% 273.74/45.34 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.34 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.34 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.34 bool] : ( ~ (hAPP_int_bool(v0, v2) = v4) | ~ (hAPP_int_bool(v0, v1) = v3)
% 273.74/45.34 | ~ int(v2) | ~ int(v1) | ? [v5: fun_int_bool] : ? [v6: bool] : ?
% 273.74/45.34 [v7: fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10: fun_int_bool]
% 273.74/45.34 : ? [v11: bool] : ((times_times_int(v1, v2) = v9 &
% 273.74/45.34 hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 & hAPP_int_bool(v10,
% 273.74/45.34 zero_zero_int) = v11 & fun_int_bool(v10) & int(v9) & bool(v11) &
% 273.74/45.34 hBOOL(v11)) | (( ~ hBOOL(v4) |
% 273.74/45.34 (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 273.74/45.34 hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 273.74/45.34 bool(v8) & ~ hBOOL(v8))) & ( ~ hBOOL(v3) |
% 273.74/45.34 (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v5 &
% 273.74/45.34 hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) &
% 273.74/45.34 bool(v6) & ~ hBOOL(v6)))))) & ! [v1: int] : ! [v2: int] : !
% 273.74/45.34 [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2) = v4) | ~
% 273.74/45.34 (hAPP_int_bool(v0, v1) = v3) | ~ int(v2) | ~ int(v1) | ? [v5: int] : ?
% 273.74/45.34 [v6: fun_int_bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool]
% 273.74/45.34 : ? [v10: fun_int_bool] : ? [v11: bool] : ((times_times_int(v1, v2) = v5
% 273.74/45.34 & hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6 & hAPP_int_bool(v6,
% 273.74/45.34 zero_zero_int) = v7 & fun_int_bool(v6) & int(v5) & bool(v7) & ~
% 273.74/45.34 hBOOL(v7)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v8 &
% 273.74/45.34 hAPP_int_bool(v8, zero_zero_int) = v9 & fun_int_bool(v8) & bool(v9) &
% 273.74/45.34 hBOOL(v9) & hBOOL(v3)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1)
% 273.74/45.34 = v10 & hAPP_int_bool(v10, zero_zero_int) = v11 & fun_int_bool(v10) &
% 273.74/45.34 bool(v11) & hBOOL(v11) & hBOOL(v4)))))
% 273.74/45.34
% 273.74/45.34 (fact_530_zero__le__mult__iff)
% 273.74/45.34 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.34 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.34 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.34 bool] : ( ~ (hAPP_int_bool(v0, v2) = v4) | ~ (hAPP_int_bool(v0, v1) = v3)
% 273.74/45.34 | ~ int(v2) | ~ int(v1) | hBOOL(v4) | ? [v5: int] : ? [v6: bool] : ?
% 273.74/45.34 [v7: fun_int_bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10:
% 273.74/45.34 bool] : ((times_times_int(v1, v2) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.34 int(v5) & bool(v6) & ~ hBOOL(v6)) |
% 273.74/45.34 (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 &
% 273.74/45.34 hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 & hAPP_int_bool(v9,
% 273.74/45.34 zero_zero_int) = v10 & hAPP_int_bool(v7, zero_zero_int) = v8 &
% 273.74/45.34 fun_int_bool(v9) & fun_int_bool(v7) & bool(v10) & bool(v8) &
% 273.74/45.34 hBOOL(v10) & hBOOL(v8)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 273.74/45.34 bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2) = v4) | ~
% 273.74/45.34 (hAPP_int_bool(v0, v1) = v3) | ~ int(v2) | ~ int(v1) | hBOOL(v3) | ?
% 273.74/45.34 [v5: int] : ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool] : ?
% 273.74/45.34 [v9: fun_int_bool] : ? [v10: bool] : ((times_times_int(v1, v2) = v5 &
% 273.74/45.34 hAPP_int_bool(v0, v5) = v6 & int(v5) & bool(v6) & ~ hBOOL(v6)) |
% 273.74/45.34 (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 &
% 273.74/45.34 hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 & hAPP_int_bool(v9,
% 273.74/45.34 zero_zero_int) = v10 & hAPP_int_bool(v7, zero_zero_int) = v8 &
% 273.74/45.34 fun_int_bool(v9) & fun_int_bool(v7) & bool(v10) & bool(v8) &
% 273.74/45.34 hBOOL(v10) & hBOOL(v8)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 273.74/45.34 bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2) = v4) | ~
% 273.74/45.34 (hAPP_int_bool(v0, v1) = v3) | ~ int(v2) | ~ int(v1) | ? [v5:
% 273.74/45.34 fun_int_bool] : ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 273.74/45.34 ? [v9: int] : ? [v10: bool] : ((times_times_int(v1, v2) = v9 &
% 273.74/45.34 hAPP_int_bool(v0, v9) = v10 & int(v9) & bool(v10) & hBOOL(v10)) | (( ~
% 273.74/45.34 hBOOL(v4) | ~ hBOOL(v3)) &
% 273.74/45.34 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v7 & hAPP_int_bool(v7,
% 273.74/45.34 zero_zero_int) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 273.74/45.34 hBOOL(v8)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v5 &
% 273.74/45.34 hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) &
% 273.74/45.34 bool(v6) & ~ hBOOL(v6)))))))
% 273.74/45.34
% 273.74/45.34 (fact_531_all__nat)
% 273.74/45.34 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.34 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.34 & fun_int_bool(v0) & ! [v1: fun_nat_bool] : ! [v2: nat] : ! [v3: bool] :
% 273.74/45.34 ( ~ (hAPP_nat_bool(v1, v2) = v3) | ~ fun_nat_bool(v1) | ~ nat(v2) |
% 273.74/45.34 hBOOL(v3) | ? [v4: int] : ? [v5: bool] : ? [v6: nat] : ? [v7: bool] :
% 273.74/45.34 (nat_1(v4) = v6 & hAPP_nat_bool(v1, v6) = v7 & hAPP_int_bool(v0, v4) = v5
% 273.74/45.34 & nat(v6) & int(v4) & bool(v7) & bool(v5) & hBOOL(v5) & ~ hBOOL(v7))) &
% 273.74/45.34 ? [v1: fun_nat_bool] : ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.34 (hAPP_int_bool(v0, v2) = v3) | ~ fun_nat_bool(v1) | ~ int(v2) | ~
% 273.74/45.34 hBOOL(v3) | ? [v4: nat] : ? [v5: bool] : ? [v6: nat] : ? [v7: bool] :
% 273.74/45.34 (nat(v6) & ((nat_1(v2) = v4 & hAPP_nat_bool(v1, v4) = v5 & nat(v4) &
% 273.74/45.34 bool(v5) & hBOOL(v5)) | (hAPP_nat_bool(v1, v6) = v7 & bool(v7) & ~
% 273.74/45.34 hBOOL(v7))))))
% 273.74/45.34
% 273.74/45.34 (fact_532_ex__nat)
% 273.74/45.34 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.34 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.34 & fun_int_bool(v0) & ! [v1: fun_nat_bool] : ! [v2: nat] : ! [v3: bool] :
% 273.74/45.34 ( ~ (hAPP_nat_bool(v1, v2) = v3) | ~ fun_nat_bool(v1) | ~ nat(v2) | ~
% 273.74/45.34 hBOOL(v3) | ? [v4: int] : ? [v5: bool] : ? [v6: nat] : ? [v7: bool] :
% 273.74/45.34 (nat_1(v4) = v6 & hAPP_nat_bool(v1, v6) = v7 & hAPP_int_bool(v0, v4) = v5
% 273.74/45.34 & nat(v6) & int(v4) & bool(v7) & bool(v5) & hBOOL(v7) & hBOOL(v5))) & ?
% 273.74/45.34 [v1: fun_nat_bool] : ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v0,
% 273.74/45.34 v2) = v3) | ~ fun_nat_bool(v1) | ~ int(v2) | ~ hBOOL(v3) | ? [v4:
% 273.74/45.34 nat] : ? [v5: bool] : ? [v6: nat] : ? [v7: bool] : (nat(v4) &
% 273.74/45.34 ((nat_1(v2) = v6 & hAPP_nat_bool(v1, v6) = v7 & nat(v6) & bool(v7) & ~
% 273.74/45.34 hBOOL(v7)) | (hAPP_nat_bool(v1, v4) = v5 & bool(v5) & hBOOL(v5))))))
% 273.74/45.34
% 273.74/45.34 (fact_534_zero__le__square)
% 273.74/45.34 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.34 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.34 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ( ~ (times_times_int(v1,
% 273.74/45.34 v1) = v2) | ~ int(v1) | ? [v3: bool] : (hAPP_int_bool(v0, v2) = v3 &
% 273.74/45.34 bool(v3) & hBOOL(v3))))
% 273.74/45.34
% 273.74/45.34 (fact_53_one__is__num__one)
% 273.74/45.34 int(pls) & int(one_one_int) & ? [v0: int] : (number_number_of_int(v0) =
% 273.74/45.34 one_one_int & bit1(pls) = v0 & int(v0))
% 273.74/45.34
% 273.74/45.34 (fact_543_mult__left__le__imp__le)
% 273.74/45.35 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.35 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.35 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.35 fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v1,
% 273.74/45.35 v3) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.35 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v7) | ?
% 273.74/45.35 [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.35 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 & hAPP_int_bool(v9, v3)
% 273.74/45.35 = v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10)) |
% 273.74/45.35 (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.35
% 273.74/45.35 (fact_546_mult__right__le__imp__le)
% 273.74/45.35 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.35 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.35 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.35 fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3,
% 273.74/45.35 v2) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.35 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v7) | ?
% 273.74/45.35 [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.35 ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v9 & hAPP_int_bool(v9, v3)
% 273.74/45.35 = v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10)) |
% 273.74/45.35 (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.35
% 273.74/45.35 (fact_549_mult__less__imp__less__left)
% 273.74/45.35 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.35 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.35 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.35 : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.35 (times_times_int(v1, v3) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.35 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v7) | ?
% 273.74/45.35 [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.35 ((hAPP_i1948725293t_bool(ord_less_int, v2) = v9 & hAPP_int_bool(v9, v3) =
% 273.74/45.35 v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10)) | (hAPP_int_bool(v0,
% 273.74/45.35 v1) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.35
% 273.74/45.35 (fact_54_nat__numeral__1__eq__1)
% 273.74/45.35 nat(one_one_nat) & int(pls) & ? [v0: int] : (bit1(pls) = v0 &
% 273.74/45.35 number_number_of_nat(v0) = one_one_nat & int(v0))
% 273.74/45.35
% 273.74/45.35 (fact_552_mult__left__less__imp__less)
% 273.74/45.35 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.35 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.35 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.35 : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.35 (times_times_int(v1, v3) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.35 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v7) | ?
% 273.74/45.35 [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.35 ((hAPP_i1948725293t_bool(ord_less_int, v2) = v9 & hAPP_int_bool(v9, v3) =
% 273.74/45.35 v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10)) | (hAPP_int_bool(v0,
% 273.74/45.35 v1) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.35
% 273.74/45.35 (fact_555_mult__less__imp__less__right)
% 273.74/45.35 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.35 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.35 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.35 : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.35 (times_times_int(v3, v2) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.35 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v7) | ?
% 273.74/45.35 [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.35 ((hAPP_i1948725293t_bool(ord_less_int, v1) = v9 & hAPP_int_bool(v9, v3) =
% 273.74/45.35 v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10)) | (hAPP_int_bool(v0,
% 273.74/45.35 v2) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.35
% 273.74/45.35 (fact_558_mult__right__less__imp__less)
% 273.74/45.35 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.35 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.35 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.35 : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.35 (times_times_int(v3, v2) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.35 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v7) | ?
% 273.74/45.35 [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.35 ((hAPP_i1948725293t_bool(ord_less_int, v1) = v9 & hAPP_int_bool(v9, v3) =
% 273.74/45.35 v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10)) | (hAPP_int_bool(v0,
% 273.74/45.35 v2) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.35
% 273.74/45.35 (fact_55_Numeral1__eq1__nat)
% 273.74/45.35 nat(one_one_nat) & int(pls) & ? [v0: int] : (bit1(pls) = v0 &
% 273.74/45.35 number_number_of_nat(v0) = one_one_nat & int(v0))
% 273.74/45.35
% 273.74/45.35 (fact_561_mult__le__less__imp__less)
% 273.74/45.35 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.35 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 273.74/45.35 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 273.74/45.35 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.35 int] : ! [v6: int] : ! [v7: fun_int_bool] : ! [v8: int] : ! [v9: bool]
% 273.74/45.35 : ( ~ (times_times_int(v5, v3) = v8) | ~ (times_times_int(v4, v2) = v6) |
% 273.74/45.35 ~ (hAPP_i1948725293t_bool(ord_less_int, v6) = v7) | ~ (hAPP_int_bool(v7,
% 273.74/45.35 v8) = v9) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) |
% 273.74/45.35 hBOOL(v9) | ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 273.74/45.35 fun_int_bool] : ? [v13: bool] : ? [v14: bool] : ? [v15: bool] :
% 273.74/45.35 ((hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v10 & hAPP_int_bool(v10,
% 273.74/45.35 v5) = v11 & fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11)) |
% 273.74/45.35 (hAPP_i1948725293t_bool(ord_less_int, v2) = v12 & hAPP_int_bool(v12, v3)
% 273.74/45.35 = v13 & fun_int_bool(v12) & bool(v13) & ~ hBOOL(v13)) |
% 273.74/45.35 (hAPP_int_bool(v1, v2) = v15 & bool(v15) & ~ hBOOL(v15)) |
% 273.74/45.35 (hAPP_int_bool(v0, v4) = v14 & bool(v14) & ~ hBOOL(v14)))))
% 273.74/45.35
% 273.74/45.35 (fact_564_mult__less__le__imp__less)
% 273.74/45.36 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.36 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.36 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 273.74/45.36 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.36 int] : ! [v6: int] : ! [v7: fun_int_bool] : ! [v8: int] : ! [v9: bool]
% 273.74/45.36 : ( ~ (times_times_int(v5, v3) = v8) | ~ (times_times_int(v4, v2) = v6) |
% 273.74/45.36 ~ (hAPP_i1948725293t_bool(ord_less_int, v6) = v7) | ~ (hAPP_int_bool(v7,
% 273.74/45.36 v8) = v9) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) |
% 273.74/45.36 hBOOL(v9) | ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 273.74/45.36 fun_int_bool] : ? [v13: bool] : ? [v14: bool] : ? [v15: bool] :
% 273.74/45.36 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v12 & hAPP_int_bool(v12,
% 273.74/45.36 v3) = v13 & fun_int_bool(v12) & bool(v13) & ~ hBOOL(v13)) |
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_int, v4) = v10 & hAPP_int_bool(v10, v5)
% 273.74/45.36 = v11 & fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11)) |
% 273.74/45.36 (hAPP_int_bool(v1, v2) = v15 & bool(v15) & ~ hBOOL(v15)) |
% 273.74/45.36 (hAPP_int_bool(v0, v4) = v14 & bool(v14) & ~ hBOOL(v14)))))
% 273.74/45.36
% 273.74/45.36 (fact_567_mult__strict__mono_H)
% 273.74/45.36 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.36 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.36 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.36 : ! [v5: int] : ! [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 273.74/45.36 (times_times_int(v4, v2) = v7) | ~ (times_times_int(v3, v1) = v5) | ~
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~ (hAPP_int_bool(v6,
% 273.74/45.36 v7) = v8) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ int(v1) |
% 273.74/45.36 hBOOL(v8) | ? [v9: fun_int_bool] : ? [v10: bool] : ? [v11:
% 273.74/45.36 fun_int_bool] : ? [v12: bool] : ? [v13: bool] : ? [v14: bool] :
% 273.74/45.36 ((hAPP_i1948725293t_bool(ord_less_int, v3) = v9 & hAPP_int_bool(v9, v4) =
% 273.74/45.36 v10 & fun_int_bool(v9) & bool(v10) & ~ hBOOL(v10)) |
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_int, v1) = v11 & hAPP_int_bool(v11, v2)
% 273.74/45.36 = v12 & fun_int_bool(v11) & bool(v12) & ~ hBOOL(v12)) |
% 273.74/45.36 (hAPP_int_bool(v0, v3) = v13 & bool(v13) & ~ hBOOL(v13)) |
% 273.74/45.36 (hAPP_int_bool(v0, v1) = v14 & bool(v14) & ~ hBOOL(v14)))))
% 273.74/45.36
% 273.74/45.36 (fact_570_mult__strict__mono)
% 273.74/45.36 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.36 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 273.74/45.36 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 273.74/45.36 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.36 int] : ! [v6: int] : ! [v7: fun_int_bool] : ! [v8: int] : ! [v9: bool]
% 273.74/45.36 : ( ~ (times_times_int(v5, v3) = v8) | ~ (times_times_int(v4, v2) = v6) |
% 273.74/45.36 ~ (hAPP_i1948725293t_bool(ord_less_int, v6) = v7) | ~ (hAPP_int_bool(v7,
% 273.74/45.36 v8) = v9) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) |
% 273.74/45.36 hBOOL(v9) | ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 273.74/45.36 fun_int_bool] : ? [v13: bool] : ? [v14: bool] : ? [v15: bool] :
% 273.74/45.36 ((hAPP_i1948725293t_bool(ord_less_int, v4) = v10 & hAPP_int_bool(v10, v5)
% 273.74/45.36 = v11 & fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11)) |
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_int, v2) = v12 & hAPP_int_bool(v12, v3)
% 273.74/45.36 = v13 & fun_int_bool(v12) & bool(v13) & ~ hBOOL(v13)) |
% 273.74/45.36 (hAPP_int_bool(v1, v2) = v15 & bool(v15) & ~ hBOOL(v15)) |
% 273.74/45.36 (hAPP_int_bool(v0, v5) = v14 & bool(v14) & ~ hBOOL(v14)))))
% 273.74/45.36
% 273.74/45.36 (fact_574_mult__le__cancel__left__pos)
% 273.74/45.36 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.36 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.36 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.36 fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3,
% 273.74/45.36 v2) = v6) | ~ (times_times_int(v3, v1) = v4) | ~
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.36 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ? [v8: bool] : ?
% 273.74/45.36 [v9: fun_int_bool] : ? [v10: bool] : ((hAPP_int_bool(v0, v3) = v8 &
% 273.74/45.36 bool(v8) & ~ hBOOL(v8)) | (( ~ hBOOL(v7) |
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v9 &
% 273.74/45.36 hAPP_int_bool(v9, v2) = v10 & fun_int_bool(v9) & bool(v10) &
% 273.74/45.36 hBOOL(v10))) & (hBOOL(v7) |
% 273.74/45.36 (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v9 &
% 273.74/45.36 hAPP_int_bool(v9, v2) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 273.74/45.36 hBOOL(v10)))))))
% 273.74/45.36
% 273.74/45.36 (fact_576_sum__squares__ge__zero)
% 273.74/45.36 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.36 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.36 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.36 int] : ! [v5: int] : ( ~ (times_times_int(v2, v2) = v4) | ~
% 273.74/45.36 (times_times_int(v1, v1) = v3) | ~ (plus_plus_int(v3, v4) = v5) | ~
% 273.74/45.36 int(v2) | ~ int(v1) | ? [v6: bool] : (hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.36 bool(v6) & hBOOL(v6))))
% 273.74/45.36
% 273.74/45.36 (fact_580_mult__right__le__one__le)
% 273.74/45.36 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & int(one_one_int)
% 273.74/45.36 & ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.36 zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : !
% 273.74/45.36 [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ( ~ (times_times_int(v2,
% 273.74/45.36 v1) = v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 273.74/45.36 (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) | hBOOL(v5) | ?
% 273.74/45.36 [v6: bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 273.74/45.36 ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 & hAPP_int_bool(v8,
% 273.74/45.36 one_one_int) = v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) |
% 273.74/45.36 (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 273.74/45.36 (hAPP_int_bool(v0, v1) = v7 & bool(v7) & ~ hBOOL(v7)))))
% 273.74/45.36
% 273.74/45.36 (fact_582_mult__left__le__one__le)
% 273.74/45.37 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & int(one_one_int)
% 273.74/45.37 & ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.37 zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : !
% 273.74/45.37 [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ( ~ (times_times_int(v1,
% 273.74/45.37 v2) = v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 273.74/45.37 (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) | hBOOL(v5) | ?
% 273.74/45.37 [v6: bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 273.74/45.37 ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 & hAPP_int_bool(v8,
% 273.74/45.37 one_one_int) = v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) |
% 273.74/45.37 (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 273.74/45.37 (hAPP_int_bool(v0, v1) = v7 & bool(v7) & ~ hBOOL(v7)))))
% 273.74/45.37
% 273.74/45.37 (fact_588_int__nat__eq)
% 273.74/45.37 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.37 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.37 fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1)
% 273.74/45.37 = v2) | ~ int(v1) | ~ hBOOL(v2) | ? [v3: nat] : (nat_1(v1) = v3 &
% 273.74/45.37 hAPP_nat_int(semiri1621563631at_int, v3) = v1 & nat(v3))) & ! [v1: int]
% 273.74/45.37 : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | hBOOL(v2)
% 273.74/45.37 | ? [v3: nat] : (nat_1(v1) = v3 & hAPP_nat_int(semiri1621563631at_int,
% 273.74/45.37 v3) = zero_zero_int & nat(v3))))
% 273.74/45.37
% 273.74/45.37 (fact_589_int__eq__iff)
% 273.74/45.37 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.37 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.37 fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.37 int] : (v4 = v2 | ~ (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~
% 273.74/45.37 (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) | ~ hBOOL(v3) | ?
% 273.74/45.37 [v5: nat] : ( ~ (v5 = v1) & nat_1(v2) = v5 & nat(v5))) & ! [v1: nat] : !
% 273.74/45.37 [v2: int] : ! [v3: bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int, v1) =
% 273.74/45.37 v2) | ~ (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) |
% 273.74/45.37 nat_1(v2) = v1) & ! [v1: nat] : ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.37 (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~ (hAPP_int_bool(v0,
% 273.74/45.37 v2) = v3) | ~ nat(v1) | ~ int(v2) | hBOOL(v3)))
% 273.74/45.37
% 273.74/45.37 (fact_590_nat__0__le)
% 273.74/45.37 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.37 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.37 fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1)
% 273.74/45.37 = v2) | ~ int(v1) | ~ hBOOL(v2) | ? [v3: nat] : (nat_1(v1) = v3 &
% 273.74/45.37 hAPP_nat_int(semiri1621563631at_int, v3) = v1 & nat(v3))))
% 273.74/45.37
% 273.74/45.37 (fact_599_diff__eq__diff__less)
% 273.74/45.37 fun_int_fun_int_bool(ord_less_int) & ! [v0: int] : ! [v1: int] : ! [v2:
% 273.74/45.37 int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ! [v6:
% 273.74/45.37 fun_int_bool] : ! [v7: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.37 v2) = v6) | ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v4) | ~
% 273.74/45.37 (hAPP_int_bool(v6, v3) = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~ int(v3)
% 273.74/45.37 | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v7) | hBOOL(v5) | ? [v8:
% 273.74/45.37 int] : ? [v9: int] : ( ~ (v9 = v8) & minus_minus_int(v2, v3) = v9 &
% 273.74/45.37 minus_minus_int(v0, v1) = v8 & int(v9) & int(v8))) & ! [v0: int] : !
% 273.74/45.37 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5:
% 273.74/45.37 bool] : ! [v6: fun_int_bool] : ! [v7: bool] : ( ~
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_int, v2) = v6) | ~
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_int, v0) = v4) | ~ (hAPP_int_bool(v6, v3)
% 273.74/45.37 = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~ int(v3) | ~ int(v2) | ~
% 273.74/45.37 int(v1) | ~ int(v0) | ~ hBOOL(v5) | hBOOL(v7) | ? [v8: int] : ? [v9:
% 273.74/45.37 int] : ( ~ (v9 = v8) & minus_minus_int(v2, v3) = v9 & minus_minus_int(v0,
% 273.74/45.37 v1) = v8 & int(v9) & int(v8)))
% 273.74/45.37
% 273.74/45.37 (fact_5_one__power2)
% 273.74/45.37 nat(one_one_nat) & int(pls) & ? [v0: fun_nat_nat] : ? [v1: int] : ? [v2:
% 273.74/45.37 int] : ? [v3: nat] : (power_power_nat(one_one_nat) = v0 & hAPP_nat_nat(v0,
% 273.74/45.37 v3) = one_one_nat & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.37 number_number_of_nat(v2) = v3 & fun_nat_nat(v0) & nat(v3) & int(v2) &
% 273.74/45.37 int(v1))
% 273.74/45.37
% 273.74/45.37 (fact_67_zadd__commute)
% 273.74/45.37 ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ (plus_plus_int(v0, v1) = v2)
% 273.74/45.37 | ~ int(v1) | ~ int(v0) | (plus_plus_int(v1, v0) = v2 & int(v2)))
% 273.74/45.37
% 273.74/45.37 (fact_6_one__power2)
% 273.74/45.37 real(one_one_real) & int(pls) & ? [v0: fun_nat_real] : ? [v1: int] : ? [v2:
% 273.74/45.37 int] : ? [v3: nat] : (power_power_real(one_one_real) = v0 &
% 273.74/45.37 hAPP_nat_real(v0, v3) = one_one_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.37 number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2) &
% 273.74/45.37 int(v1))
% 273.74/45.37
% 273.74/45.37 (fact_712_rel__simps_I19_J)
% 273.74/45.37 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & ? [v0: fun_int_bool] : ?
% 273.74/45.37 [v1: bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 &
% 273.74/45.37 hAPP_int_bool(v0, pls) = v1 & fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 273.74/45.37
% 273.74/45.37 (fact_715_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 273.74/45.37 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.37 fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.37 zero_zero_int) = v0 & hAPP_int_bool(v0, zero_zero_int) = v1 &
% 273.74/45.37 fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 273.74/45.37
% 273.74/45.37 (fact_71_less__special_I1_J)
% 273.74/45.37 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) & ? [v0:
% 273.74/45.37 fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_int, pls) = v1 &
% 273.74/45.37 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 273.74/45.37 & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1,
% 273.74/45.37 v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.74/45.37 (number_number_of_int(v2) = v4 & hAPP_int_bool(v0, v4) = v5 & int(v4) &
% 273.74/45.37 bool(v5) & hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.37 (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: int] : ?
% 273.74/45.37 [v5: bool] : (number_number_of_int(v2) = v4 & hAPP_int_bool(v0, v4) = v5 &
% 273.74/45.37 int(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.37
% 273.74/45.37 (fact_725_convex__bound__le)
% 273.74/45.37 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & int(one_one_int)
% 273.74/45.37 & ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.37 zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : !
% 273.74/45.37 [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : !
% 273.74/45.37 [v8: int] : ! [v9: fun_int_bool] : ! [v10: bool] : ( ~
% 273.74/45.37 (times_times_int(v2, v4) = v6) | ~ (times_times_int(v1, v3) = v7) | ~
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_eq_int, v8) = v9) | ~ (plus_plus_int(v6,
% 273.74/45.37 v7) = v8) | ~ (hAPP_int_bool(v9, v5) = v10) | ~ int(v5) | ~ int(v4)
% 273.74/45.37 | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v10) | ? [v11:
% 273.74/45.37 fun_int_bool] : ? [v12: bool] : ? [v13: fun_int_bool] : ? [v14: bool]
% 273.74/45.37 : ? [v15: bool] : ? [v16: bool] : ? [v17: int] : (( ~ (v17 =
% 273.74/45.37 one_one_int) & plus_plus_int(v2, v1) = v17 & int(v17)) |
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v11 & hAPP_int_bool(v11,
% 273.74/45.37 v5) = v12 & fun_int_bool(v11) & bool(v12) & ~ hBOOL(v12)) |
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v13 & hAPP_int_bool(v13,
% 273.74/45.37 v5) = v14 & fun_int_bool(v13) & bool(v14) & ~ hBOOL(v14)) |
% 273.74/45.37 (hAPP_int_bool(v0, v2) = v15 & bool(v15) & ~ hBOOL(v15)) |
% 273.74/45.37 (hAPP_int_bool(v0, v1) = v16 & bool(v16) & ~ hBOOL(v16)))))
% 273.74/45.37
% 273.74/45.37 (fact_726_transfer__nat__int__relations_I2_J)
% 273.74/45.37 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.37 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.37 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.37 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.74/45.37 fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~ (nat_1(v2) = v3) | ~
% 273.74/45.37 (nat_1(v1) = v5) | ~ (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 273.74/45.37 (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7: bool] :
% 273.74/45.37 ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.37 ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 273.74/45.37 (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~ hBOOL(v8)) | (( ~ hBOOL(v6)
% 273.74/45.37 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v9 & hAPP_int_bool(v9,
% 273.74/45.37 v1) = v10 & fun_int_bool(v9) & bool(v10) & hBOOL(v10))) &
% 273.74/45.37 (hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_int, v2) = v9 &
% 273.74/45.37 hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 273.74/45.37 hBOOL(v10)))))))
% 273.74/45.37
% 273.74/45.37 (fact_727_nat__less__eq__zless)
% 273.74/45.37 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.37 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.37 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.37 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.74/45.37 fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~ (nat_1(v2) = v3) | ~
% 273.74/45.37 (nat_1(v1) = v5) | ~ (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 273.74/45.37 (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7: bool] :
% 273.74/45.37 ? [v8: fun_int_bool] : ? [v9: bool] : ((hAPP_int_bool(v0, v2) = v7 &
% 273.74/45.37 bool(v7) & ~ hBOOL(v7)) | (( ~ hBOOL(v6) |
% 273.74/45.37 (hAPP_i1948725293t_bool(ord_less_int, v2) = v8 & hAPP_int_bool(v8,
% 273.74/45.37 v1) = v9 & fun_int_bool(v8) & bool(v9) & hBOOL(v9))) &
% 273.74/45.37 (hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_int, v2) = v8 &
% 273.74/45.37 hAPP_int_bool(v8, v1) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 273.74/45.37 hBOOL(v9)))))))
% 273.74/45.37
% 273.74/45.37 (fact_728_le__special_I1_J)
% 273.74/45.38 fun_re413263731l_bool(ord_less_eq_real) &
% 273.74/45.38 fun_int_fun_int_bool(ord_less_eq_int) & real(zero_zero_real) & int(pls) & ?
% 273.74/45.38 [v0: fun_real_bool] : ? [v1: fun_int_bool] :
% 273.74/45.38 (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 &
% 273.74/45.38 hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 & fun_real_bool(v0) &
% 273.74/45.38 fun_int_bool(v1) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.74/45.38 = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: real] : ? [v5: bool] :
% 273.74/45.38 (hAPP_real_bool(v0, v4) = v5 & number267125858f_real(v2) = v4 & real(v4) &
% 273.74/45.38 bool(v5) & hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.38 (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: real] : ?
% 273.74/45.38 [v5: bool] : (hAPP_real_bool(v0, v4) = v5 & number267125858f_real(v2) = v4
% 273.74/45.38 & real(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.38
% 273.74/45.38 (fact_729_le__special_I1_J)
% 273.74/45.38 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) & ?
% 273.74/45.38 [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 &
% 273.74/45.38 hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.38 fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.38 (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: int] :
% 273.74/45.38 ? [v5: bool] : (number_number_of_int(v2) = v4 & hAPP_int_bool(v0, v4) = v5
% 273.74/45.38 & int(v4) & bool(v5) & hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.38 (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: int] : ?
% 273.74/45.38 [v5: bool] : (number_number_of_int(v2) = v4 & hAPP_int_bool(v0, v4) = v5 &
% 273.74/45.38 int(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.38
% 273.74/45.38 (fact_72_less__special_I1_J)
% 273.74/45.38 fun_re413263731l_bool(ord_less_real) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.38 real(zero_zero_real) & int(pls) & ? [v0: fun_real_bool] : ? [v1:
% 273.74/45.38 fun_int_bool] : (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0
% 273.74/45.38 & hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_real_bool(v0) &
% 273.74/45.38 fun_int_bool(v1) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.74/45.38 = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: real] : ? [v5: bool] :
% 273.74/45.38 (hAPP_real_bool(v0, v4) = v5 & number267125858f_real(v2) = v4 & real(v4) &
% 273.74/45.38 bool(v5) & hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.38 (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: real] : ?
% 273.74/45.38 [v5: bool] : (hAPP_real_bool(v0, v4) = v5 & number267125858f_real(v2) = v4
% 273.74/45.38 & real(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.38
% 273.74/45.38 (fact_734_power__decreasing)
% 273.74/45.38 fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_int_fun_int_bool(ord_less_eq_int)
% 273.74/45.38 & int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] :
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.38 fun_int_bool(v0) & ! [v1: int] : ! [v2: nat] : ! [v3: nat] : ! [v4:
% 273.74/45.38 fun_nat_int] : ! [v5: int] : ! [v6: fun_int_bool] : ! [v7: int] : !
% 273.74/45.38 [v8: bool] : ( ~ (power_power_int(v1) = v4) | ~
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~ (hAPP_nat_int(v4,
% 273.74/45.38 v3) = v5) | ~ (hAPP_nat_int(v4, v2) = v7) | ~ (hAPP_int_bool(v6, v7)
% 273.74/45.38 = v8) | ~ nat(v3) | ~ nat(v2) | ~ int(v1) | hBOOL(v8) | ? [v9:
% 273.74/45.38 fun_nat_bool] : ? [v10: bool] : ? [v11: bool] : ? [v12: fun_int_bool]
% 273.74/45.38 : ? [v13: bool] : ((hAPP_n1699378549t_bool(ord_less_eq_nat, v2) = v9 &
% 273.74/45.38 hAPP_nat_bool(v9, v3) = v10 & fun_nat_bool(v9) & bool(v10) & ~
% 273.74/45.38 hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v12 &
% 273.74/45.38 hAPP_int_bool(v12, one_one_int) = v13 & fun_int_bool(v12) & bool(v13)
% 273.74/45.38 & ~ hBOOL(v13)) | (hAPP_int_bool(v0, v1) = v11 & bool(v11) & ~
% 273.74/45.38 hBOOL(v11)))))
% 273.74/45.38
% 273.74/45.38 (fact_737_power__increasing__iff)
% 273.74/45.38 fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_int_fun_int_bool(ord_less_eq_int)
% 273.74/45.38 & fun_int_fun_int_bool(ord_less_int) & int(one_one_int) & ? [v0:
% 273.74/45.38 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 273.74/45.38 fun_int_bool(v0) & ! [v1: nat] : ! [v2: nat] : ! [v3: int] : ! [v4:
% 273.74/45.38 fun_nat_int] : ! [v5: int] : ! [v6: fun_int_bool] : ! [v7: int] : !
% 273.74/45.38 [v8: bool] : ( ~ (power_power_int(v3) = v4) | ~
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~ (hAPP_nat_int(v4,
% 273.74/45.38 v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5) | ~ (hAPP_int_bool(v6, v7)
% 273.74/45.38 = v8) | ~ nat(v2) | ~ nat(v1) | ~ int(v3) | ? [v9: bool] : ? [v10:
% 273.74/45.38 fun_nat_bool] : ? [v11: bool] : ((hAPP_int_bool(v0, v3) = v9 & bool(v9)
% 273.74/45.38 & ~ hBOOL(v9)) | (( ~ hBOOL(v8) |
% 273.74/45.38 (hAPP_n1699378549t_bool(ord_less_eq_nat, v1) = v10 &
% 273.74/45.38 hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) & bool(v11) &
% 273.74/45.38 hBOOL(v11))) & (hBOOL(v8) |
% 273.74/45.38 (hAPP_n1699378549t_bool(ord_less_eq_nat, v1) = v10 &
% 273.74/45.38 hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) & bool(v11) & ~
% 273.74/45.38 hBOOL(v11)))))))
% 273.74/45.38
% 273.74/45.38 (fact_740_power__le__imp__le__exp)
% 273.74/45.38 fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_int_fun_int_bool(ord_less_eq_int)
% 273.74/45.38 & fun_int_fun_int_bool(ord_less_int) & int(one_one_int) & ? [v0:
% 273.74/45.38 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 273.74/45.38 fun_int_bool(v0) & ! [v1: nat] : ! [v2: nat] : ! [v3: int] : ! [v4:
% 273.74/45.38 fun_nat_int] : ! [v5: int] : ! [v6: fun_int_bool] : ! [v7: int] : !
% 273.74/45.38 [v8: bool] : ( ~ (power_power_int(v3) = v4) | ~
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~ (hAPP_nat_int(v4,
% 273.74/45.38 v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5) | ~ (hAPP_int_bool(v6, v7)
% 273.74/45.38 = v8) | ~ nat(v2) | ~ nat(v1) | ~ int(v3) | ~ hBOOL(v8) | ? [v9:
% 273.74/45.38 bool] : ? [v10: fun_nat_bool] : ? [v11: bool] :
% 273.74/45.38 ((hAPP_n1699378549t_bool(ord_less_eq_nat, v1) = v10 & hAPP_nat_bool(v10,
% 273.74/45.38 v2) = v11 & fun_nat_bool(v10) & bool(v11) & hBOOL(v11)) |
% 273.74/45.38 (hAPP_int_bool(v0, v3) = v9 & bool(v9) & ~ hBOOL(v9)))))
% 273.74/45.38
% 273.74/45.38 (fact_741_nat__eq__iff2)
% 273.74/45.38 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.38 nat(zero_zero_nat) & int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.38 fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.38 int] : (v4 = v2 | ~ (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) | ~ hBOOL(v3) | ?
% 273.74/45.38 [v5: nat] : ( ~ (v5 = v1) & nat_1(v2) = v5 & nat(v5))) & ! [v1: nat] : !
% 273.74/45.38 [v2: int] : ! [v3: bool] : ! [v4: int] : (v1 = zero_zero_nat | ~
% 273.74/45.38 (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~ (hAPP_int_bool(v0,
% 273.74/45.38 v2) = v3) | ~ nat(v1) | ~ int(v2) | hBOOL(v3) | ? [v5: nat] : ( ~
% 273.74/45.38 (v5 = v1) & nat_1(v2) = v5 & nat(v5))) & ! [v1: nat] : ! [v2: int] :
% 273.74/45.38 ! [v3: bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) | ~ hBOOL(v3) |
% 273.74/45.38 nat_1(v2) = v1) & ! [v1: int] : ! [v2: bool] : ! [v3: int] : ( ~
% 273.74/45.38 (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = v3) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | nat_1(v1) = zero_zero_nat |
% 273.74/45.38 hBOOL(v2)) & ! [v1: int] : ! [v2: bool] : ( ~
% 273.74/45.38 (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = v1) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | nat_1(v1) = zero_zero_nat))
% 273.74/45.38
% 273.74/45.38 (fact_742_nat__eq__iff)
% 273.74/45.38 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.38 nat(zero_zero_nat) & int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.38 fun_int_bool(v0) & ! [v1: int] : ! [v2: nat] : ! [v3: bool] : ! [v4:
% 273.74/45.38 int] : (v4 = v1 | ~ (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v1) = v3) | ~ nat(v2) | ~ int(v1) | ~ hBOOL(v3) | ?
% 273.74/45.38 [v5: nat] : ( ~ (v5 = v2) & nat_1(v1) = v5 & nat(v5))) & ! [v1: int] : !
% 273.74/45.38 [v2: nat] : ! [v3: bool] : ! [v4: int] : (v2 = zero_zero_nat | ~
% 273.74/45.38 (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~ (hAPP_int_bool(v0,
% 273.74/45.38 v1) = v3) | ~ nat(v2) | ~ int(v1) | hBOOL(v3) | ? [v5: nat] : ( ~
% 273.74/45.38 (v5 = v2) & nat_1(v1) = v5 & nat(v5))) & ! [v1: int] : ! [v2: nat] :
% 273.74/45.38 ! [v3: bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int, v2) = v1) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v1) = v3) | ~ nat(v2) | ~ int(v1) | ~ hBOOL(v3) |
% 273.74/45.38 nat_1(v1) = v2) & ! [v1: int] : ! [v2: bool] : ! [v3: int] : ( ~
% 273.74/45.38 (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = v3) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | nat_1(v1) = zero_zero_nat |
% 273.74/45.38 hBOOL(v2)) & ! [v1: int] : ! [v2: bool] : ( ~
% 273.74/45.38 (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = v1) | ~
% 273.74/45.38 (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | nat_1(v1) = zero_zero_nat))
% 273.74/45.38
% 273.74/45.38 (fact_743_Nat__Transfer_Otransfer__nat__int__functions_I1_J)
% 273.74/45.38 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.38 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.38 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.38 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.38 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] :
% 273.74/45.38 ? [v6: nat] : ? [v7: nat] : ? [v8: int] : (nat_1(v8) = v7 & nat_1(v2) =
% 273.74/45.38 v5 & nat_1(v1) = v6 & plus_plus_nat(v5, v6) = v7 & plus_plus_int(v2, v1)
% 273.74/45.38 = v8 & nat(v7) & nat(v6) & nat(v5) & int(v8))))
% 273.74/45.38
% 273.74/45.38 (fact_744_nat__add__distrib)
% 273.74/45.38 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.38 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.38 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.38 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.38 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] :
% 273.74/45.38 ? [v6: nat] : ? [v7: nat] : ? [v8: nat] : (nat_1(v5) = v6 & nat_1(v2) =
% 273.74/45.38 v7 & nat_1(v1) = v8 & plus_plus_nat(v7, v8) = v6 & plus_plus_int(v2, v1)
% 273.74/45.38 = v5 & nat(v8) & nat(v7) & nat(v6) & int(v5))))
% 273.74/45.38
% 273.74/45.38 (fact_745_int__eq__iff__number__of)
% 273.74/45.38 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.38 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.38 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.38 fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.38 : (v4 = v3 | ~ (number_number_of_int(v2) = v3) | ~
% 273.74/45.38 (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~ nat(v1) | ~ int(v2)
% 273.74/45.38 | ? [v5: nat] : ? [v6: bool] : (( ~ (v5 = v1) & nat_1(v3) = v5 &
% 273.74/45.38 nat(v5)) | (hAPP_int_bool(v0, v3) = v6 & bool(v6) & ~ hBOOL(v6)))) &
% 273.74/45.38 ! [v1: nat] : ! [v2: int] : ! [v3: int] : ( ~ (number_number_of_int(v2) =
% 273.74/45.38 v3) | ~ (hAPP_nat_int(semiri1621563631at_int, v1) = v3) | ~ nat(v1) |
% 273.74/45.38 ~ int(v2) | ? [v4: bool] : (nat_1(v3) = v1 & hAPP_int_bool(v0, v3) = v4 &
% 273.74/45.38 bool(v4) & hBOOL(v4))))
% 273.74/45.38
% 273.74/45.38 (fact_746_Nat__Transfer_Otransfer__nat__int__functions_I4_J)
% 273.74/45.38 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.38 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.38 & fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.74/45.38 fun_nat_nat] : ! [v5: nat] : ( ~ (nat_1(v2) = v3) | ~
% 273.74/45.38 (power_power_nat(v3) = v4) | ~ (hAPP_nat_nat(v4, v1) = v5) | ~ nat(v1) |
% 273.74/45.38 ~ int(v2) | ? [v6: bool] : ? [v7: fun_nat_int] : ? [v8: int] : ? [v9:
% 273.74/45.38 nat] : ((v9 = v5 & nat_1(v8) = v5 & power_power_int(v2) = v7 &
% 273.74/45.38 hAPP_nat_int(v7, v1) = v8 & fun_nat_int(v7) & nat(v5) & int(v8)) |
% 273.74/45.38 (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 273.74/45.38
% 273.74/45.38 (fact_747_nat__power__eq)
% 273.74/45.38 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.38 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.38 & fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.74/45.38 fun_nat_nat] : ! [v5: nat] : ( ~ (nat_1(v2) = v3) | ~
% 273.74/45.38 (power_power_nat(v3) = v4) | ~ (hAPP_nat_nat(v4, v1) = v5) | ~ nat(v1) |
% 273.74/45.38 ~ int(v2) | ? [v6: bool] : ? [v7: fun_nat_int] : ? [v8: int] : ? [v9:
% 273.74/45.38 nat] : ((v9 = v5 & nat_1(v8) = v5 & power_power_int(v2) = v7 &
% 273.74/45.38 hAPP_nat_int(v7, v1) = v8 & fun_nat_int(v7) & nat(v5) & int(v8)) |
% 273.74/45.38 (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 273.74/45.38
% 273.74/45.38 (fact_749_convex__bound__lt)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.39 int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] :
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.39 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.39 : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: int] : ! [v9:
% 273.74/45.39 fun_int_bool] : ! [v10: bool] : ( ~ (times_times_int(v2, v4) = v6) | ~
% 273.74/45.39 (times_times_int(v1, v3) = v7) | ~ (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.39 v8) = v9) | ~ (plus_plus_int(v6, v7) = v8) | ~ (hAPP_int_bool(v9,
% 273.74/45.39 v5) = v10) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~
% 273.74/45.39 int(v1) | hBOOL(v10) | ? [v11: fun_int_bool] : ? [v12: bool] : ? [v13:
% 273.74/45.39 fun_int_bool] : ? [v14: bool] : ? [v15: bool] : ? [v16: bool] : ?
% 273.74/45.39 [v17: int] : (( ~ (v17 = one_one_int) & plus_plus_int(v2, v1) = v17 &
% 273.74/45.39 int(v17)) | (hAPP_i1948725293t_bool(ord_less_int, v4) = v11 &
% 273.74/45.39 hAPP_int_bool(v11, v5) = v12 & fun_int_bool(v11) & bool(v12) & ~
% 273.74/45.39 hBOOL(v12)) | (hAPP_i1948725293t_bool(ord_less_int, v3) = v13 &
% 273.74/45.39 hAPP_int_bool(v13, v5) = v14 & fun_int_bool(v13) & bool(v14) & ~
% 273.74/45.39 hBOOL(v14)) | (hAPP_int_bool(v0, v2) = v15 & bool(v15) & ~
% 273.74/45.39 hBOOL(v15)) | (hAPP_int_bool(v0, v1) = v16 & bool(v16) & ~
% 273.74/45.39 hBOOL(v16)))))
% 273.74/45.39
% 273.74/45.39 (fact_750_nat__less__iff)
% 273.74/45.39 fun_nat_fun_nat_bool(ord_less_nat) & fun_nat_int(semiri1621563631at_int) &
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.39 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.39 fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: fun_int_bool] : !
% 273.74/45.39 [v4: int] : ! [v5: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v2) =
% 273.74/45.39 v3) | ~ (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~
% 273.74/45.39 (hAPP_int_bool(v3, v4) = v5) | ~ nat(v1) | ~ int(v2) | ? [v6: bool] :
% 273.74/45.39 ? [v7: nat] : ? [v8: fun_nat_bool] : ? [v9: bool] : ((hAPP_int_bool(v0,
% 273.74/45.39 v2) = v6 & bool(v6) & ~ hBOOL(v6)) | (( ~ hBOOL(v5) | (nat_1(v2) =
% 273.74/45.39 v7 & hAPP_n1699378549t_bool(ord_less_nat, v7) = v8 &
% 273.74/45.39 hAPP_nat_bool(v8, v1) = v9 & fun_nat_bool(v8) & nat(v7) & bool(v9)
% 273.74/45.39 & hBOOL(v9))) & (hBOOL(v5) | (nat_1(v2) = v7 &
% 273.74/45.39 hAPP_n1699378549t_bool(ord_less_nat, v7) = v8 & hAPP_nat_bool(v8,
% 273.74/45.39 v1) = v9 & fun_nat_bool(v8) & nat(v7) & bool(v9) & ~
% 273.74/45.39 hBOOL(v9)))))))
% 273.74/45.39
% 273.74/45.39 (fact_751_le__special_I2_J)
% 273.74/45.39 fun_re413263731l_bool(ord_less_eq_real) &
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & real(one_one_real) & int(pls) & ?
% 273.74/45.39 [v0: fun_real_bool] : ? [v1: int] : ? [v2: fun_int_bool] :
% 273.74/45.39 (hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = v0 & bit1(pls) = v1
% 273.74/45.39 & hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 & fun_real_bool(v0) &
% 273.74/45.39 fun_int_bool(v2) & int(v1) & ! [v3: int] : ! [v4: bool] : ( ~
% 273.74/45.39 (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~ hBOOL(v4) | ? [v5: real] :
% 273.74/45.39 ? [v6: bool] : (hAPP_real_bool(v0, v5) = v6 & number267125858f_real(v3) =
% 273.74/45.39 v5 & real(v5) & bool(v6) & hBOOL(v6))) & ! [v3: int] : ! [v4: bool] :
% 273.74/45.39 ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | hBOOL(v4) | ? [v5: real] :
% 273.74/45.39 ? [v6: bool] : (hAPP_real_bool(v0, v5) = v6 & number267125858f_real(v3) =
% 273.74/45.39 v5 & real(v5) & bool(v6) & ~ hBOOL(v6))))
% 273.74/45.39
% 273.74/45.39 (fact_752_le__special_I2_J)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(one_one_int) & ? [v0:
% 273.74/45.39 fun_int_bool] : ? [v1: int] : ? [v2: fun_int_bool] : (bit1(pls) = v1 &
% 273.74/45.39 hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 &
% 273.74/45.39 hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 & fun_int_bool(v2)
% 273.74/45.39 & fun_int_bool(v0) & int(v1) & ! [v3: int] : ! [v4: bool] : ( ~
% 273.74/45.39 (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~ hBOOL(v4) | ? [v5: int] :
% 273.74/45.39 ? [v6: bool] : (number_number_of_int(v3) = v5 & hAPP_int_bool(v0, v5) = v6
% 273.74/45.39 & int(v5) & bool(v6) & hBOOL(v6))) & ! [v3: int] : ! [v4: bool] : ( ~
% 273.74/45.39 (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | hBOOL(v4) | ? [v5: int] : ?
% 273.74/45.39 [v6: bool] : (number_number_of_int(v3) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.39 int(v5) & bool(v6) & ~ hBOOL(v6))))
% 273.74/45.39
% 273.74/45.39 (fact_753_le__special_I4_J)
% 273.74/45.39 fun_re413263731l_bool(ord_less_eq_real) &
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & real(one_one_real) & int(pls) & ?
% 273.74/45.39 [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2: fun_int_bool] :
% 273.74/45.39 ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) | ~ int(v1) | ?
% 273.74/45.39 [v3: bool] : ? [v4: real] : ? [v5: fun_real_bool] : ? [v6: bool] :
% 273.74/45.39 ((hAPP_r1134773055l_bool(ord_less_eq_real, v4) = v5 & hAPP_real_bool(v5,
% 273.74/45.39 one_one_real) = v6 & number267125858f_real(v1) = v4 &
% 273.74/45.39 fun_real_bool(v5) & real(v4) & bool(v6) & hBOOL(v6)) |
% 273.74/45.39 (hAPP_int_bool(v2, v0) = v3 & bool(v3) & ~ hBOOL(v3)))) & ! [v1: int]
% 273.74/45.39 : ! [v2: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 273.74/45.39 v2) | ~ int(v1) | ? [v3: real] : ? [v4: fun_real_bool] : ? [v5:
% 273.74/45.39 bool] : ? [v6: bool] : ((hAPP_r1134773055l_bool(ord_less_eq_real, v3) =
% 273.74/45.39 v4 & hAPP_real_bool(v4, one_one_real) = v5 & number267125858f_real(v1)
% 273.74/45.39 = v3 & fun_real_bool(v4) & real(v3) & bool(v5) & ~ hBOOL(v5)) |
% 273.74/45.39 (hAPP_int_bool(v2, v0) = v6 & bool(v6) & hBOOL(v6)))))
% 273.74/45.39
% 273.74/45.39 (fact_754_le__special_I4_J)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(one_one_int) & ? [v0:
% 273.74/45.39 int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2: fun_int_bool] : (
% 273.74/45.39 ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) | ~ int(v1) | ?
% 273.74/45.39 [v3: bool] : ? [v4: int] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 273.74/45.39 ((number_number_of_int(v1) = v4 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.39 v4) = v5 & hAPP_int_bool(v5, one_one_int) = v6 & fun_int_bool(v5) &
% 273.74/45.39 int(v4) & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v2, v0) = v3 &
% 273.74/45.39 bool(v3) & ~ hBOOL(v3)))) & ! [v1: int] : ! [v2: fun_int_bool] : (
% 273.74/45.39 ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) | ~ int(v1) | ?
% 273.74/45.39 [v3: int] : ? [v4: fun_int_bool] : ? [v5: bool] : ? [v6: bool] :
% 273.74/45.39 ((number_number_of_int(v1) = v3 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.39 v3) = v4 & hAPP_int_bool(v4, one_one_int) = v5 & fun_int_bool(v4) &
% 273.74/45.39 int(v3) & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(v2, v0) = v6 &
% 273.74/45.39 bool(v6) & hBOOL(v6)))))
% 273.74/45.39
% 273.74/45.39 (fact_759_less__iff__diff__less__0)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ! [v0: int] : !
% 273.74/45.39 [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool] : ( ~
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) | ~ (hAPP_int_bool(v2, v1)
% 273.74/45.39 = v3) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v3) | ? [v4: int] : ? [v5:
% 273.74/45.39 fun_int_bool] : ? [v6: bool] : (minus_minus_int(v0, v1) = v4 &
% 273.74/45.39 hAPP_i1948725293t_bool(ord_less_int, v4) = v5 & hAPP_int_bool(v5,
% 273.74/45.39 zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) &
% 273.74/45.39 hBOOL(v6))) & ! [v0: int] : ! [v1: int] : ! [v2: fun_int_bool] : !
% 273.74/45.39 [v3: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) | ~
% 273.74/45.39 (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | hBOOL(v3) | ? [v4:
% 273.74/45.39 int] : ? [v5: fun_int_bool] : ? [v6: bool] : (minus_minus_int(v0, v1) =
% 273.74/45.39 v4 & hAPP_i1948725293t_bool(ord_less_int, v4) = v5 & hAPP_int_bool(v5,
% 273.74/45.39 zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) & ~
% 273.74/45.39 hBOOL(v6)))
% 273.74/45.39
% 273.74/45.39 (fact_765_mult__less__cancel__right__disj)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.39 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.39 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.39 : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.39 (times_times_int(v3, v2) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.39 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v7) | ?
% 273.74/45.39 [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] : ? [v11:
% 273.74/45.39 fun_int_bool] : ? [v12: bool] : ? [v13: fun_int_bool] : ? [v14: bool]
% 273.74/45.39 : ((hAPP_i1948725293t_bool(ord_less_int, v3) = v13 &
% 273.74/45.39 hAPP_i1948725293t_bool(ord_less_int, v2) = v11 & hAPP_int_bool(v13,
% 273.74/45.39 v1) = v14 & hAPP_int_bool(v11, zero_zero_int) = v12 &
% 273.74/45.39 fun_int_bool(v13) & fun_int_bool(v11) & bool(v14) & bool(v12) &
% 273.74/45.39 hBOOL(v14) & hBOOL(v12)) | (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 273.74/45.39 v9 & hAPP_int_bool(v9, v3) = v10 & hAPP_int_bool(v0, v2) = v8 &
% 273.74/45.39 fun_int_bool(v9) & bool(v10) & bool(v8) & hBOOL(v10) & hBOOL(v8)))) &
% 273.74/45.39 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.39 fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3,
% 273.74/45.39 v2) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.39 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v7) | ? [v8:
% 273.74/45.39 bool] : ? [v9: fun_int_bool] : ? [v10: bool] : ? [v11: fun_int_bool]
% 273.74/45.39 : ? [v12: bool] : ? [v13: fun_int_bool] : ? [v14: bool] :
% 273.74/45.39 (((hAPP_i1948725293t_bool(ord_less_int, v3) = v13 & hAPP_int_bool(v13, v1)
% 273.74/45.39 = v14 & fun_int_bool(v13) & bool(v14) & ~ hBOOL(v14)) |
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_int, v2) = v11 & hAPP_int_bool(v11,
% 273.74/45.39 zero_zero_int) = v12 & fun_int_bool(v11) & bool(v12) & ~
% 273.74/45.39 hBOOL(v12))) & ((hAPP_i1948725293t_bool(ord_less_int, v1) = v9 &
% 273.74/45.39 hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 273.74/45.39 hBOOL(v10)) | (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~
% 273.74/45.39 hBOOL(v8))))))
% 273.74/45.39
% 273.74/45.39 (fact_774_rel__simps_I22_J)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & ? [v0: fun_int_bool] :
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 & fun_int_bool(v0) & !
% 273.74/45.39 [v1: int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 273.74/45.39 ~ hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit1(v1) = v3 &
% 273.74/45.39 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1:
% 273.74/45.39 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 273.74/45.39 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit1(v1) = v3 &
% 273.74/45.39 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~ hBOOL(v4))))
% 273.74/45.39
% 273.74/45.39 (fact_777_rel__simps_I21_J)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & ? [v0: fun_int_bool] :
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 & fun_int_bool(v0) & !
% 273.74/45.39 [v1: int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 273.74/45.39 ~ hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 273.74/45.39 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1:
% 273.74/45.39 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 273.74/45.39 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 273.74/45.39 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~ hBOOL(v4))))
% 273.74/45.39
% 273.74/45.39 (fact_779_pos__zmult__pos)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.39 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.39 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.39 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.39 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v3) | hBOOL(v4) | ? [v5: int] : ?
% 273.74/45.39 [v6: bool] : (times_times_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.39 int(v5) & bool(v6) & ~ hBOOL(v6))))
% 273.74/45.39
% 273.74/45.39 (fact_77_rel__simps_I4_J)
% 273.74/45.39 fun_int_fun_int_bool(ord_less_int) & int(pls) & ? [v0: fun_int_bool] :
% 273.74/45.39 (hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & fun_int_bool(v0) & ! [v1:
% 273.74/45.39 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~
% 273.74/45.39 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 273.74/45.39 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1:
% 273.74/45.39 int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 273.74/45.39 hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 273.74/45.39 hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~ hBOOL(v4))))
% 273.74/45.39
% 273.74/45.40 (fact_780_zmult__zless__mono2)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.40 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.40 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.40 : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 273.74/45.40 (times_times_int(v1, v3) = v6) | ~ (times_times_int(v1, v2) = v4) | ~
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.40 v6) = v7) | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v7) | ? [v8:
% 273.74/45.40 fun_int_bool] : ? [v9: bool] : ? [v10: bool] :
% 273.74/45.40 ((hAPP_i1948725293t_bool(ord_less_int, v2) = v8 & hAPP_int_bool(v8, v3) =
% 273.74/45.40 v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) | (hAPP_int_bool(v0,
% 273.74/45.40 v1) = v10 & bool(v10) & ~ hBOOL(v10)))))
% 273.74/45.40
% 273.74/45.40 (fact_781_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & int(one_one_int)
% 273.74/45.40 & ? [v0: fun_int_bool] : ? [v1: bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.40 hAPP_int_bool(v0, one_one_int) = v1 & fun_int_bool(v0) & bool(v1) &
% 273.74/45.40 hBOOL(v1))
% 273.74/45.40
% 273.74/45.40 (fact_782_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.40 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.40 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.40 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.40 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] :
% 273.74/45.40 ? [v6: bool] : (plus_plus_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.40 int(v5) & bool(v6) & hBOOL(v6))))
% 273.74/45.40
% 273.74/45.40 (fact_784_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J)
% 273.74/45.40 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.40 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.40 fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ( ~
% 273.74/45.40 (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~ nat(v1) | ? [v3:
% 273.74/45.40 bool] : (hAPP_int_bool(v0, v2) = v3 & bool(v3) & hBOOL(v3))))
% 273.74/45.40
% 273.74/45.40 (fact_785_transfer__int__nat__quantifiers_I2_J)
% 273.74/45.40 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.40 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.40 fun_int_bool(v0) & ! [v1: fun_int_bool] : ! [v2: nat] : ! [v3: int] : !
% 273.74/45.40 [v4: bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int, v2) = v3) | ~
% 273.74/45.40 (hAPP_int_bool(v1, v3) = v4) | ~ fun_int_bool(v1) | ~ nat(v2) | ~
% 273.74/45.40 hBOOL(v4) | ? [v5: int] : ? [v6: bool] : ? [v7: bool] :
% 273.74/45.40 (hAPP_int_bool(v1, v5) = v7 & hAPP_int_bool(v0, v5) = v6 & int(v5) &
% 273.74/45.40 bool(v7) & bool(v6) & hBOOL(v7) & hBOOL(v6))) & ? [v1: fun_int_bool] :
% 273.74/45.40 ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~
% 273.74/45.40 fun_int_bool(v1) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: nat] : ? [v5: int]
% 273.74/45.40 : ? [v6: bool] : ? [v7: bool] : (nat(v4) &
% 273.74/45.40 ((hAPP_nat_int(semiri1621563631at_int, v4) = v5 & hAPP_int_bool(v1, v5)
% 273.74/45.40 = v6 & int(v5) & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v1, v2) = v7
% 273.74/45.40 & bool(v7) & ~ hBOOL(v7))))))
% 273.74/45.40
% 273.74/45.40 (fact_786_transfer__int__nat__quantifiers_I1_J)
% 273.74/45.40 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.40 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.40 fun_int_bool(v0) & ! [v1: fun_int_bool] : ! [v2: nat] : ! [v3: int] : !
% 273.74/45.40 [v4: bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int, v2) = v3) | ~
% 273.74/45.40 (hAPP_int_bool(v1, v3) = v4) | ~ fun_int_bool(v1) | ~ nat(v2) |
% 273.74/45.40 hBOOL(v4) | ? [v5: int] : ? [v6: bool] : ? [v7: bool] :
% 273.74/45.40 (hAPP_int_bool(v1, v5) = v7 & hAPP_int_bool(v0, v5) = v6 & int(v5) &
% 273.74/45.40 bool(v7) & bool(v6) & hBOOL(v6) & ~ hBOOL(v7))) & ? [v1: fun_int_bool]
% 273.74/45.40 : ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~
% 273.74/45.40 fun_int_bool(v1) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: bool] : ? [v5:
% 273.74/45.40 nat] : ? [v6: int] : ? [v7: bool] : (nat(v5) &
% 273.74/45.40 ((hAPP_nat_int(semiri1621563631at_int, v5) = v6 & hAPP_int_bool(v1, v6)
% 273.74/45.40 = v7 & int(v6) & bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(v1, v2) =
% 273.74/45.40 v4 & bool(v4) & hBOOL(v4))))))
% 273.74/45.40
% 273.74/45.40 (fact_787_zero__zle__int)
% 273.74/45.40 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.40 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.40 fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ( ~
% 273.74/45.40 (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~ nat(v1) | ? [v3:
% 273.74/45.40 bool] : (hAPP_int_bool(v0, v2) = v3 & bool(v3) & hBOOL(v3))))
% 273.74/45.40
% 273.74/45.40 (fact_788_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.40 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.40 & fun_int_bool(v0) & ! [v1: nat] : ! [v2: int] : ! [v3: fun_nat_int] : !
% 273.74/45.40 [v4: int] : ( ~ (power_power_int(v2) = v3) | ~ (hAPP_nat_int(v3, v1) = v4)
% 273.74/45.40 | ~ nat(v1) | ~ int(v2) | ? [v5: bool] : ? [v6: bool] :
% 273.74/45.40 ((hAPP_int_bool(v0, v4) = v6 & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v0,
% 273.74/45.40 v2) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 273.74/45.40
% 273.74/45.40 (fact_791_nat__mono__iff)
% 273.74/45.40 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.40 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.40 ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5:
% 273.74/45.40 nat] : ! [v6: bool] : ( ~ (nat_1(v2) = v5) | ~ (nat_1(v1) = v3) | ~
% 273.74/45.40 (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~ (hAPP_nat_bool(v4,
% 273.74/45.40 v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7: bool] : ? [v8:
% 273.74/45.40 fun_int_bool] : ? [v9: bool] : ((hAPP_int_bool(v0, v2) = v7 & bool(v7)
% 273.74/45.40 & ~ hBOOL(v7)) | (( ~ hBOOL(v6) |
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 & hAPP_int_bool(v8,
% 273.74/45.40 v2) = v9 & fun_int_bool(v8) & bool(v9) & hBOOL(v9))) &
% 273.74/45.40 (hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 273.74/45.40 hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 273.74/45.40 hBOOL(v9)))))))
% 273.74/45.40
% 273.74/45.40 (fact_792_zless__nat__conj)
% 273.74/45.40 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.40 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.40 ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5:
% 273.74/45.40 nat] : ! [v6: bool] : ( ~ (nat_1(v2) = v5) | ~ (nat_1(v1) = v3) | ~
% 273.74/45.40 (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~ (hAPP_nat_bool(v4,
% 273.74/45.40 v5) = v6) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v6) | ? [v7: bool] :
% 273.74/45.40 ? [v8: fun_int_bool] : ? [v9: bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 & hAPP_int_bool(v8, v2) =
% 273.74/45.40 v9 & hAPP_int_bool(v0, v2) = v7 & fun_int_bool(v8) & bool(v9) & bool(v7)
% 273.74/45.40 & hBOOL(v9) & hBOOL(v7))) & ! [v1: int] : ! [v2: int] : ! [v3: nat] :
% 273.74/45.40 ! [v4: fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~ (nat_1(v2) = v5)
% 273.74/45.40 | ~ (nat_1(v1) = v3) | ~ (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4)
% 273.74/45.40 | ~ (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | hBOOL(v6) |
% 273.74/45.40 ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 273.74/45.40 ((hAPP_i1948725293t_bool(ord_less_int, v1) = v8 & hAPP_int_bool(v8, v2) =
% 273.74/45.40 v9 & fun_int_bool(v8) & bool(v9) & ~ hBOOL(v9)) | (hAPP_int_bool(v0,
% 273.74/45.40 v2) = v7 & bool(v7) & ~ hBOOL(v7)))))
% 273.74/45.40
% 273.74/45.40 (fact_798_rel__simps_I5_J)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.40 int(pls) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.40 (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 &
% 273.74/45.40 hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & fun_int_bool(v1) &
% 273.74/45.40 fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.74/45.40 = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.74/45.40 (bit1(v2) = v4 & hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) &
% 273.74/45.40 hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.74/45.40 = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.74/45.40 (bit1(v2) = v4 & hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & ~
% 273.74/45.40 hBOOL(v5))))
% 273.74/45.40
% 273.74/45.40 (fact_79_bin__less__0__simps_I1_J)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(zero_zero_int) & ? [v0:
% 273.74/45.40 fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int, pls) =
% 273.74/45.40 v0 & hAPP_int_bool(v0, zero_zero_int) = v1 & fun_int_bool(v0) & bool(v1) &
% 273.74/45.40 ~ hBOOL(v1))
% 273.74/45.40
% 273.74/45.40 (fact_7_zero__power2)
% 273.74/45.40 int(pls) & int(zero_zero_int) & ? [v0: fun_nat_int] : ? [v1: int] : ? [v2:
% 273.74/45.40 int] : ? [v3: nat] : (bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.40 number_number_of_nat(v2) = v3 & power_power_int(zero_zero_int) = v0 &
% 273.74/45.40 hAPP_nat_int(v0, v3) = zero_zero_int & fun_nat_int(v0) & nat(v3) & int(v2) &
% 273.74/45.40 int(v1))
% 273.74/45.40
% 273.74/45.40 (fact_805_pos__zmult__eq__1__iff)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.40 ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) =
% 273.74/45.40 v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : (v2 = one_one_int | ~
% 273.74/45.40 (times_times_int(v2, v1) = one_one_int) | ~ int(v2) | ~ int(v1) | ?
% 273.74/45.40 [v3: bool] : (hAPP_int_bool(v0, v2) = v3 & bool(v3) & ~ hBOOL(v3))) & !
% 273.74/45.40 [v1: int] : ! [v2: int] : (v1 = one_one_int | ~ (times_times_int(v2, v1) =
% 273.74/45.40 one_one_int) | ~ int(v2) | ~ int(v1) | ? [v3: bool] :
% 273.74/45.40 (hAPP_int_bool(v0, v2) = v3 & bool(v3) & ~ hBOOL(v3))) & ! [v1: int] :
% 273.74/45.40 (v1 = one_one_int | ~ (times_times_int(one_one_int, one_one_int) = v1) | ?
% 273.74/45.40 [v2: bool] : (hAPP_int_bool(v0, one_one_int) = v2 & bool(v2) & ~
% 273.74/45.40 hBOOL(v2))))
% 273.74/45.40
% 273.74/45.40 (fact_806_int__one__le__iff__zero__less)
% 273.74/45.40 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.40 int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] : ? [v1:
% 273.74/45.40 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 &
% 273.74/45.40 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 273.74/45.40 & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v0,
% 273.74/45.40 v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: bool] :
% 273.74/45.40 (hAPP_int_bool(v1, v2) = v4 & bool(v4) & hBOOL(v4))) & ! [v2: int] : !
% 273.74/45.40 [v3: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | hBOOL(v3) | ?
% 273.74/45.40 [v4: bool] : (hAPP_int_bool(v1, v2) = v4 & bool(v4) & ~ hBOOL(v4))))
% 273.74/45.40
% 273.74/45.40 (fact_808_succ__Pls)
% 273.74/45.40 int(pls) & ? [v0: int] : (succ(pls) = v0 & bit1(pls) = v0 & int(v0))
% 273.74/45.40
% 273.74/45.40 (fact_815_zero__less__nat__eq)
% 273.74/45.40 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.40 nat(zero_zero_nat) & int(zero_zero_int) & ? [v0: fun_nat_bool] : ? [v1:
% 273.74/45.40 fun_int_bool] : (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 &
% 273.74/45.40 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_nat_bool(v0)
% 273.74/45.40 & fun_int_bool(v1) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1,
% 273.74/45.40 v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: nat] : ? [v5: bool] :
% 273.74/45.40 (nat_1(v2) = v4 & hAPP_nat_bool(v0, v4) = v5 & nat(v4) & bool(v5) &
% 273.74/45.40 hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2)
% 273.74/45.40 = v3) | ~ int(v2) | hBOOL(v3) | ? [v4: nat] : ? [v5: bool] :
% 273.74/45.40 (nat_1(v2) = v4 & hAPP_nat_bool(v0, v4) = v5 & nat(v4) & bool(v5) & ~
% 273.74/45.40 hBOOL(v5))))
% 273.74/45.40
% 273.74/45.40 (fact_816_transfer__nat__int__numerals_I4_J)
% 273.74/45.41 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 273.74/45.41 (nat_1(v3) = v2 & number_number_of_int(v1) = v3 & bit1(v0) = v1 & bit1(pls) =
% 273.74/45.41 v0 & number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) & int(v0))
% 273.74/45.41
% 273.74/45.41 (fact_818_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) & ?
% 273.74/45.41 [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 273.74/45.41 bool] : (number_number_of_int(v2) = v3 & bit1(v1) = v2 & bit1(pls) = v1 &
% 273.74/45.41 hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.41 hAPP_int_bool(v0, v3) = v4 & fun_int_bool(v0) & int(v3) & int(v2) & int(v1)
% 273.74/45.41 & bool(v4) & hBOOL(v4))
% 273.74/45.41
% 273.74/45.41 (fact_819_le__imp__0__less)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.41 int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] : ? [v1:
% 273.74/45.41 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.41 & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 273.74/45.41 fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.41 (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4: int] :
% 273.74/45.41 ? [v5: bool] : (plus_plus_int(one_one_int, v2) = v4 & hAPP_int_bool(v1,
% 273.74/45.41 v4) = v5 & int(v4) & bool(v5) & hBOOL(v5))))
% 273.74/45.41
% 273.74/45.41 (fact_81_int__0__less__1)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.41 ? [v0: fun_int_bool] : ? [v1: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.41 zero_zero_int) = v0 & hAPP_int_bool(v0, one_one_int) = v1 &
% 273.74/45.41 fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 273.74/45.41
% 273.74/45.41 (fact_822_transfer__nat__int__numerals_I3_J)
% 273.74/45.41 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 273.74/45.41 (nat_1(v3) = v2 & number_number_of_int(v1) = v3 & bit1(pls) = v0 & bit0(v0) =
% 273.74/45.41 v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) & int(v0))
% 273.74/45.41
% 273.74/45.41 (fact_823_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & int(zero_zero_int) & ?
% 273.74/45.41 [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 273.74/45.41 bool] : (number_number_of_int(v2) = v3 & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.41 hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.41 hAPP_int_bool(v0, v3) = v4 & fun_int_bool(v0) & int(v3) & int(v2) & int(v1)
% 273.74/45.41 & bool(v4) & hBOOL(v4))
% 273.74/45.41
% 273.74/45.41 (fact_824_cube__square)
% 273.74/45.41 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 273.74/45.41 nat] : (bit1(v0) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.41 number_number_of_nat(v3) = v4 & number_number_of_nat(v1) = v2 & nat(v4) &
% 273.74/45.41 nat(v2) & int(v3) & int(v1) & int(v0) & ! [v5: int] : ! [v6: fun_nat_int]
% 273.74/45.41 : ! [v7: int] : ! [v8: int] : ( ~ (times_times_int(v5, v7) = v8) | ~
% 273.74/45.41 (power_power_int(v5) = v6) | ~ (hAPP_nat_int(v6, v2) = v7) | ~ int(v5) |
% 273.74/45.41 (hAPP_nat_int(v6, v4) = v8 & int(v8))))
% 273.74/45.41
% 273.74/45.41 (fact_825_power2__ge__self)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & int(pls) & ? [v0: int] : ? [v1: int]
% 273.74/45.41 : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) =
% 273.74/45.41 v2 & nat(v2) & int(v1) & int(v0) & ! [v3: int] : ! [v4: fun_int_bool] : !
% 273.74/45.41 [v5: fun_nat_int] : ! [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v3)
% 273.74/45.41 = v5) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 273.74/45.41 (hAPP_nat_int(v5, v2) = v6) | ~ (hAPP_int_bool(v4, v6) = v7) | ~ int(v3)
% 273.74/45.41 | hBOOL(v7)))
% 273.74/45.41
% 273.74/45.41 (fact_826_int__pos__lt__two__imp__zero__or__one)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.41 int(pls) & int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] : ?
% 273.74/45.41 [v1: int] : ? [v2: int] : ? [v3: int] : (number_number_of_int(v2) = v3 &
% 273.74/45.41 bit1(pls) = v1 & bit0(v1) = v2 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 273.74/45.41 zero_zero_int) = v0 & fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & !
% 273.74/45.41 [v4: int] : ! [v5: bool] : (v4 = zero_zero_int | v4 = one_one_int | ~
% 273.74/45.41 (hAPP_int_bool(v0, v4) = v5) | ~ int(v4) | ~ hBOOL(v5) | ? [v6:
% 273.74/45.41 fun_int_bool] : ? [v7: bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.41 v4) = v6 & hAPP_int_bool(v6, v3) = v7 & fun_int_bool(v6) & bool(v7) &
% 273.74/45.41 ~ hBOOL(v7))))
% 273.74/45.41
% 273.74/45.41 (fact_827_Euler_Oaux__1)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_int) & nat(one_one_nat) & int(zero_zero_int) &
% 273.74/45.41 ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) =
% 273.74/45.41 v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_nat_int] :
% 273.74/45.41 ! [v4: nat] : ! [v5: nat] : ! [v6: int] : ! [v7: int] : ( ~ (nat_1(v2) =
% 273.74/45.41 v4) | ~ (minus_minus_nat(v4, one_one_nat) = v5) | ~
% 273.74/45.41 (times_times_int(v1, v6) = v7) | ~ (power_power_int(v1) = v3) | ~
% 273.74/45.41 (hAPP_nat_int(v3, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v8: bool] : ?
% 273.74/45.41 [v9: int] : ((v9 = v7 & hAPP_nat_int(v3, v4) = v7 & int(v7)) |
% 273.74/45.41 (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.41
% 273.74/45.41 (fact_828_self__quotient__aux2)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.41 int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] : ? [v1:
% 273.74/45.41 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1
% 273.74/45.41 & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.41 fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4:
% 273.74/45.41 int] : ! [v5: bool] : ! [v6: bool] : ! [v7: fun_int_bool] : ( ~
% 273.74/45.41 (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v7) | ~ (hAPP_int_bool(v1,
% 273.74/45.41 v2) = v6) | ~ (hAPP_int_bool(v0, v4) = v5) | ~ int(v4) | ~ int(v3)
% 273.74/45.41 | ~ int(v2) | ~ hBOOL(v6) | ~ hBOOL(v5) | ? [v8: int] : ? [v9: int] :
% 273.74/45.41 ? [v10: bool] : (( ~ (v9 = v4) & times_times_int(v4, v3) = v8 &
% 273.74/45.41 plus_plus_int(v2, v8) = v9 & int(v9) & int(v8)) | (hAPP_int_bool(v7,
% 273.74/45.41 one_one_int) = v10 & bool(v10) & hBOOL(v10)))))
% 273.74/45.41
% 273.74/45.41 (fact_829_self__quotient__aux1)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.41 int(zero_zero_int) & int(one_one_int) & ? [v0: fun_int_bool] : ? [v1:
% 273.74/45.41 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v1 &
% 273.74/45.41 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 273.74/45.41 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.41 fun_int_bool] : ! [v6: bool] : ! [v7: bool] : ( ~
% 273.74/45.41 (hAPP_i1948725293t_bool(ord_less_int, v2) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.41 v4) = v6) | ~ (hAPP_int_bool(v1, v3) = v7) | ~ int(v4) | ~ int(v3)
% 273.74/45.41 | ~ int(v2) | ~ hBOOL(v6) | hBOOL(v7) | ? [v8: bool] : ? [v9: int] :
% 273.74/45.41 ? [v10: int] : (( ~ (v10 = v4) & times_times_int(v4, v3) = v9 &
% 273.74/45.41 plus_plus_int(v2, v9) = v10 & int(v10) & int(v9)) | (hAPP_int_bool(v0,
% 273.74/45.41 v4) = v8 & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.41
% 273.74/45.41 (fact_830_smaller_I2_J)
% 273.74/45.41 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.41 fun_int_bool(twoSqu820444569sum2sq) & nat(n) & int(m) & int(pls) &
% 273.74/45.41 int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: fun_int_bool] : ?
% 273.74/45.41 [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ?
% 273.74/45.41 [v8: int] : ? [v9: bool] : ? [v10: int] : ? [v11: bool] :
% 273.74/45.41 (times_times_int(v8, v1) = v10 & times_times_int(v6, m) = v7 &
% 273.74/45.41 number_number_of_int(v5) = v6 & bit1(pls) = v3 & bit0(v4) = v5 & bit0(v3) =
% 273.74/45.41 v4 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 273.74/45.41 hAPP_nat_int(semiri1621563631at_int, n) = v0 & plus_plus_int(v7,
% 273.74/45.41 one_one_int) = v8 & plus_plus_int(one_one_int, v0) = v1 &
% 273.74/45.41 hAPP_int_bool(v2, v8) = v9 & hAPP_int_bool(twoSqu820444569sum2sq, v10) = v11
% 273.74/45.41 & fun_int_bool(v2) & int(v10) & int(v8) & int(v7) & int(v6) & int(v5) &
% 273.74/45.41 int(v4) & int(v3) & int(v1) & int(v0) & bool(v11) & bool(v9) & hBOOL(v11) &
% 273.74/45.41 hBOOL(v9))
% 273.74/45.41
% 273.74/45.41 (fact_831_q__pos__lemma)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.41 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.41 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.41 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 273.74/45.41 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.41 fun_int_bool] : ! [v6: bool] : ! [v7: bool] : ( ~
% 273.74/45.41 (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~ (hAPP_int_bool(v5,
% 273.74/45.41 v2) = v6) | ~ (hAPP_int_bool(v0, v3) = v7) | ~ int(v4) | ~ int(v3)
% 273.74/45.41 | ~ int(v2) | ~ hBOOL(v6) | hBOOL(v7) | ? [v8: int] : ? [v9: int] : ?
% 273.74/45.41 [v10: bool] : ? [v11: bool] : ((times_times_int(v2, v3) = v8 &
% 273.74/45.41 plus_plus_int(v8, v4) = v9 & hAPP_int_bool(v0, v9) = v10 & int(v9) &
% 273.74/45.41 int(v8) & bool(v10) & ~ hBOOL(v10)) | (hAPP_int_bool(v1, v2) = v11 &
% 273.74/45.41 bool(v11) & ~ hBOOL(v11)))))
% 273.74/45.41
% 273.74/45.41 (fact_832_q__neg__lemma)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.41 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.41 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.41 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 273.74/45.41 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.41 bool] : ! [v6: bool] : ! [v7: fun_int_bool] : ( ~
% 273.74/45.41 (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v7) | ~ (hAPP_int_bool(v1,
% 273.74/45.41 v2) = v6) | ~ (hAPP_int_bool(v0, v4) = v5) | ~ int(v4) | ~ int(v3)
% 273.74/45.41 | ~ int(v2) | ~ hBOOL(v6) | ~ hBOOL(v5) | ? [v8: int] : ? [v9: int] :
% 273.74/45.41 ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12: bool] :
% 273.74/45.41 ((times_times_int(v2, v3) = v8 & hAPP_i1948725293t_bool(ord_less_int, v9)
% 273.74/45.41 = v10 & plus_plus_int(v8, v4) = v9 & hAPP_int_bool(v10, zero_zero_int)
% 273.74/45.41 = v11 & fun_int_bool(v10) & int(v9) & int(v8) & bool(v11) & ~
% 273.74/45.41 hBOOL(v11)) | (hAPP_int_bool(v7, zero_zero_int) = v12 & bool(v12) &
% 273.74/45.41 hBOOL(v12)))))
% 273.74/45.41
% 273.74/45.41 (fact_833_nQ1)
% 273.74/45.41 fun_nat_int(semiri1621563631at_int) & fun_int_bool(twoSqu820444569sum2sq) &
% 273.74/45.41 nat(zero_zero_nat) & int(m) & int(pls) & int(one_one_int) & ? [v0: int] : ?
% 273.74/45.41 [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ?
% 273.74/45.41 [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: bool] : (times_times_int(v5,
% 273.74/45.41 v7) = v8 & times_times_int(v3, m) = v4 & number_number_of_int(v2) = v3 &
% 273.74/45.41 bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) = v1 &
% 273.74/45.41 hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = v6 & plus_plus_int(v4,
% 273.74/45.41 one_one_int) = v5 & plus_plus_int(one_one_int, v6) = v7 &
% 273.74/45.41 hAPP_int_bool(twoSqu820444569sum2sq, v8) = v9 & int(v8) & int(v7) & int(v6)
% 273.74/45.41 & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) & int(v0) & bool(v9) & ~
% 273.74/45.41 hBOOL(v9))
% 273.74/45.41
% 273.74/45.41 (fact_835_p0)
% 273.74/45.41 fun_int_fun_int_bool(ord_less_int) & int(m) & int(pls) & int(zero_zero_int) &
% 273.74/45.41 int(one_one_int) & ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ?
% 273.74/45.42 [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: bool] :
% 273.74/45.42 (times_times_int(v4, m) = v5 & number_number_of_int(v3) = v4 & bit1(pls) = v1
% 273.74/45.42 & bit0(v2) = v3 & bit0(v1) = v2 & hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.42 zero_zero_int) = v0 & plus_plus_int(v5, one_one_int) = v6 &
% 273.74/45.42 hAPP_int_bool(v0, v6) = v7 & fun_int_bool(v0) & int(v6) & int(v5) & int(v4)
% 273.74/45.42 & int(v3) & int(v2) & int(v1) & bool(v7) & hBOOL(v7))
% 273.74/45.42
% 273.74/45.42 (fact_836_t__l__p)
% 273.74/45.42 fun_int_fun_int_bool(ord_less_int) & int(t) & int(m) & int(pls) &
% 273.74/45.42 int(one_one_int) & ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ?
% 273.74/45.42 [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: bool] :
% 273.74/45.42 (times_times_int(v4, m) = v5 & number_number_of_int(v3) = v4 & bit1(pls) = v1
% 273.74/45.42 & bit0(v2) = v3 & bit0(v1) = v2 & hAPP_i1948725293t_bool(ord_less_int, t) =
% 273.74/45.42 v0 & plus_plus_int(v5, one_one_int) = v6 & hAPP_int_bool(v0, v6) = v7 &
% 273.74/45.42 fun_int_bool(v0) & int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1)
% 273.74/45.42 & bool(v7) & hBOOL(v7))
% 273.74/45.42
% 273.74/45.42 (fact_837_qf1pt)
% 273.74/45.42 fun_int_bool(twoSqu820444569sum2sq) & int(t) & int(m) & int(pls) &
% 273.74/45.42 int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 273.74/45.42 ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: bool] :
% 273.74/45.42 (times_times_int(v5, t) = v6 & times_times_int(v3, m) = v4 &
% 273.74/45.42 number_number_of_int(v2) = v3 & bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) =
% 273.74/45.42 v1 & plus_plus_int(v4, one_one_int) = v5 &
% 273.74/45.42 hAPP_int_bool(twoSqu820444569sum2sq, v6) = v7 & int(v6) & int(v5) & int(v4)
% 273.74/45.42 & int(v3) & int(v2) & int(v1) & int(v0) & bool(v7) & hBOOL(v7))
% 273.74/45.42
% 273.74/45.42 (fact_838_IH)
% 273.74/45.42 fun_nat_int(semiri1621563631at_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.42 fun_int_bool(twoSqu820444569sum2sq) & nat(n) & int(m) & int(pls) &
% 273.74/45.42 int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: fun_int_bool] : ?
% 273.74/45.42 [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ?
% 273.74/45.42 [v8: int] : ? [v9: bool] : ? [v10: int] : ? [v11: bool] :
% 273.74/45.42 (times_times_int(v8, v1) = v10 & times_times_int(v6, m) = v7 &
% 273.74/45.42 number_number_of_int(v5) = v6 & bit1(pls) = v3 & bit0(v4) = v5 & bit0(v3) =
% 273.74/45.42 v4 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 273.74/45.42 hAPP_nat_int(semiri1621563631at_int, n) = v0 & plus_plus_int(v7,
% 273.74/45.42 one_one_int) = v8 & plus_plus_int(one_one_int, v0) = v1 &
% 273.74/45.42 hAPP_int_bool(v2, v8) = v9 & hAPP_int_bool(twoSqu820444569sum2sq, v10) = v11
% 273.74/45.42 & fun_int_bool(v2) & int(v10) & int(v8) & int(v7) & int(v6) & int(v5) &
% 273.74/45.42 int(v4) & int(v3) & int(v1) & int(v0) & bool(v11) & bool(v9) & hBOOL(v11) &
% 273.74/45.42 hBOOL(v9))
% 273.74/45.42
% 273.74/45.42 (fact_839__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_061_A_I4_A)
% 273.74/45.42 fun_nat_int(semiri1621563631at_int) & nat(n) & int(m) & int(pls) &
% 273.74/45.42 int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 273.74/45.42 ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ?
% 273.74/45.42 [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: fun_nat_int] : ? [v13:
% 273.74/45.42 int] : ? [v14: fun_nat_int] : ? [v15: int] : (times_times_int(v6, v8) = v9
% 273.74/45.42 & times_times_int(v4, m) = v5 & number_number_of_int(v3) = v4 & bit1(pls) =
% 273.74/45.42 v0 & bit0(v1) = v3 & bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 273.74/45.42 power_power_int(v11) = v14 & power_power_int(v10) = v12 & hAPP_nat_int(v14,
% 273.74/45.42 v2) = v15 & hAPP_nat_int(v12, v2) = v13 &
% 273.74/45.42 hAPP_nat_int(semiri1621563631at_int, n) = v7 & plus_plus_int(v13, v15) = v9
% 273.74/45.42 & plus_plus_int(v5, one_one_int) = v6 & plus_plus_int(one_one_int, v7) = v8
% 273.74/45.42 & fun_nat_int(v14) & fun_nat_int(v12) & nat(v2) & int(v15) & int(v13) &
% 273.74/45.42 int(v11) & int(v10) & int(v9) & int(v8) & int(v7) & int(v6) & int(v5) &
% 273.74/45.42 int(v4) & int(v3) & int(v1) & int(v0))
% 273.74/45.42
% 273.74/45.42 (fact_840_t)
% 273.74/45.42 int(t) & int(s) & int(m) & int(pls) & int(one_one_int) & ? [v0: fun_nat_int]
% 273.74/45.42 : ? [v1: int] : ? [v2: int] : ? [v3: nat] : ? [v4: int] : ? [v5: int] :
% 273.74/45.42 ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] :
% 273.74/45.42 (times_times_int(v9, t) = v5 & times_times_int(v7, m) = v8 &
% 273.74/45.42 number_number_of_int(v6) = v7 & bit1(pls) = v1 & bit0(v2) = v6 & bit0(v1) =
% 273.74/45.42 v2 & number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 273.74/45.42 hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v8, one_one_int) = v9 &
% 273.74/45.42 plus_plus_int(v4, one_one_int) = v5 & fun_nat_int(v0) & nat(v3) & int(v9) &
% 273.74/45.42 int(v8) & int(v7) & int(v6) & int(v5) & int(v4) & int(v2) & int(v1))
% 273.74/45.42
% 273.74/45.42 (fact_841_p)
% 273.74/45.42 fun_int_bool(zprime) & int(m) & int(pls) & int(one_one_int) & ? [v0: int] :
% 273.74/45.42 ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ?
% 273.74/45.42 [v6: bool] : (times_times_int(v3, m) = v4 & number_number_of_int(v2) = v3 &
% 273.74/45.42 bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) = v1 & plus_plus_int(v4,
% 273.74/45.42 one_one_int) = v5 & hAPP_int_bool(zprime, v5) = v6 & int(v5) & int(v4) &
% 273.74/45.42 int(v3) & int(v2) & int(v1) & int(v0) & bool(v6) & hBOOL(v6))
% 273.74/45.42
% 273.74/45.42 (fact_842__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_)
% 273.74/45.42 int(t) & int(m) & int(pls) & int(one_one_int) & ? [v0: int] : ? [v1: int] :
% 273.74/45.42 ? [v2: nat] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ?
% 273.74/45.42 [v7: int] : ? [v8: int] : ? [v9: fun_nat_int] : ? [v10: int] : ? [v11:
% 273.74/45.42 fun_nat_int] : ? [v12: int] : ? [v13: int] : (int(v8) & int(v7) & ( ~ (t =
% 273.74/45.42 one_one_int) | (v13 = v6 & times_times_int(v4, m) = v5 &
% 273.74/45.42 number_number_of_int(v3) = v4 & bit1(pls) = v0 & bit0(v1) = v3 &
% 273.74/45.42 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & power_power_int(v8) =
% 273.74/45.42 v11 & power_power_int(v7) = v9 & hAPP_nat_int(v11, v2) = v12 &
% 273.74/45.42 hAPP_nat_int(v9, v2) = v10 & plus_plus_int(v10, v12) = v6 &
% 273.74/45.42 plus_plus_int(v5, one_one_int) = v6 & fun_nat_int(v11) & fun_nat_int(v9)
% 273.74/45.42 & nat(v2) & int(v12) & int(v10) & int(v6) & int(v5) & int(v4) & int(v3)
% 273.74/45.42 & int(v1) & int(v0))))
% 273.74/45.42
% 273.74/45.42 (fact_84_less__special_I4_J)
% 273.74/45.42 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(one_one_int) & ? [v0:
% 273.74/45.42 int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2: fun_int_bool] : (
% 273.74/45.42 ~ (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) | ~ int(v1) | ? [v3:
% 273.74/45.42 bool] : ? [v4: int] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 273.74/45.42 ((number_number_of_int(v1) = v4 & hAPP_i1948725293t_bool(ord_less_int, v4)
% 273.74/45.42 = v5 & hAPP_int_bool(v5, one_one_int) = v6 & fun_int_bool(v5) &
% 273.74/45.42 int(v4) & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v2, v0) = v3 &
% 273.74/45.42 bool(v3) & ~ hBOOL(v3)))) & ! [v1: int] : ! [v2: fun_int_bool] : (
% 273.74/45.42 ~ (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) | ~ int(v1) | ? [v3:
% 273.74/45.42 int] : ? [v4: fun_int_bool] : ? [v5: bool] : ? [v6: bool] :
% 273.74/45.42 ((number_number_of_int(v1) = v3 & hAPP_i1948725293t_bool(ord_less_int, v3)
% 273.74/45.42 = v4 & hAPP_int_bool(v4, one_one_int) = v5 & fun_int_bool(v4) &
% 273.74/45.42 int(v3) & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(v2, v0) = v6 &
% 273.74/45.42 bool(v6) & hBOOL(v6)))))
% 273.74/45.42
% 273.74/45.42 (fact_85_less__special_I4_J)
% 273.74/45.42 fun_re413263731l_bool(ord_less_real) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.42 real(one_one_real) & int(pls) & ? [v0: int] : (bit1(pls) = v0 & int(v0) & !
% 273.74/45.42 [v1: int] : ! [v2: fun_int_bool] : ( ~
% 273.74/45.42 (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) | ~ int(v1) | ? [v3:
% 273.74/45.42 bool] : ? [v4: real] : ? [v5: fun_real_bool] : ? [v6: bool] :
% 273.74/45.42 ((hAPP_r1134773055l_bool(ord_less_real, v4) = v5 & hAPP_real_bool(v5,
% 273.74/45.42 one_one_real) = v6 & number267125858f_real(v1) = v4 &
% 273.74/45.42 fun_real_bool(v5) & real(v4) & bool(v6) & hBOOL(v6)) |
% 273.74/45.42 (hAPP_int_bool(v2, v0) = v3 & bool(v3) & ~ hBOOL(v3)))) & ! [v1: int]
% 273.74/45.42 : ! [v2: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 273.74/45.42 v2) | ~ int(v1) | ? [v3: real] : ? [v4: fun_real_bool] : ? [v5:
% 273.74/45.42 bool] : ? [v6: bool] : ((hAPP_r1134773055l_bool(ord_less_real, v3) = v4
% 273.74/45.42 & hAPP_real_bool(v4, one_one_real) = v5 & number267125858f_real(v1) =
% 273.74/45.42 v3 & fun_real_bool(v4) & real(v3) & bool(v5) & ~ hBOOL(v5)) |
% 273.74/45.42 (hAPP_int_bool(v2, v0) = v6 & bool(v6) & hBOOL(v6)))))
% 273.74/45.42
% 273.74/45.42 (fact_86_less__special_I2_J)
% 273.74/45.42 fun_int_fun_int_bool(ord_less_int) & int(pls) & int(one_one_int) & ? [v0:
% 273.74/45.42 fun_int_bool] : ? [v1: int] : ? [v2: fun_int_bool] : (bit1(pls) = v1 &
% 273.74/45.42 hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 273.74/45.42 hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 & fun_int_bool(v2) &
% 273.74/45.42 fun_int_bool(v0) & int(v1) & ! [v3: int] : ! [v4: bool] : ( ~
% 273.74/45.42 (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~ hBOOL(v4) | ? [v5: int] :
% 273.74/45.42 ? [v6: bool] : (number_number_of_int(v3) = v5 & hAPP_int_bool(v0, v5) = v6
% 273.74/45.42 & int(v5) & bool(v6) & hBOOL(v6))) & ! [v3: int] : ! [v4: bool] : ( ~
% 273.74/45.42 (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | hBOOL(v4) | ? [v5: int] : ?
% 273.74/45.42 [v6: bool] : (number_number_of_int(v3) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.42 int(v5) & bool(v6) & ~ hBOOL(v6))))
% 273.74/45.42
% 273.74/45.42 (fact_87_less__special_I2_J)
% 273.74/45.42 fun_re413263731l_bool(ord_less_real) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.42 real(one_one_real) & int(pls) & ? [v0: fun_real_bool] : ? [v1: int] : ?
% 273.74/45.42 [v2: fun_int_bool] : (hAPP_r1134773055l_bool(ord_less_real, one_one_real) = v0
% 273.74/45.42 & bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 273.74/45.42 fun_real_bool(v0) & fun_int_bool(v2) & int(v1) & ! [v3: int] : ! [v4:
% 273.74/45.42 bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~ hBOOL(v4) | ?
% 273.74/45.42 [v5: real] : ? [v6: bool] : (hAPP_real_bool(v0, v5) = v6 &
% 273.74/45.42 number267125858f_real(v3) = v5 & real(v5) & bool(v6) & hBOOL(v6))) & !
% 273.74/45.42 [v3: int] : ! [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) |
% 273.74/45.42 hBOOL(v4) | ? [v5: real] : ? [v6: bool] : (hAPP_real_bool(v0, v5) = v6 &
% 273.74/45.42 number267125858f_real(v3) = v5 & real(v5) & bool(v6) & ~ hBOOL(v6))))
% 273.74/45.42
% 273.74/45.42 (fact_8_zero__power2)
% 273.74/45.42 nat(zero_zero_nat) & int(pls) & ? [v0: fun_nat_nat] : ? [v1: int] : ? [v2:
% 273.74/45.42 int] : ? [v3: nat] : (power_power_nat(zero_zero_nat) = v0 &
% 273.74/45.42 hAPP_nat_nat(v0, v3) = zero_zero_nat & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.42 number_number_of_nat(v2) = v3 & fun_nat_nat(v0) & nat(v3) & int(v2) &
% 273.74/45.42 int(v1))
% 273.74/45.42
% 273.74/45.42 (fact_915_Euler_Oaux1)
% 273.74/45.42 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & int(one_one_int) &
% 273.74/45.42 ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) =
% 273.74/45.42 v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool]
% 273.74/45.42 : ! [v4: int] : ! [v5: bool] : (v4 = v2 | ~ (minus_minus_int(v1,
% 273.74/45.42 one_one_int) = v4) | ~ (hAPP_i1948725293t_bool(ord_less_int, v2) =
% 273.74/45.42 v3) | ~ (hAPP_int_bool(v3, v4) = v5) | ~ int(v2) | ~ int(v1) |
% 273.74/45.42 hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ((hAPP_int_bool(v3, v1) = v7 &
% 273.74/45.42 bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~
% 273.74/45.42 hBOOL(v6)))))
% 273.74/45.42
% 273.74/45.42 (fact_916_less__bin__lemma)
% 273.74/45.42 fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ! [v0: int] : !
% 273.74/45.42 [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool] : ( ~
% 273.74/45.42 (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) | ~ (hAPP_int_bool(v2, v1)
% 273.74/45.42 = v3) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v3) | ? [v4: int] : ? [v5:
% 273.74/45.42 fun_int_bool] : ? [v6: bool] : (minus_minus_int(v0, v1) = v4 &
% 273.74/45.42 hAPP_i1948725293t_bool(ord_less_int, v4) = v5 & hAPP_int_bool(v5,
% 273.74/45.42 zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) &
% 273.74/45.42 hBOOL(v6))) & ! [v0: int] : ! [v1: int] : ! [v2: fun_int_bool] : !
% 273.74/45.42 [v3: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) | ~
% 273.74/45.42 (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | hBOOL(v3) | ? [v4:
% 273.74/45.42 int] : ? [v5: fun_int_bool] : ? [v6: bool] : (minus_minus_int(v0, v1) =
% 273.74/45.42 v4 & hAPP_i1948725293t_bool(ord_less_int, v4) = v5 & hAPP_int_bool(v5,
% 273.74/45.42 zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) & ~
% 273.74/45.42 hBOOL(v6)))
% 273.74/45.42
% 273.74/45.42 (fact_951_transfer__nat__int__relations_I3_J)
% 273.74/45.43 fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_int_fun_int_bool(ord_less_eq_int)
% 273.74/45.43 & int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.43 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.74/45.43 fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~ (nat_1(v2) = v3) | ~
% 273.74/45.43 (nat_1(v1) = v5) | ~ (hAPP_n1699378549t_bool(ord_less_eq_nat, v3) = v4) |
% 273.74/45.43 ~ (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7: bool]
% 273.74/45.43 : ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool] :
% 273.74/45.43 ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 273.74/45.43 (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~ hBOOL(v8)) | (( ~ hBOOL(v6)
% 273.74/45.43 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 &
% 273.74/45.43 hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) &
% 273.74/45.43 hBOOL(v10))) & (hBOOL(v6) |
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 &
% 273.74/45.43 hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 273.74/45.43 hBOOL(v10)))))))
% 273.74/45.43
% 273.74/45.43 (fact_952_nat__diff__distrib)
% 273.74/45.43 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.43 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.43 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.74/45.43 nat] : ! [v5: nat] : ( ~ (nat_1(v2) = v4) | ~ (nat_1(v1) = v3) | ~
% 273.74/45.43 (minus_minus_nat(v3, v4) = v5) | ~ int(v2) | ~ int(v1) | ? [v6: bool] :
% 273.74/45.43 ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10: nat] :
% 273.74/45.43 ((v10 = v5 & minus_minus_int(v1, v2) = v9 & nat_1(v9) = v5 & nat(v5) &
% 273.74/45.43 int(v9)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v7 &
% 273.74/45.43 hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 273.74/45.43 hBOOL(v8)) | (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 273.74/45.43
% 273.74/45.43 (fact_953_nat__mult__distrib)
% 273.74/45.43 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.43 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.43 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4:
% 273.74/45.43 nat] : ! [v5: nat] : ( ~ (times_times_nat(v3, v4) = v5) | ~ (nat_1(v2) =
% 273.74/45.43 v3) | ~ (nat_1(v1) = v4) | ~ int(v2) | ~ int(v1) | ? [v6: bool] : ?
% 273.74/45.43 [v7: int] : ? [v8: nat] : ((v8 = v5 & nat_1(v7) = v5 &
% 273.74/45.43 times_times_int(v2, v1) = v7 & nat(v5) & int(v7)) | (hAPP_int_bool(v0,
% 273.74/45.43 v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 273.74/45.43
% 273.74/45.43 (fact_954_Nat__Transfer_Otransfer__nat__int__functions_I2_J)
% 273.74/45.43 fun_int_fun_int_bool(ord_less_eq_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.43 fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0
% 273.74/45.43 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.43 bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4)
% 273.74/45.43 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] :
% 273.74/45.43 ? [v6: nat] : ? [v7: nat] : ? [v8: int] : (times_times_nat(v5, v6) = v7
% 273.74/45.43 & nat_1(v8) = v7 & nat_1(v2) = v5 & nat_1(v1) = v6 & times_times_int(v2,
% 273.74/45.43 v1) = v8 & nat(v7) & nat(v6) & nat(v5) & int(v8))))
% 273.74/45.43
% 273.74/45.43 (fact_956_nat__le__eq__zle)
% 273.74/45.43 fun_nat_fun_nat_bool(ord_less_eq_nat) & fun_int_fun_int_bool(ord_less_eq_int)
% 273.74/45.43 & fun_int_fun_int_bool(ord_less_int) & int(zero_zero_int) & ? [v0:
% 273.74/45.43 fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 273.74/45.43 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v1)
% 273.74/45.43 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: nat] : ! [v5:
% 273.74/45.43 fun_nat_bool] : ! [v6: nat] : ! [v7: bool] : ( ~ (nat_1(v3) = v4) | ~
% 273.74/45.43 (nat_1(v2) = v6) | ~ (hAPP_n1699378549t_bool(ord_less_eq_nat, v4) = v5) |
% 273.74/45.43 ~ (hAPP_nat_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ? [v8: bool]
% 273.74/45.43 : ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool] :
% 273.74/45.43 ((hAPP_int_bool(v1, v2) = v9 & hAPP_int_bool(v0, v3) = v8 & bool(v9) &
% 273.74/45.43 bool(v8) & ~ hBOOL(v9) & ~ hBOOL(v8)) | (( ~ hBOOL(v7) |
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v10 &
% 273.74/45.43 hAPP_int_bool(v10, v2) = v11 & fun_int_bool(v10) & bool(v11) &
% 273.74/45.43 hBOOL(v11))) & (hBOOL(v7) |
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v10 &
% 273.74/45.43 hAPP_int_bool(v10, v2) = v11 & fun_int_bool(v10) & bool(v11) & ~
% 273.74/45.43 hBOOL(v11)))))))
% 273.74/45.43
% 273.74/45.43 (fact_958_nat__mult__2)
% 273.74/45.43 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.43 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.74/45.43 & ! [v3: nat] : ! [v4: nat] : ( ~ (times_times_nat(v2, v3) = v4) | ~
% 273.74/45.43 nat(v3) | (plus_plus_nat(v3, v3) = v4 & nat(v4))))
% 273.74/45.43
% 273.74/45.43 (fact_959_nat__mult__2__right)
% 273.74/45.43 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.43 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.74/45.43 & ! [v3: nat] : ! [v4: nat] : ( ~ (times_times_nat(v3, v2) = v4) | ~
% 273.74/45.43 nat(v3) | (plus_plus_nat(v3, v3) = v4 & nat(v4))))
% 273.74/45.43
% 273.74/45.43 (fact_962_four__x__squared)
% 273.74/45.43 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: real] : ?
% 273.74/45.43 [v4: nat] : ? [v5: real] : (number267125858f_real(v2) = v3 &
% 273.74/45.43 number267125858f_real(v1) = v5 & bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) =
% 273.74/45.43 v1 & number_number_of_nat(v1) = v4 & real(v5) & real(v3) & nat(v4) & int(v2)
% 273.74/45.43 & int(v1) & int(v0) & ! [v6: real] : ! [v7: real] : ( ~
% 273.74/45.43 (times_times_real(v5, v6) = v7) | ~ real(v6) | ? [v8: fun_nat_real] : ?
% 273.74/45.43 [v9: real] : ? [v10: real] : ? [v11: fun_nat_real] :
% 273.74/45.43 (times_times_real(v3, v9) = v10 & power_power_real(v7) = v11 &
% 273.74/45.43 power_power_real(v6) = v8 & hAPP_nat_real(v11, v4) = v10 &
% 273.74/45.43 hAPP_nat_real(v8, v4) = v9 & fun_nat_real(v11) & fun_nat_real(v8) &
% 273.74/45.43 real(v10) & real(v9))))
% 273.74/45.43
% 273.74/45.43 (fact_963_two__realpow__ge__one)
% 273.74/45.43 fun_re413263731l_bool(ord_less_eq_real) & real(one_one_real) & int(pls) & ?
% 273.74/45.43 [v0: fun_real_bool] : ? [v1: int] : ? [v2: int] : ? [v3: real] : ? [v4:
% 273.74/45.43 fun_nat_real] : (hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = v0
% 273.74/45.43 & number267125858f_real(v2) = v3 & power_power_real(v3) = v4 & bit1(pls) =
% 273.74/45.43 v1 & bit0(v1) = v2 & fun_real_bool(v0) & fun_nat_real(v4) & real(v3) &
% 273.74/45.43 int(v2) & int(v1) & ! [v5: nat] : ! [v6: real] : ( ~ (hAPP_nat_real(v4,
% 273.74/45.43 v5) = v6) | ~ nat(v5) | ? [v7: bool] : (hAPP_real_bool(v0, v6) = v7
% 273.74/45.43 & bool(v7) & hBOOL(v7))))
% 273.74/45.43
% 273.74/45.43 (fact_965_zspecial__product)
% 273.74/45.43 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.43 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.74/45.43 & ! [v3: int] : ! [v4: int] : ! [v5: fun_nat_int] : ! [v6: int] : !
% 273.74/45.43 [v7: fun_nat_int] : ! [v8: int] : ! [v9: int] : ( ~ (minus_minus_int(v6,
% 273.74/45.43 v8) = v9) | ~ (power_power_int(v4) = v7) | ~ (power_power_int(v3) =
% 273.74/45.43 v5) | ~ (hAPP_nat_int(v7, v2) = v8) | ~ (hAPP_nat_int(v5, v2) = v6) |
% 273.74/45.43 ~ int(v4) | ~ int(v3) | ? [v10: int] : ? [v11: int] :
% 273.74/45.43 (minus_minus_int(v3, v4) = v11 & times_times_int(v10, v11) = v9 &
% 273.74/45.43 plus_plus_int(v3, v4) = v10 & int(v11) & int(v10) & int(v9))))
% 273.74/45.43
% 273.74/45.43 (fact_966_diff__square)
% 273.74/45.43 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.43 bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0)
% 273.74/45.43 & ! [v3: nat] : ! [v4: nat] : ! [v5: fun_nat_nat] : ! [v6: nat] : !
% 273.74/45.43 [v7: fun_nat_nat] : ! [v8: nat] : ! [v9: nat] : ( ~ (minus_minus_nat(v6,
% 273.74/45.43 v8) = v9) | ~ (power_power_nat(v4) = v7) | ~ (power_power_nat(v3) =
% 273.74/45.43 v5) | ~ (hAPP_nat_nat(v7, v2) = v8) | ~ (hAPP_nat_nat(v5, v2) = v6) |
% 273.74/45.43 ~ nat(v4) | ~ nat(v3) | ? [v10: nat] : ? [v11: nat] :
% 273.74/45.43 (times_times_nat(v10, v11) = v9 & minus_minus_nat(v3, v4) = v11 &
% 273.74/45.43 plus_plus_nat(v3, v4) = v10 & nat(v11) & nat(v10) & nat(v9))))
% 273.74/45.43
% 273.74/45.43 (fact_967_zdiff__power3)
% 273.74/45.43 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 273.74/45.43 int] : ? [v5: nat] : (number_number_of_int(v1) = v3 & bit1(v0) = v1 &
% 273.74/45.43 bit1(pls) = v0 & bit0(v0) = v4 & number_number_of_nat(v4) = v5 &
% 273.74/45.43 number_number_of_nat(v1) = v2 & nat(v5) & nat(v2) & int(v4) & int(v3) &
% 273.74/45.43 int(v1) & int(v0) & ! [v6: int] : ! [v7: int] : ! [v8: fun_nat_int] : !
% 273.74/45.43 [v9: int] : ! [v10: int] : ! [v11: int] : ! [v12: int] : ! [v13: int] :
% 273.74/45.43 ! [v14: int] : ! [v15: fun_nat_int] : ! [v16: int] : ! [v17: int] : !
% 273.74/45.43 [v18: int] : ! [v19: int] : ! [v20: int] : ( ~ (minus_minus_int(v18, v19)
% 273.74/45.43 = v20) | ~ (minus_minus_int(v9, v12) = v13) | ~ (times_times_int(v14,
% 273.74/45.43 v16) = v17) | ~ (times_times_int(v11, v7) = v12) | ~
% 273.74/45.43 (times_times_int(v3, v10) = v11) | ~ (times_times_int(v3, v6) = v14) | ~
% 273.74/45.43 (power_power_int(v7) = v15) | ~ (power_power_int(v6) = v8) | ~
% 273.74/45.43 (hAPP_nat_int(v15, v5) = v16) | ~ (hAPP_nat_int(v15, v2) = v19) | ~
% 273.74/45.43 (hAPP_nat_int(v8, v5) = v10) | ~ (hAPP_nat_int(v8, v2) = v9) | ~
% 273.74/45.43 (plus_plus_int(v13, v17) = v18) | ~ int(v7) | ~ int(v6) | ? [v21: int]
% 273.74/45.43 : ? [v22: fun_nat_int] : (minus_minus_int(v6, v7) = v21 &
% 273.74/45.43 power_power_int(v21) = v22 & hAPP_nat_int(v22, v2) = v20 &
% 273.74/45.43 fun_nat_int(v22) & int(v21) & int(v20))))
% 273.74/45.43
% 273.74/45.43 (fact_968_zdiff__power2)
% 273.74/45.43 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 273.74/45.43 (number_number_of_int(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.43 number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) & int(v0) & !
% 273.74/45.43 [v4: int] : ! [v5: int] : ! [v6: fun_nat_int] : ! [v7: int] : ! [v8:
% 273.74/45.43 int] : ! [v9: int] : ! [v10: int] : ! [v11: fun_nat_int] : ! [v12:
% 273.74/45.43 int] : ! [v13: int] : ( ~ (minus_minus_int(v7, v9) = v10) | ~
% 273.74/45.43 (times_times_int(v8, v5) = v9) | ~ (times_times_int(v3, v4) = v8) | ~
% 273.74/45.43 (power_power_int(v5) = v11) | ~ (power_power_int(v4) = v6) | ~
% 273.74/45.43 (hAPP_nat_int(v11, v2) = v12) | ~ (hAPP_nat_int(v6, v2) = v7) | ~
% 273.74/45.43 (plus_plus_int(v10, v12) = v13) | ~ int(v5) | ~ int(v4) | ? [v14: int]
% 273.74/45.43 : ? [v15: fun_nat_int] : (minus_minus_int(v4, v5) = v14 &
% 273.74/45.43 power_power_int(v14) = v15 & hAPP_nat_int(v15, v2) = v13 &
% 273.74/45.43 fun_nat_int(v15) & int(v14) & int(v13))))
% 273.74/45.43
% 273.74/45.43 (fact_969_zdiv__mono2__neg__lemma)
% 273.74/45.43 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.43 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.43 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 273.74/45.43 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.43 int] : ! [v6: int] : ! [v7: int] : ! [v8: fun_int_bool] : ! [v9: bool]
% 273.74/45.43 : ! [v10: bool] : ! [v11: bool] : ! [v12: fun_int_bool] : ! [v13: bool]
% 273.74/45.43 : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v12) | ~
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_int, v4) = v8) | ~ (hAPP_int_bool(v12,
% 273.74/45.43 v3) = v13) | ~ (hAPP_int_bool(v8, v2) = v9) | ~ (hAPP_int_bool(v1,
% 273.74/45.43 v5) = v11) | ~ (hAPP_int_bool(v0, v7) = v10) | ~ int(v7) | ~
% 273.74/45.43 int(v6) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~
% 273.74/45.43 hBOOL(v11) | ~ hBOOL(v10) | ~ hBOOL(v9) | hBOOL(v13) | ? [v14: int] :
% 273.74/45.43 ? [v15: int] : ? [v16: int] : ? [v17: int] : ? [v18: fun_int_bool] : ?
% 273.74/45.43 [v19: bool] : ? [v20: fun_int_bool] : ? [v21: bool] :
% 273.74/45.43 ((times_times_int(v5, v6) = v16 & plus_plus_int(v16, v7) = v17 & int(v17)
% 273.74/45.43 & int(v16) & (( ~ (v17 = v15) & times_times_int(v2, v3) = v14 &
% 273.74/45.43 plus_plus_int(v14, v4) = v15 & int(v15) & int(v14)) |
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_int, v17) = v18 &
% 273.74/45.43 hAPP_int_bool(v18, zero_zero_int) = v19 & fun_int_bool(v18) &
% 273.74/45.43 bool(v19) & ~ hBOOL(v19)))) |
% 273.74/45.43 (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v20 & hAPP_int_bool(v20,
% 273.74/45.43 v2) = v21 & fun_int_bool(v20) & bool(v21) & ~ hBOOL(v21)))))
% 273.74/45.43
% 273.74/45.43 (fact_971_zdiv__mono2__lemma)
% 273.74/45.44 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.44 int(zero_zero_int) & ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.44 hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 & fun_int_bool(v1)
% 273.74/45.44 & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 273.74/45.44 int] : ! [v6: int] : ! [v7: int] : ! [v8: fun_int_bool] : ! [v9: bool]
% 273.74/45.44 : ! [v10: bool] : ! [v11: fun_int_bool] : ! [v12: bool] : ! [v13:
% 273.74/45.44 fun_int_bool] : ! [v14: bool] : ( ~
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v11) | ~
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v13) | ~
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_int, v7) = v8) | ~ (hAPP_int_bool(v13,
% 273.74/45.44 v6) = v14) | ~ (hAPP_int_bool(v11, v2) = v12) | ~ (hAPP_int_bool(v8,
% 273.74/45.44 v5) = v9) | ~ (hAPP_int_bool(v0, v4) = v10) | ~ int(v7) | ~ int(v6)
% 273.74/45.44 | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ hBOOL(v12) | ~
% 273.74/45.44 hBOOL(v10) | ~ hBOOL(v9) | hBOOL(v14) | ? [v15: int] : ? [v16: int] :
% 273.74/45.44 ? [v17: int] : ? [v18: int] : ? [v19: bool] : ? [v20: bool] :
% 273.74/45.44 ((times_times_int(v5, v6) = v17 & plus_plus_int(v17, v7) = v18 & int(v18)
% 273.74/45.44 & int(v17) & (( ~ (v18 = v16) & times_times_int(v2, v3) = v15 &
% 273.74/45.44 plus_plus_int(v15, v4) = v16 & int(v16) & int(v15)) |
% 273.74/45.44 (hAPP_int_bool(v0, v18) = v19 & bool(v19) & ~ hBOOL(v19)))) |
% 273.74/45.44 (hAPP_int_bool(v1, v5) = v20 & bool(v20) & ~ hBOOL(v20)))))
% 273.74/45.44
% 273.74/45.44 (fact_972_unique__quotient__lemma)
% 273.74/45.44 fun_int_fun_int_bool(ord_less_eq_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.44 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.44 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 273.74/45.44 : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: fun_int_bool] : !
% 273.74/45.44 [v9: int] : ! [v10: int] : ! [v11: bool] : ( ~ (times_times_int(v1, v4) =
% 273.74/45.44 v9) | ~ (times_times_int(v1, v2) = v6) | ~
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_eq_int, v7) = v8) | ~ (plus_plus_int(v9,
% 273.74/45.44 v5) = v10) | ~ (plus_plus_int(v6, v3) = v7) | ~ (hAPP_int_bool(v8,
% 273.74/45.44 v10) = v11) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~
% 273.74/45.44 int(v1) | ~ hBOOL(v11) | ? [v12: bool] : ? [v13: fun_int_bool] : ?
% 273.74/45.44 [v14: bool] : ? [v15: fun_int_bool] : ? [v16: bool] : ? [v17:
% 273.74/45.44 fun_int_bool] : ? [v18: bool] :
% 273.74/45.44 ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v17 & hAPP_int_bool(v17,
% 273.74/45.44 v4) = v18 & fun_int_bool(v17) & bool(v18) & hBOOL(v18)) |
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_int, v5) = v15 & hAPP_int_bool(v15, v1)
% 273.74/45.44 = v16 & fun_int_bool(v15) & bool(v16) & ~ hBOOL(v16)) |
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_int, v3) = v13 & hAPP_int_bool(v13, v1)
% 273.74/45.44 = v14 & fun_int_bool(v13) & bool(v14) & ~ hBOOL(v14)) |
% 273.74/45.44 (hAPP_int_bool(v0, v3) = v12 & bool(v12) & ~ hBOOL(v12)))))
% 273.74/45.44
% 273.74/45.44 (fact_973_xy)
% 273.74/45.44 fun_nat_int(semiri1621563631at_int) & nat(n) & int(y) & int(x) & int(m) &
% 273.74/45.44 int(pls) & int(one_one_int) & ? [v0: fun_nat_int] : ? [v1: int] : ? [v2:
% 273.74/45.44 int] : ? [v3: nat] : ? [v4: int] : ? [v5: fun_nat_int] : ? [v6: int] :
% 273.74/45.44 ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ?
% 273.74/45.44 [v12: int] : ? [v13: int] : (times_times_int(v11, v13) = v7 &
% 273.74/45.44 times_times_int(v9, m) = v10 & number_number_of_int(v8) = v9 & bit1(pls) =
% 273.74/45.44 v1 & bit0(v2) = v8 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.74/45.44 power_power_int(y) = v5 & power_power_int(x) = v0 & hAPP_nat_int(v5, v3) =
% 273.74/45.44 v6 & hAPP_nat_int(v0, v3) = v4 & hAPP_nat_int(semiri1621563631at_int, n) =
% 273.74/45.44 v12 & plus_plus_int(v10, one_one_int) = v11 & plus_plus_int(v4, v6) = v7 &
% 273.74/45.44 plus_plus_int(one_one_int, v12) = v13 & fun_nat_int(v5) & fun_nat_int(v0) &
% 273.74/45.44 nat(v3) & int(v13) & int(v12) & int(v11) & int(v10) & int(v9) & int(v8) &
% 273.74/45.44 int(v7) & int(v6) & int(v4) & int(v2) & int(v1))
% 273.74/45.44
% 273.74/45.44 (fact_974_Int2_Oaux__1)
% 273.74/45.44 fun_int_fun_int_bool(ord_less_int) & int(pls) & ? [v0: int] : ? [v1: int] :
% 273.74/45.44 ? [v2: int] : ? [v3: fun_int_bool] : ? [v4: nat] : (number_number_of_int(v1)
% 273.74/45.44 = v2 & bit1(pls) = v0 & bit0(v0) = v1 & number_number_of_nat(v1) = v4 &
% 273.74/45.44 hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & fun_int_bool(v3) & nat(v4) &
% 273.74/45.44 int(v2) & int(v1) & int(v0) & ! [v5: int] : ! [v6: bool] : ( ~
% 273.74/45.44 (hAPP_int_bool(v3, v5) = v6) | ~ int(v5) | ~ hBOOL(v6) | ? [v7: nat] :
% 273.74/45.44 ? [v8: nat] : ? [v9: int] : (minus_minus_int(v5, v2) = v9 & nat_1(v9) =
% 273.74/45.44 v8 & nat_1(v5) = v7 & minus_minus_nat(v7, v4) = v8 & nat(v8) & nat(v7) &
% 273.74/45.44 int(v9))))
% 273.74/45.44
% 273.74/45.44 (fact_975_Int2_Oaux__2)
% 273.74/45.44 fun_nat_fun_nat_bool(ord_less_nat) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.44 nat(zero_zero_nat) & int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: int] :
% 273.74/45.44 ? [v3: fun_int_bool] : ? [v4: fun_nat_bool] :
% 273.74/45.44 (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v4 &
% 273.74/45.44 number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.44 hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & fun_nat_bool(v4) &
% 273.74/45.44 fun_int_bool(v3) & int(v2) & int(v1) & int(v0) & ! [v5: int] : ! [v6:
% 273.74/45.44 bool] : ( ~ (hAPP_int_bool(v3, v5) = v6) | ~ int(v5) | ~ hBOOL(v6) | ?
% 273.74/45.44 [v7: int] : ? [v8: nat] : ? [v9: bool] : (minus_minus_int(v5, v2) = v7 &
% 273.74/45.44 nat_1(v7) = v8 & hAPP_nat_bool(v4, v8) = v9 & nat(v8) & int(v7) &
% 273.74/45.44 bool(v9) & hBOOL(v9))))
% 273.74/45.44
% 273.74/45.44 (fact_976__096_B_Bthesis_O_A_I_B_Bt_O_As_____A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_)
% 273.74/45.44 int(s) & int(m) & int(pls) & int(one_one_int) & ? [v0: fun_nat_int] : ? [v1:
% 273.74/45.44 int] : ? [v2: int] : ? [v3: nat] : ? [v4: int] : ? [v5: int] : ? [v6:
% 273.74/45.44 int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: int] :
% 273.74/45.44 (times_times_int(v9, v10) = v5 & times_times_int(v7, m) = v8 &
% 273.74/45.44 number_number_of_int(v6) = v7 & bit1(pls) = v1 & bit0(v2) = v6 & bit0(v1) =
% 273.74/45.44 v2 & number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 273.74/45.44 hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v8, one_one_int) = v9 &
% 273.74/45.44 plus_plus_int(v4, one_one_int) = v5 & fun_nat_int(v0) & nat(v3) & int(v10) &
% 273.74/45.44 int(v9) & int(v8) & int(v7) & int(v6) & int(v5) & int(v4) & int(v2) &
% 273.74/45.44 int(v1))
% 273.74/45.44
% 273.74/45.44 (fact_983_zprime__2)
% 273.74/45.44 fun_int_bool(zprime) & int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: int] :
% 273.74/45.44 ? [v3: bool] : (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) =
% 273.74/45.44 v1 & hAPP_int_bool(zprime, v2) = v3 & int(v2) & int(v1) & int(v0) & bool(v3)
% 273.74/45.44 & hBOOL(v3))
% 273.74/45.44
% 273.74/45.44 (fact_985__0964_A_K_Am_A_L_A1_Advd_As_____A_094_A2_A_L_A1_096)
% 273.74/45.44 fun_int_fun_int_bool(dvd_dvd_int) & int(s) & int(m) & int(pls) &
% 273.74/45.44 int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 273.74/45.44 ? [v4: int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: fun_nat_int] :
% 273.74/45.44 ? [v8: nat] : ? [v9: int] : ? [v10: int] : ? [v11: bool] :
% 273.74/45.44 (times_times_int(v3, m) = v4 & number_number_of_int(v2) = v3 & bit1(pls) = v0
% 273.74/45.44 & bit0(v1) = v2 & bit0(v0) = v1 & number_number_of_nat(v1) = v8 &
% 273.74/45.44 power_power_int(s) = v7 & hAPP_i1948725293t_bool(dvd_dvd_int, v5) = v6 &
% 273.74/45.44 hAPP_nat_int(v7, v8) = v9 & plus_plus_int(v9, one_one_int) = v10 &
% 273.74/45.44 plus_plus_int(v4, one_one_int) = v5 & hAPP_int_bool(v6, v10) = v11 &
% 273.74/45.44 fun_nat_int(v7) & fun_int_bool(v6) & nat(v8) & int(v10) & int(v9) & int(v5)
% 273.74/45.44 & int(v4) & int(v3) & int(v2) & int(v1) & int(v0) & bool(v11) & hBOOL(v11))
% 273.74/45.44
% 273.74/45.44 (fact_986_real__sum__squared__expand)
% 273.74/45.44 int(pls) & ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: real] :
% 273.74/45.44 (number267125858f_real(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 273.74/45.44 number_number_of_nat(v1) = v2 & real(v3) & nat(v2) & int(v1) & int(v0) & !
% 273.74/45.44 [v4: real] : ! [v5: real] : ! [v6: fun_nat_real] : ! [v7: real] : ! [v8:
% 273.74/45.44 fun_nat_real] : ! [v9: real] : ! [v10: real] : ! [v11: real] : ! [v12:
% 273.74/45.44 real] : ! [v13: real] : ( ~ (times_times_real(v11, v5) = v12) | ~
% 273.74/45.44 (times_times_real(v3, v4) = v11) | ~ (power_power_real(v5) = v8) | ~
% 273.74/45.44 (power_power_real(v4) = v6) | ~ (hAPP_nat_real(v8, v2) = v9) | ~
% 273.74/45.44 (hAPP_nat_real(v6, v2) = v7) | ~ (plus_plus_real(v10, v12) = v13) | ~
% 273.74/45.44 (plus_plus_real(v7, v9) = v10) | ~ real(v5) | ~ real(v4) | ? [v14:
% 273.74/45.44 real] : ? [v15: fun_nat_real] : (power_power_real(v14) = v15 &
% 273.74/45.44 hAPP_nat_real(v15, v2) = v13 & plus_plus_real(v4, v5) = v14 &
% 273.74/45.44 fun_nat_real(v15) & real(v14) & real(v13))))
% 273.74/45.44
% 273.74/45.44 (fact_987__096s_____A_094_A2_A_N_A_N1_A_061_As_____A_094_A2_A_L_A1_096)
% 273.74/45.44 int(s) & int(pls) & int(min) & int(one_one_int) & ? [v0: fun_nat_int] : ?
% 273.74/45.44 [v1: int] : ? [v2: int] : ? [v3: nat] : ? [v4: int] : ? [v5: int] : ?
% 273.74/45.44 [v6: int] : (minus_minus_int(v4, v5) = v6 & number_number_of_int(min) = v5 &
% 273.74/45.44 bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.74/45.44 power_power_int(s) = v0 & hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v4,
% 273.74/45.44 one_one_int) = v6 & fun_nat_int(v0) & nat(v3) & int(v6) & int(v5) &
% 273.74/45.44 int(v4) & int(v2) & int(v1))
% 273.74/45.44
% 273.74/45.44 (fact_988__0964_A_K_Am_A_L_A1_Advd_As_____A_094_A2_A_N_A_N1_096)
% 273.74/45.44 fun_int_fun_int_bool(dvd_dvd_int) & int(s) & int(m) & int(pls) & int(min) &
% 273.74/45.44 int(one_one_int) & ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 273.74/45.44 ? [v4: int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: fun_nat_int] :
% 273.74/45.44 ? [v8: nat] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: bool] :
% 273.74/45.44 (minus_minus_int(v9, v10) = v11 & times_times_int(v3, m) = v4 &
% 273.74/45.44 number_number_of_int(v2) = v3 & number_number_of_int(min) = v10 & bit1(pls)
% 273.74/45.44 = v0 & bit0(v1) = v2 & bit0(v0) = v1 & number_number_of_nat(v1) = v8 &
% 273.74/45.44 power_power_int(s) = v7 & hAPP_i1948725293t_bool(dvd_dvd_int, v5) = v6 &
% 273.74/45.44 hAPP_nat_int(v7, v8) = v9 & plus_plus_int(v4, one_one_int) = v5 &
% 273.74/45.44 hAPP_int_bool(v6, v11) = v12 & fun_nat_int(v7) & fun_int_bool(v6) & nat(v8)
% 273.74/45.44 & int(v11) & int(v10) & int(v9) & int(v5) & int(v4) & int(v3) & int(v2) &
% 273.74/45.44 int(v1) & int(v0) & bool(v12) & hBOOL(v12))
% 273.74/45.44
% 273.74/45.44 (fact_989__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096)
% 273.74/45.44 int(m) & int(pls) & int(min) & int(one_one_int) & ? [v0: int] : ? [v1: int]
% 273.74/45.44 : ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 273.74/45.44 (legendre(v0, v6) = one_one_int & times_times_int(v4, m) = v5 &
% 273.74/45.44 number_number_of_int(v3) = v4 & number_number_of_int(min) = v0 & bit1(pls) =
% 273.74/45.44 v1 & bit0(v2) = v3 & bit0(v1) = v2 & plus_plus_int(v5, one_one_int) = v6 &
% 273.74/45.44 int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) & int(v0))
% 273.74/45.44
% 273.74/45.44 (fact_98_Pls__def)
% 273.74/45.44 pls = zero_zero_int & int(zero_zero_int)
% 273.74/45.44
% 273.74/45.44 (fact_995_zdvd__not__zless)
% 273.74/45.44 fun_int_fun_int_bool(dvd_dvd_int) & fun_int_fun_int_bool(ord_less_int) &
% 273.74/45.44 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 & fun_int_bool(v0) &
% 273.74/45.44 ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~
% 273.74/45.44 (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~ (hAPP_int_bool(v3, v2)
% 273.74/45.44 = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ? [v5: bool] : ? [v6:
% 273.74/45.44 fun_int_bool] : ? [v7: bool] : ((hAPP_i1948725293t_bool(ord_less_int,
% 273.74/45.44 v2) = v6 & hAPP_int_bool(v6, v1) = v7 & fun_int_bool(v6) & bool(v7)
% 273.74/45.44 & ~ hBOOL(v7)) | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~
% 273.74/45.44 hBOOL(v5)))))
% 273.74/45.44
% 273.74/45.44 (fact_997_zdvd__antisym__nonneg)
% 273.74/45.44 fun_int_fun_int_bool(dvd_dvd_int) & fun_int_fun_int_bool(ord_less_eq_int) &
% 273.74/45.44 int(zero_zero_int) & ? [v0: fun_int_bool] :
% 273.74/45.44 (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 273.74/45.44 fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4:
% 273.74/45.44 bool] : (v2 = v1 | ~ (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0,
% 273.74/45.44 v1) = v4) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ?
% 273.74/45.44 [v5: fun_int_bool] : ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool]
% 273.74/45.44 : ((hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v5 & hAPP_int_bool(v5, v1) =
% 273.74/45.44 v6 & fun_int_bool(v5) & bool(v6) & ~ hBOOL(v6)) |
% 273.74/45.44 (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v7 & hAPP_int_bool(v7, v2) =
% 273.74/45.44 v8 & fun_int_bool(v7) & bool(v8) & ~ hBOOL(v8)))))
% 273.74/45.44
% 273.74/45.44 (fact_9_zero__power2)
% 273.74/45.44 real(zero_zero_real) & int(pls) & ? [v0: fun_nat_real] : ? [v1: int] : ?
% 273.74/45.44 [v2: int] : ? [v3: nat] : (power_power_real(zero_zero_real) = v0 &
% 273.74/45.44 hAPP_nat_real(v0, v3) = zero_zero_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.44 number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2) &
% 273.74/45.44 int(v1))
% 273.74/45.44
% 273.74/45.44 (function-axioms)
% 273.74/45.45 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: bool] :
% 273.74/45.45 (v1 = v0 | ~ (if_int(v4, v3, v2) = v1) | ~ (if_int(v4, v3, v2) = v0)) & !
% 273.74/45.45 [v0: nat] : ! [v1: nat] : ! [v2: nat] : ! [v3: nat] : ! [v4: bool] : (v1 =
% 273.74/45.45 v0 | ~ (if_nat(v4, v3, v2) = v1) | ~ (if_nat(v4, v3, v2) = v0)) & ! [v0:
% 273.74/45.45 fun_int_bool] : ! [v1: fun_int_bool] : ! [v2: int] : ! [v3: int] : (v1 =
% 273.74/45.45 v0 | ~ (zcong(v3, v2) = v1) | ~ (zcong(v3, v2) = v0)) & ! [v0: int] : !
% 273.74/45.45 [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0 | ~ (legendre(v3, v2) =
% 273.74/45.45 v1) | ~ (legendre(v3, v2) = v0)) & ! [v0: real] : ! [v1: real] : !
% 273.74/45.45 [v2: real] : ! [v3: real] : (v1 = v0 | ~ (times_times_real(v3, v2) = v1) |
% 273.74/45.45 ~ (times_times_real(v3, v2) = v0)) & ! [v0: nat] : ! [v1: nat] : ! [v2:
% 273.74/45.45 nat] : ! [v3: nat] : (v1 = v0 | ~ (times_times_nat(v3, v2) = v1) | ~
% 273.74/45.45 (times_times_nat(v3, v2) = v0)) & ! [v0: real] : ! [v1: real] : ! [v2:
% 273.74/45.45 real] : ! [v3: real] : (v1 = v0 | ~ (minus_minus_real(v3, v2) = v1) | ~
% 273.74/45.45 (minus_minus_real(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 273.74/45.45 int] : ! [v3: int] : (v1 = v0 | ~ (minus_minus_int(v3, v2) = v1) | ~
% 273.74/45.45 (minus_minus_int(v3, v2) = v0)) & ! [v0: nat] : ! [v1: nat] : ! [v2: nat]
% 273.74/45.45 : ! [v3: nat] : (v1 = v0 | ~ (minus_minus_nat(v3, v2) = v1) | ~
% 273.74/45.45 (minus_minus_nat(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 273.74/45.45 : ! [v3: int] : (v1 = v0 | ~ (times_times_int(v3, v2) = v1) | ~
% 273.74/45.45 (times_times_int(v3, v2) = v0)) & ! [v0: fun_real_bool] : ! [v1:
% 273.74/45.45 fun_real_bool] : ! [v2: real] : ! [v3: fun_re413263731l_bool] : (v1 = v0 |
% 273.74/45.45 ~ (hAPP_r1134773055l_bool(v3, v2) = v1) | ~ (hAPP_r1134773055l_bool(v3,
% 273.74/45.45 v2) = v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2: real] : ! [v3:
% 273.74/45.45 fun_real_bool] : (v1 = v0 | ~ (hAPP_real_bool(v3, v2) = v1) | ~
% 273.74/45.45 (hAPP_real_bool(v3, v2) = v0)) & ! [v0: fun_nat_bool] : ! [v1:
% 273.74/45.45 fun_nat_bool] : ! [v2: nat] : ! [v3: fun_nat_fun_nat_bool] : (v1 = v0 | ~
% 273.74/45.45 (hAPP_n1699378549t_bool(v3, v2) = v1) | ~ (hAPP_n1699378549t_bool(v3, v2) =
% 273.74/45.45 v0)) & ! [v0: bool] : ! [v1: bool] : ! [v2: nat] : ! [v3:
% 273.74/45.45 fun_nat_bool] : (v1 = v0 | ~ (hAPP_nat_bool(v3, v2) = v1) | ~
% 273.74/45.45 (hAPP_nat_bool(v3, v2) = v0)) & ! [v0: nat] : ! [v1: nat] : ! [v2: nat] :
% 273.74/45.45 ! [v3: nat] : (v1 = v0 | ~ (plus_plus_nat(v3, v2) = v1) | ~
% 273.74/45.45 (plus_plus_nat(v3, v2) = v0)) & ! [v0: nat] : ! [v1: nat] : ! [v2: nat] :
% 273.74/45.45 ! [v3: fun_nat_nat] : (v1 = v0 | ~ (hAPP_nat_nat(v3, v2) = v1) | ~
% 273.74/45.45 (hAPP_nat_nat(v3, v2) = v0)) & ! [v0: real] : ! [v1: real] : ! [v2: nat]
% 273.74/45.45 : ! [v3: fun_nat_real] : (v1 = v0 | ~ (hAPP_nat_real(v3, v2) = v1) | ~
% 273.74/45.45 (hAPP_nat_real(v3, v2) = v0)) & ! [v0: real] : ! [v1: real] : ! [v2:
% 273.74/45.45 real] : ! [v3: real] : (v1 = v0 | ~ (plus_plus_real(v3, v2) = v1) | ~
% 273.74/45.45 (plus_plus_real(v3, v2) = v0)) & ! [v0: fun_int_bool] : ! [v1:
% 273.74/45.45 fun_int_bool] : ! [v2: int] : ! [v3: fun_int_fun_int_bool] : (v1 = v0 | ~
% 273.74/45.45 (hAPP_i1948725293t_bool(v3, v2) = v1) | ~ (hAPP_i1948725293t_bool(v3, v2) =
% 273.74/45.45 v0)) & ! [v0: int] : ! [v1: int] : ! [v2: nat] : ! [v3: fun_nat_int] :
% 273.74/45.45 (v1 = v0 | ~ (hAPP_nat_int(v3, v2) = v1) | ~ (hAPP_nat_int(v3, v2) = v0)) &
% 273.74/45.45 ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0 | ~
% 273.74/45.45 (plus_plus_int(v3, v2) = v1) | ~ (plus_plus_int(v3, v2) = v0)) & ! [v0:
% 273.74/45.45 bool] : ! [v1: bool] : ! [v2: int] : ! [v3: fun_int_bool] : (v1 = v0 | ~
% 273.74/45.45 (hAPP_int_bool(v3, v2) = v1) | ~ (hAPP_int_bool(v3, v2) = v0)) & ! [v0:
% 273.74/45.45 real] : ! [v1: real] : ! [v2: real] : (v1 = v0 | ~ (abs_abs_real(v2) =
% 273.74/45.45 v1) | ~ (abs_abs_real(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 273.74/45.45 int] : (v1 = v0 | ~ (abs_abs_int(v2) = v1) | ~ (abs_abs_int(v2) = v0)) &
% 273.74/45.45 ! [v0: fun_int_bool] : ! [v1: fun_int_bool] : ! [v2: int] : (v1 = v0 | ~
% 273.74/45.45 (quadRes(v2) = v1) | ~ (quadRes(v2) = v0)) & ! [v0: nat] : ! [v1: nat] :
% 273.74/45.45 ! [v2: int] : (v1 = v0 | ~ (nat_1(v2) = v1) | ~ (nat_1(v2) = v0)) & ! [v0:
% 273.74/45.45 int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (succ(v2) = v1) | ~
% 273.74/45.45 (succ(v2) = v0)) & ! [v0: real] : ! [v1: real] : ! [v2: int] : (v1 = v0 |
% 273.74/45.45 ~ (number267125858f_real(v2) = v1) | ~ (number267125858f_real(v2) = v0)) &
% 273.74/45.45 ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~
% 273.74/45.45 (number_number_of_int(v2) = v1) | ~ (number_number_of_int(v2) = v0)) & !
% 273.74/45.45 [v0: fun_nat_nat] : ! [v1: fun_nat_nat] : ! [v2: nat] : (v1 = v0 | ~
% 273.74/45.45 (power_power_nat(v2) = v1) | ~ (power_power_nat(v2) = v0)) & ! [v0:
% 273.74/45.45 fun_nat_real] : ! [v1: fun_nat_real] : ! [v2: real] : (v1 = v0 | ~
% 273.74/45.45 (power_power_real(v2) = v1) | ~ (power_power_real(v2) = v0)) & ! [v0: int]
% 273.74/45.45 : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (bit1(v2) = v1) | ~ (bit1(v2) =
% 273.74/45.45 v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~
% 273.74/45.45 (bit0(v2) = v1) | ~ (bit0(v2) = v0)) & ! [v0: nat] : ! [v1: nat] : !
% 273.74/45.45 [v2: int] : (v1 = v0 | ~ (number_number_of_nat(v2) = v1) | ~
% 273.74/45.45 (number_number_of_nat(v2) = v0)) & ! [v0: fun_nat_int] : ! [v1:
% 273.74/45.45 fun_nat_int] : ! [v2: int] : (v1 = v0 | ~ (power_power_int(v2) = v1) | ~
% 273.74/45.45 (power_power_int(v2) = v0))
% 273.74/45.45
% 273.74/45.45 Further assumptions not needed in the proof:
% 273.74/45.45 --------------------------------------------
% 273.74/45.45 fact_1001_rel__simps_I13_J, fact_1005_rel__simps_I26_J,
% 273.74/45.45 fact_1006_rel__simps_I30_J, fact_1008_rel__simps_I23_J,
% 273.74/45.45 fact_100_add__Pls__right, fact_1010_rel__simps_I28_J,
% 273.74/45.45 fact_1013_rel__simps_I42_J, fact_1014_rel__simps_I45_J,
% 273.74/45.45 fact_1015_rel__simps_I40_J, fact_1016_rel__simps_I37_J, fact_1017_Bit1__Min,
% 273.74/45.45 fact_1018_rel__simps_I43_J, fact_1019_rel__simps_I47_J, fact_101_add__Pls,
% 273.74/45.45 fact_1020_succ__Min, fact_1021_diff__bin__simps_I2_J,
% 273.74/45.45 fact_1023_zpower__zdvd__prop1, fact_1025_rel__simps_I11_J,
% 273.74/45.45 fact_1026_diff__bin__simps_I4_J, fact_1027_diff__bin__simps_I6_J,
% 273.74/45.45 fact_1028_diff__bin__simps_I5_J, fact_102_add__Bit0__Bit0,
% 273.74/45.45 fact_1031_zprime__power__zdvd__cancel__right,
% 273.74/45.45 fact_1032_zprime__power__zdvd__cancel__left, fact_1033_zpower__zdvd__prop2,
% 273.74/45.45 fact_103_Bit0__def, fact_1040_divides__mul__r, fact_1041_divides__mul__l,
% 273.74/45.45 fact_1042_dvd__diff__nat, fact_1043_zcong__eq__zdvd__prop,
% 273.74/45.45 fact_1044_zcong__zero__equiv__div, fact_1045_nat__dvd__not__less,
% 273.74/45.45 fact_1046_divides__ge, fact_1047_nat__mult__dvd__cancel__disj_H,
% 273.74/45.45 fact_1048_dvd__diffD, fact_1049_dvd__diffD1, fact_104_zadd__0__right,
% 273.74/45.45 fact_1050_divides__rev, fact_1051_divides__exp2,
% 273.74/45.45 fact_1052_Nat__Transfer_Otransfer__int__nat__relations_I4_J,
% 273.74/45.45 fact_1053_zdvd__int, fact_1054_divides__exp, fact_1055_nat__dvd__1__iff__1,
% 273.74/45.45 fact_1056_dvd__reduce, fact_1057_divides__add__revr, fact_1058_zcong__id,
% 273.74/45.45 fact_1059_zcong__shift, fact_105_zadd__0, fact_1060_zcong__eq__trans,
% 273.74/45.45 fact_1061_zcong__zpower, fact_1064_zcong__zmult__prop1,
% 273.74/45.45 fact_1065_zcong__zmult__prop2, fact_1067_zcong__zmult__prop3,
% 273.74/45.45 fact_1068_dvd__imp__le, fact_1069_dvd__mult__cancel,
% 273.74/45.45 fact_1072_divides__div__not, fact_1073_dvd__mult__cancel1,
% 273.74/45.45 fact_1074_dvd__mult__cancel2, fact_1076_power__dvd__imp__le,
% 273.74/45.45 fact_107_semiring__numeral__0__eq__0, fact_1084_dvd_Oorder__refl,
% 273.74/45.45 fact_1086_dvd_Oless__asym, fact_1087_dvd_Oless__trans,
% 273.74/45.45 fact_1088_dvd_Oless__asym_H, fact_1089_dvd_Oless__le__trans,
% 273.74/45.45 fact_108_semiring__numeral__0__eq__0, fact_1090_dvd_Oord__less__eq__trans,
% 273.74/45.45 fact_1091_dvd_Oless__imp__triv, fact_1092_dvd_Oless__imp__not__eq2,
% 273.74/45.45 fact_1093_dvd_Oless__imp__not__eq, fact_1094_dvd_Oless__imp__not__less,
% 273.74/45.45 fact_1095_dvd_Oless__imp__le, fact_1096_dvd_Oless__not__sym,
% 273.74/45.45 fact_1097_dvd_Oless__imp__neq, fact_1098_dvd_Ole__less__trans,
% 273.74/45.45 fact_1099_dvd_Oord__eq__less__trans, fact_1100_dvd_Oorder__trans,
% 273.74/45.45 fact_1101_dvd_Oantisym, fact_1102_dvd__antisym,
% 273.74/45.45 fact_1103_dvd_Oord__le__eq__trans, fact_1104_dvd_Oord__eq__le__trans,
% 273.74/45.45 fact_1105_dvd_Ole__neq__trans, fact_1106_dvd_Ole__imp__less__or__eq,
% 273.74/45.45 fact_1107_dvd_Oantisym__conv, fact_1108_dvd_Oeq__refl,
% 273.74/45.45 fact_1109_dvd_Oneq__le__trans, fact_110_number__of__Pls,
% 273.74/45.45 fact_1110_dvd_Oless__le__not__le, fact_1111_dvd_Oless__le,
% 273.74/45.45 fact_1112_dvd_Ole__less, fact_1113_dvd_Oeq__iff, fact_1114_dvd_Oless__irrefl,
% 273.74/45.45 fact_1115_divides__antisym, fact_1121_Little__Fermat, fact_1123_zcong__trans,
% 273.74/45.45 fact_1124_zcong__refl, fact_1125_zcong__sym, fact_1126_IntPrimes_Ozcong__zero,
% 273.74/45.45 fact_1127_zcong__1, fact_1128_zcong__zmult__self, fact_1129_zcong__scalar,
% 273.74/45.45 fact_112_semiring__norm_I112_J, fact_1130_zcong__scalar2,
% 273.74/45.45 fact_1131_zcong__zmult, fact_1132_zcong__zadd, fact_1133_zcong__zdiff,
% 273.74/45.45 fact_1135_xzgcda__linear__aux1, fact_1136_zcong__iff__lin, fact_1137_zcong__def,
% 273.74/45.45 fact_1138_norR__mem__unique__aux, fact_1144_zdiff__int__split,
% 273.74/45.45 fact_1148_zdvd__mono, fact_114_add__numeral__0,
% 273.74/45.45 fact_1150_inv__not__p__minus__1__aux, fact_1151_zcong__zpower__zmult,
% 273.74/45.45 fact_1155_dvd__imp__le__int, fact_1156_nat__abs__mult__distrib,
% 273.74/45.45 fact_1157_zdvd__antisym__abs, fact_1158_zdvd1__eq, fact_1160_abs__zmult__eq__1,
% 273.74/45.45 fact_1162_zabs__less__one__iff, fact_1166_zdvd__mult__cancel1,
% 273.74/45.45 fact_1167_int__dvd__iff, fact_1168_dvd__int__iff,
% 273.74/45.45 fact_116_add__numeral__0__right, fact_1176_abs__add__one__not__less__self,
% 273.74/45.45 fact_1177_abs__add__one__gt__zero, fact_1179_ex__least__nat__less,
% 273.74/45.45 fact_1181_nat__less__add__iff1, fact_1182_nat__less__add__iff2,
% 273.74/45.45 fact_1183_nat__mult__eq__cancel__disj, fact_1184_left__add__mult__distrib,
% 273.74/45.45 fact_1185_nat__mult__less__cancel1, fact_1186_nat__mult__eq__cancel1,
% 273.74/45.45 fact_1187_nat__mult__dvd__cancel__disj, fact_1188_nat__mult__dvd__cancel1,
% 273.74/45.45 fact_1189_nat__mult__le__cancel1, fact_118_power__eq__0__iff__number__of,
% 273.74/45.45 fact_1190_nat__le__add__iff1, fact_1191_nat__diff__add__eq1,
% 273.74/45.45 fact_1192_nat__eq__add__iff1, fact_1193_nat__le__add__iff2,
% 273.74/45.45 fact_1194_nat__diff__add__eq2, fact_1195_nat__eq__add__iff2,
% 273.74/45.45 fact_119_power__eq__0__iff__number__of, fact_120_add__number__of__left,
% 273.74/45.45 fact_121_add__number__of__left, fact_122_add__number__of__eq,
% 273.74/45.45 fact_123_add__number__of__eq, fact_124_number__of__add,
% 273.74/45.45 fact_125_number__of__add, fact_126_add__Bit1__Bit0, fact_127_add__Bit0__Bit1,
% 273.74/45.45 fact_128_Bit1__def, fact_129_odd__nonzero, fact_130_number__of__int,
% 273.74/45.45 fact_132_number__of__int, fact_141_number__of__Bit0, fact_142_number__of__Bit0,
% 273.74/45.45 fact_143_number__of__Bit1, fact_144_number__of__Bit1,
% 273.74/45.45 fact_155_of__nat__0__less__iff, fact_156_of__nat__0__less__iff,
% 273.74/45.45 fact_158_one__less__power, fact_159_one__less__power, fact_160_power__0__left,
% 273.74/45.45 fact_161_power__0__left, fact_162_power__0__left,
% 273.74/45.45 fact_164_power__strict__decreasing, fact_165_power__strict__decreasing,
% 273.74/45.45 fact_168_zero__less__two, fact_169_int__gr__induct,
% 273.74/45.45 fact_170_transfer__int__nat__numerals_I1_J, fact_171_tn0, fact_172_less__zeroE,
% 273.74/45.45 fact_173_real__zero__not__eq__one, fact_174_less__not__refl,
% 273.74/45.45 fact_175_not__add__less1, fact_176_not__add__less2, fact_177_number__of__is__id,
% 273.74/45.45 fact_178_nat__neq__iff, fact_179_nat__add__commute,
% 273.74/45.45 fact_180_nat__add__left__commute, fact_181_nat__add__assoc,
% 273.74/45.45 fact_182_nat__add__left__cancel, fact_183_nat__add__right__cancel,
% 273.74/45.45 fact_184_nat__add__left__cancel__less, fact_185_linorder__neqE__nat,
% 273.74/45.45 fact_186_less__irrefl__nat, fact_187_less__not__refl2,
% 273.74/45.45 fact_188_less__not__refl3, fact_189_trans__less__add1,
% 273.74/45.45 fact_190_trans__less__add2, fact_191_add__less__mono1, fact_192_add__less__mono,
% 273.74/45.45 fact_193_less__add__eq__less, fact_194_add__lessD1, fact_195_nat__less__cases,
% 273.74/45.45 fact_196_gr0I, fact_197_gr__implies__not0, fact_198_nat__power__less__imp__less,
% 273.74/45.45 fact_199_less__nat__zero__code, fact_200_nat__zero__less__power__iff,
% 273.74/45.45 fact_201_add__gr__0, fact_202_neq0__conv, fact_203_not__less0,
% 273.74/45.45 fact_204_zero__less__power__nat__eq,
% 273.74/45.45 fact_205_Nat__Transfer_Otransfer__int__nat__relations_I2_J,
% 273.74/45.45 fact_206_zero__less__power__nat__eq__number__of, fact_207_zless__int,
% 273.74/45.45 fact_209_linorder__neqE__linordered__idom,
% 273.74/45.45 fact_210_linorder__neqE__linordered__idom, fact_211_add__eq__self__zero,
% 273.74/45.45 fact_212_add__is__0, fact_213_Nat_Oadd__0__right, fact_214_plus__nat_Oadd__0,
% 273.74/45.45 fact_215_power__one__right, fact_216_power__one__right,
% 273.74/45.45 fact_217_power__one__right, fact_218_of__nat__eq__iff,
% 273.74/45.45 fact_219_of__nat__eq__iff, fact_220_of__nat__eq__iff,
% 273.74/45.45 fact_221_Nat__Transfer_Otransfer__int__nat__relations_I1_J,
% 273.74/45.45 fact_222_int__if__cong, fact_225_one__neq__zero, fact_226_one__neq__zero,
% 273.74/45.45 fact_227_one__neq__zero, fact_228_zero__neq__one, fact_229_zero__neq__one,
% 273.74/45.45 fact_22_power__0__left__number__of, fact_230_zero__neq__one,
% 273.74/45.45 fact_231_field__power__not__zero, fact_232_field__power__not__zero,
% 273.74/45.45 fact_233_power__one, fact_234_power__one, fact_235_power__one,
% 273.74/45.45 fact_236_of__nat__less__iff, fact_237_of__nat__less__iff,
% 273.74/45.45 fact_238_of__nat__less__iff, fact_239_less__imp__of__nat__less,
% 273.74/45.45 fact_23_power__0__left__number__of, fact_240_less__imp__of__nat__less,
% 273.74/45.45 fact_241_less__imp__of__nat__less, fact_242_of__nat__less__imp__less,
% 273.74/45.45 fact_243_of__nat__less__imp__less, fact_244_of__nat__less__imp__less,
% 273.74/45.45 fact_245_of__nat__add, fact_246_of__nat__add, fact_247_of__nat__add,
% 273.74/45.45 fact_249_of__nat__1, fact_24_power__0__left__number__of, fact_250_of__nat__1,
% 273.74/45.45 fact_251_of__nat__power, fact_252_of__nat__power, fact_253_of__nat__power,
% 273.74/45.45 fact_255_Nat__Transfer_Otransfer__int__nat__functions_I1_J,
% 273.74/45.45 fact_256_Nat__Transfer_Otransfer__int__nat__functions_I4_J,
% 273.74/45.45 fact_258_pos__add__strict, fact_259_pos__add__strict,
% 273.74/45.45 fact_261_not__one__less__zero, fact_262_not__one__less__zero,
% 273.74/45.45 fact_264_zero__less__one, fact_265_zero__less__one, fact_267_zero__less__power,
% 273.74/45.45 fact_268_zero__less__power, fact_269_less__add__one, fact_270_less__add__one,
% 273.74/45.45 fact_271_less__add__one, fact_273_power__inject__exp,
% 273.74/45.45 fact_274_power__inject__exp, fact_276_power__strict__increasing__iff,
% 273.74/45.45 fact_277_power__strict__increasing__iff, fact_279_power__less__imp__less__exp,
% 273.74/45.45 fact_280_power__less__imp__less__exp, fact_282_power__strict__increasing,
% 273.74/45.45 fact_283_power__strict__increasing, fact_284_power__eq__0__iff,
% 273.74/45.45 fact_285_power__eq__0__iff, fact_286_power__eq__0__iff,
% 273.74/45.45 fact_287_of__nat__less__0__iff, fact_288_of__nat__less__0__iff,
% 273.74/45.45 fact_289_of__nat__less__0__iff, fact_290_power__0, fact_291_power__0,
% 273.74/45.45 fact_292_power__0, fact_293_of__nat__0, fact_294_of__nat__0,
% 273.74/45.45 fact_295_of__nat__0, fact_298_less__imp__add__positive, fact_299_exp__eq__1,
% 273.74/45.45 fact_29_n0,
% 273.74/45.45 fact_300_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 273.74/45.45 fact_301_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 273.74/45.45 fact_302_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 273.74/45.45 fact_304_zero__less__double__add__iff__zero__less__single__add,
% 273.74/45.45 fact_305_double__add__less__zero__iff__single__add__less__zero,
% 273.74/45.45 fact_306_double__add__less__zero__iff__single__add__less__zero,
% 273.74/45.45 fact_308_add__pos__pos, fact_309_add__pos__pos, fact_30_zless__linear,
% 273.74/45.45 fact_310_add__neg__neg, fact_311_add__neg__neg, fact_312_add__neg__neg,
% 273.74/45.45 fact_313_zero__reorient, fact_314_zero__reorient, fact_315_zero__reorient,
% 273.74/45.45 fact_316_add__right__imp__eq, fact_317_add__right__imp__eq,
% 273.74/45.45 fact_318_add__right__imp__eq, fact_319_add__imp__eq,
% 273.74/45.45 fact_31_less__number__of__int__code, fact_320_add__imp__eq,
% 273.74/45.45 fact_321_add__imp__eq, fact_322_add__left__imp__eq, fact_323_add__left__imp__eq,
% 273.74/45.45 fact_324_add__left__imp__eq,
% 273.74/45.45 fact_325_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 273.74/45.45 fact_326_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 273.74/45.45 fact_327_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 273.74/45.45 fact_328_add__right__cancel, fact_329_add__right__cancel,
% 273.74/45.45 fact_32_plus__numeral__code_I9_J, fact_330_add__right__cancel,
% 273.74/45.45 fact_331_add__left__cancel, fact_332_add__left__cancel,
% 273.74/45.45 fact_333_add__left__cancel,
% 273.74/45.45 fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 273.74/45.45 fact_335_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 273.74/45.45 fact_336_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 273.74/45.45 fact_337_ab__semigroup__add__class_Oadd__ac_I1_J,
% 273.74/45.45 fact_338_ab__semigroup__add__class_Oadd__ac_I1_J,
% 273.74/45.45 fact_339_ab__semigroup__add__class_Oadd__ac_I1_J, fact_33_less__number__of,
% 273.74/45.45 fact_340_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 273.74/45.45 fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 273.74/45.45 fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 273.74/45.45 fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 273.74/45.45 fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 273.74/45.45 fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 273.74/45.45 fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 273.74/45.45 fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 273.74/45.45 fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 273.74/45.45 fact_34_less__number__of,
% 273.74/45.45 fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 273.74/45.45 fact_351_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 273.74/45.45 fact_352_one__reorient, fact_353_one__reorient, fact_354_one__reorient,
% 273.74/45.45 fact_355_add__0__iff, fact_356_add__0__iff, fact_357_add__0__iff,
% 273.74/45.45 fact_358_add_Ocomm__neutral, fact_359_add_Ocomm__neutral,
% 273.74/45.45 fact_360_add_Ocomm__neutral,
% 273.74/45.45 fact_361_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 273.74/45.45 fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 273.74/45.45 fact_363_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 273.74/45.45 fact_364_add__0__right, fact_365_add__0__right, fact_366_add__0__right,
% 273.74/45.45 fact_367_double__zero__sym, fact_368_double__zero__sym, fact_369_add__0,
% 273.74/45.45 fact_36_zpower__int, fact_370_add__0, fact_371_add__0,
% 273.74/45.45 fact_372_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 273.74/45.45 fact_373_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 273.74/45.45 fact_374_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 273.74/45.45 fact_375_add__0__left, fact_376_add__0__left, fact_377_add__0__left,
% 273.74/45.45 fact_378_add__less__imp__less__left, fact_379_add__less__imp__less__left,
% 273.74/45.45 fact_37_int__power, fact_380_add__less__imp__less__left,
% 273.74/45.45 fact_381_add__less__imp__less__right, fact_382_add__less__imp__less__right,
% 273.74/45.45 fact_383_add__less__imp__less__right, fact_384_add__strict__mono,
% 273.74/45.45 fact_385_add__strict__mono, fact_386_add__strict__mono,
% 273.74/45.45 fact_387_add__strict__left__mono, fact_388_add__strict__left__mono,
% 273.74/45.45 fact_389_add__strict__left__mono, fact_38_zadd__int__left,
% 273.74/45.45 fact_390_add__strict__right__mono, fact_391_add__strict__right__mono,
% 273.74/45.45 fact_392_add__strict__right__mono, fact_393_add__less__cancel__left,
% 273.74/45.45 fact_394_add__less__cancel__left, fact_395_add__less__cancel__left,
% 273.74/45.45 fact_396_add__less__cancel__right, fact_397_add__less__cancel__right,
% 273.74/45.45 fact_398_add__less__cancel__right,
% 273.74/45.45 fact_399_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,
% 273.74/45.45 fact_39_zadd__int,
% 273.74/45.45 fact_400_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,
% 273.74/45.45 fact_401_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,
% 273.74/45.45 fact_402_nat__power__eq__0__iff, fact_403_realpow__pos__nth__unique,
% 273.74/45.45 fact_404_realpow__pos__nth, fact_405_tpos, fact_406_nat__number__of__add__1,
% 273.74/45.45 fact_407_nat__1__add__number__of, fact_410_tn,
% 273.74/45.45 fact_411__096_B_Bthesis_O_A_I_B_Btn_O_A_091_124_Atn_A_061_Anat_At_A_N_A1_059_A0_,
% 273.74/45.45 fact_413_le__iff__diff__le__0,
% 273.74/45.45 fact_414_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 273.74/45.45 fact_415_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 273.74/45.45 fact_416_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 273.74/45.45 fact_417_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 273.74/45.45 fact_418_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 273.74/45.45 fact_419_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 273.74/45.45 fact_41_nat__number__of__Pls,
% 273.74/45.45 fact_420_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 273.74/45.45 fact_421_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 273.74/45.45 fact_422_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 273.74/45.45 fact_423_ab__semigroup__mult__class_Omult__ac_I1_J,
% 273.74/45.45 fact_424_ab__semigroup__mult__class_Omult__ac_I1_J,
% 273.74/45.45 fact_425_ab__semigroup__mult__class_Omult__ac_I1_J,
% 273.74/45.45 fact_426_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 273.74/45.45 fact_427_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 273.74/45.45 fact_428_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 273.74/45.45 fact_429_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 273.74/45.45 fact_42_semiring__norm_I113_J,
% 273.74/45.45 fact_430_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 273.74/45.45 fact_431_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 273.74/45.45 fact_432_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 273.74/45.45 fact_433_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 273.74/45.45 fact_434_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 273.74/45.45 fact_435_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 273.74/45.45 fact_436_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 273.74/45.45 fact_437_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 273.74/45.45 fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 273.74/45.45 fact_439_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 273.74/45.45 fact_440_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 273.74/45.45 fact_441_diff__eq__diff__eq, fact_442_diff__eq__diff__eq,
% 273.74/45.45 fact_444_diff__eq__diff__less__eq, fact_448_zle__refl, fact_449_zmult__commute,
% 273.74/45.45 fact_44_int__0, fact_450_zle__linear, fact_451_zmult__assoc,
% 273.74/45.45 fact_452_zle__trans, fact_453_zle__antisym, fact_454_le__number__of,
% 273.74/45.45 fact_455_le__number__of, fact_456_number__of__mult, fact_457_number__of__mult,
% 273.74/45.45 fact_458_arith__simps_I32_J, fact_459_arith__simps_I32_J,
% 273.74/45.45 fact_460_mult__number__of__left, fact_461_mult__number__of__left,
% 273.74/45.45 fact_463_right__diff__distrib__number__of,
% 273.74/45.45 fact_464_right__diff__distrib__number__of,
% 273.74/45.45 fact_465_left__diff__distrib__number__of,
% 273.74/45.45 fact_466_left__diff__distrib__number__of, fact_467_number__of__diff,
% 273.74/45.45 fact_468_number__of__diff, fact_469_of__nat__mult,
% 273.74/45.45 fact_46_less__int__code_I16_J, fact_470_of__nat__mult, fact_471_of__nat__mult,
% 273.74/45.45 fact_472_of__nat__le__iff, fact_473_of__nat__le__iff, fact_474_of__nat__le__iff,
% 273.74/45.45 fact_475_diff__commute, fact_476_nat__if__cong, fact_477_split__mult__neg__le,
% 273.74/45.45 fact_478_split__mult__neg__le, fact_47_rel__simps_I17_J,
% 273.74/45.45 fact_480_split__mult__pos__le, fact_482_mult__mono, fact_483_mult__mono,
% 273.74/45.45 fact_485_mult__mono_H, fact_486_mult__mono_H, fact_488_mult__left__mono__neg,
% 273.74/45.45 fact_489_mult__left__mono__neg, fact_490_mult__right__mono__neg,
% 273.74/45.45 fact_491_mult__right__mono__neg, fact_492_comm__mult__left__mono,
% 273.74/45.45 fact_493_comm__mult__left__mono, fact_495_mult__left__mono,
% 273.74/45.45 fact_496_mult__left__mono, fact_498_mult__right__mono,
% 273.74/45.45 fact_499_mult__right__mono, fact_49_less__int__code_I13_J,
% 273.74/45.45 fact_501_mult__nonpos__nonpos, fact_503_mult__nonpos__nonneg,
% 273.74/45.45 fact_504_mult__nonpos__nonneg, fact_506_mult__nonneg__nonpos2,
% 273.74/45.45 fact_507_mult__nonneg__nonpos2, fact_509_mult__nonneg__nonpos,
% 273.74/45.45 fact_50_rel__simps_I14_J, fact_510_mult__nonneg__nonpos,
% 273.74/45.45 fact_514_mult__nonneg__nonneg, fact_515_mult__nonneg__nonneg,
% 273.74/45.45 fact_517_le__add__iff1, fact_518_le__add__iff1, fact_519_eq__add__iff1,
% 273.74/45.45 fact_51_zadd__strict__right__mono, fact_520_eq__add__iff1,
% 273.74/45.45 fact_521_le__add__iff2, fact_522_le__add__iff2, fact_523_eq__add__iff2,
% 273.74/45.45 fact_524_eq__add__iff2, fact_525_mult__diff__mult, fact_526_mult__diff__mult,
% 273.74/45.45 fact_527_mult__le__0__iff, fact_529_zero__le__mult__iff,
% 273.74/45.45 fact_52_add__nat__number__of, fact_533_zero__le__square,
% 273.74/45.45 fact_535_less__add__iff1, fact_536_less__add__iff1, fact_537_less__add__iff2,
% 273.74/45.45 fact_538_less__add__iff2, fact_539_real__squared__diff__one__factored,
% 273.74/45.45 fact_540_real__squared__diff__one__factored, fact_541_mult__left__le__imp__le,
% 273.74/45.45 fact_542_mult__left__le__imp__le, fact_544_mult__right__le__imp__le,
% 273.74/45.45 fact_545_mult__right__le__imp__le, fact_547_mult__less__imp__less__left,
% 273.74/45.45 fact_548_mult__less__imp__less__left, fact_550_mult__left__less__imp__less,
% 273.74/45.45 fact_551_mult__left__less__imp__less, fact_553_mult__less__imp__less__right,
% 273.74/45.45 fact_554_mult__less__imp__less__right, fact_556_mult__right__less__imp__less,
% 273.74/45.45 fact_557_mult__right__less__imp__less, fact_559_mult__le__less__imp__less,
% 273.74/45.45 fact_560_mult__le__less__imp__less, fact_562_mult__less__le__imp__less,
% 273.74/45.45 fact_563_mult__less__le__imp__less, fact_565_mult__strict__mono_H,
% 273.74/45.45 fact_566_mult__strict__mono_H, fact_568_mult__strict__mono,
% 273.74/45.45 fact_569_mult__strict__mono, fact_56_eq__number__of,
% 273.74/45.45 fact_571_mult__le__cancel__left__neg, fact_572_mult__le__cancel__left__neg,
% 273.74/45.45 fact_573_mult__le__cancel__left__pos, fact_575_sum__squares__ge__zero,
% 273.74/45.45 fact_577_sum__squares__le__zero__iff, fact_578_sum__squares__le__zero__iff,
% 273.74/45.45 fact_579_mult__right__le__one__le, fact_57_eq__number__of,
% 273.74/45.45 fact_581_mult__left__le__one__le, fact_583_nat__le__0, fact_584_nat__0__iff,
% 273.74/45.45 fact_585_power__increasing, fact_586_power__increasing,
% 273.74/45.45 fact_587_power__increasing, fact_58_number__of__reorient,
% 273.74/45.45 fact_591_right__minus__eq, fact_592_right__minus__eq,
% 273.74/45.45 fact_593_eq__iff__diff__eq__0, fact_594_eq__iff__diff__eq__0,
% 273.74/45.45 fact_595_diff__self, fact_596_diff__self, fact_597_diff__0__right,
% 273.74/45.45 fact_598_diff__0__right, fact_59_number__of__reorient,
% 273.74/45.45 fact_600_diff__eq__diff__less, fact_601_add__diff__add, fact_602_add__diff__add,
% 273.74/45.45 fact_603_add__diff__cancel, fact_604_add__diff__cancel,
% 273.74/45.45 fact_605_diff__add__cancel, fact_606_diff__add__cancel,
% 273.74/45.45 fact_607_mult__zero__left, fact_608_mult__zero__left, fact_609_mult__zero__left,
% 273.74/45.45 fact_60_number__of__reorient, fact_610_mult__zero__right,
% 273.74/45.45 fact_611_mult__zero__right, fact_612_mult__zero__right,
% 273.74/45.45 fact_613_mult__eq__0__iff, fact_614_mult__eq__0__iff,
% 273.74/45.45 fact_615_no__zero__divisors, fact_616_no__zero__divisors,
% 273.74/45.45 fact_617_no__zero__divisors, fact_618_divisors__zero, fact_619_divisors__zero,
% 273.74/45.45 fact_61_rel__simps_I51_J, fact_620_divisors__zero,
% 273.74/45.45 fact_621_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 273.74/45.45 fact_622_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 273.74/45.45 fact_623_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 273.74/45.45 fact_624_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 273.74/45.45 fact_625_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 273.74/45.45 fact_626_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 273.74/45.45 fact_627_diffs0__imp__equal, fact_628_diff__self__eq__0,
% 273.74/45.45 fact_629_minus__nat_Odiff__0, fact_62_rel__simps_I48_J, fact_630_diff__0__eq__0,
% 273.74/45.45 fact_631_comm__semiring__class_Odistrib,
% 273.74/45.45 fact_632_comm__semiring__class_Odistrib,
% 273.74/45.45 fact_633_comm__semiring__class_Odistrib, fact_634_combine__common__factor,
% 273.74/45.45 fact_635_combine__common__factor, fact_636_combine__common__factor,
% 273.74/45.45 fact_637_crossproduct__eq, fact_638_crossproduct__eq, fact_639_crossproduct__eq,
% 273.74/45.45 fact_63_even__less__0__iff,
% 273.74/45.45 fact_640_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 273.74/45.45 fact_641_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 273.74/45.45 fact_642_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 273.74/45.45 fact_643_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 273.74/45.45 fact_644_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 273.74/45.45 fact_645_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 273.74/45.45 fact_646_crossproduct__noteq, fact_647_crossproduct__noteq,
% 273.74/45.45 fact_648_crossproduct__noteq,
% 273.74/45.45 fact_649_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 273.74/45.45 fact_64_even__less__0__iff,
% 273.74/45.45 fact_650_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 273.74/45.45 fact_651_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 273.74/45.45 fact_652_nat__int, fact_653_mult_Ocomm__neutral, fact_654_mult_Ocomm__neutral,
% 273.74/45.45 fact_655_mult_Ocomm__neutral,
% 273.74/45.45 fact_656_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 273.74/45.45 fact_657_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 273.74/45.45 fact_658_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 273.74/45.45 fact_659_mult__1__right, fact_65_zadd__assoc, fact_660_mult__1__right,
% 273.74/45.45 fact_661_mult__1__right, fact_662_mult__1, fact_663_mult__1, fact_664_mult__1,
% 273.74/45.45 fact_665_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 273.74/45.45 fact_666_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 273.74/45.45 fact_667_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 273.74/45.45 fact_668_mult__1__left, fact_669_mult__1__left, fact_66_zadd__left__commute,
% 273.74/45.45 fact_670_mult__1__left, fact_671_add__le__imp__le__left,
% 273.74/45.45 fact_672_add__le__imp__le__left, fact_673_add__le__imp__le__left,
% 273.74/45.45 fact_674_add__le__imp__le__right, fact_675_add__le__imp__le__right,
% 273.74/45.45 fact_676_add__le__imp__le__right, fact_677_add__mono, fact_678_add__mono,
% 273.74/45.45 fact_679_add__mono, fact_680_add__left__mono, fact_681_add__left__mono,
% 273.74/45.45 fact_682_add__left__mono, fact_683_add__right__mono, fact_684_add__right__mono,
% 273.74/45.45 fact_685_add__right__mono, fact_686_add__le__cancel__left,
% 273.74/45.45 fact_687_add__le__cancel__left, fact_688_add__le__cancel__left,
% 273.74/45.45 fact_689_add__le__cancel__right, fact_68_int__int__eq,
% 273.74/45.45 fact_690_add__le__cancel__right, fact_691_add__le__cancel__right,
% 273.74/45.45 fact_692_less__imp__diff__less, fact_693_diff__less__mono2,
% 273.74/45.45 fact_694_power__commutes, fact_695_power__commutes, fact_696_power__commutes,
% 273.74/45.45 fact_697_power__mult__distrib, fact_698_power__mult__distrib,
% 273.74/45.45 fact_699_power__mult__distrib, fact_69_less__special_I3_J,
% 273.74/45.45 fact_700_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 273.74/45.45 fact_701_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 273.74/45.45 fact_702_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 273.74/45.45 fact_703_diff__add__inverse2, fact_704_diff__add__inverse,
% 273.74/45.45 fact_705_diff__diff__left, fact_706_Nat_Odiff__cancel, fact_707_diff__cancel2,
% 273.74/45.45 fact_708_mult__Pls, fact_709_mult__Bit0, fact_70_less__special_I3_J,
% 273.74/45.45 fact_710_rel__simps_I34_J, fact_711_less__eq__int__code_I16_J,
% 273.74/45.45 fact_713_rel__simps_I31_J, fact_714_less__eq__int__code_I13_J,
% 273.74/45.45 fact_716_zmult__1, fact_717_zmult__1__right, fact_718_zless__le,
% 273.74/45.45 fact_719_zadd__zmult__distrib2, fact_720_zadd__zmult__distrib,
% 273.74/45.45 fact_721_zadd__left__mono, fact_722_times__numeral__code_I5_J,
% 273.74/45.45 fact_723_less__eq__number__of__int__code, fact_724_convex__bound__le,
% 273.74/45.45 fact_730_le__special_I3_J, fact_731_le__special_I3_J,
% 273.74/45.45 fact_732_power__decreasing, fact_733_power__decreasing,
% 273.74/45.45 fact_735_power__increasing__iff, fact_736_power__increasing__iff,
% 273.74/45.45 fact_738_power__le__imp__le__exp, fact_739_power__le__imp__le__exp,
% 273.74/45.45 fact_73_rel__simps_I12_J, fact_748_convex__bound__lt,
% 273.74/45.45 fact_74_less__int__code_I15_J, fact_755_realpow__minus__mult,
% 273.74/45.45 fact_756_realpow__minus__mult, fact_757_realpow__minus__mult,
% 273.74/45.45 fact_758_less__iff__diff__less__0, fact_75_rel__simps_I16_J,
% 273.74/45.45 fact_760_transfer__nat__int__numerals_I1_J, fact_761_nat__0,
% 273.74/45.45 fact_762_not__square__less__zero, fact_763_not__square__less__zero,
% 273.74/45.45 fact_764_mult__less__cancel__right__disj, fact_766_nat__number__of,
% 273.74/45.45 fact_767_nat__number__of__def, fact_768_transfer__nat__int__numerals_I2_J,
% 273.74/45.45 fact_769_zero__less__diff, fact_76_rel__simps_I10_J, fact_770_diff__less,
% 273.74/45.45 fact_771_diff__add__0, fact_772_less__diff__conv, fact_773_add__diff__inverse,
% 273.74/45.45 fact_775_rel__simps_I32_J, fact_776_less__eq__int__code_I14_J,
% 273.74/45.45 fact_778_rel__simps_I27_J, fact_783_zadd__zless__mono, fact_789_zle__iff__zadd,
% 273.74/45.45 fact_78_bin__less__0__simps_I4_J, fact_790_zpower__zadd__distrib,
% 273.74/45.45 fact_793_zless__nat__eq__int__zless, fact_794_nat__diff__split__asm,
% 273.74/45.45 fact_795_nat__diff__split, fact_796_eq__0__number__of,
% 273.74/45.45 fact_797_eq__number__of__0, fact_799_rel__simps_I29_J,
% 273.74/45.45 fact_800_rel__simps_I15_J, fact_801_less__int__code_I14_J,
% 273.74/45.45 fact_802_rel__simps_I33_J, fact_803_less__eq__int__code_I15_J,
% 273.74/45.45 fact_804_mult__Bit1, fact_807_int__le__0__conv, fact_809_succ__Bit0,
% 273.74/45.45 fact_80_bin__less__0__simps_I3_J, fact_810_succ__Bit1,
% 273.74/45.45 fact_811_zle__add1__eq__le, fact_812_add1__zle__eq,
% 273.74/45.45 fact_813_zless__imp__add1__zle, fact_814_succ__def, fact_817_split__nat,
% 273.74/45.45 fact_820_zmult__zless__mono2__lemma, fact_821_add__Bit1__Bit1,
% 273.74/45.45 fact_82_zless__add1__eq, fact_834_le0, fact_83_int__less__0__conv,
% 273.74/45.45 fact_843_le__refl, fact_844_le__square, fact_845_le__cube,
% 273.74/45.45 fact_846_nat__mult__commute, fact_847_nat__le__linear,
% 273.74/45.45 fact_848_nat__mult__assoc, fact_849_eq__imp__le, fact_850_mult__le__mono1,
% 273.74/45.45 fact_851_mult__le__mono2, fact_852_le__trans, fact_853_le__antisym,
% 273.74/45.45 fact_854_mult__le__mono, fact_855_real__le__eq__diff,
% 273.74/45.45 fact_856_mult__le__cancel2, fact_857_mult__le__cancel1,
% 273.74/45.45 fact_858_real__mult__le__cancel__iff1, fact_859_real__mult__le__cancel__iff2,
% 273.74/45.45 fact_860_zdiff__int, fact_861_diff__bin__simps_I1_J,
% 273.74/45.45 fact_862_diff__bin__simps_I7_J, fact_863_zdiff__zmult__distrib,
% 273.74/45.45 fact_864_zdiff__zmult__distrib2, fact_865_mult__0, fact_866_mult__0__right,
% 273.74/45.45 fact_867_mult__is__0, fact_868_mult__cancel1, fact_869_mult__cancel2,
% 273.74/45.45 fact_870_less__eq__nat_Osimps_I1_J, fact_871_le__0__eq,
% 273.74/45.45 fact_872_real__mult__left__cancel, fact_873_real__mult__right__cancel,
% 273.74/45.45 fact_874_less__or__eq__imp__le, fact_875_le__neq__implies__less,
% 273.74/45.45 fact_876_less__imp__le__nat, fact_877_le__eq__less__or__eq,
% 273.74/45.45 fact_878_nat__less__le, fact_879_real__less__def, fact_880_less__eq__real__def,
% 273.74/45.45 fact_881_add__mult__distrib, fact_882_add__mult__distrib2, fact_883_add__leE,
% 273.74/45.45 fact_884_add__leD1, fact_885_add__leD2, fact_886_add__le__mono,
% 273.74/45.45 fact_887_add__le__mono1, fact_888_trans__le__add2, fact_889_trans__le__add1,
% 273.74/45.45 fact_88_odd__less__0, fact_890_nat__add__left__cancel__le,
% 273.74/45.45 fact_891_le__iff__add, fact_892_le__add1, fact_893_le__add2,
% 273.74/45.45 fact_894_nat__mult__eq__one, fact_895_nat__mult__eq__1__iff,
% 273.74/45.45 fact_896_nat__mult__1__right, fact_897_nat__1__eq__mult__iff,
% 273.74/45.45 fact_898_nat__mult__1, fact_899_diff__mult__distrib, fact_89_double__eq__0__iff,
% 273.74/45.45 fact_900_diff__mult__distrib2, fact_901_real__mult__1, fact_902_le__diff__iff,
% 273.74/45.45 fact_903_Nat_Odiff__diff__eq, fact_904_eq__diff__iff,
% 273.74/45.45 fact_905_diff__diff__cancel, fact_906_diff__le__mono, fact_907_diff__le__mono2,
% 273.74/45.45 fact_908_Nat_Odiff__le__self, fact_909_real__add__mult__distrib,
% 273.74/45.45 fact_90_double__eq__0__iff, fact_910_zpower__zpower,
% 273.74/45.45 fact_911_real__add__left__mono, fact_912_diff__bin__simps_I10_J,
% 273.74/45.45 fact_913_diff__bin__simps_I9_J, fact_914_diff__bin__simps_I3_J,
% 273.74/45.45 fact_917_mult__less__mono2, fact_918_mult__less__mono1,
% 273.74/45.45 fact_919_mult__less__cancel2, fact_91_rel__simps_I46_J,
% 273.74/45.45 fact_920_mult__less__cancel1, fact_921_nat__0__less__mult__iff,
% 273.74/45.45 fact_922_not__real__square__gt__zero, fact_923_real__mult__less__mono2,
% 273.74/45.45 fact_924_real__mult__order, fact_925_real__mult__less__iff1,
% 273.74/45.45 fact_926_mult__eq__self__implies__10, fact_927_diff__is__0__eq,
% 273.74/45.45 fact_928_diff__is__0__eq_H, fact_929_real__two__squares__add__zero__iff,
% 273.74/45.45 fact_92_rel__simps_I39_J, fact_930_diff__less__mono, fact_931_less__diff__iff,
% 273.74/45.45 fact_932_Nat__Transfer_Otransfer__int__nat__functions_I2_J, fact_933_zmult__int,
% 273.74/45.45 fact_934_int__mult, fact_935_diff__diff__right, fact_936_le__diff__conv,
% 273.74/45.45 fact_937_le__add__diff, fact_938_le__add__diff__inverse,
% 273.74/45.45 fact_939_add__diff__assoc, fact_93_rel__simps_I50_J, fact_940_le__diff__conv2,
% 273.74/45.45 fact_941_le__add__diff__inverse2, fact_942_le__imp__diff__is__add,
% 273.74/45.45 fact_943_diff__add__assoc, fact_944_add__diff__assoc2,
% 273.74/45.45 fact_945_diff__add__assoc2,
% 273.74/45.45 fact_946_Nat__Transfer_Otransfer__int__nat__relations_I3_J, fact_947_zle__int,
% 273.74/45.45 fact_948_is__mult__sum2sq, fact_949_zle__diff1__eq, fact_94_rel__simps_I49_J,
% 273.74/45.45 fact_950_le__nat__number__of, fact_955_mult__eq__if, fact_957_power__eq__if,
% 273.74/45.45 fact_95_rel__simps_I44_J, fact_960_nat__number__of__mult__left,
% 273.74/45.45 fact_961_mult__nat__number__of, fact_964_Euler_Oaux2, fact_96_rel__simps_I38_J,
% 273.74/45.45 fact_970_unique__quotient__lemma__neg, fact_977_real__le__refl,
% 273.74/45.45 fact_978_real__mult__commute, fact_979_real__le__linear, fact_97_Bit0__Pls,
% 273.74/45.45 fact_980_real__mult__assoc, fact_981_real__le__trans,
% 273.74/45.45 fact_982_real__le__antisym, fact_984_Int2_Oaux1, fact_990_zdvd__zdiffD,
% 273.74/45.45 fact_991_zprime__zdvd__zmult__better, fact_992_rel__simps_I24_J,
% 273.74/45.45 fact_993_zdvd__bounds, fact_994_zprime__zdvd__power,
% 273.74/45.45 fact_996_zdvd__mult__cancel, fact_998_zdvd__reduce, fact_999_zdvd__period,
% 273.74/45.45 fact_99_int__0__neq__1, help_If_1_1_If_000tc__Int__Oint_T,
% 273.74/45.45 help_If_1_1_If_000tc__Nat__Onat_T, help_If_2_1_If_000tc__Int__Oint_T,
% 273.74/45.45 help_If_2_1_If_000tc__Nat__Onat_T, help_If_3_1_If_000tc__Int__Oint_T,
% 273.74/45.45 help_If_3_1_If_000tc__Nat__Onat_T
% 273.74/45.45
% 273.74/45.45 Those formulas are unsatisfiable:
% 273.74/45.45 ---------------------------------
% 273.74/45.45
% 273.74/45.45 Begin of proof
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_0_n1pos) implies:
% 273.74/45.47 | (1) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: bool] :
% 273.74/45.47 | (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.47 | hAPP_nat_int(semiri1621563631at_int, n) = v1 &
% 273.74/45.47 | plus_plus_int(one_one_int, v1) = v2 & hAPP_int_bool(v0, v2) = v3 &
% 273.74/45.47 | fun_int_bool(v0) & int(v2) & int(v1) & bool(v3) & hBOOL(v3))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_1_t1) implies:
% 273.74/45.47 | (2) ? [v0: fun_int_bool] : ? [v1: bool] :
% 273.74/45.47 | (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 273.74/45.47 | hAPP_int_bool(v0, t) = v1 & fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_2_sum__power2__eq__zero__iff) implies:
% 273.74/45.47 | (3) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 & bit0(v0)
% 273.74/45.47 | = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) & int(v0) &
% 273.74/45.47 | ! [v3: int] : ! [v4: int] : ! [v5: fun_nat_int] : ! [v6: int] : !
% 273.74/45.47 | [v7: fun_nat_int] : ! [v8: int] : (v4 = zero_zero_int | ~
% 273.74/45.47 | (power_power_int(v4) = v7) | ~ (power_power_int(v3) = v5) | ~
% 273.74/45.47 | (hAPP_nat_int(v7, v2) = v8) | ~ (hAPP_nat_int(v5, v2) = v6) | ~
% 273.74/45.47 | (plus_plus_int(v6, v8) = zero_zero_int) | ~ int(v4) | ~ int(v3))
% 273.74/45.47 | & ! [v3: int] : ! [v4: int] : ! [v5: fun_nat_int] : ! [v6: int] :
% 273.74/45.47 | ! [v7: fun_nat_int] : ! [v8: int] : (v3 = zero_zero_int | ~
% 273.74/45.47 | (power_power_int(v4) = v7) | ~ (power_power_int(v3) = v5) | ~
% 273.74/45.47 | (hAPP_nat_int(v7, v2) = v8) | ~ (hAPP_nat_int(v5, v2) = v6) | ~
% 273.74/45.47 | (plus_plus_int(v6, v8) = zero_zero_int) | ~ int(v4) | ~ int(v3))
% 273.74/45.47 | & ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: int] : (v5 =
% 273.74/45.47 | zero_zero_int | ~ (power_power_int(zero_zero_int) = v3) | ~
% 273.74/45.47 | (hAPP_nat_int(v3, v2) = v4) | ~ (plus_plus_int(v4, v4) = v5)))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_4_one__power2) implies:
% 273.74/45.47 | (4) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.47 | (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.74/45.47 | power_power_int(one_one_int) = v0 & hAPP_nat_int(v0, v3) =
% 273.74/45.47 | one_one_int & fun_nat_int(v0) & nat(v3) & int(v2) & int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_5_one__power2) implies:
% 273.74/45.47 | (5) ? [v0: fun_nat_nat] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.47 | (power_power_nat(one_one_nat) = v0 & hAPP_nat_nat(v0, v3) = one_one_nat
% 273.74/45.47 | & bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.74/45.47 | fun_nat_nat(v0) & nat(v3) & int(v2) & int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_6_one__power2) implies:
% 273.74/45.47 | (6) ? [v0: fun_nat_real] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.47 | (power_power_real(one_one_real) = v0 & hAPP_nat_real(v0, v3) =
% 273.74/45.47 | one_one_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.47 | number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2)
% 273.74/45.47 | & int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_7_zero__power2) implies:
% 273.74/45.47 | (7) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.47 | (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 273.74/45.47 | power_power_int(zero_zero_int) = v0 & hAPP_nat_int(v0, v3) =
% 273.74/45.47 | zero_zero_int & fun_nat_int(v0) & nat(v3) & int(v2) & int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_8_zero__power2) implies:
% 273.74/45.47 | (8) ? [v0: fun_nat_nat] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.47 | (power_power_nat(zero_zero_nat) = v0 & hAPP_nat_nat(v0, v3) =
% 273.74/45.47 | zero_zero_nat & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.47 | number_number_of_nat(v2) = v3 & fun_nat_nat(v0) & nat(v3) & int(v2) &
% 273.74/45.47 | int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_9_zero__power2) implies:
% 273.74/45.47 | (9) ? [v0: fun_nat_real] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 273.74/45.47 | (power_power_real(zero_zero_real) = v0 & hAPP_nat_real(v0, v3) =
% 273.74/45.47 | zero_zero_real & bit1(pls) = v1 & bit0(v1) = v2 &
% 273.74/45.47 | number_number_of_nat(v2) = v3 & fun_nat_real(v0) & nat(v3) & int(v2)
% 273.74/45.47 | & int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_10_zero__eq__power2) implies:
% 273.74/45.47 | (10) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.47 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 273.74/45.47 | int(v0) & ! [v3: int] : ! [v4: fun_nat_int] : (v3 = zero_zero_int
% 273.74/45.47 | | ~ (power_power_int(v3) = v4) | ~ int(v3) | ? [v5: int] : ( ~
% 273.74/45.47 | (v5 = zero_zero_int) & hAPP_nat_int(v4, v2) = v5 & int(v5))) &
% 273.74/45.47 | ! [v3: fun_nat_int] : ( ~ (power_power_int(zero_zero_int) = v3) |
% 273.74/45.47 | hAPP_nat_int(v3, v2) = zero_zero_int))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_11_zero__eq__power2) implies:
% 273.74/45.47 | (11) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 273.74/45.47 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 273.74/45.47 | int(v0) & ! [v3: real] : ! [v4: fun_nat_real] : (v3 =
% 273.74/45.47 | zero_zero_real | ~ (power_power_real(v3) = v4) | ~ real(v3) | ?
% 273.74/45.47 | [v5: real] : ( ~ (v5 = zero_zero_real) & hAPP_nat_real(v4, v2) =
% 273.74/45.47 | v5 & real(v5))) & ! [v3: fun_nat_real] : ( ~
% 273.74/45.47 | (power_power_real(zero_zero_real) = v3) | hAPP_nat_real(v3, v2) =
% 273.74/45.47 | zero_zero_real))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_12_add__special_I2_J) implies:
% 273.74/45.47 | (12) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2: int]
% 273.74/45.47 | : ( ~ (plus_plus_int(v0, v1) = v2) | ~ int(v1) | ? [v3: int] : ?
% 273.74/45.47 | [v4: int] : (number_number_of_int(v2) = v4 &
% 273.74/45.47 | number_number_of_int(v1) = v3 & plus_plus_int(one_one_int, v3) =
% 273.74/45.47 | v4 & int(v4) & int(v3))))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_13_add__special_I2_J) implies:
% 273.74/45.47 | (13) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2: int]
% 273.74/45.47 | : ( ~ (plus_plus_int(v0, v1) = v2) | ~ int(v1) | ? [v3: real] : ?
% 273.74/45.47 | [v4: real] : (number267125858f_real(v2) = v4 &
% 273.74/45.47 | number267125858f_real(v1) = v3 & plus_plus_real(one_one_real,
% 273.74/45.47 | v3) = v4 & real(v4) & real(v3))))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_14_add__special_I3_J) implies:
% 273.74/45.47 | (14) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2: int]
% 273.74/45.47 | : ( ~ (plus_plus_int(v1, v0) = v2) | ~ int(v1) | ? [v3: int] : ?
% 273.74/45.47 | [v4: int] : (number_number_of_int(v2) = v4 &
% 273.74/45.47 | number_number_of_int(v1) = v3 & plus_plus_int(v3, one_one_int) =
% 273.74/45.47 | v4 & int(v4) & int(v3))))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_15_add__special_I3_J) implies:
% 273.74/45.47 | (15) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2: int]
% 273.74/45.47 | : ( ~ (plus_plus_int(v1, v0) = v2) | ~ int(v1) | ? [v3: real] : ?
% 273.74/45.47 | [v4: real] : (number267125858f_real(v2) = v4 &
% 273.74/45.47 | number267125858f_real(v1) = v3 & plus_plus_real(v3,
% 273.74/45.47 | one_one_real) = v4 & real(v4) & real(v3))))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_18_semiring__one__add__one__is__two) implies:
% 273.74/45.47 | (16) ? [v0: int] : ? [v1: int] : ? [v2: int] : (number_number_of_int(v2)
% 273.74/45.47 | = v0 & bit1(pls) = v1 & bit0(v1) = v2 & plus_plus_int(one_one_int,
% 273.74/45.47 | one_one_int) = v0 & int(v2) & int(v1) & int(v0))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_20_semiring__one__add__one__is__two) implies:
% 273.74/45.47 | (17) ? [v0: real] : ? [v1: int] : ? [v2: int] :
% 273.74/45.47 | (number267125858f_real(v2) = v0 & plus_plus_real(one_one_real,
% 273.74/45.47 | one_one_real) = v0 & bit1(pls) = v1 & bit0(v1) = v2 & real(v0) &
% 273.74/45.47 | int(v2) & int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_21_quartic__square__square) implies:
% 273.74/45.47 | (18) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 273.74/45.47 | nat] : (bit1(pls) = v0 & bit0(v1) = v3 & bit0(v0) = v1 &
% 273.74/45.47 | number_number_of_nat(v3) = v4 & number_number_of_nat(v1) = v2 &
% 273.74/45.47 | nat(v4) & nat(v2) & int(v3) & int(v1) & int(v0) & ! [v5: int] : !
% 273.74/45.47 | [v6: fun_nat_int] : ( ~ (power_power_int(v5) = v6) | ~ int(v5) | ?
% 273.74/45.47 | [v7: int] : ? [v8: fun_nat_int] : ? [v9: int] :
% 273.74/45.47 | (power_power_int(v7) = v8 & hAPP_nat_int(v8, v2) = v9 &
% 273.74/45.47 | hAPP_nat_int(v6, v4) = v9 & hAPP_nat_int(v6, v2) = v7 &
% 273.74/45.47 | fun_nat_int(v8) & int(v9) & int(v7))))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_43_int__eq__0__conv) implies:
% 273.74/45.47 | (19) ! [v0: int] : (v0 = zero_zero_int | ~
% 273.74/45.47 | (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = v0))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_45_nat__1__add__1) implies:
% 273.74/45.47 | (20) ? [v0: nat] : ? [v1: int] : ? [v2: int] :
% 273.74/45.47 | (plus_plus_nat(one_one_nat, one_one_nat) = v0 & bit1(pls) = v1 &
% 273.74/45.47 | bit0(v1) = v2 & number_number_of_nat(v2) = v0 & nat(v0) & int(v2) &
% 273.74/45.47 | int(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_48_rel__simps_I2_J) implies:
% 273.74/45.47 | (21) ? [v0: fun_int_bool] : ? [v1: bool] :
% 273.74/45.47 | (hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & hAPP_int_bool(v0,
% 273.74/45.47 | pls) = v1 & fun_int_bool(v0) & bool(v1) & ~ hBOOL(v1))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_71_less__special_I1_J) implies:
% 273.74/45.47 | (22) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 273.74/45.47 | (hAPP_i1948725293t_bool(ord_less_int, pls) = v1 &
% 273.74/45.47 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 273.74/45.47 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] :
% 273.74/45.47 | ( ~ (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 273.74/45.47 | [v4: int] : ? [v5: bool] : (number_number_of_int(v2) = v4 &
% 273.74/45.47 | hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & hBOOL(v5))) &
% 273.74/45.47 | ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) | ~
% 273.74/45.47 | int(v2) | hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 273.74/45.47 | (number_number_of_int(v2) = v4 & hAPP_int_bool(v0, v4) = v5 &
% 273.74/45.47 | int(v4) & bool(v5) & ~ hBOOL(v5))))
% 273.74/45.47 |
% 273.74/45.47 | ALPHA: (fact_72_less__special_I1_J) implies:
% 273.74/45.48 | (23) ? [v0: fun_real_bool] : ? [v1: fun_int_bool] :
% 273.74/45.48 | (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 &
% 273.74/45.48 | hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_real_bool(v0) &
% 273.74/45.48 | fun_int_bool(v1) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.48 | (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4:
% 273.74/45.48 | real] : ? [v5: bool] : (hAPP_real_bool(v0, v4) = v5 &
% 273.74/45.48 | number267125858f_real(v2) = v4 & real(v4) & bool(v5) &
% 273.74/45.48 | hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~
% 273.74/45.48 | (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4:
% 273.74/45.48 | real] : ? [v5: bool] : (hAPP_real_bool(v0, v4) = v5 &
% 273.74/45.48 | number267125858f_real(v2) = v4 & real(v4) & bool(v5) & ~
% 273.74/45.48 | hBOOL(v5))))
% 273.74/45.48 |
% 273.74/45.48 | ALPHA: (fact_77_rel__simps_I4_J) implies:
% 273.74/45.48 | (24) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, pls) =
% 273.74/45.48 | v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~
% 273.74/45.48 | (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~ hBOOL(v2) | ? [v3:
% 273.74/45.48 | int] : ? [v4: bool] : (bit0(v1) = v3 & hAPP_int_bool(v0, v3) =
% 273.74/45.48 | v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1: int] : ! [v2:
% 273.74/45.48 | bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | hBOOL(v2)
% 273.74/45.48 | | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 273.74/45.48 | hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~
% 273.74/45.48 | hBOOL(v4))))
% 273.74/45.48 |
% 273.74/45.48 | ALPHA: (fact_79_bin__less__0__simps_I1_J) implies:
% 273.74/45.48 | (25) ? [v0: fun_int_bool] : ? [v1: bool] :
% 273.74/45.48 | (hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & hAPP_int_bool(v0,
% 273.74/45.48 | zero_zero_int) = v1 & fun_int_bool(v0) & bool(v1) & ~ hBOOL(v1))
% 273.74/45.48 |
% 273.74/45.48 | ALPHA: (fact_84_less__special_I4_J) implies:
% 273.74/45.48 | (26) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2:
% 273.74/45.48 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 273.74/45.48 | v2) | ~ int(v1) | ? [v3: bool] : ? [v4: int] : ? [v5:
% 273.74/45.48 | fun_int_bool] : ? [v6: bool] : ((number_number_of_int(v1) = v4
% 273.74/45.48 | & hAPP_i1948725293t_bool(ord_less_int, v4) = v5 &
% 273.74/45.48 | hAPP_int_bool(v5, one_one_int) = v6 & fun_int_bool(v5) &
% 273.74/45.48 | int(v4) & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v2, v0) = v3
% 273.74/45.48 | & bool(v3) & ~ hBOOL(v3)))) & ! [v1: int] : ! [v2:
% 273.74/45.48 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 273.74/45.48 | v2) | ~ int(v1) | ? [v3: int] : ? [v4: fun_int_bool] : ?
% 273.74/45.48 | [v5: bool] : ? [v6: bool] : ((number_number_of_int(v1) = v3 &
% 273.74/45.48 | hAPP_i1948725293t_bool(ord_less_int, v3) = v4 &
% 273.74/45.48 | hAPP_int_bool(v4, one_one_int) = v5 & fun_int_bool(v4) &
% 273.74/45.48 | int(v3) & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(v2, v0) =
% 273.74/45.48 | v6 & bool(v6) & hBOOL(v6)))))
% 273.74/45.48 |
% 273.74/45.48 | ALPHA: (fact_85_less__special_I4_J) implies:
% 273.74/45.48 | (27) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2:
% 273.74/45.48 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 273.74/45.48 | v2) | ~ int(v1) | ? [v3: bool] : ? [v4: real] : ? [v5:
% 273.74/45.48 | fun_real_bool] : ? [v6: bool] :
% 273.74/45.48 | ((hAPP_r1134773055l_bool(ord_less_real, v4) = v5 &
% 273.74/45.48 | hAPP_real_bool(v5, one_one_real) = v6 &
% 273.74/45.48 | number267125858f_real(v1) = v4 & fun_real_bool(v5) & real(v4)
% 273.74/45.48 | & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v2, v0) = v3 &
% 273.74/45.48 | bool(v3) & ~ hBOOL(v3)))) & ! [v1: int] : ! [v2:
% 273.74/45.48 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 273.74/45.48 | v2) | ~ int(v1) | ? [v3: real] : ? [v4: fun_real_bool] : ?
% 273.74/45.48 | [v5: bool] : ? [v6: bool] :
% 273.74/45.48 | ((hAPP_r1134773055l_bool(ord_less_real, v3) = v4 &
% 273.74/45.48 | hAPP_real_bool(v4, one_one_real) = v5 &
% 273.74/45.48 | number267125858f_real(v1) = v3 & fun_real_bool(v4) & real(v3)
% 273.74/45.48 | & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(v2, v0) = v6 &
% 273.74/45.48 | bool(v6) & hBOOL(v6)))))
% 273.74/45.48 |
% 273.74/45.48 | ALPHA: (fact_86_less__special_I2_J) implies:
% 273.74/45.48 | (28) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: fun_int_bool] :
% 273.74/45.48 | (bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 273.74/45.48 | hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 273.74/45.48 | fun_int_bool(v2) & fun_int_bool(v0) & int(v1) & ! [v3: int] : !
% 273.74/45.48 | [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~
% 273.74/45.48 | hBOOL(v4) | ? [v5: int] : ? [v6: bool] :
% 273.74/45.48 | (number_number_of_int(v3) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 273.74/45.48 | int(v5) & bool(v6) & hBOOL(v6))) & ! [v3: int] : ! [v4: bool]
% 273.74/45.48 | : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | hBOOL(v4) | ?
% 273.74/45.48 | [v5: int] : ? [v6: bool] : (number_number_of_int(v3) = v5 &
% 273.74/45.48 | hAPP_int_bool(v0, v5) = v6 & int(v5) & bool(v6) & ~
% 273.74/45.48 | hBOOL(v6))))
% 273.74/45.48 |
% 273.74/45.48 | ALPHA: (fact_87_less__special_I2_J) implies:
% 274.66/45.48 | (29) ? [v0: fun_real_bool] : ? [v1: int] : ? [v2: fun_int_bool] :
% 274.66/45.48 | (hAPP_r1134773055l_bool(ord_less_real, one_one_real) = v0 & bit1(pls)
% 274.66/45.48 | = v1 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 274.66/45.48 | fun_real_bool(v0) & fun_int_bool(v2) & int(v1) & ! [v3: int] : !
% 274.66/45.48 | [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~
% 274.66/45.48 | hBOOL(v4) | ? [v5: real] : ? [v6: bool] : (hAPP_real_bool(v0,
% 274.66/45.48 | v5) = v6 & number267125858f_real(v3) = v5 & real(v5) &
% 274.66/45.48 | bool(v6) & hBOOL(v6))) & ! [v3: int] : ! [v4: bool] : ( ~
% 274.66/45.48 | (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | hBOOL(v4) | ? [v5:
% 274.66/45.48 | real] : ? [v6: bool] : (hAPP_real_bool(v0, v5) = v6 &
% 274.66/45.48 | number267125858f_real(v3) = v5 & real(v5) & bool(v6) & ~
% 274.66/45.48 | hBOOL(v6))))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_98_Pls__def) implies:
% 274.66/45.48 | (30) pls = zero_zero_int
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_35_zero__is__num__zero) implies:
% 274.66/45.48 | (31) number_number_of_int(pls) = zero_zero_int
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_113_add__numeral__0) implies:
% 274.66/45.48 | (32) ? [v0: int] : (number_number_of_int(pls) = v0 & int(v0) & ! [v1:
% 274.66/45.48 | int] : ! [v2: int] : (v2 = v1 | ~ (plus_plus_int(v0, v1) = v2) |
% 274.66/45.48 | ~ int(v1)))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_115_add__numeral__0__right) implies:
% 274.66/45.48 | (33) ? [v0: int] : (number_number_of_int(pls) = v0 & int(v0) & ! [v1:
% 274.66/45.48 | int] : ! [v2: int] : (v2 = v1 | ~ (plus_plus_int(v1, v0) = v2) |
% 274.66/45.48 | ~ int(v1)))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_117_power__eq__0__iff__number__of) implies:
% 274.66/45.48 | (34) ! [v0: int] : ! [v1: int] : ! [v2: fun_nat_int] : ! [v3: nat] :
% 274.66/45.48 | (v0 = zero_zero_int | ~ (number_number_of_nat(v1) = v3) | ~
% 274.66/45.48 | (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v2, v3) =
% 274.66/45.48 | zero_zero_int) | ~ int(v1) | ~ int(v0))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_131_number__of__int) implies:
% 274.66/45.48 | (35) ! [v0: nat] : ! [v1: int] : ( ~
% 274.66/45.48 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~ nat(v0) |
% 274.66/45.48 | (number_number_of_int(v1) = v1 & int(v1)))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_133_zero__less__power2) implies:
% 274.66/45.48 | (36) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.48 | (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 274.66/45.48 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.48 | fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) & ! [v4: int] : !
% 274.66/45.48 | [v5: fun_nat_int] : (v4 = zero_zero_int | ~ (power_power_int(v4) =
% 274.66/45.48 | v5) | ~ int(v4) | ? [v6: int] : ? [v7: bool] :
% 274.66/45.48 | (hAPP_nat_int(v5, v3) = v6 & hAPP_int_bool(v0, v6) = v7 & int(v6)
% 274.66/45.48 | & bool(v7) & hBOOL(v7))) & ! [v4: fun_nat_int] : ( ~
% 274.66/45.48 | (power_power_int(zero_zero_int) = v4) | ? [v5: int] : ? [v6:
% 274.66/45.48 | bool] : (hAPP_nat_int(v4, v3) = v5 & hAPP_int_bool(v0, v5) = v6
% 274.66/45.48 | & int(v5) & bool(v6) & ~ hBOOL(v6))))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_134_zero__less__power2) implies:
% 274.66/45.48 | (37) ? [v0: fun_real_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.48 | (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 &
% 274.66/45.48 | bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 274.66/45.48 | fun_real_bool(v0) & nat(v3) & int(v2) & int(v1) & ! [v4: real] : !
% 274.66/45.48 | [v5: fun_nat_real] : (v4 = zero_zero_real | ~ (power_power_real(v4)
% 274.66/45.48 | = v5) | ~ real(v4) | ? [v6: real] : ? [v7: bool] :
% 274.66/45.48 | (hAPP_real_bool(v0, v6) = v7 & hAPP_nat_real(v5, v3) = v6 &
% 274.66/45.48 | real(v6) & bool(v7) & hBOOL(v7))) & ! [v4: fun_nat_real] : ( ~
% 274.66/45.48 | (power_power_real(zero_zero_real) = v4) | ? [v5: real] : ? [v6:
% 274.66/45.48 | bool] : (hAPP_real_bool(v0, v5) = v6 & hAPP_nat_real(v4, v3) =
% 274.66/45.48 | v5 & real(v5) & bool(v6) & ~ hBOOL(v6))))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_135_power2__less__0) implies:
% 274.66/45.48 | (38) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.48 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.48 | int(v0) & ! [v3: int] : ! [v4: fun_nat_int] : ( ~
% 274.66/45.48 | (power_power_int(v3) = v4) | ~ int(v3) | ? [v5: int] : ? [v6:
% 274.66/45.48 | fun_int_bool] : ? [v7: bool] :
% 274.66/45.48 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v6 & hAPP_nat_int(v4,
% 274.66/45.48 | v2) = v5 & hAPP_int_bool(v6, zero_zero_int) = v7 &
% 274.66/45.48 | fun_int_bool(v6) & int(v5) & bool(v7) & ~ hBOOL(v7))))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_136_power2__less__0) implies:
% 274.66/45.48 | (39) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.48 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.48 | int(v0) & ! [v3: real] : ! [v4: fun_nat_real] : ( ~
% 274.66/45.48 | (power_power_real(v3) = v4) | ~ real(v3) | ? [v5: real] : ?
% 274.66/45.48 | [v6: fun_real_bool] : ? [v7: bool] :
% 274.66/45.48 | (hAPP_r1134773055l_bool(ord_less_real, v5) = v6 &
% 274.66/45.48 | hAPP_real_bool(v6, zero_zero_real) = v7 & hAPP_nat_real(v4, v2)
% 274.66/45.48 | = v5 & fun_real_bool(v6) & real(v5) & bool(v7) & ~ hBOOL(v7))))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_137_sum__power2__gt__zero__iff) implies:
% 274.66/45.48 | (40) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.48 | (bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 274.66/45.48 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.48 | fun_int_bool(v0) & nat(v3) & int(v2) & int(v1) & ! [v4: int] : !
% 274.66/45.48 | [v5: int] : ! [v6: fun_nat_int] : ! [v7: int] : ! [v8:
% 274.66/45.48 | fun_nat_int] : ! [v9: int] : ! [v10: int] : (v5 = zero_zero_int
% 274.66/45.48 | | ~ (power_power_int(v5) = v8) | ~ (power_power_int(v4) = v6) |
% 274.66/45.48 | ~ (hAPP_nat_int(v8, v3) = v9) | ~ (hAPP_nat_int(v6, v3) = v7) |
% 274.66/45.48 | ~ (plus_plus_int(v7, v9) = v10) | ~ int(v5) | ~ int(v4) | ?
% 274.66/45.48 | [v11: bool] : (hAPP_int_bool(v0, v10) = v11 & bool(v11) &
% 274.66/45.48 | hBOOL(v11))) & ! [v4: int] : ! [v5: int] : ! [v6:
% 274.66/45.48 | fun_nat_int] : ! [v7: int] : ! [v8: fun_nat_int] : ! [v9: int]
% 274.66/45.48 | : ! [v10: int] : (v4 = zero_zero_int | ~ (power_power_int(v5) =
% 274.66/45.48 | v8) | ~ (power_power_int(v4) = v6) | ~ (hAPP_nat_int(v8, v3) =
% 274.66/45.48 | v9) | ~ (hAPP_nat_int(v6, v3) = v7) | ~ (plus_plus_int(v7, v9)
% 274.66/45.48 | = v10) | ~ int(v5) | ~ int(v4) | ? [v11: bool] :
% 274.66/45.48 | (hAPP_int_bool(v0, v10) = v11 & bool(v11) & hBOOL(v11))) & ! [v4:
% 274.66/45.48 | fun_nat_int] : ! [v5: int] : ! [v6: int] : ( ~
% 274.66/45.48 | (power_power_int(zero_zero_int) = v4) | ~ (hAPP_nat_int(v4, v3) =
% 274.66/45.48 | v5) | ~ (plus_plus_int(v5, v5) = v6) | ? [v7: bool] :
% 274.66/45.48 | (hAPP_int_bool(v0, v6) = v7 & bool(v7) & ~ hBOOL(v7))))
% 274.66/45.48 |
% 274.66/45.48 | ALPHA: (fact_138_sum__power2__gt__zero__iff) implies:
% 274.66/45.48 | (41) ? [v0: fun_real_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.48 | (hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = v0 &
% 274.66/45.48 | bit1(pls) = v1 & bit0(v1) = v2 & number_number_of_nat(v2) = v3 &
% 274.66/45.49 | fun_real_bool(v0) & nat(v3) & int(v2) & int(v1) & ! [v4: real] : !
% 274.66/45.49 | [v5: real] : ! [v6: fun_nat_real] : ! [v7: real] : ! [v8:
% 274.66/45.49 | fun_nat_real] : ! [v9: real] : ! [v10: real] : (v5 =
% 274.66/45.49 | zero_zero_real | ~ (power_power_real(v5) = v8) | ~
% 274.66/45.49 | (power_power_real(v4) = v6) | ~ (hAPP_nat_real(v8, v3) = v9) | ~
% 274.66/45.49 | (hAPP_nat_real(v6, v3) = v7) | ~ (plus_plus_real(v7, v9) = v10) |
% 274.66/45.49 | ~ real(v5) | ~ real(v4) | ? [v11: bool] : (hAPP_real_bool(v0,
% 274.66/45.49 | v10) = v11 & bool(v11) & hBOOL(v11))) & ! [v4: real] : !
% 274.66/45.49 | [v5: real] : ! [v6: fun_nat_real] : ! [v7: real] : ! [v8:
% 274.66/45.49 | fun_nat_real] : ! [v9: real] : ! [v10: real] : (v4 =
% 274.66/45.49 | zero_zero_real | ~ (power_power_real(v5) = v8) | ~
% 274.66/45.49 | (power_power_real(v4) = v6) | ~ (hAPP_nat_real(v8, v3) = v9) | ~
% 274.66/45.49 | (hAPP_nat_real(v6, v3) = v7) | ~ (plus_plus_real(v7, v9) = v10) |
% 274.66/45.49 | ~ real(v5) | ~ real(v4) | ? [v11: bool] : (hAPP_real_bool(v0,
% 274.66/45.49 | v10) = v11 & bool(v11) & hBOOL(v11))) & ! [v4: fun_nat_real]
% 274.66/45.49 | : ! [v5: real] : ! [v6: real] : ( ~
% 274.66/45.49 | (power_power_real(zero_zero_real) = v4) | ~ (hAPP_nat_real(v4,
% 274.66/45.49 | v3) = v5) | ~ (plus_plus_real(v5, v5) = v6) | ? [v7: bool] :
% 274.66/45.49 | (hAPP_real_bool(v0, v6) = v7 & bool(v7) & ~ hBOOL(v7))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_139_not__sum__power2__lt__zero) implies:
% 274.66/45.49 | (42) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.49 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.49 | int(v0) & ! [v3: int] : ! [v4: int] : ! [v5: fun_nat_int] : !
% 274.66/45.49 | [v6: int] : ! [v7: fun_nat_int] : ! [v8: int] : ! [v9: int] : ( ~
% 274.66/45.49 | (power_power_int(v4) = v7) | ~ (power_power_int(v3) = v5) | ~
% 274.66/45.49 | (hAPP_nat_int(v7, v2) = v8) | ~ (hAPP_nat_int(v5, v2) = v6) | ~
% 274.66/45.49 | (plus_plus_int(v6, v8) = v9) | ~ int(v4) | ~ int(v3) | ? [v10:
% 274.66/45.49 | fun_int_bool] : ? [v11: bool] :
% 274.66/45.49 | (hAPP_i1948725293t_bool(ord_less_int, v9) = v10 &
% 274.66/45.49 | hAPP_int_bool(v10, zero_zero_int) = v11 & fun_int_bool(v10) &
% 274.66/45.49 | bool(v11) & ~ hBOOL(v11))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_140_not__sum__power2__lt__zero) implies:
% 274.66/45.49 | (43) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.49 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.49 | int(v0) & ! [v3: real] : ! [v4: real] : ! [v5: fun_nat_real] : !
% 274.66/45.49 | [v6: real] : ! [v7: fun_nat_real] : ! [v8: real] : ! [v9: real] :
% 274.66/45.49 | ( ~ (power_power_real(v4) = v7) | ~ (power_power_real(v3) = v5) |
% 274.66/45.49 | ~ (hAPP_nat_real(v7, v2) = v8) | ~ (hAPP_nat_real(v5, v2) = v6) |
% 274.66/45.49 | ~ (plus_plus_real(v6, v8) = v9) | ~ real(v4) | ~ real(v3) | ?
% 274.66/45.49 | [v10: fun_real_bool] : ? [v11: bool] :
% 274.66/45.49 | (hAPP_r1134773055l_bool(ord_less_real, v9) = v10 &
% 274.66/45.49 | hAPP_real_bool(v10, zero_zero_real) = v11 & fun_real_bool(v10) &
% 274.66/45.49 | bool(v11) & ~ hBOOL(v11))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_53_one__is__num__one) implies:
% 274.66/45.49 | (44) ? [v0: int] : (number_number_of_int(v0) = one_one_int & bit1(pls) =
% 274.66/45.49 | v0 & int(v0))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_55_Numeral1__eq1__nat) implies:
% 274.66/45.49 | (45) ? [v0: int] : (bit1(pls) = v0 & number_number_of_nat(v0) =
% 274.66/45.49 | one_one_nat & int(v0))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_28_numeral__1__eq__1) implies:
% 274.66/45.49 | (46) ? [v0: int] : (number267125858f_real(v0) = one_one_real & bit1(pls) =
% 274.66/45.49 | v0 & int(v0))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_148_mn) implies:
% 274.66/45.49 | (47) int(m1)
% 274.66/45.49 | (48) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: bool] :
% 274.66/45.49 | (hAPP_i1948725293t_bool(ord_less_int, m1) = v0 &
% 274.66/45.49 | hAPP_nat_int(semiri1621563631at_int, n) = v1 &
% 274.66/45.49 | plus_plus_int(one_one_int, v1) = v2 & hAPP_int_bool(v0, v2) = v3 &
% 274.66/45.49 | fun_int_bool(v0) & int(v2) & int(v1) & bool(v3) & hBOOL(v3))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_149_of__nat__less__two__power) implies:
% 274.66/45.49 | (49) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_nat_int] :
% 274.66/45.49 | (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 274.66/45.49 | power_power_int(v2) = v3 & fun_nat_int(v3) & int(v2) & int(v1) &
% 274.66/45.49 | int(v0) & ! [v4: nat] : ! [v5: int] : ! [v6: fun_int_bool] : !
% 274.66/45.49 | [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.49 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 274.66/45.49 | (hAPP_nat_int(v3, v4) = v7) | ~
% 274.66/45.49 | (hAPP_nat_int(semiri1621563631at_int, v4) = v5) | ~
% 274.66/45.49 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v4) | hBOOL(v8)))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_150_of__nat__less__two__power) implies:
% 274.66/45.49 | (50) ? [v0: int] : ? [v1: int] : ? [v2: real] : ? [v3: fun_nat_real] :
% 274.66/45.49 | (number267125858f_real(v1) = v2 & power_power_real(v2) = v3 &
% 274.66/45.49 | bit1(pls) = v0 & bit0(v0) = v1 & fun_nat_real(v3) & real(v2) &
% 274.66/45.49 | int(v1) & int(v0) & ! [v4: nat] : ! [v5: real] : ! [v6:
% 274.66/45.49 | fun_real_bool] : ! [v7: real] : ! [v8: bool] : ( ~
% 274.66/45.49 | (hAPP_r1134773055l_bool(ord_less_real, v5) = v6) | ~
% 274.66/45.49 | (hAPP_real_bool(v6, v7) = v8) | ~ (hAPP_nat_real(v3, v4) = v7) |
% 274.66/45.49 | ~ (hAPP_nat_real(semiri132038758t_real, v4) = v5) | ~ nat(v4) |
% 274.66/45.49 | hBOOL(v8)))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_151_transfer__int__nat__numerals_I3_J) implies:
% 274.66/45.49 | (51) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.49 | (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 274.66/45.49 | number_number_of_nat(v1) = v3 & hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.49 | v3) = v2 & nat(v3) & int(v2) & int(v1) & int(v0))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_152_transfer__int__nat__numerals_I4_J) implies:
% 274.66/45.49 | (52) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.49 | (number_number_of_int(v1) = v2 & bit1(v0) = v1 & bit1(pls) = v0 &
% 274.66/45.49 | number_number_of_nat(v1) = v3 & hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.49 | v3) = v2 & nat(v3) & int(v2) & int(v1) & int(v0))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_3_sum__power2__eq__zero__iff) implies:
% 274.66/45.49 | (53) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.49 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.49 | int(v0) & ! [v3: real] : ! [v4: real] : ! [v5: fun_nat_real] : !
% 274.66/45.49 | [v6: real] : ! [v7: fun_nat_real] : ! [v8: real] : (v4 =
% 274.66/45.49 | zero_zero_real | ~ (power_power_real(v4) = v7) | ~
% 274.66/45.49 | (power_power_real(v3) = v5) | ~ (hAPP_nat_real(v7, v2) = v8) | ~
% 274.66/45.49 | (hAPP_nat_real(v5, v2) = v6) | ~ (plus_plus_real(v6, v8) =
% 274.66/45.49 | zero_zero_real) | ~ real(v4) | ~ real(v3)) & ! [v3: real] :
% 274.66/45.49 | ! [v4: real] : ! [v5: fun_nat_real] : ! [v6: real] : ! [v7:
% 274.66/45.49 | fun_nat_real] : ! [v8: real] : (v3 = zero_zero_real | ~
% 274.66/45.49 | (power_power_real(v4) = v7) | ~ (power_power_real(v3) = v5) | ~
% 274.66/45.49 | (hAPP_nat_real(v7, v2) = v8) | ~ (hAPP_nat_real(v5, v2) = v6) |
% 274.66/45.49 | ~ (plus_plus_real(v6, v8) = zero_zero_real) | ~ real(v4) | ~
% 274.66/45.49 | real(v3)) & ! [v3: fun_nat_real] : ! [v4: real] : ! [v5: real]
% 274.66/45.49 | : (v5 = zero_zero_real | ~ (power_power_real(zero_zero_real) = v3)
% 274.66/45.49 | | ~ (hAPP_nat_real(v3, v2) = v4) | ~ (plus_plus_real(v4, v4) =
% 274.66/45.49 | v5)))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_157_one__less__power) implies:
% 274.66/45.49 | (54) ? [v0: fun_int_bool] : ? [v1: fun_nat_bool] :
% 274.66/45.49 | (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 274.66/45.49 | hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 274.66/45.49 | fun_nat_bool(v1) & fun_int_bool(v0) & ! [v2: nat] : ! [v3: int] :
% 274.66/45.49 | ! [v4: bool] : ! [v5: bool] : ( ~ (hAPP_nat_bool(v1, v2) = v5) | ~
% 274.66/45.49 | (hAPP_int_bool(v0, v3) = v4) | ~ nat(v2) | ~ int(v3) | ~
% 274.66/45.49 | hBOOL(v5) | ~ hBOOL(v4) | ? [v6: fun_nat_int] : ? [v7: int] :
% 274.66/45.49 | ? [v8: bool] : (power_power_int(v3) = v6 & hAPP_nat_int(v6, v2) =
% 274.66/45.49 | v7 & hAPP_int_bool(v0, v7) = v8 & fun_nat_int(v6) & int(v7) &
% 274.66/45.49 | bool(v8) & hBOOL(v8))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_163_power__strict__decreasing) implies:
% 274.66/45.49 | (55) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.49 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.49 | nat] : ! [v3: nat] : ! [v4: fun_nat_int] : ! [v5: int] : !
% 274.66/45.49 | [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.49 | (power_power_int(v1) = v4) | ~
% 274.66/45.49 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 274.66/45.49 | (hAPP_nat_int(v4, v3) = v5) | ~ (hAPP_nat_int(v4, v2) = v7) | ~
% 274.66/45.49 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v3) | ~ nat(v2) | ~
% 274.66/45.49 | int(v1) | hBOOL(v8) | ? [v9: fun_nat_bool] : ? [v10: bool] : ?
% 274.66/45.49 | [v11: bool] : ? [v12: fun_int_bool] : ? [v13: bool] :
% 274.66/45.49 | ((hAPP_n1699378549t_bool(ord_less_nat, v2) = v9 &
% 274.66/45.49 | hAPP_nat_bool(v9, v3) = v10 & fun_nat_bool(v9) & bool(v10) &
% 274.66/45.49 | ~ hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_int, v1) =
% 274.66/45.49 | v12 & hAPP_int_bool(v12, one_one_int) = v13 &
% 274.66/45.49 | fun_int_bool(v12) & bool(v13) & ~ hBOOL(v13)) |
% 274.66/45.49 | (hAPP_int_bool(v0, v1) = v11 & bool(v11) & ~ hBOOL(v11)))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_166_zero__less__two) implies:
% 274.66/45.49 | (56) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: bool] :
% 274.66/45.49 | (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.49 | plus_plus_int(one_one_int, one_one_int) = v1 & hAPP_int_bool(v0, v1)
% 274.66/45.49 | = v2 & fun_int_bool(v0) & int(v1) & bool(v2) & hBOOL(v2))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_167_zero__less__two) implies:
% 274.66/45.49 | (57) ? [v0: fun_nat_bool] : ? [v1: nat] : ? [v2: bool] :
% 274.66/45.49 | (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 &
% 274.66/45.49 | hAPP_nat_bool(v0, v1) = v2 & plus_plus_nat(one_one_nat, one_one_nat)
% 274.66/45.49 | = v1 & fun_nat_bool(v0) & nat(v1) & bool(v2) & hBOOL(v2))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_208_less__nat__number__of) implies:
% 274.66/45.49 | (58) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, pls) =
% 274.66/45.49 | v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3: nat] :
% 274.66/45.49 | ! [v4: fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~
% 274.66/45.49 | (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 274.66/45.49 | (hAPP_nat_bool(v4, v5) = v6) | ~ (number_number_of_nat(v2) = v5)
% 274.66/45.49 | | ~ (number_number_of_nat(v1) = v3) | ~ int(v2) | ~ int(v1) |
% 274.66/45.49 | ~ hBOOL(v6) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9:
% 274.66/45.49 | bool] : (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 &
% 274.66/45.49 | hAPP_int_bool(v7, v2) = v8 & hAPP_int_bool(v0, v2) = v9 &
% 274.66/45.49 | fun_int_bool(v7) & bool(v9) & bool(v8) & hBOOL(v9) & hBOOL(v8)))
% 274.66/45.49 | & ! [v1: int] : ! [v2: int] : ! [v3: nat] : ! [v4: fun_nat_bool]
% 274.66/45.49 | : ! [v5: nat] : ! [v6: bool] : ( ~
% 274.66/45.49 | (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 274.66/45.49 | (hAPP_nat_bool(v4, v5) = v6) | ~ (number_number_of_nat(v2) = v5)
% 274.66/45.49 | | ~ (number_number_of_nat(v1) = v3) | ~ int(v2) | ~ int(v1) |
% 274.66/45.49 | hBOOL(v6) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: bool]
% 274.66/45.49 | : (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 &
% 274.66/45.49 | hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) & ( ~
% 274.66/45.49 | hBOOL(v8) | (hAPP_int_bool(v0, v2) = v9 & bool(v9) & ~
% 274.66/45.49 | hBOOL(v9))))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_223_less__0__number__of) implies:
% 274.66/45.49 | (59) ? [v0: fun_nat_bool] : ? [v1: fun_int_bool] :
% 274.66/45.49 | (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 &
% 274.66/45.49 | hAPP_i1948725293t_bool(ord_less_int, pls) = v1 & fun_nat_bool(v0) &
% 274.66/45.49 | fun_int_bool(v1) & ! [v2: int] : ! [v3: bool] : ( ~
% 274.66/45.49 | (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ? [v4:
% 274.66/45.49 | nat] : ? [v5: bool] : (hAPP_nat_bool(v0, v4) = v5 &
% 274.66/45.49 | number_number_of_nat(v2) = v4 & nat(v4) & bool(v5) & hBOOL(v5)))
% 274.66/45.49 | & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) |
% 274.66/45.49 | ~ int(v2) | hBOOL(v3) | ? [v4: nat] : ? [v5: bool] :
% 274.66/45.49 | (hAPP_nat_bool(v0, v4) = v5 & number_number_of_nat(v2) = v4 &
% 274.66/45.49 | nat(v4) & bool(v5) & ~ hBOOL(v5))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_224_zero__less__int__conv) implies:
% 274.66/45.49 | (60) ? [v0: fun_int_bool] : ? [v1: fun_nat_bool] :
% 274.66/45.49 | (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 274.66/45.49 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.49 | fun_nat_bool(v1) & fun_int_bool(v0) & ! [v2: nat] : ! [v3: bool] :
% 274.66/45.49 | ( ~ (hAPP_nat_bool(v1, v2) = v3) | ~ nat(v2) | ~ hBOOL(v3) | ?
% 274.66/45.49 | [v4: int] : ? [v5: bool] : (hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.49 | v2) = v4 & hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) &
% 274.66/45.49 | hBOOL(v5))) & ! [v2: nat] : ! [v3: bool] : ( ~
% 274.66/45.49 | (hAPP_nat_bool(v1, v2) = v3) | ~ nat(v2) | hBOOL(v3) | ? [v4:
% 274.66/45.49 | int] : ? [v5: bool] : (hAPP_nat_int(semiri1621563631at_int, v2)
% 274.66/45.49 | = v4 & hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & ~
% 274.66/45.49 | hBOOL(v5))))
% 274.66/45.49 |
% 274.66/45.49 | ALPHA: (fact_40_int__1) implies:
% 274.66/45.50 | (61) hAPP_nat_int(semiri1621563631at_int, one_one_nat) = one_one_int
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_257_pos__add__strict) implies:
% 274.66/45.50 | (62) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.50 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : !
% 274.66/45.50 | [v6: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) |
% 274.66/45.50 | ~ (plus_plus_int(v3, v2) = v5) | ~ (hAPP_int_bool(v4, v5) = v6) |
% 274.66/45.50 | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v6) | ? [v7: bool] :
% 274.66/45.50 | ? [v8: bool] : ((hAPP_int_bool(v4, v2) = v8 & bool(v8) & ~
% 274.66/45.50 | hBOOL(v8)) | (hAPP_int_bool(v0, v3) = v7 & bool(v7) & ~
% 274.66/45.50 | hBOOL(v7)))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_260_not__one__less__zero) implies:
% 274.66/45.50 | (63) ? [v0: fun_int_bool] : ? [v1: bool] :
% 274.66/45.50 | (hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 274.66/45.50 | hAPP_int_bool(v0, zero_zero_int) = v1 & fun_int_bool(v0) & bool(v1)
% 274.66/45.50 | & ~ hBOOL(v1))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_81_int__0__less__1) implies:
% 274.66/45.50 | (64) ? [v0: fun_int_bool] : ? [v1: bool] :
% 274.66/45.50 | (hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.50 | hAPP_int_bool(v0, one_one_int) = v1 & fun_int_bool(v0) & bool(v1) &
% 274.66/45.50 | hBOOL(v1))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_266_zero__less__power) implies:
% 274.66/45.50 | (65) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.50 | int] : ! [v3: fun_nat_int] : ! [v4: int] : ( ~
% 274.66/45.50 | (power_power_int(v2) = v3) | ~ (hAPP_nat_int(v3, v1) = v4) | ~
% 274.66/45.50 | nat(v1) | ~ int(v2) | ? [v5: bool] : ? [v6: bool] :
% 274.66/45.50 | ((hAPP_int_bool(v0, v4) = v6 & bool(v6) & hBOOL(v6)) |
% 274.66/45.50 | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_272_power__inject__exp) implies:
% 274.66/45.50 | (66) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | one_one_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2: nat]
% 274.66/45.50 | : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : (v2 = v1 | ~
% 274.66/45.50 | (power_power_int(v3) = v4) | ~ (hAPP_nat_int(v4, v2) = v5) | ~
% 274.66/45.50 | (hAPP_nat_int(v4, v1) = v5) | ~ nat(v2) | ~ nat(v1) | ~ int(v3)
% 274.66/45.50 | | ? [v6: bool] : (hAPP_int_bool(v0, v3) = v6 & bool(v6) & ~
% 274.66/45.50 | hBOOL(v6))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_275_power__strict__increasing__iff) implies:
% 274.66/45.50 | (67) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | one_one_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2: nat]
% 274.66/45.50 | : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : ! [v6:
% 274.66/45.50 | fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.50 | (power_power_int(v3) = v4) | ~
% 274.66/45.50 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 274.66/45.50 | (hAPP_nat_int(v4, v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5) | ~
% 274.66/45.50 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v2) | ~ nat(v1) | ~
% 274.66/45.50 | int(v3) | ? [v9: bool] : ? [v10: fun_nat_bool] : ? [v11: bool]
% 274.66/45.50 | : ((hAPP_int_bool(v0, v3) = v9 & bool(v9) & ~ hBOOL(v9)) | (( ~
% 274.66/45.50 | hBOOL(v8) | (hAPP_n1699378549t_bool(ord_less_nat, v1) = v10
% 274.66/45.50 | & hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) &
% 274.66/45.50 | bool(v11) & hBOOL(v11))) & (hBOOL(v8) |
% 274.66/45.50 | (hAPP_n1699378549t_bool(ord_less_nat, v1) = v10 &
% 274.66/45.50 | hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) &
% 274.66/45.50 | bool(v11) & ~ hBOOL(v11)))))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_278_power__less__imp__less__exp) implies:
% 274.66/45.50 | (68) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | one_one_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2: nat]
% 274.66/45.50 | : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : ! [v6:
% 274.66/45.50 | fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.50 | (power_power_int(v3) = v4) | ~
% 274.66/45.50 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 274.66/45.50 | (hAPP_nat_int(v4, v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5) | ~
% 274.66/45.50 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v2) | ~ nat(v1) | ~
% 274.66/45.50 | int(v3) | ~ hBOOL(v8) | ? [v9: bool] : ? [v10: fun_nat_bool] :
% 274.66/45.50 | ? [v11: bool] : ((hAPP_n1699378549t_bool(ord_less_nat, v1) = v10 &
% 274.66/45.50 | hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) & bool(v11) &
% 274.66/45.50 | hBOOL(v11)) | (hAPP_int_bool(v0, v3) = v9 & bool(v9) & ~
% 274.66/45.50 | hBOOL(v9)))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_281_power__strict__increasing) implies:
% 274.66/45.50 | (69) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | one_one_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: nat]
% 274.66/45.50 | : ! [v3: nat] : ! [v4: fun_nat_int] : ! [v5: int] : ! [v6:
% 274.66/45.50 | fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.50 | (power_power_int(v1) = v4) | ~
% 274.66/45.50 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 274.66/45.50 | (hAPP_nat_int(v4, v3) = v7) | ~ (hAPP_nat_int(v4, v2) = v5) | ~
% 274.66/45.50 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v3) | ~ nat(v2) | ~
% 274.66/45.50 | int(v1) | hBOOL(v8) | ? [v9: fun_nat_bool] : ? [v10: bool] : ?
% 274.66/45.50 | [v11: bool] : ((hAPP_n1699378549t_bool(ord_less_nat, v2) = v9 &
% 274.66/45.50 | hAPP_nat_bool(v9, v3) = v10 & fun_nat_bool(v9) & bool(v10) &
% 274.66/45.50 | ~ hBOOL(v10)) | (hAPP_int_bool(v0, v1) = v11 & bool(v11) & ~
% 274.66/45.50 | hBOOL(v11)))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_296_pos2) implies:
% 274.66/45.50 | (70) ? [v0: fun_nat_bool] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.50 | ? [v4: bool] : (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) =
% 274.66/45.50 | v0 & hAPP_nat_bool(v0, v3) = v4 & bit1(pls) = v1 & bit0(v1) = v2 &
% 274.66/45.50 | number_number_of_nat(v2) = v3 & fun_nat_bool(v0) & nat(v3) & int(v2)
% 274.66/45.50 | & int(v1) & bool(v4) & hBOOL(v4))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_297_zero__less__imp__eq__int) implies:
% 274.66/45.50 | (71) ? [v0: fun_int_bool] : ? [v1: fun_nat_bool] :
% 274.66/45.50 | (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v1 &
% 274.66/45.50 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.50 | fun_nat_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] :
% 274.66/45.50 | ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 274.66/45.50 | [v4: nat] : ? [v5: bool] : (hAPP_nat_bool(v1, v4) = v5 &
% 274.66/45.50 | hAPP_nat_int(semiri1621563631at_int, v4) = v2 & nat(v4) &
% 274.66/45.50 | bool(v5) & hBOOL(v5))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_303_zero__less__double__add__iff__zero__less__single__add)
% 274.66/45.50 | implies:
% 274.66/45.50 | (72) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.50 | bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~
% 274.66/45.50 | hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (plus_plus_int(v1, v1)
% 274.66/45.50 | = v3 & hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) &
% 274.66/45.50 | hBOOL(v4))) & ! [v1: int] : ! [v2: bool] : ( ~
% 274.66/45.50 | (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | hBOOL(v2) | ? [v3:
% 274.66/45.50 | int] : ? [v4: bool] : (plus_plus_int(v1, v1) = v3 &
% 274.66/45.50 | hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~
% 274.66/45.50 | hBOOL(v4))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_307_add__pos__pos) implies:
% 274.66/45.50 | (73) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.50 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.50 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.50 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.50 | int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] : ? [v6:
% 274.66/45.50 | bool] : (plus_plus_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) = v6
% 274.66/45.50 | & int(v5) & bool(v6) & hBOOL(v6))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_408_zadd__power3) implies:
% 274.66/45.50 | (74) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 274.66/45.50 | int] : ? [v5: nat] : (number_number_of_int(v1) = v3 & bit1(v0) = v1
% 274.66/45.50 | & bit1(pls) = v0 & bit0(v0) = v4 & number_number_of_nat(v4) = v5 &
% 274.66/45.50 | number_number_of_nat(v1) = v2 & nat(v5) & nat(v2) & int(v4) &
% 274.66/45.50 | int(v3) & int(v1) & int(v0) & ! [v6: int] : ! [v7: int] : ! [v8:
% 274.66/45.50 | fun_nat_int] : ! [v9: int] : ! [v10: int] : ! [v11: int] : !
% 274.66/45.50 | [v12: int] : ! [v13: int] : ! [v14: int] : ! [v15: fun_nat_int] :
% 274.66/45.50 | ! [v16: int] : ! [v17: int] : ! [v18: int] : ! [v19: int] : !
% 274.66/45.50 | [v20: int] : ( ~ (times_times_int(v14, v16) = v17) | ~
% 274.66/45.50 | (times_times_int(v11, v7) = v12) | ~ (times_times_int(v3, v10) =
% 274.66/45.50 | v11) | ~ (times_times_int(v3, v6) = v14) | ~
% 274.66/45.50 | (power_power_int(v7) = v15) | ~ (power_power_int(v6) = v8) | ~
% 274.66/45.50 | (hAPP_nat_int(v15, v5) = v16) | ~ (hAPP_nat_int(v15, v2) = v19) |
% 274.66/45.50 | ~ (hAPP_nat_int(v8, v5) = v10) | ~ (hAPP_nat_int(v8, v2) = v9) |
% 274.66/45.50 | ~ (plus_plus_int(v18, v19) = v20) | ~ (plus_plus_int(v13, v17) =
% 274.66/45.50 | v18) | ~ (plus_plus_int(v9, v12) = v13) | ~ int(v7) | ~
% 274.66/45.50 | int(v6) | ? [v21: int] : ? [v22: fun_nat_int] :
% 274.66/45.50 | (power_power_int(v21) = v22 & hAPP_nat_int(v22, v2) = v20 &
% 274.66/45.50 | plus_plus_int(v6, v7) = v21 & fun_nat_int(v22) & int(v21) &
% 274.66/45.50 | int(v20))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_409_zadd__power2) implies:
% 274.66/45.50 | (75) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 274.66/45.50 | (number_number_of_int(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 274.66/45.50 | number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) &
% 274.66/45.50 | int(v0) & ! [v4: int] : ! [v5: int] : ! [v6: fun_nat_int] : !
% 274.66/45.50 | [v7: int] : ! [v8: int] : ! [v9: int] : ! [v10: int] : ! [v11:
% 274.66/45.50 | fun_nat_int] : ! [v12: int] : ! [v13: int] : ( ~
% 274.66/45.50 | (times_times_int(v8, v5) = v9) | ~ (times_times_int(v3, v4) = v8)
% 274.66/45.50 | | ~ (power_power_int(v5) = v11) | ~ (power_power_int(v4) = v6) |
% 274.66/45.50 | ~ (hAPP_nat_int(v11, v2) = v12) | ~ (hAPP_nat_int(v6, v2) = v7)
% 274.66/45.50 | | ~ (plus_plus_int(v10, v12) = v13) | ~ (plus_plus_int(v7, v9) =
% 274.66/45.50 | v10) | ~ int(v5) | ~ int(v4) | ? [v14: int] : ? [v15:
% 274.66/45.50 | fun_nat_int] : (power_power_int(v14) = v15 & hAPP_nat_int(v15,
% 274.66/45.50 | v2) = v13 & plus_plus_int(v4, v5) = v14 & fun_nat_int(v15) &
% 274.66/45.50 | int(v14) & int(v13))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_412_le__iff__diff__le__0) implies:
% 274.66/45.50 | (76) ! [v0: int] : ! [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool] :
% 274.66/45.50 | ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v2) | ~
% 274.66/45.50 | (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | ~
% 274.66/45.50 | hBOOL(v3) | ? [v4: int] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 274.66/45.50 | (minus_minus_int(v0, v1) = v4 &
% 274.66/45.50 | hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5 &
% 274.66/45.50 | hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) & int(v4)
% 274.66/45.50 | & bool(v6) & hBOOL(v6)))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_443_diff__eq__diff__less__eq) implies:
% 274.66/45.50 | (77) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 274.66/45.50 | fun_int_bool] : ! [v5: bool] : ! [v6: fun_int_bool] : ! [v7:
% 274.66/45.50 | bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v6) | ~
% 274.66/45.50 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v4) | ~
% 274.66/45.50 | (hAPP_int_bool(v6, v3) = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~
% 274.66/45.50 | int(v3) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v5) |
% 274.66/45.50 | hBOOL(v7) | ? [v8: int] : ? [v9: int] : ( ~ (v9 = v8) &
% 274.66/45.50 | minus_minus_int(v2, v3) = v9 & minus_minus_int(v0, v1) = v8 &
% 274.66/45.50 | int(v9) & int(v8)))
% 274.66/45.50 | (78) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 274.66/45.50 | fun_int_bool] : ! [v5: bool] : ! [v6: fun_int_bool] : ! [v7:
% 274.66/45.50 | bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v6) | ~
% 274.66/45.50 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v4) | ~
% 274.66/45.50 | (hAPP_int_bool(v6, v3) = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~
% 274.66/45.50 | int(v3) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v7) |
% 274.66/45.50 | hBOOL(v5) | ? [v8: int] : ? [v9: int] : ( ~ (v9 = v8) &
% 274.66/45.50 | minus_minus_int(v2, v3) = v9 & minus_minus_int(v0, v1) = v8 &
% 274.66/45.50 | int(v9) & int(v8)))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_445_semiring__mult__number__of) implies:
% 274.66/45.50 | (79) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, pls)
% 274.66/45.50 | = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3:
% 274.66/45.50 | bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~
% 274.66/45.50 | (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~ int(v1) | ~
% 274.66/45.50 | hBOOL(v4) | ~ hBOOL(v3) | ? [v5: real] : ? [v6: real] : ? [v7:
% 274.66/45.50 | real] : ? [v8: int] : (times_times_real(v5, v6) = v7 &
% 274.66/45.50 | times_times_int(v2, v1) = v8 & number267125858f_real(v8) = v7 &
% 274.66/45.50 | number267125858f_real(v2) = v5 & number267125858f_real(v1) = v6
% 274.66/45.50 | & real(v7) & real(v6) & real(v5) & int(v8))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_446_semiring__mult__number__of) implies:
% 274.66/45.50 | (80) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, pls)
% 274.66/45.50 | = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3:
% 274.66/45.50 | bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~
% 274.66/45.50 | (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~ int(v1) | ~
% 274.66/45.50 | hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] : ? [v6: nat] : ? [v7:
% 274.66/45.50 | nat] : ? [v8: int] : (times_times_nat(v5, v6) = v7 &
% 274.66/45.50 | times_times_int(v2, v1) = v8 & number_number_of_nat(v8) = v7 &
% 274.66/45.50 | number_number_of_nat(v2) = v5 & number_number_of_nat(v1) = v6 &
% 274.66/45.50 | nat(v7) & nat(v6) & nat(v5) & int(v8))))
% 274.66/45.50 |
% 274.66/45.50 | ALPHA: (fact_447_semiring__mult__number__of) implies:
% 274.66/45.51 | (81) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, pls)
% 274.66/45.51 | = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: int] : ! [v3:
% 274.66/45.51 | bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~
% 274.66/45.51 | (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~ int(v1) | ~
% 274.66/45.51 | hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] : ? [v6: int] : ? [v7:
% 274.66/45.51 | int] : ? [v8: int] : (times_times_int(v5, v6) = v7 &
% 274.66/45.51 | times_times_int(v2, v1) = v8 & number_number_of_int(v8) = v7 &
% 274.66/45.51 | number_number_of_int(v2) = v5 & number_number_of_int(v1) = v6 &
% 274.66/45.51 | int(v8) & int(v7) & int(v6) & int(v5))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_479_split__mult__neg__le) implies:
% 274.66/45.51 | (82) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.51 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.51 | int(v1) | ? [v5: fun_int_bool] : ? [v6: bool] : ? [v7:
% 274.66/45.51 | fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10:
% 274.66/45.51 | fun_int_bool] : ? [v11: bool] : ((times_times_int(v2, v1) = v9
% 274.66/45.51 | & hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 &
% 274.66/45.51 | hAPP_int_bool(v10, zero_zero_int) = v11 & fun_int_bool(v10) &
% 274.66/45.51 | int(v9) & bool(v11) & hBOOL(v11)) | (( ~ hBOOL(v4) |
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v7 &
% 274.66/45.51 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 274.66/45.51 | bool(v8) & ~ hBOOL(v8))) & ( ~ hBOOL(v3) |
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v5 &
% 274.66/45.51 | hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) &
% 274.66/45.51 | bool(v6) & ~ hBOOL(v6)))))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_481_split__mult__pos__le) implies:
% 274.66/45.51 | (83) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.51 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.51 | int(v1) | ? [v5: fun_int_bool] : ? [v6: bool] : ? [v7:
% 274.66/45.51 | fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10: bool] :
% 274.66/45.51 | ((times_times_int(v2, v1) = v9 & hAPP_int_bool(v0, v9) = v10 &
% 274.66/45.51 | int(v9) & bool(v10) & hBOOL(v10)) | (( ~ hBOOL(v4) | ~
% 274.66/45.51 | hBOOL(v3)) & ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 274.66/45.51 | v5 & hAPP_int_bool(v5, zero_zero_int) = v6 &
% 274.66/45.51 | fun_int_bool(v5) & bool(v6) & ~ hBOOL(v6)) |
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 274.66/45.51 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 274.66/45.51 | bool(v8) & ~ hBOOL(v8)))))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_484_mult__mono) implies:
% 274.66/45.51 | (84) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6:
% 274.66/45.51 | fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.51 | (times_times_int(v4, v2) = v7) | ~ (times_times_int(v3, v1) = v5)
% 274.66/45.51 | | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~
% 274.66/45.51 | (hAPP_int_bool(v6, v7) = v8) | ~ int(v4) | ~ int(v3) | ~
% 274.66/45.51 | int(v2) | ~ int(v1) | hBOOL(v8) | ? [v9: fun_int_bool] : ?
% 274.66/45.51 | [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] : ? [v13:
% 274.66/45.51 | bool] : ? [v14: bool] :
% 274.66/45.51 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v9 &
% 274.66/45.51 | hAPP_int_bool(v9, v4) = v10 & fun_int_bool(v9) & bool(v10) &
% 274.66/45.51 | ~ hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 274.66/45.51 | v11 & hAPP_int_bool(v11, v2) = v12 & fun_int_bool(v11) &
% 274.66/45.51 | bool(v12) & ~ hBOOL(v12)) | (hAPP_int_bool(v0, v4) = v13 &
% 274.66/45.51 | bool(v13) & ~ hBOOL(v13)) | (hAPP_int_bool(v0, v1) = v14 &
% 274.66/45.51 | bool(v14) & ~ hBOOL(v14)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_487_mult__mono_H) implies:
% 274.66/45.51 | (85) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6:
% 274.66/45.51 | fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.51 | (times_times_int(v4, v2) = v7) | ~ (times_times_int(v3, v1) = v5)
% 274.66/45.51 | | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~
% 274.66/45.51 | (hAPP_int_bool(v6, v7) = v8) | ~ int(v4) | ~ int(v3) | ~
% 274.66/45.51 | int(v2) | ~ int(v1) | hBOOL(v8) | ? [v9: fun_int_bool] : ?
% 274.66/45.51 | [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] : ? [v13:
% 274.66/45.51 | bool] : ? [v14: bool] :
% 274.66/45.51 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v9 &
% 274.66/45.51 | hAPP_int_bool(v9, v4) = v10 & fun_int_bool(v9) & bool(v10) &
% 274.66/45.51 | ~ hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 274.66/45.51 | v11 & hAPP_int_bool(v11, v2) = v12 & fun_int_bool(v11) &
% 274.66/45.51 | bool(v12) & ~ hBOOL(v12)) | (hAPP_int_bool(v0, v3) = v13 &
% 274.66/45.51 | bool(v13) & ~ hBOOL(v13)) | (hAPP_int_bool(v0, v1) = v14 &
% 274.66/45.51 | bool(v14) & ~ hBOOL(v14)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_497_mult__left__mono) implies:
% 274.66/45.51 | (86) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.51 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v1, v3) = v6) | ~
% 274.66/45.51 | (times_times_int(v1, v2) = v4) | ~
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 274.66/45.51 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.51 | int(v1) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9: bool] : ?
% 274.66/45.51 | [v10: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v8 &
% 274.66/45.51 | hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 274.66/45.51 | hBOOL(v9)) | (hAPP_int_bool(v0, v1) = v10 & bool(v10) & ~
% 274.66/45.51 | hBOOL(v10)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_500_mult__right__mono) implies:
% 274.66/45.51 | (87) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.51 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v1) = v6) | ~
% 274.66/45.51 | (times_times_int(v2, v1) = v4) | ~
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 274.66/45.51 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.51 | int(v1) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9: bool] : ?
% 274.66/45.51 | [v10: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v8 &
% 274.66/45.51 | hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 274.66/45.51 | hBOOL(v9)) | (hAPP_int_bool(v0, v1) = v10 & bool(v10) & ~
% 274.66/45.51 | hBOOL(v10)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_502_mult__nonpos__nonpos) implies:
% 274.66/45.51 | (88) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: fun_int_bool] : ! [v4: fun_int_bool] : ( ~
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v3) | ~
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4) | ~ int(v2) |
% 274.66/45.51 | ~ int(v1) | ? [v5: bool] : ? [v6: bool] : ? [v7: int] : ? [v8:
% 274.66/45.51 | bool] : ((times_times_int(v2, v1) = v7 & hAPP_int_bool(v0, v7) =
% 274.66/45.51 | v8 & int(v7) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v4,
% 274.66/45.51 | zero_zero_int) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 274.66/45.51 | (hAPP_int_bool(v3, zero_zero_int) = v5 & bool(v5) & ~
% 274.66/45.51 | hBOOL(v5)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_505_mult__nonpos__nonneg) implies:
% 274.66/45.51 | (89) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v3) | ~
% 274.66/45.51 | (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~ int(v1) | ~
% 274.66/45.51 | hBOOL(v4) | ? [v5: bool] : ? [v6: int] : ? [v7: fun_int_bool] :
% 274.66/45.51 | ? [v8: bool] : ((times_times_int(v2, v1) = v6 &
% 274.66/45.51 | hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 &
% 274.66/45.51 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 274.66/45.51 | int(v6) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v3,
% 274.66/45.51 | zero_zero_int) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_508_mult__nonneg__nonpos2) implies:
% 274.66/45.51 | (90) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: bool] : ! [v4: fun_int_bool] : ( ~
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4) | ~
% 274.66/45.51 | (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ int(v1) | ~
% 274.66/45.51 | hBOOL(v3) | ? [v5: bool] : ? [v6: int] : ? [v7: fun_int_bool] :
% 274.66/45.51 | ? [v8: bool] : ((times_times_int(v1, v2) = v6 &
% 274.66/45.51 | hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 &
% 274.66/45.51 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 274.66/45.51 | int(v6) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v4,
% 274.66/45.51 | zero_zero_int) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_511_mult__nonneg__nonpos) implies:
% 274.66/45.51 | (91) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: bool] : ! [v4: fun_int_bool] : ( ~
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4) | ~
% 274.66/45.51 | (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ int(v1) | ~
% 274.66/45.51 | hBOOL(v3) | ? [v5: bool] : ? [v6: int] : ? [v7: fun_int_bool] :
% 274.66/45.51 | ? [v8: bool] : ((times_times_int(v2, v1) = v6 &
% 274.66/45.51 | hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 &
% 274.66/45.51 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 274.66/45.51 | int(v6) & bool(v8) & hBOOL(v8)) | (hAPP_int_bool(v4,
% 274.66/45.51 | zero_zero_int) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_512_transfer__nat__int__relations_I1_J) implies:
% 274.66/45.51 | (92) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.51 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.51 | int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] : ? [v6:
% 274.66/45.51 | nat] : (( ~ (v2 = v1) | (v6 = v5 & nat_1(v1) = v5 & nat(v5))) &
% 274.66/45.51 | (v2 = v1 | ( ~ (v6 = v5) & nat_1(v2) = v5 & nat_1(v1) = v6 &
% 274.66/45.51 | nat(v6) & nat(v5))))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_516_mult__nonneg__nonneg) implies:
% 274.66/45.51 | (93) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.51 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.51 | int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] : ? [v6:
% 274.66/45.51 | bool] : (times_times_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) =
% 274.66/45.51 | v6 & int(v5) & bool(v6) & hBOOL(v6))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_528_mult__le__0__iff) implies:
% 274.66/45.51 | (94) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.51 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.51 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.51 | = v4) | ~ (hAPP_int_bool(v0, v1) = v3) | ~ int(v2) | ~
% 274.66/45.51 | int(v1) | ? [v5: fun_int_bool] : ? [v6: bool] : ? [v7:
% 274.66/45.51 | fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10:
% 274.66/45.51 | fun_int_bool] : ? [v11: bool] : ((times_times_int(v1, v2) = v9
% 274.66/45.51 | & hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 &
% 274.66/45.51 | hAPP_int_bool(v10, zero_zero_int) = v11 & fun_int_bool(v10) &
% 274.66/45.51 | int(v9) & bool(v11) & hBOOL(v11)) | (( ~ hBOOL(v4) |
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 274.66/45.51 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 274.66/45.51 | bool(v8) & ~ hBOOL(v8))) & ( ~ hBOOL(v3) |
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v5 &
% 274.66/45.51 | hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) &
% 274.66/45.51 | bool(v6) & ~ hBOOL(v6)))))) & ! [v1: int] : ! [v2: int]
% 274.66/45.51 | : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2) = v4) |
% 274.66/45.51 | ~ (hAPP_int_bool(v0, v1) = v3) | ~ int(v2) | ~ int(v1) | ?
% 274.66/45.51 | [v5: int] : ? [v6: fun_int_bool] : ? [v7: bool] : ? [v8:
% 274.66/45.51 | fun_int_bool] : ? [v9: bool] : ? [v10: fun_int_bool] : ?
% 274.66/45.51 | [v11: bool] : ((times_times_int(v1, v2) = v5 &
% 274.66/45.51 | hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6 &
% 274.66/45.51 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 274.66/45.51 | int(v5) & bool(v7) & ~ hBOOL(v7)) |
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v8 &
% 274.66/45.51 | hAPP_int_bool(v8, zero_zero_int) = v9 & fun_int_bool(v8) &
% 274.66/45.51 | bool(v9) & hBOOL(v9) & hBOOL(v3)) |
% 274.66/45.51 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v10 &
% 274.66/45.51 | hAPP_int_bool(v10, zero_zero_int) = v11 & fun_int_bool(v10) &
% 274.66/45.51 | bool(v11) & hBOOL(v11) & hBOOL(v4)))))
% 274.66/45.51 |
% 274.66/45.51 | ALPHA: (fact_530_zero__le__mult__iff) implies:
% 274.66/45.52 | (95) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.52 | = v4) | ~ (hAPP_int_bool(v0, v1) = v3) | ~ int(v2) | ~
% 274.66/45.52 | int(v1) | hBOOL(v4) | ? [v5: int] : ? [v6: bool] : ? [v7:
% 274.66/45.52 | fun_int_bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10:
% 274.66/45.52 | bool] : ((times_times_int(v1, v2) = v5 & hAPP_int_bool(v0, v5) =
% 274.66/45.52 | v6 & int(v5) & bool(v6) & ~ hBOOL(v6)) |
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 &
% 274.66/45.52 | hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 274.66/45.52 | hAPP_int_bool(v9, zero_zero_int) = v10 & hAPP_int_bool(v7,
% 274.66/45.52 | zero_zero_int) = v8 & fun_int_bool(v9) & fun_int_bool(v7) &
% 274.66/45.52 | bool(v10) & bool(v8) & hBOOL(v10) & hBOOL(v8)))) & ! [v1:
% 274.66/45.52 | int] : ! [v2: int] : ! [v3: bool] : ! [v4: bool] : ( ~
% 274.66/45.52 | (hAPP_int_bool(v0, v2) = v4) | ~ (hAPP_int_bool(v0, v1) = v3) |
% 274.66/45.52 | ~ int(v2) | ~ int(v1) | hBOOL(v3) | ? [v5: int] : ? [v6: bool]
% 274.66/45.52 | : ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: fun_int_bool] :
% 274.66/45.52 | ? [v10: bool] : ((times_times_int(v1, v2) = v5 & hAPP_int_bool(v0,
% 274.66/45.52 | v5) = v6 & int(v5) & bool(v6) & ~ hBOOL(v6)) |
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 &
% 274.66/45.52 | hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 274.66/45.52 | hAPP_int_bool(v9, zero_zero_int) = v10 & hAPP_int_bool(v7,
% 274.66/45.52 | zero_zero_int) = v8 & fun_int_bool(v9) & fun_int_bool(v7) &
% 274.66/45.52 | bool(v10) & bool(v8) & hBOOL(v10) & hBOOL(v8)))) & ! [v1:
% 274.66/45.52 | int] : ! [v2: int] : ! [v3: bool] : ! [v4: bool] : ( ~
% 274.66/45.52 | (hAPP_int_bool(v0, v2) = v4) | ~ (hAPP_int_bool(v0, v1) = v3) |
% 274.66/45.52 | ~ int(v2) | ~ int(v1) | ? [v5: fun_int_bool] : ? [v6: bool] :
% 274.66/45.52 | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10:
% 274.66/45.52 | bool] : ((times_times_int(v1, v2) = v9 & hAPP_int_bool(v0, v9) =
% 274.66/45.52 | v10 & int(v9) & bool(v10) & hBOOL(v10)) | (( ~ hBOOL(v4) | ~
% 274.66/45.52 | hBOOL(v3)) & ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 274.66/45.52 | v7 & hAPP_int_bool(v7, zero_zero_int) = v8 &
% 274.66/45.52 | fun_int_bool(v7) & bool(v8) & ~ hBOOL(v8)) |
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v5 &
% 274.66/45.52 | hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) &
% 274.66/45.52 | bool(v6) & ~ hBOOL(v6)))))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_531_all__nat) implies:
% 274.66/45.52 | (96) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: fun_nat_bool] :
% 274.66/45.52 | ! [v2: nat] : ! [v3: bool] : ( ~ (hAPP_nat_bool(v1, v2) = v3) | ~
% 274.66/45.52 | fun_nat_bool(v1) | ~ nat(v2) | hBOOL(v3) | ? [v4: int] : ? [v5:
% 274.66/45.52 | bool] : ? [v6: nat] : ? [v7: bool] : (nat_1(v4) = v6 &
% 274.66/45.52 | hAPP_nat_bool(v1, v6) = v7 & hAPP_int_bool(v0, v4) = v5 &
% 274.66/45.52 | nat(v6) & int(v4) & bool(v7) & bool(v5) & hBOOL(v5) & ~
% 274.66/45.52 | hBOOL(v7))) & ? [v1: fun_nat_bool] : ! [v2: int] : ! [v3:
% 274.66/45.52 | bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ fun_nat_bool(v1) |
% 274.66/45.52 | ~ int(v2) | ~ hBOOL(v3) | ? [v4: nat] : ? [v5: bool] : ? [v6:
% 274.66/45.52 | nat] : ? [v7: bool] : (nat(v6) & ((nat_1(v2) = v4 &
% 274.66/45.52 | hAPP_nat_bool(v1, v4) = v5 & nat(v4) & bool(v5) & hBOOL(v5))
% 274.66/45.52 | | (hAPP_nat_bool(v1, v6) = v7 & bool(v7) & ~ hBOOL(v7))))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_532_ex__nat) implies:
% 274.66/45.52 | (97) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: fun_nat_bool] :
% 274.66/45.52 | ! [v2: nat] : ! [v3: bool] : ( ~ (hAPP_nat_bool(v1, v2) = v3) | ~
% 274.66/45.52 | fun_nat_bool(v1) | ~ nat(v2) | ~ hBOOL(v3) | ? [v4: int] : ?
% 274.66/45.52 | [v5: bool] : ? [v6: nat] : ? [v7: bool] : (nat_1(v4) = v6 &
% 274.66/45.52 | hAPP_nat_bool(v1, v6) = v7 & hAPP_int_bool(v0, v4) = v5 &
% 274.66/45.52 | nat(v6) & int(v4) & bool(v7) & bool(v5) & hBOOL(v7) &
% 274.66/45.52 | hBOOL(v5))) & ? [v1: fun_nat_bool] : ! [v2: int] : ! [v3:
% 274.66/45.52 | bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ fun_nat_bool(v1) |
% 274.66/45.52 | ~ int(v2) | ~ hBOOL(v3) | ? [v4: nat] : ? [v5: bool] : ? [v6:
% 274.66/45.52 | nat] : ? [v7: bool] : (nat(v4) & ((nat_1(v2) = v6 &
% 274.66/45.52 | hAPP_nat_bool(v1, v6) = v7 & nat(v6) & bool(v7) & ~
% 274.66/45.52 | hBOOL(v7)) | (hAPP_nat_bool(v1, v4) = v5 & bool(v5) &
% 274.66/45.52 | hBOOL(v5))))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_534_zero__le__square) implies:
% 274.66/45.52 | (98) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ( ~ (times_times_int(v1, v1) = v2) | ~ int(v1) | ? [v3:
% 274.66/45.52 | bool] : (hAPP_int_bool(v0, v2) = v3 & bool(v3) & hBOOL(v3))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_543_mult__left__le__imp__le) implies:
% 274.66/45.52 | (99) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.52 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v1, v3) = v6) | ~
% 274.66/45.52 | (times_times_int(v1, v2) = v4) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 274.66/45.52 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.52 | int(v1) | ~ hBOOL(v7) | ? [v8: bool] : ? [v9: fun_int_bool] :
% 274.66/45.52 | ? [v10: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9
% 274.66/45.52 | & hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9) & bool(v10) &
% 274.66/45.52 | hBOOL(v10)) | (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~
% 274.66/45.52 | hBOOL(v8)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_546_mult__right__le__imp__le) implies:
% 274.66/45.52 | (100) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.52 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v2) = v6) | ~
% 274.66/45.52 | (times_times_int(v1, v2) = v4) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 274.66/45.52 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.52 | int(v1) | ~ hBOOL(v7) | ? [v8: bool] : ? [v9: fun_int_bool] :
% 274.66/45.52 | ? [v10: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 274.66/45.52 | v9 & hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9) &
% 274.66/45.52 | bool(v10) & hBOOL(v10)) | (hAPP_int_bool(v0, v2) = v8 &
% 274.66/45.52 | bool(v8) & ~ hBOOL(v8)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_552_mult__left__less__imp__less) implies:
% 274.66/45.52 | (101) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.52 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v1, v3) = v6) | ~
% 274.66/45.52 | (times_times_int(v1, v2) = v4) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 274.66/45.52 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.52 | int(v1) | ~ hBOOL(v7) | ? [v8: bool] : ? [v9: fun_int_bool] :
% 274.66/45.52 | ? [v10: bool] : ((hAPP_i1948725293t_bool(ord_less_int, v2) = v9 &
% 274.66/45.52 | hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9) & bool(v10) &
% 274.66/45.52 | hBOOL(v10)) | (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~
% 274.66/45.52 | hBOOL(v8)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_558_mult__right__less__imp__less) implies:
% 274.66/45.52 | (102) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.52 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v2) = v6) | ~
% 274.66/45.52 | (times_times_int(v1, v2) = v4) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 274.66/45.52 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.52 | int(v1) | ~ hBOOL(v7) | ? [v8: bool] : ? [v9: fun_int_bool] :
% 274.66/45.52 | ? [v10: bool] : ((hAPP_i1948725293t_bool(ord_less_int, v1) = v9 &
% 274.66/45.52 | hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9) & bool(v10) &
% 274.66/45.52 | hBOOL(v10)) | (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~
% 274.66/45.52 | hBOOL(v8)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_561_mult__le__less__imp__less) implies:
% 274.66/45.52 | (103) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 274.66/45.52 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.52 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.52 | ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7: fun_int_bool]
% 274.66/45.52 | : ! [v8: int] : ! [v9: bool] : ( ~ (times_times_int(v5, v3) = v8)
% 274.66/45.52 | | ~ (times_times_int(v4, v2) = v6) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_int, v6) = v7) | ~
% 274.66/45.52 | (hAPP_int_bool(v7, v8) = v9) | ~ int(v5) | ~ int(v4) | ~
% 274.66/45.52 | int(v3) | ~ int(v2) | hBOOL(v9) | ? [v10: fun_int_bool] : ?
% 274.66/45.52 | [v11: bool] : ? [v12: fun_int_bool] : ? [v13: bool] : ? [v14:
% 274.66/45.52 | bool] : ? [v15: bool] :
% 274.66/45.52 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v10 &
% 274.66/45.52 | hAPP_int_bool(v10, v5) = v11 & fun_int_bool(v10) & bool(v11)
% 274.66/45.52 | & ~ hBOOL(v11)) | (hAPP_i1948725293t_bool(ord_less_int, v2)
% 274.66/45.52 | = v12 & hAPP_int_bool(v12, v3) = v13 & fun_int_bool(v12) &
% 274.66/45.52 | bool(v13) & ~ hBOOL(v13)) | (hAPP_int_bool(v1, v2) = v15 &
% 274.66/45.52 | bool(v15) & ~ hBOOL(v15)) | (hAPP_int_bool(v0, v4) = v14 &
% 274.66/45.52 | bool(v14) & ~ hBOOL(v14)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_564_mult__less__le__imp__less) implies:
% 274.66/45.52 | (104) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.52 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.52 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.52 | ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7: fun_int_bool]
% 274.66/45.52 | : ! [v8: int] : ! [v9: bool] : ( ~ (times_times_int(v5, v3) = v8)
% 274.66/45.52 | | ~ (times_times_int(v4, v2) = v6) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_int, v6) = v7) | ~
% 274.66/45.52 | (hAPP_int_bool(v7, v8) = v9) | ~ int(v5) | ~ int(v4) | ~
% 274.66/45.52 | int(v3) | ~ int(v2) | hBOOL(v9) | ? [v10: fun_int_bool] : ?
% 274.66/45.52 | [v11: bool] : ? [v12: fun_int_bool] : ? [v13: bool] : ? [v14:
% 274.66/45.52 | bool] : ? [v15: bool] :
% 274.66/45.52 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v12 &
% 274.66/45.52 | hAPP_int_bool(v12, v3) = v13 & fun_int_bool(v12) & bool(v13)
% 274.66/45.52 | & ~ hBOOL(v13)) | (hAPP_i1948725293t_bool(ord_less_int, v4)
% 274.66/45.52 | = v10 & hAPP_int_bool(v10, v5) = v11 & fun_int_bool(v10) &
% 274.66/45.52 | bool(v11) & ~ hBOOL(v11)) | (hAPP_int_bool(v1, v2) = v15 &
% 274.66/45.52 | bool(v15) & ~ hBOOL(v15)) | (hAPP_int_bool(v0, v4) = v14 &
% 274.66/45.52 | bool(v14) & ~ hBOOL(v14)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_567_mult__strict__mono_H) implies:
% 274.66/45.52 | (105) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6:
% 274.66/45.52 | fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.52 | (times_times_int(v4, v2) = v7) | ~ (times_times_int(v3, v1) =
% 274.66/45.52 | v5) | ~ (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 274.66/45.52 | (hAPP_int_bool(v6, v7) = v8) | ~ int(v4) | ~ int(v3) | ~
% 274.66/45.52 | int(v2) | ~ int(v1) | hBOOL(v8) | ? [v9: fun_int_bool] : ?
% 274.66/45.52 | [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] : ? [v13:
% 274.66/45.52 | bool] : ? [v14: bool] : ((hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.52 | v3) = v9 & hAPP_int_bool(v9, v4) = v10 & fun_int_bool(v9) &
% 274.66/45.52 | bool(v10) & ~ hBOOL(v10)) |
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v11 &
% 274.66/45.52 | hAPP_int_bool(v11, v2) = v12 & fun_int_bool(v11) & bool(v12)
% 274.66/45.52 | & ~ hBOOL(v12)) | (hAPP_int_bool(v0, v3) = v13 & bool(v13) &
% 274.66/45.52 | ~ hBOOL(v13)) | (hAPP_int_bool(v0, v1) = v14 & bool(v14) &
% 274.66/45.52 | ~ hBOOL(v14)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_570_mult__strict__mono) implies:
% 274.66/45.52 | (106) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 274.66/45.52 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.52 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.52 | ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7: fun_int_bool]
% 274.66/45.52 | : ! [v8: int] : ! [v9: bool] : ( ~ (times_times_int(v5, v3) = v8)
% 274.66/45.52 | | ~ (times_times_int(v4, v2) = v6) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_int, v6) = v7) | ~
% 274.66/45.52 | (hAPP_int_bool(v7, v8) = v9) | ~ int(v5) | ~ int(v4) | ~
% 274.66/45.52 | int(v3) | ~ int(v2) | hBOOL(v9) | ? [v10: fun_int_bool] : ?
% 274.66/45.52 | [v11: bool] : ? [v12: fun_int_bool] : ? [v13: bool] : ? [v14:
% 274.66/45.52 | bool] : ? [v15: bool] : ((hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.52 | v4) = v10 & hAPP_int_bool(v10, v5) = v11 &
% 274.66/45.52 | fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11)) |
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v12 &
% 274.66/45.52 | hAPP_int_bool(v12, v3) = v13 & fun_int_bool(v12) & bool(v13)
% 274.66/45.52 | & ~ hBOOL(v13)) | (hAPP_int_bool(v1, v2) = v15 & bool(v15) &
% 274.66/45.52 | ~ hBOOL(v15)) | (hAPP_int_bool(v0, v5) = v14 & bool(v14) &
% 274.66/45.52 | ~ hBOOL(v14)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_574_mult__le__cancel__left__pos) implies:
% 274.66/45.52 | (107) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.52 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v2) = v6) | ~
% 274.66/45.52 | (times_times_int(v3, v1) = v4) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 274.66/45.52 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.52 | int(v1) | ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool]
% 274.66/45.52 | : ((hAPP_int_bool(v0, v3) = v8 & bool(v8) & ~ hBOOL(v8)) | (( ~
% 274.66/45.52 | hBOOL(v7) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 274.66/45.52 | v9 & hAPP_int_bool(v9, v2) = v10 & fun_int_bool(v9) &
% 274.66/45.52 | bool(v10) & hBOOL(v10))) & (hBOOL(v7) |
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v9 &
% 274.66/45.52 | hAPP_int_bool(v9, v2) = v10 & fun_int_bool(v9) &
% 274.66/45.52 | bool(v10) & ~ hBOOL(v10)))))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_576_sum__squares__ge__zero) implies:
% 274.66/45.52 | (108) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ( ~
% 274.66/45.52 | (times_times_int(v2, v2) = v4) | ~ (times_times_int(v1, v1) =
% 274.66/45.52 | v3) | ~ (plus_plus_int(v3, v4) = v5) | ~ int(v2) | ~ int(v1)
% 274.66/45.52 | | ? [v6: bool] : (hAPP_int_bool(v0, v5) = v6 & bool(v6) &
% 274.66/45.52 | hBOOL(v6))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_580_mult__right__le__one__le) implies:
% 274.66/45.52 | (109) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ( ~
% 274.66/45.52 | (times_times_int(v2, v1) = v3) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 274.66/45.52 | (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) |
% 274.66/45.52 | hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ? [v8: fun_int_bool]
% 274.66/45.52 | : ? [v9: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 274.66/45.52 | v8 & hAPP_int_bool(v8, one_one_int) = v9 & fun_int_bool(v8) &
% 274.66/45.52 | bool(v9) & ~ hBOOL(v9)) | (hAPP_int_bool(v0, v2) = v6 &
% 274.66/45.52 | bool(v6) & ~ hBOOL(v6)) | (hAPP_int_bool(v0, v1) = v7 &
% 274.66/45.52 | bool(v7) & ~ hBOOL(v7)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_582_mult__left__le__one__le) implies:
% 274.66/45.52 | (110) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.52 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.52 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ( ~
% 274.66/45.52 | (times_times_int(v1, v2) = v3) | ~
% 274.66/45.52 | (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 274.66/45.52 | (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) |
% 274.66/45.52 | hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ? [v8: fun_int_bool]
% 274.66/45.52 | : ? [v9: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 274.66/45.52 | v8 & hAPP_int_bool(v8, one_one_int) = v9 & fun_int_bool(v8) &
% 274.66/45.52 | bool(v9) & ~ hBOOL(v9)) | (hAPP_int_bool(v0, v2) = v6 &
% 274.66/45.52 | bool(v6) & ~ hBOOL(v6)) | (hAPP_int_bool(v0, v1) = v7 &
% 274.66/45.52 | bool(v7) & ~ hBOOL(v7)))))
% 274.66/45.52 |
% 274.66/45.52 | ALPHA: (fact_588_int__nat__eq) implies:
% 274.66/45.53 | (111) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.53 | bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~
% 274.66/45.53 | hBOOL(v2) | ? [v3: nat] : (nat_1(v1) = v3 &
% 274.66/45.53 | hAPP_nat_int(semiri1621563631at_int, v3) = v1 & nat(v3))) & !
% 274.66/45.53 | [v1: int] : ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~
% 274.66/45.53 | int(v1) | hBOOL(v2) | ? [v3: nat] : (nat_1(v1) = v3 &
% 274.66/45.53 | hAPP_nat_int(semiri1621563631at_int, v3) = zero_zero_int &
% 274.66/45.53 | nat(v3))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_589_int__eq__iff) implies:
% 274.66/45.53 | (112) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.53 | int] : ! [v3: bool] : ! [v4: int] : (v4 = v2 | ~
% 274.66/45.53 | (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~
% 274.66/45.53 | (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) | ~
% 274.66/45.53 | hBOOL(v3) | ? [v5: nat] : ( ~ (v5 = v1) & nat_1(v2) = v5 &
% 274.66/45.53 | nat(v5))) & ! [v1: nat] : ! [v2: int] : ! [v3: bool] : ( ~
% 274.66/45.53 | (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~
% 274.66/45.53 | (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) |
% 274.66/45.53 | nat_1(v2) = v1) & ! [v1: nat] : ! [v2: int] : ! [v3: bool] : (
% 274.66/45.53 | ~ (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~
% 274.66/45.53 | (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) |
% 274.66/45.53 | hBOOL(v3)))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_590_nat__0__le) implies:
% 274.66/45.53 | (113) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.53 | bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~
% 274.66/45.53 | hBOOL(v2) | ? [v3: nat] : (nat_1(v1) = v3 &
% 274.66/45.53 | hAPP_nat_int(semiri1621563631at_int, v3) = v1 & nat(v3))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_599_diff__eq__diff__less) implies:
% 274.66/45.53 | (114) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 274.66/45.53 | fun_int_bool] : ! [v5: bool] : ! [v6: fun_int_bool] : ! [v7:
% 274.66/45.53 | bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v2) = v6) | ~
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v4) | ~
% 274.66/45.53 | (hAPP_int_bool(v6, v3) = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~
% 274.66/45.53 | int(v3) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v5) |
% 274.66/45.53 | hBOOL(v7) | ? [v8: int] : ? [v9: int] : ( ~ (v9 = v8) &
% 274.66/45.53 | minus_minus_int(v2, v3) = v9 & minus_minus_int(v0, v1) = v8 &
% 274.66/45.53 | int(v9) & int(v8)))
% 274.66/45.53 | (115) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 274.66/45.53 | fun_int_bool] : ! [v5: bool] : ! [v6: fun_int_bool] : ! [v7:
% 274.66/45.53 | bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v2) = v6) | ~
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v4) | ~
% 274.66/45.53 | (hAPP_int_bool(v6, v3) = v7) | ~ (hAPP_int_bool(v4, v1) = v5) | ~
% 274.66/45.53 | int(v3) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v7) |
% 274.66/45.53 | hBOOL(v5) | ? [v8: int] : ? [v9: int] : ( ~ (v9 = v8) &
% 274.66/45.53 | minus_minus_int(v2, v3) = v9 & minus_minus_int(v0, v1) = v8 &
% 274.66/45.53 | int(v9) & int(v8)))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_712_rel__simps_I19_J) implies:
% 274.66/45.53 | (116) ? [v0: fun_int_bool] : ? [v1: bool] :
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 &
% 274.66/45.53 | hAPP_int_bool(v0, pls) = v1 & fun_int_bool(v0) & bool(v1) &
% 274.66/45.53 | hBOOL(v1))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_715_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 274.66/45.53 | implies:
% 274.66/45.53 | (117) ? [v0: fun_int_bool] : ? [v1: bool] :
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.53 | hAPP_int_bool(v0, zero_zero_int) = v1 & fun_int_bool(v0) & bool(v1)
% 274.66/45.53 | & hBOOL(v1))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_725_convex__bound__le) implies:
% 274.66/45.53 | (118) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.53 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int]
% 274.66/45.53 | : ! [v7: int] : ! [v8: int] : ! [v9: fun_int_bool] : ! [v10:
% 274.66/45.53 | bool] : ( ~ (times_times_int(v2, v4) = v6) | ~
% 274.66/45.53 | (times_times_int(v1, v3) = v7) | ~
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, v8) = v9) | ~
% 274.66/45.53 | (plus_plus_int(v6, v7) = v8) | ~ (hAPP_int_bool(v9, v5) = v10) |
% 274.66/45.53 | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ int(v1) |
% 274.66/45.53 | hBOOL(v10) | ? [v11: fun_int_bool] : ? [v12: bool] : ? [v13:
% 274.66/45.53 | fun_int_bool] : ? [v14: bool] : ? [v15: bool] : ? [v16:
% 274.66/45.53 | bool] : ? [v17: int] : (( ~ (v17 = one_one_int) &
% 274.66/45.53 | plus_plus_int(v2, v1) = v17 & int(v17)) |
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v11 &
% 274.66/45.53 | hAPP_int_bool(v11, v5) = v12 & fun_int_bool(v11) & bool(v12)
% 274.66/45.53 | & ~ hBOOL(v12)) | (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | v3) = v13 & hAPP_int_bool(v13, v5) = v14 &
% 274.66/45.53 | fun_int_bool(v13) & bool(v14) & ~ hBOOL(v14)) |
% 274.66/45.53 | (hAPP_int_bool(v0, v2) = v15 & bool(v15) & ~ hBOOL(v15)) |
% 274.66/45.53 | (hAPP_int_bool(v0, v1) = v16 & bool(v16) & ~ hBOOL(v16)))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_726_transfer__nat__int__relations_I2_J) implies:
% 274.66/45.53 | (119) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.53 | int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5: nat] : !
% 274.66/45.53 | [v6: bool] : ( ~ (nat_1(v2) = v3) | ~ (nat_1(v1) = v5) | ~
% 274.66/45.53 | (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 274.66/45.53 | (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7:
% 274.66/45.53 | bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool]
% 274.66/45.53 | : ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 274.66/45.53 | (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~ hBOOL(v8)) | (( ~
% 274.66/45.53 | hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_int, v2) = v9
% 274.66/45.53 | & hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) &
% 274.66/45.53 | bool(v10) & hBOOL(v10))) & (hBOOL(v6) |
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v9 &
% 274.66/45.53 | hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) &
% 274.66/45.53 | bool(v10) & ~ hBOOL(v10)))))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_727_nat__less__eq__zless) implies:
% 274.66/45.53 | (120) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.53 | int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5: nat] : !
% 274.66/45.53 | [v6: bool] : ( ~ (nat_1(v2) = v3) | ~ (nat_1(v1) = v5) | ~
% 274.66/45.53 | (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 274.66/45.53 | (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7:
% 274.66/45.53 | bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 274.66/45.53 | ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) | (( ~
% 274.66/45.53 | hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_int, v2) = v8
% 274.66/45.53 | & hAPP_int_bool(v8, v1) = v9 & fun_int_bool(v8) &
% 274.66/45.53 | bool(v9) & hBOOL(v9))) & (hBOOL(v6) |
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v8 &
% 274.66/45.53 | hAPP_int_bool(v8, v1) = v9 & fun_int_bool(v8) & bool(v9)
% 274.66/45.53 | & ~ hBOOL(v9)))))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_728_le__special_I1_J) implies:
% 274.66/45.53 | (121) ? [v0: fun_real_bool] : ? [v1: fun_int_bool] :
% 274.66/45.53 | (hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = v0 &
% 274.66/45.53 | hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 &
% 274.66/45.53 | fun_real_bool(v0) & fun_int_bool(v1) & ! [v2: int] : ! [v3: bool]
% 274.66/45.53 | : ( ~ (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 274.66/45.53 | [v4: real] : ? [v5: bool] : (hAPP_real_bool(v0, v4) = v5 &
% 274.66/45.53 | number267125858f_real(v2) = v4 & real(v4) & bool(v5) &
% 274.66/45.53 | hBOOL(v5))) & ! [v2: int] : ! [v3: bool] : ( ~
% 274.66/45.53 | (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4:
% 274.66/45.53 | real] : ? [v5: bool] : (hAPP_real_bool(v0, v4) = v5 &
% 274.66/45.53 | number267125858f_real(v2) = v4 & real(v4) & bool(v5) & ~
% 274.66/45.53 | hBOOL(v5))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_729_le__special_I1_J) implies:
% 274.66/45.53 | (122) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 &
% 274.66/45.53 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.53 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool]
% 274.66/45.53 | : ( ~ (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 274.66/45.53 | [v4: int] : ? [v5: bool] : (number_number_of_int(v2) = v4 &
% 274.66/45.53 | hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & hBOOL(v5))) &
% 274.66/45.53 | ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) |
% 274.66/45.53 | ~ int(v2) | hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 274.66/45.53 | (number_number_of_int(v2) = v4 & hAPP_int_bool(v0, v4) = v5 &
% 274.66/45.53 | int(v4) & bool(v5) & ~ hBOOL(v5))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_734_power__decreasing) implies:
% 274.66/45.53 | (123) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.53 | nat] : ! [v3: nat] : ! [v4: fun_nat_int] : ! [v5: int] : !
% 274.66/45.53 | [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.53 | (power_power_int(v1) = v4) | ~
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~
% 274.66/45.53 | (hAPP_nat_int(v4, v3) = v5) | ~ (hAPP_nat_int(v4, v2) = v7) | ~
% 274.66/45.53 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v3) | ~ nat(v2) | ~
% 274.66/45.53 | int(v1) | hBOOL(v8) | ? [v9: fun_nat_bool] : ? [v10: bool] : ?
% 274.66/45.53 | [v11: bool] : ? [v12: fun_int_bool] : ? [v13: bool] :
% 274.66/45.53 | ((hAPP_n1699378549t_bool(ord_less_eq_nat, v2) = v9 &
% 274.66/45.53 | hAPP_nat_bool(v9, v3) = v10 & fun_nat_bool(v9) & bool(v10) &
% 274.66/45.53 | ~ hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1)
% 274.66/45.53 | = v12 & hAPP_int_bool(v12, one_one_int) = v13 &
% 274.66/45.53 | fun_int_bool(v12) & bool(v13) & ~ hBOOL(v13)) |
% 274.66/45.53 | (hAPP_int_bool(v0, v1) = v11 & bool(v11) & ~ hBOOL(v11)))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_737_power__increasing__iff) implies:
% 274.66/45.53 | (124) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.53 | one_one_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.53 | nat] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : !
% 274.66/45.53 | [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.53 | (power_power_int(v3) = v4) | ~
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~
% 274.66/45.53 | (hAPP_nat_int(v4, v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5) | ~
% 274.66/45.53 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v2) | ~ nat(v1) | ~
% 274.66/45.53 | int(v3) | ? [v9: bool] : ? [v10: fun_nat_bool] : ? [v11: bool]
% 274.66/45.53 | : ((hAPP_int_bool(v0, v3) = v9 & bool(v9) & ~ hBOOL(v9)) | (( ~
% 274.66/45.53 | hBOOL(v8) | (hAPP_n1699378549t_bool(ord_less_eq_nat, v1) =
% 274.66/45.53 | v10 & hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) &
% 274.66/45.53 | bool(v11) & hBOOL(v11))) & (hBOOL(v8) |
% 274.66/45.53 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v1) = v10 &
% 274.66/45.53 | hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) &
% 274.66/45.53 | bool(v11) & ~ hBOOL(v11)))))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_740_power__le__imp__le__exp) implies:
% 274.66/45.53 | (125) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.53 | one_one_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.53 | nat] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : !
% 274.66/45.53 | [v6: fun_int_bool] : ! [v7: int] : ! [v8: bool] : ( ~
% 274.66/45.53 | (power_power_int(v3) = v4) | ~
% 274.66/45.53 | (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6) | ~
% 274.66/45.53 | (hAPP_nat_int(v4, v2) = v7) | ~ (hAPP_nat_int(v4, v1) = v5) | ~
% 274.66/45.53 | (hAPP_int_bool(v6, v7) = v8) | ~ nat(v2) | ~ nat(v1) | ~
% 274.66/45.53 | int(v3) | ~ hBOOL(v8) | ? [v9: bool] : ? [v10: fun_nat_bool] :
% 274.66/45.53 | ? [v11: bool] : ((hAPP_n1699378549t_bool(ord_less_eq_nat, v1) =
% 274.66/45.53 | v10 & hAPP_nat_bool(v10, v2) = v11 & fun_nat_bool(v10) &
% 274.66/45.53 | bool(v11) & hBOOL(v11)) | (hAPP_int_bool(v0, v3) = v9 &
% 274.66/45.53 | bool(v9) & ~ hBOOL(v9)))))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_741_nat__eq__iff2) implies:
% 274.66/45.53 | (126) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.53 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.53 | int] : ! [v3: bool] : ! [v4: int] : (v4 = v2 | ~
% 274.66/45.53 | (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~
% 274.66/45.53 | (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) | ~
% 274.66/45.53 | hBOOL(v3) | ? [v5: nat] : ( ~ (v5 = v1) & nat_1(v2) = v5 &
% 274.66/45.53 | nat(v5))) & ! [v1: nat] : ! [v2: int] : ! [v3: bool] : !
% 274.66/45.53 | [v4: int] : (v1 = zero_zero_nat | ~
% 274.66/45.53 | (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~
% 274.66/45.53 | (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) |
% 274.66/45.53 | hBOOL(v3) | ? [v5: nat] : ( ~ (v5 = v1) & nat_1(v2) = v5 &
% 274.66/45.53 | nat(v5))) & ! [v1: nat] : ! [v2: int] : ! [v3: bool] : ( ~
% 274.66/45.53 | (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~
% 274.66/45.53 | (hAPP_int_bool(v0, v2) = v3) | ~ nat(v1) | ~ int(v2) | ~
% 274.66/45.53 | hBOOL(v3) | nat_1(v2) = v1) & ! [v1: int] : ! [v2: bool] : !
% 274.66/45.53 | [v3: int] : ( ~ (hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.53 | zero_zero_nat) = v3) | ~ (hAPP_int_bool(v0, v1) = v2) | ~
% 274.66/45.53 | int(v1) | nat_1(v1) = zero_zero_nat | hBOOL(v2)) & ! [v1: int] :
% 274.66/45.53 | ! [v2: bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.53 | zero_zero_nat) = v1) | ~ (hAPP_int_bool(v0, v1) = v2) | ~
% 274.66/45.53 | int(v1) | nat_1(v1) = zero_zero_nat))
% 274.66/45.53 |
% 274.66/45.53 | ALPHA: (fact_742_nat__eq__iff) implies:
% 274.66/45.54 | (127) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.54 | nat] : ! [v3: bool] : ! [v4: int] : (v4 = v1 | ~
% 274.66/45.54 | (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~
% 274.66/45.54 | (hAPP_int_bool(v0, v1) = v3) | ~ nat(v2) | ~ int(v1) | ~
% 274.66/45.54 | hBOOL(v3) | ? [v5: nat] : ( ~ (v5 = v2) & nat_1(v1) = v5 &
% 274.66/45.54 | nat(v5))) & ! [v1: int] : ! [v2: nat] : ! [v3: bool] : !
% 274.66/45.54 | [v4: int] : (v2 = zero_zero_nat | ~
% 274.66/45.54 | (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~
% 274.66/45.54 | (hAPP_int_bool(v0, v1) = v3) | ~ nat(v2) | ~ int(v1) |
% 274.66/45.54 | hBOOL(v3) | ? [v5: nat] : ( ~ (v5 = v2) & nat_1(v1) = v5 &
% 274.66/45.54 | nat(v5))) & ! [v1: int] : ! [v2: nat] : ! [v3: bool] : ( ~
% 274.66/45.54 | (hAPP_nat_int(semiri1621563631at_int, v2) = v1) | ~
% 274.66/45.54 | (hAPP_int_bool(v0, v1) = v3) | ~ nat(v2) | ~ int(v1) | ~
% 274.66/45.54 | hBOOL(v3) | nat_1(v1) = v2) & ! [v1: int] : ! [v2: bool] : !
% 274.66/45.54 | [v3: int] : ( ~ (hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.54 | zero_zero_nat) = v3) | ~ (hAPP_int_bool(v0, v1) = v2) | ~
% 274.66/45.54 | int(v1) | nat_1(v1) = zero_zero_nat | hBOOL(v2)) & ! [v1: int] :
% 274.66/45.54 | ! [v2: bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.54 | zero_zero_nat) = v1) | ~ (hAPP_int_bool(v0, v1) = v2) | ~
% 274.66/45.54 | int(v1) | nat_1(v1) = zero_zero_nat))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_743_Nat__Transfer_Otransfer__nat__int__functions_I1_J) implies:
% 274.66/45.54 | (128) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.54 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.54 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.54 | int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] : ? [v6:
% 274.66/45.54 | nat] : ? [v7: nat] : ? [v8: int] : (nat_1(v8) = v7 &
% 274.66/45.54 | nat_1(v2) = v5 & nat_1(v1) = v6 & plus_plus_nat(v5, v6) = v7 &
% 274.66/45.54 | plus_plus_int(v2, v1) = v8 & nat(v7) & nat(v6) & nat(v5) &
% 274.66/45.54 | int(v8))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_744_nat__add__distrib) implies:
% 274.66/45.54 | (129) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.54 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.54 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.54 | int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] : ? [v6:
% 274.66/45.54 | nat] : ? [v7: nat] : ? [v8: nat] : (nat_1(v5) = v6 &
% 274.66/45.54 | nat_1(v2) = v7 & nat_1(v1) = v8 & plus_plus_nat(v7, v8) = v6 &
% 274.66/45.54 | plus_plus_int(v2, v1) = v5 & nat(v8) & nat(v7) & nat(v6) &
% 274.66/45.54 | int(v5))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_745_int__eq__iff__number__of) implies:
% 274.66/45.54 | (130) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.54 | int] : ! [v3: int] : ! [v4: int] : (v4 = v3 | ~
% 274.66/45.54 | (number_number_of_int(v2) = v3) | ~
% 274.66/45.54 | (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~ nat(v1) | ~
% 274.66/45.54 | int(v2) | ? [v5: nat] : ? [v6: bool] : (( ~ (v5 = v1) &
% 274.66/45.54 | nat_1(v3) = v5 & nat(v5)) | (hAPP_int_bool(v0, v3) = v6 &
% 274.66/45.54 | bool(v6) & ~ hBOOL(v6)))) & ! [v1: nat] : ! [v2: int] : !
% 274.66/45.54 | [v3: int] : ( ~ (number_number_of_int(v2) = v3) | ~
% 274.66/45.54 | (hAPP_nat_int(semiri1621563631at_int, v1) = v3) | ~ nat(v1) | ~
% 274.66/45.54 | int(v2) | ? [v4: bool] : (nat_1(v3) = v1 & hAPP_int_bool(v0, v3)
% 274.66/45.54 | = v4 & bool(v4) & hBOOL(v4))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_747_nat__power__eq) implies:
% 274.66/45.54 | (131) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.54 | int] : ! [v3: nat] : ! [v4: fun_nat_nat] : ! [v5: nat] : ( ~
% 274.66/45.54 | (nat_1(v2) = v3) | ~ (power_power_nat(v3) = v4) | ~
% 274.66/45.54 | (hAPP_nat_nat(v4, v1) = v5) | ~ nat(v1) | ~ int(v2) | ? [v6:
% 274.66/45.54 | bool] : ? [v7: fun_nat_int] : ? [v8: int] : ? [v9: nat] :
% 274.66/45.54 | ((v9 = v5 & nat_1(v8) = v5 & power_power_int(v2) = v7 &
% 274.66/45.54 | hAPP_nat_int(v7, v1) = v8 & fun_nat_int(v7) & nat(v5) &
% 274.66/45.54 | int(v8)) | (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~
% 274.66/45.54 | hBOOL(v6)))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_749_convex__bound__lt) implies:
% 274.66/45.54 | (132) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.54 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int]
% 274.66/45.54 | : ! [v7: int] : ! [v8: int] : ! [v9: fun_int_bool] : ! [v10:
% 274.66/45.54 | bool] : ( ~ (times_times_int(v2, v4) = v6) | ~
% 274.66/45.54 | (times_times_int(v1, v3) = v7) | ~
% 274.66/45.54 | (hAPP_i1948725293t_bool(ord_less_int, v8) = v9) | ~
% 274.66/45.54 | (plus_plus_int(v6, v7) = v8) | ~ (hAPP_int_bool(v9, v5) = v10) |
% 274.66/45.54 | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ int(v1) |
% 274.66/45.54 | hBOOL(v10) | ? [v11: fun_int_bool] : ? [v12: bool] : ? [v13:
% 274.66/45.54 | fun_int_bool] : ? [v14: bool] : ? [v15: bool] : ? [v16:
% 274.66/45.54 | bool] : ? [v17: int] : (( ~ (v17 = one_one_int) &
% 274.66/45.54 | plus_plus_int(v2, v1) = v17 & int(v17)) |
% 274.66/45.54 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v11 &
% 274.66/45.54 | hAPP_int_bool(v11, v5) = v12 & fun_int_bool(v11) & bool(v12)
% 274.66/45.54 | & ~ hBOOL(v12)) | (hAPP_i1948725293t_bool(ord_less_int, v3)
% 274.66/45.54 | = v13 & hAPP_int_bool(v13, v5) = v14 & fun_int_bool(v13) &
% 274.66/45.54 | bool(v14) & ~ hBOOL(v14)) | (hAPP_int_bool(v0, v2) = v15 &
% 274.66/45.54 | bool(v15) & ~ hBOOL(v15)) | (hAPP_int_bool(v0, v1) = v16 &
% 274.66/45.54 | bool(v16) & ~ hBOOL(v16)))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_750_nat__less__iff) implies:
% 274.66/45.54 | (133) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.54 | int] : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 274.66/45.54 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v3) | ~
% 274.66/45.54 | (hAPP_nat_int(semiri1621563631at_int, v1) = v4) | ~
% 274.66/45.54 | (hAPP_int_bool(v3, v4) = v5) | ~ nat(v1) | ~ int(v2) | ? [v6:
% 274.66/45.54 | bool] : ? [v7: nat] : ? [v8: fun_nat_bool] : ? [v9: bool] :
% 274.66/45.54 | ((hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~ hBOOL(v6)) | (( ~
% 274.66/45.54 | hBOOL(v5) | (nat_1(v2) = v7 &
% 274.66/45.54 | hAPP_n1699378549t_bool(ord_less_nat, v7) = v8 &
% 274.66/45.54 | hAPP_nat_bool(v8, v1) = v9 & fun_nat_bool(v8) & nat(v7) &
% 274.66/45.54 | bool(v9) & hBOOL(v9))) & (hBOOL(v5) | (nat_1(v2) = v7 &
% 274.66/45.54 | hAPP_n1699378549t_bool(ord_less_nat, v7) = v8 &
% 274.66/45.54 | hAPP_nat_bool(v8, v1) = v9 & fun_nat_bool(v8) & nat(v7) &
% 274.66/45.54 | bool(v9) & ~ hBOOL(v9)))))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_751_le__special_I2_J) implies:
% 274.66/45.54 | (134) ? [v0: fun_real_bool] : ? [v1: int] : ? [v2: fun_int_bool] :
% 274.66/45.54 | (hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = v0 &
% 274.66/45.54 | bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 &
% 274.66/45.54 | fun_real_bool(v0) & fun_int_bool(v2) & int(v1) & ! [v3: int] : !
% 274.66/45.54 | [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~
% 274.66/45.54 | hBOOL(v4) | ? [v5: real] : ? [v6: bool] : (hAPP_real_bool(v0,
% 274.66/45.54 | v5) = v6 & number267125858f_real(v3) = v5 & real(v5) &
% 274.66/45.54 | bool(v6) & hBOOL(v6))) & ! [v3: int] : ! [v4: bool] : ( ~
% 274.66/45.54 | (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | hBOOL(v4) | ? [v5:
% 274.66/45.54 | real] : ? [v6: bool] : (hAPP_real_bool(v0, v5) = v6 &
% 274.66/45.54 | number267125858f_real(v3) = v5 & real(v5) & bool(v6) & ~
% 274.66/45.54 | hBOOL(v6))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_752_le__special_I2_J) implies:
% 274.66/45.54 | (135) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: fun_int_bool] :
% 274.66/45.54 | (bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2 &
% 274.66/45.54 | hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 &
% 274.66/45.54 | fun_int_bool(v2) & fun_int_bool(v0) & int(v1) & ! [v3: int] : !
% 274.66/45.54 | [v4: bool] : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | ~
% 274.66/45.54 | hBOOL(v4) | ? [v5: int] : ? [v6: bool] :
% 274.66/45.54 | (number_number_of_int(v3) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 274.66/45.54 | int(v5) & bool(v6) & hBOOL(v6))) & ! [v3: int] : ! [v4: bool]
% 274.66/45.54 | : ( ~ (hAPP_int_bool(v2, v3) = v4) | ~ int(v3) | hBOOL(v4) | ?
% 274.66/45.54 | [v5: int] : ? [v6: bool] : (number_number_of_int(v3) = v5 &
% 274.66/45.54 | hAPP_int_bool(v0, v5) = v6 & int(v5) & bool(v6) & ~
% 274.66/45.54 | hBOOL(v6))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_753_le__special_I4_J) implies:
% 274.66/45.54 | (136) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2:
% 274.66/45.54 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1)
% 274.66/45.54 | = v2) | ~ int(v1) | ? [v3: bool] : ? [v4: real] : ? [v5:
% 274.66/45.54 | fun_real_bool] : ? [v6: bool] :
% 274.66/45.54 | ((hAPP_r1134773055l_bool(ord_less_eq_real, v4) = v5 &
% 274.66/45.54 | hAPP_real_bool(v5, one_one_real) = v6 &
% 274.66/45.54 | number267125858f_real(v1) = v4 & fun_real_bool(v5) & real(v4)
% 274.66/45.54 | & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v2, v0) = v3 &
% 274.66/45.54 | bool(v3) & ~ hBOOL(v3)))) & ! [v1: int] : ! [v2:
% 274.66/45.54 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1)
% 274.66/45.54 | = v2) | ~ int(v1) | ? [v3: real] : ? [v4: fun_real_bool] :
% 274.66/45.54 | ? [v5: bool] : ? [v6: bool] :
% 274.66/45.54 | ((hAPP_r1134773055l_bool(ord_less_eq_real, v3) = v4 &
% 274.66/45.54 | hAPP_real_bool(v4, one_one_real) = v5 &
% 274.66/45.54 | number267125858f_real(v1) = v3 & fun_real_bool(v4) & real(v3)
% 274.66/45.54 | & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(v2, v0) = v6 &
% 274.66/45.54 | bool(v6) & hBOOL(v6)))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_754_le__special_I4_J) implies:
% 274.66/45.54 | (137) ? [v0: int] : (bit1(pls) = v0 & int(v0) & ! [v1: int] : ! [v2:
% 274.66/45.54 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1)
% 274.66/45.54 | = v2) | ~ int(v1) | ? [v3: bool] : ? [v4: int] : ? [v5:
% 274.66/45.54 | fun_int_bool] : ? [v6: bool] : ((number_number_of_int(v1) = v4
% 274.66/45.54 | & hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5 &
% 274.66/45.54 | hAPP_int_bool(v5, one_one_int) = v6 & fun_int_bool(v5) &
% 274.66/45.54 | int(v4) & bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v2, v0) = v3
% 274.66/45.54 | & bool(v3) & ~ hBOOL(v3)))) & ! [v1: int] : ! [v2:
% 274.66/45.54 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1)
% 274.66/45.54 | = v2) | ~ int(v1) | ? [v3: int] : ? [v4: fun_int_bool] : ?
% 274.66/45.54 | [v5: bool] : ? [v6: bool] : ((number_number_of_int(v1) = v3 &
% 274.66/45.54 | hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4 &
% 274.66/45.54 | hAPP_int_bool(v4, one_one_int) = v5 & fun_int_bool(v4) &
% 274.66/45.54 | int(v3) & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(v2, v0) =
% 274.66/45.54 | v6 & bool(v6) & hBOOL(v6)))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_765_mult__less__cancel__right__disj) implies:
% 274.66/45.54 | (138) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.54 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.54 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.54 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v2) = v6) | ~
% 274.66/45.54 | (times_times_int(v1, v2) = v4) | ~
% 274.66/45.54 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 274.66/45.54 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.54 | int(v1) | ~ hBOOL(v7) | ? [v8: bool] : ? [v9: fun_int_bool] :
% 274.66/45.54 | ? [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] : ?
% 274.66/45.54 | [v13: fun_int_bool] : ? [v14: bool] :
% 274.66/45.54 | ((hAPP_i1948725293t_bool(ord_less_int, v3) = v13 &
% 274.66/45.54 | hAPP_i1948725293t_bool(ord_less_int, v2) = v11 &
% 274.66/45.54 | hAPP_int_bool(v13, v1) = v14 & hAPP_int_bool(v11,
% 274.66/45.54 | zero_zero_int) = v12 & fun_int_bool(v13) &
% 274.66/45.54 | fun_int_bool(v11) & bool(v14) & bool(v12) & hBOOL(v14) &
% 274.66/45.54 | hBOOL(v12)) | (hAPP_i1948725293t_bool(ord_less_int, v1) = v9
% 274.66/45.54 | & hAPP_int_bool(v9, v3) = v10 & hAPP_int_bool(v0, v2) = v8 &
% 274.66/45.54 | fun_int_bool(v9) & bool(v10) & bool(v8) & hBOOL(v10) &
% 274.66/45.54 | hBOOL(v8)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 274.66/45.54 | ! [v4: int] : ! [v5: fun_int_bool] : ! [v6: int] : ! [v7: bool]
% 274.66/45.54 | : ( ~ (times_times_int(v3, v2) = v6) | ~ (times_times_int(v1, v2)
% 274.66/45.54 | = v4) | ~ (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 274.66/45.54 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.54 | int(v1) | hBOOL(v7) | ? [v8: bool] : ? [v9: fun_int_bool] : ?
% 274.66/45.54 | [v10: bool] : ? [v11: fun_int_bool] : ? [v12: bool] : ? [v13:
% 274.66/45.54 | fun_int_bool] : ? [v14: bool] :
% 274.66/45.54 | (((hAPP_i1948725293t_bool(ord_less_int, v3) = v13 &
% 274.66/45.54 | hAPP_int_bool(v13, v1) = v14 & fun_int_bool(v13) &
% 274.66/45.54 | bool(v14) & ~ hBOOL(v14)) |
% 274.66/45.54 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v11 &
% 274.66/45.54 | hAPP_int_bool(v11, zero_zero_int) = v12 & fun_int_bool(v11)
% 274.66/45.54 | & bool(v12) & ~ hBOOL(v12))) &
% 274.66/45.54 | ((hAPP_i1948725293t_bool(ord_less_int, v1) = v9 &
% 274.66/45.54 | hAPP_int_bool(v9, v3) = v10 & fun_int_bool(v9) & bool(v10)
% 274.66/45.54 | & ~ hBOOL(v10)) | (hAPP_int_bool(v0, v2) = v8 & bool(v8) &
% 274.66/45.54 | ~ hBOOL(v8))))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_774_rel__simps_I22_J) implies:
% 274.66/45.54 | (139) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, pls)
% 274.66/45.54 | = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~
% 274.66/45.54 | (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~ hBOOL(v2) | ?
% 274.66/45.54 | [v3: int] : ? [v4: bool] : (bit1(v1) = v3 & hAPP_int_bool(v0,
% 274.66/45.54 | v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1: int] :
% 274.66/45.54 | ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 274.66/45.54 | hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit1(v1) = v3 &
% 274.66/45.54 | hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~
% 274.66/45.54 | hBOOL(v4))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_777_rel__simps_I21_J) implies:
% 274.66/45.54 | (140) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int, pls)
% 274.66/45.54 | = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~
% 274.66/45.54 | (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~ hBOOL(v2) | ?
% 274.66/45.54 | [v3: int] : ? [v4: bool] : (bit0(v1) = v3 & hAPP_int_bool(v0,
% 274.66/45.54 | v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1: int] :
% 274.66/45.54 | ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 274.66/45.54 | hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 274.66/45.54 | hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~
% 274.66/45.54 | hBOOL(v4))))
% 274.66/45.54 |
% 274.66/45.54 | ALPHA: (fact_779_pos__zmult__pos) implies:
% 274.66/45.55 | (141) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.55 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.55 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.55 | int(v1) | ~ hBOOL(v3) | hBOOL(v4) | ? [v5: int] : ? [v6: bool]
% 274.66/45.55 | : (times_times_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) = v6 &
% 274.66/45.55 | int(v5) & bool(v6) & ~ hBOOL(v6))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_780_zmult__zless__mono2) implies:
% 274.66/45.55 | (142) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.55 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 274.66/45.55 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v1, v3) = v6) | ~
% 274.66/45.55 | (times_times_int(v1, v2) = v4) | ~
% 274.66/45.55 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 274.66/45.55 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.55 | int(v1) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9: bool] : ?
% 274.66/45.55 | [v10: bool] : ((hAPP_i1948725293t_bool(ord_less_int, v2) = v8 &
% 274.66/45.55 | hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 274.66/45.55 | hBOOL(v9)) | (hAPP_int_bool(v0, v1) = v10 & bool(v10) & ~
% 274.66/45.55 | hBOOL(v10)))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_781_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 274.66/45.55 | implies:
% 274.66/45.55 | (143) ? [v0: fun_int_bool] : ? [v1: bool] :
% 274.66/45.55 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.55 | hAPP_int_bool(v0, one_one_int) = v1 & fun_int_bool(v0) & bool(v1) &
% 274.66/45.55 | hBOOL(v1))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_782_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 274.66/45.55 | implies:
% 274.66/45.55 | (144) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.55 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.55 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.55 | int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int] : ? [v6:
% 274.66/45.55 | bool] : (plus_plus_int(v2, v1) = v5 & hAPP_int_bool(v0, v5) =
% 274.66/45.55 | v6 & int(v5) & bool(v6) & hBOOL(v6))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_785_transfer__int__nat__quantifiers_I2_J) implies:
% 274.66/45.55 | (145) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: fun_int_bool] :
% 274.66/45.55 | ! [v2: nat] : ! [v3: int] : ! [v4: bool] : ( ~
% 274.66/45.55 | (hAPP_nat_int(semiri1621563631at_int, v2) = v3) | ~
% 274.66/45.55 | (hAPP_int_bool(v1, v3) = v4) | ~ fun_int_bool(v1) | ~ nat(v2) |
% 274.66/45.55 | ~ hBOOL(v4) | ? [v5: int] : ? [v6: bool] : ? [v7: bool] :
% 274.66/45.55 | (hAPP_int_bool(v1, v5) = v7 & hAPP_int_bool(v0, v5) = v6 &
% 274.66/45.55 | int(v5) & bool(v7) & bool(v6) & hBOOL(v7) & hBOOL(v6))) & ?
% 274.66/45.55 | [v1: fun_int_bool] : ! [v2: int] : ! [v3: bool] : ( ~
% 274.66/45.55 | (hAPP_int_bool(v0, v2) = v3) | ~ fun_int_bool(v1) | ~ int(v2) |
% 274.66/45.55 | ~ hBOOL(v3) | ? [v4: nat] : ? [v5: int] : ? [v6: bool] : ?
% 274.66/45.55 | [v7: bool] : (nat(v4) & ((hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.55 | v4) = v5 & hAPP_int_bool(v1, v5) = v6 & int(v5) &
% 274.66/45.55 | bool(v6) & hBOOL(v6)) | (hAPP_int_bool(v1, v2) = v7 &
% 274.66/45.55 | bool(v7) & ~ hBOOL(v7))))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_786_transfer__int__nat__quantifiers_I1_J) implies:
% 274.66/45.55 | (146) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: fun_int_bool] :
% 274.66/45.55 | ! [v2: nat] : ! [v3: int] : ! [v4: bool] : ( ~
% 274.66/45.55 | (hAPP_nat_int(semiri1621563631at_int, v2) = v3) | ~
% 274.66/45.55 | (hAPP_int_bool(v1, v3) = v4) | ~ fun_int_bool(v1) | ~ nat(v2) |
% 274.66/45.55 | hBOOL(v4) | ? [v5: int] : ? [v6: bool] : ? [v7: bool] :
% 274.66/45.55 | (hAPP_int_bool(v1, v5) = v7 & hAPP_int_bool(v0, v5) = v6 &
% 274.66/45.55 | int(v5) & bool(v7) & bool(v6) & hBOOL(v6) & ~ hBOOL(v7))) & ?
% 274.66/45.55 | [v1: fun_int_bool] : ! [v2: int] : ! [v3: bool] : ( ~
% 274.66/45.55 | (hAPP_int_bool(v0, v2) = v3) | ~ fun_int_bool(v1) | ~ int(v2) |
% 274.66/45.55 | ~ hBOOL(v3) | ? [v4: bool] : ? [v5: nat] : ? [v6: int] : ?
% 274.66/45.55 | [v7: bool] : (nat(v5) & ((hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.55 | v5) = v6 & hAPP_int_bool(v1, v6) = v7 & int(v6) &
% 274.66/45.55 | bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(v1, v2) = v4 &
% 274.66/45.55 | bool(v4) & hBOOL(v4))))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_787_zero__zle__int) implies:
% 274.66/45.55 | (147) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.55 | int] : ( ~ (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~
% 274.66/45.55 | nat(v1) | ? [v3: bool] : (hAPP_int_bool(v0, v2) = v3 & bool(v3)
% 274.66/45.55 | & hBOOL(v3))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_788_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J)
% 274.66/45.55 | implies:
% 274.66/45.55 | (148) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: nat] : ! [v2:
% 274.66/45.55 | int] : ! [v3: fun_nat_int] : ! [v4: int] : ( ~
% 274.66/45.55 | (power_power_int(v2) = v3) | ~ (hAPP_nat_int(v3, v1) = v4) | ~
% 274.66/45.55 | nat(v1) | ~ int(v2) | ? [v5: bool] : ? [v6: bool] :
% 274.66/45.55 | ((hAPP_int_bool(v0, v4) = v6 & bool(v6) & hBOOL(v6)) |
% 274.66/45.55 | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~ hBOOL(v5)))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_791_nat__mono__iff) implies:
% 274.66/45.55 | (149) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.55 | int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5: nat] : !
% 274.66/45.55 | [v6: bool] : ( ~ (nat_1(v2) = v5) | ~ (nat_1(v1) = v3) | ~
% 274.66/45.55 | (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 274.66/45.55 | (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7:
% 274.66/45.55 | bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 274.66/45.55 | ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) | (( ~
% 274.66/45.55 | hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8
% 274.66/45.55 | & hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) &
% 274.66/45.55 | bool(v9) & hBOOL(v9))) & (hBOOL(v6) |
% 274.66/45.55 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 274.66/45.55 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9)
% 274.66/45.55 | & ~ hBOOL(v9)))))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_792_zless__nat__conj) implies:
% 274.66/45.55 | (150) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.55 | int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5: nat] : !
% 274.66/45.55 | [v6: bool] : ( ~ (nat_1(v2) = v5) | ~ (nat_1(v1) = v3) | ~
% 274.66/45.55 | (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 274.66/45.55 | (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~
% 274.66/45.55 | hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool]
% 274.66/45.55 | : (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 274.66/45.55 | hAPP_int_bool(v8, v2) = v9 & hAPP_int_bool(v0, v2) = v7 &
% 274.66/45.55 | fun_int_bool(v8) & bool(v9) & bool(v7) & hBOOL(v9) &
% 274.66/45.55 | hBOOL(v7))) & ! [v1: int] : ! [v2: int] : ! [v3: nat] : !
% 274.66/45.55 | [v4: fun_nat_bool] : ! [v5: nat] : ! [v6: bool] : ( ~ (nat_1(v2)
% 274.66/45.55 | = v5) | ~ (nat_1(v1) = v3) | ~
% 274.66/45.55 | (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4) | ~
% 274.66/45.55 | (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) |
% 274.66/45.55 | hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool]
% 274.66/45.55 | : ((hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 274.66/45.55 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 274.66/45.55 | hBOOL(v9)) | (hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~
% 274.66/45.55 | hBOOL(v7)))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_798_rel__simps_I5_J) implies:
% 274.66/45.55 | (151) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.55 | (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v1 &
% 274.66/45.55 | hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & fun_int_bool(v1) &
% 274.66/45.55 | fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~
% 274.66/45.55 | (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 274.66/45.55 | [v4: int] : ? [v5: bool] : (bit1(v2) = v4 & hAPP_int_bool(v0,
% 274.66/45.55 | v4) = v5 & int(v4) & bool(v5) & hBOOL(v5))) & ! [v2: int] :
% 274.66/45.55 | ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) |
% 274.66/45.55 | hBOOL(v3) | ? [v4: int] : ? [v5: bool] : (bit1(v2) = v4 &
% 274.66/45.55 | hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & ~
% 274.66/45.55 | hBOOL(v5))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_805_pos__zmult__eq__1__iff) implies:
% 274.66/45.55 | (152) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.55 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.55 | int] : (v2 = one_one_int | ~ (times_times_int(v2, v1) =
% 274.66/45.55 | one_one_int) | ~ int(v2) | ~ int(v1) | ? [v3: bool] :
% 274.66/45.55 | (hAPP_int_bool(v0, v2) = v3 & bool(v3) & ~ hBOOL(v3))) & ! [v1:
% 274.66/45.55 | int] : ! [v2: int] : (v1 = one_one_int | ~ (times_times_int(v2,
% 274.66/45.55 | v1) = one_one_int) | ~ int(v2) | ~ int(v1) | ? [v3: bool]
% 274.66/45.55 | : (hAPP_int_bool(v0, v2) = v3 & bool(v3) & ~ hBOOL(v3))) & !
% 274.66/45.55 | [v1: int] : (v1 = one_one_int | ~ (times_times_int(one_one_int,
% 274.66/45.55 | one_one_int) = v1) | ? [v2: bool] : (hAPP_int_bool(v0,
% 274.66/45.55 | one_one_int) = v2 & bool(v2) & ~ hBOOL(v2))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_806_int__one__le__iff__zero__less) implies:
% 274.66/45.55 | (153) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.55 | (hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v0 &
% 274.66/45.55 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.55 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool]
% 274.66/45.55 | : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 274.66/45.55 | [v4: bool] : (hAPP_int_bool(v1, v2) = v4 & bool(v4) & hBOOL(v4)))
% 274.66/45.55 | & ! [v2: int] : ! [v3: bool] : ( ~ (hAPP_int_bool(v0, v2) = v3) |
% 274.66/45.55 | ~ int(v2) | hBOOL(v3) | ? [v4: bool] : (hAPP_int_bool(v1, v2) =
% 274.66/45.55 | v4 & bool(v4) & ~ hBOOL(v4))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_808_succ__Pls) implies:
% 274.66/45.55 | (154) ? [v0: int] : (succ(pls) = v0 & bit1(pls) = v0 & int(v0))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_815_zero__less__nat__eq) implies:
% 274.66/45.55 | (155) ? [v0: fun_nat_bool] : ? [v1: fun_int_bool] :
% 274.66/45.55 | (hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = v0 &
% 274.66/45.55 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.55 | fun_nat_bool(v0) & fun_int_bool(v1) & ! [v2: int] : ! [v3: bool]
% 274.66/45.55 | : ( ~ (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 274.66/45.55 | [v4: nat] : ? [v5: bool] : (nat_1(v2) = v4 & hAPP_nat_bool(v0,
% 274.66/45.55 | v4) = v5 & nat(v4) & bool(v5) & hBOOL(v5))) & ! [v2: int] :
% 274.66/45.55 | ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) |
% 274.66/45.55 | hBOOL(v3) | ? [v4: nat] : ? [v5: bool] : (nat_1(v2) = v4 &
% 274.66/45.55 | hAPP_nat_bool(v0, v4) = v5 & nat(v4) & bool(v5) & ~
% 274.66/45.55 | hBOOL(v5))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_816_transfer__nat__int__numerals_I4_J) implies:
% 274.66/45.55 | (156) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 274.66/45.55 | (nat_1(v3) = v2 & number_number_of_int(v1) = v3 & bit1(v0) = v1 &
% 274.66/45.55 | bit1(pls) = v0 & number_number_of_nat(v1) = v2 & nat(v2) & int(v3)
% 274.66/45.55 | & int(v1) & int(v0))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_818_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 274.66/45.55 | implies:
% 274.66/45.55 | (157) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 274.66/45.55 | ? [v4: bool] : (number_number_of_int(v2) = v3 & bit1(v1) = v2 &
% 274.66/45.55 | bit1(pls) = v1 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.55 | zero_zero_int) = v0 & hAPP_int_bool(v0, v3) = v4 &
% 274.66/45.55 | fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & bool(v4) &
% 274.66/45.55 | hBOOL(v4))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_819_le__imp__0__less) implies:
% 274.66/45.55 | (158) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.55 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.55 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.55 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool]
% 274.66/45.55 | : ( ~ (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 274.66/45.55 | [v4: int] : ? [v5: bool] : (plus_plus_int(one_one_int, v2) = v4
% 274.66/45.55 | & hAPP_int_bool(v1, v4) = v5 & int(v4) & bool(v5) &
% 274.66/45.55 | hBOOL(v5))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_822_transfer__nat__int__numerals_I3_J) implies:
% 274.66/45.55 | (159) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 274.66/45.55 | (nat_1(v3) = v2 & number_number_of_int(v1) = v3 & bit1(pls) = v0 &
% 274.66/45.55 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v3) &
% 274.66/45.55 | int(v1) & int(v0))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_823_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 274.66/45.55 | implies:
% 274.66/45.55 | (160) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 274.66/45.55 | ? [v4: bool] : (number_number_of_int(v2) = v3 & bit1(pls) = v1 &
% 274.66/45.55 | bit0(v1) = v2 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.55 | zero_zero_int) = v0 & hAPP_int_bool(v0, v3) = v4 &
% 274.66/45.55 | fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & bool(v4) &
% 274.66/45.55 | hBOOL(v4))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_824_cube__square) implies:
% 274.66/45.55 | (161) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 274.66/45.55 | nat] : (bit1(v0) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 274.66/45.55 | number_number_of_nat(v3) = v4 & number_number_of_nat(v1) = v2 &
% 274.66/45.55 | nat(v4) & nat(v2) & int(v3) & int(v1) & int(v0) & ! [v5: int] : !
% 274.66/45.55 | [v6: fun_nat_int] : ! [v7: int] : ! [v8: int] : ( ~
% 274.66/45.55 | (times_times_int(v5, v7) = v8) | ~ (power_power_int(v5) = v6) |
% 274.66/45.55 | ~ (hAPP_nat_int(v6, v2) = v7) | ~ int(v5) | (hAPP_nat_int(v6,
% 274.66/45.55 | v4) = v8 & int(v8))))
% 274.66/45.55 |
% 274.66/45.55 | ALPHA: (fact_825_power2__ge__self) implies:
% 274.66/45.56 | (162) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.56 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.56 | int(v0) & ! [v3: int] : ! [v4: fun_int_bool] : ! [v5:
% 274.66/45.56 | fun_nat_int] : ! [v6: int] : ! [v7: bool] : ( ~
% 274.66/45.56 | (power_power_int(v3) = v5) | ~
% 274.66/45.56 | (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 274.66/45.56 | (hAPP_nat_int(v5, v2) = v6) | ~ (hAPP_int_bool(v4, v6) = v7) |
% 274.66/45.56 | ~ int(v3) | hBOOL(v7)))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_826_int__pos__lt__two__imp__zero__or__one) implies:
% 274.66/45.56 | (163) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 274.66/45.56 | (number_number_of_int(v2) = v3 & bit1(pls) = v1 & bit0(v1) = v2 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.56 | fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & ! [v4: int] : !
% 274.66/45.56 | [v5: bool] : (v4 = zero_zero_int | v4 = one_one_int | ~
% 274.66/45.56 | (hAPP_int_bool(v0, v4) = v5) | ~ int(v4) | ~ hBOOL(v5) | ?
% 274.66/45.56 | [v6: fun_int_bool] : ? [v7: bool] :
% 274.66/45.56 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v6 &
% 274.66/45.56 | hAPP_int_bool(v6, v3) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 274.66/45.56 | hBOOL(v7))))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_827_Euler_Oaux__1) implies:
% 274.66/45.56 | (164) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.56 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.56 | int] : ! [v3: fun_nat_int] : ! [v4: nat] : ! [v5: nat] : !
% 274.66/45.56 | [v6: int] : ! [v7: int] : ( ~ (nat_1(v2) = v4) | ~
% 274.66/45.56 | (minus_minus_nat(v4, one_one_nat) = v5) | ~ (times_times_int(v1,
% 274.66/45.56 | v6) = v7) | ~ (power_power_int(v1) = v3) | ~
% 274.66/45.56 | (hAPP_nat_int(v3, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v8:
% 274.66/45.56 | bool] : ? [v9: int] : ((v9 = v7 & hAPP_nat_int(v3, v4) = v7 &
% 274.66/45.56 | int(v7)) | (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~
% 274.66/45.56 | hBOOL(v8)))))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_828_self__quotient__aux2) implies:
% 274.66/45.56 | (165) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.56 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.56 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.56 | ! [v4: int] : ! [v5: bool] : ! [v6: bool] : ! [v7:
% 274.66/45.56 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3)
% 274.66/45.56 | = v7) | ~ (hAPP_int_bool(v1, v2) = v6) | ~ (hAPP_int_bool(v0,
% 274.66/45.56 | v4) = v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.56 | hBOOL(v6) | ~ hBOOL(v5) | ? [v8: int] : ? [v9: int] : ? [v10:
% 274.66/45.56 | bool] : (( ~ (v9 = v4) & times_times_int(v4, v3) = v8 &
% 274.66/45.56 | plus_plus_int(v2, v8) = v9 & int(v9) & int(v8)) |
% 274.66/45.56 | (hAPP_int_bool(v7, one_one_int) = v10 & bool(v10) &
% 274.66/45.56 | hBOOL(v10)))))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_829_self__quotient__aux1) implies:
% 274.66/45.56 | (166) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.56 | (hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = v1 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.56 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.56 | ! [v4: int] : ! [v5: fun_int_bool] : ! [v6: bool] : ! [v7:
% 274.66/45.56 | bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v2) = v5) | ~
% 274.66/45.56 | (hAPP_int_bool(v5, v4) = v6) | ~ (hAPP_int_bool(v1, v3) = v7) |
% 274.66/45.56 | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ hBOOL(v6) | hBOOL(v7) |
% 274.66/45.56 | ? [v8: bool] : ? [v9: int] : ? [v10: int] : (( ~ (v10 = v4) &
% 274.66/45.56 | times_times_int(v4, v3) = v9 & plus_plus_int(v2, v9) = v10 &
% 274.66/45.56 | int(v10) & int(v9)) | (hAPP_int_bool(v0, v4) = v8 & bool(v8)
% 274.66/45.56 | & ~ hBOOL(v8)))))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_831_q__pos__lemma) implies:
% 274.66/45.56 | (167) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.56 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.56 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.56 | ! [v4: int] : ! [v5: fun_int_bool] : ! [v6: bool] : ! [v7:
% 274.66/45.56 | bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 274.66/45.56 | (hAPP_int_bool(v5, v2) = v6) | ~ (hAPP_int_bool(v0, v3) = v7) |
% 274.66/45.56 | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ hBOOL(v6) | hBOOL(v7) |
% 274.66/45.56 | ? [v8: int] : ? [v9: int] : ? [v10: bool] : ? [v11: bool] :
% 274.66/45.56 | ((times_times_int(v2, v3) = v8 & plus_plus_int(v8, v4) = v9 &
% 274.66/45.56 | hAPP_int_bool(v0, v9) = v10 & int(v9) & int(v8) & bool(v10) &
% 274.66/45.56 | ~ hBOOL(v10)) | (hAPP_int_bool(v1, v2) = v11 & bool(v11) &
% 274.66/45.56 | ~ hBOOL(v11)))))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_832_q__neg__lemma) implies:
% 274.66/45.56 | (168) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.56 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.56 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.56 | ! [v4: int] : ! [v5: bool] : ! [v6: bool] : ! [v7:
% 274.66/45.56 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3)
% 274.66/45.56 | = v7) | ~ (hAPP_int_bool(v1, v2) = v6) | ~ (hAPP_int_bool(v0,
% 274.66/45.56 | v4) = v5) | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~
% 274.66/45.56 | hBOOL(v6) | ~ hBOOL(v5) | ? [v8: int] : ? [v9: int] : ? [v10:
% 274.66/45.56 | fun_int_bool] : ? [v11: bool] : ? [v12: bool] :
% 274.66/45.56 | ((times_times_int(v2, v3) = v8 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, v9) = v10 &
% 274.66/45.56 | plus_plus_int(v8, v4) = v9 & hAPP_int_bool(v10,
% 274.66/45.56 | zero_zero_int) = v11 & fun_int_bool(v10) & int(v9) &
% 274.66/45.56 | int(v8) & bool(v11) & ~ hBOOL(v11)) | (hAPP_int_bool(v7,
% 274.66/45.56 | zero_zero_int) = v12 & bool(v12) & hBOOL(v12)))))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_833_nQ1) implies:
% 274.66/45.56 | (169) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 274.66/45.56 | int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] :
% 274.66/45.56 | ? [v9: bool] : (times_times_int(v5, v7) = v8 & times_times_int(v3, m)
% 274.66/45.56 | = v4 & number_number_of_int(v2) = v3 & bit1(pls) = v0 & bit0(v1) =
% 274.66/45.56 | v2 & bit0(v0) = v1 & hAPP_nat_int(semiri1621563631at_int,
% 274.66/45.56 | zero_zero_nat) = v6 & plus_plus_int(v4, one_one_int) = v5 &
% 274.66/45.56 | plus_plus_int(one_one_int, v6) = v7 &
% 274.66/45.56 | hAPP_int_bool(twoSqu820444569sum2sq, v8) = v9 & int(v8) & int(v7) &
% 274.66/45.56 | int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) & int(v0)
% 274.66/45.56 | & bool(v9) & ~ hBOOL(v9))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_835_p0) implies:
% 274.66/45.56 | (170) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 274.66/45.56 | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: bool] :
% 274.66/45.56 | (times_times_int(v4, m) = v5 & number_number_of_int(v3) = v4 &
% 274.66/45.56 | bit1(pls) = v1 & bit0(v2) = v3 & bit0(v1) = v2 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.56 | plus_plus_int(v5, one_one_int) = v6 & hAPP_int_bool(v0, v6) = v7 &
% 274.66/45.56 | fun_int_bool(v0) & int(v6) & int(v5) & int(v4) & int(v3) & int(v2)
% 274.66/45.56 | & int(v1) & bool(v7) & hBOOL(v7))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_836_t__l__p) implies:
% 274.66/45.56 | (171) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 274.66/45.56 | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: bool] :
% 274.66/45.56 | (times_times_int(v4, m) = v5 & number_number_of_int(v3) = v4 &
% 274.66/45.56 | bit1(pls) = v1 & bit0(v2) = v3 & bit0(v1) = v2 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, t) = v0 & plus_plus_int(v5,
% 274.66/45.56 | one_one_int) = v6 & hAPP_int_bool(v0, v6) = v7 & fun_int_bool(v0)
% 274.66/45.56 | & int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) &
% 274.66/45.56 | bool(v7) & hBOOL(v7))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_837_qf1pt) implies:
% 274.66/45.56 | (172) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 274.66/45.56 | int] : ? [v5: int] : ? [v6: int] : ? [v7: bool] :
% 274.66/45.56 | (times_times_int(v5, t) = v6 & times_times_int(v3, m) = v4 &
% 274.66/45.56 | number_number_of_int(v2) = v3 & bit1(pls) = v0 & bit0(v1) = v2 &
% 274.66/45.56 | bit0(v0) = v1 & plus_plus_int(v4, one_one_int) = v5 &
% 274.66/45.56 | hAPP_int_bool(twoSqu820444569sum2sq, v6) = v7 & int(v6) & int(v5) &
% 274.66/45.56 | int(v4) & int(v3) & int(v2) & int(v1) & int(v0) & bool(v7) &
% 274.66/45.56 | hBOOL(v7))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_838_IH) implies:
% 274.66/45.56 | (173) ? [v0: int] : ? [v1: int] : ? [v2: fun_int_bool] : ? [v3: int] :
% 274.66/45.56 | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8:
% 274.66/45.56 | int] : ? [v9: bool] : ? [v10: int] : ? [v11: bool] :
% 274.66/45.56 | (times_times_int(v8, v1) = v10 & times_times_int(v6, m) = v7 &
% 274.66/45.56 | number_number_of_int(v5) = v6 & bit1(pls) = v3 & bit0(v4) = v5 &
% 274.66/45.56 | bit0(v3) = v4 & hAPP_i1948725293t_bool(ord_less_int, v1) = v2 &
% 274.66/45.56 | hAPP_nat_int(semiri1621563631at_int, n) = v0 & plus_plus_int(v7,
% 274.66/45.56 | one_one_int) = v8 & plus_plus_int(one_one_int, v0) = v1 &
% 274.66/45.56 | hAPP_int_bool(v2, v8) = v9 & hAPP_int_bool(twoSqu820444569sum2sq,
% 274.66/45.56 | v10) = v11 & fun_int_bool(v2) & int(v10) & int(v8) & int(v7) &
% 274.66/45.56 | int(v6) & int(v5) & int(v4) & int(v3) & int(v1) & int(v0) &
% 274.66/45.56 | bool(v11) & bool(v9) & hBOOL(v11) & hBOOL(v9))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_839__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_061_A_I4_A)
% 274.66/45.56 | implies:
% 274.66/45.56 | (174) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 274.66/45.56 | int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] :
% 274.66/45.56 | ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12: fun_nat_int] :
% 274.66/45.56 | ? [v13: int] : ? [v14: fun_nat_int] : ? [v15: int] :
% 274.66/45.56 | (times_times_int(v6, v8) = v9 & times_times_int(v4, m) = v5 &
% 274.66/45.56 | number_number_of_int(v3) = v4 & bit1(pls) = v0 & bit0(v1) = v3 &
% 274.66/45.56 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 &
% 274.66/45.56 | power_power_int(v11) = v14 & power_power_int(v10) = v12 &
% 274.66/45.56 | hAPP_nat_int(v14, v2) = v15 & hAPP_nat_int(v12, v2) = v13 &
% 274.66/45.56 | hAPP_nat_int(semiri1621563631at_int, n) = v7 & plus_plus_int(v13,
% 274.66/45.56 | v15) = v9 & plus_plus_int(v5, one_one_int) = v6 &
% 274.66/45.56 | plus_plus_int(one_one_int, v7) = v8 & fun_nat_int(v14) &
% 274.66/45.56 | fun_nat_int(v12) & nat(v2) & int(v15) & int(v13) & int(v11) &
% 274.66/45.56 | int(v10) & int(v9) & int(v8) & int(v7) & int(v6) & int(v5) &
% 274.66/45.56 | int(v4) & int(v3) & int(v1) & int(v0))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_840_t) implies:
% 274.66/45.56 | (175) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.56 | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8:
% 274.66/45.56 | int] : ? [v9: int] : (times_times_int(v9, t) = v5 &
% 274.66/45.56 | times_times_int(v7, m) = v8 & number_number_of_int(v6) = v7 &
% 274.66/45.56 | bit1(pls) = v1 & bit0(v2) = v6 & bit0(v1) = v2 &
% 274.66/45.56 | number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 274.66/45.56 | hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v8, one_one_int) = v9 &
% 274.66/45.56 | plus_plus_int(v4, one_one_int) = v5 & fun_nat_int(v0) & nat(v3) &
% 274.66/45.56 | int(v9) & int(v8) & int(v7) & int(v6) & int(v5) & int(v4) & int(v2)
% 274.66/45.56 | & int(v1))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_841_p) implies:
% 274.66/45.56 | (176) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 274.66/45.56 | int] : ? [v5: int] : ? [v6: bool] : (times_times_int(v3, m) = v4
% 274.66/45.56 | & number_number_of_int(v2) = v3 & bit1(pls) = v0 & bit0(v1) = v2 &
% 274.66/45.56 | bit0(v0) = v1 & plus_plus_int(v4, one_one_int) = v5 &
% 274.66/45.56 | hAPP_int_bool(zprime, v5) = v6 & int(v5) & int(v4) & int(v3) &
% 274.66/45.56 | int(v2) & int(v1) & int(v0) & bool(v6) & hBOOL(v6))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_842__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_)
% 274.66/45.56 | implies:
% 274.66/45.56 | (177) int(t)
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_915_Euler_Oaux1) implies:
% 274.66/45.56 | (178) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 274.66/45.56 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.56 | int] : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : (v4
% 274.66/45.56 | = v2 | ~ (minus_minus_int(v1, one_one_int) = v4) | ~
% 274.66/45.56 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v3) | ~
% 274.66/45.56 | (hAPP_int_bool(v3, v4) = v5) | ~ int(v2) | ~ int(v1) |
% 274.66/45.56 | hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ((hAPP_int_bool(v3,
% 274.66/45.56 | v1) = v7 & bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(v0,
% 274.66/45.56 | v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_916_less__bin__lemma) implies:
% 274.66/45.56 | (179) ! [v0: int] : ! [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool] :
% 274.66/45.56 | ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) | ~
% 274.66/45.56 | (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | hBOOL(v3)
% 274.66/45.56 | | ? [v4: int] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 274.66/45.56 | (minus_minus_int(v0, v1) = v4 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, v4) = v5 & hAPP_int_bool(v5,
% 274.66/45.56 | zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) &
% 274.66/45.56 | ~ hBOOL(v6)))
% 274.66/45.56 | (180) ! [v0: int] : ! [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool] :
% 274.66/45.56 | ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v2) | ~
% 274.66/45.56 | (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | ~
% 274.66/45.56 | hBOOL(v3) | ? [v4: int] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 274.66/45.56 | (minus_minus_int(v0, v1) = v4 &
% 274.66/45.56 | hAPP_i1948725293t_bool(ord_less_int, v4) = v5 & hAPP_int_bool(v5,
% 274.66/45.56 | zero_zero_int) = v6 & fun_int_bool(v5) & int(v4) & bool(v6) &
% 274.66/45.56 | hBOOL(v6)))
% 274.66/45.56 |
% 274.66/45.56 | ALPHA: (fact_951_transfer__nat__int__relations_I3_J) implies:
% 274.66/45.57 | (181) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.57 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.57 | int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5: nat] : !
% 274.66/45.57 | [v6: bool] : ( ~ (nat_1(v2) = v3) | ~ (nat_1(v1) = v5) | ~
% 274.66/45.57 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v3) = v4) | ~
% 274.66/45.57 | (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7:
% 274.66/45.57 | bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool]
% 274.66/45.57 | : ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 274.66/45.57 | (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~ hBOOL(v8)) | (( ~
% 274.66/45.57 | hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 274.66/45.57 | v9 & hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) &
% 274.66/45.57 | bool(v10) & hBOOL(v10))) & (hBOOL(v6) |
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v9 &
% 274.66/45.57 | hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) &
% 274.66/45.57 | bool(v10) & ~ hBOOL(v10)))))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_952_nat__diff__distrib) implies:
% 274.66/45.57 | (182) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.57 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.57 | int] : ! [v3: nat] : ! [v4: nat] : ! [v5: nat] : ( ~
% 274.66/45.57 | (nat_1(v2) = v4) | ~ (nat_1(v1) = v3) | ~ (minus_minus_nat(v3,
% 274.66/45.57 | v4) = v5) | ~ int(v2) | ~ int(v1) | ? [v6: bool] : ? [v7:
% 274.66/45.57 | fun_int_bool] : ? [v8: bool] : ? [v9: int] : ? [v10: nat] :
% 274.66/45.57 | ((v10 = v5 & minus_minus_int(v1, v2) = v9 & nat_1(v9) = v5 &
% 274.66/45.57 | nat(v5) & int(v9)) | (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.57 | v2) = v7 & hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) &
% 274.66/45.57 | bool(v8) & ~ hBOOL(v8)) | (hAPP_int_bool(v0, v2) = v6 &
% 274.66/45.57 | bool(v6) & ~ hBOOL(v6)))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_953_nat__mult__distrib) implies:
% 274.66/45.57 | (183) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.57 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.57 | int] : ! [v3: nat] : ! [v4: nat] : ! [v5: nat] : ( ~
% 274.66/45.57 | (times_times_nat(v3, v4) = v5) | ~ (nat_1(v2) = v3) | ~
% 274.66/45.57 | (nat_1(v1) = v4) | ~ int(v2) | ~ int(v1) | ? [v6: bool] : ?
% 274.66/45.57 | [v7: int] : ? [v8: nat] : ((v8 = v5 & nat_1(v7) = v5 &
% 274.66/45.57 | times_times_int(v2, v1) = v7 & nat(v5) & int(v7)) |
% 274.66/45.57 | (hAPP_int_bool(v0, v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_954_Nat__Transfer_Otransfer__nat__int__functions_I2_J) implies:
% 274.66/45.57 | (184) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.57 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.57 | int] : ! [v3: bool] : ! [v4: bool] : ( ~ (hAPP_int_bool(v0, v2)
% 274.66/45.57 | = v3) | ~ (hAPP_int_bool(v0, v1) = v4) | ~ int(v2) | ~
% 274.66/45.57 | int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: nat] : ? [v6:
% 274.66/45.57 | nat] : ? [v7: nat] : ? [v8: int] : (times_times_nat(v5, v6) =
% 274.66/45.57 | v7 & nat_1(v8) = v7 & nat_1(v2) = v5 & nat_1(v1) = v6 &
% 274.66/45.57 | times_times_int(v2, v1) = v8 & nat(v7) & nat(v6) & nat(v5) &
% 274.66/45.57 | int(v8))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_956_nat__le__eq__zle) implies:
% 274.66/45.57 | (185) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 274.66/45.57 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 274.66/45.57 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.57 | ! [v4: nat] : ! [v5: fun_nat_bool] : ! [v6: nat] : ! [v7: bool]
% 274.66/45.57 | : ( ~ (nat_1(v3) = v4) | ~ (nat_1(v2) = v6) | ~
% 274.66/45.57 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v4) = v5) | ~
% 274.66/45.57 | (hAPP_nat_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ? [v8:
% 274.66/45.57 | bool] : ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool]
% 274.66/45.57 | : ((hAPP_int_bool(v1, v2) = v9 & hAPP_int_bool(v0, v3) = v8 &
% 274.66/45.57 | bool(v9) & bool(v8) & ~ hBOOL(v9) & ~ hBOOL(v8)) | (( ~
% 274.66/45.57 | hBOOL(v7) | (hAPP_i1948725293t_bool(ord_less_eq_int, v3) =
% 274.66/45.57 | v10 & hAPP_int_bool(v10, v2) = v11 & fun_int_bool(v10) &
% 274.66/45.57 | bool(v11) & hBOOL(v11))) & (hBOOL(v7) |
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v10 &
% 274.66/45.57 | hAPP_int_bool(v10, v2) = v11 & fun_int_bool(v10) &
% 274.66/45.57 | bool(v11) & ~ hBOOL(v11)))))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_958_nat__mult__2) implies:
% 274.66/45.57 | (186) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.57 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.57 | int(v0) & ! [v3: nat] : ! [v4: nat] : ( ~ (times_times_nat(v2,
% 274.66/45.57 | v3) = v4) | ~ nat(v3) | (plus_plus_nat(v3, v3) = v4 &
% 274.66/45.57 | nat(v4))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_959_nat__mult__2__right) implies:
% 274.66/45.57 | (187) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.57 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.57 | int(v0) & ! [v3: nat] : ! [v4: nat] : ( ~ (times_times_nat(v3,
% 274.66/45.57 | v2) = v4) | ~ nat(v3) | (plus_plus_nat(v3, v3) = v4 &
% 274.66/45.57 | nat(v4))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_962_four__x__squared) implies:
% 274.66/45.57 | (188) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: real] : ? [v4:
% 274.66/45.57 | nat] : ? [v5: real] : (number267125858f_real(v2) = v3 &
% 274.66/45.57 | number267125858f_real(v1) = v5 & bit1(pls) = v0 & bit0(v1) = v2 &
% 274.66/45.57 | bit0(v0) = v1 & number_number_of_nat(v1) = v4 & real(v5) & real(v3)
% 274.66/45.57 | & nat(v4) & int(v2) & int(v1) & int(v0) & ! [v6: real] : ! [v7:
% 274.66/45.57 | real] : ( ~ (times_times_real(v5, v6) = v7) | ~ real(v6) | ?
% 274.66/45.57 | [v8: fun_nat_real] : ? [v9: real] : ? [v10: real] : ? [v11:
% 274.66/45.57 | fun_nat_real] : (times_times_real(v3, v9) = v10 &
% 274.66/45.57 | power_power_real(v7) = v11 & power_power_real(v6) = v8 &
% 274.66/45.57 | hAPP_nat_real(v11, v4) = v10 & hAPP_nat_real(v8, v4) = v9 &
% 274.66/45.57 | fun_nat_real(v11) & fun_nat_real(v8) & real(v10) & real(v9))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_963_two__realpow__ge__one) implies:
% 274.66/45.57 | (189) ? [v0: fun_real_bool] : ? [v1: int] : ? [v2: int] : ? [v3: real]
% 274.66/45.57 | : ? [v4: fun_nat_real] : (hAPP_r1134773055l_bool(ord_less_eq_real,
% 274.66/45.57 | one_one_real) = v0 & number267125858f_real(v2) = v3 &
% 274.66/45.57 | power_power_real(v3) = v4 & bit1(pls) = v1 & bit0(v1) = v2 &
% 274.66/45.57 | fun_real_bool(v0) & fun_nat_real(v4) & real(v3) & int(v2) & int(v1)
% 274.66/45.57 | & ! [v5: nat] : ! [v6: real] : ( ~ (hAPP_nat_real(v4, v5) = v6) |
% 274.66/45.57 | ~ nat(v5) | ? [v7: bool] : (hAPP_real_bool(v0, v6) = v7 &
% 274.66/45.57 | bool(v7) & hBOOL(v7))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_965_zspecial__product) implies:
% 274.66/45.57 | (190) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.57 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.57 | int(v0) & ! [v3: int] : ! [v4: int] : ! [v5: fun_nat_int] : !
% 274.66/45.57 | [v6: int] : ! [v7: fun_nat_int] : ! [v8: int] : ! [v9: int] : (
% 274.66/45.57 | ~ (minus_minus_int(v6, v8) = v9) | ~ (power_power_int(v4) = v7)
% 274.66/45.57 | | ~ (power_power_int(v3) = v5) | ~ (hAPP_nat_int(v7, v2) = v8)
% 274.66/45.57 | | ~ (hAPP_nat_int(v5, v2) = v6) | ~ int(v4) | ~ int(v3) | ?
% 274.66/45.57 | [v10: int] : ? [v11: int] : (minus_minus_int(v3, v4) = v11 &
% 274.66/45.57 | times_times_int(v10, v11) = v9 & plus_plus_int(v3, v4) = v10 &
% 274.66/45.57 | int(v11) & int(v10) & int(v9))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_966_diff__square) implies:
% 274.66/45.57 | (191) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 274.66/45.57 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 274.66/45.57 | int(v0) & ! [v3: nat] : ! [v4: nat] : ! [v5: fun_nat_nat] : !
% 274.66/45.57 | [v6: nat] : ! [v7: fun_nat_nat] : ! [v8: nat] : ! [v9: nat] : (
% 274.66/45.57 | ~ (minus_minus_nat(v6, v8) = v9) | ~ (power_power_nat(v4) = v7)
% 274.66/45.57 | | ~ (power_power_nat(v3) = v5) | ~ (hAPP_nat_nat(v7, v2) = v8)
% 274.66/45.57 | | ~ (hAPP_nat_nat(v5, v2) = v6) | ~ nat(v4) | ~ nat(v3) | ?
% 274.66/45.57 | [v10: nat] : ? [v11: nat] : (times_times_nat(v10, v11) = v9 &
% 274.66/45.57 | minus_minus_nat(v3, v4) = v11 & plus_plus_nat(v3, v4) = v10 &
% 274.66/45.57 | nat(v11) & nat(v10) & nat(v9))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_967_zdiff__power3) implies:
% 274.66/45.57 | (192) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 274.66/45.57 | int] : ? [v5: nat] : (number_number_of_int(v1) = v3 & bit1(v0) =
% 274.66/45.57 | v1 & bit1(pls) = v0 & bit0(v0) = v4 & number_number_of_nat(v4) = v5
% 274.66/45.57 | & number_number_of_nat(v1) = v2 & nat(v5) & nat(v2) & int(v4) &
% 274.66/45.57 | int(v3) & int(v1) & int(v0) & ! [v6: int] : ! [v7: int] : ! [v8:
% 274.66/45.57 | fun_nat_int] : ! [v9: int] : ! [v10: int] : ! [v11: int] : !
% 274.66/45.57 | [v12: int] : ! [v13: int] : ! [v14: int] : ! [v15: fun_nat_int]
% 274.66/45.57 | : ! [v16: int] : ! [v17: int] : ! [v18: int] : ! [v19: int] :
% 274.66/45.57 | ! [v20: int] : ( ~ (minus_minus_int(v18, v19) = v20) | ~
% 274.66/45.57 | (minus_minus_int(v9, v12) = v13) | ~ (times_times_int(v14, v16)
% 274.66/45.57 | = v17) | ~ (times_times_int(v11, v7) = v12) | ~
% 274.66/45.57 | (times_times_int(v3, v10) = v11) | ~ (times_times_int(v3, v6) =
% 274.66/45.57 | v14) | ~ (power_power_int(v7) = v15) | ~ (power_power_int(v6)
% 274.66/45.57 | = v8) | ~ (hAPP_nat_int(v15, v5) = v16) | ~
% 274.66/45.57 | (hAPP_nat_int(v15, v2) = v19) | ~ (hAPP_nat_int(v8, v5) = v10) |
% 274.66/45.57 | ~ (hAPP_nat_int(v8, v2) = v9) | ~ (plus_plus_int(v13, v17) =
% 274.66/45.57 | v18) | ~ int(v7) | ~ int(v6) | ? [v21: int] : ? [v22:
% 274.66/45.57 | fun_nat_int] : (minus_minus_int(v6, v7) = v21 &
% 274.66/45.57 | power_power_int(v21) = v22 & hAPP_nat_int(v22, v2) = v20 &
% 274.66/45.57 | fun_nat_int(v22) & int(v21) & int(v20))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_968_zdiff__power2) implies:
% 274.66/45.57 | (193) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] :
% 274.66/45.57 | (number_number_of_int(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 274.66/45.57 | number_number_of_nat(v1) = v2 & nat(v2) & int(v3) & int(v1) &
% 274.66/45.57 | int(v0) & ! [v4: int] : ! [v5: int] : ! [v6: fun_nat_int] : !
% 274.66/45.57 | [v7: int] : ! [v8: int] : ! [v9: int] : ! [v10: int] : ! [v11:
% 274.66/45.57 | fun_nat_int] : ! [v12: int] : ! [v13: int] : ( ~
% 274.66/45.57 | (minus_minus_int(v7, v9) = v10) | ~ (times_times_int(v8, v5) =
% 274.66/45.57 | v9) | ~ (times_times_int(v3, v4) = v8) | ~
% 274.66/45.57 | (power_power_int(v5) = v11) | ~ (power_power_int(v4) = v6) | ~
% 274.66/45.57 | (hAPP_nat_int(v11, v2) = v12) | ~ (hAPP_nat_int(v6, v2) = v7) |
% 274.66/45.57 | ~ (plus_plus_int(v10, v12) = v13) | ~ int(v5) | ~ int(v4) | ?
% 274.66/45.57 | [v14: int] : ? [v15: fun_nat_int] : (minus_minus_int(v4, v5) =
% 274.66/45.57 | v14 & power_power_int(v14) = v15 & hAPP_nat_int(v15, v2) = v13
% 274.66/45.57 | & fun_nat_int(v15) & int(v14) & int(v13))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_969_zdiv__mono2__neg__lemma) implies:
% 274.66/45.57 | (194) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.57 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.57 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.57 | ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8:
% 274.66/45.57 | fun_int_bool] : ! [v9: bool] : ! [v10: bool] : ! [v11: bool] :
% 274.66/45.57 | ! [v12: fun_int_bool] : ! [v13: bool] : ( ~
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v12) | ~
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v8) | ~
% 274.66/45.57 | (hAPP_int_bool(v12, v3) = v13) | ~ (hAPP_int_bool(v8, v2) = v9)
% 274.66/45.57 | | ~ (hAPP_int_bool(v1, v5) = v11) | ~ (hAPP_int_bool(v0, v7) =
% 274.66/45.57 | v10) | ~ int(v7) | ~ int(v6) | ~ int(v5) | ~ int(v4) | ~
% 274.66/45.57 | int(v3) | ~ int(v2) | ~ hBOOL(v11) | ~ hBOOL(v10) | ~
% 274.66/45.57 | hBOOL(v9) | hBOOL(v13) | ? [v14: int] : ? [v15: int] : ? [v16:
% 274.66/45.57 | int] : ? [v17: int] : ? [v18: fun_int_bool] : ? [v19: bool]
% 274.66/45.57 | : ? [v20: fun_int_bool] : ? [v21: bool] : ((times_times_int(v5,
% 274.66/45.57 | v6) = v16 & plus_plus_int(v16, v7) = v17 & int(v17) &
% 274.66/45.57 | int(v16) & (( ~ (v17 = v15) & times_times_int(v2, v3) = v14 &
% 274.66/45.57 | plus_plus_int(v14, v4) = v15 & int(v15) & int(v14)) |
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_int, v17) = v18 &
% 274.66/45.57 | hAPP_int_bool(v18, zero_zero_int) = v19 &
% 274.66/45.57 | fun_int_bool(v18) & bool(v19) & ~ hBOOL(v19)))) |
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v20 &
% 274.66/45.57 | hAPP_int_bool(v20, v2) = v21 & fun_int_bool(v20) & bool(v21)
% 274.66/45.57 | & ~ hBOOL(v21)))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_971_zdiv__mono2__lemma) implies:
% 274.66/45.57 | (195) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 274.66/45.57 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 274.66/45.57 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v1 &
% 274.66/45.57 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: int] :
% 274.66/45.57 | ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8:
% 274.66/45.57 | fun_int_bool] : ! [v9: bool] : ! [v10: bool] : ! [v11:
% 274.66/45.57 | fun_int_bool] : ! [v12: bool] : ! [v13: fun_int_bool] : !
% 274.66/45.57 | [v14: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v5) =
% 274.66/45.57 | v11) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v13) |
% 274.66/45.57 | ~ (hAPP_i1948725293t_bool(ord_less_int, v7) = v8) | ~
% 274.66/45.57 | (hAPP_int_bool(v13, v6) = v14) | ~ (hAPP_int_bool(v11, v2) =
% 274.66/45.57 | v12) | ~ (hAPP_int_bool(v8, v5) = v9) | ~ (hAPP_int_bool(v0,
% 274.66/45.57 | v4) = v10) | ~ int(v7) | ~ int(v6) | ~ int(v5) | ~
% 274.66/45.57 | int(v4) | ~ int(v3) | ~ int(v2) | ~ hBOOL(v12) | ~ hBOOL(v10)
% 274.66/45.57 | | ~ hBOOL(v9) | hBOOL(v14) | ? [v15: int] : ? [v16: int] : ?
% 274.66/45.57 | [v17: int] : ? [v18: int] : ? [v19: bool] : ? [v20: bool] :
% 274.66/45.57 | ((times_times_int(v5, v6) = v17 & plus_plus_int(v17, v7) = v18 &
% 274.66/45.57 | int(v18) & int(v17) & (( ~ (v18 = v16) & times_times_int(v2,
% 274.66/45.57 | v3) = v15 & plus_plus_int(v15, v4) = v16 & int(v16) &
% 274.66/45.57 | int(v15)) | (hAPP_int_bool(v0, v18) = v19 & bool(v19) &
% 274.66/45.57 | ~ hBOOL(v19)))) | (hAPP_int_bool(v1, v5) = v20 &
% 274.66/45.57 | bool(v20) & ~ hBOOL(v20)))))
% 274.66/45.57 |
% 274.66/45.57 | ALPHA: (fact_972_unique__quotient__lemma) implies:
% 274.66/45.57 | (196) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 274.66/45.57 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 274.66/45.57 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int]
% 274.66/45.58 | : ! [v7: int] : ! [v8: fun_int_bool] : ! [v9: int] : ! [v10:
% 274.66/45.58 | int] : ! [v11: bool] : ( ~ (times_times_int(v1, v4) = v9) | ~
% 274.66/45.58 | (times_times_int(v1, v2) = v6) | ~
% 274.66/45.58 | (hAPP_i1948725293t_bool(ord_less_eq_int, v7) = v8) | ~
% 274.66/45.58 | (plus_plus_int(v9, v5) = v10) | ~ (plus_plus_int(v6, v3) = v7) |
% 274.66/45.58 | ~ (hAPP_int_bool(v8, v10) = v11) | ~ int(v5) | ~ int(v4) | ~
% 274.66/45.58 | int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v11) | ? [v12:
% 274.66/45.58 | bool] : ? [v13: fun_int_bool] : ? [v14: bool] : ? [v15:
% 274.66/45.58 | fun_int_bool] : ? [v16: bool] : ? [v17: fun_int_bool] : ?
% 274.66/45.58 | [v18: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v17
% 274.66/45.58 | & hAPP_int_bool(v17, v4) = v18 & fun_int_bool(v17) &
% 274.66/45.58 | bool(v18) & hBOOL(v18)) |
% 274.66/45.58 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v15 &
% 274.66/45.58 | hAPP_int_bool(v15, v1) = v16 & fun_int_bool(v15) & bool(v16)
% 274.66/45.58 | & ~ hBOOL(v16)) | (hAPP_i1948725293t_bool(ord_less_int, v3)
% 274.66/45.58 | = v13 & hAPP_int_bool(v13, v1) = v14 & fun_int_bool(v13) &
% 274.66/45.58 | bool(v14) & ~ hBOOL(v14)) | (hAPP_int_bool(v0, v3) = v12 &
% 274.66/45.58 | bool(v12) & ~ hBOOL(v12)))))
% 274.66/45.58 |
% 274.66/45.58 | ALPHA: (fact_973_xy) implies:
% 274.66/45.58 | (197) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.58 | ? [v4: int] : ? [v5: fun_nat_int] : ? [v6: int] : ? [v7: int] : ?
% 274.66/45.58 | [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12:
% 274.66/45.58 | int] : ? [v13: int] : (times_times_int(v11, v13) = v7 &
% 274.66/45.58 | times_times_int(v9, m) = v10 & number_number_of_int(v8) = v9 &
% 274.66/45.58 | bit1(pls) = v1 & bit0(v2) = v8 & bit0(v1) = v2 &
% 274.66/45.58 | number_number_of_nat(v2) = v3 & power_power_int(y) = v5 &
% 274.66/45.58 | power_power_int(x) = v0 & hAPP_nat_int(v5, v3) = v6 &
% 274.66/45.58 | hAPP_nat_int(v0, v3) = v4 & hAPP_nat_int(semiri1621563631at_int, n)
% 274.66/45.58 | = v12 & plus_plus_int(v10, one_one_int) = v11 & plus_plus_int(v4,
% 274.66/45.58 | v6) = v7 & plus_plus_int(one_one_int, v12) = v13 &
% 274.66/45.58 | fun_nat_int(v5) & fun_nat_int(v0) & nat(v3) & int(v13) & int(v12) &
% 274.66/45.58 | int(v11) & int(v10) & int(v9) & int(v8) & int(v7) & int(v6) &
% 274.66/45.58 | int(v4) & int(v2) & int(v1))
% 274.66/45.58 |
% 274.66/45.58 | ALPHA: (fact_974_Int2_Oaux__1) implies:
% 274.66/45.58 | (198) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] :
% 274.66/45.58 | ? [v4: nat] : (number_number_of_int(v1) = v2 & bit1(pls) = v0 &
% 274.66/45.58 | bit0(v0) = v1 & number_number_of_nat(v1) = v4 &
% 274.66/45.58 | hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & fun_int_bool(v3) &
% 274.66/45.58 | nat(v4) & int(v2) & int(v1) & int(v0) & ! [v5: int] : ! [v6:
% 274.66/45.58 | bool] : ( ~ (hAPP_int_bool(v3, v5) = v6) | ~ int(v5) | ~
% 274.66/45.58 | hBOOL(v6) | ? [v7: nat] : ? [v8: nat] : ? [v9: int] :
% 274.66/45.58 | (minus_minus_int(v5, v2) = v9 & nat_1(v9) = v8 & nat_1(v5) = v7 &
% 274.66/45.58 | minus_minus_nat(v7, v4) = v8 & nat(v8) & nat(v7) & int(v9))))
% 274.66/45.58 |
% 274.66/45.58 | ALPHA: (fact_975_Int2_Oaux__2) implies:
% 274.66/45.58 | (199) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] :
% 274.66/45.58 | ? [v4: fun_nat_bool] : (hAPP_n1699378549t_bool(ord_less_nat,
% 274.66/45.58 | zero_zero_nat) = v4 & number_number_of_int(v1) = v2 & bit1(pls) =
% 274.66/45.58 | v0 & bit0(v0) = v1 & hAPP_i1948725293t_bool(ord_less_int, v2) = v3
% 274.66/45.58 | & fun_nat_bool(v4) & fun_int_bool(v3) & int(v2) & int(v1) & int(v0)
% 274.66/45.58 | & ! [v5: int] : ! [v6: bool] : ( ~ (hAPP_int_bool(v3, v5) = v6) |
% 274.66/45.58 | ~ int(v5) | ~ hBOOL(v6) | ? [v7: int] : ? [v8: nat] : ? [v9:
% 274.66/45.58 | bool] : (minus_minus_int(v5, v2) = v7 & nat_1(v7) = v8 &
% 274.66/45.58 | hAPP_nat_bool(v4, v8) = v9 & nat(v8) & int(v7) & bool(v9) &
% 274.66/45.58 | hBOOL(v9))))
% 274.66/45.58 |
% 274.66/45.58 | ALPHA: (fact_976__096_B_Bthesis_O_A_I_B_Bt_O_As_____A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_)
% 274.66/45.58 | implies:
% 274.66/45.58 | (200) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 274.66/45.58 | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8:
% 274.66/45.58 | int] : ? [v9: int] : ? [v10: int] : (times_times_int(v9, v10) =
% 274.66/45.58 | v5 & times_times_int(v7, m) = v8 & number_number_of_int(v6) = v7 &
% 274.66/45.58 | bit1(pls) = v1 & bit0(v2) = v6 & bit0(v1) = v2 &
% 274.66/45.58 | number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 274.66/45.58 | hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v8, one_one_int) = v9 &
% 274.66/45.58 | plus_plus_int(v4, one_one_int) = v5 & fun_nat_int(v0) & nat(v3) &
% 274.66/45.58 | int(v10) & int(v9) & int(v8) & int(v7) & int(v6) & int(v5) &
% 274.66/45.58 | int(v4) & int(v2) & int(v1))
% 274.66/45.58 |
% 274.66/45.58 | ALPHA: (fact_983_zprime__2) implies:
% 274.66/45.58 | (201) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: bool] :
% 274.66/45.58 | (number_number_of_int(v1) = v2 & bit1(pls) = v0 & bit0(v0) = v1 &
% 274.66/45.58 | hAPP_int_bool(zprime, v2) = v3 & int(v2) & int(v1) & int(v0) &
% 274.66/45.58 | bool(v3) & hBOOL(v3))
% 274.66/45.58 |
% 274.66/45.58 | ALPHA: (fact_985__0964_A_K_Am_A_L_A1_Advd_As_____A_094_A2_A_L_A1_096) implies:
% 275.32/45.58 | (202) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.32/45.58 | int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: fun_nat_int]
% 275.32/45.58 | : ? [v8: nat] : ? [v9: int] : ? [v10: int] : ? [v11: bool] :
% 275.32/45.58 | (times_times_int(v3, m) = v4 & number_number_of_int(v2) = v3 &
% 275.32/45.58 | bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) = v1 &
% 275.32/45.58 | number_number_of_nat(v1) = v8 & power_power_int(s) = v7 &
% 275.32/45.58 | hAPP_i1948725293t_bool(dvd_dvd_int, v5) = v6 & hAPP_nat_int(v7, v8)
% 275.32/45.58 | = v9 & plus_plus_int(v9, one_one_int) = v10 & plus_plus_int(v4,
% 275.32/45.58 | one_one_int) = v5 & hAPP_int_bool(v6, v10) = v11 &
% 275.32/45.58 | fun_nat_int(v7) & fun_int_bool(v6) & nat(v8) & int(v10) & int(v9) &
% 275.32/45.58 | int(v5) & int(v4) & int(v3) & int(v2) & int(v1) & int(v0) &
% 275.32/45.58 | bool(v11) & hBOOL(v11))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_986_real__sum__squared__expand) implies:
% 275.32/45.58 | (203) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: real] :
% 275.32/45.58 | (number267125858f_real(v1) = v3 & bit1(pls) = v0 & bit0(v0) = v1 &
% 275.32/45.58 | number_number_of_nat(v1) = v2 & real(v3) & nat(v2) & int(v1) &
% 275.32/45.58 | int(v0) & ! [v4: real] : ! [v5: real] : ! [v6: fun_nat_real] :
% 275.32/45.58 | ! [v7: real] : ! [v8: fun_nat_real] : ! [v9: real] : ! [v10:
% 275.32/45.58 | real] : ! [v11: real] : ! [v12: real] : ! [v13: real] : ( ~
% 275.32/45.58 | (times_times_real(v11, v5) = v12) | ~ (times_times_real(v3, v4)
% 275.32/45.58 | = v11) | ~ (power_power_real(v5) = v8) | ~
% 275.32/45.58 | (power_power_real(v4) = v6) | ~ (hAPP_nat_real(v8, v2) = v9) |
% 275.32/45.58 | ~ (hAPP_nat_real(v6, v2) = v7) | ~ (plus_plus_real(v10, v12) =
% 275.32/45.58 | v13) | ~ (plus_plus_real(v7, v9) = v10) | ~ real(v5) | ~
% 275.32/45.58 | real(v4) | ? [v14: real] : ? [v15: fun_nat_real] :
% 275.32/45.58 | (power_power_real(v14) = v15 & hAPP_nat_real(v15, v2) = v13 &
% 275.32/45.58 | plus_plus_real(v4, v5) = v14 & fun_nat_real(v15) & real(v14) &
% 275.32/45.58 | real(v13))))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_987__096s_____A_094_A2_A_N_A_N1_A_061_As_____A_094_A2_A_L_A1_096)
% 275.32/45.58 | implies:
% 275.32/45.58 | (204) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 275.32/45.58 | ? [v4: int] : ? [v5: int] : ? [v6: int] : (minus_minus_int(v4, v5)
% 275.32/45.58 | = v6 & number_number_of_int(min) = v5 & bit1(pls) = v1 & bit0(v1) =
% 275.32/45.58 | v2 & number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 275.32/45.58 | hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v4, one_one_int) = v6 &
% 275.32/45.58 | fun_nat_int(v0) & nat(v3) & int(v6) & int(v5) & int(v4) & int(v2) &
% 275.32/45.58 | int(v1))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_988__0964_A_K_Am_A_L_A1_Advd_As_____A_094_A2_A_N_A_N1_096)
% 275.32/45.58 | implies:
% 275.32/45.58 | (205) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.32/45.58 | int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: fun_nat_int]
% 275.32/45.58 | : ? [v8: nat] : ? [v9: int] : ? [v10: int] : ? [v11: int] : ?
% 275.32/45.58 | [v12: bool] : (minus_minus_int(v9, v10) = v11 & times_times_int(v3,
% 275.32/45.58 | m) = v4 & number_number_of_int(v2) = v3 &
% 275.32/45.58 | number_number_of_int(min) = v10 & bit1(pls) = v0 & bit0(v1) = v2 &
% 275.32/45.58 | bit0(v0) = v1 & number_number_of_nat(v1) = v8 & power_power_int(s)
% 275.32/45.58 | = v7 & hAPP_i1948725293t_bool(dvd_dvd_int, v5) = v6 &
% 275.32/45.58 | hAPP_nat_int(v7, v8) = v9 & plus_plus_int(v4, one_one_int) = v5 &
% 275.32/45.58 | hAPP_int_bool(v6, v11) = v12 & fun_nat_int(v7) & fun_int_bool(v6) &
% 275.32/45.58 | nat(v8) & int(v11) & int(v10) & int(v9) & int(v5) & int(v4) &
% 275.32/45.58 | int(v3) & int(v2) & int(v1) & int(v0) & bool(v12) & hBOOL(v12))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_989__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096) implies:
% 275.32/45.58 | (206) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.32/45.58 | int] : ? [v5: int] : ? [v6: int] : (legendre(v0, v6) =
% 275.32/45.58 | one_one_int & times_times_int(v4, m) = v5 &
% 275.32/45.58 | number_number_of_int(v3) = v4 & number_number_of_int(min) = v0 &
% 275.32/45.58 | bit1(pls) = v1 & bit0(v2) = v3 & bit0(v1) = v2 & plus_plus_int(v5,
% 275.32/45.58 | one_one_int) = v6 & int(v6) & int(v5) & int(v4) & int(v3) &
% 275.32/45.58 | int(v2) & int(v1) & int(v0))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_995_zdvd__not__zless) implies:
% 275.32/45.58 | (207) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.32/45.58 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.32/45.58 | int] : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~
% 275.32/45.58 | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~
% 275.32/45.58 | (hAPP_int_bool(v3, v2) = v4) | ~ int(v2) | ~ int(v1) | ~
% 275.32/45.58 | hBOOL(v4) | ? [v5: bool] : ? [v6: fun_int_bool] : ? [v7: bool]
% 275.32/45.58 | : ((hAPP_i1948725293t_bool(ord_less_int, v2) = v6 &
% 275.32/45.58 | hAPP_int_bool(v6, v1) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 275.32/45.58 | hBOOL(v7)) | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~
% 275.32/45.58 | hBOOL(v5)))))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_997_zdvd__antisym__nonneg) implies:
% 275.32/45.58 | (208) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.32/45.58 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.32/45.58 | int] : ! [v3: bool] : ! [v4: bool] : (v2 = v1 | ~
% 275.32/45.58 | (hAPP_int_bool(v0, v2) = v3) | ~ (hAPP_int_bool(v0, v1) = v4) |
% 275.32/45.58 | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5:
% 275.32/45.58 | fun_int_bool] : ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8:
% 275.32/45.58 | bool] : ((hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v5 &
% 275.32/45.58 | hAPP_int_bool(v5, v1) = v6 & fun_int_bool(v5) & bool(v6) & ~
% 275.32/45.58 | hBOOL(v6)) | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v7 &
% 275.32/45.58 | hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 275.32/45.58 | hBOOL(v8)))))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1000_rel__simps_I9_J) implies:
% 275.32/45.58 | (209) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, min) =
% 275.32/45.58 | v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~
% 275.32/45.58 | (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~ hBOOL(v2) | ?
% 275.32/45.58 | [v3: int] : ? [v4: bool] : (bit1(v1) = v3 & hAPP_int_bool(v0,
% 275.32/45.58 | v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1: int] :
% 275.32/45.58 | ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 275.32/45.58 | hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit1(v1) = v3 &
% 275.32/45.58 | hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~
% 275.32/45.58 | hBOOL(v4))))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1002_rel__simps_I6_J) implies:
% 275.32/45.58 | (210) ? [v0: fun_int_bool] : ? [v1: bool] :
% 275.32/45.58 | (hAPP_i1948725293t_bool(ord_less_int, min) = v0 & hAPP_int_bool(v0,
% 275.32/45.58 | pls) = v1 & fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1003_rel__simps_I3_J) implies:
% 275.32/45.58 | (211) ? [v0: fun_int_bool] : ? [v1: bool] :
% 275.32/45.58 | (hAPP_i1948725293t_bool(ord_less_int, pls) = v0 & hAPP_int_bool(v0,
% 275.32/45.58 | min) = v1 & fun_int_bool(v0) & bool(v1) & ~ hBOOL(v1))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1004_rel__simps_I8_J) implies:
% 275.32/45.58 | (212) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int, min) =
% 275.32/45.58 | v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2: bool] : ( ~
% 275.32/45.58 | (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) | ~ hBOOL(v2) | ?
% 275.32/45.58 | [v3: int] : ? [v4: bool] : (bit0(v1) = v3 & hAPP_int_bool(v0,
% 275.32/45.58 | v3) = v4 & int(v3) & bool(v4) & hBOOL(v4))) & ! [v1: int] :
% 275.32/45.58 | ! [v2: bool] : ( ~ (hAPP_int_bool(v0, v1) = v2) | ~ int(v1) |
% 275.32/45.58 | hBOOL(v2) | ? [v3: int] : ? [v4: bool] : (bit0(v1) = v3 &
% 275.32/45.58 | hAPP_int_bool(v0, v3) = v4 & int(v3) & bool(v4) & ~
% 275.32/45.58 | hBOOL(v4))))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1007_bin__less__0__simps_I2_J) implies:
% 275.32/45.58 | (213) ? [v0: fun_int_bool] : ? [v1: bool] :
% 275.32/45.58 | (hAPP_i1948725293t_bool(ord_less_int, min) = v0 & hAPP_int_bool(v0,
% 275.32/45.58 | zero_zero_int) = v1 & fun_int_bool(v0) & bool(v1) & hBOOL(v1))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1009_rel__simps_I20_J) implies:
% 275.32/45.58 | (214) ? [v0: fun_int_bool] : ? [v1: bool] :
% 275.32/45.58 | (hAPP_i1948725293t_bool(ord_less_eq_int, pls) = v0 &
% 275.32/45.58 | hAPP_int_bool(v0, min) = v1 & fun_int_bool(v0) & bool(v1) & ~
% 275.32/45.58 | hBOOL(v1))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1011_eq__number__of__Pls__Min) implies:
% 275.32/45.58 | (215) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 275.32/45.58 | number_number_of_int(pls) = v0 & number_number_of_int(min) = v1 &
% 275.32/45.58 | int(v1) & int(v0))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1012_rel__simps_I7_J) implies:
% 275.32/45.58 | (216) ? [v0: fun_int_bool] : ? [v1: bool] :
% 275.32/45.58 | (hAPP_i1948725293t_bool(ord_less_int, min) = v0 & hAPP_int_bool(v0,
% 275.32/45.58 | min) = v1 & fun_int_bool(v0) & bool(v1) & ~ hBOOL(v1))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1022_zdvd__imp__le) implies:
% 275.32/45.58 | (217) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.32/45.58 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.32/45.58 | int] : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~
% 275.32/45.58 | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~
% 275.32/45.58 | (hAPP_int_bool(v3, v2) = v4) | ~ int(v2) | ~ int(v1) | ~
% 275.32/45.58 | hBOOL(v4) | ? [v5: bool] : ? [v6: fun_int_bool] : ? [v7: bool]
% 275.32/45.58 | : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v6 &
% 275.32/45.58 | hAPP_int_bool(v6, v2) = v7 & fun_int_bool(v6) & bool(v7) &
% 275.32/45.58 | hBOOL(v7)) | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~
% 275.32/45.58 | hBOOL(v5)))))
% 275.32/45.58 |
% 275.32/45.58 | ALPHA: (fact_1024_rel__simps_I25_J) implies:
% 275.32/45.59 | (218) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 275.32/45.59 | (hAPP_i1948725293t_bool(ord_less_eq_int, min) = v0 &
% 275.32/45.59 | hAPP_i1948725293t_bool(ord_less_int, min) = v1 & fun_int_bool(v1) &
% 275.32/45.59 | fun_int_bool(v0) & ! [v2: int] : ! [v3: bool] : ( ~
% 275.32/45.59 | (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 275.32/45.59 | [v4: int] : ? [v5: bool] : (bit0(v2) = v4 & hAPP_int_bool(v0,
% 275.32/45.59 | v4) = v5 & int(v4) & bool(v5) & hBOOL(v5))) & ! [v2: int] :
% 275.32/45.59 | ! [v3: bool] : ( ~ (hAPP_int_bool(v1, v2) = v3) | ~ int(v2) |
% 275.32/45.59 | hBOOL(v3) | ? [v4: int] : ? [v5: bool] : (bit0(v2) = v4 &
% 275.32/45.59 | hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & ~
% 275.32/45.59 | hBOOL(v5))))
% 275.32/45.59 |
% 275.32/45.59 | ALPHA: (fact_1029_zmult__eq__1__iff) implies:
% 275.36/45.59 | (219) ? [v0: int] : (number_number_of_int(min) = v0 & int(v0) & ! [v1:
% 275.36/45.59 | int] : ! [v2: int] : (v2 = v0 | v2 = one_one_int | ~
% 275.36/45.59 | (times_times_int(v1, v2) = one_one_int) | ~ int(v2) | ~
% 275.36/45.59 | int(v1)) & ! [v1: int] : ! [v2: int] : (v2 = v0 | v1 =
% 275.36/45.59 | one_one_int | ~ (times_times_int(v1, v2) = one_one_int) | ~
% 275.36/45.59 | int(v2) | ~ int(v1)) & ! [v1: int] : ! [v2: int] : (v2 =
% 275.36/45.59 | one_one_int | v1 = v0 | ~ (times_times_int(v1, v2) =
% 275.36/45.59 | one_one_int) | ~ int(v2) | ~ int(v1)) & ! [v1: int] : !
% 275.36/45.59 | [v2: int] : (v1 = v0 | v1 = one_one_int | ~ (times_times_int(v1,
% 275.36/45.59 | v2) = one_one_int) | ~ int(v2) | ~ int(v1)) & ! [v1: int]
% 275.36/45.59 | : (v1 = one_one_int | ~ (times_times_int(v0, v0) = v1)) & ! [v1:
% 275.36/45.59 | int] : (v1 = one_one_int | ~ (times_times_int(one_one_int,
% 275.36/45.59 | one_one_int) = v1)))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1030_pos__zmult__eq__1__iff__lemma) implies:
% 275.36/45.59 | (220) ? [v0: int] : (number_number_of_int(min) = v0 & int(v0) & ! [v1:
% 275.36/45.59 | int] : ! [v2: int] : (v1 = v0 | v1 = one_one_int | ~
% 275.36/45.59 | (times_times_int(v1, v2) = one_one_int) | ~ int(v2) | ~
% 275.36/45.59 | int(v1)))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1034__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096) implies:
% 275.36/45.59 | (221) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.36/45.59 | int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: int] : ?
% 275.36/45.59 | [v8: bool] : (quadRes(v5) = v6 & times_times_int(v3, m) = v4 &
% 275.36/45.59 | number_number_of_int(v2) = v3 & number_number_of_int(min) = v7 &
% 275.36/45.59 | bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) = v1 & plus_plus_int(v4,
% 275.36/45.59 | one_one_int) = v5 & hAPP_int_bool(v6, v7) = v8 & fun_int_bool(v6)
% 275.36/45.59 | & int(v7) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) &
% 275.36/45.59 | int(v0) & bool(v8) & hBOOL(v8))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1035_s) implies:
% 275.36/45.59 | (222) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 275.36/45.59 | ? [v4: int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: int] :
% 275.36/45.59 | ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: bool] :
% 275.36/45.59 | (zcong(v4, v5) = v6 & times_times_int(v8, m) = v9 &
% 275.36/45.59 | number_number_of_int(v7) = v8 & number_number_of_int(min) = v5 &
% 275.36/45.59 | bit1(pls) = v1 & bit0(v2) = v7 & bit0(v1) = v2 &
% 275.36/45.59 | number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 275.36/45.59 | hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v9, one_one_int) = v10 &
% 275.36/45.59 | hAPP_int_bool(v6, v10) = v11 & fun_nat_int(v0) & fun_int_bool(v6) &
% 275.36/45.59 | nat(v3) & int(v10) & int(v9) & int(v8) & int(v7) & int(v5) &
% 275.36/45.59 | int(v4) & int(v2) & int(v1) & bool(v11) & hBOOL(v11))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1036__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_)
% 275.36/45.59 | implies:
% 275.36/45.59 | (223) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.36/45.59 | int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: int] : ?
% 275.36/45.59 | [v8: bool] : ? [v9: int] : (times_times_int(v3, m) = v4 &
% 275.36/45.59 | number_number_of_int(v2) = v3 & number_number_of_int(min) = v7 &
% 275.36/45.59 | bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) = v1 & plus_plus_int(v4,
% 275.36/45.59 | one_one_int) = v5 & int(v7) & int(v5) & int(v4) & int(v3) &
% 275.36/45.59 | int(v2) & int(v1) & int(v0) & (( ~ (v9 = one_one_int) &
% 275.36/45.59 | legendre(v7, v5) = v9 & int(v9)) | (quadRes(v5) = v6 &
% 275.36/45.59 | hAPP_int_bool(v6, v7) = v8 & fun_int_bool(v6) & bool(v8) &
% 275.36/45.59 | hBOOL(v8))))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1037_s1) implies:
% 275.36/45.59 | (224) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 275.36/45.59 | ? [v4: int] : ? [v5: int] : ? [v6: fun_int_bool] : ? [v7: int] :
% 275.36/45.59 | ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: bool] :
% 275.36/45.59 | (zcong(v4, v5) = v6 & times_times_int(v8, m) = v9 &
% 275.36/45.59 | number_number_of_int(v7) = v8 & number_number_of_int(min) = v5 &
% 275.36/45.59 | bit1(pls) = v1 & bit0(v2) = v7 & bit0(v1) = v2 &
% 275.36/45.59 | number_number_of_nat(v2) = v3 & power_power_int(s1) = v0 &
% 275.36/45.59 | hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v9, one_one_int) = v10 &
% 275.36/45.59 | hAPP_int_bool(v6, v10) = v11 & fun_nat_int(v0) & fun_int_bool(v6) &
% 275.36/45.59 | nat(v3) & int(v10) & int(v9) & int(v8) & int(v7) & int(v5) &
% 275.36/45.59 | int(v4) & int(v2) & int(v1) & bool(v11) & hBOOL(v11))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1038_s0p) implies:
% 275.36/45.59 | (225) ? [v0: fun_int_bool] : ? [v1: bool] : ? [v2: fun_int_bool] : ?
% 275.36/45.59 | [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int]
% 275.36/45.59 | : ? [v8: int] : ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11:
% 275.36/45.59 | bool] : (zcong(s1, s) = v10 & times_times_int(v6, m) = v7 &
% 275.36/45.59 | number_number_of_int(v5) = v6 & bit1(pls) = v3 & bit0(v4) = v5 &
% 275.36/45.59 | bit0(v3) = v4 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.36/45.59 | zero_zero_int) = v0 & hAPP_i1948725293t_bool(ord_less_int, s) =
% 275.36/45.59 | v2 & plus_plus_int(v7, one_one_int) = v8 & hAPP_int_bool(v10, v8) =
% 275.36/45.59 | v11 & hAPP_int_bool(v2, v8) = v9 & hAPP_int_bool(v0, s) = v1 &
% 275.36/45.59 | fun_int_bool(v10) & fun_int_bool(v2) & fun_int_bool(v0) & int(v8) &
% 275.36/45.59 | int(v7) & int(v6) & int(v5) & int(v4) & int(v3) & bool(v11) &
% 275.36/45.59 | bool(v9) & bool(v1) & hBOOL(v11) & hBOOL(v9) & hBOOL(v1))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1039__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4)
% 275.36/45.59 | implies:
% 275.36/45.59 | (226) ? [v0: int] : ? [v1: int] : ? [v2: nat] : ? [v3: int] : ? [v4:
% 275.36/45.59 | int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] :
% 275.36/45.59 | ? [v9: fun_nat_int] : ? [v10: int] : ? [v11: fun_int_bool] : ?
% 275.36/45.59 | [v12: bool] : (zcong(v10, v3) = v11 & times_times_int(v5, m) = v6 &
% 275.36/45.59 | number_number_of_int(v4) = v5 & number_number_of_int(min) = v3 &
% 275.36/45.59 | bit1(pls) = v0 & bit0(v1) = v4 & bit0(v0) = v1 &
% 275.36/45.59 | number_number_of_nat(v1) = v2 & power_power_int(v8) = v9 &
% 275.36/45.59 | hAPP_nat_int(v9, v2) = v10 & plus_plus_int(v6, one_one_int) = v7 &
% 275.36/45.59 | hAPP_int_bool(v11, v7) = v12 & fun_nat_int(v9) & fun_int_bool(v11)
% 275.36/45.59 | & nat(v2) & int(v10) & int(v8) & int(v7) & int(v6) & int(v5) &
% 275.36/45.59 | int(v4) & int(v3) & int(v1) & int(v0) & bool(v12) & hBOOL(v12))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1062_zcong__less__eq) implies:
% 275.36/45.59 | (227) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.36/45.59 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.59 | int] : ! [v3: int] : ! [v4: bool] : ! [v5: bool] : ! [v6:
% 275.36/45.59 | bool] : (v3 = v2 | ~ (hAPP_int_bool(v0, v3) = v4) | ~
% 275.36/45.59 | (hAPP_int_bool(v0, v2) = v5) | ~ (hAPP_int_bool(v0, v1) = v6) |
% 275.36/45.59 | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v6) | ~ hBOOL(v5)
% 275.36/45.59 | | ~ hBOOL(v4) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9:
% 275.36/45.59 | fun_int_bool] : ? [v10: bool] : ? [v11: fun_int_bool] : ?
% 275.36/45.59 | [v12: bool] : ((zcong(v3, v2) = v7 & hAPP_int_bool(v7, v1) = v8 &
% 275.36/45.59 | fun_int_bool(v7) & bool(v8) & ~ hBOOL(v8)) |
% 275.36/45.59 | (hAPP_i1948725293t_bool(ord_less_int, v3) = v9 &
% 275.36/45.59 | hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) &
% 275.36/45.59 | ~ hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_int, v2) =
% 275.36/45.59 | v11 & hAPP_int_bool(v11, v1) = v12 & fun_int_bool(v11) &
% 275.36/45.59 | bool(v12) & ~ hBOOL(v12)))))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1063_zcong__not__zero) implies:
% 275.36/45.59 | (228) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.36/45.59 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.59 | int] : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~ (zcong(v2,
% 275.36/45.59 | zero_zero_int) = v3) | ~ (hAPP_int_bool(v3, v1) = v4) | ~
% 275.36/45.59 | int(v2) | ~ int(v1) | ~ hBOOL(v4) | ? [v5: bool] : ? [v6:
% 275.36/45.59 | fun_int_bool] : ? [v7: bool] :
% 275.36/45.59 | ((hAPP_i1948725293t_bool(ord_less_int, v2) = v6 &
% 275.36/45.59 | hAPP_int_bool(v6, v1) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 275.36/45.59 | hBOOL(v7)) | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~
% 275.36/45.59 | hBOOL(v5)))))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1071_zcong__zprime__prod__zero__contra) implies:
% 275.36/45.59 | (229) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.36/45.59 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.59 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.36/45.59 | [v6: bool] : ( ~ (zcong(v4, zero_zero_int) = v5) | ~
% 275.36/45.59 | (times_times_int(v2, v1) = v4) | ~ (hAPP_int_bool(v5, v3) = v6)
% 275.36/45.59 | | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v6) | ? [v7:
% 275.36/45.59 | bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool]
% 275.36/45.59 | : ? [v11: fun_int_bool] : ? [v12: bool] : ((zcong(v2,
% 275.36/45.59 | zero_zero_int) = v9 & hAPP_int_bool(v9, v3) = v10 &
% 275.36/45.59 | fun_int_bool(v9) & bool(v10) & hBOOL(v10)) | (zcong(v1,
% 275.36/45.59 | zero_zero_int) = v11 & hAPP_int_bool(v11, v3) = v12 &
% 275.36/45.59 | fun_int_bool(v11) & bool(v12) & hBOOL(v12)) |
% 275.36/45.59 | (hAPP_int_bool(v0, v2) = v8 & bool(v8) & ~ hBOOL(v8)) |
% 275.36/45.59 | (hAPP_int_bool(zprime, v3) = v7 & bool(v7) & ~ hBOOL(v7)))))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1075_transfer__nat__int__relations_I4_J) implies:
% 275.36/45.59 | (230) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.36/45.59 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.59 | int] : ! [v3: nat] : ! [v4: fun_nat_bool] : ! [v5: nat] : !
% 275.36/45.59 | [v6: bool] : ( ~ (nat_1(v2) = v3) | ~ (nat_1(v1) = v5) | ~
% 275.36/45.59 | (hAPP_n1699378549t_bool(dvd_dvd_nat, v3) = v4) | ~
% 275.36/45.59 | (hAPP_nat_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ? [v7:
% 275.36/45.59 | bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ? [v10: bool]
% 275.36/45.59 | : ((hAPP_int_bool(v0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.36/45.59 | (hAPP_int_bool(v0, v1) = v8 & bool(v8) & ~ hBOOL(v8)) | (( ~
% 275.36/45.59 | hBOOL(v6) | (hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v9 &
% 275.36/45.59 | hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) &
% 275.36/45.59 | bool(v10) & hBOOL(v10))) & (hBOOL(v6) |
% 275.36/45.59 | (hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v9 &
% 275.36/45.59 | hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) &
% 275.36/45.59 | bool(v10) & ~ hBOOL(v10)))))))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1077_nat__dvd__iff) implies:
% 275.36/45.59 | (231) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.36/45.59 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.59 | nat] : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 275.36/45.59 | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~
% 275.36/45.59 | (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~
% 275.36/45.59 | (hAPP_int_bool(v3, v4) = v5) | ~ nat(v2) | ~ int(v1) | ? [v6:
% 275.36/45.59 | bool] : ? [v7: nat] : ? [v8: fun_nat_bool] : ? [v9: bool] :
% 275.36/45.59 | ((nat_1(v1) = v7 & hAPP_n1699378549t_bool(dvd_dvd_nat, v7) = v8 &
% 275.36/45.59 | hAPP_nat_bool(v8, v2) = v9 & fun_nat_bool(v8) & nat(v7) &
% 275.36/45.59 | bool(v9) & hBOOL(v9)) | (hAPP_int_bool(v0, v1) = v6 &
% 275.36/45.59 | bool(v6) & (( ~ (v2 = zero_zero_nat) & ~ hBOOL(v6)) |
% 275.36/45.59 | (hBOOL(v6) & ~ hBOOL(v5)))))) & ! [v1: int] : ! [v2:
% 275.36/45.59 | nat] : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 275.36/45.59 | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~
% 275.36/45.59 | (hAPP_nat_int(semiri1621563631at_int, v2) = v4) | ~
% 275.36/45.59 | (hAPP_int_bool(v3, v4) = v5) | ~ nat(v2) | ~ int(v1) | ? [v6:
% 275.36/45.59 | nat] : ? [v7: fun_nat_bool] : ? [v8: bool] : ? [v9: bool] :
% 275.36/45.59 | ((nat_1(v1) = v6 & hAPP_n1699378549t_bool(dvd_dvd_nat, v6) = v7 &
% 275.36/45.59 | hAPP_nat_bool(v7, v2) = v8 & fun_nat_bool(v7) & nat(v6) &
% 275.36/45.59 | bool(v8) & ~ hBOOL(v8)) | ((v2 = zero_zero_nat |
% 275.36/45.59 | (hAPP_int_bool(v0, v1) = v9 & bool(v9) & hBOOL(v9))) &
% 275.36/45.59 | (hBOOL(v5) | (hAPP_int_bool(v0, v1) = v9 & bool(v9) & ~
% 275.36/45.59 | hBOOL(v9)))))))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1078_zcong__neg__1__impl__ne__1) implies:
% 275.36/45.59 | (232) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] :
% 275.36/45.59 | ? [v4: int] : (number_number_of_int(v1) = v2 &
% 275.36/45.59 | number_number_of_int(min) = v4 & bit1(pls) = v0 & bit0(v0) = v1 &
% 275.36/45.59 | hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & fun_int_bool(v3) &
% 275.36/45.59 | int(v4) & int(v2) & int(v1) & int(v0) & ! [v5: int] : ! [v6: int]
% 275.36/45.59 | : ! [v7: fun_int_bool] : ! [v8: bool] : ( ~ (zcong(v5, v4) = v7)
% 275.36/45.59 | | ~ (hAPP_int_bool(v7, v6) = v8) | ~ int(v6) | ~ int(v5) | ~
% 275.36/45.59 | hBOOL(v8) | ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11:
% 275.36/45.59 | bool] : ((zcong(v5, one_one_int) = v10 & hAPP_int_bool(v10, v6)
% 275.36/45.59 | = v11 & fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11)) |
% 275.36/45.59 | (hAPP_int_bool(v3, v6) = v9 & bool(v9) & ~ hBOOL(v9)))))
% 275.36/45.59 |
% 275.36/45.59 | ALPHA: (fact_1079_Euler_Oaux____1) implies:
% 275.36/45.60 | (233) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 275.36/45.60 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 275.36/45.60 | int(v0) & ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6:
% 275.36/45.60 | fun_nat_int] : ! [v7: int] : ! [v8: fun_int_bool] : ! [v9:
% 275.36/45.60 | bool] : ( ~ (zcong(v7, v4) = v8) | ~ (power_power_int(v3) = v6)
% 275.36/45.60 | | ~ (hAPP_nat_int(v6, v2) = v7) | ~ (hAPP_int_bool(v8, v5) =
% 275.36/45.60 | v9) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ hBOOL(v9) | ?
% 275.36/45.60 | [v10: fun_int_bool] : ? [v11: bool] : ? [v12: fun_int_bool] :
% 275.36/45.60 | ? [v13: bool] : ((zcong(v4, zero_zero_int) = v10 &
% 275.36/45.60 | hAPP_int_bool(v10, v5) = v11 & fun_int_bool(v10) & bool(v11)
% 275.36/45.60 | & hBOOL(v11)) | (hAPP_i1948725293t_bool(dvd_dvd_int, v5) =
% 275.36/45.60 | v12 & hAPP_int_bool(v12, v3) = v13 & fun_int_bool(v12) &
% 275.36/45.60 | bool(v13) & ~ hBOOL(v13)))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1080_divides__cases) implies:
% 275.36/45.60 | (234) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 275.36/45.60 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 275.36/45.60 | int(v0) & ! [v3: nat] : ! [v4: nat] : ! [v5: nat] : ! [v6:
% 275.36/45.60 | fun_nat_bool] : ! [v7: bool] : (v4 = v3 | v4 = zero_zero_nat |
% 275.36/45.60 | ~ (times_times_nat(v2, v3) = v5) | ~
% 275.36/45.60 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v5) = v6) | ~
% 275.36/45.60 | (hAPP_nat_bool(v6, v4) = v7) | ~ nat(v4) | ~ nat(v3) |
% 275.36/45.60 | hBOOL(v7) | ? [v8: fun_nat_bool] : ? [v9: bool] :
% 275.36/45.60 | (hAPP_n1699378549t_bool(dvd_dvd_nat, v3) = v8 & hAPP_nat_bool(v8,
% 275.36/45.60 | v4) = v9 & fun_nat_bool(v8) & bool(v9) & ~ hBOOL(v9))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1081_Legendre__1mod4) implies:
% 275.36/45.60 | (235) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.36/45.60 | int] : (number_number_of_int(v2) = v3 & number_number_of_int(min) =
% 275.36/45.60 | v4 & bit1(pls) = v0 & bit0(v1) = v2 & bit0(v0) = v1 & int(v4) &
% 275.36/45.60 | int(v3) & int(v2) & int(v1) & int(v0) & ! [v5: int] : ! [v6: int]
% 275.36/45.60 | : ( ~ (times_times_int(v3, v5) = v6) | ~ int(v5) | ? [v7: int] :
% 275.36/45.60 | ? [v8: bool] : ? [v9: int] : (plus_plus_int(v6, one_one_int) =
% 275.36/45.60 | v7 & int(v7) & ((v9 = one_one_int & legendre(v4, v7) =
% 275.36/45.60 | one_one_int) | (hAPP_int_bool(zprime, v7) = v8 & bool(v8) &
% 275.36/45.60 | ~ hBOOL(v8))))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1082__096_091s_____A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_)
% 275.36/45.60 | implies:
% 275.36/45.60 | (236) int(s)
% 275.36/45.60 | (237) ? [v0: fun_nat_int] : ? [v1: int] : ? [v2: int] : ? [v3: nat] :
% 275.36/45.60 | ? [v4: int] : ? [v5: fun_nat_int] : ? [v6: int] : ? [v7:
% 275.36/45.60 | fun_int_bool] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ?
% 275.36/45.60 | [v11: int] : ? [v12: bool] : (zcong(v4, v6) = v7 &
% 275.36/45.60 | times_times_int(v9, m) = v10 & number_number_of_int(v8) = v9 &
% 275.36/45.60 | bit1(pls) = v1 & bit0(v2) = v8 & bit0(v1) = v2 &
% 275.36/45.60 | number_number_of_nat(v2) = v3 & power_power_int(s) = v0 &
% 275.36/45.60 | power_power_int(s1) = v5 & hAPP_nat_int(v5, v3) = v6 &
% 275.36/45.60 | hAPP_nat_int(v0, v3) = v4 & plus_plus_int(v10, one_one_int) = v11 &
% 275.36/45.60 | hAPP_int_bool(v7, v11) = v12 & fun_nat_int(v5) & fun_nat_int(v0) &
% 275.36/45.60 | fun_int_bool(v7) & nat(v3) & int(v11) & int(v10) & int(v9) &
% 275.36/45.60 | int(v8) & int(v6) & int(v4) & int(v2) & int(v1) & bool(v12) &
% 275.36/45.60 | hBOOL(v12))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1083__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s)
% 275.36/45.60 | implies:
% 275.36/45.60 | (238) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 275.36/45.60 | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8:
% 275.36/45.60 | bool] : ? [v9: fun_int_bool] : ? [v10: bool] : ? [v11:
% 275.36/45.60 | fun_int_bool] : ? [v12: bool] : (zcong(s1, v7) = v11 &
% 275.36/45.60 | times_times_int(v4, m) = v5 & number_number_of_int(v3) = v4 &
% 275.36/45.60 | bit1(pls) = v1 & bit0(v2) = v3 & bit0(v1) = v2 &
% 275.36/45.60 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 275.36/45.60 | hAPP_i1948725293t_bool(ord_less_int, v7) = v9 & plus_plus_int(v5,
% 275.36/45.60 | one_one_int) = v6 & hAPP_int_bool(v11, v6) = v12 &
% 275.36/45.60 | hAPP_int_bool(v9, v6) = v10 & hAPP_int_bool(v0, v7) = v8 &
% 275.36/45.60 | fun_int_bool(v11) & fun_int_bool(v9) & fun_int_bool(v0) & int(v7) &
% 275.36/45.60 | int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) &
% 275.36/45.60 | bool(v12) & bool(v10) & bool(v8) & hBOOL(v12) & hBOOL(v10) &
% 275.36/45.60 | hBOOL(v8) & ! [v13: int] : ! [v14: bool] : (v13 = v7 | ~
% 275.36/45.60 | (hAPP_int_bool(v0, v13) = v14) | ~ int(v13) | ~ hBOOL(v14) | ?
% 275.36/45.60 | [v15: fun_int_bool] : ? [v16: bool] : ? [v17: fun_int_bool] :
% 275.36/45.60 | ? [v18: bool] : ((zcong(s1, v13) = v17 & hAPP_int_bool(v17, v6) =
% 275.36/45.60 | v18 & fun_int_bool(v17) & bool(v18) & ~ hBOOL(v18)) |
% 275.36/45.60 | (hAPP_i1948725293t_bool(ord_less_int, v13) = v15 &
% 275.36/45.60 | hAPP_int_bool(v15, v6) = v16 & fun_int_bool(v15) & bool(v16)
% 275.36/45.60 | & ~ hBOOL(v16)))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1085__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L)
% 275.36/45.60 | implies:
% 275.36/45.60 | (239) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 275.36/45.60 | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8:
% 275.36/45.60 | bool] : ? [v9: fun_int_bool] : ? [v10: bool] : ? [v11:
% 275.36/45.60 | fun_int_bool] : ? [v12: bool] : (zcong(s1, v7) = v11 &
% 275.36/45.60 | times_times_int(v4, m) = v5 & number_number_of_int(v3) = v4 &
% 275.36/45.60 | bit1(pls) = v1 & bit0(v2) = v3 & bit0(v1) = v2 &
% 275.36/45.60 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 275.36/45.60 | hAPP_i1948725293t_bool(ord_less_int, v7) = v9 & plus_plus_int(v5,
% 275.36/45.60 | one_one_int) = v6 & hAPP_int_bool(v11, v6) = v12 &
% 275.36/45.60 | hAPP_int_bool(v9, v6) = v10 & hAPP_int_bool(v0, v7) = v8 &
% 275.36/45.60 | fun_int_bool(v11) & fun_int_bool(v9) & fun_int_bool(v0) & int(v7) &
% 275.36/45.60 | int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) &
% 275.36/45.60 | bool(v12) & bool(v10) & bool(v8) & hBOOL(v12) & hBOOL(v10) &
% 275.36/45.60 | hBOOL(v8))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1116_neg__one__power__eq__mod__m) implies:
% 275.36/45.60 | (240) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] :
% 275.36/45.60 | ? [v4: int] : ? [v5: fun_nat_int] : (number_number_of_int(v1) = v2 &
% 275.36/45.60 | number_number_of_int(min) = v4 & bit1(pls) = v0 & bit0(v0) = v1 &
% 275.36/45.60 | power_power_int(v4) = v5 & hAPP_i1948725293t_bool(ord_less_int, v2)
% 275.36/45.60 | = v3 & fun_nat_int(v5) & fun_int_bool(v3) & int(v4) & int(v2) &
% 275.36/45.60 | int(v1) & int(v0) & ! [v6: nat] : ! [v7: nat] : ! [v8: int] : !
% 275.36/45.60 | [v9: int] : ! [v10: int] : ! [v11: fun_int_bool] : ! [v12: bool]
% 275.36/45.60 | : (v10 = v9 | ~ (zcong(v9, v10) = v11) | ~ (hAPP_nat_int(v5, v7)
% 275.36/45.60 | = v10) | ~ (hAPP_nat_int(v5, v6) = v9) | ~
% 275.36/45.60 | (hAPP_int_bool(v11, v8) = v12) | ~ nat(v7) | ~ nat(v6) | ~
% 275.36/45.60 | int(v8) | ~ hBOOL(v12) | ? [v13: bool] : (hAPP_int_bool(v3, v8)
% 275.36/45.60 | = v13 & bool(v13) & ~ hBOOL(v13))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1117_one__not__neg__one__mod__m) implies:
% 275.36/45.60 | (241) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: fun_int_bool] :
% 275.36/45.60 | ? [v4: int] : ? [v5: fun_int_bool] : (zcong(one_one_int, v4) = v5 &
% 275.36/45.60 | number_number_of_int(v1) = v2 & number_number_of_int(min) = v4 &
% 275.36/45.60 | bit1(pls) = v0 & bit0(v0) = v1 &
% 275.36/45.60 | hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & fun_int_bool(v5) &
% 275.36/45.60 | fun_int_bool(v3) & int(v4) & int(v2) & int(v1) & int(v0) & ! [v6:
% 275.36/45.60 | int] : ! [v7: bool] : ( ~ (hAPP_int_bool(v3, v6) = v7) | ~
% 275.36/45.60 | int(v6) | ~ hBOOL(v7) | ? [v8: bool] : (hAPP_int_bool(v5, v6) =
% 275.36/45.60 | v8 & bool(v8) & ~ hBOOL(v8))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1118_neg__one__power) implies:
% 275.36/45.60 | (242) ? [v0: int] : ? [v1: fun_nat_int] : (number_number_of_int(min) = v0
% 275.36/45.60 | & power_power_int(v0) = v1 & fun_nat_int(v1) & int(v0) & ! [v2:
% 275.36/45.60 | nat] : ! [v3: int] : (v3 = v0 | v3 = one_one_int | ~
% 275.36/45.60 | (hAPP_nat_int(v1, v2) = v3) | ~ nat(v2)))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1119_Legendre__def) implies:
% 275.36/45.60 | (243) ? [v0: int] : (number_number_of_int(min) = v0 & int(v0) & ! [v1:
% 275.36/45.60 | int] : ! [v2: int] : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~
% 275.36/45.60 | (zcong(v1, zero_zero_int) = v3) | ~ (hAPP_int_bool(v3, v2) = v4)
% 275.36/45.60 | | ~ int(v2) | ~ int(v1) | ~ hBOOL(v4) | legendre(v1, v2) =
% 275.36/45.60 | zero_zero_int) & ! [v1: int] : ! [v2: int] : ! [v3:
% 275.36/45.60 | fun_int_bool] : ! [v4: bool] : ( ~ (zcong(v1, zero_zero_int) =
% 275.36/45.60 | v3) | ~ (hAPP_int_bool(v3, v2) = v4) | ~ int(v2) | ~ int(v1)
% 275.36/45.60 | | hBOOL(v4) | ? [v5: fun_int_bool] : ? [v6: bool] : ? [v7:
% 275.36/45.60 | int] : (((v7 = v0 & legendre(v1, v2) = v0) | (quadRes(v2) = v5
% 275.36/45.60 | & hAPP_int_bool(v5, v1) = v6 & fun_int_bool(v5) & bool(v6)
% 275.36/45.60 | & hBOOL(v6))) & ((v7 = one_one_int & legendre(v1, v2) =
% 275.36/45.60 | one_one_int) | (quadRes(v2) = v5 & hAPP_int_bool(v5, v1) =
% 275.36/45.60 | v6 & fun_int_bool(v5) & bool(v6) & ~ hBOOL(v6))))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1120_QuadRes__def) implies:
% 275.36/45.60 | (244) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 275.36/45.60 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 275.36/45.60 | int(v0) & ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.36/45.60 | [v6: bool] : ! [v7: int] : ! [v8: fun_nat_int] : ! [v9: int] :
% 275.36/45.60 | ! [v10: fun_int_bool] : ! [v11: bool] : ( ~ (zcong(v9, v4) = v10)
% 275.36/45.60 | | ~ (quadRes(v3) = v5) | ~ (power_power_int(v7) = v8) | ~
% 275.36/45.60 | (hAPP_nat_int(v8, v2) = v9) | ~ (hAPP_int_bool(v10, v3) = v11) |
% 275.36/45.60 | ~ (hAPP_int_bool(v5, v4) = v6) | ~ int(v7) | ~ int(v4) | ~
% 275.36/45.60 | int(v3) | ~ hBOOL(v11) | hBOOL(v6)) & ! [v3: int] : ! [v4:
% 275.36/45.60 | int] : ! [v5: fun_int_bool] : ! [v6: bool] : ( ~ (quadRes(v3) =
% 275.36/45.60 | v5) | ~ (hAPP_int_bool(v5, v4) = v6) | ~ int(v4) | ~ int(v3)
% 275.36/45.60 | | ~ hBOOL(v6) | ? [v7: int] : ? [v8: fun_nat_int] : ? [v9:
% 275.36/45.60 | int] : ? [v10: fun_int_bool] : ? [v11: bool] : (zcong(v9, v4)
% 275.36/45.60 | = v10 & power_power_int(v7) = v8 & hAPP_nat_int(v8, v2) = v9 &
% 275.36/45.60 | hAPP_int_bool(v10, v3) = v11 & fun_nat_int(v8) &
% 275.36/45.60 | fun_int_bool(v10) & int(v9) & int(v7) & bool(v11) &
% 275.36/45.60 | hBOOL(v11))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1122_zcong__square__zless) implies:
% 275.36/45.60 | (245) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.36/45.60 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.60 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : (v1
% 275.36/45.60 | = one_one_int | ~ (zcong(v3, one_one_int) = v4) | ~
% 275.36/45.60 | (times_times_int(v1, v1) = v3) | ~ (hAPP_int_bool(v4, v2) = v5)
% 275.36/45.60 | | ~ int(v2) | ~ int(v1) | ~ hBOOL(v5) | ? [v6: bool] : ?
% 275.36/45.60 | [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] : ? [v10:
% 275.36/45.60 | int] : ((v10 = v1 & minus_minus_int(v2, one_one_int) = v1) |
% 275.36/45.60 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 275.36/45.60 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 275.36/45.60 | hBOOL(v9)) | (hAPP_int_bool(v0, v1) = v7 & bool(v7) & ~
% 275.36/45.60 | hBOOL(v7)) | (hAPP_int_bool(zprime, v2) = v6 & bool(v6) & ~
% 275.36/45.60 | hBOOL(v6)))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1134_zcong__not) implies:
% 275.36/45.60 | (246) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.36/45.60 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.60 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : !
% 275.36/45.60 | [v6: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) |
% 275.36/45.60 | ~ (hAPP_int_bool(v4, v2) = v5) | ~ (hAPP_int_bool(v0, v1) = v6)
% 275.36/45.60 | | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ hBOOL(v6) | ~
% 275.36/45.60 | hBOOL(v5) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool]
% 275.36/45.60 | : ? [v10: fun_int_bool] : ? [v11: bool] : ((zcong(v3, v1) = v10
% 275.36/45.60 | & hAPP_int_bool(v10, v2) = v11 & fun_int_bool(v10) &
% 275.36/45.60 | bool(v11) & ~ hBOOL(v11)) |
% 275.36/45.60 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 275.36/45.60 | hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 275.36/45.60 | hBOOL(v9)) | (hAPP_int_bool(v0, v3) = v7 & bool(v7) & ~
% 275.36/45.60 | hBOOL(v7)))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1139_zcong__zless__0) implies:
% 275.36/45.60 | (247) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.36/45.60 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.60 | int] : ! [v3: fun_int_bool] : ! [v4: bool] : (v2 =
% 275.36/45.60 | zero_zero_int | ~ (zcong(v2, zero_zero_int) = v3) | ~
% 275.36/45.60 | (hAPP_int_bool(v3, v1) = v4) | ~ int(v2) | ~ int(v1) | ~
% 275.36/45.60 | hBOOL(v4) | ? [v5: bool] : ? [v6: fun_int_bool] : ? [v7: bool]
% 275.36/45.60 | : ((hAPP_i1948725293t_bool(ord_less_int, v2) = v6 &
% 275.36/45.60 | hAPP_int_bool(v6, v1) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 275.36/45.60 | hBOOL(v7)) | (hAPP_int_bool(v0, v2) = v5 & bool(v5) & ~
% 275.36/45.60 | hBOOL(v5)))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1140_zcong__zless__imp__eq) implies:
% 275.36/45.60 | (248) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.36/45.60 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.60 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : !
% 275.36/45.60 | [v6: bool] : (v3 = v1 | ~ (hAPP_i1948725293t_bool(ord_less_int,
% 275.36/45.60 | v3) = v4) | ~ (hAPP_int_bool(v4, v2) = v5) | ~
% 275.36/45.60 | (hAPP_int_bool(v0, v1) = v6) | ~ int(v3) | ~ int(v2) | ~
% 275.36/45.60 | int(v1) | ~ hBOOL(v6) | ~ hBOOL(v5) | ? [v7: bool] : ? [v8:
% 275.36/45.60 | fun_int_bool] : ? [v9: bool] : ? [v10: fun_int_bool] : ?
% 275.36/45.60 | [v11: bool] : ((zcong(v3, v1) = v10 & hAPP_int_bool(v10, v2) =
% 275.36/45.60 | v11 & fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11)) |
% 275.36/45.60 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 275.36/45.60 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 275.36/45.60 | hBOOL(v9)) | (hAPP_int_bool(v0, v3) = v7 & bool(v7) & ~
% 275.36/45.60 | hBOOL(v7)))))
% 275.36/45.60 |
% 275.36/45.60 | ALPHA: (fact_1141_zprime__zdvd__zmult) implies:
% 275.36/45.61 | (249) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.36/45.61 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.36/45.61 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : !
% 275.36/45.61 | [v6: bool] : ( ~ (times_times_int(v3, v1) = v5) | ~
% 275.36/45.61 | (hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v4) | ~
% 275.36/45.61 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v3) | ~ int(v2) | ~
% 275.36/45.61 | int(v1) | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: bool] : ? [v9:
% 275.36/45.61 | bool] : ? [v10: bool] : ((hAPP_int_bool(v4, v3) = v9 &
% 275.36/45.61 | bool(v9) & hBOOL(v9)) | (hAPP_int_bool(v4, v1) = v10 &
% 275.36/45.61 | bool(v10) & hBOOL(v10)) | (hAPP_int_bool(v0, v3) = v7 &
% 275.36/45.61 | bool(v7) & ~ hBOOL(v7)) | (hAPP_int_bool(zprime, v2) = v8 &
% 275.36/45.61 | bool(v8) & ~ hBOOL(v8)))))
% 275.36/45.61 |
% 275.36/45.61 | ALPHA: (fact_1142_zprime__def) implies:
% 275.44/45.61 | (250) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 275.44/45.61 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 275.44/45.61 | hAPP_i1948725293t_bool(ord_less_int, one_one_int) = v0 &
% 275.44/45.61 | fun_int_bool(v1) & fun_int_bool(v0) & ! [v2: int] : ! [v3: bool]
% 275.44/45.61 | : ! [v4: int] : ! [v5: bool] : (v4 = v2 | v4 = one_one_int | ~
% 275.44/45.61 | (hAPP_int_bool(v1, v4) = v5) | ~ (hAPP_int_bool(v0, v2) = v3) |
% 275.44/45.61 | ~ int(v4) | ~ int(v2) | ~ hBOOL(v5) | ? [v6: any] : ? [v7:
% 275.44/45.61 | bool] : ((hAPP_i1948725293t_bool(dvd_dvd_int, v4) = v6 &
% 275.44/45.61 | hAPP_int_bool(v6, v2) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 275.44/45.61 | hBOOL(v7)) | (hAPP_int_bool(zprime, v2) = v6 & bool(v6) & ~
% 275.44/45.61 | hBOOL(v6)))) & ! [v2: int] : ! [v3: bool] : ( ~
% 275.44/45.61 | (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | ~ hBOOL(v3) | ?
% 275.44/45.61 | [v4: bool] : ? [v5: int] : ? [v6: bool] : ? [v7: fun_int_bool]
% 275.44/45.61 | : ? [v8: bool] : (int(v5) & (( ~ (v5 = v2) & ~ (v5 =
% 275.44/45.61 | one_one_int) & hAPP_i1948725293t_bool(dvd_dvd_int, v5) =
% 275.44/45.61 | v7 & hAPP_int_bool(v7, v2) = v8 & hAPP_int_bool(v1, v5) =
% 275.44/45.61 | v6 & fun_int_bool(v7) & bool(v8) & bool(v6) & hBOOL(v8) &
% 275.44/45.61 | hBOOL(v6)) | (hAPP_int_bool(zprime, v2) = v4 & bool(v4) &
% 275.44/45.61 | hBOOL(v4))))) & ! [v2: int] : ! [v3: bool] : ( ~
% 275.44/45.61 | (hAPP_int_bool(v0, v2) = v3) | ~ int(v2) | hBOOL(v3) | ? [v4:
% 275.44/45.61 | bool] : (hAPP_int_bool(zprime, v2) = v4 & bool(v4) & ~
% 275.44/45.61 | hBOOL(v4))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1143_zcong__square) implies:
% 275.44/45.61 | (251) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.44/45.61 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.44/45.61 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ( ~
% 275.44/45.61 | (zcong(v1, v3) = v4) | ~ (minus_minus_int(v2, one_one_int) = v3)
% 275.44/45.61 | | ~ (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) |
% 275.44/45.61 | hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ? [v8: int] : ?
% 275.44/45.61 | [v9: fun_int_bool] : ? [v10: bool] : ? [v11: fun_int_bool] : ?
% 275.44/45.61 | [v12: bool] : ((zcong(v8, one_one_int) = v9 & times_times_int(v1,
% 275.44/45.61 | v1) = v8 & hAPP_int_bool(v9, v2) = v10 & fun_int_bool(v9) &
% 275.44/45.61 | int(v8) & bool(v10) & ~ hBOOL(v10)) | (zcong(v1,
% 275.44/45.61 | one_one_int) = v11 & hAPP_int_bool(v11, v2) = v12 &
% 275.44/45.61 | fun_int_bool(v11) & bool(v12) & hBOOL(v12)) |
% 275.44/45.61 | (hAPP_int_bool(v0, v1) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.44/45.61 | (hAPP_int_bool(zprime, v2) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1145_prime__g__5) implies:
% 275.44/45.61 | (252) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.44/45.61 | int] : ? [v5: int] : ? [v6: int] : ? [v7: fun_int_bool] :
% 275.44/45.61 | (number_number_of_int(v5) = v6 & number_number_of_int(v3) = v4 &
% 275.44/45.61 | number_number_of_int(v1) = v2 & bit1(v1) = v5 & bit1(v0) = v3 &
% 275.44/45.61 | bit1(pls) = v0 & bit0(v0) = v1 &
% 275.44/45.61 | hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7 & fun_int_bool(v7)
% 275.44/45.61 | & int(v6) & int(v5) & int(v4) & int(v3) & int(v2) & int(v1) &
% 275.44/45.61 | int(v0) & ! [v8: int] : ! [v9: bool] : (v8 = v4 | v8 = v2 | ~
% 275.44/45.61 | (hAPP_int_bool(v7, v8) = v9) | ~ int(v8) | hBOOL(v9) | ? [v10:
% 275.44/45.61 | bool] : (hAPP_int_bool(zprime, v8) = v10 & bool(v10) & ~
% 275.44/45.61 | hBOOL(v10))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1147_imp__le__cong) implies:
% 275.44/45.61 | (253) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.44/45.61 | zero_zero_int) = v0 & fun_int_bool(v0))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1149_number__of2) implies:
% 275.44/45.61 | (254) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: bool] :
% 275.44/45.61 | (number_number_of_int(pls) = v1 &
% 275.44/45.61 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v0 &
% 275.44/45.61 | hAPP_int_bool(v0, v1) = v2 & fun_int_bool(v0) & int(v1) & bool(v2)
% 275.44/45.61 | & hBOOL(v2))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1152_number__of1) implies:
% 275.44/45.61 | (255) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.44/45.61 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.44/45.61 | int] : ( ~ (number_number_of_int(v1) = v2) | ~ int(v1) | ? [v3:
% 275.44/45.61 | bool] : ? [v4: int] : ? [v5: int] : ? [v6: bool] : ? [v7:
% 275.44/45.61 | int] : ? [v8: int] : ? [v9: bool] :
% 275.44/45.61 | ((number_number_of_int(v7) = v8 & number_number_of_int(v4) = v5 &
% 275.44/45.61 | bit1(v1) = v7 & bit0(v1) = v4 & hAPP_int_bool(v0, v8) = v9 &
% 275.44/45.61 | hAPP_int_bool(v0, v5) = v6 & int(v8) & int(v7) & int(v5) &
% 275.44/45.61 | int(v4) & bool(v9) & bool(v6) & hBOOL(v9) & hBOOL(v6)) |
% 275.44/45.61 | (hAPP_int_bool(v0, v2) = v3 & bool(v3) & ~ hBOOL(v3)))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1153__096_B_Bthesis_O_A_I_B_Bs_Aw_O_Aw_A_061_Ay_A_N_As_A_K_A_I1_A_L_Aint_An)
% 275.44/45.61 | implies:
% 275.44/45.61 | (256) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.44/45.61 | int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] :
% 275.44/45.61 | ? [v9: int] : ? [v10: fun_int_bool] : ? [v11: bool] :
% 275.44/45.61 | (abs_abs_int(v6) = v8 & minus_minus_int(y, v7) = v6 &
% 275.44/45.61 | times_times_int(v5, v1) = v7 & times_times_int(v4, v8) = v9 &
% 275.44/45.61 | number_number_of_int(v3) = v4 & bit1(pls) = v2 & bit0(v2) = v3 &
% 275.44/45.61 | hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 &
% 275.44/45.61 | hAPP_nat_int(semiri1621563631at_int, n) = v0 &
% 275.44/45.61 | plus_plus_int(one_one_int, v0) = v1 & hAPP_int_bool(v10, v1) = v11
% 275.44/45.61 | & fun_int_bool(v10) & int(v9) & int(v8) & int(v7) & int(v6) &
% 275.44/45.61 | int(v5) & int(v4) & int(v3) & int(v2) & int(v1) & int(v0) &
% 275.44/45.61 | bool(v11) & hBOOL(v11))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1154__096_B_Bthesis_O_A_I_B_Br_Av_O_Av_A_061_Ax_A_N_Ar_A_K_A_I1_A_L_Aint_An)
% 275.44/45.61 | implies:
% 275.44/45.61 | (257) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4:
% 275.44/45.61 | int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] :
% 275.44/45.61 | ? [v9: int] : ? [v10: fun_int_bool] : ? [v11: bool] :
% 275.44/45.61 | (abs_abs_int(v6) = v8 & minus_minus_int(x, v7) = v6 &
% 275.44/45.61 | times_times_int(v5, v1) = v7 & times_times_int(v4, v8) = v9 &
% 275.44/45.61 | number_number_of_int(v3) = v4 & bit1(pls) = v2 & bit0(v2) = v3 &
% 275.44/45.61 | hAPP_i1948725293t_bool(ord_less_eq_int, v9) = v10 &
% 275.44/45.61 | hAPP_nat_int(semiri1621563631at_int, n) = v0 &
% 275.44/45.61 | plus_plus_int(one_one_int, v0) = v1 & hAPP_int_bool(v10, v1) = v11
% 275.44/45.61 | & fun_int_bool(v10) & int(v9) & int(v8) & int(v7) & int(v6) &
% 275.44/45.61 | int(v5) & int(v4) & int(v3) & int(v2) & int(v1) & int(v0) &
% 275.44/45.61 | bool(v11) & hBOOL(v11))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1159_abs__int__eq) implies:
% 275.44/45.61 | (258) ! [v0: nat] : ! [v1: int] : ( ~
% 275.44/45.61 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~ nat(v0) |
% 275.44/45.61 | (abs_abs_int(v1) = v1 & int(v1)))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1161_zero__le__zpower__abs) implies:
% 275.44/45.61 | (259) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.44/45.61 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.44/45.61 | nat] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : ( ~
% 275.44/45.61 | (abs_abs_int(v1) = v3) | ~ (power_power_int(v3) = v4) | ~
% 275.44/45.61 | (hAPP_nat_int(v4, v2) = v5) | ~ nat(v2) | ~ int(v1) | ? [v6:
% 275.44/45.61 | bool] : (hAPP_int_bool(v0, v5) = v6 & bool(v6) & hBOOL(v6))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1163_abs__eq__1__iff) implies:
% 275.44/45.61 | (260) int(min)
% 275.44/45.61 | (261) ? [v0: int] : (number_number_of_int(min) = v0 & int(v0) & ! [v1:
% 275.44/45.61 | int] : (v1 = v0 | v1 = one_one_int | ~ (abs_abs_int(v1) =
% 275.44/45.61 | one_one_int) | ~ int(v1)) & ! [v1: int] : (v1 = one_one_int |
% 275.44/45.61 | ~ (abs_abs_int(v0) = v1)) & ! [v1: int] : (v1 = one_one_int |
% 275.44/45.61 | ~ (abs_abs_int(one_one_int) = v1)))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1164_abs__power3__distrib) implies:
% 275.44/45.61 | (262) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(v0) = v1 &
% 275.44/45.61 | bit1(pls) = v0 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1)
% 275.44/45.61 | & int(v0) & ! [v3: int] : ! [v4: int] : ( ~ (abs_abs_int(v3) =
% 275.44/45.61 | v4) | ~ int(v3) | ? [v5: fun_nat_int] : ? [v6: int] : ?
% 275.44/45.61 | [v7: int] : ? [v8: fun_nat_int] : (abs_abs_int(v6) = v7 &
% 275.44/45.61 | power_power_int(v4) = v8 & power_power_int(v3) = v5 &
% 275.44/45.61 | hAPP_nat_int(v8, v2) = v7 & hAPP_nat_int(v5, v2) = v6 &
% 275.44/45.61 | fun_nat_int(v8) & fun_nat_int(v5) & int(v7) & int(v6))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1165_zero__less__zpower__abs__iff) implies:
% 275.44/45.61 | (263) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.44/45.61 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.44/45.61 | nat] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : (v1 =
% 275.44/45.61 | zero_zero_int | ~ (abs_abs_int(v1) = v3) | ~
% 275.44/45.61 | (power_power_int(v3) = v4) | ~ (hAPP_nat_int(v4, v2) = v5) | ~
% 275.44/45.61 | nat(v2) | ~ int(v1) | ? [v6: bool] : (hAPP_int_bool(v0, v5) =
% 275.44/45.61 | v6 & bool(v6) & hBOOL(v6))) & ! [v1: nat] : ! [v2: int] : !
% 275.44/45.61 | [v3: fun_nat_int] : ! [v4: int] : (v1 = zero_zero_nat | ~
% 275.44/45.61 | (abs_abs_int(zero_zero_int) = v2) | ~ (power_power_int(v2) = v3)
% 275.44/45.61 | | ~ (hAPP_nat_int(v3, v1) = v4) | ~ nat(v1) | ? [v5: bool] :
% 275.44/45.61 | (hAPP_int_bool(v0, v4) = v5 & bool(v5) & ~ hBOOL(v5))) & ! [v1:
% 275.44/45.61 | int] : ! [v2: int] : ! [v3: fun_nat_int] : ! [v4: int] : ( ~
% 275.44/45.61 | (abs_abs_int(v1) = v2) | ~ (power_power_int(v2) = v3) | ~
% 275.44/45.61 | (hAPP_nat_int(v3, zero_zero_nat) = v4) | ~ int(v1) | ? [v5:
% 275.44/45.61 | bool] : (hAPP_int_bool(v0, v4) = v5 & bool(v5) & hBOOL(v5))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1169_abs__power2__distrib) implies:
% 275.44/45.61 | (264) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 275.44/45.61 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 275.44/45.61 | int(v0) & ! [v3: int] : ! [v4: int] : ( ~ (abs_abs_int(v3) = v4)
% 275.44/45.61 | | ~ int(v3) | ? [v5: fun_nat_int] : ? [v6: int] : ? [v7: int]
% 275.44/45.61 | : ? [v8: fun_nat_int] : (abs_abs_int(v6) = v7 &
% 275.44/45.61 | power_power_int(v4) = v8 & power_power_int(v3) = v5 &
% 275.44/45.61 | hAPP_nat_int(v8, v2) = v7 & hAPP_nat_int(v5, v2) = v6 &
% 275.44/45.61 | fun_nat_int(v8) & fun_nat_int(v5) & int(v7) & int(v6))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1170_power2__eq__iff__abs__eq) implies:
% 275.44/45.61 | (265) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 275.44/45.61 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 275.44/45.61 | int(v0) & ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int]
% 275.44/45.61 | : (v6 = v5 | ~ (abs_abs_int(v4) = v6) | ~ (abs_abs_int(v3) = v5)
% 275.44/45.61 | | ~ int(v4) | ~ int(v3) | ? [v7: fun_nat_int] : ? [v8: int] :
% 275.44/45.61 | ? [v9: fun_nat_int] : ? [v10: int] : ( ~ (v10 = v8) &
% 275.44/45.61 | power_power_int(v4) = v9 & power_power_int(v3) = v7 &
% 275.44/45.61 | hAPP_nat_int(v9, v2) = v10 & hAPP_nat_int(v7, v2) = v8 &
% 275.44/45.61 | fun_nat_int(v9) & fun_nat_int(v7) & int(v10) & int(v8))) & !
% 275.44/45.61 | [v3: int] : ! [v4: int] : ! [v5: int] : ( ~ (abs_abs_int(v4) =
% 275.44/45.61 | v5) | ~ (abs_abs_int(v3) = v5) | ~ int(v4) | ~ int(v3) | ?
% 275.44/45.61 | [v6: fun_nat_int] : ? [v7: int] : ? [v8: fun_nat_int] :
% 275.44/45.61 | (power_power_int(v4) = v8 & power_power_int(v3) = v6 &
% 275.44/45.61 | hAPP_nat_int(v8, v2) = v7 & hAPP_nat_int(v6, v2) = v7 &
% 275.44/45.61 | fun_nat_int(v8) & fun_nat_int(v6) & int(v7))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1171_power2__eq1__iff) implies:
% 275.44/45.61 | (266) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 275.44/45.61 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 275.44/45.61 | int(v0) & ! [v3: int] : ! [v4: int] : (v4 = one_one_int | ~
% 275.44/45.61 | (abs_abs_int(v3) = v4) | ~ int(v3) | ? [v5: fun_nat_int] : ?
% 275.44/45.61 | [v6: int] : ( ~ (v6 = one_one_int) & power_power_int(v3) = v5 &
% 275.44/45.61 | hAPP_nat_int(v5, v2) = v6 & fun_nat_int(v5) & int(v6))))
% 275.44/45.61 |
% 275.44/45.61 | ALPHA: (fact_1172_incr__lemma) implies:
% 275.44/45.62 | (267) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.44/45.62 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.44/45.62 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : !
% 275.44/45.62 | [v6: int] : ! [v7: int] : ! [v8: int] : ! [v9: int] : ! [v10:
% 275.44/45.62 | bool] : ( ~ (abs_abs_int(v5) = v6) | ~ (minus_minus_int(v2, v1)
% 275.44/45.62 | = v5) | ~ (times_times_int(v7, v3) = v8) | ~
% 275.44/45.62 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v4) | ~
% 275.44/45.62 | (plus_plus_int(v6, one_one_int) = v7) | ~ (plus_plus_int(v2, v8)
% 275.44/45.62 | = v9) | ~ (hAPP_int_bool(v4, v9) = v10) | ~ int(v3) | ~
% 275.44/45.62 | int(v2) | ~ int(v1) | hBOOL(v10) | ? [v11: bool] :
% 275.44/45.62 | (hAPP_int_bool(v0, v3) = v11 & bool(v11) & ~ hBOOL(v11))))
% 275.44/45.62 |
% 275.44/45.62 | ALPHA: (fact_1173_decr__lemma) implies:
% 275.44/45.62 | (268) ? [v0: fun_int_bool] : (hAPP_i1948725293t_bool(ord_less_int,
% 275.44/45.62 | zero_zero_int) = v0 & fun_int_bool(v0) & ! [v1: int] : ! [v2:
% 275.44/45.62 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int]
% 275.44/45.62 | : ! [v7: int] : ! [v8: int] : ! [v9: fun_int_bool] : ! [v10:
% 275.44/45.62 | bool] : ( ~ (abs_abs_int(v4) = v5) | ~ (minus_minus_int(v1, v7)
% 275.44/45.62 | = v8) | ~ (minus_minus_int(v1, v2) = v4) | ~
% 275.44/45.62 | (times_times_int(v6, v3) = v7) | ~
% 275.44/45.62 | (hAPP_i1948725293t_bool(ord_less_int, v8) = v9) | ~
% 275.44/45.62 | (plus_plus_int(v5, one_one_int) = v6) | ~ (hAPP_int_bool(v9, v2)
% 275.44/45.62 | = v10) | ~ int(v3) | ~ int(v2) | ~ int(v1) | hBOOL(v10) | ?
% 275.44/45.62 | [v11: bool] : (hAPP_int_bool(v0, v3) = v11 & bool(v11) & ~
% 275.44/45.62 | hBOOL(v11))))
% 275.44/45.62 |
% 275.44/45.62 | ALPHA: (fact_1174_best__division__abs) implies:
% 275.44/45.62 | (269) ? [v0: fun_int_bool] : ? [v1: int] : ? [v2: int] : ? [v3: int] :
% 275.44/45.62 | (number_number_of_int(v2) = v3 & bit1(pls) = v1 & bit0(v1) = v2 &
% 275.44/45.62 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 275.44/45.62 | fun_int_bool(v0) & int(v3) & int(v2) & int(v1) & ? [v4: int] : !
% 275.44/45.62 | [v5: int] : ! [v6: bool] : ( ~ (hAPP_int_bool(v0, v5) = v6) | ~
% 275.44/45.62 | int(v5) | ~ int(v4) | ~ hBOOL(v6) | ? [v7: int] : ? [v8: int]
% 275.44/45.62 | : ? [v9: int] : ? [v10: int] : ? [v11: int] : ? [v12:
% 275.44/45.62 | fun_int_bool] : ? [v13: bool] : (abs_abs_int(v9) = v10 &
% 275.44/45.62 | minus_minus_int(v4, v8) = v9 & times_times_int(v7, v5) = v8 &
% 275.44/45.62 | times_times_int(v3, v10) = v11 &
% 275.44/45.62 | hAPP_i1948725293t_bool(ord_less_eq_int, v11) = v12 &
% 275.44/45.62 | hAPP_int_bool(v12, v5) = v13 & fun_int_bool(v12) & int(v11) &
% 275.44/45.62 | int(v10) & int(v9) & int(v8) & int(v7) & bool(v13) &
% 275.44/45.62 | hBOOL(v13))))
% 275.44/45.62 |
% 275.44/45.62 | ALPHA: (fact_1175_decr__mult__lemma) implies:
% 275.49/45.62 | (270) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 275.49/45.62 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 275.49/45.62 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 275.49/45.62 | fun_int_bool(v1) & fun_int_bool(v0) & ? [v2: fun_int_bool] : !
% 275.49/45.62 | [v3: int] : ! [v4: int] : ! [v5: bool] : ! [v6: bool] : ( ~
% 275.49/45.62 | (hAPP_int_bool(v1, v3) = v6) | ~ (hAPP_int_bool(v0, v4) = v5) |
% 275.49/45.62 | ~ fun_int_bool(v2) | ~ int(v4) | ~ int(v3) | ~ hBOOL(v6) | ~
% 275.49/45.62 | hBOOL(v5) | ? [v7: int] : ? [v8: int] : ? [v9: bool] : ?
% 275.49/45.62 | [v10: int] : ? [v11: bool] : (int(v8) & ((minus_minus_int(v8,
% 275.49/45.62 | v4) = v10 & hAPP_int_bool(v2, v10) = v11 &
% 275.49/45.62 | hAPP_int_bool(v2, v8) = v9 & int(v10) & bool(v11) &
% 275.49/45.62 | bool(v9) & hBOOL(v9) & ~ hBOOL(v11)) |
% 275.49/45.62 | (times_times_int(v3, v4) = v7 & int(v7) & ! [v12: int] : !
% 275.49/45.62 | [v13: int] : ! [v14: bool] : ( ~ (minus_minus_int(v12, v7)
% 275.49/45.62 | = v13) | ~ (hAPP_int_bool(v2, v13) = v14) | ~
% 275.49/45.62 | int(v12) | hBOOL(v14) | ? [v15: bool] :
% 275.49/45.62 | (hAPP_int_bool(v2, v12) = v15 & bool(v15) & ~
% 275.49/45.62 | hBOOL(v15))))))))
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (fact_1178_less__one__imp__sqr__less__one) implies:
% 275.49/45.62 | (271) ? [v0: int] : ? [v1: int] : ? [v2: nat] : (bit1(pls) = v0 &
% 275.49/45.62 | bit0(v0) = v1 & number_number_of_nat(v1) = v2 & nat(v2) & int(v1) &
% 275.49/45.62 | int(v0) & ! [v3: real] : ! [v4: real] : ( ~ (abs_abs_real(v3) =
% 275.49/45.62 | v4) | ~ real(v3) | ? [v5: fun_real_bool] : ? [v6: bool] : ?
% 275.49/45.62 | [v7: fun_nat_real] : ? [v8: real] : ? [v9: fun_real_bool] : ?
% 275.49/45.62 | [v10: bool] : ((hAPP_r1134773055l_bool(ord_less_real, v8) = v9 &
% 275.49/45.62 | hAPP_real_bool(v9, one_one_real) = v10 & power_power_real(v3)
% 275.49/45.62 | = v7 & hAPP_nat_real(v7, v2) = v8 & fun_real_bool(v9) &
% 275.49/45.62 | fun_nat_real(v7) & real(v8) & bool(v10) & hBOOL(v10)) |
% 275.49/45.62 | (hAPP_r1134773055l_bool(ord_less_real, v4) = v5 &
% 275.49/45.62 | hAPP_real_bool(v5, one_one_real) = v6 & fun_real_bool(v5) &
% 275.49/45.62 | bool(v6) & ~ hBOOL(v6)))))
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (fact_1180_incr__mult__lemma) implies:
% 275.49/45.62 | (272) ? [v0: fun_int_bool] : ? [v1: fun_int_bool] :
% 275.49/45.62 | (hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = v1 &
% 275.49/45.62 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = v0 &
% 275.49/45.62 | fun_int_bool(v1) & fun_int_bool(v0) & ? [v2: fun_int_bool] : !
% 275.49/45.62 | [v3: int] : ! [v4: int] : ! [v5: bool] : ! [v6: bool] : ( ~
% 275.49/45.62 | (hAPP_int_bool(v1, v3) = v6) | ~ (hAPP_int_bool(v0, v4) = v5) |
% 275.49/45.62 | ~ fun_int_bool(v2) | ~ int(v4) | ~ int(v3) | ~ hBOOL(v6) | ~
% 275.49/45.62 | hBOOL(v5) | ? [v7: int] : ? [v8: int] : ? [v9: bool] : ?
% 275.49/45.62 | [v10: int] : ? [v11: bool] : (int(v8) & ((times_times_int(v3,
% 275.49/45.62 | v4) = v7 & int(v7) & ! [v12: int] : ! [v13: int] : !
% 275.49/45.62 | [v14: bool] : ( ~ (plus_plus_int(v12, v7) = v13) | ~
% 275.49/45.62 | (hAPP_int_bool(v2, v13) = v14) | ~ int(v12) | hBOOL(v14)
% 275.49/45.62 | | ? [v15: bool] : (hAPP_int_bool(v2, v12) = v15 &
% 275.49/45.62 | bool(v15) & ~ hBOOL(v15)))) | (plus_plus_int(v8, v4) =
% 275.49/45.62 | v10 & hAPP_int_bool(v2, v10) = v11 & hAPP_int_bool(v2, v8)
% 275.49/45.62 | = v9 & int(v10) & bool(v11) & bool(v9) & hBOOL(v9) & ~
% 275.49/45.62 | hBOOL(v11))))))
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (fact_1197_int__val__lemma) implies:
% 275.49/45.62 | (273) nat(one_one_nat)
% 275.49/45.62 | (274) nat(zero_zero_nat)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (conj_0) implies:
% 275.49/45.62 | (275) int(one_one_int)
% 275.49/45.62 | (276) ? [v0: int] : ? [v1: int] : ? [v2: fun_nat_int] : ? [v3: int] :
% 275.49/45.62 | ? [v4: int] : ? [v5: nat] : (bit1(pls) = v3 & bit0(v3) = v4 &
% 275.49/45.62 | number_number_of_nat(v4) = v5 & power_power_int(v1) = v2 &
% 275.49/45.62 | hAPP_nat_int(v2, v5) = zero_zero_int &
% 275.49/45.62 | hAPP_nat_int(semiri1621563631at_int, n) = v0 &
% 275.49/45.62 | plus_plus_int(one_one_int, v0) = v1 & fun_nat_int(v2) & nat(v5) &
% 275.49/45.62 | int(v4) & int(v3) & int(v1) & int(v0))
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (function-axioms) implies:
% 275.49/45.62 | (277) ! [v0: nat] : ! [v1: nat] : ! [v2: int] : (v1 = v0 | ~
% 275.49/45.62 | (number_number_of_nat(v2) = v1) | ~ (number_number_of_nat(v2) =
% 275.49/45.62 | v0))
% 275.49/45.62 | (278) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (bit0(v2)
% 275.49/45.62 | = v1) | ~ (bit0(v2) = v0))
% 275.49/45.62 | (279) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (bit1(v2)
% 275.49/45.62 | = v1) | ~ (bit1(v2) = v0))
% 275.49/45.62 | (280) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~
% 275.49/45.62 | (number_number_of_int(v2) = v1) | ~ (number_number_of_int(v2) =
% 275.49/45.62 | v0))
% 275.49/45.62 | (281) ! [v0: bool] : ! [v1: bool] : ! [v2: int] : ! [v3: fun_int_bool]
% 275.49/45.62 | : (v1 = v0 | ~ (hAPP_int_bool(v3, v2) = v1) | ~ (hAPP_int_bool(v3,
% 275.49/45.62 | v2) = v0))
% 275.49/45.62 | (282) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0
% 275.49/45.62 | | ~ (plus_plus_int(v3, v2) = v1) | ~ (plus_plus_int(v3, v2) =
% 275.49/45.62 | v0))
% 275.49/45.62 | (283) ! [v0: int] : ! [v1: int] : ! [v2: nat] : ! [v3: fun_nat_int] :
% 275.49/45.62 | (v1 = v0 | ~ (hAPP_nat_int(v3, v2) = v1) | ~ (hAPP_nat_int(v3, v2)
% 275.49/45.62 | = v0))
% 275.49/45.62 | (284) ! [v0: fun_int_bool] : ! [v1: fun_int_bool] : ! [v2: int] : !
% 275.49/45.62 | [v3: fun_int_fun_int_bool] : (v1 = v0 | ~
% 275.49/45.62 | (hAPP_i1948725293t_bool(v3, v2) = v1) | ~
% 275.49/45.62 | (hAPP_i1948725293t_bool(v3, v2) = v0))
% 275.49/45.62 | (285) ! [v0: nat] : ! [v1: nat] : ! [v2: nat] : ! [v3: nat] : (v1 = v0
% 275.49/45.62 | | ~ (plus_plus_nat(v3, v2) = v1) | ~ (plus_plus_nat(v3, v2) =
% 275.49/45.62 | v0))
% 275.49/45.62 | (286) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0
% 275.49/45.62 | | ~ (times_times_int(v3, v2) = v1) | ~ (times_times_int(v3, v2) =
% 275.49/45.62 | v0))
% 275.49/45.62 | (287) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0
% 275.49/45.62 | | ~ (minus_minus_int(v3, v2) = v1) | ~ (minus_minus_int(v3, v2) =
% 275.49/45.62 | v0))
% 275.49/45.62 | (288) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v1 = v0
% 275.49/45.62 | | ~ (legendre(v3, v2) = v1) | ~ (legendre(v3, v2) = v0))
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (253) with fresh symbol all_744_0 gives:
% 275.49/45.62 | (289) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_744_0 &
% 275.49/45.62 | fun_int_bool(all_744_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (289) implies:
% 275.49/45.62 | (290) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_744_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (253) with fresh symbol all_746_0 gives:
% 275.49/45.62 | (291) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_746_0 &
% 275.49/45.62 | fun_int_bool(all_746_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (291) implies:
% 275.49/45.62 | (292) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_746_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (154) with fresh symbol all_748_0 gives:
% 275.49/45.62 | (293) succ(pls) = all_748_0 & bit1(pls) = all_748_0 & int(all_748_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (293) implies:
% 275.49/45.62 | (294) bit1(pls) = all_748_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (46) with fresh symbol all_752_0 gives:
% 275.49/45.62 | (295) number267125858f_real(all_752_0) = one_one_real & bit1(pls) =
% 275.49/45.62 | all_752_0 & int(all_752_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (295) implies:
% 275.49/45.62 | (296) bit1(pls) = all_752_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (45) with fresh symbol all_754_0 gives:
% 275.49/45.62 | (297) bit1(pls) = all_754_0 & number_number_of_nat(all_754_0) = one_one_nat
% 275.49/45.62 | & int(all_754_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (297) implies:
% 275.49/45.62 | (298) bit1(pls) = all_754_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (44) with fresh symbol all_756_0 gives:
% 275.49/45.62 | (299) number_number_of_int(all_756_0) = one_one_int & bit1(pls) = all_756_0
% 275.49/45.62 | & int(all_756_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (299) implies:
% 275.49/45.62 | (300) bit1(pls) = all_756_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (44) with fresh symbol all_758_0 gives:
% 275.49/45.62 | (301) number_number_of_int(all_758_0) = one_one_int & bit1(pls) = all_758_0
% 275.49/45.62 | & int(all_758_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (301) implies:
% 275.49/45.62 | (302) bit1(pls) = all_758_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (44) with fresh symbol all_760_0 gives:
% 275.49/45.62 | (303) number_number_of_int(all_760_0) = one_one_int & bit1(pls) = all_760_0
% 275.49/45.62 | & int(all_760_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (303) implies:
% 275.49/45.62 | (304) bit1(pls) = all_760_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (46) with fresh symbol all_762_0 gives:
% 275.49/45.62 | (305) number267125858f_real(all_762_0) = one_one_real & bit1(pls) =
% 275.49/45.62 | all_762_0 & int(all_762_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (305) implies:
% 275.49/45.62 | (306) bit1(pls) = all_762_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (45) with fresh symbol all_766_0 gives:
% 275.49/45.62 | (307) bit1(pls) = all_766_0 & number_number_of_nat(all_766_0) = one_one_nat
% 275.49/45.62 | & int(all_766_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (307) implies:
% 275.49/45.62 | (308) bit1(pls) = all_766_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (45) with fresh symbol all_768_0 gives:
% 275.49/45.62 | (309) bit1(pls) = all_768_0 & number_number_of_nat(all_768_0) = one_one_nat
% 275.49/45.62 | & int(all_768_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (309) implies:
% 275.49/45.62 | (310) bit1(pls) = all_768_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (44) with fresh symbol all_770_0 gives:
% 275.49/45.62 | (311) number_number_of_int(all_770_0) = one_one_int & bit1(pls) = all_770_0
% 275.49/45.62 | & int(all_770_0)
% 275.49/45.62 |
% 275.49/45.62 | ALPHA: (311) implies:
% 275.49/45.62 | (312) bit1(pls) = all_770_0
% 275.49/45.62 |
% 275.49/45.62 | DELTA: instantiating (214) with fresh symbols all_774_0, all_774_1 gives:
% 275.49/45.62 | (313) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_774_1 &
% 275.49/45.62 | hAPP_int_bool(all_774_1, min) = all_774_0 & fun_int_bool(all_774_1) &
% 275.49/45.62 | bool(all_774_0) & ~ hBOOL(all_774_0)
% 275.49/45.62 |
% 275.49/45.63 | ALPHA: (313) implies:
% 275.49/45.63 | (314) ~ hBOOL(all_774_0)
% 275.49/45.63 | (315) hAPP_int_bool(all_774_1, min) = all_774_0
% 275.49/45.63 | (316) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_774_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (32) with fresh symbol all_779_0 gives:
% 275.49/45.63 | (317) number_number_of_int(pls) = all_779_0 & int(all_779_0) & ! [v0: int]
% 275.49/45.63 | : ! [v1: int] : (v1 = v0 | ~ (plus_plus_int(all_779_0, v0) = v1) |
% 275.49/45.63 | ~ int(v0))
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (317) implies:
% 275.49/45.63 | (318) number_number_of_int(pls) = all_779_0
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (215) with fresh symbols all_787_0, all_787_1 gives:
% 275.49/45.63 | (319) ~ (all_787_0 = all_787_1) & number_number_of_int(pls) = all_787_1 &
% 275.49/45.63 | number_number_of_int(min) = all_787_0 & int(all_787_0) &
% 275.49/45.63 | int(all_787_1)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (319) implies:
% 275.49/45.63 | (320) number_number_of_int(min) = all_787_0
% 275.49/45.63 | (321) number_number_of_int(pls) = all_787_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (117) with fresh symbols all_789_0, all_789_1 gives:
% 275.49/45.63 | (322) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_789_1 &
% 275.49/45.63 | hAPP_int_bool(all_789_1, zero_zero_int) = all_789_0 &
% 275.49/45.63 | fun_int_bool(all_789_1) & bool(all_789_0) & hBOOL(all_789_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (322) implies:
% 275.49/45.63 | (323) hAPP_int_bool(all_789_1, zero_zero_int) = all_789_0
% 275.49/45.63 | (324) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_789_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (213) with fresh symbols all_791_0, all_791_1 gives:
% 275.49/45.63 | (325) hAPP_i1948725293t_bool(ord_less_int, min) = all_791_1 &
% 275.49/45.63 | hAPP_int_bool(all_791_1, zero_zero_int) = all_791_0 &
% 275.49/45.63 | fun_int_bool(all_791_1) & bool(all_791_0) & hBOOL(all_791_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (325) implies:
% 275.49/45.63 | (326) hAPP_int_bool(all_791_1, zero_zero_int) = all_791_0
% 275.49/45.63 | (327) hAPP_i1948725293t_bool(ord_less_int, min) = all_791_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (25) with fresh symbols all_793_0, all_793_1 gives:
% 275.49/45.63 | (328) hAPP_i1948725293t_bool(ord_less_int, pls) = all_793_1 &
% 275.49/45.63 | hAPP_int_bool(all_793_1, zero_zero_int) = all_793_0 &
% 275.49/45.63 | fun_int_bool(all_793_1) & bool(all_793_0) & ~ hBOOL(all_793_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (328) implies:
% 275.49/45.63 | (329) hAPP_int_bool(all_793_1, zero_zero_int) = all_793_0
% 275.49/45.63 | (330) hAPP_i1948725293t_bool(ord_less_int, pls) = all_793_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (64) with fresh symbols all_795_0, all_795_1 gives:
% 275.49/45.63 | (331) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_795_1 &
% 275.49/45.63 | hAPP_int_bool(all_795_1, one_one_int) = all_795_0 &
% 275.49/45.63 | fun_int_bool(all_795_1) & bool(all_795_0) & hBOOL(all_795_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (331) implies:
% 275.49/45.63 | (332) hAPP_int_bool(all_795_1, one_one_int) = all_795_0
% 275.49/45.63 | (333) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_795_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (2) with fresh symbols all_799_0, all_799_1 gives:
% 275.49/45.63 | (334) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_799_1 &
% 275.49/45.63 | hAPP_int_bool(all_799_1, t) = all_799_0 & fun_int_bool(all_799_1) &
% 275.49/45.63 | bool(all_799_0) & hBOOL(all_799_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (334) implies:
% 275.49/45.63 | (335) hBOOL(all_799_0)
% 275.49/45.63 | (336) hAPP_int_bool(all_799_1, t) = all_799_0
% 275.49/45.63 | (337) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_799_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (216) with fresh symbols all_804_0, all_804_1 gives:
% 275.49/45.63 | (338) hAPP_i1948725293t_bool(ord_less_int, min) = all_804_1 &
% 275.49/45.63 | hAPP_int_bool(all_804_1, min) = all_804_0 & fun_int_bool(all_804_1) &
% 275.49/45.63 | bool(all_804_0) & ~ hBOOL(all_804_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (338) implies:
% 275.49/45.63 | (339) ~ hBOOL(all_804_0)
% 275.49/45.63 | (340) hAPP_int_bool(all_804_1, min) = all_804_0
% 275.49/45.63 | (341) hAPP_i1948725293t_bool(ord_less_int, min) = all_804_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (211) with fresh symbols all_806_0, all_806_1 gives:
% 275.49/45.63 | (342) hAPP_i1948725293t_bool(ord_less_int, pls) = all_806_1 &
% 275.49/45.63 | hAPP_int_bool(all_806_1, min) = all_806_0 & fun_int_bool(all_806_1) &
% 275.49/45.63 | bool(all_806_0) & ~ hBOOL(all_806_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (342) implies:
% 275.49/45.63 | (343) ~ hBOOL(all_806_0)
% 275.49/45.63 | (344) hAPP_int_bool(all_806_1, min) = all_806_0
% 275.49/45.63 | (345) hAPP_i1948725293t_bool(ord_less_int, pls) = all_806_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (210) with fresh symbols all_808_0, all_808_1 gives:
% 275.49/45.63 | (346) hAPP_i1948725293t_bool(ord_less_int, min) = all_808_1 &
% 275.49/45.63 | hAPP_int_bool(all_808_1, pls) = all_808_0 & fun_int_bool(all_808_1) &
% 275.49/45.63 | bool(all_808_0) & hBOOL(all_808_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (346) implies:
% 275.49/45.63 | (347) hBOOL(all_808_0)
% 275.49/45.63 | (348) hAPP_int_bool(all_808_1, pls) = all_808_0
% 275.49/45.63 | (349) hAPP_i1948725293t_bool(ord_less_int, min) = all_808_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (143) with fresh symbols all_810_0, all_810_1 gives:
% 275.49/45.63 | (350) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_810_1 &
% 275.49/45.63 | hAPP_int_bool(all_810_1, one_one_int) = all_810_0 &
% 275.49/45.63 | fun_int_bool(all_810_1) & bool(all_810_0) & hBOOL(all_810_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (350) implies:
% 275.49/45.63 | (351) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_810_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (116) with fresh symbols all_815_0, all_815_1 gives:
% 275.49/45.63 | (352) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_815_1 &
% 275.49/45.63 | hAPP_int_bool(all_815_1, pls) = all_815_0 & fun_int_bool(all_815_1) &
% 275.49/45.63 | bool(all_815_0) & hBOOL(all_815_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (352) implies:
% 275.49/45.63 | (353) hBOOL(all_815_0)
% 275.49/45.63 | (354) hAPP_int_bool(all_815_1, pls) = all_815_0
% 275.49/45.63 | (355) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_815_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (33) with fresh symbol all_817_0 gives:
% 275.49/45.63 | (356) number_number_of_int(pls) = all_817_0 & int(all_817_0) & ! [v0: int]
% 275.49/45.63 | : ! [v1: int] : (v1 = v0 | ~ (plus_plus_int(v0, all_817_0) = v1) |
% 275.49/45.63 | ~ int(v0))
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (356) implies:
% 275.49/45.63 | (357) number_number_of_int(pls) = all_817_0
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (63) with fresh symbols all_824_0, all_824_1 gives:
% 275.49/45.63 | (358) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_824_1 &
% 275.49/45.63 | hAPP_int_bool(all_824_1, zero_zero_int) = all_824_0 &
% 275.49/45.63 | fun_int_bool(all_824_1) & bool(all_824_0) & ~ hBOOL(all_824_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (358) implies:
% 275.49/45.63 | (359) ~ hBOOL(all_824_0)
% 275.49/45.63 | (360) hAPP_int_bool(all_824_1, zero_zero_int) = all_824_0
% 275.49/45.63 | (361) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_824_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (21) with fresh symbols all_834_0, all_834_1 gives:
% 275.49/45.63 | (362) hAPP_i1948725293t_bool(ord_less_int, pls) = all_834_1 &
% 275.49/45.63 | hAPP_int_bool(all_834_1, pls) = all_834_0 & fun_int_bool(all_834_1) &
% 275.49/45.63 | bool(all_834_0) & ~ hBOOL(all_834_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (362) implies:
% 275.49/45.63 | (363) ~ hBOOL(all_834_0)
% 275.49/45.63 | (364) hAPP_int_bool(all_834_1, pls) = all_834_0
% 275.49/45.63 | (365) hAPP_i1948725293t_bool(ord_less_int, pls) = all_834_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (64) with fresh symbols all_840_0, all_840_1 gives:
% 275.49/45.63 | (366) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_840_1 &
% 275.49/45.63 | hAPP_int_bool(all_840_1, one_one_int) = all_840_0 &
% 275.49/45.63 | fun_int_bool(all_840_1) & bool(all_840_0) & hBOOL(all_840_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (366) implies:
% 275.49/45.63 | (367) hBOOL(all_840_0)
% 275.49/45.63 | (368) hAPP_int_bool(all_840_1, one_one_int) = all_840_0
% 275.49/45.63 | (369) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_840_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (56) with fresh symbols all_852_0, all_852_1, all_852_2
% 275.49/45.63 | gives:
% 275.49/45.63 | (370) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_852_2 &
% 275.49/45.63 | plus_plus_int(one_one_int, one_one_int) = all_852_1 &
% 275.49/45.63 | hAPP_int_bool(all_852_2, all_852_1) = all_852_0 &
% 275.49/45.63 | fun_int_bool(all_852_2) & int(all_852_1) & bool(all_852_0) &
% 275.49/45.63 | hBOOL(all_852_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (370) implies:
% 275.49/45.63 | (371) hBOOL(all_852_0)
% 275.49/45.63 | (372) hAPP_int_bool(all_852_2, all_852_1) = all_852_0
% 275.49/45.63 | (373) plus_plus_int(one_one_int, one_one_int) = all_852_1
% 275.49/45.63 | (374) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_852_2
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (220) with fresh symbol all_856_0 gives:
% 275.49/45.63 | (375) number_number_of_int(min) = all_856_0 & int(all_856_0) & ! [v0: any]
% 275.49/45.63 | : ! [v1: int] : (v0 = all_856_0 | v0 = one_one_int | ~
% 275.49/45.63 | (times_times_int(v0, v1) = one_one_int) | ~ int(v1) | ~ int(v0))
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (375) implies:
% 275.49/45.63 | (376) number_number_of_int(min) = all_856_0
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (57) with fresh symbols all_859_0, all_859_1, all_859_2
% 275.49/45.63 | gives:
% 275.49/45.63 | (377) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_859_2 &
% 275.49/45.63 | hAPP_nat_bool(all_859_2, all_859_1) = all_859_0 &
% 275.49/45.63 | plus_plus_nat(one_one_nat, one_one_nat) = all_859_1 &
% 275.49/45.63 | fun_nat_bool(all_859_2) & nat(all_859_1) & bool(all_859_0) &
% 275.49/45.63 | hBOOL(all_859_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (377) implies:
% 275.49/45.63 | (378) plus_plus_nat(one_one_nat, one_one_nat) = all_859_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (16) with fresh symbols all_861_0, all_861_1, all_861_2
% 275.49/45.63 | gives:
% 275.49/45.63 | (379) number_number_of_int(all_861_0) = all_861_2 & bit1(pls) = all_861_1 &
% 275.49/45.63 | bit0(all_861_1) = all_861_0 & plus_plus_int(one_one_int, one_one_int)
% 275.49/45.63 | = all_861_2 & int(all_861_0) & int(all_861_1) & int(all_861_2)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (379) implies:
% 275.49/45.63 | (380) plus_plus_int(one_one_int, one_one_int) = all_861_2
% 275.49/45.63 | (381) bit0(all_861_1) = all_861_0
% 275.49/45.63 | (382) bit1(pls) = all_861_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (254) with fresh symbols all_863_0, all_863_1, all_863_2
% 275.49/45.63 | gives:
% 275.49/45.63 | (383) number_number_of_int(pls) = all_863_1 &
% 275.49/45.63 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_863_2 &
% 275.49/45.63 | hAPP_int_bool(all_863_2, all_863_1) = all_863_0 &
% 275.49/45.63 | fun_int_bool(all_863_2) & int(all_863_1) & bool(all_863_0) &
% 275.49/45.63 | hBOOL(all_863_0)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (383) implies:
% 275.49/45.63 | (384) hAPP_int_bool(all_863_2, all_863_1) = all_863_0
% 275.49/45.63 | (385) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_863_2
% 275.49/45.63 | (386) number_number_of_int(pls) = all_863_1
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (16) with fresh symbols all_865_0, all_865_1, all_865_2
% 275.49/45.63 | gives:
% 275.49/45.63 | (387) number_number_of_int(all_865_0) = all_865_2 & bit1(pls) = all_865_1 &
% 275.49/45.63 | bit0(all_865_1) = all_865_0 & plus_plus_int(one_one_int, one_one_int)
% 275.49/45.63 | = all_865_2 & int(all_865_0) & int(all_865_1) & int(all_865_2)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (387) implies:
% 275.49/45.63 | (388) int(all_865_0)
% 275.49/45.63 | (389) plus_plus_int(one_one_int, one_one_int) = all_865_2
% 275.49/45.63 | (390) bit0(all_865_1) = all_865_0
% 275.49/45.63 | (391) bit1(pls) = all_865_1
% 275.49/45.63 | (392) number_number_of_int(all_865_0) = all_865_2
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (98) with fresh symbol all_867_0 gives:
% 275.49/45.63 | (393) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_867_0 &
% 275.49/45.63 | fun_int_bool(all_867_0) & ! [v0: int] : ! [v1: int] : ( ~
% 275.49/45.63 | (times_times_int(v0, v0) = v1) | ~ int(v0) | ? [v2: bool] :
% 275.49/45.63 | (hAPP_int_bool(all_867_0, v1) = v2 & bool(v2) & hBOOL(v2)))
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (393) implies:
% 275.49/45.63 | (394) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_867_0
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (20) with fresh symbols all_873_0, all_873_1, all_873_2
% 275.49/45.63 | gives:
% 275.49/45.63 | (395) plus_plus_nat(one_one_nat, one_one_nat) = all_873_2 & bit1(pls) =
% 275.49/45.63 | all_873_1 & bit0(all_873_1) = all_873_0 &
% 275.49/45.63 | number_number_of_nat(all_873_0) = all_873_2 & nat(all_873_2) &
% 275.49/45.63 | int(all_873_0) & int(all_873_1)
% 275.49/45.63 |
% 275.49/45.63 | ALPHA: (395) implies:
% 275.49/45.63 | (396) number_number_of_nat(all_873_0) = all_873_2
% 275.49/45.63 | (397) bit0(all_873_1) = all_873_0
% 275.49/45.63 | (398) bit1(pls) = all_873_1
% 275.49/45.63 | (399) plus_plus_nat(one_one_nat, one_one_nat) = all_873_2
% 275.49/45.63 |
% 275.49/45.63 | DELTA: instantiating (147) with fresh symbol all_875_0 gives:
% 275.49/45.63 | (400) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_875_0 &
% 275.49/45.63 | fun_int_bool(all_875_0) & ! [v0: nat] : ! [v1: int] : ( ~
% 275.49/45.63 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~ nat(v0) | ?
% 275.49/45.63 | [v2: bool] : (hAPP_int_bool(all_875_0, v1) = v2 & bool(v2) &
% 275.49/45.63 | hBOOL(v2)))
% 275.49/45.63 |
% 275.49/45.64 | ALPHA: (400) implies:
% 275.49/45.64 | (401) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_875_0
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (147) with fresh symbol all_878_0 gives:
% 275.49/45.64 | (402) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_878_0 &
% 275.49/45.64 | fun_int_bool(all_878_0) & ! [v0: nat] : ! [v1: int] : ( ~
% 275.49/45.64 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~ nat(v0) | ?
% 275.49/45.64 | [v2: bool] : (hAPP_int_bool(all_878_0, v1) = v2 & bool(v2) &
% 275.49/45.64 | hBOOL(v2)))
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (402) implies:
% 275.49/45.64 | (403) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_878_0
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (17) with fresh symbols all_881_0, all_881_1, all_881_2
% 275.49/45.64 | gives:
% 275.49/45.64 | (404) number267125858f_real(all_881_0) = all_881_2 &
% 275.49/45.64 | plus_plus_real(one_one_real, one_one_real) = all_881_2 & bit1(pls) =
% 275.49/45.64 | all_881_1 & bit0(all_881_1) = all_881_0 & real(all_881_2) &
% 275.49/45.64 | int(all_881_0) & int(all_881_1)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (404) implies:
% 275.49/45.64 | (405) bit0(all_881_1) = all_881_0
% 275.49/45.64 | (406) bit1(pls) = all_881_1
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (17) with fresh symbols all_883_0, all_883_1, all_883_2
% 275.49/45.64 | gives:
% 275.49/45.64 | (407) number267125858f_real(all_883_0) = all_883_2 &
% 275.49/45.64 | plus_plus_real(one_one_real, one_one_real) = all_883_2 & bit1(pls) =
% 275.49/45.64 | all_883_1 & bit0(all_883_1) = all_883_0 & real(all_883_2) &
% 275.49/45.64 | int(all_883_0) & int(all_883_1)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (407) implies:
% 275.49/45.64 | (408) bit0(all_883_1) = all_883_0
% 275.49/45.64 | (409) bit1(pls) = all_883_1
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (20) with fresh symbols all_885_0, all_885_1, all_885_2
% 275.49/45.64 | gives:
% 275.49/45.64 | (410) plus_plus_nat(one_one_nat, one_one_nat) = all_885_2 & bit1(pls) =
% 275.49/45.64 | all_885_1 & bit0(all_885_1) = all_885_0 &
% 275.49/45.64 | number_number_of_nat(all_885_0) = all_885_2 & nat(all_885_2) &
% 275.49/45.64 | int(all_885_0) & int(all_885_1)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (410) implies:
% 275.49/45.64 | (411) bit0(all_885_1) = all_885_0
% 275.49/45.64 | (412) bit1(pls) = all_885_1
% 275.49/45.64 | (413) plus_plus_nat(one_one_nat, one_one_nat) = all_885_2
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (113) with fresh symbol all_887_0 gives:
% 275.49/45.64 | (414) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_887_0 &
% 275.49/45.64 | fun_int_bool(all_887_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.64 | (hAPP_int_bool(all_887_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.64 | ? [v2: nat] : (nat_1(v0) = v2 &
% 275.49/45.64 | hAPP_nat_int(semiri1621563631at_int, v2) = v0 & nat(v2)))
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (414) implies:
% 275.49/45.64 | (415) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_887_0
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (242) with fresh symbols all_899_0, all_899_1 gives:
% 275.49/45.64 | (416) number_number_of_int(min) = all_899_1 & power_power_int(all_899_1) =
% 275.49/45.64 | all_899_0 & fun_nat_int(all_899_0) & int(all_899_1) & ! [v0: nat] :
% 275.49/45.64 | ! [v1: int] : (v1 = all_899_1 | v1 = one_one_int | ~
% 275.49/45.64 | (hAPP_nat_int(all_899_0, v0) = v1) | ~ nat(v0))
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (416) implies:
% 275.49/45.64 | (417) number_number_of_int(min) = all_899_1
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (9) with fresh symbols all_905_0, all_905_1, all_905_2,
% 275.49/45.64 | all_905_3 gives:
% 275.49/45.64 | (418) power_power_real(zero_zero_real) = all_905_3 &
% 275.49/45.64 | hAPP_nat_real(all_905_3, all_905_0) = zero_zero_real & bit1(pls) =
% 275.49/45.64 | all_905_2 & bit0(all_905_2) = all_905_1 &
% 275.49/45.64 | number_number_of_nat(all_905_1) = all_905_0 & fun_nat_real(all_905_3)
% 275.49/45.64 | & nat(all_905_0) & int(all_905_1) & int(all_905_2)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (418) implies:
% 275.49/45.64 | (419) nat(all_905_0)
% 275.49/45.64 | (420) number_number_of_nat(all_905_1) = all_905_0
% 275.49/45.64 | (421) bit0(all_905_2) = all_905_1
% 275.49/45.64 | (422) bit1(pls) = all_905_2
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (8) with fresh symbols all_907_0, all_907_1, all_907_2,
% 275.49/45.64 | all_907_3 gives:
% 275.49/45.64 | (423) power_power_nat(zero_zero_nat) = all_907_3 & hAPP_nat_nat(all_907_3,
% 275.49/45.64 | all_907_0) = zero_zero_nat & bit1(pls) = all_907_2 &
% 275.49/45.64 | bit0(all_907_2) = all_907_1 & number_number_of_nat(all_907_1) =
% 275.49/45.64 | all_907_0 & fun_nat_nat(all_907_3) & nat(all_907_0) & int(all_907_1)
% 275.49/45.64 | & int(all_907_2)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (423) implies:
% 275.49/45.64 | (424) number_number_of_nat(all_907_1) = all_907_0
% 275.49/45.64 | (425) bit0(all_907_2) = all_907_1
% 275.49/45.64 | (426) bit1(pls) = all_907_2
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (156) with fresh symbols all_912_0, all_912_1, all_912_2,
% 275.49/45.64 | all_912_3 gives:
% 275.49/45.64 | (427) nat_1(all_912_0) = all_912_1 & number_number_of_int(all_912_2) =
% 275.49/45.64 | all_912_0 & bit1(all_912_3) = all_912_2 & bit1(pls) = all_912_3 &
% 275.49/45.64 | number_number_of_nat(all_912_2) = all_912_1 & nat(all_912_1) &
% 275.49/45.64 | int(all_912_0) & int(all_912_2) & int(all_912_3)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (427) implies:
% 275.49/45.64 | (428) bit1(pls) = all_912_3
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (6) with fresh symbols all_914_0, all_914_1, all_914_2,
% 275.49/45.64 | all_914_3 gives:
% 275.49/45.64 | (429) power_power_real(one_one_real) = all_914_3 & hAPP_nat_real(all_914_3,
% 275.49/45.64 | all_914_0) = one_one_real & bit1(pls) = all_914_2 & bit0(all_914_2)
% 275.49/45.64 | = all_914_1 & number_number_of_nat(all_914_1) = all_914_0 &
% 275.49/45.64 | fun_nat_real(all_914_3) & nat(all_914_0) & int(all_914_1) &
% 275.49/45.64 | int(all_914_2)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (429) implies:
% 275.49/45.64 | (430) number_number_of_nat(all_914_1) = all_914_0
% 275.49/45.64 | (431) bit0(all_914_2) = all_914_1
% 275.49/45.64 | (432) bit1(pls) = all_914_2
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (5) with fresh symbols all_922_0, all_922_1, all_922_2,
% 275.49/45.64 | all_922_3 gives:
% 275.49/45.64 | (433) power_power_nat(one_one_nat) = all_922_3 & hAPP_nat_nat(all_922_3,
% 275.49/45.64 | all_922_0) = one_one_nat & bit1(pls) = all_922_2 & bit0(all_922_2)
% 275.49/45.64 | = all_922_1 & number_number_of_nat(all_922_1) = all_922_0 &
% 275.49/45.64 | fun_nat_nat(all_922_3) & nat(all_922_0) & int(all_922_1) &
% 275.49/45.64 | int(all_922_2)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (433) implies:
% 275.49/45.64 | (434) number_number_of_nat(all_922_1) = all_922_0
% 275.49/45.64 | (435) bit0(all_922_2) = all_922_1
% 275.49/45.64 | (436) bit1(pls) = all_922_2
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (7) with fresh symbols all_924_0, all_924_1, all_924_2,
% 275.49/45.64 | all_924_3 gives:
% 275.49/45.64 | (437) bit1(pls) = all_924_2 & bit0(all_924_2) = all_924_1 &
% 275.49/45.64 | number_number_of_nat(all_924_1) = all_924_0 &
% 275.49/45.64 | power_power_int(zero_zero_int) = all_924_3 & hAPP_nat_int(all_924_3,
% 275.49/45.64 | all_924_0) = zero_zero_int & fun_nat_int(all_924_3) &
% 275.49/45.64 | nat(all_924_0) & int(all_924_1) & int(all_924_2)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (437) implies:
% 275.49/45.64 | (438) number_number_of_nat(all_924_1) = all_924_0
% 275.49/45.64 | (439) bit0(all_924_2) = all_924_1
% 275.49/45.64 | (440) bit1(pls) = all_924_2
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (201) with fresh symbols all_926_0, all_926_1, all_926_2,
% 275.49/45.64 | all_926_3 gives:
% 275.49/45.64 | (441) number_number_of_int(all_926_2) = all_926_1 & bit1(pls) = all_926_3 &
% 275.49/45.64 | bit0(all_926_3) = all_926_2 & hAPP_int_bool(zprime, all_926_1) =
% 275.49/45.64 | all_926_0 & int(all_926_1) & int(all_926_2) & int(all_926_3) &
% 275.49/45.64 | bool(all_926_0) & hBOOL(all_926_0)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (441) implies:
% 275.49/45.64 | (442) bit0(all_926_3) = all_926_2
% 275.49/45.64 | (443) bit1(pls) = all_926_3
% 275.49/45.64 | (444) number_number_of_int(all_926_2) = all_926_1
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (12) with fresh symbol all_930_0 gives:
% 275.49/45.64 | (445) bit1(pls) = all_930_0 & int(all_930_0) & ! [v0: int] : ! [v1: int]
% 275.49/45.64 | : ( ~ (plus_plus_int(all_930_0, v0) = v1) | ~ int(v0) | ? [v2: int]
% 275.49/45.64 | : ? [v3: int] : (number_number_of_int(v1) = v3 &
% 275.49/45.64 | number_number_of_int(v0) = v2 & plus_plus_int(one_one_int, v2) =
% 275.49/45.64 | v3 & int(v3) & int(v2)))
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (445) implies:
% 275.49/45.64 | (446) bit1(pls) = all_930_0
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (13) with fresh symbol all_933_0 gives:
% 275.49/45.64 | (447) bit1(pls) = all_933_0 & int(all_933_0) & ! [v0: int] : ! [v1: int]
% 275.49/45.64 | : ( ~ (plus_plus_int(all_933_0, v0) = v1) | ~ int(v0) | ? [v2:
% 275.49/45.64 | real] : ? [v3: real] : (number267125858f_real(v1) = v3 &
% 275.49/45.64 | number267125858f_real(v0) = v2 & plus_plus_real(one_one_real, v2)
% 275.49/45.64 | = v3 & real(v3) & real(v2)))
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (447) implies:
% 275.49/45.64 | (448) bit1(pls) = all_933_0
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (14) with fresh symbol all_936_0 gives:
% 275.49/45.64 | (449) bit1(pls) = all_936_0 & int(all_936_0) & ! [v0: int] : ! [v1: int]
% 275.49/45.64 | : ( ~ (plus_plus_int(v0, all_936_0) = v1) | ~ int(v0) | ? [v2: int]
% 275.49/45.64 | : ? [v3: int] : (number_number_of_int(v1) = v3 &
% 275.49/45.64 | number_number_of_int(v0) = v2 & plus_plus_int(v2, one_one_int) =
% 275.49/45.64 | v3 & int(v3) & int(v2)))
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (449) implies:
% 275.49/45.64 | (450) bit1(pls) = all_936_0
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (15) with fresh symbol all_939_0 gives:
% 275.49/45.64 | (451) bit1(pls) = all_939_0 & int(all_939_0) & ! [v0: int] : ! [v1: int]
% 275.49/45.64 | : ( ~ (plus_plus_int(v0, all_939_0) = v1) | ~ int(v0) | ? [v2:
% 275.49/45.64 | real] : ? [v3: real] : (number267125858f_real(v1) = v3 &
% 275.49/45.64 | number267125858f_real(v0) = v2 & plus_plus_real(v2, one_one_real)
% 275.49/45.64 | = v3 & real(v3) & real(v2)))
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (451) implies:
% 275.49/45.64 | (452) bit1(pls) = all_939_0
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (4) with fresh symbols all_942_0, all_942_1, all_942_2,
% 275.49/45.64 | all_942_3 gives:
% 275.49/45.64 | (453) bit1(pls) = all_942_2 & bit0(all_942_2) = all_942_1 &
% 275.49/45.64 | number_number_of_nat(all_942_1) = all_942_0 &
% 275.49/45.64 | power_power_int(one_one_int) = all_942_3 & hAPP_nat_int(all_942_3,
% 275.49/45.64 | all_942_0) = one_one_int & fun_nat_int(all_942_3) & nat(all_942_0)
% 275.49/45.64 | & int(all_942_1) & int(all_942_2)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (453) implies:
% 275.49/45.64 | (454) number_number_of_nat(all_942_1) = all_942_0
% 275.49/45.64 | (455) bit0(all_942_2) = all_942_1
% 275.49/45.64 | (456) bit1(pls) = all_942_2
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (51) with fresh symbols all_944_0, all_944_1, all_944_2,
% 275.49/45.64 | all_944_3 gives:
% 275.49/45.64 | (457) number_number_of_int(all_944_2) = all_944_1 & bit1(pls) = all_944_3 &
% 275.49/45.64 | bit0(all_944_3) = all_944_2 & number_number_of_nat(all_944_2) =
% 275.49/45.64 | all_944_0 & hAPP_nat_int(semiri1621563631at_int, all_944_0) =
% 275.49/45.64 | all_944_1 & nat(all_944_0) & int(all_944_1) & int(all_944_2) &
% 275.49/45.64 | int(all_944_3)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (457) implies:
% 275.49/45.64 | (458) hAPP_nat_int(semiri1621563631at_int, all_944_0) = all_944_1
% 275.49/45.64 | (459) number_number_of_nat(all_944_2) = all_944_0
% 275.49/45.64 | (460) bit0(all_944_3) = all_944_2
% 275.49/45.64 | (461) bit1(pls) = all_944_3
% 275.49/45.64 | (462) number_number_of_int(all_944_2) = all_944_1
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (52) with fresh symbols all_946_0, all_946_1, all_946_2,
% 275.49/45.64 | all_946_3 gives:
% 275.49/45.64 | (463) number_number_of_int(all_946_2) = all_946_1 & bit1(all_946_3) =
% 275.49/45.64 | all_946_2 & bit1(pls) = all_946_3 & number_number_of_nat(all_946_2) =
% 275.49/45.64 | all_946_0 & hAPP_nat_int(semiri1621563631at_int, all_946_0) =
% 275.49/45.64 | all_946_1 & nat(all_946_0) & int(all_946_1) & int(all_946_2) &
% 275.49/45.64 | int(all_946_3)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (463) implies:
% 275.49/45.64 | (464) bit1(pls) = all_946_3
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (48) with fresh symbols all_948_0, all_948_1, all_948_2,
% 275.49/45.64 | all_948_3 gives:
% 275.49/45.64 | (465) hAPP_i1948725293t_bool(ord_less_int, m1) = all_948_3 &
% 275.49/45.64 | hAPP_nat_int(semiri1621563631at_int, n) = all_948_2 &
% 275.49/45.64 | plus_plus_int(one_one_int, all_948_2) = all_948_1 &
% 275.49/45.64 | hAPP_int_bool(all_948_3, all_948_1) = all_948_0 &
% 275.49/45.64 | fun_int_bool(all_948_3) & int(all_948_1) & int(all_948_2) &
% 275.49/45.64 | bool(all_948_0) & hBOOL(all_948_0)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (465) implies:
% 275.49/45.64 | (466) hBOOL(all_948_0)
% 275.49/45.64 | (467) hAPP_int_bool(all_948_3, all_948_1) = all_948_0
% 275.49/45.64 | (468) plus_plus_int(one_one_int, all_948_2) = all_948_1
% 275.49/45.64 | (469) hAPP_nat_int(semiri1621563631at_int, n) = all_948_2
% 275.49/45.64 | (470) hAPP_i1948725293t_bool(ord_less_int, m1) = all_948_3
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (1) with fresh symbols all_953_0, all_953_1, all_953_2,
% 275.49/45.64 | all_953_3 gives:
% 275.49/45.64 | (471) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_953_3 &
% 275.49/45.64 | hAPP_nat_int(semiri1621563631at_int, n) = all_953_2 &
% 275.49/45.64 | plus_plus_int(one_one_int, all_953_2) = all_953_1 &
% 275.49/45.64 | hAPP_int_bool(all_953_3, all_953_1) = all_953_0 &
% 275.49/45.64 | fun_int_bool(all_953_3) & int(all_953_1) & int(all_953_2) &
% 275.49/45.64 | bool(all_953_0) & hBOOL(all_953_0)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (471) implies:
% 275.49/45.64 | (472) hBOOL(all_953_0)
% 275.49/45.64 | (473) int(all_953_2)
% 275.49/45.64 | (474) hAPP_int_bool(all_953_3, all_953_1) = all_953_0
% 275.49/45.64 | (475) plus_plus_int(one_one_int, all_953_2) = all_953_1
% 275.49/45.64 | (476) hAPP_nat_int(semiri1621563631at_int, n) = all_953_2
% 275.49/45.64 | (477) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_953_3
% 275.49/45.64 |
% 275.49/45.64 | DELTA: instantiating (159) with fresh symbols all_955_0, all_955_1, all_955_2,
% 275.49/45.64 | all_955_3 gives:
% 275.49/45.64 | (478) nat_1(all_955_0) = all_955_1 & number_number_of_int(all_955_2) =
% 275.49/45.64 | all_955_0 & bit1(pls) = all_955_3 & bit0(all_955_3) = all_955_2 &
% 275.49/45.64 | number_number_of_nat(all_955_2) = all_955_1 & nat(all_955_1) &
% 275.49/45.64 | int(all_955_0) & int(all_955_2) & int(all_955_3)
% 275.49/45.64 |
% 275.49/45.64 | ALPHA: (478) implies:
% 275.49/45.65 | (479) number_number_of_nat(all_955_2) = all_955_1
% 275.49/45.65 | (480) bit0(all_955_3) = all_955_2
% 275.49/45.65 | (481) bit1(pls) = all_955_3
% 275.49/45.65 | (482) number_number_of_int(all_955_2) = all_955_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (261) with fresh symbol all_957_0 gives:
% 275.49/45.65 | (483) number_number_of_int(min) = all_957_0 & int(all_957_0) & ! [v0: any]
% 275.49/45.65 | : (v0 = all_957_0 | v0 = one_one_int | ~ (abs_abs_int(v0) =
% 275.49/45.65 | one_one_int) | ~ int(v0)) & ! [v0: int] : (v0 = one_one_int |
% 275.49/45.65 | ~ (abs_abs_int(all_957_0) = v0)) & ! [v0: int] : (v0 = one_one_int
% 275.49/45.65 | | ~ (abs_abs_int(one_one_int) = v0))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (483) implies:
% 275.49/45.65 | (484) number_number_of_int(min) = all_957_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (259) with fresh symbol all_960_0 gives:
% 275.49/45.65 | (485) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_960_0 &
% 275.49/45.65 | fun_int_bool(all_960_0) & ! [v0: int] : ! [v1: nat] : ! [v2: int]
% 275.49/45.65 | : ! [v3: fun_nat_int] : ! [v4: int] : ( ~ (abs_abs_int(v0) = v2) |
% 275.49/45.65 | ~ (power_power_int(v2) = v3) | ~ (hAPP_nat_int(v3, v1) = v4) | ~
% 275.49/45.65 | nat(v1) | ~ int(v0) | ? [v5: bool] : (hAPP_int_bool(all_960_0,
% 275.49/45.65 | v4) = v5 & bool(v5) & hBOOL(v5)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (485) implies:
% 275.49/45.65 | (486) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_960_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (186) with fresh symbols all_963_0, all_963_1, all_963_2
% 275.49/45.65 | gives:
% 275.49/45.65 | (487) bit1(pls) = all_963_2 & bit0(all_963_2) = all_963_1 &
% 275.49/45.65 | number_number_of_nat(all_963_1) = all_963_0 & nat(all_963_0) &
% 275.49/45.65 | int(all_963_1) & int(all_963_2) & ! [v0: nat] : ! [v1: nat] : ( ~
% 275.49/45.65 | (times_times_nat(all_963_0, v0) = v1) | ~ nat(v0) |
% 275.49/45.65 | (plus_plus_nat(v0, v0) = v1 & nat(v1)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (487) implies:
% 275.49/45.65 | (488) number_number_of_nat(all_963_1) = all_963_0
% 275.49/45.65 | (489) bit0(all_963_2) = all_963_1
% 275.49/45.65 | (490) bit1(pls) = all_963_2
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (108) with fresh symbol all_966_0 gives:
% 275.49/45.65 | (491) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_966_0 &
% 275.49/45.65 | fun_int_bool(all_966_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.65 | : ! [v3: int] : ! [v4: int] : ( ~ (times_times_int(v1, v1) = v3) |
% 275.49/45.65 | ~ (times_times_int(v0, v0) = v2) | ~ (plus_plus_int(v2, v3) = v4)
% 275.49/45.65 | | ~ int(v1) | ~ int(v0) | ? [v5: bool] :
% 275.49/45.65 | (hAPP_int_bool(all_966_0, v4) = v5 & bool(v5) & hBOOL(v5)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (491) implies:
% 275.49/45.65 | (492) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_966_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (187) with fresh symbols all_969_0, all_969_1, all_969_2
% 275.49/45.65 | gives:
% 275.49/45.65 | (493) bit1(pls) = all_969_2 & bit0(all_969_2) = all_969_1 &
% 275.49/45.65 | number_number_of_nat(all_969_1) = all_969_0 & nat(all_969_0) &
% 275.49/45.65 | int(all_969_1) & int(all_969_2) & ! [v0: nat] : ! [v1: nat] : ( ~
% 275.49/45.65 | (times_times_nat(v0, all_969_0) = v1) | ~ nat(v0) |
% 275.49/45.65 | (plus_plus_nat(v0, v0) = v1 & nat(v1)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (493) implies:
% 275.49/45.65 | (494) number_number_of_nat(all_969_1) = all_969_0
% 275.49/45.65 | (495) bit0(all_969_2) = all_969_1
% 275.49/45.65 | (496) bit1(pls) = all_969_2
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (160) with fresh symbols all_978_0, all_978_1, all_978_2,
% 275.49/45.65 | all_978_3, all_978_4 gives:
% 275.49/45.65 | (497) number_number_of_int(all_978_2) = all_978_1 & bit1(pls) = all_978_3 &
% 275.49/45.65 | bit0(all_978_3) = all_978_2 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.49/45.65 | zero_zero_int) = all_978_4 & hAPP_int_bool(all_978_4, all_978_1) =
% 275.49/45.65 | all_978_0 & fun_int_bool(all_978_4) & int(all_978_1) & int(all_978_2)
% 275.49/45.65 | & int(all_978_3) & bool(all_978_0) & hBOOL(all_978_0)
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (497) implies:
% 275.49/45.65 | (498) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_978_4
% 275.49/45.65 | (499) bit0(all_978_3) = all_978_2
% 275.49/45.65 | (500) bit1(pls) = all_978_3
% 275.49/45.65 | (501) number_number_of_int(all_978_2) = all_978_1
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (157) with fresh symbols all_980_0, all_980_1, all_980_2,
% 275.49/45.65 | all_980_3, all_980_4 gives:
% 275.49/45.65 | (502) number_number_of_int(all_980_2) = all_980_1 & bit1(all_980_3) =
% 275.49/45.65 | all_980_2 & bit1(pls) = all_980_3 &
% 275.49/45.65 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_980_4 &
% 275.49/45.65 | hAPP_int_bool(all_980_4, all_980_1) = all_980_0 &
% 275.49/45.65 | fun_int_bool(all_980_4) & int(all_980_1) & int(all_980_2) &
% 275.49/45.65 | int(all_980_3) & bool(all_980_0) & hBOOL(all_980_0)
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (502) implies:
% 275.49/45.65 | (503) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_980_4
% 275.49/45.65 | (504) bit1(pls) = all_980_3
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (70) with fresh symbols all_982_0, all_982_1, all_982_2,
% 275.49/45.65 | all_982_3, all_982_4 gives:
% 275.49/45.65 | (505) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_982_4 &
% 275.49/45.65 | hAPP_nat_bool(all_982_4, all_982_1) = all_982_0 & bit1(pls) =
% 275.49/45.65 | all_982_3 & bit0(all_982_3) = all_982_2 &
% 275.49/45.65 | number_number_of_nat(all_982_2) = all_982_1 & fun_nat_bool(all_982_4)
% 275.49/45.65 | & nat(all_982_1) & int(all_982_2) & int(all_982_3) & bool(all_982_0)
% 275.49/45.65 | & hBOOL(all_982_0)
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (505) implies:
% 275.49/45.65 | (506) number_number_of_nat(all_982_2) = all_982_1
% 275.49/45.65 | (507) bit0(all_982_3) = all_982_2
% 275.49/45.65 | (508) bit1(pls) = all_982_3
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (148) with fresh symbol all_984_0 gives:
% 275.49/45.65 | (509) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_984_0 &
% 275.49/45.65 | fun_int_bool(all_984_0) & ! [v0: nat] : ! [v1: int] : ! [v2:
% 275.49/45.65 | fun_nat_int] : ! [v3: int] : ( ~ (power_power_int(v1) = v2) | ~
% 275.49/45.65 | (hAPP_nat_int(v2, v0) = v3) | ~ nat(v0) | ~ int(v1) | ? [v4:
% 275.49/45.65 | bool] : ? [v5: bool] : ((hAPP_int_bool(all_984_0, v3) = v5 &
% 275.49/45.65 | bool(v5) & hBOOL(v5)) | (hAPP_int_bool(all_984_0, v1) = v4 &
% 275.49/45.65 | bool(v4) & ~ hBOOL(v4))))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (509) implies:
% 275.49/45.65 | (510) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_984_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (162) with fresh symbols all_987_0, all_987_1, all_987_2
% 275.49/45.65 | gives:
% 275.49/45.65 | (511) bit1(pls) = all_987_2 & bit0(all_987_2) = all_987_1 &
% 275.49/45.65 | number_number_of_nat(all_987_1) = all_987_0 & nat(all_987_0) &
% 275.49/45.65 | int(all_987_1) & int(all_987_2) & ! [v0: int] : ! [v1:
% 275.49/45.65 | fun_int_bool] : ! [v2: fun_nat_int] : ! [v3: int] : ! [v4: bool]
% 275.49/45.65 | : ( ~ (power_power_int(v0) = v2) | ~
% 275.49/45.65 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v1) | ~
% 275.49/45.65 | (hAPP_nat_int(v2, all_987_0) = v3) | ~ (hAPP_int_bool(v1, v3) =
% 275.49/45.65 | v4) | ~ int(v0) | hBOOL(v4))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (511) implies:
% 275.49/45.65 | (512) number_number_of_nat(all_987_1) = all_987_0
% 275.49/45.65 | (513) bit0(all_987_2) = all_987_1
% 275.49/45.65 | (514) bit1(pls) = all_987_2
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (65) with fresh symbol all_999_0 gives:
% 275.49/45.65 | (515) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_999_0 &
% 275.49/45.65 | fun_int_bool(all_999_0) & ! [v0: nat] : ! [v1: int] : ! [v2:
% 275.49/45.65 | fun_nat_int] : ! [v3: int] : ( ~ (power_power_int(v1) = v2) | ~
% 275.49/45.65 | (hAPP_nat_int(v2, v0) = v3) | ~ nat(v0) | ~ int(v1) | ? [v4:
% 275.49/45.65 | bool] : ? [v5: bool] : ((hAPP_int_bool(all_999_0, v3) = v5 &
% 275.49/45.65 | bool(v5) & hBOOL(v5)) | (hAPP_int_bool(all_999_0, v1) = v4 &
% 275.49/45.65 | bool(v4) & ~ hBOOL(v4))))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (515) implies:
% 275.49/45.65 | (516) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_999_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (158) with fresh symbols all_1005_0, all_1005_1 gives:
% 275.49/45.65 | (517) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1005_1 &
% 275.49/45.65 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1005_0 &
% 275.49/45.65 | fun_int_bool(all_1005_0) & fun_int_bool(all_1005_1) & ! [v0: int] :
% 275.49/45.65 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1005_1, v0) = v1) | ~ int(v0)
% 275.49/45.65 | | ~ hBOOL(v1) | ? [v2: int] : ? [v3: bool] :
% 275.49/45.65 | (plus_plus_int(one_one_int, v0) = v2 & hAPP_int_bool(all_1005_0,
% 275.49/45.65 | v2) = v3 & int(v2) & bool(v3) & hBOOL(v3)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (517) implies:
% 275.49/45.65 | (518) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1005_0
% 275.49/45.65 | (519) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1005_1
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (66) with fresh symbol all_1011_0 gives:
% 275.49/45.65 | (520) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1011_0 &
% 275.49/45.65 | fun_int_bool(all_1011_0) & ! [v0: nat] : ! [v1: nat] : ! [v2: int]
% 275.49/45.65 | : ! [v3: fun_nat_int] : ! [v4: int] : (v1 = v0 | ~
% 275.49/45.65 | (power_power_int(v2) = v3) | ~ (hAPP_nat_int(v3, v1) = v4) | ~
% 275.49/45.65 | (hAPP_nat_int(v3, v0) = v4) | ~ nat(v1) | ~ nat(v0) | ~ int(v2)
% 275.49/45.65 | | ? [v5: bool] : (hAPP_int_bool(all_1011_0, v2) = v5 & bool(v5) &
% 275.49/45.65 | ~ hBOOL(v5)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (520) implies:
% 275.49/45.65 | (521) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1011_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (71) with fresh symbols all_1017_0, all_1017_1 gives:
% 275.49/45.65 | (522) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1017_0 &
% 275.49/45.65 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1017_1 &
% 275.49/45.65 | fun_nat_bool(all_1017_0) & fun_int_bool(all_1017_1) & ! [v0: int] :
% 275.49/45.65 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1017_1, v0) = v1) | ~ int(v0)
% 275.49/45.65 | | ~ hBOOL(v1) | ? [v2: nat] : ? [v3: bool] :
% 275.49/45.65 | (hAPP_nat_bool(all_1017_0, v2) = v3 &
% 275.49/45.65 | hAPP_nat_int(semiri1621563631at_int, v2) = v0 & nat(v2) &
% 275.49/45.65 | bool(v3) & hBOOL(v3)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (522) implies:
% 275.49/45.65 | (523) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1017_1
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (141) with fresh symbol all_1023_0 gives:
% 275.49/45.65 | (524) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1023_0 &
% 275.49/45.65 | fun_int_bool(all_1023_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.65 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1023_0, v1) = v2) |
% 275.49/45.65 | ~ (hAPP_int_bool(all_1023_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.65 | ~ hBOOL(v2) | hBOOL(v3) | ? [v4: int] : ? [v5: bool] :
% 275.49/45.65 | (times_times_int(v1, v0) = v4 & hAPP_int_bool(all_1023_0, v4) = v5
% 275.49/45.65 | & int(v4) & bool(v5) & ~ hBOOL(v5)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (524) implies:
% 275.49/45.65 | (525) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1023_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (93) with fresh symbol all_1026_0 gives:
% 275.49/45.65 | (526) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1026_0 &
% 275.49/45.65 | fun_int_bool(all_1026_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.65 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1026_0, v1) = v2) |
% 275.49/45.65 | ~ (hAPP_int_bool(all_1026_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.65 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: int] : ? [v5: bool] :
% 275.49/45.65 | (times_times_int(v1, v0) = v4 & hAPP_int_bool(all_1026_0, v4) = v5
% 275.49/45.65 | & int(v4) & bool(v5) & hBOOL(v5)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (526) implies:
% 275.49/45.65 | (527) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1026_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (144) with fresh symbol all_1029_0 gives:
% 275.49/45.65 | (528) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1029_0 &
% 275.49/45.65 | fun_int_bool(all_1029_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.65 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1029_0, v1) = v2) |
% 275.49/45.65 | ~ (hAPP_int_bool(all_1029_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.65 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: int] : ? [v5: bool] :
% 275.49/45.65 | (plus_plus_int(v1, v0) = v4 & hAPP_int_bool(all_1029_0, v4) = v5 &
% 275.49/45.65 | int(v4) & bool(v5) & hBOOL(v5)))
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (528) implies:
% 275.49/45.65 | (529) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1029_0
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (276) with fresh symbols all_1032_0, all_1032_1,
% 275.49/45.65 | all_1032_2, all_1032_3, all_1032_4, all_1032_5 gives:
% 275.49/45.65 | (530) bit1(pls) = all_1032_2 & bit0(all_1032_2) = all_1032_1 &
% 275.49/45.65 | number_number_of_nat(all_1032_1) = all_1032_0 &
% 275.49/45.65 | power_power_int(all_1032_4) = all_1032_3 & hAPP_nat_int(all_1032_3,
% 275.49/45.65 | all_1032_0) = zero_zero_int & hAPP_nat_int(semiri1621563631at_int,
% 275.49/45.65 | n) = all_1032_5 & plus_plus_int(one_one_int, all_1032_5) =
% 275.49/45.65 | all_1032_4 & fun_nat_int(all_1032_3) & nat(all_1032_0) &
% 275.49/45.65 | int(all_1032_1) & int(all_1032_2) & int(all_1032_4) & int(all_1032_5)
% 275.49/45.65 |
% 275.49/45.65 | ALPHA: (530) implies:
% 275.49/45.65 | (531) plus_plus_int(one_one_int, all_1032_5) = all_1032_4
% 275.49/45.65 | (532) hAPP_nat_int(semiri1621563631at_int, n) = all_1032_5
% 275.49/45.65 | (533) hAPP_nat_int(all_1032_3, all_1032_0) = zero_zero_int
% 275.49/45.65 | (534) power_power_int(all_1032_4) = all_1032_3
% 275.49/45.65 | (535) number_number_of_nat(all_1032_1) = all_1032_0
% 275.49/45.65 | (536) bit0(all_1032_2) = all_1032_1
% 275.49/45.65 | (537) bit1(pls) = all_1032_2
% 275.49/45.65 |
% 275.49/45.65 | DELTA: instantiating (73) with fresh symbol all_1043_0 gives:
% 275.49/45.66 | (538) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1043_0 &
% 275.49/45.66 | fun_int_bool(all_1043_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.66 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1043_0, v1) = v2) |
% 275.49/45.66 | ~ (hAPP_int_bool(all_1043_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.66 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: int] : ? [v5: bool] :
% 275.49/45.66 | (plus_plus_int(v1, v0) = v4 & hAPP_int_bool(all_1043_0, v4) = v5 &
% 275.49/45.66 | int(v4) & bool(v5) & hBOOL(v5)))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (538) implies:
% 275.49/45.66 | (539) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1043_0
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (93) with fresh symbol all_1046_0 gives:
% 275.49/45.66 | (540) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1046_0 &
% 275.49/45.66 | fun_int_bool(all_1046_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.66 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1046_0, v1) = v2) |
% 275.49/45.66 | ~ (hAPP_int_bool(all_1046_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.66 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: int] : ? [v5: bool] :
% 275.49/45.66 | (times_times_int(v1, v0) = v4 & hAPP_int_bool(all_1046_0, v4) = v5
% 275.49/45.66 | & int(v4) & bool(v5) & hBOOL(v5)))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (540) implies:
% 275.49/45.66 | (541) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1046_0
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (49) with fresh symbols all_1058_0, all_1058_1,
% 275.49/45.66 | all_1058_2, all_1058_3 gives:
% 275.49/45.66 | (542) number_number_of_int(all_1058_2) = all_1058_1 & bit1(pls) =
% 275.49/45.66 | all_1058_3 & bit0(all_1058_3) = all_1058_2 &
% 275.49/45.66 | power_power_int(all_1058_1) = all_1058_0 & fun_nat_int(all_1058_0) &
% 275.49/45.66 | int(all_1058_1) & int(all_1058_2) & int(all_1058_3) & ! [v0: nat] :
% 275.49/45.66 | ! [v1: int] : ! [v2: fun_int_bool] : ! [v3: int] : ! [v4: bool] :
% 275.49/45.66 | ( ~ (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) | ~
% 275.49/45.66 | (hAPP_nat_int(all_1058_0, v0) = v3) | ~
% 275.49/45.66 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~
% 275.49/45.66 | (hAPP_int_bool(v2, v3) = v4) | ~ nat(v0) | hBOOL(v4))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (542) implies:
% 275.49/45.66 | (543) bit0(all_1058_3) = all_1058_2
% 275.49/45.66 | (544) bit1(pls) = all_1058_3
% 275.49/45.66 | (545) number_number_of_int(all_1058_2) = all_1058_1
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (50) with fresh symbols all_1061_0, all_1061_1,
% 275.49/45.66 | all_1061_2, all_1061_3 gives:
% 275.49/45.66 | (546) number267125858f_real(all_1061_2) = all_1061_1 &
% 275.49/45.66 | power_power_real(all_1061_1) = all_1061_0 & bit1(pls) = all_1061_3 &
% 275.49/45.66 | bit0(all_1061_3) = all_1061_2 & fun_nat_real(all_1061_0) &
% 275.49/45.66 | real(all_1061_1) & int(all_1061_2) & int(all_1061_3) & ! [v0: nat] :
% 275.49/45.66 | ! [v1: real] : ! [v2: fun_real_bool] : ! [v3: real] : ! [v4:
% 275.49/45.66 | bool] : ( ~ (hAPP_r1134773055l_bool(ord_less_real, v1) = v2) | ~
% 275.49/45.66 | (hAPP_real_bool(v2, v3) = v4) | ~ (hAPP_nat_real(all_1061_0, v0) =
% 275.49/45.66 | v3) | ~ (hAPP_nat_real(semiri132038758t_real, v0) = v1) | ~
% 275.49/45.66 | nat(v0) | hBOOL(v4))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (546) implies:
% 275.49/45.66 | (547) bit0(all_1061_3) = all_1061_2
% 275.49/45.66 | (548) bit1(pls) = all_1061_3
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (11) with fresh symbols all_1067_0, all_1067_1,
% 275.49/45.66 | all_1067_2 gives:
% 275.49/45.66 | (549) bit1(pls) = all_1067_2 & bit0(all_1067_2) = all_1067_1 &
% 275.49/45.66 | number_number_of_nat(all_1067_1) = all_1067_0 & nat(all_1067_0) &
% 275.49/45.66 | int(all_1067_1) & int(all_1067_2) & ! [v0: real] : ! [v1:
% 275.49/45.66 | fun_nat_real] : (v0 = zero_zero_real | ~ (power_power_real(v0) =
% 275.49/45.66 | v1) | ~ real(v0) | ? [v2: real] : ( ~ (v2 = zero_zero_real) &
% 275.49/45.66 | hAPP_nat_real(v1, all_1067_0) = v2 & real(v2))) & ! [v0:
% 275.49/45.66 | fun_nat_real] : ( ~ (power_power_real(zero_zero_real) = v0) |
% 275.49/45.66 | hAPP_nat_real(v0, all_1067_0) = zero_zero_real)
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (549) implies:
% 275.49/45.66 | (550) number_number_of_nat(all_1067_1) = all_1067_0
% 275.49/45.66 | (551) bit0(all_1067_2) = all_1067_1
% 275.49/45.66 | (552) bit1(pls) = all_1067_2
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (10) with fresh symbols all_1070_0, all_1070_1,
% 275.49/45.66 | all_1070_2 gives:
% 275.49/45.66 | (553) bit1(pls) = all_1070_2 & bit0(all_1070_2) = all_1070_1 &
% 275.49/45.66 | number_number_of_nat(all_1070_1) = all_1070_0 & nat(all_1070_0) &
% 275.49/45.66 | int(all_1070_1) & int(all_1070_2) & ! [v0: int] : ! [v1:
% 275.49/45.66 | fun_nat_int] : (v0 = zero_zero_int | ~ (power_power_int(v0) = v1)
% 275.49/45.66 | | ~ int(v0) | ? [v2: int] : ( ~ (v2 = zero_zero_int) &
% 275.49/45.66 | hAPP_nat_int(v1, all_1070_0) = v2 & int(v2))) & ! [v0:
% 275.49/45.66 | fun_nat_int] : ( ~ (power_power_int(zero_zero_int) = v0) |
% 275.49/45.66 | hAPP_nat_int(v0, all_1070_0) = zero_zero_int)
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (553) implies:
% 275.49/45.66 | (554) number_number_of_nat(all_1070_1) = all_1070_0
% 275.49/45.66 | (555) bit0(all_1070_2) = all_1070_1
% 275.49/45.66 | (556) bit1(pls) = all_1070_2
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (111) with fresh symbol all_1073_0 gives:
% 275.49/45.66 | (557) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1073_0 &
% 275.49/45.66 | fun_int_bool(all_1073_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.66 | (hAPP_int_bool(all_1073_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.66 | ? [v2: nat] : (nat_1(v0) = v2 &
% 275.49/45.66 | hAPP_nat_int(semiri1621563631at_int, v2) = v0 & nat(v2))) & !
% 275.49/45.66 | [v0: int] : ! [v1: bool] : ( ~ (hAPP_int_bool(all_1073_0, v0) = v1)
% 275.49/45.66 | | ~ int(v0) | hBOOL(v1) | ? [v2: nat] : (nat_1(v0) = v2 &
% 275.49/45.66 | hAPP_nat_int(semiri1621563631at_int, v2) = zero_zero_int &
% 275.49/45.66 | nat(v2)))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (557) implies:
% 275.49/45.66 | (558) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1073_0
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (266) with fresh symbols all_1079_0, all_1079_1,
% 275.49/45.66 | all_1079_2 gives:
% 275.49/45.66 | (559) bit1(pls) = all_1079_2 & bit0(all_1079_2) = all_1079_1 &
% 275.49/45.66 | number_number_of_nat(all_1079_1) = all_1079_0 & nat(all_1079_0) &
% 275.49/45.66 | int(all_1079_1) & int(all_1079_2) & ! [v0: int] : ! [v1: int] : (v1
% 275.49/45.66 | = one_one_int | ~ (abs_abs_int(v0) = v1) | ~ int(v0) | ? [v2:
% 275.49/45.66 | fun_nat_int] : ? [v3: int] : ( ~ (v3 = one_one_int) &
% 275.49/45.66 | power_power_int(v0) = v2 & hAPP_nat_int(v2, all_1079_0) = v3 &
% 275.49/45.66 | fun_nat_int(v2) & int(v3)))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (559) implies:
% 275.49/45.66 | (560) number_number_of_nat(all_1079_1) = all_1079_0
% 275.49/45.66 | (561) bit0(all_1079_2) = all_1079_1
% 275.49/45.66 | (562) bit1(pls) = all_1079_2
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (39) with fresh symbols all_1085_0, all_1085_1,
% 275.49/45.66 | all_1085_2 gives:
% 275.49/45.66 | (563) bit1(pls) = all_1085_2 & bit0(all_1085_2) = all_1085_1 &
% 275.49/45.66 | number_number_of_nat(all_1085_1) = all_1085_0 & nat(all_1085_0) &
% 275.49/45.66 | int(all_1085_1) & int(all_1085_2) & ! [v0: real] : ! [v1:
% 275.49/45.66 | fun_nat_real] : ( ~ (power_power_real(v0) = v1) | ~ real(v0) | ?
% 275.49/45.66 | [v2: real] : ? [v3: fun_real_bool] : ? [v4: bool] :
% 275.49/45.66 | (hAPP_r1134773055l_bool(ord_less_real, v2) = v3 &
% 275.49/45.66 | hAPP_real_bool(v3, zero_zero_real) = v4 & hAPP_nat_real(v1,
% 275.49/45.66 | all_1085_0) = v2 & fun_real_bool(v3) & real(v2) & bool(v4) & ~
% 275.49/45.66 | hBOOL(v4)))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (563) implies:
% 275.49/45.66 | (564) number_number_of_nat(all_1085_1) = all_1085_0
% 275.49/45.66 | (565) bit0(all_1085_2) = all_1085_1
% 275.49/45.66 | (566) bit1(pls) = all_1085_2
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (38) with fresh symbols all_1088_0, all_1088_1,
% 275.49/45.66 | all_1088_2 gives:
% 275.49/45.66 | (567) bit1(pls) = all_1088_2 & bit0(all_1088_2) = all_1088_1 &
% 275.49/45.66 | number_number_of_nat(all_1088_1) = all_1088_0 & nat(all_1088_0) &
% 275.49/45.66 | int(all_1088_1) & int(all_1088_2) & ! [v0: int] : ! [v1:
% 275.49/45.66 | fun_nat_int] : ( ~ (power_power_int(v0) = v1) | ~ int(v0) | ?
% 275.49/45.66 | [v2: int] : ? [v3: fun_int_bool] : ? [v4: bool] :
% 275.49/45.66 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v3 & hAPP_nat_int(v1,
% 275.49/45.66 | all_1088_0) = v2 & hAPP_int_bool(v3, zero_zero_int) = v4 &
% 275.49/45.66 | fun_int_bool(v3) & int(v2) & bool(v4) & ~ hBOOL(v4)))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (567) implies:
% 275.49/45.66 | (568) number_number_of_nat(all_1088_1) = all_1088_0
% 275.49/45.66 | (569) bit0(all_1088_2) = all_1088_1
% 275.49/45.66 | (570) bit1(pls) = all_1088_2
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (176) with fresh symbols all_1091_0, all_1091_1,
% 275.49/45.66 | all_1091_2, all_1091_3, all_1091_4, all_1091_5, all_1091_6 gives:
% 275.49/45.66 | (571) times_times_int(all_1091_3, m) = all_1091_2 &
% 275.49/45.66 | number_number_of_int(all_1091_4) = all_1091_3 & bit1(pls) =
% 275.49/45.66 | all_1091_6 & bit0(all_1091_5) = all_1091_4 & bit0(all_1091_6) =
% 275.49/45.66 | all_1091_5 & plus_plus_int(all_1091_2, one_one_int) = all_1091_1 &
% 275.49/45.66 | hAPP_int_bool(zprime, all_1091_1) = all_1091_0 & int(all_1091_1) &
% 275.49/45.66 | int(all_1091_2) & int(all_1091_3) & int(all_1091_4) & int(all_1091_5)
% 275.49/45.66 | & int(all_1091_6) & bool(all_1091_0) & hBOOL(all_1091_0)
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (571) implies:
% 275.49/45.66 | (572) plus_plus_int(all_1091_2, one_one_int) = all_1091_1
% 275.49/45.66 | (573) bit0(all_1091_6) = all_1091_5
% 275.49/45.66 | (574) bit0(all_1091_5) = all_1091_4
% 275.49/45.66 | (575) bit1(pls) = all_1091_6
% 275.49/45.66 | (576) number_number_of_int(all_1091_4) = all_1091_3
% 275.49/45.66 | (577) times_times_int(all_1091_3, m) = all_1091_2
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (217) with fresh symbol all_1099_0 gives:
% 275.49/45.66 | (578) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1099_0 &
% 275.49/45.66 | fun_int_bool(all_1099_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.66 | fun_int_bool] : ! [v3: bool] : ( ~
% 275.49/45.66 | (hAPP_i1948725293t_bool(dvd_dvd_int, v0) = v2) | ~
% 275.49/45.66 | (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | ~
% 275.49/45.66 | hBOOL(v3) | ? [v4: bool] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 275.49/45.66 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v5 &
% 275.49/45.66 | hAPP_int_bool(v5, v1) = v6 & fun_int_bool(v5) & bool(v6) &
% 275.49/45.66 | hBOOL(v6)) | (hAPP_int_bool(all_1099_0, v1) = v4 & bool(v4) &
% 275.49/45.66 | ~ hBOOL(v4))))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (578) implies:
% 275.49/45.66 | (579) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1099_0
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (62) with fresh symbol all_1102_0 gives:
% 275.49/45.66 | (580) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1102_0 &
% 275.49/45.66 | fun_int_bool(all_1102_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.66 | : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 275.49/45.66 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) | ~
% 275.49/45.66 | (plus_plus_int(v2, v1) = v4) | ~ (hAPP_int_bool(v3, v4) = v5) | ~
% 275.49/45.66 | int(v2) | ~ int(v1) | ~ int(v0) | hBOOL(v5) | ? [v6: bool] : ?
% 275.49/45.66 | [v7: bool] : ((hAPP_int_bool(v3, v1) = v7 & bool(v7) & ~
% 275.49/45.66 | hBOOL(v7)) | (hAPP_int_bool(all_1102_0, v2) = v6 & bool(v6) &
% 275.49/45.66 | ~ hBOOL(v6))))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (580) implies:
% 275.49/45.66 | (581) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1102_0
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (206) with fresh symbols all_1105_0, all_1105_1,
% 275.49/45.66 | all_1105_2, all_1105_3, all_1105_4, all_1105_5, all_1105_6 gives:
% 275.49/45.66 | (582) legendre(all_1105_6, all_1105_0) = one_one_int &
% 275.49/45.66 | times_times_int(all_1105_2, m) = all_1105_1 &
% 275.49/45.66 | number_number_of_int(all_1105_3) = all_1105_2 &
% 275.49/45.66 | number_number_of_int(min) = all_1105_6 & bit1(pls) = all_1105_5 &
% 275.49/45.66 | bit0(all_1105_4) = all_1105_3 & bit0(all_1105_5) = all_1105_4 &
% 275.49/45.66 | plus_plus_int(all_1105_1, one_one_int) = all_1105_0 & int(all_1105_0)
% 275.49/45.66 | & int(all_1105_1) & int(all_1105_2) & int(all_1105_3) &
% 275.49/45.66 | int(all_1105_4) & int(all_1105_5) & int(all_1105_6)
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (582) implies:
% 275.49/45.66 | (583) int(all_1105_1)
% 275.49/45.66 | (584) plus_plus_int(all_1105_1, one_one_int) = all_1105_0
% 275.49/45.66 | (585) bit0(all_1105_5) = all_1105_4
% 275.49/45.66 | (586) bit0(all_1105_4) = all_1105_3
% 275.49/45.66 | (587) bit1(pls) = all_1105_5
% 275.49/45.66 | (588) number_number_of_int(min) = all_1105_6
% 275.49/45.66 | (589) number_number_of_int(all_1105_3) = all_1105_2
% 275.49/45.66 | (590) times_times_int(all_1105_2, m) = all_1105_1
% 275.49/45.66 | (591) legendre(all_1105_6, all_1105_0) = one_one_int
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (178) with fresh symbol all_1107_0 gives:
% 275.49/45.66 | (592) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1107_0 &
% 275.49/45.66 | fun_int_bool(all_1107_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.66 | fun_int_bool] : ! [v3: int] : ! [v4: bool] : (v3 = v1 | ~
% 275.49/45.66 | (minus_minus_int(v0, one_one_int) = v3) | ~
% 275.49/45.66 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) | ~
% 275.49/45.66 | (hAPP_int_bool(v2, v3) = v4) | ~ int(v1) | ~ int(v0) | hBOOL(v4)
% 275.49/45.66 | | ? [v5: bool] : ? [v6: bool] : ((hAPP_int_bool(v2, v0) = v6 &
% 275.49/45.66 | bool(v6) & ~ hBOOL(v6)) | (hAPP_int_bool(all_1107_0, v1) = v5
% 275.49/45.66 | & bool(v5) & ~ hBOOL(v5))))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (592) implies:
% 275.49/45.66 | (593) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1107_0
% 275.49/45.66 |
% 275.49/45.66 | DELTA: instantiating (164) with fresh symbol all_1110_0 gives:
% 275.49/45.66 | (594) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1110_0 &
% 275.49/45.66 | fun_int_bool(all_1110_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.66 | fun_nat_int] : ! [v3: nat] : ! [v4: nat] : ! [v5: int] : ! [v6:
% 275.49/45.66 | int] : ( ~ (nat_1(v1) = v3) | ~ (minus_minus_nat(v3, one_one_nat)
% 275.49/45.66 | = v4) | ~ (times_times_int(v0, v5) = v6) | ~
% 275.49/45.66 | (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v2, v4) = v5) | ~
% 275.49/45.66 | int(v1) | ~ int(v0) | ? [v7: bool] : ? [v8: int] : ((v8 = v6 &
% 275.49/45.66 | hAPP_nat_int(v2, v3) = v6 & int(v6)) |
% 275.49/45.66 | (hAPP_int_bool(all_1110_0, v1) = v7 & bool(v7) & ~ hBOOL(v7))))
% 275.49/45.66 |
% 275.49/45.66 | ALPHA: (594) implies:
% 275.49/45.67 | (595) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1110_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (189) with fresh symbols all_1113_0, all_1113_1,
% 275.49/45.67 | all_1113_2, all_1113_3, all_1113_4 gives:
% 275.49/45.67 | (596) hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = all_1113_4 &
% 275.49/45.67 | number267125858f_real(all_1113_2) = all_1113_1 &
% 275.49/45.67 | power_power_real(all_1113_1) = all_1113_0 & bit1(pls) = all_1113_3 &
% 275.49/45.67 | bit0(all_1113_3) = all_1113_2 & fun_real_bool(all_1113_4) &
% 275.49/45.67 | fun_nat_real(all_1113_0) & real(all_1113_1) & int(all_1113_2) &
% 275.49/45.67 | int(all_1113_3) & ! [v0: nat] : ! [v1: real] : ( ~
% 275.49/45.67 | (hAPP_nat_real(all_1113_0, v0) = v1) | ~ nat(v0) | ? [v2: bool] :
% 275.49/45.67 | (hAPP_real_bool(all_1113_4, v1) = v2 & bool(v2) & hBOOL(v2)))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (596) implies:
% 275.49/45.67 | (597) bit0(all_1113_3) = all_1113_2
% 275.49/45.67 | (598) bit1(pls) = all_1113_3
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (207) with fresh symbol all_1116_0 gives:
% 275.49/45.67 | (599) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1116_0 &
% 275.49/45.67 | fun_int_bool(all_1116_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | fun_int_bool] : ! [v3: bool] : ( ~
% 275.49/45.67 | (hAPP_i1948725293t_bool(dvd_dvd_int, v0) = v2) | ~
% 275.49/45.67 | (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | ~
% 275.49/45.67 | hBOOL(v3) | ? [v4: bool] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 275.49/45.67 | ((hAPP_i1948725293t_bool(ord_less_int, v1) = v5 & hAPP_int_bool(v5,
% 275.49/45.67 | v0) = v6 & fun_int_bool(v5) & bool(v6) & ~ hBOOL(v6)) |
% 275.49/45.67 | (hAPP_int_bool(all_1116_0, v1) = v4 & bool(v4) & ~ hBOOL(v4))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (599) implies:
% 275.49/45.67 | (600) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1116_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (228) with fresh symbol all_1119_0 gives:
% 275.49/45.67 | (601) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1119_0 &
% 275.49/45.67 | fun_int_bool(all_1119_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | fun_int_bool] : ! [v3: bool] : ( ~ (zcong(v1, zero_zero_int) = v2)
% 275.49/45.67 | | ~ (hAPP_int_bool(v2, v0) = v3) | ~ int(v1) | ~ int(v0) | ~
% 275.49/45.67 | hBOOL(v3) | ? [v4: bool] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 275.49/45.67 | ((hAPP_i1948725293t_bool(ord_less_int, v1) = v5 & hAPP_int_bool(v5,
% 275.49/45.67 | v0) = v6 & fun_int_bool(v5) & bool(v6) & ~ hBOOL(v6)) |
% 275.49/45.67 | (hAPP_int_bool(all_1119_0, v1) = v4 & bool(v4) & ~ hBOOL(v4))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (601) implies:
% 275.49/45.67 | (602) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1119_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (183) with fresh symbol all_1122_0 gives:
% 275.49/45.67 | (603) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1122_0 &
% 275.49/45.67 | fun_int_bool(all_1122_0) & ! [v0: int] : ! [v1: int] : ! [v2: nat]
% 275.49/45.67 | : ! [v3: nat] : ! [v4: nat] : ( ~ (times_times_nat(v2, v3) = v4) |
% 275.49/45.67 | ~ (nat_1(v1) = v2) | ~ (nat_1(v0) = v3) | ~ int(v1) | ~ int(v0)
% 275.49/45.67 | | ? [v5: bool] : ? [v6: int] : ? [v7: nat] : ((v7 = v4 &
% 275.49/45.67 | nat_1(v6) = v4 & times_times_int(v1, v0) = v6 & nat(v4) &
% 275.49/45.67 | int(v6)) | (hAPP_int_bool(all_1122_0, v1) = v5 & bool(v5) & ~
% 275.49/45.67 | hBOOL(v5))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (603) implies:
% 275.49/45.67 | (604) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1122_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (204) with fresh symbols all_1125_0, all_1125_1,
% 275.49/45.67 | all_1125_2, all_1125_3, all_1125_4, all_1125_5, all_1125_6 gives:
% 275.49/45.67 | (605) minus_minus_int(all_1125_2, all_1125_1) = all_1125_0 &
% 275.49/45.67 | number_number_of_int(min) = all_1125_1 & bit1(pls) = all_1125_5 &
% 275.49/45.67 | bit0(all_1125_5) = all_1125_4 & number_number_of_nat(all_1125_4) =
% 275.49/45.67 | all_1125_3 & power_power_int(s) = all_1125_6 &
% 275.49/45.67 | hAPP_nat_int(all_1125_6, all_1125_3) = all_1125_2 &
% 275.49/45.67 | plus_plus_int(all_1125_2, one_one_int) = all_1125_0 &
% 275.49/45.67 | fun_nat_int(all_1125_6) & nat(all_1125_3) & int(all_1125_0) &
% 275.49/45.67 | int(all_1125_1) & int(all_1125_2) & int(all_1125_4) & int(all_1125_5)
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (605) implies:
% 275.49/45.67 | (606) number_number_of_nat(all_1125_4) = all_1125_3
% 275.49/45.67 | (607) bit0(all_1125_5) = all_1125_4
% 275.49/45.67 | (608) bit1(pls) = all_1125_5
% 275.49/45.67 | (609) number_number_of_int(min) = all_1125_1
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (247) with fresh symbol all_1130_0 gives:
% 275.49/45.67 | (610) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1130_0 &
% 275.49/45.67 | fun_int_bool(all_1130_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | fun_int_bool] : ! [v3: bool] : (v1 = zero_zero_int | ~ (zcong(v1,
% 275.49/45.67 | zero_zero_int) = v2) | ~ (hAPP_int_bool(v2, v0) = v3) | ~
% 275.49/45.67 | int(v1) | ~ int(v0) | ~ hBOOL(v3) | ? [v4: bool] : ? [v5:
% 275.49/45.67 | fun_int_bool] : ? [v6: bool] :
% 275.49/45.67 | ((hAPP_i1948725293t_bool(ord_less_int, v1) = v5 & hAPP_int_bool(v5,
% 275.49/45.67 | v0) = v6 & fun_int_bool(v5) & bool(v6) & ~ hBOOL(v6)) |
% 275.49/45.67 | (hAPP_int_bool(all_1130_0, v1) = v4 & bool(v4) & ~ hBOOL(v4))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (610) implies:
% 275.49/45.67 | (611) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1130_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (247) with fresh symbol all_1133_0 gives:
% 275.49/45.67 | (612) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1133_0 &
% 275.49/45.67 | fun_int_bool(all_1133_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | fun_int_bool] : ! [v3: bool] : (v1 = zero_zero_int | ~ (zcong(v1,
% 275.49/45.67 | zero_zero_int) = v2) | ~ (hAPP_int_bool(v2, v0) = v3) | ~
% 275.49/45.67 | int(v1) | ~ int(v0) | ~ hBOOL(v3) | ? [v4: bool] : ? [v5:
% 275.49/45.67 | fun_int_bool] : ? [v6: bool] :
% 275.49/45.67 | ((hAPP_i1948725293t_bool(ord_less_int, v1) = v5 & hAPP_int_bool(v5,
% 275.49/45.67 | v0) = v6 & fun_int_bool(v5) & bool(v6) & ~ hBOOL(v6)) |
% 275.49/45.67 | (hAPP_int_bool(all_1133_0, v1) = v4 & bool(v4) & ~ hBOOL(v4))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (612) implies:
% 275.49/45.67 | (613) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1133_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (267) with fresh symbol all_1139_0 gives:
% 275.49/45.67 | (614) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1139_0 &
% 275.49/45.67 | fun_int_bool(all_1139_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.67 | : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: int] : ! [v6: int]
% 275.49/45.67 | : ! [v7: int] : ! [v8: int] : ! [v9: bool] : ( ~ (abs_abs_int(v4)
% 275.49/45.67 | = v5) | ~ (minus_minus_int(v1, v0) = v4) | ~
% 275.49/45.67 | (times_times_int(v6, v2) = v7) | ~
% 275.49/45.67 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) | ~
% 275.49/45.67 | (plus_plus_int(v5, one_one_int) = v6) | ~ (plus_plus_int(v1, v7) =
% 275.49/45.67 | v8) | ~ (hAPP_int_bool(v3, v8) = v9) | ~ int(v2) | ~ int(v1) |
% 275.49/45.67 | ~ int(v0) | hBOOL(v9) | ? [v10: bool] :
% 275.49/45.67 | (hAPP_int_bool(all_1139_0, v2) = v10 & bool(v10) & ~ hBOOL(v10)))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (614) implies:
% 275.49/45.67 | (615) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1139_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (161) with fresh symbols all_1142_0, all_1142_1,
% 275.49/45.67 | all_1142_2, all_1142_3, all_1142_4 gives:
% 275.49/45.67 | (616) bit1(all_1142_4) = all_1142_1 & bit1(pls) = all_1142_4 &
% 275.49/45.67 | bit0(all_1142_4) = all_1142_3 & number_number_of_nat(all_1142_1) =
% 275.49/45.67 | all_1142_0 & number_number_of_nat(all_1142_3) = all_1142_2 &
% 275.49/45.67 | nat(all_1142_0) & nat(all_1142_2) & int(all_1142_1) & int(all_1142_3)
% 275.49/45.67 | & int(all_1142_4) & ! [v0: int] : ! [v1: fun_nat_int] : ! [v2:
% 275.49/45.67 | int] : ! [v3: int] : ( ~ (times_times_int(v0, v2) = v3) | ~
% 275.49/45.67 | (power_power_int(v0) = v1) | ~ (hAPP_nat_int(v1, all_1142_2) = v2)
% 275.49/45.67 | | ~ int(v0) | (hAPP_nat_int(v1, all_1142_0) = v3 & int(v3)))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (616) implies:
% 275.49/45.67 | (617) number_number_of_nat(all_1142_3) = all_1142_2
% 275.49/45.67 | (618) bit0(all_1142_4) = all_1142_3
% 275.49/45.67 | (619) bit1(pls) = all_1142_4
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (153) with fresh symbols all_1145_0, all_1145_1 gives:
% 275.49/45.67 | (620) hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = all_1145_1 &
% 275.49/45.67 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1145_0 &
% 275.49/45.67 | fun_int_bool(all_1145_0) & fun_int_bool(all_1145_1) & ! [v0: int] :
% 275.49/45.67 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1145_1, v0) = v1) | ~ int(v0)
% 275.49/45.67 | | ~ hBOOL(v1) | ? [v2: bool] : (hAPP_int_bool(all_1145_0, v0) =
% 275.49/45.67 | v2 & bool(v2) & hBOOL(v2))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.67 | (hAPP_int_bool(all_1145_1, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.49/45.67 | [v2: bool] : (hAPP_int_bool(all_1145_0, v0) = v2 & bool(v2) & ~
% 275.49/45.67 | hBOOL(v2)))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (620) implies:
% 275.49/45.67 | (621) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1145_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (268) with fresh symbol all_1148_0 gives:
% 275.49/45.67 | (622) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1148_0 &
% 275.49/45.67 | fun_int_bool(all_1148_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.67 | : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : ! [v7:
% 275.49/45.67 | int] : ! [v8: fun_int_bool] : ! [v9: bool] : ( ~ (abs_abs_int(v3)
% 275.49/45.67 | = v4) | ~ (minus_minus_int(v0, v6) = v7) | ~
% 275.49/45.67 | (minus_minus_int(v0, v1) = v3) | ~ (times_times_int(v5, v2) = v6)
% 275.49/45.67 | | ~ (hAPP_i1948725293t_bool(ord_less_int, v7) = v8) | ~
% 275.49/45.67 | (plus_plus_int(v4, one_one_int) = v5) | ~ (hAPP_int_bool(v8, v1) =
% 275.49/45.67 | v9) | ~ int(v2) | ~ int(v1) | ~ int(v0) | hBOOL(v9) | ? [v10:
% 275.49/45.67 | bool] : (hAPP_int_bool(all_1148_0, v2) = v10 & bool(v10) & ~
% 275.49/45.67 | hBOOL(v10)))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (622) implies:
% 275.49/45.67 | (623) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1148_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (88) with fresh symbol all_1154_0 gives:
% 275.49/45.67 | (624) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1154_0 &
% 275.49/45.67 | fun_int_bool(all_1154_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | fun_int_bool] : ! [v3: fun_int_bool] : ( ~
% 275.49/45.67 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) | ~
% 275.49/45.67 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v3) | ~ int(v1) |
% 275.49/45.67 | ~ int(v0) | ? [v4: bool] : ? [v5: bool] : ? [v6: int] : ? [v7:
% 275.49/45.67 | bool] : ((times_times_int(v1, v0) = v6 &
% 275.49/45.67 | hAPP_int_bool(all_1154_0, v6) = v7 & int(v6) & bool(v7) &
% 275.49/45.67 | hBOOL(v7)) | (hAPP_int_bool(v3, zero_zero_int) = v5 & bool(v5)
% 275.49/45.67 | & ~ hBOOL(v5)) | (hAPP_int_bool(v2, zero_zero_int) = v4 &
% 275.49/45.67 | bool(v4) & ~ hBOOL(v4))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (624) implies:
% 275.49/45.67 | (625) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1154_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (131) with fresh symbol all_1157_0 gives:
% 275.49/45.67 | (626) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1157_0 &
% 275.49/45.67 | fun_int_bool(all_1157_0) & ! [v0: nat] : ! [v1: int] : ! [v2: nat]
% 275.49/45.67 | : ! [v3: fun_nat_nat] : ! [v4: nat] : ( ~ (nat_1(v1) = v2) | ~
% 275.49/45.67 | (power_power_nat(v2) = v3) | ~ (hAPP_nat_nat(v3, v0) = v4) | ~
% 275.49/45.67 | nat(v0) | ~ int(v1) | ? [v5: bool] : ? [v6: fun_nat_int] : ?
% 275.49/45.67 | [v7: int] : ? [v8: nat] : ((v8 = v4 & nat_1(v7) = v4 &
% 275.49/45.67 | power_power_int(v1) = v6 & hAPP_nat_int(v6, v0) = v7 &
% 275.49/45.67 | fun_nat_int(v6) & nat(v4) & int(v7)) |
% 275.49/45.67 | (hAPP_int_bool(all_1157_0, v1) = v5 & bool(v5) & ~ hBOOL(v5))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (626) implies:
% 275.49/45.67 | (627) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1157_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (91) with fresh symbol all_1160_0 gives:
% 275.49/45.67 | (628) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1160_0 &
% 275.49/45.67 | fun_int_bool(all_1160_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | bool] : ! [v3: fun_int_bool] : ( ~
% 275.49/45.67 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v3) | ~
% 275.49/45.67 | (hAPP_int_bool(all_1160_0, v1) = v2) | ~ int(v1) | ~ int(v0) | ~
% 275.49/45.67 | hBOOL(v2) | ? [v4: bool] : ? [v5: int] : ? [v6: fun_int_bool] :
% 275.49/45.67 | ? [v7: bool] : ((times_times_int(v1, v0) = v5 &
% 275.49/45.67 | hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6 &
% 275.49/45.67 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 275.49/45.67 | int(v5) & bool(v7) & hBOOL(v7)) | (hAPP_int_bool(v3,
% 275.49/45.67 | zero_zero_int) = v4 & bool(v4) & ~ hBOOL(v4))))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (628) implies:
% 275.49/45.67 | (629) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1160_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (80) with fresh symbol all_1163_0 gives:
% 275.49/45.67 | (630) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1163_0 &
% 275.49/45.67 | fun_int_bool(all_1163_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1163_0, v1) = v2) |
% 275.49/45.67 | ~ (hAPP_int_bool(all_1163_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.67 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: nat] : ? [v5: nat] : ? [v6:
% 275.49/45.67 | nat] : ? [v7: int] : (times_times_nat(v4, v5) = v6 &
% 275.49/45.67 | times_times_int(v1, v0) = v7 & number_number_of_nat(v7) = v6 &
% 275.49/45.67 | number_number_of_nat(v1) = v4 & number_number_of_nat(v0) = v5 &
% 275.49/45.67 | nat(v6) & nat(v5) & nat(v4) & int(v7)))
% 275.49/45.67 |
% 275.49/45.67 | ALPHA: (630) implies:
% 275.49/45.67 | (631) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1163_0
% 275.49/45.67 |
% 275.49/45.67 | DELTA: instantiating (79) with fresh symbol all_1166_0 gives:
% 275.49/45.67 | (632) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1166_0 &
% 275.49/45.67 | fun_int_bool(all_1166_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.67 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1166_0, v1) = v2) |
% 275.49/45.67 | ~ (hAPP_int_bool(all_1166_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.67 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: real] : ? [v5: real] : ?
% 275.49/45.67 | [v6: real] : ? [v7: int] : (times_times_real(v4, v5) = v6 &
% 275.49/45.67 | times_times_int(v1, v0) = v7 & number267125858f_real(v7) = v6 &
% 275.49/45.67 | number267125858f_real(v1) = v4 & number267125858f_real(v0) = v5 &
% 275.49/45.67 | real(v6) & real(v5) & real(v4) & int(v7)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (632) implies:
% 275.49/45.68 | (633) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1166_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (54) with fresh symbols all_1169_0, all_1169_1 gives:
% 275.49/45.68 | (634) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1169_0 &
% 275.49/45.68 | hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1169_1 &
% 275.49/45.68 | fun_nat_bool(all_1169_0) & fun_int_bool(all_1169_1) & ! [v0: nat] :
% 275.49/45.68 | ! [v1: int] : ! [v2: bool] : ! [v3: bool] : ( ~
% 275.49/45.68 | (hAPP_nat_bool(all_1169_0, v0) = v3) | ~
% 275.49/45.68 | (hAPP_int_bool(all_1169_1, v1) = v2) | ~ nat(v0) | ~ int(v1) | ~
% 275.49/45.68 | hBOOL(v3) | ~ hBOOL(v2) | ? [v4: fun_nat_int] : ? [v5: int] : ?
% 275.49/45.68 | [v6: bool] : (power_power_int(v1) = v4 & hAPP_nat_int(v4, v0) = v5
% 275.49/45.68 | & hAPP_int_bool(all_1169_1, v5) = v6 & fun_nat_int(v4) & int(v5)
% 275.49/45.68 | & bool(v6) & hBOOL(v6)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (634) implies:
% 275.49/45.68 | (635) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1169_1
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (171) with fresh symbols all_1172_0, all_1172_1,
% 275.49/45.68 | all_1172_2, all_1172_3, all_1172_4, all_1172_5, all_1172_6, all_1172_7
% 275.49/45.68 | gives:
% 275.49/45.68 | (636) times_times_int(all_1172_3, m) = all_1172_2 &
% 275.49/45.68 | number_number_of_int(all_1172_4) = all_1172_3 & bit1(pls) =
% 275.49/45.68 | all_1172_6 & bit0(all_1172_5) = all_1172_4 & bit0(all_1172_6) =
% 275.49/45.68 | all_1172_5 & hAPP_i1948725293t_bool(ord_less_int, t) = all_1172_7 &
% 275.49/45.68 | plus_plus_int(all_1172_2, one_one_int) = all_1172_1 &
% 275.49/45.68 | hAPP_int_bool(all_1172_7, all_1172_1) = all_1172_0 &
% 275.49/45.68 | fun_int_bool(all_1172_7) & int(all_1172_1) & int(all_1172_2) &
% 275.49/45.68 | int(all_1172_3) & int(all_1172_4) & int(all_1172_5) & int(all_1172_6)
% 275.49/45.68 | & bool(all_1172_0) & hBOOL(all_1172_0)
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (636) implies:
% 275.49/45.68 | (637) hBOOL(all_1172_0)
% 275.49/45.68 | (638) hAPP_int_bool(all_1172_7, all_1172_1) = all_1172_0
% 275.49/45.68 | (639) plus_plus_int(all_1172_2, one_one_int) = all_1172_1
% 275.49/45.68 | (640) hAPP_i1948725293t_bool(ord_less_int, t) = all_1172_7
% 275.49/45.68 | (641) bit0(all_1172_6) = all_1172_5
% 275.49/45.68 | (642) bit0(all_1172_5) = all_1172_4
% 275.49/45.68 | (643) bit1(pls) = all_1172_6
% 275.49/45.68 | (644) number_number_of_int(all_1172_4) = all_1172_3
% 275.49/45.68 | (645) times_times_int(all_1172_3, m) = all_1172_2
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (170) with fresh symbols all_1174_0, all_1174_1,
% 275.49/45.68 | all_1174_2, all_1174_3, all_1174_4, all_1174_5, all_1174_6, all_1174_7
% 275.49/45.68 | gives:
% 275.49/45.68 | (646) times_times_int(all_1174_3, m) = all_1174_2 &
% 275.49/45.68 | number_number_of_int(all_1174_4) = all_1174_3 & bit1(pls) =
% 275.49/45.68 | all_1174_6 & bit0(all_1174_5) = all_1174_4 & bit0(all_1174_6) =
% 275.49/45.68 | all_1174_5 & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) =
% 275.49/45.68 | all_1174_7 & plus_plus_int(all_1174_2, one_one_int) = all_1174_1 &
% 275.49/45.68 | hAPP_int_bool(all_1174_7, all_1174_1) = all_1174_0 &
% 275.49/45.68 | fun_int_bool(all_1174_7) & int(all_1174_1) & int(all_1174_2) &
% 275.49/45.68 | int(all_1174_3) & int(all_1174_4) & int(all_1174_5) & int(all_1174_6)
% 275.49/45.68 | & bool(all_1174_0) & hBOOL(all_1174_0)
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (646) implies:
% 275.49/45.68 | (647) hBOOL(all_1174_0)
% 275.49/45.68 | (648) hAPP_int_bool(all_1174_7, all_1174_1) = all_1174_0
% 275.49/45.68 | (649) plus_plus_int(all_1174_2, one_one_int) = all_1174_1
% 275.49/45.68 | (650) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1174_7
% 275.49/45.68 | (651) bit0(all_1174_6) = all_1174_5
% 275.49/45.68 | (652) bit0(all_1174_5) = all_1174_4
% 275.49/45.68 | (653) bit1(pls) = all_1174_6
% 275.49/45.68 | (654) number_number_of_int(all_1174_4) = all_1174_3
% 275.49/45.68 | (655) times_times_int(all_1174_3, m) = all_1174_2
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (129) with fresh symbol all_1176_0 gives:
% 275.49/45.68 | (656) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1176_0 &
% 275.49/45.68 | fun_int_bool(all_1176_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.68 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1176_0, v1) = v2) |
% 275.49/45.68 | ~ (hAPP_int_bool(all_1176_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.68 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: int] : ? [v5: nat] : ? [v6:
% 275.49/45.68 | nat] : ? [v7: nat] : (nat_1(v4) = v5 & nat_1(v1) = v6 &
% 275.49/45.68 | nat_1(v0) = v7 & plus_plus_nat(v6, v7) = v5 & plus_plus_int(v1,
% 275.49/45.68 | v0) = v4 & nat(v7) & nat(v6) & nat(v5) & int(v4)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (656) implies:
% 275.49/45.68 | (657) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1176_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (262) with fresh symbols all_1179_0, all_1179_1,
% 275.49/45.68 | all_1179_2 gives:
% 275.49/45.68 | (658) bit1(all_1179_2) = all_1179_1 & bit1(pls) = all_1179_2 &
% 275.49/45.68 | number_number_of_nat(all_1179_1) = all_1179_0 & nat(all_1179_0) &
% 275.49/45.68 | int(all_1179_1) & int(all_1179_2) & ! [v0: int] : ! [v1: int] : ( ~
% 275.49/45.68 | (abs_abs_int(v0) = v1) | ~ int(v0) | ? [v2: fun_nat_int] : ?
% 275.49/45.68 | [v3: int] : ? [v4: int] : ? [v5: fun_nat_int] : (abs_abs_int(v3)
% 275.49/45.68 | = v4 & power_power_int(v1) = v5 & power_power_int(v0) = v2 &
% 275.49/45.68 | hAPP_nat_int(v5, all_1179_0) = v4 & hAPP_nat_int(v2, all_1179_0)
% 275.49/45.68 | = v3 & fun_nat_int(v5) & fun_nat_int(v2) & int(v4) & int(v3)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (658) implies:
% 275.49/45.68 | (659) bit1(pls) = all_1179_2
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (131) with fresh symbol all_1182_0 gives:
% 275.49/45.68 | (660) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1182_0 &
% 275.49/45.68 | fun_int_bool(all_1182_0) & ! [v0: nat] : ! [v1: int] : ! [v2: nat]
% 275.49/45.68 | : ! [v3: fun_nat_nat] : ! [v4: nat] : ( ~ (nat_1(v1) = v2) | ~
% 275.49/45.68 | (power_power_nat(v2) = v3) | ~ (hAPP_nat_nat(v3, v0) = v4) | ~
% 275.49/45.68 | nat(v0) | ~ int(v1) | ? [v5: bool] : ? [v6: fun_nat_int] : ?
% 275.49/45.68 | [v7: int] : ? [v8: nat] : ((v8 = v4 & nat_1(v7) = v4 &
% 275.49/45.68 | power_power_int(v1) = v6 & hAPP_nat_int(v6, v0) = v7 &
% 275.49/45.68 | fun_nat_int(v6) & nat(v4) & int(v7)) |
% 275.49/45.68 | (hAPP_int_bool(all_1182_0, v1) = v5 & bool(v5) & ~ hBOOL(v5))))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (660) implies:
% 275.49/45.68 | (661) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1182_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (81) with fresh symbol all_1185_0 gives:
% 275.49/45.68 | (662) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1185_0 &
% 275.49/45.68 | fun_int_bool(all_1185_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.68 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1185_0, v1) = v2) |
% 275.49/45.68 | ~ (hAPP_int_bool(all_1185_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.68 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: int] : ? [v5: int] : ? [v6:
% 275.49/45.68 | int] : ? [v7: int] : (times_times_int(v4, v5) = v6 &
% 275.49/45.68 | times_times_int(v1, v0) = v7 & number_number_of_int(v7) = v6 &
% 275.49/45.68 | number_number_of_int(v1) = v4 & number_number_of_int(v0) = v5 &
% 275.49/45.68 | int(v7) & int(v6) & int(v5) & int(v4)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (662) implies:
% 275.49/45.68 | (663) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1185_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (184) with fresh symbol all_1188_0 gives:
% 275.49/45.68 | (664) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1188_0 &
% 275.49/45.68 | fun_int_bool(all_1188_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.68 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1188_0, v1) = v2) |
% 275.49/45.68 | ~ (hAPP_int_bool(all_1188_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.68 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: nat] : ? [v5: nat] : ? [v6:
% 275.49/45.68 | nat] : ? [v7: int] : (times_times_nat(v4, v5) = v6 & nat_1(v7) =
% 275.49/45.68 | v6 & nat_1(v1) = v4 & nat_1(v0) = v5 & times_times_int(v1, v0) =
% 275.49/45.68 | v7 & nat(v6) & nat(v5) & nat(v4) & int(v7)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (664) implies:
% 275.49/45.68 | (665) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1188_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (264) with fresh symbols all_1194_0, all_1194_1,
% 275.49/45.68 | all_1194_2 gives:
% 275.49/45.68 | (666) bit1(pls) = all_1194_2 & bit0(all_1194_2) = all_1194_1 &
% 275.49/45.68 | number_number_of_nat(all_1194_1) = all_1194_0 & nat(all_1194_0) &
% 275.49/45.68 | int(all_1194_1) & int(all_1194_2) & ! [v0: int] : ! [v1: int] : ( ~
% 275.49/45.68 | (abs_abs_int(v0) = v1) | ~ int(v0) | ? [v2: fun_nat_int] : ?
% 275.49/45.68 | [v3: int] : ? [v4: int] : ? [v5: fun_nat_int] : (abs_abs_int(v3)
% 275.49/45.68 | = v4 & power_power_int(v1) = v5 & power_power_int(v0) = v2 &
% 275.49/45.68 | hAPP_nat_int(v5, all_1194_0) = v4 & hAPP_nat_int(v2, all_1194_0)
% 275.49/45.68 | = v3 & fun_nat_int(v5) & fun_nat_int(v2) & int(v4) & int(v3)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (666) implies:
% 275.49/45.68 | (667) number_number_of_nat(all_1194_1) = all_1194_0
% 275.49/45.68 | (668) bit0(all_1194_2) = all_1194_1
% 275.49/45.68 | (669) bit1(pls) = all_1194_2
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (128) with fresh symbol all_1197_0 gives:
% 275.49/45.68 | (670) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1197_0 &
% 275.49/45.68 | fun_int_bool(all_1197_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.68 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1197_0, v1) = v2) |
% 275.49/45.68 | ~ (hAPP_int_bool(all_1197_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.68 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: nat] : ? [v5: nat] : ? [v6:
% 275.49/45.68 | nat] : ? [v7: int] : (nat_1(v7) = v6 & nat_1(v1) = v4 &
% 275.49/45.68 | nat_1(v0) = v5 & plus_plus_nat(v4, v5) = v6 & plus_plus_int(v1,
% 275.49/45.68 | v0) = v7 & nat(v6) & nat(v5) & nat(v4) & int(v7)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (670) implies:
% 275.49/45.68 | (671) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1197_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (172) with fresh symbols all_1209_0, all_1209_1,
% 275.49/45.68 | all_1209_2, all_1209_3, all_1209_4, all_1209_5, all_1209_6, all_1209_7
% 275.49/45.68 | gives:
% 275.49/45.68 | (672) times_times_int(all_1209_2, t) = all_1209_1 &
% 275.49/45.68 | times_times_int(all_1209_4, m) = all_1209_3 &
% 275.49/45.68 | number_number_of_int(all_1209_5) = all_1209_4 & bit1(pls) =
% 275.49/45.68 | all_1209_7 & bit0(all_1209_6) = all_1209_5 & bit0(all_1209_7) =
% 275.49/45.68 | all_1209_6 & plus_plus_int(all_1209_3, one_one_int) = all_1209_2 &
% 275.49/45.68 | hAPP_int_bool(twoSqu820444569sum2sq, all_1209_1) = all_1209_0 &
% 275.49/45.68 | int(all_1209_1) & int(all_1209_2) & int(all_1209_3) & int(all_1209_4)
% 275.49/45.68 | & int(all_1209_5) & int(all_1209_6) & int(all_1209_7) &
% 275.49/45.68 | bool(all_1209_0) & hBOOL(all_1209_0)
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (672) implies:
% 275.49/45.68 | (673) plus_plus_int(all_1209_3, one_one_int) = all_1209_2
% 275.49/45.68 | (674) bit0(all_1209_7) = all_1209_6
% 275.49/45.68 | (675) bit0(all_1209_6) = all_1209_5
% 275.49/45.68 | (676) bit1(pls) = all_1209_7
% 275.49/45.68 | (677) number_number_of_int(all_1209_5) = all_1209_4
% 275.49/45.68 | (678) times_times_int(all_1209_4, m) = all_1209_3
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (89) with fresh symbol all_1214_0 gives:
% 275.49/45.68 | (679) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1214_0 &
% 275.49/45.68 | fun_int_bool(all_1214_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.68 | fun_int_bool] : ! [v3: bool] : ( ~
% 275.49/45.68 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v2) | ~
% 275.49/45.68 | (hAPP_int_bool(all_1214_0, v0) = v3) | ~ int(v1) | ~ int(v0) | ~
% 275.49/45.68 | hBOOL(v3) | ? [v4: bool] : ? [v5: int] : ? [v6: fun_int_bool] :
% 275.49/45.68 | ? [v7: bool] : ((times_times_int(v1, v0) = v5 &
% 275.49/45.68 | hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6 &
% 275.49/45.68 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 275.49/45.68 | int(v5) & bool(v7) & hBOOL(v7)) | (hAPP_int_bool(v2,
% 275.49/45.68 | zero_zero_int) = v4 & bool(v4) & ~ hBOOL(v4))))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (679) implies:
% 275.49/45.68 | (680) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1214_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (90) with fresh symbol all_1229_0 gives:
% 275.49/45.68 | (681) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1229_0 &
% 275.49/45.68 | fun_int_bool(all_1229_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.68 | bool] : ! [v3: fun_int_bool] : ( ~
% 275.49/45.68 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v3) | ~
% 275.49/45.68 | (hAPP_int_bool(all_1229_0, v1) = v2) | ~ int(v1) | ~ int(v0) | ~
% 275.49/45.68 | hBOOL(v2) | ? [v4: bool] : ? [v5: int] : ? [v6: fun_int_bool] :
% 275.49/45.68 | ? [v7: bool] : ((times_times_int(v0, v1) = v5 &
% 275.49/45.68 | hAPP_i1948725293t_bool(ord_less_eq_int, v5) = v6 &
% 275.49/45.68 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 275.49/45.68 | int(v5) & bool(v7) & hBOOL(v7)) | (hAPP_int_bool(v3,
% 275.49/45.68 | zero_zero_int) = v4 & bool(v4) & ~ hBOOL(v4))))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (681) implies:
% 275.49/45.68 | (682) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1229_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (209) with fresh symbol all_1244_0 gives:
% 275.49/45.68 | (683) hAPP_i1948725293t_bool(ord_less_int, min) = all_1244_0 &
% 275.49/45.68 | fun_int_bool(all_1244_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.68 | (hAPP_int_bool(all_1244_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.68 | ? [v2: int] : ? [v3: bool] : (bit1(v0) = v2 &
% 275.49/45.68 | hAPP_int_bool(all_1244_0, v2) = v3 & int(v2) & bool(v3) &
% 275.49/45.68 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.68 | (hAPP_int_bool(all_1244_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.49/45.68 | [v2: int] : ? [v3: bool] : (bit1(v0) = v2 &
% 275.49/45.68 | hAPP_int_bool(all_1244_0, v2) = v3 & int(v2) & bool(v3) & ~
% 275.49/45.68 | hBOOL(v3)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (683) implies:
% 275.49/45.68 | (684) hAPP_i1948725293t_bool(ord_less_int, min) = all_1244_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (24) with fresh symbol all_1247_0 gives:
% 275.49/45.68 | (685) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1247_0 &
% 275.49/45.68 | fun_int_bool(all_1247_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.68 | (hAPP_int_bool(all_1247_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.68 | ? [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.49/45.68 | hAPP_int_bool(all_1247_0, v2) = v3 & int(v2) & bool(v3) &
% 275.49/45.68 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.68 | (hAPP_int_bool(all_1247_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.49/45.68 | [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.49/45.68 | hAPP_int_bool(all_1247_0, v2) = v3 & int(v2) & bool(v3) & ~
% 275.49/45.68 | hBOOL(v3)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (685) implies:
% 275.49/45.68 | (686) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1247_0
% 275.49/45.68 |
% 275.49/45.68 | DELTA: instantiating (163) with fresh symbols all_1250_0, all_1250_1,
% 275.49/45.68 | all_1250_2, all_1250_3 gives:
% 275.49/45.68 | (687) number_number_of_int(all_1250_1) = all_1250_0 & bit1(pls) =
% 275.49/45.68 | all_1250_2 & bit0(all_1250_2) = all_1250_1 &
% 275.49/45.68 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1250_3 &
% 275.49/45.68 | fun_int_bool(all_1250_3) & int(all_1250_0) & int(all_1250_1) &
% 275.49/45.68 | int(all_1250_2) & ! [v0: int] : ! [v1: bool] : (v0 = zero_zero_int
% 275.49/45.68 | | v0 = one_one_int | ~ (hAPP_int_bool(all_1250_3, v0) = v1) | ~
% 275.49/45.68 | int(v0) | ~ hBOOL(v1) | ? [v2: fun_int_bool] : ? [v3: bool] :
% 275.49/45.68 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v2 & hAPP_int_bool(v2,
% 275.49/45.68 | all_1250_0) = v3 & fun_int_bool(v2) & bool(v3) & ~ hBOOL(v3)))
% 275.49/45.68 |
% 275.49/45.68 | ALPHA: (687) implies:
% 275.49/45.69 | (688) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1250_3
% 275.49/45.69 | (689) bit0(all_1250_2) = all_1250_1
% 275.49/45.69 | (690) bit1(pls) = all_1250_2
% 275.49/45.69 | (691) number_number_of_int(all_1250_1) = all_1250_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (139) with fresh symbol all_1253_0 gives:
% 275.49/45.69 | (692) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1253_0 &
% 275.49/45.69 | fun_int_bool(all_1253_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.69 | (hAPP_int_bool(all_1253_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.69 | ? [v2: int] : ? [v3: bool] : (bit1(v0) = v2 &
% 275.49/45.69 | hAPP_int_bool(all_1253_0, v2) = v3 & int(v2) & bool(v3) &
% 275.49/45.69 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.69 | (hAPP_int_bool(all_1253_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.49/45.69 | [v2: int] : ? [v3: bool] : (bit1(v0) = v2 &
% 275.49/45.69 | hAPP_int_bool(all_1253_0, v2) = v3 & int(v2) & bool(v3) & ~
% 275.49/45.69 | hBOOL(v3)))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (692) implies:
% 275.49/45.69 | (693) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1253_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (140) with fresh symbol all_1256_0 gives:
% 275.49/45.69 | (694) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1256_0 &
% 275.49/45.69 | fun_int_bool(all_1256_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.69 | (hAPP_int_bool(all_1256_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.69 | ? [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.49/45.69 | hAPP_int_bool(all_1256_0, v2) = v3 & int(v2) & bool(v3) &
% 275.49/45.69 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.69 | (hAPP_int_bool(all_1256_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.49/45.69 | [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.49/45.69 | hAPP_int_bool(all_1256_0, v2) = v3 & int(v2) & bool(v3) & ~
% 275.49/45.69 | hBOOL(v3)))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (694) implies:
% 275.49/45.69 | (695) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1256_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (142) with fresh symbol all_1259_0 gives:
% 275.49/45.69 | (696) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1259_0 &
% 275.49/45.69 | fun_int_bool(all_1259_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.69 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.69 | : ( ~ (times_times_int(v0, v2) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.69 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~
% 275.49/45.69 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.69 | | hBOOL(v6) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: bool]
% 275.49/45.69 | : ((hAPP_i1948725293t_bool(ord_less_int, v1) = v7 &
% 275.49/45.69 | hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 275.49/45.69 | hBOOL(v8)) | (hAPP_int_bool(all_1259_0, v0) = v9 & bool(v9) &
% 275.49/45.69 | ~ hBOOL(v9))))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (696) implies:
% 275.49/45.69 | (697) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1259_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (212) with fresh symbol all_1262_0 gives:
% 275.49/45.69 | (698) hAPP_i1948725293t_bool(ord_less_int, min) = all_1262_0 &
% 275.49/45.69 | fun_int_bool(all_1262_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.69 | (hAPP_int_bool(all_1262_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.69 | ? [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.49/45.69 | hAPP_int_bool(all_1262_0, v2) = v3 & int(v2) & bool(v3) &
% 275.49/45.69 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.69 | (hAPP_int_bool(all_1262_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.49/45.69 | [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.49/45.69 | hAPP_int_bool(all_1262_0, v2) = v3 & int(v2) & bool(v3) & ~
% 275.49/45.69 | hBOOL(v3)))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (698) implies:
% 275.49/45.69 | (699) hAPP_i1948725293t_bool(ord_less_int, min) = all_1262_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (92) with fresh symbol all_1268_0 gives:
% 275.49/45.69 | (700) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1268_0 &
% 275.49/45.69 | fun_int_bool(all_1268_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.69 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1268_0, v1) = v2) |
% 275.49/45.69 | ~ (hAPP_int_bool(all_1268_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.69 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: nat] : ? [v5: nat] : (( ~ (v1
% 275.49/45.69 | = v0) | (v5 = v4 & nat_1(v0) = v4 & nat(v4))) & (v1 = v0 | (
% 275.49/45.69 | ~ (v5 = v4) & nat_1(v1) = v4 & nat_1(v0) = v5 & nat(v5) &
% 275.49/45.69 | nat(v4)))))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (700) implies:
% 275.49/45.69 | (701) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1268_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (92) with fresh symbol all_1271_0 gives:
% 275.49/45.69 | (702) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1271_0 &
% 275.49/45.69 | fun_int_bool(all_1271_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.49/45.69 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1271_0, v1) = v2) |
% 275.49/45.69 | ~ (hAPP_int_bool(all_1271_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.49/45.69 | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4: nat] : ? [v5: nat] : (( ~ (v1
% 275.49/45.69 | = v0) | (v5 = v4 & nat_1(v0) = v4 & nat(v4))) & (v1 = v0 | (
% 275.49/45.69 | ~ (v5 = v4) & nat_1(v1) = v4 & nat_1(v0) = v5 & nat(v5) &
% 275.49/45.69 | nat(v4)))))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (702) implies:
% 275.49/45.69 | (703) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1271_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (43) with fresh symbols all_1274_0, all_1274_1,
% 275.49/45.69 | all_1274_2 gives:
% 275.49/45.69 | (704) bit1(pls) = all_1274_2 & bit0(all_1274_2) = all_1274_1 &
% 275.49/45.69 | number_number_of_nat(all_1274_1) = all_1274_0 & nat(all_1274_0) &
% 275.49/45.69 | int(all_1274_1) & int(all_1274_2) & ! [v0: real] : ! [v1: real] :
% 275.49/45.69 | ! [v2: fun_nat_real] : ! [v3: real] : ! [v4: fun_nat_real] : !
% 275.49/45.69 | [v5: real] : ! [v6: real] : ( ~ (power_power_real(v1) = v4) | ~
% 275.49/45.69 | (power_power_real(v0) = v2) | ~ (hAPP_nat_real(v4, all_1274_0) =
% 275.49/45.69 | v5) | ~ (hAPP_nat_real(v2, all_1274_0) = v3) | ~
% 275.49/45.69 | (plus_plus_real(v3, v5) = v6) | ~ real(v1) | ~ real(v0) | ? [v7:
% 275.49/45.69 | fun_real_bool] : ? [v8: bool] :
% 275.49/45.69 | (hAPP_r1134773055l_bool(ord_less_real, v6) = v7 &
% 275.49/45.69 | hAPP_real_bool(v7, zero_zero_real) = v8 & fun_real_bool(v7) &
% 275.49/45.69 | bool(v8) & ~ hBOOL(v8)))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (704) implies:
% 275.49/45.69 | (705) number_number_of_nat(all_1274_1) = all_1274_0
% 275.49/45.69 | (706) bit0(all_1274_2) = all_1274_1
% 275.49/45.69 | (707) bit1(pls) = all_1274_2
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (102) with fresh symbol all_1280_0 gives:
% 275.49/45.69 | (708) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1280_0 &
% 275.49/45.69 | fun_int_bool(all_1280_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.69 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.69 | : ( ~ (times_times_int(v2, v1) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.69 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~
% 275.49/45.69 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.69 | | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9:
% 275.49/45.69 | bool] : ((hAPP_i1948725293t_bool(ord_less_int, v0) = v8 &
% 275.49/45.69 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.49/45.69 | hBOOL(v9)) | (hAPP_int_bool(all_1280_0, v1) = v7 & bool(v7) &
% 275.49/45.69 | ~ hBOOL(v7))))
% 275.49/45.69 |
% 275.49/45.69 | ALPHA: (708) implies:
% 275.49/45.69 | (709) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1280_0
% 275.49/45.69 |
% 275.49/45.69 | DELTA: instantiating (86) with fresh symbol all_1286_0 gives:
% 275.49/45.70 | (710) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1286_0 &
% 275.49/45.70 | fun_int_bool(all_1286_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.70 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.70 | : ( ~ (times_times_int(v0, v2) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.70 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 275.49/45.70 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.70 | | hBOOL(v6) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: bool]
% 275.49/45.70 | : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 275.49/45.70 | hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 275.49/45.70 | hBOOL(v8)) | (hAPP_int_bool(all_1286_0, v0) = v9 & bool(v9) &
% 275.49/45.70 | ~ hBOOL(v9))))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (710) implies:
% 275.49/45.70 | (711) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1286_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (99) with fresh symbol all_1292_0 gives:
% 275.49/45.70 | (712) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1292_0 &
% 275.49/45.70 | fun_int_bool(all_1292_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.70 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.70 | : ( ~ (times_times_int(v0, v2) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.70 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 275.49/45.70 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.70 | | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9:
% 275.49/45.70 | bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 &
% 275.49/45.70 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.49/45.70 | hBOOL(v9)) | (hAPP_int_bool(all_1292_0, v0) = v7 & bool(v7) &
% 275.49/45.70 | ~ hBOOL(v7))))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (712) implies:
% 275.49/45.70 | (713) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1292_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (100) with fresh symbol all_1316_0 gives:
% 275.49/45.70 | (714) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1316_0 &
% 275.49/45.70 | fun_int_bool(all_1316_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.70 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.70 | : ( ~ (times_times_int(v2, v1) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.70 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 275.49/45.70 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.70 | | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9:
% 275.49/45.70 | bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v8 &
% 275.49/45.70 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.49/45.70 | hBOOL(v9)) | (hAPP_int_bool(all_1316_0, v1) = v7 & bool(v7) &
% 275.49/45.70 | ~ hBOOL(v7))))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (714) implies:
% 275.49/45.70 | (715) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1316_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (72) with fresh symbol all_1322_0 gives:
% 275.49/45.70 | (716) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1322_0 &
% 275.49/45.70 | fun_int_bool(all_1322_0) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.70 | (hAPP_int_bool(all_1322_0, v0) = v1) | ~ int(v0) | ~ hBOOL(v1) |
% 275.49/45.70 | ? [v2: int] : ? [v3: bool] : (plus_plus_int(v0, v0) = v2 &
% 275.49/45.70 | hAPP_int_bool(all_1322_0, v2) = v3 & int(v2) & bool(v3) &
% 275.49/45.70 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.49/45.70 | (hAPP_int_bool(all_1322_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.49/45.70 | [v2: int] : ? [v3: bool] : (plus_plus_int(v0, v0) = v2 &
% 275.49/45.70 | hAPP_int_bool(all_1322_0, v2) = v3 & int(v2) & bool(v3) & ~
% 275.49/45.70 | hBOOL(v3)))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (716) implies:
% 275.49/45.70 | (717) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1322_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (102) with fresh symbol all_1331_0 gives:
% 275.49/45.70 | (718) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1331_0 &
% 275.49/45.70 | fun_int_bool(all_1331_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.70 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.70 | : ( ~ (times_times_int(v2, v1) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.70 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~
% 275.49/45.70 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.70 | | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9:
% 275.49/45.70 | bool] : ((hAPP_i1948725293t_bool(ord_less_int, v0) = v8 &
% 275.49/45.70 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.49/45.70 | hBOOL(v9)) | (hAPP_int_bool(all_1331_0, v1) = v7 & bool(v7) &
% 275.49/45.70 | ~ hBOOL(v7))))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (718) implies:
% 275.49/45.70 | (719) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1331_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (241) with fresh symbols all_1337_0, all_1337_1,
% 275.49/45.70 | all_1337_2, all_1337_3, all_1337_4, all_1337_5 gives:
% 275.49/45.70 | (720) zcong(one_one_int, all_1337_1) = all_1337_0 &
% 275.49/45.70 | number_number_of_int(all_1337_4) = all_1337_3 &
% 275.49/45.70 | number_number_of_int(min) = all_1337_1 & bit1(pls) = all_1337_5 &
% 275.49/45.70 | bit0(all_1337_5) = all_1337_4 & hAPP_i1948725293t_bool(ord_less_int,
% 275.49/45.70 | all_1337_3) = all_1337_2 & fun_int_bool(all_1337_0) &
% 275.49/45.70 | fun_int_bool(all_1337_2) & int(all_1337_1) & int(all_1337_3) &
% 275.49/45.70 | int(all_1337_4) & int(all_1337_5) & ! [v0: int] : ! [v1: bool] : (
% 275.49/45.70 | ~ (hAPP_int_bool(all_1337_2, v0) = v1) | ~ int(v0) | ~ hBOOL(v1)
% 275.49/45.70 | | ? [v2: bool] : (hAPP_int_bool(all_1337_0, v0) = v2 & bool(v2) &
% 275.49/45.70 | ~ hBOOL(v2)))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (720) implies:
% 275.49/45.70 | (721) bit0(all_1337_5) = all_1337_4
% 275.49/45.70 | (722) bit1(pls) = all_1337_5
% 275.49/45.70 | (723) number_number_of_int(min) = all_1337_1
% 275.49/45.70 | (724) number_number_of_int(all_1337_4) = all_1337_3
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (101) with fresh symbol all_1340_0 gives:
% 275.49/45.70 | (725) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1340_0 &
% 275.49/45.70 | fun_int_bool(all_1340_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.70 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.70 | : ( ~ (times_times_int(v0, v2) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.70 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~
% 275.49/45.70 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.70 | | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9:
% 275.49/45.70 | bool] : ((hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 275.49/45.70 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.49/45.70 | hBOOL(v9)) | (hAPP_int_bool(all_1340_0, v0) = v7 & bool(v7) &
% 275.49/45.70 | ~ hBOOL(v7))))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (725) implies:
% 275.49/45.70 | (726) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1340_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (87) with fresh symbol all_1346_0 gives:
% 275.49/45.70 | (727) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1346_0 &
% 275.49/45.70 | fun_int_bool(all_1346_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.70 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.70 | : ( ~ (times_times_int(v2, v0) = v5) | ~ (times_times_int(v1, v0) =
% 275.49/45.70 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 275.49/45.70 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.70 | | hBOOL(v6) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: bool]
% 275.49/45.70 | : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 275.49/45.70 | hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 275.49/45.70 | hBOOL(v8)) | (hAPP_int_bool(all_1346_0, v0) = v9 & bool(v9) &
% 275.49/45.70 | ~ hBOOL(v9))))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (727) implies:
% 275.49/45.70 | (728) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1346_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (101) with fresh symbol all_1352_0 gives:
% 275.49/45.70 | (729) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1352_0 &
% 275.49/45.70 | fun_int_bool(all_1352_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.70 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.70 | : ( ~ (times_times_int(v0, v2) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.70 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~
% 275.49/45.70 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.70 | | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9:
% 275.49/45.70 | bool] : ((hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 275.49/45.70 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.49/45.70 | hBOOL(v9)) | (hAPP_int_bool(all_1352_0, v0) = v7 & bool(v7) &
% 275.49/45.70 | ~ hBOOL(v7))))
% 275.49/45.70 |
% 275.49/45.70 | ALPHA: (729) implies:
% 275.49/45.70 | (730) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1352_0
% 275.49/45.70 |
% 275.49/45.70 | DELTA: instantiating (86) with fresh symbol all_1361_0 gives:
% 275.49/45.71 | (731) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1361_0 &
% 275.49/45.71 | fun_int_bool(all_1361_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.49/45.71 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.49/45.71 | : ( ~ (times_times_int(v0, v2) = v5) | ~ (times_times_int(v0, v1) =
% 275.49/45.71 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 275.49/45.71 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.49/45.71 | | hBOOL(v6) | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: bool]
% 275.49/45.71 | : ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 275.49/45.71 | hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 275.49/45.71 | hBOOL(v8)) | (hAPP_int_bool(all_1361_0, v0) = v9 & bool(v9) &
% 275.49/45.71 | ~ hBOOL(v9))))
% 275.49/45.71 |
% 275.49/45.71 | ALPHA: (731) implies:
% 275.49/45.71 | (732) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1361_0
% 275.49/45.71 |
% 275.49/45.71 | DELTA: instantiating (42) with fresh symbols all_1370_0, all_1370_1,
% 275.49/45.71 | all_1370_2 gives:
% 275.49/45.71 | (733) bit1(pls) = all_1370_2 & bit0(all_1370_2) = all_1370_1 &
% 275.49/45.71 | number_number_of_nat(all_1370_1) = all_1370_0 & nat(all_1370_0) &
% 275.49/45.71 | int(all_1370_1) & int(all_1370_2) & ! [v0: int] : ! [v1: int] : !
% 275.49/45.71 | [v2: fun_nat_int] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5:
% 275.49/45.71 | int] : ! [v6: int] : ( ~ (power_power_int(v1) = v4) | ~
% 275.49/45.71 | (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v4, all_1370_0) = v5)
% 275.49/45.71 | | ~ (hAPP_nat_int(v2, all_1370_0) = v3) | ~ (plus_plus_int(v3,
% 275.49/45.71 | v5) = v6) | ~ int(v1) | ~ int(v0) | ? [v7: fun_int_bool] :
% 275.49/45.71 | ? [v8: bool] : (hAPP_i1948725293t_bool(ord_less_int, v6) = v7 &
% 275.49/45.71 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 275.49/45.71 | bool(v8) & ~ hBOOL(v8)))
% 275.49/45.71 |
% 275.49/45.71 | ALPHA: (733) implies:
% 275.49/45.71 | (734) number_number_of_nat(all_1370_1) = all_1370_0
% 275.49/45.71 | (735) bit0(all_1370_2) = all_1370_1
% 275.49/45.71 | (736) bit1(pls) = all_1370_2
% 275.49/45.71 |
% 275.49/45.71 | DELTA: instantiating (190) with fresh symbols all_1376_0, all_1376_1,
% 275.49/45.71 | all_1376_2 gives:
% 275.87/45.71 | (737) bit1(pls) = all_1376_2 & bit0(all_1376_2) = all_1376_1 &
% 275.87/45.71 | number_number_of_nat(all_1376_1) = all_1376_0 & nat(all_1376_0) &
% 275.87/45.71 | int(all_1376_1) & int(all_1376_2) & ! [v0: int] : ! [v1: int] : !
% 275.87/45.71 | [v2: fun_nat_int] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5:
% 275.87/45.71 | int] : ! [v6: int] : ( ~ (minus_minus_int(v3, v5) = v6) | ~
% 275.87/45.71 | (power_power_int(v1) = v4) | ~ (power_power_int(v0) = v2) | ~
% 275.87/45.71 | (hAPP_nat_int(v4, all_1376_0) = v5) | ~ (hAPP_nat_int(v2,
% 275.87/45.71 | all_1376_0) = v3) | ~ int(v1) | ~ int(v0) | ? [v7: int] : ?
% 275.87/45.71 | [v8: int] : (minus_minus_int(v0, v1) = v8 & times_times_int(v7, v8)
% 275.87/45.71 | = v6 & plus_plus_int(v0, v1) = v7 & int(v8) & int(v7) & int(v6)))
% 275.87/45.71 |
% 275.87/45.71 | ALPHA: (737) implies:
% 275.87/45.71 | (738) number_number_of_nat(all_1376_1) = all_1376_0
% 275.87/45.71 | (739) bit0(all_1376_2) = all_1376_1
% 275.87/45.71 | (740) bit1(pls) = all_1376_2
% 275.87/45.71 |
% 275.87/45.71 | DELTA: instantiating (69) with fresh symbol all_1385_0 gives:
% 275.87/45.71 | (741) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1385_0 &
% 275.87/45.71 | fun_int_bool(all_1385_0) & ! [v0: int] : ! [v1: nat] : ! [v2: nat]
% 275.87/45.71 | : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.87/45.71 | [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v0) = v3) | ~
% 275.87/45.71 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 275.87/45.71 | (hAPP_nat_int(v3, v2) = v6) | ~ (hAPP_nat_int(v3, v1) = v4) | ~
% 275.87/45.71 | (hAPP_int_bool(v5, v6) = v7) | ~ nat(v2) | ~ nat(v1) | ~ int(v0)
% 275.87/45.71 | | hBOOL(v7) | ? [v8: fun_nat_bool] : ? [v9: bool] : ? [v10:
% 275.87/45.71 | bool] : ((hAPP_n1699378549t_bool(ord_less_nat, v1) = v8 &
% 275.87/45.71 | hAPP_nat_bool(v8, v2) = v9 & fun_nat_bool(v8) & bool(v9) & ~
% 275.87/45.71 | hBOOL(v9)) | (hAPP_int_bool(all_1385_0, v0) = v10 & bool(v10) &
% 275.87/45.71 | ~ hBOOL(v10))))
% 275.87/45.71 |
% 275.87/45.71 | ALPHA: (741) implies:
% 275.87/45.71 | (742) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1385_0
% 275.87/45.71 |
% 275.87/45.71 | DELTA: instantiating (221) with fresh symbols all_1388_0, all_1388_1,
% 275.87/45.71 | all_1388_2, all_1388_3, all_1388_4, all_1388_5, all_1388_6, all_1388_7,
% 275.87/45.71 | all_1388_8 gives:
% 275.87/45.71 | (743) quadRes(all_1388_3) = all_1388_2 & times_times_int(all_1388_5, m) =
% 275.87/45.71 | all_1388_4 & number_number_of_int(all_1388_6) = all_1388_5 &
% 275.87/45.71 | number_number_of_int(min) = all_1388_1 & bit1(pls) = all_1388_8 &
% 275.87/45.71 | bit0(all_1388_7) = all_1388_6 & bit0(all_1388_8) = all_1388_7 &
% 275.87/45.71 | plus_plus_int(all_1388_4, one_one_int) = all_1388_3 &
% 275.87/45.71 | hAPP_int_bool(all_1388_2, all_1388_1) = all_1388_0 &
% 275.87/45.71 | fun_int_bool(all_1388_2) & int(all_1388_1) & int(all_1388_3) &
% 275.87/45.71 | int(all_1388_4) & int(all_1388_5) & int(all_1388_6) & int(all_1388_7)
% 275.87/45.71 | & int(all_1388_8) & bool(all_1388_0) & hBOOL(all_1388_0)
% 275.87/45.71 |
% 275.87/45.71 | ALPHA: (743) implies:
% 275.87/45.71 | (744) plus_plus_int(all_1388_4, one_one_int) = all_1388_3
% 275.87/45.71 | (745) bit0(all_1388_8) = all_1388_7
% 275.87/45.71 | (746) bit0(all_1388_7) = all_1388_6
% 275.87/45.71 | (747) bit1(pls) = all_1388_8
% 275.87/45.71 | (748) number_number_of_int(min) = all_1388_1
% 275.87/45.71 | (749) number_number_of_int(all_1388_6) = all_1388_5
% 275.87/45.71 | (750) times_times_int(all_1388_5, m) = all_1388_4
% 275.87/45.71 |
% 275.87/45.71 | DELTA: instantiating (109) with fresh symbol all_1393_0 gives:
% 275.87/45.71 | (751) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1393_0 &
% 275.87/45.71 | fun_int_bool(all_1393_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.71 | : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~ (times_times_int(v1,
% 275.87/45.71 | v0) = v2) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 275.87/45.71 | v3) | ~ (hAPP_int_bool(v3, v1) = v4) | ~ int(v1) | ~ int(v0) |
% 275.87/45.71 | hBOOL(v4) | ? [v5: bool] : ? [v6: bool] : ? [v7: fun_int_bool] :
% 275.87/45.71 | ? [v8: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v7
% 275.87/45.71 | & hAPP_int_bool(v7, one_one_int) = v8 & fun_int_bool(v7) &
% 275.87/45.71 | bool(v8) & ~ hBOOL(v8)) | (hAPP_int_bool(all_1393_0, v1) = v5
% 275.87/45.71 | & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(all_1393_0, v0) =
% 275.87/45.71 | v6 & bool(v6) & ~ hBOOL(v6))))
% 275.87/45.71 |
% 275.87/45.71 | ALPHA: (751) implies:
% 275.87/45.71 | (752) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1393_0
% 275.87/45.71 |
% 275.87/45.71 | DELTA: instantiating (18) with fresh symbols all_1414_0, all_1414_1,
% 275.87/45.71 | all_1414_2, all_1414_3, all_1414_4 gives:
% 275.87/45.71 | (753) bit1(pls) = all_1414_4 & bit0(all_1414_3) = all_1414_1 &
% 275.87/45.71 | bit0(all_1414_4) = all_1414_3 & number_number_of_nat(all_1414_1) =
% 275.87/45.71 | all_1414_0 & number_number_of_nat(all_1414_3) = all_1414_2 &
% 275.87/45.71 | nat(all_1414_0) & nat(all_1414_2) & int(all_1414_1) & int(all_1414_3)
% 275.87/45.71 | & int(all_1414_4) & ! [v0: int] : ! [v1: fun_nat_int] : ( ~
% 275.87/45.71 | (power_power_int(v0) = v1) | ~ int(v0) | ? [v2: int] : ? [v3:
% 275.87/45.71 | fun_nat_int] : ? [v4: int] : (power_power_int(v2) = v3 &
% 275.87/45.71 | hAPP_nat_int(v3, all_1414_2) = v4 & hAPP_nat_int(v1, all_1414_0)
% 275.87/45.71 | = v4 & hAPP_nat_int(v1, all_1414_2) = v2 & fun_nat_int(v3) &
% 275.87/45.71 | int(v4) & int(v2)))
% 275.87/45.71 |
% 275.87/45.71 | ALPHA: (753) implies:
% 275.87/45.71 | (754) number_number_of_nat(all_1414_3) = all_1414_2
% 275.87/45.71 | (755) bit0(all_1414_4) = all_1414_3
% 275.87/45.71 | (756) bit0(all_1414_3) = all_1414_1
% 275.87/45.71 | (757) bit1(pls) = all_1414_4
% 275.87/45.71 |
% 275.87/45.71 | DELTA: instantiating (110) with fresh symbol all_1417_0 gives:
% 275.87/45.72 | (758) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1417_0 &
% 275.87/45.72 | fun_int_bool(all_1417_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.72 | : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~ (times_times_int(v0,
% 275.87/45.72 | v1) = v2) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 275.87/45.72 | v3) | ~ (hAPP_int_bool(v3, v1) = v4) | ~ int(v1) | ~ int(v0) |
% 275.87/45.72 | hBOOL(v4) | ? [v5: bool] : ? [v6: bool] : ? [v7: fun_int_bool] :
% 275.87/45.72 | ? [v8: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v7
% 275.87/45.72 | & hAPP_int_bool(v7, one_one_int) = v8 & fun_int_bool(v7) &
% 275.87/45.72 | bool(v8) & ~ hBOOL(v8)) | (hAPP_int_bool(all_1417_0, v1) = v5
% 275.87/45.72 | & bool(v5) & ~ hBOOL(v5)) | (hAPP_int_bool(all_1417_0, v0) =
% 275.87/45.72 | v6 & bool(v6) & ~ hBOOL(v6))))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (758) implies:
% 275.87/45.72 | (759) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1417_0
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (235) with fresh symbols all_1429_0, all_1429_1,
% 275.87/45.72 | all_1429_2, all_1429_3, all_1429_4 gives:
% 275.87/45.72 | (760) number_number_of_int(all_1429_2) = all_1429_1 &
% 275.87/45.72 | number_number_of_int(min) = all_1429_0 & bit1(pls) = all_1429_4 &
% 275.87/45.72 | bit0(all_1429_3) = all_1429_2 & bit0(all_1429_4) = all_1429_3 &
% 275.87/45.72 | int(all_1429_0) & int(all_1429_1) & int(all_1429_2) & int(all_1429_3)
% 275.87/45.72 | & int(all_1429_4) & ! [v0: int] : ! [v1: int] : ( ~
% 275.87/45.72 | (times_times_int(all_1429_1, v0) = v1) | ~ int(v0) | ? [v2: int]
% 275.87/45.72 | : ? [v3: bool] : ? [v4: int] : (plus_plus_int(v1, one_one_int) =
% 275.87/45.72 | v2 & int(v2) & ((v4 = one_one_int & legendre(all_1429_0, v2) =
% 275.87/45.72 | one_one_int) | (hAPP_int_bool(zprime, v2) = v3 & bool(v3) &
% 275.87/45.72 | ~ hBOOL(v3)))))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (760) implies:
% 275.87/45.72 | (761) bit0(all_1429_4) = all_1429_3
% 275.87/45.72 | (762) bit0(all_1429_3) = all_1429_2
% 275.87/45.72 | (763) bit1(pls) = all_1429_4
% 275.87/45.72 | (764) number_number_of_int(min) = all_1429_0
% 275.87/45.72 | (765) number_number_of_int(all_1429_2) = all_1429_1
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (208) with fresh symbol all_1435_0 gives:
% 275.87/45.72 | (766) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1435_0 &
% 275.87/45.72 | fun_int_bool(all_1435_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.87/45.72 | bool] : ! [v3: bool] : (v1 = v0 | ~ (hAPP_int_bool(all_1435_0,
% 275.87/45.72 | v1) = v2) | ~ (hAPP_int_bool(all_1435_0, v0) = v3) | ~
% 275.87/45.72 | int(v1) | ~ int(v0) | ~ hBOOL(v3) | ~ hBOOL(v2) | ? [v4:
% 275.87/45.72 | fun_int_bool] : ? [v5: bool] : ? [v6: fun_int_bool] : ? [v7:
% 275.87/45.72 | bool] : ((hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v4 &
% 275.87/45.72 | hAPP_int_bool(v4, v0) = v5 & fun_int_bool(v4) & bool(v5) & ~
% 275.87/45.72 | hBOOL(v5)) | (hAPP_i1948725293t_bool(dvd_dvd_int, v0) = v6 &
% 275.87/45.72 | hAPP_int_bool(v6, v1) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 275.87/45.72 | hBOOL(v7))))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (766) implies:
% 275.87/45.72 | (767) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1435_0
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (191) with fresh symbols all_1438_0, all_1438_1,
% 275.87/45.72 | all_1438_2 gives:
% 275.87/45.72 | (768) bit1(pls) = all_1438_2 & bit0(all_1438_2) = all_1438_1 &
% 275.87/45.72 | number_number_of_nat(all_1438_1) = all_1438_0 & nat(all_1438_0) &
% 275.87/45.72 | int(all_1438_1) & int(all_1438_2) & ! [v0: nat] : ! [v1: nat] : !
% 275.87/45.72 | [v2: fun_nat_nat] : ! [v3: nat] : ! [v4: fun_nat_nat] : ! [v5:
% 275.87/45.72 | nat] : ! [v6: nat] : ( ~ (minus_minus_nat(v3, v5) = v6) | ~
% 275.87/45.72 | (power_power_nat(v1) = v4) | ~ (power_power_nat(v0) = v2) | ~
% 275.87/45.72 | (hAPP_nat_nat(v4, all_1438_0) = v5) | ~ (hAPP_nat_nat(v2,
% 275.87/45.72 | all_1438_0) = v3) | ~ nat(v1) | ~ nat(v0) | ? [v7: nat] : ?
% 275.87/45.72 | [v8: nat] : (times_times_nat(v7, v8) = v6 & minus_minus_nat(v0, v1)
% 275.87/45.72 | = v8 & plus_plus_nat(v0, v1) = v7 & nat(v8) & nat(v7) & nat(v6)))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (768) implies:
% 275.87/45.72 | (769) number_number_of_nat(all_1438_1) = all_1438_0
% 275.87/45.72 | (770) bit0(all_1438_2) = all_1438_1
% 275.87/45.72 | (771) bit1(pls) = all_1438_2
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (68) with fresh symbol all_1444_0 gives:
% 275.87/45.72 | (772) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1444_0 &
% 275.87/45.72 | fun_int_bool(all_1444_0) & ! [v0: nat] : ! [v1: nat] : ! [v2: int]
% 275.87/45.72 | : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.87/45.72 | [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v2) = v3) | ~
% 275.87/45.72 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 275.87/45.72 | (hAPP_nat_int(v3, v1) = v6) | ~ (hAPP_nat_int(v3, v0) = v4) | ~
% 275.87/45.72 | (hAPP_int_bool(v5, v6) = v7) | ~ nat(v1) | ~ nat(v0) | ~ int(v2)
% 275.87/45.72 | | ~ hBOOL(v7) | ? [v8: bool] : ? [v9: fun_nat_bool] : ? [v10:
% 275.87/45.72 | bool] : ((hAPP_n1699378549t_bool(ord_less_nat, v0) = v9 &
% 275.87/45.72 | hAPP_nat_bool(v9, v1) = v10 & fun_nat_bool(v9) & bool(v10) &
% 275.87/45.72 | hBOOL(v10)) | (hAPP_int_bool(all_1444_0, v2) = v8 & bool(v8) &
% 275.87/45.72 | ~ hBOOL(v8))))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (772) implies:
% 275.87/45.72 | (773) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1444_0
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (234) with fresh symbols all_1450_0, all_1450_1,
% 275.87/45.72 | all_1450_2 gives:
% 275.87/45.72 | (774) bit1(pls) = all_1450_2 & bit0(all_1450_2) = all_1450_1 &
% 275.87/45.72 | number_number_of_nat(all_1450_1) = all_1450_0 & nat(all_1450_0) &
% 275.87/45.72 | int(all_1450_1) & int(all_1450_2) & ! [v0: nat] : ! [v1: nat] : !
% 275.87/45.72 | [v2: nat] : ! [v3: fun_nat_bool] : ! [v4: bool] : (v1 = v0 | v1 =
% 275.87/45.72 | zero_zero_nat | ~ (times_times_nat(all_1450_0, v0) = v2) | ~
% 275.87/45.72 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v2) = v3) | ~
% 275.87/45.72 | (hAPP_nat_bool(v3, v1) = v4) | ~ nat(v1) | ~ nat(v0) | hBOOL(v4)
% 275.87/45.72 | | ? [v5: fun_nat_bool] : ? [v6: bool] :
% 275.87/45.72 | (hAPP_n1699378549t_bool(dvd_dvd_nat, v0) = v5 & hAPP_nat_bool(v5,
% 275.87/45.72 | v1) = v6 & fun_nat_bool(v5) & bool(v6) & ~ hBOOL(v6)))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (774) implies:
% 275.87/45.72 | (775) number_number_of_nat(all_1450_1) = all_1450_0
% 275.87/45.72 | (776) bit0(all_1450_2) = all_1450_1
% 275.87/45.72 | (777) bit1(pls) = all_1450_2
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (125) with fresh symbol all_1453_0 gives:
% 275.87/45.72 | (778) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1453_0 &
% 275.87/45.72 | fun_int_bool(all_1453_0) & ! [v0: nat] : ! [v1: nat] : ! [v2: int]
% 275.87/45.72 | : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.87/45.72 | [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v2) = v3) | ~
% 275.87/45.72 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 275.87/45.72 | (hAPP_nat_int(v3, v1) = v6) | ~ (hAPP_nat_int(v3, v0) = v4) | ~
% 275.87/45.72 | (hAPP_int_bool(v5, v6) = v7) | ~ nat(v1) | ~ nat(v0) | ~ int(v2)
% 275.87/45.72 | | ~ hBOOL(v7) | ? [v8: bool] : ? [v9: fun_nat_bool] : ? [v10:
% 275.87/45.72 | bool] : ((hAPP_n1699378549t_bool(ord_less_eq_nat, v0) = v9 &
% 275.87/45.72 | hAPP_nat_bool(v9, v1) = v10 & fun_nat_bool(v9) & bool(v10) &
% 275.87/45.72 | hBOOL(v10)) | (hAPP_int_bool(all_1453_0, v2) = v8 & bool(v8) &
% 275.87/45.72 | ~ hBOOL(v8))))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (778) implies:
% 275.87/45.72 | (779) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1453_0
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (23) with fresh symbols all_1456_0, all_1456_1 gives:
% 275.87/45.72 | (780) hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = all_1456_1 &
% 275.87/45.72 | hAPP_i1948725293t_bool(ord_less_int, pls) = all_1456_0 &
% 275.87/45.72 | fun_real_bool(all_1456_1) & fun_int_bool(all_1456_0) & ! [v0: int] :
% 275.87/45.72 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1456_0, v0) = v1) | ~ int(v0)
% 275.87/45.72 | | ~ hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.72 | (hAPP_real_bool(all_1456_1, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.72 | v2 & real(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1:
% 275.87/45.72 | bool] : ( ~ (hAPP_int_bool(all_1456_0, v0) = v1) | ~ int(v0) |
% 275.87/45.72 | hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.72 | (hAPP_real_bool(all_1456_1, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.72 | v2 & real(v2) & bool(v3) & ~ hBOOL(v3)))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (780) implies:
% 275.87/45.72 | (781) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1456_0
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (182) with fresh symbol all_1459_0 gives:
% 275.87/45.72 | (782) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1459_0 &
% 275.87/45.72 | fun_int_bool(all_1459_0) & ! [v0: int] : ! [v1: int] : ! [v2: nat]
% 275.87/45.72 | : ! [v3: nat] : ! [v4: nat] : ( ~ (nat_1(v1) = v3) | ~ (nat_1(v0)
% 275.87/45.72 | = v2) | ~ (minus_minus_nat(v2, v3) = v4) | ~ int(v1) | ~
% 275.87/45.72 | int(v0) | ? [v5: bool] : ? [v6: fun_int_bool] : ? [v7: bool] :
% 275.87/45.72 | ? [v8: int] : ? [v9: nat] : ((v9 = v4 & minus_minus_int(v0, v1) =
% 275.87/45.72 | v8 & nat_1(v8) = v4 & nat(v4) & int(v8)) |
% 275.87/45.72 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v6 &
% 275.87/45.72 | hAPP_int_bool(v6, v0) = v7 & fun_int_bool(v6) & bool(v7) & ~
% 275.87/45.72 | hBOOL(v7)) | (hAPP_int_bool(all_1459_0, v1) = v5 & bool(v5) &
% 275.87/45.72 | ~ hBOOL(v5))))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (782) implies:
% 275.87/45.72 | (783) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1459_0
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (121) with fresh symbols all_1462_0, all_1462_1 gives:
% 275.87/45.72 | (784) hAPP_r1134773055l_bool(ord_less_eq_real, zero_zero_real) = all_1462_1
% 275.87/45.72 | & hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1462_0 &
% 275.87/45.72 | fun_real_bool(all_1462_1) & fun_int_bool(all_1462_0) & ! [v0: int] :
% 275.87/45.72 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1462_0, v0) = v1) | ~ int(v0)
% 275.87/45.72 | | ~ hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.72 | (hAPP_real_bool(all_1462_1, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.72 | v2 & real(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1:
% 275.87/45.72 | bool] : ( ~ (hAPP_int_bool(all_1462_0, v0) = v1) | ~ int(v0) |
% 275.87/45.72 | hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.72 | (hAPP_real_bool(all_1462_1, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.72 | v2 & real(v2) & bool(v3) & ~ hBOOL(v3)))
% 275.87/45.72 |
% 275.87/45.72 | ALPHA: (784) implies:
% 275.87/45.72 | (785) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1462_0
% 275.87/45.72 |
% 275.87/45.72 | DELTA: instantiating (199) with fresh symbols all_1465_0, all_1465_1,
% 275.87/45.72 | all_1465_2, all_1465_3, all_1465_4 gives:
% 275.87/45.73 | (786) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1465_0 &
% 275.87/45.73 | number_number_of_int(all_1465_3) = all_1465_2 & bit1(pls) =
% 275.87/45.73 | all_1465_4 & bit0(all_1465_4) = all_1465_3 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, all_1465_2) = all_1465_1 &
% 275.87/45.73 | fun_nat_bool(all_1465_0) & fun_int_bool(all_1465_1) & int(all_1465_2)
% 275.87/45.73 | & int(all_1465_3) & int(all_1465_4) & ! [v0: int] : ! [v1: bool] :
% 275.87/45.73 | ( ~ (hAPP_int_bool(all_1465_1, v0) = v1) | ~ int(v0) | ~ hBOOL(v1)
% 275.87/45.73 | | ? [v2: int] : ? [v3: nat] : ? [v4: bool] :
% 275.87/45.73 | (minus_minus_int(v0, all_1465_2) = v2 & nat_1(v2) = v3 &
% 275.87/45.73 | hAPP_nat_bool(all_1465_0, v3) = v4 & nat(v3) & int(v2) & bool(v4)
% 275.87/45.73 | & hBOOL(v4)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (786) implies:
% 275.87/45.73 | (787) bit0(all_1465_4) = all_1465_3
% 275.87/45.73 | (788) bit1(pls) = all_1465_4
% 275.87/45.73 | (789) number_number_of_int(all_1465_3) = all_1465_2
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (60) with fresh symbols all_1468_0, all_1468_1 gives:
% 275.87/45.73 | (790) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1468_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1468_1 &
% 275.87/45.73 | fun_nat_bool(all_1468_0) & fun_int_bool(all_1468_1) & ! [v0: nat] :
% 275.87/45.73 | ! [v1: bool] : ( ~ (hAPP_nat_bool(all_1468_0, v0) = v1) | ~ nat(v0)
% 275.87/45.73 | | ~ hBOOL(v1) | ? [v2: int] : ? [v3: bool] :
% 275.87/45.73 | (hAPP_nat_int(semiri1621563631at_int, v0) = v2 &
% 275.87/45.73 | hAPP_int_bool(all_1468_1, v2) = v3 & int(v2) & bool(v3) &
% 275.87/45.73 | hBOOL(v3))) & ! [v0: nat] : ! [v1: bool] : ( ~
% 275.87/45.73 | (hAPP_nat_bool(all_1468_0, v0) = v1) | ~ nat(v0) | hBOOL(v1) | ?
% 275.87/45.73 | [v2: int] : ? [v3: bool] : (hAPP_nat_int(semiri1621563631at_int,
% 275.87/45.73 | v0) = v2 & hAPP_int_bool(all_1468_1, v2) = v3 & int(v2) &
% 275.87/45.73 | bool(v3) & ~ hBOOL(v3)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (790) implies:
% 275.87/45.73 | (791) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1468_1
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (22) with fresh symbols all_1471_0, all_1471_1 gives:
% 275.87/45.73 | (792) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1471_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1471_1 &
% 275.87/45.73 | fun_int_bool(all_1471_0) & fun_int_bool(all_1471_1) & ! [v0: int] :
% 275.87/45.73 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1471_0, v0) = v1) | ~ int(v0)
% 275.87/45.73 | | ~ hBOOL(v1) | ? [v2: int] : ? [v3: bool] :
% 275.87/45.73 | (number_number_of_int(v0) = v2 & hAPP_int_bool(all_1471_1, v2) = v3
% 275.87/45.73 | & int(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1: bool]
% 275.87/45.73 | : ( ~ (hAPP_int_bool(all_1471_0, v0) = v1) | ~ int(v0) | hBOOL(v1) |
% 275.87/45.73 | ? [v2: int] : ? [v3: bool] : (number_number_of_int(v0) = v2 &
% 275.87/45.73 | hAPP_int_bool(all_1471_1, v2) = v3 & int(v2) & bool(v3) & ~
% 275.87/45.73 | hBOOL(v3)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (792) implies:
% 275.87/45.73 | (793) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1471_1
% 275.87/45.73 | (794) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1471_0
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (60) with fresh symbols all_1474_0, all_1474_1 gives:
% 275.87/45.73 | (795) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1474_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1474_1 &
% 275.87/45.73 | fun_nat_bool(all_1474_0) & fun_int_bool(all_1474_1) & ! [v0: nat] :
% 275.87/45.73 | ! [v1: bool] : ( ~ (hAPP_nat_bool(all_1474_0, v0) = v1) | ~ nat(v0)
% 275.87/45.73 | | ~ hBOOL(v1) | ? [v2: int] : ? [v3: bool] :
% 275.87/45.73 | (hAPP_nat_int(semiri1621563631at_int, v0) = v2 &
% 275.87/45.73 | hAPP_int_bool(all_1474_1, v2) = v3 & int(v2) & bool(v3) &
% 275.87/45.73 | hBOOL(v3))) & ! [v0: nat] : ! [v1: bool] : ( ~
% 275.87/45.73 | (hAPP_nat_bool(all_1474_0, v0) = v1) | ~ nat(v0) | hBOOL(v1) | ?
% 275.87/45.73 | [v2: int] : ? [v3: bool] : (hAPP_nat_int(semiri1621563631at_int,
% 275.87/45.73 | v0) = v2 & hAPP_int_bool(all_1474_1, v2) = v3 & int(v2) &
% 275.87/45.73 | bool(v3) & ~ hBOOL(v3)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (795) implies:
% 275.87/45.73 | (796) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1474_1
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (59) with fresh symbols all_1480_0, all_1480_1 gives:
% 275.87/45.73 | (797) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1480_1 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, pls) = all_1480_0 &
% 275.87/45.73 | fun_nat_bool(all_1480_1) & fun_int_bool(all_1480_0) & ! [v0: int] :
% 275.87/45.73 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1480_0, v0) = v1) | ~ int(v0)
% 275.87/45.73 | | ~ hBOOL(v1) | ? [v2: nat] : ? [v3: bool] :
% 275.87/45.73 | (hAPP_nat_bool(all_1480_1, v2) = v3 & number_number_of_nat(v0) = v2
% 275.87/45.73 | & nat(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1: bool]
% 275.87/45.73 | : ( ~ (hAPP_int_bool(all_1480_0, v0) = v1) | ~ int(v0) | hBOOL(v1) |
% 275.87/45.73 | ? [v2: nat] : ? [v3: bool] : (hAPP_nat_bool(all_1480_1, v2) = v3
% 275.87/45.73 | & number_number_of_nat(v0) = v2 & nat(v2) & bool(v3) & ~
% 275.87/45.73 | hBOOL(v3)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (797) implies:
% 275.87/45.73 | (798) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1480_0
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (151) with fresh symbols all_1483_0, all_1483_1 gives:
% 275.87/45.73 | (799) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1483_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, pls) = all_1483_1 &
% 275.87/45.73 | fun_int_bool(all_1483_0) & fun_int_bool(all_1483_1) & ! [v0: int] :
% 275.87/45.73 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1483_0, v0) = v1) | ~ int(v0)
% 275.87/45.73 | | ~ hBOOL(v1) | ? [v2: int] : ? [v3: bool] : (bit1(v0) = v2 &
% 275.87/45.73 | hAPP_int_bool(all_1483_1, v2) = v3 & int(v2) & bool(v3) &
% 275.87/45.73 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.87/45.73 | (hAPP_int_bool(all_1483_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.87/45.73 | [v2: int] : ? [v3: bool] : (bit1(v0) = v2 &
% 275.87/45.73 | hAPP_int_bool(all_1483_1, v2) = v3 & int(v2) & bool(v3) & ~
% 275.87/45.73 | hBOOL(v3)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (799) implies:
% 275.87/45.73 | (800) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1483_1
% 275.87/45.73 | (801) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1483_0
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (155) with fresh symbols all_1486_0, all_1486_1 gives:
% 275.87/45.73 | (802) hAPP_n1699378549t_bool(ord_less_nat, zero_zero_nat) = all_1486_1 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1486_0 &
% 275.87/45.73 | fun_nat_bool(all_1486_1) & fun_int_bool(all_1486_0) & ! [v0: int] :
% 275.87/45.73 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1486_0, v0) = v1) | ~ int(v0)
% 275.87/45.73 | | ~ hBOOL(v1) | ? [v2: nat] : ? [v3: bool] : (nat_1(v0) = v2 &
% 275.87/45.73 | hAPP_nat_bool(all_1486_1, v2) = v3 & nat(v2) & bool(v3) &
% 275.87/45.73 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.87/45.73 | (hAPP_int_bool(all_1486_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.87/45.73 | [v2: nat] : ? [v3: bool] : (nat_1(v0) = v2 &
% 275.87/45.73 | hAPP_nat_bool(all_1486_1, v2) = v3 & nat(v2) & bool(v3) & ~
% 275.87/45.73 | hBOOL(v3)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (802) implies:
% 275.87/45.73 | (803) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1486_0
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (122) with fresh symbols all_1489_0, all_1489_1 gives:
% 275.87/45.73 | (804) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1489_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1489_1 &
% 275.87/45.73 | fun_int_bool(all_1489_0) & fun_int_bool(all_1489_1) & ! [v0: int] :
% 275.87/45.73 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1489_0, v0) = v1) | ~ int(v0)
% 275.87/45.73 | | ~ hBOOL(v1) | ? [v2: int] : ? [v3: bool] :
% 275.87/45.73 | (number_number_of_int(v0) = v2 & hAPP_int_bool(all_1489_1, v2) = v3
% 275.87/45.73 | & int(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1: bool]
% 275.87/45.73 | : ( ~ (hAPP_int_bool(all_1489_0, v0) = v1) | ~ int(v0) | hBOOL(v1) |
% 275.87/45.73 | ? [v2: int] : ? [v3: bool] : (number_number_of_int(v0) = v2 &
% 275.87/45.73 | hAPP_int_bool(all_1489_1, v2) = v3 & int(v2) & bool(v3) & ~
% 275.87/45.73 | hBOOL(v3)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (804) implies:
% 275.87/45.73 | (805) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1489_1
% 275.87/45.73 | (806) hAPP_i1948725293t_bool(ord_less_eq_int, pls) = all_1489_0
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (166) with fresh symbols all_1492_0, all_1492_1 gives:
% 275.87/45.73 | (807) hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int) = all_1492_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1492_1 &
% 275.87/45.73 | fun_int_bool(all_1492_0) & fun_int_bool(all_1492_1) & ! [v0: int] :
% 275.87/45.73 | ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] : ! [v4: bool] :
% 275.87/45.73 | ! [v5: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) = v3) |
% 275.87/45.73 | ~ (hAPP_int_bool(v3, v2) = v4) | ~ (hAPP_int_bool(all_1492_0, v1)
% 275.87/45.73 | = v5) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v4) |
% 275.87/45.73 | hBOOL(v5) | ? [v6: bool] : ? [v7: int] : ? [v8: int] : (( ~ (v8
% 275.87/45.73 | = v2) & times_times_int(v2, v1) = v7 & plus_plus_int(v0, v7)
% 275.87/45.73 | = v8 & int(v8) & int(v7)) | (hAPP_int_bool(all_1492_1, v2) = v6
% 275.87/45.73 | & bool(v6) & ~ hBOOL(v6))))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (807) implies:
% 275.87/45.73 | (808) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1492_1
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (198) with fresh symbols all_1498_0, all_1498_1,
% 275.87/45.73 | all_1498_2, all_1498_3, all_1498_4 gives:
% 275.87/45.73 | (809) number_number_of_int(all_1498_3) = all_1498_2 & bit1(pls) =
% 275.87/45.73 | all_1498_4 & bit0(all_1498_4) = all_1498_3 &
% 275.87/45.73 | number_number_of_nat(all_1498_3) = all_1498_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, all_1498_2) = all_1498_1 &
% 275.87/45.73 | fun_int_bool(all_1498_1) & nat(all_1498_0) & int(all_1498_2) &
% 275.87/45.73 | int(all_1498_3) & int(all_1498_4) & ! [v0: int] : ! [v1: bool] : (
% 275.87/45.73 | ~ (hAPP_int_bool(all_1498_1, v0) = v1) | ~ int(v0) | ~ hBOOL(v1)
% 275.87/45.73 | | ? [v2: nat] : ? [v3: nat] : ? [v4: int] : (minus_minus_int(v0,
% 275.87/45.73 | all_1498_2) = v4 & nat_1(v4) = v3 & nat_1(v0) = v2 &
% 275.87/45.73 | minus_minus_nat(v2, all_1498_0) = v3 & nat(v3) & nat(v2) &
% 275.87/45.73 | int(v4)))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (809) implies:
% 275.87/45.73 | (810) number_number_of_nat(all_1498_3) = all_1498_0
% 275.87/45.73 | (811) bit0(all_1498_4) = all_1498_3
% 275.87/45.73 | (812) bit1(pls) = all_1498_4
% 275.87/45.73 | (813) number_number_of_int(all_1498_3) = all_1498_2
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (165) with fresh symbols all_1501_0, all_1501_1 gives:
% 275.87/45.73 | (814) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1501_0 &
% 275.87/45.73 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1501_1 &
% 275.87/45.73 | fun_int_bool(all_1501_0) & fun_int_bool(all_1501_1) & ! [v0: int] :
% 275.87/45.73 | ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4: bool] : ! [v5:
% 275.87/45.73 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 275.87/45.73 | v5) | ~ (hAPP_int_bool(all_1501_0, v0) = v4) | ~
% 275.87/45.73 | (hAPP_int_bool(all_1501_1, v2) = v3) | ~ int(v2) | ~ int(v1) | ~
% 275.87/45.73 | int(v0) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v6: int] : ? [v7: int]
% 275.87/45.73 | : ? [v8: bool] : (( ~ (v7 = v2) & times_times_int(v2, v1) = v6 &
% 275.87/45.73 | plus_plus_int(v0, v6) = v7 & int(v7) & int(v6)) |
% 275.87/45.73 | (hAPP_int_bool(v5, one_one_int) = v8 & bool(v8) & hBOOL(v8))))
% 275.87/45.73 |
% 275.87/45.73 | ALPHA: (814) implies:
% 275.87/45.73 | (815) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1501_1
% 275.87/45.73 | (816) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1501_0
% 275.87/45.73 |
% 275.87/45.73 | DELTA: instantiating (218) with fresh symbols all_1507_0, all_1507_1 gives:
% 275.87/45.74 | (817) hAPP_i1948725293t_bool(ord_less_eq_int, min) = all_1507_1 &
% 275.87/45.74 | hAPP_i1948725293t_bool(ord_less_int, min) = all_1507_0 &
% 275.87/45.74 | fun_int_bool(all_1507_0) & fun_int_bool(all_1507_1) & ! [v0: int] :
% 275.87/45.74 | ! [v1: bool] : ( ~ (hAPP_int_bool(all_1507_0, v0) = v1) | ~ int(v0)
% 275.87/45.74 | | ~ hBOOL(v1) | ? [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.87/45.74 | hAPP_int_bool(all_1507_1, v2) = v3 & int(v2) & bool(v3) &
% 275.87/45.74 | hBOOL(v3))) & ! [v0: int] : ! [v1: bool] : ( ~
% 275.87/45.74 | (hAPP_int_bool(all_1507_0, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 275.87/45.74 | [v2: int] : ? [v3: bool] : (bit0(v0) = v2 &
% 275.87/45.74 | hAPP_int_bool(all_1507_1, v2) = v3 & int(v2) & bool(v3) & ~
% 275.87/45.74 | hBOOL(v3)))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (817) implies:
% 275.87/45.74 | (818) hAPP_i1948725293t_bool(ord_less_int, min) = all_1507_0
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (175) with fresh symbols all_1510_0, all_1510_1,
% 275.87/45.74 | all_1510_2, all_1510_3, all_1510_4, all_1510_5, all_1510_6, all_1510_7,
% 275.87/45.74 | all_1510_8, all_1510_9 gives:
% 275.87/45.74 | (819) times_times_int(all_1510_0, t) = all_1510_4 &
% 275.87/45.74 | times_times_int(all_1510_2, m) = all_1510_1 &
% 275.87/45.74 | number_number_of_int(all_1510_3) = all_1510_2 & bit1(pls) =
% 275.87/45.74 | all_1510_8 & bit0(all_1510_7) = all_1510_3 & bit0(all_1510_8) =
% 275.87/45.74 | all_1510_7 & number_number_of_nat(all_1510_7) = all_1510_6 &
% 275.87/45.74 | power_power_int(s) = all_1510_9 & hAPP_nat_int(all_1510_9,
% 275.87/45.74 | all_1510_6) = all_1510_5 & plus_plus_int(all_1510_1, one_one_int) =
% 275.87/45.74 | all_1510_0 & plus_plus_int(all_1510_5, one_one_int) = all_1510_4 &
% 275.87/45.74 | fun_nat_int(all_1510_9) & nat(all_1510_6) & int(all_1510_0) &
% 275.87/45.74 | int(all_1510_1) & int(all_1510_2) & int(all_1510_3) & int(all_1510_4)
% 275.87/45.74 | & int(all_1510_5) & int(all_1510_7) & int(all_1510_8)
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (819) implies:
% 275.87/45.74 | (820) plus_plus_int(all_1510_1, one_one_int) = all_1510_0
% 275.87/45.74 | (821) number_number_of_nat(all_1510_7) = all_1510_6
% 275.87/45.74 | (822) bit0(all_1510_8) = all_1510_7
% 275.87/45.74 | (823) bit0(all_1510_7) = all_1510_3
% 275.87/45.74 | (824) bit1(pls) = all_1510_8
% 275.87/45.74 | (825) number_number_of_int(all_1510_3) = all_1510_2
% 275.87/45.74 | (826) times_times_int(all_1510_2, m) = all_1510_1
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (255) with fresh symbol all_1512_0 gives:
% 275.87/45.74 | (827) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1512_0 &
% 275.87/45.74 | fun_int_bool(all_1512_0) & ! [v0: int] : ! [v1: int] : ( ~
% 275.87/45.74 | (number_number_of_int(v0) = v1) | ~ int(v0) | ? [v2: bool] : ?
% 275.87/45.74 | [v3: int] : ? [v4: int] : ? [v5: bool] : ? [v6: int] : ? [v7:
% 275.87/45.74 | int] : ? [v8: bool] : ((number_number_of_int(v6) = v7 &
% 275.87/45.74 | number_number_of_int(v3) = v4 & bit1(v0) = v6 & bit0(v0) = v3 &
% 275.87/45.74 | hAPP_int_bool(all_1512_0, v7) = v8 & hAPP_int_bool(all_1512_0,
% 275.87/45.74 | v4) = v5 & int(v7) & int(v6) & int(v4) & int(v3) & bool(v8) &
% 275.87/45.74 | bool(v5) & hBOOL(v8) & hBOOL(v5)) | (hAPP_int_bool(all_1512_0,
% 275.87/45.74 | v1) = v2 & bool(v2) & ~ hBOOL(v2))))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (827) implies:
% 275.87/45.74 | (828) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1512_0
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (169) with fresh symbols all_1515_0, all_1515_1,
% 275.87/45.74 | all_1515_2, all_1515_3, all_1515_4, all_1515_5, all_1515_6, all_1515_7,
% 275.87/45.74 | all_1515_8, all_1515_9 gives:
% 275.87/45.74 | (829) times_times_int(all_1515_4, all_1515_2) = all_1515_1 &
% 275.87/45.74 | times_times_int(all_1515_6, m) = all_1515_5 &
% 275.87/45.74 | number_number_of_int(all_1515_7) = all_1515_6 & bit1(pls) =
% 275.87/45.74 | all_1515_9 & bit0(all_1515_8) = all_1515_7 & bit0(all_1515_9) =
% 275.87/45.74 | all_1515_8 & hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) =
% 275.87/45.74 | all_1515_3 & plus_plus_int(all_1515_5, one_one_int) = all_1515_4 &
% 275.87/45.74 | plus_plus_int(one_one_int, all_1515_3) = all_1515_2 &
% 275.87/45.74 | hAPP_int_bool(twoSqu820444569sum2sq, all_1515_1) = all_1515_0 &
% 275.87/45.74 | int(all_1515_1) & int(all_1515_2) & int(all_1515_3) & int(all_1515_4)
% 275.87/45.74 | & int(all_1515_5) & int(all_1515_6) & int(all_1515_7) &
% 275.87/45.74 | int(all_1515_8) & int(all_1515_9) & bool(all_1515_0) & ~
% 275.87/45.74 | hBOOL(all_1515_0)
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (829) implies:
% 275.87/45.74 | (830) plus_plus_int(all_1515_5, one_one_int) = all_1515_4
% 275.87/45.74 | (831) hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = all_1515_3
% 275.87/45.74 | (832) bit0(all_1515_9) = all_1515_8
% 275.87/45.74 | (833) bit0(all_1515_8) = all_1515_7
% 275.87/45.74 | (834) bit1(pls) = all_1515_9
% 275.87/45.74 | (835) number_number_of_int(all_1515_7) = all_1515_6
% 275.87/45.74 | (836) times_times_int(all_1515_6, m) = all_1515_5
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (112) with fresh symbol all_1517_0 gives:
% 275.87/45.74 | (837) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1517_0 &
% 275.87/45.74 | fun_int_bool(all_1517_0) & ! [v0: nat] : ! [v1: int] : ! [v2:
% 275.87/45.74 | bool] : ! [v3: int] : (v3 = v1 | ~
% 275.87/45.74 | (hAPP_nat_int(semiri1621563631at_int, v0) = v3) | ~
% 275.87/45.74 | (hAPP_int_bool(all_1517_0, v1) = v2) | ~ nat(v0) | ~ int(v1) | ~
% 275.87/45.74 | hBOOL(v2) | ? [v4: nat] : ( ~ (v4 = v0) & nat_1(v1) = v4 &
% 275.87/45.74 | nat(v4))) & ! [v0: nat] : ! [v1: int] : ! [v2: bool] : ( ~
% 275.87/45.74 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~
% 275.87/45.74 | (hAPP_int_bool(all_1517_0, v1) = v2) | ~ nat(v0) | ~ int(v1) |
% 275.87/45.74 | nat_1(v1) = v0) & ! [v0: nat] : ! [v1: int] : ! [v2: bool] : ( ~
% 275.87/45.74 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~
% 275.87/45.74 | (hAPP_int_bool(all_1517_0, v1) = v2) | ~ nat(v0) | ~ int(v1) |
% 275.87/45.74 | hBOOL(v2))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (837) implies:
% 275.87/45.74 | (838) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1517_0
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (249) with fresh symbol all_1520_0 gives:
% 275.87/45.74 | (839) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1520_0 &
% 275.87/45.74 | fun_int_bool(all_1520_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.74 | : ! [v3: fun_int_bool] : ! [v4: int] : ! [v5: bool] : ( ~
% 275.87/45.74 | (times_times_int(v2, v0) = v4) | ~
% 275.87/45.74 | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v3) | ~
% 275.87/45.74 | (hAPP_int_bool(v3, v4) = v5) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.87/45.74 | | ~ hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ? [v8: bool] : ?
% 275.87/45.74 | [v9: bool] : ((hAPP_int_bool(v3, v2) = v8 & bool(v8) & hBOOL(v8)) |
% 275.87/45.74 | (hAPP_int_bool(v3, v0) = v9 & bool(v9) & hBOOL(v9)) |
% 275.87/45.74 | (hAPP_int_bool(all_1520_0, v2) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 275.87/45.74 | (hAPP_int_bool(zprime, v1) = v7 & bool(v7) & ~ hBOOL(v7))))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (839) implies:
% 275.87/45.74 | (840) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1520_0
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (130) with fresh symbol all_1523_0 gives:
% 275.87/45.74 | (841) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1523_0 &
% 275.87/45.74 | fun_int_bool(all_1523_0) & ! [v0: nat] : ! [v1: int] : ! [v2: int]
% 275.87/45.74 | : ! [v3: int] : (v3 = v2 | ~ (number_number_of_int(v1) = v2) | ~
% 275.87/45.74 | (hAPP_nat_int(semiri1621563631at_int, v0) = v3) | ~ nat(v0) | ~
% 275.87/45.74 | int(v1) | ? [v4: nat] : ? [v5: bool] : (( ~ (v4 = v0) & nat_1(v2)
% 275.87/45.74 | = v4 & nat(v4)) | (hAPP_int_bool(all_1523_0, v2) = v5 &
% 275.87/45.74 | bool(v5) & ~ hBOOL(v5)))) & ! [v0: nat] : ! [v1: int] : !
% 275.87/45.74 | [v2: int] : ( ~ (number_number_of_int(v1) = v2) | ~
% 275.87/45.74 | (hAPP_nat_int(semiri1621563631at_int, v0) = v2) | ~ nat(v0) | ~
% 275.87/45.74 | int(v1) | ? [v3: bool] : (nat_1(v2) = v0 &
% 275.87/45.74 | hAPP_int_bool(all_1523_0, v2) = v3 & bool(v3) & hBOOL(v3)))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (841) implies:
% 275.87/45.74 | (842) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1523_0
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (152) with fresh symbol all_1526_0 gives:
% 275.87/45.74 | (843) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1526_0 &
% 275.87/45.74 | fun_int_bool(all_1526_0) & ! [v0: int] : ! [v1: int] : (v1 =
% 275.87/45.74 | one_one_int | ~ (times_times_int(v1, v0) = one_one_int) | ~
% 275.87/45.74 | int(v1) | ~ int(v0) | ? [v2: bool] : (hAPP_int_bool(all_1526_0,
% 275.87/45.74 | v1) = v2 & bool(v2) & ~ hBOOL(v2))) & ! [v0: int] : ! [v1:
% 275.87/45.74 | int] : (v0 = one_one_int | ~ (times_times_int(v1, v0) =
% 275.87/45.74 | one_one_int) | ~ int(v1) | ~ int(v0) | ? [v2: bool] :
% 275.87/45.74 | (hAPP_int_bool(all_1526_0, v1) = v2 & bool(v2) & ~ hBOOL(v2))) &
% 275.87/45.74 | ! [v0: int] : (v0 = one_one_int | ~ (times_times_int(one_one_int,
% 275.87/45.74 | one_one_int) = v0) | ? [v1: bool] : (hAPP_int_bool(all_1526_0,
% 275.87/45.74 | one_one_int) = v1 & bool(v1) & ~ hBOOL(v1)))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (843) implies:
% 275.87/45.74 | (844) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1526_0
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (245) with fresh symbol all_1532_0 gives:
% 275.87/45.74 | (845) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1532_0 &
% 275.87/45.74 | fun_int_bool(all_1532_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.74 | : ! [v3: fun_int_bool] : ! [v4: bool] : (v0 = one_one_int | ~
% 275.87/45.74 | (zcong(v2, one_one_int) = v3) | ~ (times_times_int(v0, v0) = v2) |
% 275.87/45.74 | ~ (hAPP_int_bool(v3, v1) = v4) | ~ int(v1) | ~ int(v0) | ~
% 275.87/45.74 | hBOOL(v4) | ? [v5: bool] : ? [v6: bool] : ? [v7: fun_int_bool] :
% 275.87/45.74 | ? [v8: bool] : ? [v9: int] : ((v9 = v0 & minus_minus_int(v1,
% 275.87/45.74 | one_one_int) = v0) | (hAPP_i1948725293t_bool(ord_less_int,
% 275.87/45.74 | v0) = v7 & hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) &
% 275.87/45.74 | bool(v8) & ~ hBOOL(v8)) | (hAPP_int_bool(all_1532_0, v0) = v6
% 275.87/45.74 | & bool(v6) & ~ hBOOL(v6)) | (hAPP_int_bool(zprime, v1) = v5 &
% 275.87/45.74 | bool(v5) & ~ hBOOL(v5))))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (845) implies:
% 275.87/45.74 | (846) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1532_0
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (36) with fresh symbols all_1535_0, all_1535_1,
% 275.87/45.74 | all_1535_2, all_1535_3 gives:
% 275.87/45.74 | (847) bit1(pls) = all_1535_2 & bit0(all_1535_2) = all_1535_1 &
% 275.87/45.74 | number_number_of_nat(all_1535_1) = all_1535_0 &
% 275.87/45.74 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1535_3 &
% 275.87/45.74 | fun_int_bool(all_1535_3) & nat(all_1535_0) & int(all_1535_1) &
% 275.87/45.74 | int(all_1535_2) & ! [v0: int] : ! [v1: fun_nat_int] : (v0 =
% 275.87/45.74 | zero_zero_int | ~ (power_power_int(v0) = v1) | ~ int(v0) | ?
% 275.87/45.74 | [v2: int] : ? [v3: bool] : (hAPP_nat_int(v1, all_1535_0) = v2 &
% 275.87/45.74 | hAPP_int_bool(all_1535_3, v2) = v3 & int(v2) & bool(v3) &
% 275.87/45.74 | hBOOL(v3))) & ! [v0: fun_nat_int] : ( ~
% 275.87/45.74 | (power_power_int(zero_zero_int) = v0) | ? [v1: int] : ? [v2:
% 275.87/45.74 | bool] : (hAPP_nat_int(v0, all_1535_0) = v1 &
% 275.87/45.74 | hAPP_int_bool(all_1535_3, v1) = v2 & int(v1) & bool(v2) & ~
% 275.87/45.74 | hBOOL(v2)))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (847) implies:
% 275.87/45.74 | (848) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1535_3
% 275.87/45.74 | (849) number_number_of_nat(all_1535_1) = all_1535_0
% 275.87/45.74 | (850) bit0(all_1535_2) = all_1535_1
% 275.87/45.74 | (851) bit1(pls) = all_1535_2
% 275.87/45.74 |
% 275.87/45.74 | DELTA: instantiating (223) with fresh symbols all_1538_0, all_1538_1,
% 275.87/45.74 | all_1538_2, all_1538_3, all_1538_4, all_1538_5, all_1538_6, all_1538_7,
% 275.87/45.74 | all_1538_8, all_1538_9 gives:
% 275.87/45.74 | (852) times_times_int(all_1538_6, m) = all_1538_5 &
% 275.87/45.74 | number_number_of_int(all_1538_7) = all_1538_6 &
% 275.87/45.74 | number_number_of_int(min) = all_1538_2 & bit1(pls) = all_1538_9 &
% 275.87/45.74 | bit0(all_1538_8) = all_1538_7 & bit0(all_1538_9) = all_1538_8 &
% 275.87/45.74 | plus_plus_int(all_1538_5, one_one_int) = all_1538_4 & int(all_1538_2)
% 275.87/45.74 | & int(all_1538_4) & int(all_1538_5) & int(all_1538_6) &
% 275.87/45.74 | int(all_1538_7) & int(all_1538_8) & int(all_1538_9) & (( ~
% 275.87/45.74 | (all_1538_0 = one_one_int) & legendre(all_1538_2, all_1538_4) =
% 275.87/45.74 | all_1538_0 & int(all_1538_0)) | (quadRes(all_1538_4) = all_1538_3
% 275.87/45.74 | & hAPP_int_bool(all_1538_3, all_1538_2) = all_1538_1 &
% 275.87/45.74 | fun_int_bool(all_1538_3) & bool(all_1538_1) & hBOOL(all_1538_1)))
% 275.87/45.74 |
% 275.87/45.74 | ALPHA: (852) implies:
% 275.87/45.74 | (853) plus_plus_int(all_1538_5, one_one_int) = all_1538_4
% 275.87/45.74 | (854) bit0(all_1538_9) = all_1538_8
% 275.87/45.74 | (855) bit0(all_1538_8) = all_1538_7
% 275.87/45.74 | (856) bit1(pls) = all_1538_9
% 275.87/45.74 | (857) number_number_of_int(min) = all_1538_2
% 275.87/45.74 | (858) number_number_of_int(all_1538_7) = all_1538_6
% 275.87/45.74 | (859) times_times_int(all_1538_6, m) = all_1538_5
% 275.87/45.74 | (860) ( ~ (all_1538_0 = one_one_int) & legendre(all_1538_2, all_1538_4) =
% 275.87/45.74 | all_1538_0 & int(all_1538_0)) | (quadRes(all_1538_4) = all_1538_3 &
% 275.87/45.75 | hAPP_int_bool(all_1538_3, all_1538_2) = all_1538_1 &
% 275.87/45.75 | fun_int_bool(all_1538_3) & bool(all_1538_1) & hBOOL(all_1538_1))
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (28) with fresh symbols all_1540_0, all_1540_1,
% 275.87/45.75 | all_1540_2 gives:
% 275.87/45.75 | (861) bit1(pls) = all_1540_1 & hAPP_i1948725293t_bool(ord_less_int,
% 275.87/45.75 | all_1540_1) = all_1540_0 & hAPP_i1948725293t_bool(ord_less_int,
% 275.87/45.75 | one_one_int) = all_1540_2 & fun_int_bool(all_1540_0) &
% 275.87/45.75 | fun_int_bool(all_1540_2) & int(all_1540_1) & ! [v0: int] : ! [v1:
% 275.87/45.75 | bool] : ( ~ (hAPP_int_bool(all_1540_0, v0) = v1) | ~ int(v0) | ~
% 275.87/45.75 | hBOOL(v1) | ? [v2: int] : ? [v3: bool] :
% 275.87/45.75 | (number_number_of_int(v0) = v2 & hAPP_int_bool(all_1540_2, v2) = v3
% 275.87/45.75 | & int(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1: bool]
% 275.87/45.75 | : ( ~ (hAPP_int_bool(all_1540_0, v0) = v1) | ~ int(v0) | hBOOL(v1) |
% 275.87/45.75 | ? [v2: int] : ? [v3: bool] : (number_number_of_int(v0) = v2 &
% 275.87/45.75 | hAPP_int_bool(all_1540_2, v2) = v3 & int(v2) & bool(v3) & ~
% 275.87/45.75 | hBOOL(v3)))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (861) implies:
% 275.87/45.75 | (862) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1540_2
% 275.87/45.75 | (863) bit1(pls) = all_1540_1
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (135) with fresh symbols all_1543_0, all_1543_1,
% 275.87/45.75 | all_1543_2 gives:
% 275.87/45.75 | (864) bit1(pls) = all_1543_1 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.87/45.75 | all_1543_1) = all_1543_0 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.87/45.75 | one_one_int) = all_1543_2 & fun_int_bool(all_1543_0) &
% 275.87/45.75 | fun_int_bool(all_1543_2) & int(all_1543_1) & ! [v0: int] : ! [v1:
% 275.87/45.75 | bool] : ( ~ (hAPP_int_bool(all_1543_0, v0) = v1) | ~ int(v0) | ~
% 275.87/45.75 | hBOOL(v1) | ? [v2: int] : ? [v3: bool] :
% 275.87/45.75 | (number_number_of_int(v0) = v2 & hAPP_int_bool(all_1543_2, v2) = v3
% 275.87/45.75 | & int(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1: bool]
% 275.87/45.75 | : ( ~ (hAPP_int_bool(all_1543_0, v0) = v1) | ~ int(v0) | hBOOL(v1) |
% 275.87/45.75 | ? [v2: int] : ? [v3: bool] : (number_number_of_int(v0) = v2 &
% 275.87/45.75 | hAPP_int_bool(all_1543_2, v2) = v3 & int(v2) & bool(v3) & ~
% 275.87/45.75 | hBOOL(v3)))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (864) implies:
% 275.87/45.75 | (865) bit1(pls) = all_1543_1
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (271) with fresh symbols all_1546_0, all_1546_1,
% 275.87/45.75 | all_1546_2 gives:
% 275.87/45.75 | (866) bit1(pls) = all_1546_2 & bit0(all_1546_2) = all_1546_1 &
% 275.87/45.75 | number_number_of_nat(all_1546_1) = all_1546_0 & nat(all_1546_0) &
% 275.87/45.75 | int(all_1546_1) & int(all_1546_2) & ! [v0: real] : ! [v1: real] : (
% 275.87/45.75 | ~ (abs_abs_real(v0) = v1) | ~ real(v0) | ? [v2: fun_real_bool] :
% 275.87/45.75 | ? [v3: bool] : ? [v4: fun_nat_real] : ? [v5: real] : ? [v6:
% 275.87/45.75 | fun_real_bool] : ? [v7: bool] :
% 275.87/45.75 | ((hAPP_r1134773055l_bool(ord_less_real, v5) = v6 &
% 275.87/45.75 | hAPP_real_bool(v6, one_one_real) = v7 & power_power_real(v0) =
% 275.87/45.75 | v4 & hAPP_nat_real(v4, all_1546_0) = v5 & fun_real_bool(v6) &
% 275.87/45.75 | fun_nat_real(v4) & real(v5) & bool(v7) & hBOOL(v7)) |
% 275.87/45.75 | (hAPP_r1134773055l_bool(ord_less_real, v1) = v2 &
% 275.87/45.75 | hAPP_real_bool(v2, one_one_real) = v3 & fun_real_bool(v2) &
% 275.87/45.75 | bool(v3) & ~ hBOOL(v3))))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (866) implies:
% 275.87/45.75 | (867) number_number_of_nat(all_1546_1) = all_1546_0
% 275.87/45.75 | (868) bit0(all_1546_2) = all_1546_1
% 275.87/45.75 | (869) bit1(pls) = all_1546_2
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (37) with fresh symbols all_1549_0, all_1549_1,
% 275.87/45.75 | all_1549_2, all_1549_3 gives:
% 275.87/45.75 | (870) hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = all_1549_3 &
% 275.87/45.75 | bit1(pls) = all_1549_2 & bit0(all_1549_2) = all_1549_1 &
% 275.87/45.75 | number_number_of_nat(all_1549_1) = all_1549_0 &
% 275.87/45.75 | fun_real_bool(all_1549_3) & nat(all_1549_0) & int(all_1549_1) &
% 275.87/45.75 | int(all_1549_2) & ! [v0: real] : ! [v1: fun_nat_real] : (v0 =
% 275.87/45.75 | zero_zero_real | ~ (power_power_real(v0) = v1) | ~ real(v0) | ?
% 275.87/45.75 | [v2: real] : ? [v3: bool] : (hAPP_real_bool(all_1549_3, v2) = v3 &
% 275.87/45.75 | hAPP_nat_real(v1, all_1549_0) = v2 & real(v2) & bool(v3) &
% 275.87/45.75 | hBOOL(v3))) & ! [v0: fun_nat_real] : ( ~
% 275.87/45.75 | (power_power_real(zero_zero_real) = v0) | ? [v1: real] : ? [v2:
% 275.87/45.75 | bool] : (hAPP_real_bool(all_1549_3, v1) = v2 & hAPP_nat_real(v0,
% 275.87/45.75 | all_1549_0) = v1 & real(v1) & bool(v2) & ~ hBOOL(v2)))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (870) implies:
% 275.87/45.75 | (871) number_number_of_nat(all_1549_1) = all_1549_0
% 275.87/45.75 | (872) bit0(all_1549_2) = all_1549_1
% 275.87/45.75 | (873) bit1(pls) = all_1549_2
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (200) with fresh symbols all_1552_0, all_1552_1,
% 275.87/45.75 | all_1552_2, all_1552_3, all_1552_4, all_1552_5, all_1552_6, all_1552_7,
% 275.87/45.75 | all_1552_8, all_1552_9, all_1552_10 gives:
% 275.87/45.75 | (874) times_times_int(all_1552_1, all_1552_0) = all_1552_5 &
% 275.87/45.75 | times_times_int(all_1552_3, m) = all_1552_2 &
% 275.87/45.75 | number_number_of_int(all_1552_4) = all_1552_3 & bit1(pls) =
% 275.87/45.75 | all_1552_9 & bit0(all_1552_8) = all_1552_4 & bit0(all_1552_9) =
% 275.87/45.75 | all_1552_8 & number_number_of_nat(all_1552_8) = all_1552_7 &
% 275.87/45.75 | power_power_int(s) = all_1552_10 & hAPP_nat_int(all_1552_10,
% 275.87/45.75 | all_1552_7) = all_1552_6 & plus_plus_int(all_1552_2, one_one_int) =
% 275.87/45.75 | all_1552_1 & plus_plus_int(all_1552_6, one_one_int) = all_1552_5 &
% 275.87/45.75 | fun_nat_int(all_1552_10) & nat(all_1552_7) & int(all_1552_0) &
% 275.87/45.75 | int(all_1552_1) & int(all_1552_2) & int(all_1552_3) & int(all_1552_4)
% 275.87/45.75 | & int(all_1552_5) & int(all_1552_6) & int(all_1552_8) &
% 275.87/45.75 | int(all_1552_9)
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (874) implies:
% 275.87/45.75 | (875) plus_plus_int(all_1552_2, one_one_int) = all_1552_1
% 275.87/45.75 | (876) number_number_of_nat(all_1552_8) = all_1552_7
% 275.87/45.75 | (877) bit0(all_1552_9) = all_1552_8
% 275.87/45.75 | (878) bit0(all_1552_8) = all_1552_4
% 275.87/45.75 | (879) bit1(pls) = all_1552_9
% 275.87/45.75 | (880) number_number_of_int(all_1552_4) = all_1552_3
% 275.87/45.75 | (881) times_times_int(all_1552_3, m) = all_1552_2
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (29) with fresh symbols all_1554_0, all_1554_1,
% 275.87/45.75 | all_1554_2 gives:
% 275.87/45.75 | (882) hAPP_r1134773055l_bool(ord_less_real, one_one_real) = all_1554_2 &
% 275.87/45.75 | bit1(pls) = all_1554_1 & hAPP_i1948725293t_bool(ord_less_int,
% 275.87/45.75 | all_1554_1) = all_1554_0 & fun_real_bool(all_1554_2) &
% 275.87/45.75 | fun_int_bool(all_1554_0) & int(all_1554_1) & ! [v0: int] : ! [v1:
% 275.87/45.75 | bool] : ( ~ (hAPP_int_bool(all_1554_0, v0) = v1) | ~ int(v0) | ~
% 275.87/45.75 | hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.75 | (hAPP_real_bool(all_1554_2, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.75 | v2 & real(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1:
% 275.87/45.75 | bool] : ( ~ (hAPP_int_bool(all_1554_0, v0) = v1) | ~ int(v0) |
% 275.87/45.75 | hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.75 | (hAPP_real_bool(all_1554_2, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.75 | v2 & real(v2) & bool(v3) & ~ hBOOL(v3)))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (882) implies:
% 275.87/45.75 | (883) bit1(pls) = all_1554_1
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (167) with fresh symbols all_1557_0, all_1557_1 gives:
% 275.87/45.75 | (884) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1557_1 &
% 275.87/45.75 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1557_0 &
% 275.87/45.75 | fun_int_bool(all_1557_0) & fun_int_bool(all_1557_1) & ! [v0: int] :
% 275.87/45.75 | ! [v1: int] : ! [v2: int] : ! [v3: fun_int_bool] : ! [v4: bool] :
% 275.87/45.75 | ! [v5: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v2) = v3) |
% 275.87/45.75 | ~ (hAPP_int_bool(v3, v0) = v4) | ~ (hAPP_int_bool(all_1557_1, v1)
% 275.87/45.75 | = v5) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v4) |
% 275.87/45.75 | hBOOL(v5) | ? [v6: int] : ? [v7: int] : ? [v8: bool] : ? [v9:
% 275.87/45.75 | bool] : ((times_times_int(v0, v1) = v6 & plus_plus_int(v6, v2) =
% 275.87/45.75 | v7 & hAPP_int_bool(all_1557_1, v7) = v8 & int(v7) & int(v6) &
% 275.87/45.75 | bool(v8) & ~ hBOOL(v8)) | (hAPP_int_bool(all_1557_0, v0) = v9
% 275.87/45.75 | & bool(v9) & ~ hBOOL(v9))))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (884) implies:
% 275.87/45.75 | (885) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1557_0
% 275.87/45.75 | (886) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1557_1
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (134) with fresh symbols all_1560_0, all_1560_1,
% 275.87/45.75 | all_1560_2 gives:
% 275.87/45.75 | (887) hAPP_r1134773055l_bool(ord_less_eq_real, one_one_real) = all_1560_2 &
% 275.87/45.75 | bit1(pls) = all_1560_1 & hAPP_i1948725293t_bool(ord_less_eq_int,
% 275.87/45.75 | all_1560_1) = all_1560_0 & fun_real_bool(all_1560_2) &
% 275.87/45.75 | fun_int_bool(all_1560_0) & int(all_1560_1) & ! [v0: int] : ! [v1:
% 275.87/45.75 | bool] : ( ~ (hAPP_int_bool(all_1560_0, v0) = v1) | ~ int(v0) | ~
% 275.87/45.75 | hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.75 | (hAPP_real_bool(all_1560_2, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.75 | v2 & real(v2) & bool(v3) & hBOOL(v3))) & ! [v0: int] : ! [v1:
% 275.87/45.75 | bool] : ( ~ (hAPP_int_bool(all_1560_0, v0) = v1) | ~ int(v0) |
% 275.87/45.75 | hBOOL(v1) | ? [v2: real] : ? [v3: bool] :
% 275.87/45.75 | (hAPP_real_bool(all_1560_2, v2) = v3 & number267125858f_real(v0) =
% 275.87/45.75 | v2 & real(v2) & bool(v3) & ~ hBOOL(v3)))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (887) implies:
% 275.87/45.75 | (888) bit1(pls) = all_1560_1
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (149) with fresh symbol all_1563_0 gives:
% 275.87/45.75 | (889) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1563_0 &
% 275.87/45.75 | fun_int_bool(all_1563_0) & ! [v0: int] : ! [v1: int] : ! [v2: nat]
% 275.87/45.75 | : ! [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 275.87/45.75 | (nat_1(v1) = v4) | ~ (nat_1(v0) = v2) | ~
% 275.87/45.75 | (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) | ~
% 275.87/45.75 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | ? [v6:
% 275.87/45.75 | bool] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 275.87/45.75 | ((hAPP_int_bool(all_1563_0, v1) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 275.87/45.75 | (( ~ hBOOL(v5) | (hAPP_i1948725293t_bool(ord_less_int, v0) = v7 &
% 275.87/45.75 | hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) & bool(v8) &
% 275.87/45.75 | hBOOL(v8))) & (hBOOL(v5) |
% 275.87/45.75 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v7 &
% 275.87/45.75 | hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) & bool(v8) &
% 275.87/45.75 | ~ hBOOL(v8))))))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (889) implies:
% 275.87/45.75 | (890) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1563_0
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (232) with fresh symbols all_1566_0, all_1566_1,
% 275.87/45.75 | all_1566_2, all_1566_3, all_1566_4 gives:
% 275.87/45.75 | (891) number_number_of_int(all_1566_3) = all_1566_2 &
% 275.87/45.75 | number_number_of_int(min) = all_1566_0 & bit1(pls) = all_1566_4 &
% 275.87/45.75 | bit0(all_1566_4) = all_1566_3 & hAPP_i1948725293t_bool(ord_less_int,
% 275.87/45.75 | all_1566_2) = all_1566_1 & fun_int_bool(all_1566_1) &
% 275.87/45.75 | int(all_1566_0) & int(all_1566_2) & int(all_1566_3) & int(all_1566_4)
% 275.87/45.75 | & ! [v0: int] : ! [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool]
% 275.87/45.75 | : ( ~ (zcong(v0, all_1566_0) = v2) | ~ (hAPP_int_bool(v2, v1) = v3)
% 275.87/45.75 | | ~ int(v1) | ~ int(v0) | ~ hBOOL(v3) | ? [v4: bool] : ? [v5:
% 275.87/45.75 | fun_int_bool] : ? [v6: bool] : ((zcong(v0, one_one_int) = v5 &
% 275.87/45.75 | hAPP_int_bool(v5, v1) = v6 & fun_int_bool(v5) & bool(v6) & ~
% 275.87/45.75 | hBOOL(v6)) | (hAPP_int_bool(all_1566_1, v1) = v4 & bool(v4) &
% 275.87/45.75 | ~ hBOOL(v4))))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (891) implies:
% 275.87/45.75 | (892) bit0(all_1566_4) = all_1566_3
% 275.87/45.75 | (893) bit1(pls) = all_1566_4
% 275.87/45.75 | (894) number_number_of_int(min) = all_1566_0
% 275.87/45.75 | (895) number_number_of_int(all_1566_3) = all_1566_2
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (83) with fresh symbol all_1572_0 gives:
% 275.87/45.75 | (896) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1572_0 &
% 275.87/45.75 | fun_int_bool(all_1572_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.87/45.75 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1572_0, v1) = v2) |
% 275.87/45.75 | ~ (hAPP_int_bool(all_1572_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.87/45.75 | ? [v4: fun_int_bool] : ? [v5: bool] : ? [v6: fun_int_bool] : ?
% 275.87/45.75 | [v7: bool] : ? [v8: int] : ? [v9: bool] : ((times_times_int(v1,
% 275.87/45.75 | v0) = v8 & hAPP_int_bool(all_1572_0, v8) = v9 & int(v8) &
% 275.87/45.75 | bool(v9) & hBOOL(v9)) | (( ~ hBOOL(v3) | ~ hBOOL(v2)) &
% 275.87/45.75 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4 &
% 275.87/45.75 | hAPP_int_bool(v4, zero_zero_int) = v5 & fun_int_bool(v4) &
% 275.87/45.75 | bool(v5) & ~ hBOOL(v5)) |
% 275.87/45.75 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v6 &
% 275.87/45.75 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 275.87/45.75 | bool(v7) & ~ hBOOL(v7))))))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (896) implies:
% 275.87/45.75 | (897) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1572_0
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (246) with fresh symbol all_1575_0 gives:
% 275.87/45.75 | (898) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1575_0 &
% 275.87/45.75 | fun_int_bool(all_1575_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.75 | : ! [v3: fun_int_bool] : ! [v4: bool] : ! [v5: bool] : ( ~
% 275.87/45.75 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v3) | ~
% 275.87/45.75 | (hAPP_int_bool(v3, v1) = v4) | ~ (hAPP_int_bool(all_1575_0, v0) =
% 275.87/45.75 | v5) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v5) | ~
% 275.87/45.75 | hBOOL(v4) | ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 275.87/45.75 | ? [v9: fun_int_bool] : ? [v10: bool] : ((zcong(v2, v0) = v9 &
% 275.87/45.75 | hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 275.87/45.75 | hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_int, v0) = v7 &
% 275.87/45.75 | hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 275.87/45.75 | hBOOL(v8)) | (hAPP_int_bool(all_1575_0, v2) = v6 & bool(v6) &
% 275.87/45.75 | ~ hBOOL(v6))))
% 275.87/45.75 |
% 275.87/45.75 | ALPHA: (898) implies:
% 275.87/45.75 | (899) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1575_0
% 275.87/45.75 |
% 275.87/45.75 | DELTA: instantiating (120) with fresh symbol all_1578_0 gives:
% 275.87/45.76 | (900) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1578_0 &
% 275.87/45.76 | fun_int_bool(all_1578_0) & ! [v0: int] : ! [v1: int] : ! [v2: nat]
% 275.87/45.76 | : ! [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 275.87/45.76 | (nat_1(v1) = v2) | ~ (nat_1(v0) = v4) | ~
% 275.87/45.76 | (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) | ~
% 275.87/45.76 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | ? [v6:
% 275.87/45.76 | bool] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 275.87/45.76 | ((hAPP_int_bool(all_1578_0, v1) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 275.87/45.76 | (( ~ hBOOL(v5) | (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 &
% 275.87/45.76 | hAPP_int_bool(v7, v0) = v8 & fun_int_bool(v7) & bool(v8) &
% 275.87/45.76 | hBOOL(v8))) & (hBOOL(v5) |
% 275.87/45.76 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v7 &
% 275.87/45.76 | hAPP_int_bool(v7, v0) = v8 & fun_int_bool(v7) & bool(v8) &
% 275.87/45.76 | ~ hBOOL(v8))))))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (900) implies:
% 275.87/45.76 | (901) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1578_0
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (188) with fresh symbols all_1581_0, all_1581_1,
% 275.87/45.76 | all_1581_2, all_1581_3, all_1581_4, all_1581_5 gives:
% 275.87/45.76 | (902) number267125858f_real(all_1581_3) = all_1581_2 &
% 275.87/45.76 | number267125858f_real(all_1581_4) = all_1581_0 & bit1(pls) =
% 275.87/45.76 | all_1581_5 & bit0(all_1581_4) = all_1581_3 & bit0(all_1581_5) =
% 275.87/45.76 | all_1581_4 & number_number_of_nat(all_1581_4) = all_1581_1 &
% 275.87/45.76 | real(all_1581_0) & real(all_1581_2) & nat(all_1581_1) &
% 275.87/45.76 | int(all_1581_3) & int(all_1581_4) & int(all_1581_5) & ! [v0: real] :
% 275.87/45.76 | ! [v1: real] : ( ~ (times_times_real(all_1581_0, v0) = v1) | ~
% 275.87/45.76 | real(v0) | ? [v2: fun_nat_real] : ? [v3: real] : ? [v4: real] :
% 275.87/45.76 | ? [v5: fun_nat_real] : (times_times_real(all_1581_2, v3) = v4 &
% 275.87/45.76 | power_power_real(v1) = v5 & power_power_real(v0) = v2 &
% 275.87/45.76 | hAPP_nat_real(v5, all_1581_1) = v4 & hAPP_nat_real(v2,
% 275.87/45.76 | all_1581_1) = v3 & fun_nat_real(v5) & fun_nat_real(v2) &
% 275.87/45.76 | real(v4) & real(v3)))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (902) implies:
% 275.87/45.76 | (903) number_number_of_nat(all_1581_4) = all_1581_1
% 275.87/45.76 | (904) bit0(all_1581_5) = all_1581_4
% 275.87/45.76 | (905) bit0(all_1581_4) = all_1581_3
% 275.87/45.76 | (906) bit1(pls) = all_1581_5
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (233) with fresh symbols all_1587_0, all_1587_1,
% 275.87/45.76 | all_1587_2 gives:
% 275.87/45.76 | (907) bit1(pls) = all_1587_2 & bit0(all_1587_2) = all_1587_1 &
% 275.87/45.76 | number_number_of_nat(all_1587_1) = all_1587_0 & nat(all_1587_0) &
% 275.87/45.76 | int(all_1587_1) & int(all_1587_2) & ! [v0: int] : ! [v1: int] : !
% 275.87/45.76 | [v2: int] : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5:
% 275.87/45.76 | fun_int_bool] : ! [v6: bool] : ( ~ (zcong(v4, v1) = v5) | ~
% 275.87/45.76 | (power_power_int(v0) = v3) | ~ (hAPP_nat_int(v3, all_1587_0) = v4)
% 275.87/45.76 | | ~ (hAPP_int_bool(v5, v2) = v6) | ~ int(v2) | ~ int(v1) | ~
% 275.87/45.76 | int(v0) | ~ hBOOL(v6) | ? [v7: fun_int_bool] : ? [v8: bool] : ?
% 275.87/45.76 | [v9: fun_int_bool] : ? [v10: bool] : ((zcong(v1, zero_zero_int) =
% 275.87/45.76 | v7 & hAPP_int_bool(v7, v2) = v8 & fun_int_bool(v7) & bool(v8) &
% 275.87/45.76 | hBOOL(v8)) | (hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v9 &
% 275.87/45.76 | hAPP_int_bool(v9, v0) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 275.87/45.76 | hBOOL(v10))))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (907) implies:
% 275.87/45.76 | (908) number_number_of_nat(all_1587_1) = all_1587_0
% 275.87/45.76 | (909) bit0(all_1587_2) = all_1587_1
% 275.87/45.76 | (910) bit1(pls) = all_1587_2
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (256) with fresh symbols all_1593_0, all_1593_1,
% 275.87/45.76 | all_1593_2, all_1593_3, all_1593_4, all_1593_5, all_1593_6, all_1593_7,
% 275.87/45.76 | all_1593_8, all_1593_9, all_1593_10, all_1593_11 gives:
% 275.87/45.76 | (911) abs_abs_int(all_1593_5) = all_1593_3 & minus_minus_int(y, all_1593_4)
% 275.87/45.76 | = all_1593_5 & times_times_int(all_1593_6, all_1593_10) = all_1593_4
% 275.87/45.76 | & times_times_int(all_1593_7, all_1593_3) = all_1593_2 &
% 275.87/45.76 | number_number_of_int(all_1593_8) = all_1593_7 & bit1(pls) =
% 275.87/45.76 | all_1593_9 & bit0(all_1593_9) = all_1593_8 &
% 275.87/45.76 | hAPP_i1948725293t_bool(ord_less_eq_int, all_1593_2) = all_1593_1 &
% 275.87/45.76 | hAPP_nat_int(semiri1621563631at_int, n) = all_1593_11 &
% 275.87/45.76 | plus_plus_int(one_one_int, all_1593_11) = all_1593_10 &
% 275.87/45.76 | hAPP_int_bool(all_1593_1, all_1593_10) = all_1593_0 &
% 275.87/45.76 | fun_int_bool(all_1593_1) & int(all_1593_2) & int(all_1593_3) &
% 275.87/45.76 | int(all_1593_4) & int(all_1593_5) & int(all_1593_6) & int(all_1593_7)
% 275.87/45.76 | & int(all_1593_8) & int(all_1593_9) & int(all_1593_10) &
% 275.87/45.76 | int(all_1593_11) & bool(all_1593_0) & hBOOL(all_1593_0)
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (911) implies:
% 275.87/45.76 | (912) plus_plus_int(one_one_int, all_1593_11) = all_1593_10
% 275.87/45.76 | (913) hAPP_nat_int(semiri1621563631at_int, n) = all_1593_11
% 275.87/45.76 | (914) bit0(all_1593_9) = all_1593_8
% 275.87/45.76 | (915) bit1(pls) = all_1593_9
% 275.87/45.76 | (916) number_number_of_int(all_1593_8) = all_1593_7
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (248) with fresh symbol all_1598_0 gives:
% 275.87/45.76 | (917) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1598_0 &
% 275.87/45.76 | fun_int_bool(all_1598_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.76 | : ! [v3: fun_int_bool] : ! [v4: bool] : ! [v5: bool] : (v2 = v0 |
% 275.87/45.76 | ~ (hAPP_i1948725293t_bool(ord_less_int, v2) = v3) | ~
% 275.87/45.76 | (hAPP_int_bool(v3, v1) = v4) | ~ (hAPP_int_bool(all_1598_0, v0) =
% 275.87/45.76 | v5) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v5) | ~
% 275.87/45.76 | hBOOL(v4) | ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 275.87/45.76 | ? [v9: fun_int_bool] : ? [v10: bool] : ((zcong(v2, v0) = v9 &
% 275.87/45.76 | hAPP_int_bool(v9, v1) = v10 & fun_int_bool(v9) & bool(v10) & ~
% 275.87/45.76 | hBOOL(v10)) | (hAPP_i1948725293t_bool(ord_less_int, v0) = v7 &
% 275.87/45.76 | hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 275.87/45.76 | hBOOL(v8)) | (hAPP_int_bool(all_1598_0, v2) = v6 & bool(v6) &
% 275.87/45.76 | ~ hBOOL(v6))))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (917) implies:
% 275.87/45.76 | (918) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1598_0
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (75) with fresh symbols all_1604_0, all_1604_1,
% 275.87/45.76 | all_1604_2, all_1604_3 gives:
% 275.87/45.76 | (919) number_number_of_int(all_1604_2) = all_1604_0 & bit1(pls) =
% 275.87/45.76 | all_1604_3 & bit0(all_1604_3) = all_1604_2 &
% 275.87/45.76 | number_number_of_nat(all_1604_2) = all_1604_1 & nat(all_1604_1) &
% 275.87/45.76 | int(all_1604_0) & int(all_1604_2) & int(all_1604_3) & ! [v0: int] :
% 275.87/45.76 | ! [v1: int] : ! [v2: fun_nat_int] : ! [v3: int] : ! [v4: int] : !
% 275.87/45.76 | [v5: int] : ! [v6: int] : ! [v7: fun_nat_int] : ! [v8: int] : !
% 275.87/45.76 | [v9: int] : ( ~ (times_times_int(v4, v1) = v5) | ~
% 275.87/45.76 | (times_times_int(all_1604_0, v0) = v4) | ~ (power_power_int(v1) =
% 275.87/45.76 | v7) | ~ (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v7,
% 275.87/45.76 | all_1604_1) = v8) | ~ (hAPP_nat_int(v2, all_1604_1) = v3) | ~
% 275.87/45.76 | (plus_plus_int(v6, v8) = v9) | ~ (plus_plus_int(v3, v5) = v6) | ~
% 275.87/45.76 | int(v1) | ~ int(v0) | ? [v10: int] : ? [v11: fun_nat_int] :
% 275.87/45.76 | (power_power_int(v10) = v11 & hAPP_nat_int(v11, all_1604_1) = v9 &
% 275.87/45.76 | plus_plus_int(v0, v1) = v10 & fun_nat_int(v11) & int(v10) &
% 275.87/45.76 | int(v9)))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (919) implies:
% 275.87/45.76 | (920) number_number_of_nat(all_1604_2) = all_1604_1
% 275.87/45.76 | (921) bit0(all_1604_3) = all_1604_2
% 275.87/45.76 | (922) bit1(pls) = all_1604_3
% 275.87/45.76 | (923) number_number_of_int(all_1604_2) = all_1604_0
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (252) with fresh symbols all_1610_0, all_1610_1,
% 275.87/45.76 | all_1610_2, all_1610_3, all_1610_4, all_1610_5, all_1610_6, all_1610_7
% 275.87/45.76 | gives:
% 275.87/45.76 | (924) number_number_of_int(all_1610_2) = all_1610_1 &
% 275.87/45.76 | number_number_of_int(all_1610_4) = all_1610_3 &
% 275.87/45.76 | number_number_of_int(all_1610_6) = all_1610_5 & bit1(all_1610_6) =
% 275.87/45.76 | all_1610_2 & bit1(all_1610_7) = all_1610_4 & bit1(pls) = all_1610_7 &
% 275.87/45.76 | bit0(all_1610_7) = all_1610_6 &
% 275.87/45.76 | hAPP_i1948725293t_bool(ord_less_eq_int, all_1610_1) = all_1610_0 &
% 275.87/45.76 | fun_int_bool(all_1610_0) & int(all_1610_1) & int(all_1610_2) &
% 275.87/45.76 | int(all_1610_3) & int(all_1610_4) & int(all_1610_5) & int(all_1610_6)
% 275.87/45.76 | & int(all_1610_7) & ! [v0: any] : ! [v1: bool] : (v0 = all_1610_3 |
% 275.87/45.76 | v0 = all_1610_5 | ~ (hAPP_int_bool(all_1610_0, v0) = v1) | ~
% 275.87/45.76 | int(v0) | hBOOL(v1) | ? [v2: bool] : (hAPP_int_bool(zprime, v0) =
% 275.87/45.76 | v2 & bool(v2) & ~ hBOOL(v2)))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (924) implies:
% 275.87/45.76 | (925) bit0(all_1610_7) = all_1610_6
% 275.87/45.76 | (926) bit1(pls) = all_1610_7
% 275.87/45.76 | (927) number_number_of_int(all_1610_6) = all_1610_5
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (193) with fresh symbols all_1613_0, all_1613_1,
% 275.87/45.76 | all_1613_2, all_1613_3 gives:
% 275.87/45.76 | (928) number_number_of_int(all_1613_2) = all_1613_0 & bit1(pls) =
% 275.87/45.76 | all_1613_3 & bit0(all_1613_3) = all_1613_2 &
% 275.87/45.76 | number_number_of_nat(all_1613_2) = all_1613_1 & nat(all_1613_1) &
% 275.87/45.76 | int(all_1613_0) & int(all_1613_2) & int(all_1613_3) & ! [v0: int] :
% 275.87/45.76 | ! [v1: int] : ! [v2: fun_nat_int] : ! [v3: int] : ! [v4: int] : !
% 275.87/45.76 | [v5: int] : ! [v6: int] : ! [v7: fun_nat_int] : ! [v8: int] : !
% 275.87/45.76 | [v9: int] : ( ~ (minus_minus_int(v3, v5) = v6) | ~
% 275.87/45.76 | (times_times_int(v4, v1) = v5) | ~ (times_times_int(all_1613_0,
% 275.87/45.76 | v0) = v4) | ~ (power_power_int(v1) = v7) | ~
% 275.87/45.76 | (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v7, all_1613_1) = v8)
% 275.87/45.76 | | ~ (hAPP_nat_int(v2, all_1613_1) = v3) | ~ (plus_plus_int(v6,
% 275.87/45.76 | v8) = v9) | ~ int(v1) | ~ int(v0) | ? [v10: int] : ? [v11:
% 275.87/45.76 | fun_nat_int] : (minus_minus_int(v0, v1) = v10 &
% 275.87/45.76 | power_power_int(v10) = v11 & hAPP_nat_int(v11, all_1613_1) = v9 &
% 275.87/45.76 | fun_nat_int(v11) & int(v10) & int(v9)))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (928) implies:
% 275.87/45.76 | (929) number_number_of_nat(all_1613_2) = all_1613_1
% 275.87/45.76 | (930) bit0(all_1613_3) = all_1613_2
% 275.87/45.76 | (931) bit1(pls) = all_1613_3
% 275.87/45.76 | (932) number_number_of_int(all_1613_2) = all_1613_0
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (240) with fresh symbols all_1616_0, all_1616_1,
% 275.87/45.76 | all_1616_2, all_1616_3, all_1616_4, all_1616_5 gives:
% 275.87/45.76 | (933) number_number_of_int(all_1616_4) = all_1616_3 &
% 275.87/45.76 | number_number_of_int(min) = all_1616_1 & bit1(pls) = all_1616_5 &
% 275.87/45.76 | bit0(all_1616_5) = all_1616_4 & power_power_int(all_1616_1) =
% 275.87/45.76 | all_1616_0 & hAPP_i1948725293t_bool(ord_less_int, all_1616_3) =
% 275.87/45.76 | all_1616_2 & fun_nat_int(all_1616_0) & fun_int_bool(all_1616_2) &
% 275.87/45.76 | int(all_1616_1) & int(all_1616_3) & int(all_1616_4) & int(all_1616_5)
% 275.87/45.76 | & ! [v0: nat] : ! [v1: nat] : ! [v2: int] : ! [v3: int] : ! [v4:
% 275.87/45.76 | int] : ! [v5: fun_int_bool] : ! [v6: bool] : (v4 = v3 | ~
% 275.87/45.76 | (zcong(v3, v4) = v5) | ~ (hAPP_nat_int(all_1616_0, v1) = v4) | ~
% 275.87/45.76 | (hAPP_nat_int(all_1616_0, v0) = v3) | ~ (hAPP_int_bool(v5, v2) =
% 275.87/45.76 | v6) | ~ nat(v1) | ~ nat(v0) | ~ int(v2) | ~ hBOOL(v6) | ?
% 275.87/45.76 | [v7: bool] : (hAPP_int_bool(all_1616_2, v2) = v7 & bool(v7) & ~
% 275.87/45.76 | hBOOL(v7)))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (933) implies:
% 275.87/45.76 | (934) bit0(all_1616_5) = all_1616_4
% 275.87/45.76 | (935) bit1(pls) = all_1616_5
% 275.87/45.76 | (936) number_number_of_int(min) = all_1616_1
% 275.87/45.76 | (937) number_number_of_int(all_1616_4) = all_1616_3
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (168) with fresh symbols all_1622_0, all_1622_1 gives:
% 275.87/45.76 | (938) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1622_1 &
% 275.87/45.76 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1622_0 &
% 275.87/45.76 | fun_int_bool(all_1622_0) & fun_int_bool(all_1622_1) & ! [v0: int] :
% 275.87/45.76 | ! [v1: int] : ! [v2: int] : ! [v3: bool] : ! [v4: bool] : ! [v5:
% 275.87/45.76 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 275.87/45.76 | v5) | ~ (hAPP_int_bool(all_1622_0, v0) = v4) | ~
% 275.87/45.76 | (hAPP_int_bool(all_1622_1, v2) = v3) | ~ int(v2) | ~ int(v1) | ~
% 275.87/45.76 | int(v0) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v6: int] : ? [v7: int]
% 275.87/45.76 | : ? [v8: fun_int_bool] : ? [v9: bool] : ? [v10: bool] :
% 275.87/45.76 | ((times_times_int(v0, v1) = v6 &
% 275.87/45.76 | hAPP_i1948725293t_bool(ord_less_int, v7) = v8 &
% 275.87/45.76 | plus_plus_int(v6, v2) = v7 & hAPP_int_bool(v8, zero_zero_int) =
% 275.87/45.76 | v9 & fun_int_bool(v8) & int(v7) & int(v6) & bool(v9) & ~
% 275.87/45.76 | hBOOL(v9)) | (hAPP_int_bool(v5, zero_zero_int) = v10 &
% 275.87/45.76 | bool(v10) & hBOOL(v10))))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (938) implies:
% 275.87/45.76 | (939) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1622_0
% 275.87/45.76 | (940) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1622_1
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (123) with fresh symbol all_1634_0 gives:
% 275.87/45.76 | (941) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1634_0 &
% 275.87/45.76 | fun_int_bool(all_1634_0) & ! [v0: int] : ! [v1: nat] : ! [v2: nat]
% 275.87/45.76 | : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.87/45.76 | [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v0) = v3) | ~
% 275.87/45.76 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 275.87/45.76 | (hAPP_nat_int(v3, v2) = v4) | ~ (hAPP_nat_int(v3, v1) = v6) | ~
% 275.87/45.76 | (hAPP_int_bool(v5, v6) = v7) | ~ nat(v2) | ~ nat(v1) | ~ int(v0)
% 275.87/45.76 | | hBOOL(v7) | ? [v8: fun_nat_bool] : ? [v9: bool] : ? [v10:
% 275.87/45.76 | bool] : ? [v11: fun_int_bool] : ? [v12: bool] :
% 275.87/45.76 | ((hAPP_n1699378549t_bool(ord_less_eq_nat, v1) = v8 &
% 275.87/45.76 | hAPP_nat_bool(v8, v2) = v9 & fun_nat_bool(v8) & bool(v9) & ~
% 275.87/45.76 | hBOOL(v9)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v11
% 275.87/45.76 | & hAPP_int_bool(v11, one_one_int) = v12 & fun_int_bool(v11) &
% 275.87/45.76 | bool(v12) & ~ hBOOL(v12)) | (hAPP_int_bool(all_1634_0, v0) =
% 275.87/45.76 | v10 & bool(v10) & ~ hBOOL(v10))))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (941) implies:
% 275.87/45.76 | (942) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1634_0
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (107) with fresh symbol all_1640_0 gives:
% 275.87/45.76 | (943) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1640_0 &
% 275.87/45.76 | fun_int_bool(all_1640_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.76 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool]
% 275.87/45.76 | : ( ~ (times_times_int(v2, v1) = v5) | ~ (times_times_int(v2, v0) =
% 275.87/45.76 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4) | ~
% 275.87/45.76 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~ int(v0)
% 275.87/45.76 | | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 275.87/45.76 | ((hAPP_int_bool(all_1640_0, v2) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.87/45.76 | (( ~ hBOOL(v6) | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 275.87/45.76 | v8 & hAPP_int_bool(v8, v1) = v9 & fun_int_bool(v8) &
% 275.87/45.76 | bool(v9) & hBOOL(v9))) & (hBOOL(v6) |
% 275.87/45.76 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v8 &
% 275.87/45.76 | hAPP_int_bool(v8, v1) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.87/45.76 | ~ hBOOL(v9))))))
% 275.87/45.76 |
% 275.87/45.76 | ALPHA: (943) implies:
% 275.87/45.76 | (944) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1640_0
% 275.87/45.76 |
% 275.87/45.76 | DELTA: instantiating (257) with fresh symbols all_1643_0, all_1643_1,
% 275.87/45.76 | all_1643_2, all_1643_3, all_1643_4, all_1643_5, all_1643_6, all_1643_7,
% 275.87/45.76 | all_1643_8, all_1643_9, all_1643_10, all_1643_11 gives:
% 275.87/45.77 | (945) abs_abs_int(all_1643_5) = all_1643_3 & minus_minus_int(x, all_1643_4)
% 275.87/45.77 | = all_1643_5 & times_times_int(all_1643_6, all_1643_10) = all_1643_4
% 275.87/45.77 | & times_times_int(all_1643_7, all_1643_3) = all_1643_2 &
% 275.87/45.77 | number_number_of_int(all_1643_8) = all_1643_7 & bit1(pls) =
% 275.87/45.77 | all_1643_9 & bit0(all_1643_9) = all_1643_8 &
% 275.87/45.77 | hAPP_i1948725293t_bool(ord_less_eq_int, all_1643_2) = all_1643_1 &
% 275.87/45.77 | hAPP_nat_int(semiri1621563631at_int, n) = all_1643_11 &
% 275.87/45.77 | plus_plus_int(one_one_int, all_1643_11) = all_1643_10 &
% 275.87/45.77 | hAPP_int_bool(all_1643_1, all_1643_10) = all_1643_0 &
% 275.87/45.77 | fun_int_bool(all_1643_1) & int(all_1643_2) & int(all_1643_3) &
% 275.87/45.77 | int(all_1643_4) & int(all_1643_5) & int(all_1643_6) & int(all_1643_7)
% 275.87/45.77 | & int(all_1643_8) & int(all_1643_9) & int(all_1643_10) &
% 275.87/45.77 | int(all_1643_11) & bool(all_1643_0) & hBOOL(all_1643_0)
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (945) implies:
% 275.87/45.77 | (946) plus_plus_int(one_one_int, all_1643_11) = all_1643_10
% 275.87/45.77 | (947) hAPP_nat_int(semiri1621563631at_int, n) = all_1643_11
% 275.87/45.77 | (948) bit0(all_1643_9) = all_1643_8
% 275.87/45.77 | (949) bit1(pls) = all_1643_9
% 275.87/45.77 | (950) number_number_of_int(all_1643_8) = all_1643_7
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (203) with fresh symbols all_1645_0, all_1645_1,
% 275.87/45.77 | all_1645_2, all_1645_3 gives:
% 275.87/45.77 | (951) number267125858f_real(all_1645_2) = all_1645_0 & bit1(pls) =
% 275.87/45.77 | all_1645_3 & bit0(all_1645_3) = all_1645_2 &
% 275.87/45.77 | number_number_of_nat(all_1645_2) = all_1645_1 & real(all_1645_0) &
% 275.87/45.77 | nat(all_1645_1) & int(all_1645_2) & int(all_1645_3) & ! [v0: real] :
% 275.87/45.77 | ! [v1: real] : ! [v2: fun_nat_real] : ! [v3: real] : ! [v4:
% 275.87/45.77 | fun_nat_real] : ! [v5: real] : ! [v6: real] : ! [v7: real] : !
% 275.87/45.77 | [v8: real] : ! [v9: real] : ( ~ (times_times_real(v7, v1) = v8) | ~
% 275.87/45.77 | (times_times_real(all_1645_0, v0) = v7) | ~ (power_power_real(v1)
% 275.87/45.77 | = v4) | ~ (power_power_real(v0) = v2) | ~ (hAPP_nat_real(v4,
% 275.87/45.77 | all_1645_1) = v5) | ~ (hAPP_nat_real(v2, all_1645_1) = v3) |
% 275.87/45.77 | ~ (plus_plus_real(v6, v8) = v9) | ~ (plus_plus_real(v3, v5) = v6)
% 275.87/45.77 | | ~ real(v1) | ~ real(v0) | ? [v10: real] : ? [v11:
% 275.87/45.77 | fun_nat_real] : (power_power_real(v10) = v11 & hAPP_nat_real(v11,
% 275.87/45.77 | all_1645_1) = v9 & plus_plus_real(v0, v1) = v10 &
% 275.87/45.77 | fun_nat_real(v11) & real(v10) & real(v9)))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (951) implies:
% 275.87/45.77 | (952) number_number_of_nat(all_1645_2) = all_1645_1
% 275.87/45.77 | (953) bit0(all_1645_3) = all_1645_2
% 275.87/45.77 | (954) bit1(pls) = all_1645_3
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (55) with fresh symbol all_1651_0 gives:
% 275.87/45.77 | (955) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1651_0 &
% 275.87/45.77 | fun_int_bool(all_1651_0) & ! [v0: int] : ! [v1: nat] : ! [v2: nat]
% 275.87/45.77 | : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.87/45.77 | [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v0) = v3) | ~
% 275.87/45.77 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 275.87/45.77 | (hAPP_nat_int(v3, v2) = v4) | ~ (hAPP_nat_int(v3, v1) = v6) | ~
% 275.87/45.77 | (hAPP_int_bool(v5, v6) = v7) | ~ nat(v2) | ~ nat(v1) | ~ int(v0)
% 275.87/45.77 | | hBOOL(v7) | ? [v8: fun_nat_bool] : ? [v9: bool] : ? [v10:
% 275.87/45.77 | bool] : ? [v11: fun_int_bool] : ? [v12: bool] :
% 275.87/45.77 | ((hAPP_n1699378549t_bool(ord_less_nat, v1) = v8 & hAPP_nat_bool(v8,
% 275.87/45.77 | v2) = v9 & fun_nat_bool(v8) & bool(v9) & ~ hBOOL(v9)) |
% 275.87/45.77 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v11 &
% 275.87/45.77 | hAPP_int_bool(v11, one_one_int) = v12 & fun_int_bool(v11) &
% 275.87/45.77 | bool(v12) & ~ hBOOL(v12)) | (hAPP_int_bool(all_1651_0, v0) =
% 275.87/45.77 | v10 & bool(v10) & ~ hBOOL(v10))))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (955) implies:
% 275.87/45.77 | (956) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1651_0
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (222) with fresh symbols all_1660_0, all_1660_1,
% 275.87/45.77 | all_1660_2, all_1660_3, all_1660_4, all_1660_5, all_1660_6, all_1660_7,
% 275.87/45.77 | all_1660_8, all_1660_9, all_1660_10, all_1660_11 gives:
% 275.87/45.77 | (957) zcong(all_1660_7, all_1660_6) = all_1660_5 &
% 275.87/45.77 | times_times_int(all_1660_3, m) = all_1660_2 &
% 275.87/45.77 | number_number_of_int(all_1660_4) = all_1660_3 &
% 275.87/45.77 | number_number_of_int(min) = all_1660_6 & bit1(pls) = all_1660_10 &
% 275.87/45.77 | bit0(all_1660_9) = all_1660_4 & bit0(all_1660_10) = all_1660_9 &
% 275.87/45.77 | number_number_of_nat(all_1660_9) = all_1660_8 & power_power_int(s) =
% 275.87/45.77 | all_1660_11 & hAPP_nat_int(all_1660_11, all_1660_8) = all_1660_7 &
% 275.87/45.77 | plus_plus_int(all_1660_2, one_one_int) = all_1660_1 &
% 275.87/45.77 | hAPP_int_bool(all_1660_5, all_1660_1) = all_1660_0 &
% 275.87/45.77 | fun_nat_int(all_1660_11) & fun_int_bool(all_1660_5) & nat(all_1660_8)
% 275.87/45.77 | & int(all_1660_1) & int(all_1660_2) & int(all_1660_3) &
% 275.87/45.77 | int(all_1660_4) & int(all_1660_6) & int(all_1660_7) & int(all_1660_9)
% 275.87/45.77 | & int(all_1660_10) & bool(all_1660_0) & hBOOL(all_1660_0)
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (957) implies:
% 275.87/45.77 | (958) plus_plus_int(all_1660_2, one_one_int) = all_1660_1
% 275.87/45.77 | (959) number_number_of_nat(all_1660_9) = all_1660_8
% 275.87/45.77 | (960) bit0(all_1660_10) = all_1660_9
% 275.87/45.77 | (961) bit0(all_1660_9) = all_1660_4
% 275.87/45.77 | (962) bit1(pls) = all_1660_10
% 275.87/45.77 | (963) number_number_of_int(min) = all_1660_6
% 275.87/45.77 | (964) number_number_of_int(all_1660_4) = all_1660_3
% 275.87/45.77 | (965) times_times_int(all_1660_3, m) = all_1660_2
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (224) with fresh symbols all_1662_0, all_1662_1,
% 275.87/45.77 | all_1662_2, all_1662_3, all_1662_4, all_1662_5, all_1662_6, all_1662_7,
% 275.87/45.77 | all_1662_8, all_1662_9, all_1662_10, all_1662_11 gives:
% 275.87/45.77 | (966) zcong(all_1662_7, all_1662_6) = all_1662_5 &
% 275.87/45.77 | times_times_int(all_1662_3, m) = all_1662_2 &
% 275.87/45.77 | number_number_of_int(all_1662_4) = all_1662_3 &
% 275.87/45.77 | number_number_of_int(min) = all_1662_6 & bit1(pls) = all_1662_10 &
% 275.87/45.77 | bit0(all_1662_9) = all_1662_4 & bit0(all_1662_10) = all_1662_9 &
% 275.87/45.77 | number_number_of_nat(all_1662_9) = all_1662_8 & power_power_int(s1) =
% 275.87/45.77 | all_1662_11 & hAPP_nat_int(all_1662_11, all_1662_8) = all_1662_7 &
% 275.87/45.77 | plus_plus_int(all_1662_2, one_one_int) = all_1662_1 &
% 275.87/45.77 | hAPP_int_bool(all_1662_5, all_1662_1) = all_1662_0 &
% 275.87/45.77 | fun_nat_int(all_1662_11) & fun_int_bool(all_1662_5) & nat(all_1662_8)
% 275.87/45.77 | & int(all_1662_1) & int(all_1662_2) & int(all_1662_3) &
% 275.87/45.77 | int(all_1662_4) & int(all_1662_6) & int(all_1662_7) & int(all_1662_9)
% 275.87/45.77 | & int(all_1662_10) & bool(all_1662_0) & hBOOL(all_1662_0)
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (966) implies:
% 275.87/45.77 | (967) plus_plus_int(all_1662_2, one_one_int) = all_1662_1
% 275.87/45.77 | (968) number_number_of_nat(all_1662_9) = all_1662_8
% 275.87/45.77 | (969) bit0(all_1662_10) = all_1662_9
% 275.87/45.77 | (970) bit0(all_1662_9) = all_1662_4
% 275.87/45.77 | (971) bit1(pls) = all_1662_10
% 275.87/45.77 | (972) number_number_of_int(min) = all_1662_6
% 275.87/45.77 | (973) number_number_of_int(all_1662_4) = all_1662_3
% 275.87/45.77 | (974) times_times_int(all_1662_3, m) = all_1662_2
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (202) with fresh symbols all_1664_0, all_1664_1,
% 275.87/45.77 | all_1664_2, all_1664_3, all_1664_4, all_1664_5, all_1664_6, all_1664_7,
% 275.87/45.77 | all_1664_8, all_1664_9, all_1664_10, all_1664_11 gives:
% 275.87/45.77 | (975) times_times_int(all_1664_8, m) = all_1664_7 &
% 275.87/45.77 | number_number_of_int(all_1664_9) = all_1664_8 & bit1(pls) =
% 275.87/45.77 | all_1664_11 & bit0(all_1664_10) = all_1664_9 & bit0(all_1664_11) =
% 275.87/45.77 | all_1664_10 & number_number_of_nat(all_1664_10) = all_1664_3 &
% 275.87/45.77 | power_power_int(s) = all_1664_4 & hAPP_i1948725293t_bool(dvd_dvd_int,
% 275.87/45.77 | all_1664_6) = all_1664_5 & hAPP_nat_int(all_1664_4, all_1664_3) =
% 275.87/45.77 | all_1664_2 & plus_plus_int(all_1664_2, one_one_int) = all_1664_1 &
% 275.87/45.77 | plus_plus_int(all_1664_7, one_one_int) = all_1664_6 &
% 275.87/45.77 | hAPP_int_bool(all_1664_5, all_1664_1) = all_1664_0 &
% 275.87/45.77 | fun_nat_int(all_1664_4) & fun_int_bool(all_1664_5) & nat(all_1664_3)
% 275.87/45.77 | & int(all_1664_1) & int(all_1664_2) & int(all_1664_6) &
% 275.87/45.77 | int(all_1664_7) & int(all_1664_8) & int(all_1664_9) &
% 275.87/45.77 | int(all_1664_10) & int(all_1664_11) & bool(all_1664_0) &
% 275.87/45.77 | hBOOL(all_1664_0)
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (975) implies:
% 275.87/45.77 | (976) plus_plus_int(all_1664_7, one_one_int) = all_1664_6
% 275.87/45.77 | (977) number_number_of_nat(all_1664_10) = all_1664_3
% 275.87/45.77 | (978) bit0(all_1664_11) = all_1664_10
% 275.87/45.77 | (979) bit0(all_1664_10) = all_1664_9
% 275.87/45.77 | (980) bit1(pls) = all_1664_11
% 275.87/45.77 | (981) number_number_of_int(all_1664_9) = all_1664_8
% 275.87/45.77 | (982) times_times_int(all_1664_8, m) = all_1664_7
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (229) with fresh symbol all_1669_0 gives:
% 275.87/45.77 | (983) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1669_0 &
% 275.87/45.77 | fun_int_bool(all_1669_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.77 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ( ~
% 275.87/45.77 | (zcong(v3, zero_zero_int) = v4) | ~ (times_times_int(v1, v0) = v3)
% 275.87/45.77 | | ~ (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) | ~
% 275.87/45.77 | int(v0) | ~ hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ? [v8:
% 275.87/45.77 | fun_int_bool] : ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11:
% 275.87/45.77 | bool] : ((zcong(v1, zero_zero_int) = v8 & hAPP_int_bool(v8, v2) =
% 275.87/45.77 | v9 & fun_int_bool(v8) & bool(v9) & hBOOL(v9)) | (zcong(v0,
% 275.87/45.77 | zero_zero_int) = v10 & hAPP_int_bool(v10, v2) = v11 &
% 275.87/45.77 | fun_int_bool(v10) & bool(v11) & hBOOL(v11)) |
% 275.87/45.77 | (hAPP_int_bool(all_1669_0, v1) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.87/45.77 | (hAPP_int_bool(zprime, v2) = v6 & bool(v6) & ~ hBOOL(v6))))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (983) implies:
% 275.87/45.77 | (984) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1669_0
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (124) with fresh symbol all_1672_0 gives:
% 275.87/45.77 | (985) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1672_0 &
% 275.87/45.77 | fun_int_bool(all_1672_0) & ! [v0: nat] : ! [v1: nat] : ! [v2: int]
% 275.87/45.77 | : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.87/45.77 | [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v2) = v3) | ~
% 275.87/45.77 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 275.87/45.77 | (hAPP_nat_int(v3, v1) = v6) | ~ (hAPP_nat_int(v3, v0) = v4) | ~
% 275.87/45.77 | (hAPP_int_bool(v5, v6) = v7) | ~ nat(v1) | ~ nat(v0) | ~ int(v2)
% 275.87/45.77 | | ? [v8: bool] : ? [v9: fun_nat_bool] : ? [v10: bool] :
% 275.87/45.77 | ((hAPP_int_bool(all_1672_0, v2) = v8 & bool(v8) & ~ hBOOL(v8)) |
% 275.87/45.77 | (( ~ hBOOL(v7) | (hAPP_n1699378549t_bool(ord_less_eq_nat, v0) =
% 275.87/45.77 | v9 & hAPP_nat_bool(v9, v1) = v10 & fun_nat_bool(v9) &
% 275.87/45.77 | bool(v10) & hBOOL(v10))) & (hBOOL(v7) |
% 275.87/45.77 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v0) = v9 &
% 275.87/45.77 | hAPP_nat_bool(v9, v1) = v10 & fun_nat_bool(v9) & bool(v10)
% 275.87/45.77 | & ~ hBOOL(v10))))))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (985) implies:
% 275.87/45.77 | (986) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1672_0
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (82) with fresh symbol all_1687_0 gives:
% 275.87/45.77 | (987) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1687_0 &
% 275.87/45.77 | fun_int_bool(all_1687_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.87/45.77 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1687_0, v1) = v2) |
% 275.87/45.77 | ~ (hAPP_int_bool(all_1687_0, v0) = v3) | ~ int(v1) | ~ int(v0) |
% 275.87/45.77 | ? [v4: fun_int_bool] : ? [v5: bool] : ? [v6: fun_int_bool] : ?
% 275.87/45.77 | [v7: bool] : ? [v8: int] : ? [v9: fun_int_bool] : ? [v10: bool]
% 275.87/45.77 | : ((times_times_int(v1, v0) = v8 &
% 275.87/45.77 | hAPP_i1948725293t_bool(ord_less_eq_int, v8) = v9 &
% 275.87/45.77 | hAPP_int_bool(v9, zero_zero_int) = v10 & fun_int_bool(v9) &
% 275.87/45.77 | int(v8) & bool(v10) & hBOOL(v10)) | (( ~ hBOOL(v3) |
% 275.87/45.77 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v6 &
% 275.87/45.77 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 275.87/45.77 | bool(v7) & ~ hBOOL(v7))) & ( ~ hBOOL(v2) |
% 275.87/45.77 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v4 &
% 275.87/45.77 | hAPP_int_bool(v4, zero_zero_int) = v5 & fun_int_bool(v4) &
% 275.87/45.77 | bool(v5) & ~ hBOOL(v5))))))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (987) implies:
% 275.87/45.77 | (988) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1687_0
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (229) with fresh symbol all_1690_0 gives:
% 275.87/45.77 | (989) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1690_0 &
% 275.87/45.77 | fun_int_bool(all_1690_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.77 | : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: bool] : ( ~
% 275.87/45.77 | (zcong(v3, zero_zero_int) = v4) | ~ (times_times_int(v1, v0) = v3)
% 275.87/45.77 | | ~ (hAPP_int_bool(v4, v2) = v5) | ~ int(v2) | ~ int(v1) | ~
% 275.87/45.77 | int(v0) | ~ hBOOL(v5) | ? [v6: bool] : ? [v7: bool] : ? [v8:
% 275.87/45.77 | fun_int_bool] : ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11:
% 275.87/45.77 | bool] : ((zcong(v1, zero_zero_int) = v8 & hAPP_int_bool(v8, v2) =
% 275.87/45.77 | v9 & fun_int_bool(v8) & bool(v9) & hBOOL(v9)) | (zcong(v0,
% 275.87/45.77 | zero_zero_int) = v10 & hAPP_int_bool(v10, v2) = v11 &
% 275.87/45.77 | fun_int_bool(v10) & bool(v11) & hBOOL(v11)) |
% 275.87/45.77 | (hAPP_int_bool(all_1690_0, v1) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.87/45.77 | (hAPP_int_bool(zprime, v2) = v6 & bool(v6) & ~ hBOOL(v6))))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (989) implies:
% 275.87/45.77 | (990) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1690_0
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (67) with fresh symbol all_1693_0 gives:
% 275.87/45.77 | (991) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1693_0 &
% 275.87/45.77 | fun_int_bool(all_1693_0) & ! [v0: nat] : ! [v1: nat] : ! [v2: int]
% 275.87/45.77 | : ! [v3: fun_nat_int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 275.87/45.77 | [v6: int] : ! [v7: bool] : ( ~ (power_power_int(v2) = v3) | ~
% 275.87/45.77 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 275.87/45.77 | (hAPP_nat_int(v3, v1) = v6) | ~ (hAPP_nat_int(v3, v0) = v4) | ~
% 275.87/45.77 | (hAPP_int_bool(v5, v6) = v7) | ~ nat(v1) | ~ nat(v0) | ~ int(v2)
% 275.87/45.77 | | ? [v8: bool] : ? [v9: fun_nat_bool] : ? [v10: bool] :
% 275.87/45.77 | ((hAPP_int_bool(all_1693_0, v2) = v8 & bool(v8) & ~ hBOOL(v8)) |
% 275.87/45.77 | (( ~ hBOOL(v7) | (hAPP_n1699378549t_bool(ord_less_nat, v0) = v9 &
% 275.87/45.77 | hAPP_nat_bool(v9, v1) = v10 & fun_nat_bool(v9) & bool(v10)
% 275.87/45.77 | & hBOOL(v10))) & (hBOOL(v7) |
% 275.87/45.77 | (hAPP_n1699378549t_bool(ord_less_nat, v0) = v9 &
% 275.87/45.77 | hAPP_nat_bool(v9, v1) = v10 & fun_nat_bool(v9) & bool(v10)
% 275.87/45.77 | & ~ hBOOL(v10))))))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (991) implies:
% 275.87/45.77 | (992) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1693_0
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (251) with fresh symbol all_1699_0 gives:
% 275.87/45.77 | (993) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1699_0 &
% 275.87/45.77 | fun_int_bool(all_1699_0) & ! [v0: int] : ! [v1: int] : ! [v2: int]
% 275.87/45.77 | : ! [v3: fun_int_bool] : ! [v4: bool] : ( ~ (zcong(v0, v2) = v3) |
% 275.87/45.77 | ~ (minus_minus_int(v1, one_one_int) = v2) | ~ (hAPP_int_bool(v3,
% 275.87/45.77 | v1) = v4) | ~ int(v1) | ~ int(v0) | hBOOL(v4) | ? [v5: bool]
% 275.87/45.77 | : ? [v6: bool] : ? [v7: int] : ? [v8: fun_int_bool] : ? [v9:
% 275.87/45.77 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ((zcong(v7,
% 275.87/45.77 | one_one_int) = v8 & times_times_int(v0, v0) = v7 &
% 275.87/45.77 | hAPP_int_bool(v8, v1) = v9 & fun_int_bool(v8) & int(v7) &
% 275.87/45.77 | bool(v9) & ~ hBOOL(v9)) | (zcong(v0, one_one_int) = v10 &
% 275.87/45.77 | hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) & bool(v11) &
% 275.87/45.77 | hBOOL(v11)) | (hAPP_int_bool(all_1699_0, v0) = v6 & bool(v6) &
% 275.87/45.77 | ~ hBOOL(v6)) | (hAPP_int_bool(zprime, v1) = v5 & bool(v5) & ~
% 275.87/45.77 | hBOOL(v5))))
% 275.87/45.77 |
% 275.87/45.77 | ALPHA: (993) implies:
% 275.87/45.77 | (994) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1699_0
% 275.87/45.77 |
% 275.87/45.77 | DELTA: instantiating (219) with fresh symbol all_1702_0 gives:
% 275.87/45.78 | (995) number_number_of_int(min) = all_1702_0 & int(all_1702_0) & ! [v0:
% 275.87/45.78 | int] : ! [v1: any] : (v1 = all_1702_0 | v1 = one_one_int | ~
% 275.87/45.78 | (times_times_int(v0, v1) = one_one_int) | ~ int(v1) | ~ int(v0))
% 275.87/45.78 | & ! [v0: int] : ! [v1: any] : (v1 = all_1702_0 | v0 = one_one_int |
% 275.87/45.78 | ~ (times_times_int(v0, v1) = one_one_int) | ~ int(v1) | ~
% 275.87/45.78 | int(v0)) & ! [v0: any] : ! [v1: int] : (v1 = one_one_int | v0 =
% 275.87/45.78 | all_1702_0 | ~ (times_times_int(v0, v1) = one_one_int) | ~
% 275.87/45.78 | int(v1) | ~ int(v0)) & ! [v0: any] : ! [v1: int] : (v0 =
% 275.87/45.78 | all_1702_0 | v0 = one_one_int | ~ (times_times_int(v0, v1) =
% 275.87/45.78 | one_one_int) | ~ int(v1) | ~ int(v0)) & ! [v0: int] : (v0 =
% 275.87/45.78 | one_one_int | ~ (times_times_int(all_1702_0, all_1702_0) = v0)) &
% 275.87/45.78 | ! [v0: int] : (v0 = one_one_int | ~ (times_times_int(one_one_int,
% 275.87/45.78 | one_one_int) = v0))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (995) implies:
% 275.87/45.78 | (996) number_number_of_int(min) = all_1702_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (230) with fresh symbol all_1705_0 gives:
% 275.87/45.78 | (997) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1705_0 &
% 275.87/45.78 | fun_int_bool(all_1705_0) & ! [v0: int] : ! [v1: int] : ! [v2: nat]
% 275.87/45.78 | : ! [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 275.87/45.78 | (nat_1(v1) = v2) | ~ (nat_1(v0) = v4) | ~
% 275.87/45.78 | (hAPP_n1699378549t_bool(dvd_dvd_nat, v2) = v3) | ~
% 275.87/45.78 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | ? [v6:
% 275.87/45.78 | bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 275.87/45.78 | ((hAPP_int_bool(all_1705_0, v1) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 275.87/45.78 | (hAPP_int_bool(all_1705_0, v0) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.87/45.78 | (( ~ hBOOL(v5) | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v8 &
% 275.87/45.78 | hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.87/45.78 | hBOOL(v9))) & (hBOOL(v5) |
% 275.87/45.78 | (hAPP_i1948725293t_bool(dvd_dvd_int, v1) = v8 &
% 275.87/45.78 | hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.87/45.78 | ~ hBOOL(v9))))))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (997) implies:
% 275.87/45.78 | (998) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1705_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (173) with fresh symbols all_1708_0, all_1708_1,
% 275.87/45.78 | all_1708_2, all_1708_3, all_1708_4, all_1708_5, all_1708_6, all_1708_7,
% 275.87/45.78 | all_1708_8, all_1708_9, all_1708_10, all_1708_11 gives:
% 275.87/45.78 | (999) times_times_int(all_1708_3, all_1708_10) = all_1708_1 &
% 275.87/45.78 | times_times_int(all_1708_5, m) = all_1708_4 &
% 275.87/45.78 | number_number_of_int(all_1708_6) = all_1708_5 & bit1(pls) =
% 275.87/45.78 | all_1708_8 & bit0(all_1708_7) = all_1708_6 & bit0(all_1708_8) =
% 275.87/45.78 | all_1708_7 & hAPP_i1948725293t_bool(ord_less_int, all_1708_10) =
% 275.87/45.78 | all_1708_9 & hAPP_nat_int(semiri1621563631at_int, n) = all_1708_11 &
% 275.87/45.78 | plus_plus_int(all_1708_4, one_one_int) = all_1708_3 &
% 275.87/45.78 | plus_plus_int(one_one_int, all_1708_11) = all_1708_10 &
% 275.87/45.78 | hAPP_int_bool(all_1708_9, all_1708_3) = all_1708_2 &
% 275.87/45.78 | hAPP_int_bool(twoSqu820444569sum2sq, all_1708_1) = all_1708_0 &
% 275.87/45.78 | fun_int_bool(all_1708_9) & int(all_1708_1) & int(all_1708_3) &
% 275.87/45.78 | int(all_1708_4) & int(all_1708_5) & int(all_1708_6) & int(all_1708_7)
% 275.87/45.78 | & int(all_1708_8) & int(all_1708_10) & int(all_1708_11) &
% 275.87/45.78 | bool(all_1708_0) & bool(all_1708_2) & hBOOL(all_1708_0) &
% 275.87/45.78 | hBOOL(all_1708_2)
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (999) implies:
% 275.87/45.78 | (1000) hAPP_int_bool(all_1708_9, all_1708_3) = all_1708_2
% 275.87/45.78 | (1001) plus_plus_int(one_one_int, all_1708_11) = all_1708_10
% 275.87/45.78 | (1002) plus_plus_int(all_1708_4, one_one_int) = all_1708_3
% 275.87/45.78 | (1003) hAPP_nat_int(semiri1621563631at_int, n) = all_1708_11
% 275.87/45.78 | (1004) hAPP_i1948725293t_bool(ord_less_int, all_1708_10) = all_1708_9
% 275.87/45.78 | (1005) bit0(all_1708_8) = all_1708_7
% 275.87/45.78 | (1006) bit0(all_1708_7) = all_1708_6
% 275.87/45.78 | (1007) bit1(pls) = all_1708_8
% 275.87/45.78 | (1008) number_number_of_int(all_1708_6) = all_1708_5
% 275.87/45.78 | (1009) times_times_int(all_1708_5, m) = all_1708_4
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (173) with fresh symbols all_1713_0, all_1713_1,
% 275.87/45.78 | all_1713_2, all_1713_3, all_1713_4, all_1713_5, all_1713_6, all_1713_7,
% 275.87/45.78 | all_1713_8, all_1713_9, all_1713_10, all_1713_11 gives:
% 275.87/45.78 | (1010) times_times_int(all_1713_3, all_1713_10) = all_1713_1 &
% 275.87/45.78 | times_times_int(all_1713_5, m) = all_1713_4 &
% 275.87/45.78 | number_number_of_int(all_1713_6) = all_1713_5 & bit1(pls) =
% 275.87/45.78 | all_1713_8 & bit0(all_1713_7) = all_1713_6 & bit0(all_1713_8) =
% 275.87/45.78 | all_1713_7 & hAPP_i1948725293t_bool(ord_less_int, all_1713_10) =
% 275.87/45.78 | all_1713_9 & hAPP_nat_int(semiri1621563631at_int, n) = all_1713_11 &
% 275.87/45.78 | plus_plus_int(all_1713_4, one_one_int) = all_1713_3 &
% 275.87/45.78 | plus_plus_int(one_one_int, all_1713_11) = all_1713_10 &
% 275.87/45.78 | hAPP_int_bool(all_1713_9, all_1713_3) = all_1713_2 &
% 275.87/45.78 | hAPP_int_bool(twoSqu820444569sum2sq, all_1713_1) = all_1713_0 &
% 275.87/45.78 | fun_int_bool(all_1713_9) & int(all_1713_1) & int(all_1713_3) &
% 275.87/45.78 | int(all_1713_4) & int(all_1713_5) & int(all_1713_6) &
% 275.87/45.78 | int(all_1713_7) & int(all_1713_8) & int(all_1713_10) &
% 275.87/45.78 | int(all_1713_11) & bool(all_1713_0) & bool(all_1713_2) &
% 275.87/45.78 | hBOOL(all_1713_0) & hBOOL(all_1713_2)
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1010) implies:
% 275.87/45.78 | (1011) hBOOL(all_1713_2)
% 275.87/45.78 | (1012) hAPP_int_bool(all_1713_9, all_1713_3) = all_1713_2
% 275.87/45.78 | (1013) plus_plus_int(one_one_int, all_1713_11) = all_1713_10
% 275.87/45.78 | (1014) plus_plus_int(all_1713_4, one_one_int) = all_1713_3
% 275.87/45.78 | (1015) hAPP_nat_int(semiri1621563631at_int, n) = all_1713_11
% 275.87/45.78 | (1016) hAPP_i1948725293t_bool(ord_less_int, all_1713_10) = all_1713_9
% 275.87/45.78 | (1017) bit0(all_1713_8) = all_1713_7
% 275.87/45.78 | (1018) bit0(all_1713_7) = all_1713_6
% 275.87/45.78 | (1019) bit1(pls) = all_1713_8
% 275.87/45.78 | (1020) number_number_of_int(all_1713_6) = all_1713_5
% 275.87/45.78 | (1021) times_times_int(all_1713_5, m) = all_1713_4
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (27) with fresh symbol all_1715_0 gives:
% 275.87/45.78 | (1022) bit1(pls) = all_1715_0 & int(all_1715_0) & ! [v0: int] : ! [v1:
% 275.87/45.78 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) =
% 275.87/45.78 | v1) | ~ int(v0) | ? [v2: bool] : ? [v3: real] : ? [v4:
% 275.87/45.78 | fun_real_bool] : ? [v5: bool] :
% 275.87/45.78 | ((hAPP_r1134773055l_bool(ord_less_real, v3) = v4 &
% 275.87/45.78 | hAPP_real_bool(v4, one_one_real) = v5 &
% 275.87/45.78 | number267125858f_real(v0) = v3 & fun_real_bool(v4) & real(v3)
% 275.87/45.78 | & bool(v5) & hBOOL(v5)) | (hAPP_int_bool(v1, all_1715_0) = v2
% 275.87/45.78 | & bool(v2) & ~ hBOOL(v2)))) & ! [v0: int] : ! [v1:
% 275.87/45.78 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) =
% 275.87/45.78 | v1) | ~ int(v0) | ? [v2: real] : ? [v3: fun_real_bool] : ?
% 275.87/45.78 | [v4: bool] : ? [v5: bool] :
% 275.87/45.78 | ((hAPP_r1134773055l_bool(ord_less_real, v2) = v3 &
% 275.87/45.78 | hAPP_real_bool(v3, one_one_real) = v4 &
% 275.87/45.78 | number267125858f_real(v0) = v2 & fun_real_bool(v3) & real(v2)
% 275.87/45.78 | & bool(v4) & ~ hBOOL(v4)) | (hAPP_int_bool(v1, all_1715_0) =
% 275.87/45.78 | v5 & bool(v5) & hBOOL(v5))))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1022) implies:
% 275.87/45.78 | (1023) bit1(pls) = all_1715_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (53) with fresh symbols all_1718_0, all_1718_1,
% 275.87/45.78 | all_1718_2 gives:
% 275.87/45.78 | (1024) bit1(pls) = all_1718_2 & bit0(all_1718_2) = all_1718_1 &
% 275.87/45.78 | number_number_of_nat(all_1718_1) = all_1718_0 & nat(all_1718_0) &
% 275.87/45.78 | int(all_1718_1) & int(all_1718_2) & ! [v0: real] : ! [v1: real] :
% 275.87/45.78 | ! [v2: fun_nat_real] : ! [v3: real] : ! [v4: fun_nat_real] : !
% 275.87/45.78 | [v5: real] : (v1 = zero_zero_real | ~ (power_power_real(v1) = v4) |
% 275.87/45.78 | ~ (power_power_real(v0) = v2) | ~ (hAPP_nat_real(v4, all_1718_0)
% 275.87/45.78 | = v5) | ~ (hAPP_nat_real(v2, all_1718_0) = v3) | ~
% 275.87/45.78 | (plus_plus_real(v3, v5) = zero_zero_real) | ~ real(v1) | ~
% 275.87/45.78 | real(v0)) & ! [v0: real] : ! [v1: real] : ! [v2: fun_nat_real]
% 275.87/45.78 | : ! [v3: real] : ! [v4: fun_nat_real] : ! [v5: real] : (v0 =
% 275.87/45.78 | zero_zero_real | ~ (power_power_real(v1) = v4) | ~
% 275.87/45.78 | (power_power_real(v0) = v2) | ~ (hAPP_nat_real(v4, all_1718_0) =
% 275.87/45.78 | v5) | ~ (hAPP_nat_real(v2, all_1718_0) = v3) | ~
% 275.87/45.78 | (plus_plus_real(v3, v5) = zero_zero_real) | ~ real(v1) | ~
% 275.87/45.78 | real(v0)) & ! [v0: fun_nat_real] : ! [v1: real] : ! [v2: real]
% 275.87/45.78 | : (v2 = zero_zero_real | ~ (power_power_real(zero_zero_real) = v0)
% 275.87/45.78 | | ~ (hAPP_nat_real(v0, all_1718_0) = v1) | ~ (plus_plus_real(v1,
% 275.87/45.78 | v1) = v2))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1024) implies:
% 275.87/45.78 | (1025) number_number_of_nat(all_1718_1) = all_1718_0
% 275.87/45.78 | (1026) bit0(all_1718_2) = all_1718_1
% 275.87/45.78 | (1027) bit1(pls) = all_1718_2
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (3) with fresh symbols all_1721_0, all_1721_1, all_1721_2
% 275.87/45.78 | gives:
% 275.87/45.78 | (1028) bit1(pls) = all_1721_2 & bit0(all_1721_2) = all_1721_1 &
% 275.87/45.78 | number_number_of_nat(all_1721_1) = all_1721_0 & nat(all_1721_0) &
% 275.87/45.78 | int(all_1721_1) & int(all_1721_2) & ! [v0: int] : ! [v1: int] : !
% 275.87/45.78 | [v2: fun_nat_int] : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5:
% 275.87/45.78 | int] : (v1 = zero_zero_int | ~ (power_power_int(v1) = v4) | ~
% 275.87/45.78 | (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v4, all_1721_0) =
% 275.87/45.78 | v5) | ~ (hAPP_nat_int(v2, all_1721_0) = v3) | ~
% 275.87/45.78 | (plus_plus_int(v3, v5) = zero_zero_int) | ~ int(v1) | ~ int(v0))
% 275.87/45.78 | & ! [v0: int] : ! [v1: int] : ! [v2: fun_nat_int] : ! [v3: int]
% 275.87/45.78 | : ! [v4: fun_nat_int] : ! [v5: int] : (v0 = zero_zero_int | ~
% 275.87/45.78 | (power_power_int(v1) = v4) | ~ (power_power_int(v0) = v2) | ~
% 275.87/45.78 | (hAPP_nat_int(v4, all_1721_0) = v5) | ~ (hAPP_nat_int(v2,
% 275.87/45.78 | all_1721_0) = v3) | ~ (plus_plus_int(v3, v5) = zero_zero_int)
% 275.87/45.78 | | ~ int(v1) | ~ int(v0)) & ! [v0: fun_nat_int] : ! [v1: int] :
% 275.87/45.78 | ! [v2: int] : (v2 = zero_zero_int | ~
% 275.87/45.78 | (power_power_int(zero_zero_int) = v0) | ~ (hAPP_nat_int(v0,
% 275.87/45.78 | all_1721_0) = v1) | ~ (plus_plus_int(v1, v1) = v2))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1028) implies:
% 275.87/45.78 | (1029) number_number_of_nat(all_1721_1) = all_1721_0
% 275.87/45.78 | (1030) bit0(all_1721_2) = all_1721_1
% 275.87/45.78 | (1031) bit1(pls) = all_1721_2
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (119) with fresh symbol all_1724_0 gives:
% 275.87/45.78 | (1032) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1724_0
% 275.87/45.78 | & fun_int_bool(all_1724_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.87/45.78 | nat] : ! [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 275.87/45.78 | (nat_1(v1) = v2) | ~ (nat_1(v0) = v4) | ~
% 275.87/45.78 | (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) | ~
% 275.87/45.78 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | ? [v6:
% 275.87/45.78 | bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 275.87/45.78 | ((hAPP_int_bool(all_1724_0, v1) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 275.87/45.78 | (hAPP_int_bool(all_1724_0, v0) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.87/45.78 | (( ~ hBOOL(v5) | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8
% 275.87/45.78 | & hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9)
% 275.87/45.78 | & hBOOL(v9))) & (hBOOL(v5) |
% 275.87/45.78 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v8 &
% 275.87/45.78 | hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.87/45.78 | ~ hBOOL(v9))))))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1032) implies:
% 275.87/45.78 | (1033) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1724_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (133) with fresh symbol all_1727_0 gives:
% 275.87/45.78 | (1034) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1727_0
% 275.87/45.78 | & fun_int_bool(all_1727_0) & ! [v0: nat] : ! [v1: int] : ! [v2:
% 275.87/45.78 | fun_int_bool] : ! [v3: int] : ! [v4: bool] : ( ~
% 275.87/45.78 | (hAPP_i1948725293t_bool(ord_less_int, v1) = v2) | ~
% 275.87/45.78 | (hAPP_nat_int(semiri1621563631at_int, v0) = v3) | ~
% 275.87/45.78 | (hAPP_int_bool(v2, v3) = v4) | ~ nat(v0) | ~ int(v1) | ? [v5:
% 275.87/45.78 | bool] : ? [v6: nat] : ? [v7: fun_nat_bool] : ? [v8: bool] :
% 275.87/45.78 | ((hAPP_int_bool(all_1727_0, v1) = v5 & bool(v5) & ~ hBOOL(v5)) |
% 275.87/45.78 | (( ~ hBOOL(v4) | (nat_1(v1) = v6 &
% 275.87/45.78 | hAPP_n1699378549t_bool(ord_less_nat, v6) = v7 &
% 275.87/45.78 | hAPP_nat_bool(v7, v0) = v8 & fun_nat_bool(v7) & nat(v6) &
% 275.87/45.78 | bool(v8) & hBOOL(v8))) & (hBOOL(v4) | (nat_1(v1) = v6 &
% 275.87/45.78 | hAPP_n1699378549t_bool(ord_less_nat, v6) = v7 &
% 275.87/45.78 | hAPP_nat_bool(v7, v0) = v8 & fun_nat_bool(v7) & nat(v6) &
% 275.87/45.78 | bool(v8) & ~ hBOOL(v8))))))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1034) implies:
% 275.87/45.78 | (1035) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1727_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (181) with fresh symbol all_1730_0 gives:
% 275.87/45.78 | (1036) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1730_0
% 275.87/45.78 | & fun_int_bool(all_1730_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 275.87/45.78 | nat] : ! [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 275.87/45.78 | (nat_1(v1) = v2) | ~ (nat_1(v0) = v4) | ~
% 275.87/45.78 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v2) = v3) | ~
% 275.87/45.78 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | ? [v6:
% 275.87/45.78 | bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 275.87/45.78 | ((hAPP_int_bool(all_1730_0, v1) = v6 & bool(v6) & ~ hBOOL(v6)) |
% 275.87/45.78 | (hAPP_int_bool(all_1730_0, v0) = v7 & bool(v7) & ~ hBOOL(v7)) |
% 275.87/45.78 | (( ~ hBOOL(v5) | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) =
% 275.87/45.78 | v8 & hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) &
% 275.87/45.78 | bool(v9) & hBOOL(v9))) & (hBOOL(v5) |
% 275.87/45.78 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 &
% 275.87/45.78 | hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9) &
% 275.87/45.78 | ~ hBOOL(v9))))))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1036) implies:
% 275.87/45.78 | (1037) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1730_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (137) with fresh symbol all_1733_0 gives:
% 275.87/45.78 | (1038) bit1(pls) = all_1733_0 & int(all_1733_0) & ! [v0: int] : ! [v1:
% 275.87/45.78 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 275.87/45.78 | v1) | ~ int(v0) | ? [v2: bool] : ? [v3: int] : ? [v4:
% 275.87/45.78 | fun_int_bool] : ? [v5: bool] : ((number_number_of_int(v0) = v3
% 275.87/45.78 | & hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v4 &
% 275.87/45.78 | hAPP_int_bool(v4, one_one_int) = v5 & fun_int_bool(v4) &
% 275.87/45.78 | int(v3) & bool(v5) & hBOOL(v5)) | (hAPP_int_bool(v1,
% 275.87/45.78 | all_1733_0) = v2 & bool(v2) & ~ hBOOL(v2)))) & ! [v0: int]
% 275.87/45.78 | : ! [v1: fun_int_bool] : ( ~
% 275.87/45.78 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v1) | ~ int(v0) |
% 275.87/45.78 | ? [v2: int] : ? [v3: fun_int_bool] : ? [v4: bool] : ? [v5:
% 275.87/45.78 | bool] : ((number_number_of_int(v0) = v2 &
% 275.87/45.78 | hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v3 &
% 275.87/45.78 | hAPP_int_bool(v3, one_one_int) = v4 & fun_int_bool(v3) &
% 275.87/45.78 | int(v2) & bool(v4) & ~ hBOOL(v4)) | (hAPP_int_bool(v1,
% 275.87/45.78 | all_1733_0) = v5 & bool(v5) & hBOOL(v5))))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1038) implies:
% 275.87/45.78 | (1039) bit1(pls) = all_1733_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (226) with fresh symbols all_1736_0, all_1736_1,
% 275.87/45.78 | all_1736_2, all_1736_3, all_1736_4, all_1736_5, all_1736_6, all_1736_7,
% 275.87/45.78 | all_1736_8, all_1736_9, all_1736_10, all_1736_11, all_1736_12 gives:
% 275.87/45.78 | (1040) zcong(all_1736_2, all_1736_9) = all_1736_1 &
% 275.87/45.78 | times_times_int(all_1736_7, m) = all_1736_6 &
% 275.87/45.78 | number_number_of_int(all_1736_8) = all_1736_7 &
% 275.87/45.78 | number_number_of_int(min) = all_1736_9 & bit1(pls) = all_1736_12 &
% 275.87/45.78 | bit0(all_1736_11) = all_1736_8 & bit0(all_1736_12) = all_1736_11 &
% 275.87/45.78 | number_number_of_nat(all_1736_11) = all_1736_10 &
% 275.87/45.78 | power_power_int(all_1736_4) = all_1736_3 & hAPP_nat_int(all_1736_3,
% 275.87/45.78 | all_1736_10) = all_1736_2 & plus_plus_int(all_1736_6, one_one_int)
% 275.87/45.78 | = all_1736_5 & hAPP_int_bool(all_1736_1, all_1736_5) = all_1736_0 &
% 275.87/45.78 | fun_nat_int(all_1736_3) & fun_int_bool(all_1736_1) &
% 275.87/45.78 | nat(all_1736_10) & int(all_1736_2) & int(all_1736_4) &
% 275.87/45.78 | int(all_1736_5) & int(all_1736_6) & int(all_1736_7) &
% 275.87/45.78 | int(all_1736_8) & int(all_1736_9) & int(all_1736_11) &
% 275.87/45.78 | int(all_1736_12) & bool(all_1736_0) & hBOOL(all_1736_0)
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1040) implies:
% 275.87/45.78 | (1041) plus_plus_int(all_1736_6, one_one_int) = all_1736_5
% 275.87/45.78 | (1042) number_number_of_nat(all_1736_11) = all_1736_10
% 275.87/45.78 | (1043) bit0(all_1736_12) = all_1736_11
% 275.87/45.78 | (1044) bit0(all_1736_11) = all_1736_8
% 275.87/45.78 | (1045) bit1(pls) = all_1736_12
% 275.87/45.78 | (1046) number_number_of_int(min) = all_1736_9
% 275.87/45.78 | (1047) number_number_of_int(all_1736_8) = all_1736_7
% 275.87/45.78 | (1048) times_times_int(all_1736_7, m) = all_1736_6
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (136) with fresh symbol all_1738_0 gives:
% 275.87/45.78 | (1049) bit1(pls) = all_1738_0 & int(all_1738_0) & ! [v0: int] : ! [v1:
% 275.87/45.78 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 275.87/45.78 | v1) | ~ int(v0) | ? [v2: bool] : ? [v3: real] : ? [v4:
% 275.87/45.78 | fun_real_bool] : ? [v5: bool] :
% 275.87/45.78 | ((hAPP_r1134773055l_bool(ord_less_eq_real, v3) = v4 &
% 275.87/45.78 | hAPP_real_bool(v4, one_one_real) = v5 &
% 275.87/45.78 | number267125858f_real(v0) = v3 & fun_real_bool(v4) & real(v3)
% 275.87/45.78 | & bool(v5) & hBOOL(v5)) | (hAPP_int_bool(v1, all_1738_0) = v2
% 275.87/45.78 | & bool(v2) & ~ hBOOL(v2)))) & ! [v0: int] : ! [v1:
% 275.87/45.78 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 275.87/45.78 | v1) | ~ int(v0) | ? [v2: real] : ? [v3: fun_real_bool] : ?
% 275.87/45.78 | [v4: bool] : ? [v5: bool] :
% 275.87/45.78 | ((hAPP_r1134773055l_bool(ord_less_eq_real, v2) = v3 &
% 275.87/45.78 | hAPP_real_bool(v3, one_one_real) = v4 &
% 275.87/45.78 | number267125858f_real(v0) = v2 & fun_real_bool(v3) & real(v2)
% 275.87/45.78 | & bool(v4) & ~ hBOOL(v4)) | (hAPP_int_bool(v1, all_1738_0) =
% 275.87/45.78 | v5 & bool(v5) & hBOOL(v5))))
% 275.87/45.78 |
% 275.87/45.78 | ALPHA: (1049) implies:
% 275.87/45.78 | (1050) bit1(pls) = all_1738_0
% 275.87/45.78 |
% 275.87/45.78 | DELTA: instantiating (26) with fresh symbol all_1741_0 gives:
% 275.87/45.79 | (1051) bit1(pls) = all_1741_0 & int(all_1741_0) & ! [v0: int] : ! [v1:
% 275.87/45.79 | fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int, v0) =
% 275.87/45.79 | v1) | ~ int(v0) | ? [v2: bool] : ? [v3: int] : ? [v4:
% 275.87/45.79 | fun_int_bool] : ? [v5: bool] : ((number_number_of_int(v0) = v3
% 275.87/45.79 | & hAPP_i1948725293t_bool(ord_less_int, v3) = v4 &
% 275.87/45.79 | hAPP_int_bool(v4, one_one_int) = v5 & fun_int_bool(v4) &
% 275.87/45.79 | int(v3) & bool(v5) & hBOOL(v5)) | (hAPP_int_bool(v1,
% 275.87/45.79 | all_1741_0) = v2 & bool(v2) & ~ hBOOL(v2)))) & ! [v0: int]
% 275.87/45.79 | : ! [v1: fun_int_bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_int,
% 275.87/45.79 | v0) = v1) | ~ int(v0) | ? [v2: int] : ? [v3: fun_int_bool]
% 275.87/45.79 | : ? [v4: bool] : ? [v5: bool] : ((number_number_of_int(v0) = v2
% 275.87/45.79 | & hAPP_i1948725293t_bool(ord_less_int, v2) = v3 &
% 275.87/45.79 | hAPP_int_bool(v3, one_one_int) = v4 & fun_int_bool(v3) &
% 275.87/45.79 | int(v2) & bool(v4) & ~ hBOOL(v4)) | (hAPP_int_bool(v1,
% 275.87/45.79 | all_1741_0) = v5 & bool(v5) & hBOOL(v5))))
% 275.87/45.79 |
% 275.87/45.79 | ALPHA: (1051) implies:
% 275.87/45.79 | (1052) bit1(pls) = all_1741_0
% 275.87/45.79 |
% 275.87/45.79 | DELTA: instantiating (269) with fresh symbols all_1744_0, all_1744_1,
% 275.87/45.79 | all_1744_2, all_1744_3 gives:
% 275.87/45.79 | (1053) number_number_of_int(all_1744_1) = all_1744_0 & bit1(pls) =
% 275.87/45.79 | all_1744_2 & bit0(all_1744_2) = all_1744_1 &
% 275.87/45.79 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1744_3 &
% 275.87/45.79 | fun_int_bool(all_1744_3) & int(all_1744_0) & int(all_1744_1) &
% 275.87/45.79 | int(all_1744_2) & ? [v0: int] : ! [v1: int] : ! [v2: bool] : ( ~
% 275.87/45.79 | (hAPP_int_bool(all_1744_3, v1) = v2) | ~ int(v1) | ~ int(v0) |
% 275.87/45.79 | ~ hBOOL(v2) | ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6:
% 275.87/45.79 | int] : ? [v7: int] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 275.87/45.79 | (abs_abs_int(v5) = v6 & minus_minus_int(v0, v4) = v5 &
% 275.87/45.79 | times_times_int(v3, v1) = v4 & times_times_int(all_1744_0, v6) =
% 275.87/45.79 | v7 & hAPP_i1948725293t_bool(ord_less_eq_int, v7) = v8 &
% 275.87/45.79 | hAPP_int_bool(v8, v1) = v9 & fun_int_bool(v8) & int(v7) &
% 275.87/45.79 | int(v6) & int(v5) & int(v4) & int(v3) & bool(v9) & hBOOL(v9)))
% 275.87/45.79 |
% 275.87/45.79 | ALPHA: (1053) implies:
% 275.87/45.79 | (1054) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1744_3
% 275.87/45.79 | (1055) bit0(all_1744_2) = all_1744_1
% 275.87/45.79 | (1056) bit1(pls) = all_1744_2
% 275.87/45.79 | (1057) number_number_of_int(all_1744_1) = all_1744_0
% 275.87/45.79 |
% 275.87/45.79 | DELTA: instantiating (53) with fresh symbols all_1746_0, all_1746_1,
% 275.87/45.79 | all_1746_2 gives:
% 275.87/45.79 | (1058) bit1(pls) = all_1746_2 & bit0(all_1746_2) = all_1746_1 &
% 275.87/45.79 | number_number_of_nat(all_1746_1) = all_1746_0 & nat(all_1746_0) &
% 275.87/45.79 | int(all_1746_1) & int(all_1746_2) & ! [v0: real] : ! [v1: real] :
% 275.87/45.79 | ! [v2: fun_nat_real] : ! [v3: real] : ! [v4: fun_nat_real] : !
% 275.87/45.79 | [v5: real] : (v1 = zero_zero_real | ~ (power_power_real(v1) = v4) |
% 275.87/45.79 | ~ (power_power_real(v0) = v2) | ~ (hAPP_nat_real(v4, all_1746_0)
% 275.87/45.79 | = v5) | ~ (hAPP_nat_real(v2, all_1746_0) = v3) | ~
% 275.87/45.79 | (plus_plus_real(v3, v5) = zero_zero_real) | ~ real(v1) | ~
% 275.87/45.79 | real(v0)) & ! [v0: real] : ! [v1: real] : ! [v2: fun_nat_real]
% 275.87/45.79 | : ! [v3: real] : ! [v4: fun_nat_real] : ! [v5: real] : (v0 =
% 275.87/45.79 | zero_zero_real | ~ (power_power_real(v1) = v4) | ~
% 275.87/45.79 | (power_power_real(v0) = v2) | ~ (hAPP_nat_real(v4, all_1746_0) =
% 275.87/45.79 | v5) | ~ (hAPP_nat_real(v2, all_1746_0) = v3) | ~
% 275.87/45.79 | (plus_plus_real(v3, v5) = zero_zero_real) | ~ real(v1) | ~
% 275.87/45.79 | real(v0)) & ! [v0: fun_nat_real] : ! [v1: real] : ! [v2: real]
% 275.87/45.79 | : (v2 = zero_zero_real | ~ (power_power_real(zero_zero_real) = v0)
% 275.87/45.79 | | ~ (hAPP_nat_real(v0, all_1746_0) = v1) | ~ (plus_plus_real(v1,
% 275.87/45.79 | v1) = v2))
% 275.87/45.79 |
% 275.87/45.79 | ALPHA: (1058) implies:
% 275.87/45.79 | (1059) number_number_of_nat(all_1746_1) = all_1746_0
% 275.87/45.79 | (1060) bit0(all_1746_2) = all_1746_1
% 275.87/45.79 | (1061) bit1(pls) = all_1746_2
% 275.87/45.79 |
% 275.87/45.79 | DELTA: instantiating (263) with fresh symbol all_1749_0 gives:
% 276.20/45.79 | (1062) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1749_0 &
% 276.20/45.79 | fun_int_bool(all_1749_0) & ! [v0: int] : ! [v1: nat] : ! [v2:
% 276.20/45.79 | int] : ! [v3: fun_nat_int] : ! [v4: int] : (v0 = zero_zero_int |
% 276.20/45.79 | ~ (abs_abs_int(v0) = v2) | ~ (power_power_int(v2) = v3) | ~
% 276.20/45.79 | (hAPP_nat_int(v3, v1) = v4) | ~ nat(v1) | ~ int(v0) | ? [v5:
% 276.20/45.79 | bool] : (hAPP_int_bool(all_1749_0, v4) = v5 & bool(v5) &
% 276.20/45.79 | hBOOL(v5))) & ! [v0: nat] : ! [v1: int] : ! [v2: fun_nat_int]
% 276.20/45.79 | : ! [v3: int] : (v0 = zero_zero_nat | ~
% 276.20/45.79 | (abs_abs_int(zero_zero_int) = v1) | ~ (power_power_int(v1) = v2)
% 276.20/45.79 | | ~ (hAPP_nat_int(v2, v0) = v3) | ~ nat(v0) | ? [v4: bool] :
% 276.20/45.79 | (hAPP_int_bool(all_1749_0, v3) = v4 & bool(v4) & ~ hBOOL(v4))) &
% 276.20/45.79 | ! [v0: int] : ! [v1: int] : ! [v2: fun_nat_int] : ! [v3: int] : (
% 276.20/45.79 | ~ (abs_abs_int(v0) = v1) | ~ (power_power_int(v1) = v2) | ~
% 276.20/45.79 | (hAPP_nat_int(v2, zero_zero_nat) = v3) | ~ int(v0) | ? [v4:
% 276.20/45.79 | bool] : (hAPP_int_bool(all_1749_0, v3) = v4 & bool(v4) &
% 276.20/45.79 | hBOOL(v4)))
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1062) implies:
% 276.20/45.79 | (1063) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1749_0
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (145) with fresh symbol all_1752_0 gives:
% 276.20/45.79 | (1064) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1752_0
% 276.20/45.79 | & fun_int_bool(all_1752_0) & ! [v0: fun_int_bool] : ! [v1: nat] :
% 276.20/45.79 | ! [v2: int] : ! [v3: bool] : ( ~
% 276.20/45.79 | (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~
% 276.20/45.79 | (hAPP_int_bool(v0, v2) = v3) | ~ fun_int_bool(v0) | ~ nat(v1) |
% 276.20/45.79 | ~ hBOOL(v3) | ? [v4: int] : ? [v5: bool] : ? [v6: bool] :
% 276.20/45.79 | (hAPP_int_bool(v0, v4) = v6 & hAPP_int_bool(all_1752_0, v4) = v5 &
% 276.20/45.79 | int(v4) & bool(v6) & bool(v5) & hBOOL(v6) & hBOOL(v5))) & ?
% 276.20/45.79 | [v0: fun_int_bool] : ! [v1: int] : ! [v2: bool] : ( ~
% 276.20/45.79 | (hAPP_int_bool(all_1752_0, v1) = v2) | ~ fun_int_bool(v0) | ~
% 276.20/45.79 | int(v1) | ~ hBOOL(v2) | ? [v3: nat] : ? [v4: int] : ? [v5:
% 276.20/45.79 | bool] : ? [v6: bool] : (nat(v3) &
% 276.20/45.79 | ((hAPP_nat_int(semiri1621563631at_int, v3) = v4 &
% 276.20/45.79 | hAPP_int_bool(v0, v4) = v5 & int(v4) & bool(v5) & hBOOL(v5))
% 276.20/45.79 | | (hAPP_int_bool(v0, v1) = v6 & bool(v6) & ~ hBOOL(v6)))))
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1064) implies:
% 276.20/45.79 | (1065) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1752_0
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (105) with fresh symbol all_1760_0 gives:
% 276.20/45.79 | (1066) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1760_0
% 276.20/45.79 | & fun_int_bool(all_1760_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.79 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 276.20/45.79 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v1) = v6) | ~
% 276.20/45.79 | (times_times_int(v2, v0) = v4) | ~
% 276.20/45.79 | (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 276.20/45.79 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 276.20/45.79 | int(v1) | ~ int(v0) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9:
% 276.20/45.79 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12: bool]
% 276.20/45.79 | : ? [v13: bool] : ((hAPP_i1948725293t_bool(ord_less_int, v2) = v8
% 276.20/45.79 | & hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9) &
% 276.20/45.79 | ~ hBOOL(v9)) | (hAPP_i1948725293t_bool(ord_less_int, v0) = v10
% 276.20/45.79 | & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) & bool(v11)
% 276.20/45.79 | & ~ hBOOL(v11)) | (hAPP_int_bool(all_1760_0, v2) = v12 &
% 276.20/45.79 | bool(v12) & ~ hBOOL(v12)) | (hAPP_int_bool(all_1760_0, v0) =
% 276.20/45.79 | v13 & bool(v13) & ~ hBOOL(v13))))
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1066) implies:
% 276.20/45.79 | (1067) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1760_0
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (146) with fresh symbol all_1766_0 gives:
% 276.20/45.79 | (1068) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1766_0
% 276.20/45.79 | & fun_int_bool(all_1766_0) & ! [v0: fun_int_bool] : ! [v1: nat] :
% 276.20/45.79 | ! [v2: int] : ! [v3: bool] : ( ~
% 276.20/45.79 | (hAPP_nat_int(semiri1621563631at_int, v1) = v2) | ~
% 276.20/45.79 | (hAPP_int_bool(v0, v2) = v3) | ~ fun_int_bool(v0) | ~ nat(v1) |
% 276.20/45.79 | hBOOL(v3) | ? [v4: int] : ? [v5: bool] : ? [v6: bool] :
% 276.20/45.79 | (hAPP_int_bool(v0, v4) = v6 & hAPP_int_bool(all_1766_0, v4) = v5 &
% 276.20/45.79 | int(v4) & bool(v6) & bool(v5) & hBOOL(v5) & ~ hBOOL(v6))) & ?
% 276.20/45.79 | [v0: fun_int_bool] : ! [v1: int] : ! [v2: bool] : ( ~
% 276.20/45.79 | (hAPP_int_bool(all_1766_0, v1) = v2) | ~ fun_int_bool(v0) | ~
% 276.20/45.79 | int(v1) | ~ hBOOL(v2) | ? [v3: bool] : ? [v4: nat] : ? [v5:
% 276.20/45.79 | int] : ? [v6: bool] : (nat(v4) &
% 276.20/45.79 | ((hAPP_nat_int(semiri1621563631at_int, v4) = v5 &
% 276.20/45.79 | hAPP_int_bool(v0, v5) = v6 & int(v5) & bool(v6) & ~
% 276.20/45.79 | hBOOL(v6)) | (hAPP_int_bool(v0, v1) = v3 & bool(v3) &
% 276.20/45.79 | hBOOL(v3)))))
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1068) implies:
% 276.20/45.79 | (1069) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1766_0
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (84) with fresh symbol all_1769_0 gives:
% 276.20/45.79 | (1070) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1769_0
% 276.20/45.79 | & fun_int_bool(all_1769_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.79 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 276.20/45.79 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v1) = v6) | ~
% 276.20/45.79 | (times_times_int(v2, v0) = v4) | ~
% 276.20/45.79 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 276.20/45.79 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 276.20/45.79 | int(v1) | ~ int(v0) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9:
% 276.20/45.79 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12: bool]
% 276.20/45.79 | : ? [v13: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 276.20/45.79 | v8 & hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9)
% 276.20/45.79 | & ~ hBOOL(v9)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v0)
% 276.20/45.79 | = v10 & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) &
% 276.20/45.79 | bool(v11) & ~ hBOOL(v11)) | (hAPP_int_bool(all_1769_0, v3) =
% 276.20/45.79 | v12 & bool(v12) & ~ hBOOL(v12)) | (hAPP_int_bool(all_1769_0,
% 276.20/45.79 | v0) = v13 & bool(v13) & ~ hBOOL(v13))))
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1070) implies:
% 276.20/45.79 | (1071) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1769_0
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (225) with fresh symbols all_1772_0, all_1772_1,
% 276.20/45.79 | all_1772_2, all_1772_3, all_1772_4, all_1772_5, all_1772_6, all_1772_7,
% 276.20/45.79 | all_1772_8, all_1772_9, all_1772_10, all_1772_11 gives:
% 276.20/45.79 | (1072) zcong(s1, s) = all_1772_1 & times_times_int(all_1772_5, m) =
% 276.20/45.79 | all_1772_4 & number_number_of_int(all_1772_6) = all_1772_5 &
% 276.20/45.79 | bit1(pls) = all_1772_8 & bit0(all_1772_7) = all_1772_6 &
% 276.20/45.79 | bit0(all_1772_8) = all_1772_7 &
% 276.20/45.79 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1772_11
% 276.20/45.79 | & hAPP_i1948725293t_bool(ord_less_int, s) = all_1772_9 &
% 276.20/45.79 | plus_plus_int(all_1772_4, one_one_int) = all_1772_3 &
% 276.20/45.79 | hAPP_int_bool(all_1772_1, all_1772_3) = all_1772_0 &
% 276.20/45.79 | hAPP_int_bool(all_1772_9, all_1772_3) = all_1772_2 &
% 276.20/45.79 | hAPP_int_bool(all_1772_11, s) = all_1772_10 &
% 276.20/45.79 | fun_int_bool(all_1772_1) & fun_int_bool(all_1772_9) &
% 276.20/45.79 | fun_int_bool(all_1772_11) & int(all_1772_3) & int(all_1772_4) &
% 276.20/45.79 | int(all_1772_5) & int(all_1772_6) & int(all_1772_7) &
% 276.20/45.79 | int(all_1772_8) & bool(all_1772_0) & bool(all_1772_2) &
% 276.20/45.79 | bool(all_1772_10) & hBOOL(all_1772_0) & hBOOL(all_1772_2) &
% 276.20/45.79 | hBOOL(all_1772_10)
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1072) implies:
% 276.20/45.79 | (1073) hBOOL(all_1772_2)
% 276.20/45.79 | (1074) hAPP_int_bool(all_1772_9, all_1772_3) = all_1772_2
% 276.20/45.79 | (1075) plus_plus_int(all_1772_4, one_one_int) = all_1772_3
% 276.20/45.79 | (1076) hAPP_i1948725293t_bool(ord_less_int, s) = all_1772_9
% 276.20/45.79 | (1077) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1772_11
% 276.20/45.79 | (1078) bit0(all_1772_8) = all_1772_7
% 276.20/45.79 | (1079) bit0(all_1772_7) = all_1772_6
% 276.20/45.79 | (1080) bit1(pls) = all_1772_8
% 276.20/45.79 | (1081) number_number_of_int(all_1772_6) = all_1772_5
% 276.20/45.79 | (1082) times_times_int(all_1772_5, m) = all_1772_4
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (237) with fresh symbols all_1774_0, all_1774_1,
% 276.20/45.79 | all_1774_2, all_1774_3, all_1774_4, all_1774_5, all_1774_6, all_1774_7,
% 276.20/45.79 | all_1774_8, all_1774_9, all_1774_10, all_1774_11, all_1774_12 gives:
% 276.20/45.79 | (1083) zcong(all_1774_8, all_1774_6) = all_1774_5 &
% 276.20/45.79 | times_times_int(all_1774_3, m) = all_1774_2 &
% 276.20/45.79 | number_number_of_int(all_1774_4) = all_1774_3 & bit1(pls) =
% 276.20/45.79 | all_1774_11 & bit0(all_1774_10) = all_1774_4 & bit0(all_1774_11) =
% 276.20/45.79 | all_1774_10 & number_number_of_nat(all_1774_10) = all_1774_9 &
% 276.20/45.79 | power_power_int(s) = all_1774_12 & power_power_int(s1) = all_1774_7
% 276.20/45.79 | & hAPP_nat_int(all_1774_7, all_1774_9) = all_1774_6 &
% 276.20/45.79 | hAPP_nat_int(all_1774_12, all_1774_9) = all_1774_8 &
% 276.20/45.79 | plus_plus_int(all_1774_2, one_one_int) = all_1774_1 &
% 276.20/45.79 | hAPP_int_bool(all_1774_5, all_1774_1) = all_1774_0 &
% 276.20/45.79 | fun_nat_int(all_1774_7) & fun_nat_int(all_1774_12) &
% 276.20/45.79 | fun_int_bool(all_1774_5) & nat(all_1774_9) & int(all_1774_1) &
% 276.20/45.79 | int(all_1774_2) & int(all_1774_3) & int(all_1774_4) &
% 276.20/45.79 | int(all_1774_6) & int(all_1774_8) & int(all_1774_10) &
% 276.20/45.79 | int(all_1774_11) & bool(all_1774_0) & hBOOL(all_1774_0)
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1083) implies:
% 276.20/45.79 | (1084) plus_plus_int(all_1774_2, one_one_int) = all_1774_1
% 276.20/45.79 | (1085) number_number_of_nat(all_1774_10) = all_1774_9
% 276.20/45.79 | (1086) bit0(all_1774_11) = all_1774_10
% 276.20/45.79 | (1087) bit0(all_1774_10) = all_1774_4
% 276.20/45.79 | (1088) bit1(pls) = all_1774_11
% 276.20/45.79 | (1089) number_number_of_int(all_1774_4) = all_1774_3
% 276.20/45.79 | (1090) times_times_int(all_1774_3, m) = all_1774_2
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (205) with fresh symbols all_1779_0, all_1779_1,
% 276.20/45.79 | all_1779_2, all_1779_3, all_1779_4, all_1779_5, all_1779_6, all_1779_7,
% 276.20/45.79 | all_1779_8, all_1779_9, all_1779_10, all_1779_11, all_1779_12 gives:
% 276.20/45.79 | (1091) minus_minus_int(all_1779_3, all_1779_2) = all_1779_1 &
% 276.20/45.79 | times_times_int(all_1779_9, m) = all_1779_8 &
% 276.20/45.79 | number_number_of_int(all_1779_10) = all_1779_9 &
% 276.20/45.79 | number_number_of_int(min) = all_1779_2 & bit1(pls) = all_1779_12 &
% 276.20/45.79 | bit0(all_1779_11) = all_1779_10 & bit0(all_1779_12) = all_1779_11 &
% 276.20/45.79 | number_number_of_nat(all_1779_11) = all_1779_4 & power_power_int(s)
% 276.20/45.79 | = all_1779_5 & hAPP_i1948725293t_bool(dvd_dvd_int, all_1779_7) =
% 276.20/45.79 | all_1779_6 & hAPP_nat_int(all_1779_5, all_1779_4) = all_1779_3 &
% 276.20/45.79 | plus_plus_int(all_1779_8, one_one_int) = all_1779_7 &
% 276.20/45.79 | hAPP_int_bool(all_1779_6, all_1779_1) = all_1779_0 &
% 276.20/45.79 | fun_nat_int(all_1779_5) & fun_int_bool(all_1779_6) & nat(all_1779_4)
% 276.20/45.79 | & int(all_1779_1) & int(all_1779_2) & int(all_1779_3) &
% 276.20/45.79 | int(all_1779_7) & int(all_1779_8) & int(all_1779_9) &
% 276.20/45.79 | int(all_1779_10) & int(all_1779_11) & int(all_1779_12) &
% 276.20/45.79 | bool(all_1779_0) & hBOOL(all_1779_0)
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1091) implies:
% 276.20/45.79 | (1092) plus_plus_int(all_1779_8, one_one_int) = all_1779_7
% 276.20/45.79 | (1093) number_number_of_nat(all_1779_11) = all_1779_4
% 276.20/45.79 | (1094) bit0(all_1779_12) = all_1779_11
% 276.20/45.79 | (1095) bit0(all_1779_11) = all_1779_10
% 276.20/45.79 | (1096) bit1(pls) = all_1779_12
% 276.20/45.79 | (1097) number_number_of_int(min) = all_1779_2
% 276.20/45.79 | (1098) number_number_of_int(all_1779_10) = all_1779_9
% 276.20/45.79 | (1099) times_times_int(all_1779_9, m) = all_1779_8
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (85) with fresh symbol all_1790_0 gives:
% 276.20/45.79 | (1100) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1790_0
% 276.20/45.79 | & fun_int_bool(all_1790_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.79 | int] : ! [v3: int] : ! [v4: int] : ! [v5: fun_int_bool] : !
% 276.20/45.79 | [v6: int] : ! [v7: bool] : ( ~ (times_times_int(v3, v1) = v6) | ~
% 276.20/45.79 | (times_times_int(v2, v0) = v4) | ~
% 276.20/45.79 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5) | ~
% 276.20/45.79 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 276.20/45.79 | int(v1) | ~ int(v0) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9:
% 276.20/45.79 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12: bool]
% 276.20/45.79 | : ? [v13: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 276.20/45.79 | v8 & hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9)
% 276.20/45.79 | & ~ hBOOL(v9)) | (hAPP_i1948725293t_bool(ord_less_eq_int, v0)
% 276.20/45.79 | = v10 & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) &
% 276.20/45.79 | bool(v11) & ~ hBOOL(v11)) | (hAPP_int_bool(all_1790_0, v2) =
% 276.20/45.79 | v12 & bool(v12) & ~ hBOOL(v12)) | (hAPP_int_bool(all_1790_0,
% 276.20/45.79 | v0) = v13 & bool(v13) & ~ hBOOL(v13))))
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1100) implies:
% 276.20/45.79 | (1101) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1790_0
% 276.20/45.79 |
% 276.20/45.79 | DELTA: instantiating (227) with fresh symbol all_1793_0 gives:
% 276.20/45.79 | (1102) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1793_0 &
% 276.20/45.79 | fun_int_bool(all_1793_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.79 | int] : ! [v3: bool] : ! [v4: bool] : ! [v5: bool] : (v2 = v1 |
% 276.20/45.79 | ~ (hAPP_int_bool(all_1793_0, v2) = v3) | ~
% 276.20/45.79 | (hAPP_int_bool(all_1793_0, v1) = v4) | ~
% 276.20/45.79 | (hAPP_int_bool(all_1793_0, v0) = v5) | ~ int(v2) | ~ int(v1) |
% 276.20/45.79 | ~ int(v0) | ~ hBOOL(v5) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v6:
% 276.20/45.79 | fun_int_bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9:
% 276.20/45.79 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ((zcong(v2,
% 276.20/45.79 | v1) = v6 & hAPP_int_bool(v6, v0) = v7 & fun_int_bool(v6) &
% 276.20/45.79 | bool(v7) & ~ hBOOL(v7)) |
% 276.20/45.79 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v8 &
% 276.20/45.79 | hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 276.20/45.79 | hBOOL(v9)) | (hAPP_i1948725293t_bool(ord_less_int, v1) = v10 &
% 276.20/45.79 | hAPP_int_bool(v10, v0) = v11 & fun_int_bool(v10) & bool(v11) &
% 276.20/45.79 | ~ hBOOL(v11))))
% 276.20/45.79 |
% 276.20/45.79 | ALPHA: (1102) implies:
% 276.20/45.79 | (1103) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1793_0
% 276.20/45.79 |
% 276.20/45.80 | DELTA: instantiating (243) with fresh symbol all_1796_0 gives:
% 276.20/45.80 | (1104) number_number_of_int(min) = all_1796_0 & int(all_1796_0) & ! [v0:
% 276.20/45.80 | int] : ! [v1: int] : ! [v2: fun_int_bool] : ! [v3: bool] : ( ~
% 276.20/45.80 | (zcong(v0, zero_zero_int) = v2) | ~ (hAPP_int_bool(v2, v1) = v3)
% 276.20/45.80 | | ~ int(v1) | ~ int(v0) | ~ hBOOL(v3) | legendre(v0, v1) =
% 276.20/45.80 | zero_zero_int) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.80 | fun_int_bool] : ! [v3: bool] : ( ~ (zcong(v0, zero_zero_int) =
% 276.20/45.80 | v2) | ~ (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0)
% 276.20/45.80 | | hBOOL(v3) | ? [v4: fun_int_bool] : ? [v5: bool] : ? [v6: int]
% 276.20/45.80 | : (((v6 = all_1796_0 & legendre(v0, v1) = all_1796_0) |
% 276.20/45.80 | (quadRes(v1) = v4 & hAPP_int_bool(v4, v0) = v5 &
% 276.20/45.80 | fun_int_bool(v4) & bool(v5) & hBOOL(v5))) & ((v6 =
% 276.20/45.80 | one_one_int & legendre(v0, v1) = one_one_int) | (quadRes(v1)
% 276.20/45.80 | = v4 & hAPP_int_bool(v4, v0) = v5 & fun_int_bool(v4) &
% 276.20/45.80 | bool(v5) & ~ hBOOL(v5)))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1104) implies:
% 276.20/45.80 | (1105) number_number_of_int(min) = all_1796_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (96) with fresh symbol all_1799_0 gives:
% 276.20/45.80 | (1106) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1799_0
% 276.20/45.80 | & fun_int_bool(all_1799_0) & ! [v0: fun_nat_bool] : ! [v1: nat] :
% 276.20/45.80 | ! [v2: bool] : ( ~ (hAPP_nat_bool(v0, v1) = v2) | ~
% 276.20/45.80 | fun_nat_bool(v0) | ~ nat(v1) | hBOOL(v2) | ? [v3: int] : ? [v4:
% 276.20/45.80 | bool] : ? [v5: nat] : ? [v6: bool] : (nat_1(v3) = v5 &
% 276.20/45.80 | hAPP_nat_bool(v0, v5) = v6 & hAPP_int_bool(all_1799_0, v3) = v4
% 276.20/45.80 | & nat(v5) & int(v3) & bool(v6) & bool(v4) & hBOOL(v4) & ~
% 276.20/45.80 | hBOOL(v6))) & ? [v0: fun_nat_bool] : ! [v1: int] : ! [v2:
% 276.20/45.80 | bool] : ( ~ (hAPP_int_bool(all_1799_0, v1) = v2) | ~
% 276.20/45.80 | fun_nat_bool(v0) | ~ int(v1) | ~ hBOOL(v2) | ? [v3: nat] : ?
% 276.20/45.80 | [v4: bool] : ? [v5: nat] : ? [v6: bool] : (nat(v5) & ((nat_1(v1)
% 276.20/45.80 | = v3 & hAPP_nat_bool(v0, v3) = v4 & nat(v3) & bool(v4) &
% 276.20/45.80 | hBOOL(v4)) | (hAPP_nat_bool(v0, v5) = v6 & bool(v6) & ~
% 276.20/45.80 | hBOOL(v6)))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1106) implies:
% 276.20/45.80 | (1107) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1799_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (239) with fresh symbols all_1802_0, all_1802_1,
% 276.20/45.80 | all_1802_2, all_1802_3, all_1802_4, all_1802_5, all_1802_6, all_1802_7,
% 276.20/45.80 | all_1802_8, all_1802_9, all_1802_10, all_1802_11, all_1802_12 gives:
% 276.20/45.80 | (1108) zcong(s1, all_1802_5) = all_1802_1 & times_times_int(all_1802_8, m)
% 276.20/45.80 | = all_1802_7 & number_number_of_int(all_1802_9) = all_1802_8 &
% 276.20/45.80 | bit1(pls) = all_1802_11 & bit0(all_1802_10) = all_1802_9 &
% 276.20/45.80 | bit0(all_1802_11) = all_1802_10 &
% 276.20/45.80 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1802_12
% 276.20/45.80 | & hAPP_i1948725293t_bool(ord_less_int, all_1802_5) = all_1802_3 &
% 276.20/45.80 | plus_plus_int(all_1802_7, one_one_int) = all_1802_6 &
% 276.20/45.80 | hAPP_int_bool(all_1802_1, all_1802_6) = all_1802_0 &
% 276.20/45.80 | hAPP_int_bool(all_1802_3, all_1802_6) = all_1802_2 &
% 276.20/45.80 | hAPP_int_bool(all_1802_12, all_1802_5) = all_1802_4 &
% 276.20/45.80 | fun_int_bool(all_1802_1) & fun_int_bool(all_1802_3) &
% 276.20/45.80 | fun_int_bool(all_1802_12) & int(all_1802_5) & int(all_1802_6) &
% 276.20/45.80 | int(all_1802_7) & int(all_1802_8) & int(all_1802_9) &
% 276.20/45.80 | int(all_1802_10) & int(all_1802_11) & bool(all_1802_0) &
% 276.20/45.80 | bool(all_1802_2) & bool(all_1802_4) & hBOOL(all_1802_0) &
% 276.20/45.80 | hBOOL(all_1802_2) & hBOOL(all_1802_4)
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1108) implies:
% 276.20/45.80 | (1109) hBOOL(all_1802_2)
% 276.20/45.80 | (1110) int(all_1802_5)
% 276.20/45.80 | (1111) hAPP_int_bool(all_1802_3, all_1802_6) = all_1802_2
% 276.20/45.80 | (1112) plus_plus_int(all_1802_7, one_one_int) = all_1802_6
% 276.20/45.80 | (1113) hAPP_i1948725293t_bool(ord_less_int, all_1802_5) = all_1802_3
% 276.20/45.80 | (1114) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1802_12
% 276.20/45.80 | (1115) bit0(all_1802_11) = all_1802_10
% 276.20/45.80 | (1116) bit0(all_1802_10) = all_1802_9
% 276.20/45.80 | (1117) bit1(pls) = all_1802_11
% 276.20/45.80 | (1118) number_number_of_int(all_1802_9) = all_1802_8
% 276.20/45.80 | (1119) times_times_int(all_1802_8, m) = all_1802_7
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (185) with fresh symbols all_1804_0, all_1804_1 gives:
% 276.20/45.80 | (1120) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1804_0
% 276.20/45.80 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1804_1 &
% 276.20/45.80 | fun_int_bool(all_1804_0) & fun_int_bool(all_1804_1) & ! [v0: int] :
% 276.20/45.80 | ! [v1: int] : ! [v2: nat] : ! [v3: fun_nat_bool] : ! [v4: nat] :
% 276.20/45.80 | ! [v5: bool] : ( ~ (nat_1(v1) = v2) | ~ (nat_1(v0) = v4) | ~
% 276.20/45.80 | (hAPP_n1699378549t_bool(ord_less_eq_nat, v2) = v3) | ~
% 276.20/45.80 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | ? [v6:
% 276.20/45.80 | bool] : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 276.20/45.80 | ((hAPP_int_bool(all_1804_0, v0) = v7 & hAPP_int_bool(all_1804_1,
% 276.20/45.80 | v1) = v6 & bool(v7) & bool(v6) & ~ hBOOL(v7) & ~
% 276.20/45.80 | hBOOL(v6)) | (( ~ hBOOL(v5) |
% 276.20/45.80 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 &
% 276.20/45.80 | hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9) &
% 276.20/45.80 | hBOOL(v9))) & (hBOOL(v5) |
% 276.20/45.80 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 &
% 276.20/45.80 | hAPP_int_bool(v8, v0) = v9 & fun_int_bool(v8) & bool(v9) &
% 276.20/45.80 | ~ hBOOL(v9))))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1120) implies:
% 276.20/45.80 | (1121) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1804_1
% 276.20/45.80 | (1122) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1804_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (97) with fresh symbol all_1807_0 gives:
% 276.20/45.80 | (1123) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1807_0
% 276.20/45.80 | & fun_int_bool(all_1807_0) & ! [v0: fun_nat_bool] : ! [v1: nat] :
% 276.20/45.80 | ! [v2: bool] : ( ~ (hAPP_nat_bool(v0, v1) = v2) | ~
% 276.20/45.80 | fun_nat_bool(v0) | ~ nat(v1) | ~ hBOOL(v2) | ? [v3: int] : ?
% 276.20/45.80 | [v4: bool] : ? [v5: nat] : ? [v6: bool] : (nat_1(v3) = v5 &
% 276.20/45.80 | hAPP_nat_bool(v0, v5) = v6 & hAPP_int_bool(all_1807_0, v3) = v4
% 276.20/45.80 | & nat(v5) & int(v3) & bool(v6) & bool(v4) & hBOOL(v6) &
% 276.20/45.80 | hBOOL(v4))) & ? [v0: fun_nat_bool] : ! [v1: int] : ! [v2:
% 276.20/45.80 | bool] : ( ~ (hAPP_int_bool(all_1807_0, v1) = v2) | ~
% 276.20/45.80 | fun_nat_bool(v0) | ~ int(v1) | ~ hBOOL(v2) | ? [v3: nat] : ?
% 276.20/45.80 | [v4: bool] : ? [v5: nat] : ? [v6: bool] : (nat(v3) & ((nat_1(v1)
% 276.20/45.80 | = v5 & hAPP_nat_bool(v0, v5) = v6 & nat(v5) & bool(v6) & ~
% 276.20/45.80 | hBOOL(v6)) | (hAPP_nat_bool(v0, v3) = v4 & bool(v4) &
% 276.20/45.80 | hBOOL(v4)))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1123) implies:
% 276.20/45.80 | (1124) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1807_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (272) with fresh symbols all_1810_0, all_1810_1 gives:
% 276.20/45.80 | (1125) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1810_0
% 276.20/45.80 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1810_1 &
% 276.20/45.80 | fun_int_bool(all_1810_0) & fun_int_bool(all_1810_1) & ? [v0:
% 276.20/45.80 | fun_int_bool] : ! [v1: int] : ! [v2: int] : ! [v3: bool] : !
% 276.20/45.80 | [v4: bool] : ( ~ (hAPP_int_bool(all_1810_0, v1) = v4) | ~
% 276.20/45.80 | (hAPP_int_bool(all_1810_1, v2) = v3) | ~ fun_int_bool(v0) | ~
% 276.20/45.80 | int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int]
% 276.20/45.80 | : ? [v6: int] : ? [v7: bool] : ? [v8: int] : ? [v9: bool] :
% 276.20/45.80 | (int(v6) & ((times_times_int(v1, v2) = v5 & int(v5) & ! [v10:
% 276.20/45.80 | int] : ! [v11: int] : ! [v12: bool] : ( ~
% 276.20/45.80 | (plus_plus_int(v10, v5) = v11) | ~ (hAPP_int_bool(v0,
% 276.20/45.80 | v11) = v12) | ~ int(v10) | hBOOL(v12) | ? [v13:
% 276.20/45.80 | bool] : (hAPP_int_bool(v0, v10) = v13 & bool(v13) & ~
% 276.20/45.80 | hBOOL(v13)))) | (plus_plus_int(v6, v2) = v8 &
% 276.20/45.80 | hAPP_int_bool(v0, v8) = v9 & hAPP_int_bool(v0, v6) = v7 &
% 276.20/45.80 | int(v8) & bool(v9) & bool(v7) & hBOOL(v7) & ~ hBOOL(v9)))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1125) implies:
% 276.20/45.80 | (1126) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1810_1
% 276.20/45.80 | (1127) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1810_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (104) with fresh symbols all_1815_0, all_1815_1 gives:
% 276.20/45.80 | (1128) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1815_1
% 276.20/45.80 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1815_0 &
% 276.20/45.80 | fun_int_bool(all_1815_0) & fun_int_bool(all_1815_1) & ! [v0: int] :
% 276.20/45.80 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 276.20/45.80 | fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 276.20/45.80 | (times_times_int(v3, v1) = v6) | ~ (times_times_int(v2, v0) = v4)
% 276.20/45.80 | | ~ (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 276.20/45.80 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 276.20/45.80 | int(v1) | ~ int(v0) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9:
% 276.20/45.80 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12: bool]
% 276.20/45.80 | : ? [v13: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v0) =
% 276.20/45.80 | v10 & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) &
% 276.20/45.80 | bool(v11) & ~ hBOOL(v11)) |
% 276.20/45.80 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v8 &
% 276.20/45.80 | hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9) & ~
% 276.20/45.80 | hBOOL(v9)) | (hAPP_int_bool(all_1815_0, v0) = v13 & bool(v13)
% 276.20/45.80 | & ~ hBOOL(v13)) | (hAPP_int_bool(all_1815_1, v2) = v12 &
% 276.20/45.80 | bool(v12) & ~ hBOOL(v12))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1128) implies:
% 276.20/45.80 | (1129) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1815_0
% 276.20/45.80 | (1130) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1815_1
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (106) with fresh symbols all_1818_0, all_1818_1 gives:
% 276.20/45.80 | (1131) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1818_0
% 276.20/45.80 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1818_1 &
% 276.20/45.80 | fun_int_bool(all_1818_0) & fun_int_bool(all_1818_1) & ! [v0: int] :
% 276.20/45.80 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 276.20/45.80 | fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 276.20/45.80 | (times_times_int(v3, v1) = v6) | ~ (times_times_int(v2, v0) = v4)
% 276.20/45.80 | | ~ (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 276.20/45.80 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 276.20/45.80 | int(v1) | ~ int(v0) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9:
% 276.20/45.80 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12: bool]
% 276.20/45.80 | : ? [v13: bool] : ((hAPP_i1948725293t_bool(ord_less_int, v2) = v8
% 276.20/45.80 | & hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9) &
% 276.20/45.80 | ~ hBOOL(v9)) | (hAPP_i1948725293t_bool(ord_less_int, v0) = v10
% 276.20/45.80 | & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) & bool(v11)
% 276.20/45.80 | & ~ hBOOL(v11)) | (hAPP_int_bool(all_1818_0, v0) = v13 &
% 276.20/45.80 | bool(v13) & ~ hBOOL(v13)) | (hAPP_int_bool(all_1818_1, v3) =
% 276.20/45.80 | v12 & bool(v12) & ~ hBOOL(v12))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1131) implies:
% 276.20/45.80 | (1132) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1818_1
% 276.20/45.80 | (1133) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1818_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (270) with fresh symbols all_1830_0, all_1830_1 gives:
% 276.20/45.80 | (1134) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1830_0
% 276.20/45.80 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1830_1 &
% 276.20/45.80 | fun_int_bool(all_1830_0) & fun_int_bool(all_1830_1) & ? [v0:
% 276.20/45.80 | fun_int_bool] : ! [v1: int] : ! [v2: int] : ! [v3: bool] : !
% 276.20/45.80 | [v4: bool] : ( ~ (hAPP_int_bool(all_1830_0, v1) = v4) | ~
% 276.20/45.80 | (hAPP_int_bool(all_1830_1, v2) = v3) | ~ fun_int_bool(v0) | ~
% 276.20/45.80 | int(v2) | ~ int(v1) | ~ hBOOL(v4) | ~ hBOOL(v3) | ? [v5: int]
% 276.20/45.80 | : ? [v6: int] : ? [v7: bool] : ? [v8: int] : ? [v9: bool] :
% 276.20/45.80 | (int(v6) & ((minus_minus_int(v6, v2) = v8 & hAPP_int_bool(v0, v8)
% 276.20/45.80 | = v9 & hAPP_int_bool(v0, v6) = v7 & int(v8) & bool(v9) &
% 276.20/45.80 | bool(v7) & hBOOL(v7) & ~ hBOOL(v9)) | (times_times_int(v1,
% 276.20/45.80 | v2) = v5 & int(v5) & ! [v10: int] : ! [v11: int] : !
% 276.20/45.80 | [v12: bool] : ( ~ (minus_minus_int(v10, v5) = v11) | ~
% 276.20/45.80 | (hAPP_int_bool(v0, v11) = v12) | ~ int(v10) | hBOOL(v12)
% 276.20/45.80 | | ? [v13: bool] : (hAPP_int_bool(v0, v10) = v13 &
% 276.20/45.80 | bool(v13) & ~ hBOOL(v13)))))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1134) implies:
% 276.20/45.80 | (1135) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1830_1
% 276.20/45.80 | (1136) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1830_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (103) with fresh symbols all_1832_0, all_1832_1 gives:
% 276.20/45.80 | (1137) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1832_0
% 276.20/45.80 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1832_1 &
% 276.20/45.80 | fun_int_bool(all_1832_0) & fun_int_bool(all_1832_1) & ! [v0: int] :
% 276.20/45.80 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 276.20/45.80 | fun_int_bool] : ! [v6: int] : ! [v7: bool] : ( ~
% 276.20/45.80 | (times_times_int(v3, v1) = v6) | ~ (times_times_int(v2, v0) = v4)
% 276.20/45.80 | | ~ (hAPP_i1948725293t_bool(ord_less_int, v4) = v5) | ~
% 276.20/45.80 | (hAPP_int_bool(v5, v6) = v7) | ~ int(v3) | ~ int(v2) | ~
% 276.20/45.80 | int(v1) | ~ int(v0) | hBOOL(v7) | ? [v8: fun_int_bool] : ? [v9:
% 276.20/45.80 | bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12: bool]
% 276.20/45.80 | : ? [v13: bool] : ((hAPP_i1948725293t_bool(ord_less_eq_int, v2) =
% 276.20/45.80 | v8 & hAPP_int_bool(v8, v3) = v9 & fun_int_bool(v8) & bool(v9)
% 276.20/45.80 | & ~ hBOOL(v9)) | (hAPP_i1948725293t_bool(ord_less_int, v0) =
% 276.20/45.80 | v10 & hAPP_int_bool(v10, v1) = v11 & fun_int_bool(v10) &
% 276.20/45.80 | bool(v11) & ~ hBOOL(v11)) | (hAPP_int_bool(all_1832_0, v0) =
% 276.20/45.80 | v13 & bool(v13) & ~ hBOOL(v13)) | (hAPP_int_bool(all_1832_1,
% 276.20/45.80 | v2) = v12 & bool(v12) & ~ hBOOL(v12))))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1137) implies:
% 276.20/45.80 | (1138) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1832_1
% 276.20/45.80 | (1139) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1832_0
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (197) with fresh symbols all_1835_0, all_1835_1,
% 276.20/45.80 | all_1835_2, all_1835_3, all_1835_4, all_1835_5, all_1835_6, all_1835_7,
% 276.20/45.80 | all_1835_8, all_1835_9, all_1835_10, all_1835_11, all_1835_12,
% 276.20/45.80 | all_1835_13 gives:
% 276.20/45.80 | (1140) times_times_int(all_1835_2, all_1835_0) = all_1835_6 &
% 276.20/45.80 | times_times_int(all_1835_4, m) = all_1835_3 &
% 276.20/45.80 | number_number_of_int(all_1835_5) = all_1835_4 & bit1(pls) =
% 276.20/45.80 | all_1835_12 & bit0(all_1835_11) = all_1835_5 & bit0(all_1835_12) =
% 276.20/45.80 | all_1835_11 & number_number_of_nat(all_1835_11) = all_1835_10 &
% 276.20/45.80 | power_power_int(y) = all_1835_8 & power_power_int(x) = all_1835_13 &
% 276.20/45.80 | hAPP_nat_int(all_1835_8, all_1835_10) = all_1835_7 &
% 276.20/45.80 | hAPP_nat_int(all_1835_13, all_1835_10) = all_1835_9 &
% 276.20/45.80 | hAPP_nat_int(semiri1621563631at_int, n) = all_1835_1 &
% 276.20/45.80 | plus_plus_int(all_1835_3, one_one_int) = all_1835_2 &
% 276.20/45.80 | plus_plus_int(all_1835_9, all_1835_7) = all_1835_6 &
% 276.20/45.80 | plus_plus_int(one_one_int, all_1835_1) = all_1835_0 &
% 276.20/45.80 | fun_nat_int(all_1835_8) & fun_nat_int(all_1835_13) &
% 276.20/45.80 | nat(all_1835_10) & int(all_1835_0) & int(all_1835_1) &
% 276.20/45.80 | int(all_1835_2) & int(all_1835_3) & int(all_1835_4) &
% 276.20/45.80 | int(all_1835_5) & int(all_1835_6) & int(all_1835_7) &
% 276.20/45.80 | int(all_1835_9) & int(all_1835_11) & int(all_1835_12)
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1140) implies:
% 276.20/45.80 | (1141) plus_plus_int(one_one_int, all_1835_1) = all_1835_0
% 276.20/45.80 | (1142) plus_plus_int(all_1835_3, one_one_int) = all_1835_2
% 276.20/45.80 | (1143) hAPP_nat_int(semiri1621563631at_int, n) = all_1835_1
% 276.20/45.80 | (1144) number_number_of_nat(all_1835_11) = all_1835_10
% 276.20/45.80 | (1145) bit0(all_1835_12) = all_1835_11
% 276.20/45.80 | (1146) bit0(all_1835_11) = all_1835_5
% 276.20/45.80 | (1147) bit1(pls) = all_1835_12
% 276.20/45.80 | (1148) number_number_of_int(all_1835_5) = all_1835_4
% 276.20/45.80 | (1149) times_times_int(all_1835_4, m) = all_1835_3
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (265) with fresh symbols all_1843_0, all_1843_1,
% 276.20/45.80 | all_1843_2 gives:
% 276.20/45.80 | (1150) bit1(pls) = all_1843_2 & bit0(all_1843_2) = all_1843_1 &
% 276.20/45.80 | number_number_of_nat(all_1843_1) = all_1843_0 & nat(all_1843_0) &
% 276.20/45.80 | int(all_1843_1) & int(all_1843_2) & ! [v0: int] : ! [v1: int] : !
% 276.20/45.80 | [v2: int] : ! [v3: int] : (v3 = v2 | ~ (abs_abs_int(v1) = v3) | ~
% 276.20/45.80 | (abs_abs_int(v0) = v2) | ~ int(v1) | ~ int(v0) | ? [v4:
% 276.20/45.80 | fun_nat_int] : ? [v5: int] : ? [v6: fun_nat_int] : ? [v7:
% 276.20/45.80 | int] : ( ~ (v7 = v5) & power_power_int(v1) = v6 &
% 276.20/45.80 | power_power_int(v0) = v4 & hAPP_nat_int(v6, all_1843_0) = v7 &
% 276.20/45.80 | hAPP_nat_int(v4, all_1843_0) = v5 & fun_nat_int(v6) &
% 276.20/45.80 | fun_nat_int(v4) & int(v7) & int(v5))) & ! [v0: int] : ! [v1:
% 276.20/45.80 | int] : ! [v2: int] : ( ~ (abs_abs_int(v1) = v2) | ~
% 276.20/45.80 | (abs_abs_int(v0) = v2) | ~ int(v1) | ~ int(v0) | ? [v3:
% 276.20/45.80 | fun_nat_int] : ? [v4: int] : ? [v5: fun_nat_int] :
% 276.20/45.80 | (power_power_int(v1) = v5 & power_power_int(v0) = v3 &
% 276.20/45.80 | hAPP_nat_int(v5, all_1843_0) = v4 & hAPP_nat_int(v3, all_1843_0)
% 276.20/45.80 | = v4 & fun_nat_int(v5) & fun_nat_int(v3) & int(v4)))
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1150) implies:
% 276.20/45.80 | (1151) number_number_of_nat(all_1843_1) = all_1843_0
% 276.20/45.80 | (1152) bit0(all_1843_2) = all_1843_1
% 276.20/45.80 | (1153) bit1(pls) = all_1843_2
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (174) with fresh symbols all_1846_0, all_1846_1,
% 276.20/45.80 | all_1846_2, all_1846_3, all_1846_4, all_1846_5, all_1846_6, all_1846_7,
% 276.20/45.80 | all_1846_8, all_1846_9, all_1846_10, all_1846_11, all_1846_12,
% 276.20/45.80 | all_1846_13, all_1846_14, all_1846_15 gives:
% 276.20/45.80 | (1154) times_times_int(all_1846_9, all_1846_7) = all_1846_6 &
% 276.20/45.80 | times_times_int(all_1846_11, m) = all_1846_10 &
% 276.20/45.80 | number_number_of_int(all_1846_12) = all_1846_11 & bit1(pls) =
% 276.20/45.80 | all_1846_15 & bit0(all_1846_14) = all_1846_12 & bit0(all_1846_15) =
% 276.20/45.80 | all_1846_14 & number_number_of_nat(all_1846_14) = all_1846_13 &
% 276.20/45.80 | power_power_int(all_1846_4) = all_1846_1 &
% 276.20/45.80 | power_power_int(all_1846_5) = all_1846_3 & hAPP_nat_int(all_1846_1,
% 276.20/45.80 | all_1846_13) = all_1846_0 & hAPP_nat_int(all_1846_3, all_1846_13)
% 276.20/45.80 | = all_1846_2 & hAPP_nat_int(semiri1621563631at_int, n) = all_1846_8
% 276.20/45.80 | & plus_plus_int(all_1846_2, all_1846_0) = all_1846_6 &
% 276.20/45.80 | plus_plus_int(all_1846_10, one_one_int) = all_1846_9 &
% 276.20/45.80 | plus_plus_int(one_one_int, all_1846_8) = all_1846_7 &
% 276.20/45.80 | fun_nat_int(all_1846_1) & fun_nat_int(all_1846_3) & nat(all_1846_13)
% 276.20/45.80 | & int(all_1846_0) & int(all_1846_2) & int(all_1846_4) &
% 276.20/45.80 | int(all_1846_5) & int(all_1846_6) & int(all_1846_7) &
% 276.20/45.80 | int(all_1846_8) & int(all_1846_9) & int(all_1846_10) &
% 276.20/45.80 | int(all_1846_11) & int(all_1846_12) & int(all_1846_14) &
% 276.20/45.80 | int(all_1846_15)
% 276.20/45.80 |
% 276.20/45.80 | ALPHA: (1154) implies:
% 276.20/45.80 | (1155) plus_plus_int(one_one_int, all_1846_8) = all_1846_7
% 276.20/45.80 | (1156) plus_plus_int(all_1846_10, one_one_int) = all_1846_9
% 276.20/45.80 | (1157) hAPP_nat_int(semiri1621563631at_int, n) = all_1846_8
% 276.20/45.80 | (1158) number_number_of_nat(all_1846_14) = all_1846_13
% 276.20/45.80 | (1159) bit0(all_1846_15) = all_1846_14
% 276.20/45.80 | (1160) bit0(all_1846_14) = all_1846_12
% 276.20/45.80 | (1161) bit1(pls) = all_1846_15
% 276.20/45.80 | (1162) number_number_of_int(all_1846_12) = all_1846_11
% 276.20/45.80 | (1163) times_times_int(all_1846_11, m) = all_1846_10
% 276.20/45.80 |
% 276.20/45.80 | DELTA: instantiating (196) with fresh symbol all_1848_0 gives:
% 276.20/45.81 | (1164) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1848_0
% 276.20/45.81 | & fun_int_bool(all_1848_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.81 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] :
% 276.20/45.81 | ! [v7: fun_int_bool] : ! [v8: int] : ! [v9: int] : ! [v10: bool]
% 276.20/45.81 | : ( ~ (times_times_int(v0, v3) = v8) | ~ (times_times_int(v0, v1) =
% 276.20/45.81 | v5) | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v6) = v7) | ~
% 276.20/45.81 | (plus_plus_int(v8, v4) = v9) | ~ (plus_plus_int(v5, v2) = v6) |
% 276.20/45.81 | ~ (hAPP_int_bool(v7, v9) = v10) | ~ int(v4) | ~ int(v3) | ~
% 276.20/45.81 | int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v10) | ? [v11: bool]
% 276.20/45.81 | : ? [v12: fun_int_bool] : ? [v13: bool] : ? [v14: fun_int_bool]
% 276.20/45.81 | : ? [v15: bool] : ? [v16: fun_int_bool] : ? [v17: bool] :
% 276.20/45.81 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v16 &
% 276.20/45.81 | hAPP_int_bool(v16, v3) = v17 & fun_int_bool(v16) & bool(v17) &
% 276.20/45.81 | hBOOL(v17)) | (hAPP_i1948725293t_bool(ord_less_int, v4) = v14
% 276.20/45.81 | & hAPP_int_bool(v14, v0) = v15 & fun_int_bool(v14) & bool(v15)
% 276.20/45.81 | & ~ hBOOL(v15)) | (hAPP_i1948725293t_bool(ord_less_int, v2) =
% 276.20/45.81 | v12 & hAPP_int_bool(v12, v0) = v13 & fun_int_bool(v12) &
% 276.20/45.81 | bool(v13) & ~ hBOOL(v13)) | (hAPP_int_bool(all_1848_0, v2) =
% 276.20/45.81 | v11 & bool(v11) & ~ hBOOL(v11))))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1164) implies:
% 276.20/45.81 | (1165) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1848_0
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (132) with fresh symbol all_1857_0 gives:
% 276.20/45.81 | (1166) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1857_0
% 276.20/45.81 | & fun_int_bool(all_1857_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.81 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] :
% 276.20/45.81 | ! [v7: int] : ! [v8: fun_int_bool] : ! [v9: bool] : ( ~
% 276.20/45.81 | (times_times_int(v1, v3) = v5) | ~ (times_times_int(v0, v2) = v6)
% 276.20/45.81 | | ~ (hAPP_i1948725293t_bool(ord_less_int, v7) = v8) | ~
% 276.20/45.81 | (plus_plus_int(v5, v6) = v7) | ~ (hAPP_int_bool(v8, v4) = v9) |
% 276.20/45.81 | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ int(v0) |
% 276.20/45.81 | hBOOL(v9) | ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 276.20/45.81 | fun_int_bool] : ? [v13: bool] : ? [v14: bool] : ? [v15: bool]
% 276.20/45.81 | : ? [v16: int] : (( ~ (v16 = one_one_int) & plus_plus_int(v1, v0)
% 276.20/45.81 | = v16 & int(v16)) | (hAPP_i1948725293t_bool(ord_less_int, v3)
% 276.20/45.81 | = v10 & hAPP_int_bool(v10, v4) = v11 & fun_int_bool(v10) &
% 276.20/45.81 | bool(v11) & ~ hBOOL(v11)) |
% 276.20/45.81 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v12 &
% 276.20/45.81 | hAPP_int_bool(v12, v4) = v13 & fun_int_bool(v12) & bool(v13) &
% 276.20/45.81 | ~ hBOOL(v13)) | (hAPP_int_bool(all_1857_0, v1) = v14 &
% 276.20/45.81 | bool(v14) & ~ hBOOL(v14)) | (hAPP_int_bool(all_1857_0, v0) =
% 276.20/45.81 | v15 & bool(v15) & ~ hBOOL(v15))))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1166) implies:
% 276.20/45.81 | (1167) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1857_0
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (118) with fresh symbol all_1860_0 gives:
% 276.20/45.81 | (1168) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1860_0
% 276.20/45.81 | & fun_int_bool(all_1860_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.81 | int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] :
% 276.20/45.81 | ! [v7: int] : ! [v8: fun_int_bool] : ! [v9: bool] : ( ~
% 276.20/45.81 | (times_times_int(v1, v3) = v5) | ~ (times_times_int(v0, v2) = v6)
% 276.20/45.81 | | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v7) = v8) | ~
% 276.20/45.81 | (plus_plus_int(v5, v6) = v7) | ~ (hAPP_int_bool(v8, v4) = v9) |
% 276.20/45.81 | ~ int(v4) | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ int(v0) |
% 276.20/45.81 | hBOOL(v9) | ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 276.20/45.81 | fun_int_bool] : ? [v13: bool] : ? [v14: bool] : ? [v15: bool]
% 276.20/45.81 | : ? [v16: int] : (( ~ (v16 = one_one_int) & plus_plus_int(v1, v0)
% 276.20/45.81 | = v16 & int(v16)) | (hAPP_i1948725293t_bool(ord_less_eq_int,
% 276.20/45.81 | v3) = v10 & hAPP_int_bool(v10, v4) = v11 & fun_int_bool(v10)
% 276.20/45.81 | & bool(v11) & ~ hBOOL(v11)) |
% 276.20/45.81 | (hAPP_i1948725293t_bool(ord_less_eq_int, v2) = v12 &
% 276.20/45.81 | hAPP_int_bool(v12, v4) = v13 & fun_int_bool(v12) & bool(v13) &
% 276.20/45.81 | ~ hBOOL(v13)) | (hAPP_int_bool(all_1860_0, v1) = v14 &
% 276.20/45.81 | bool(v14) & ~ hBOOL(v14)) | (hAPP_int_bool(all_1860_0, v0) =
% 276.20/45.81 | v15 & bool(v15) & ~ hBOOL(v15))))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1168) implies:
% 276.20/45.81 | (1169) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1860_0
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (244) with fresh symbols all_1863_0, all_1863_1,
% 276.20/45.81 | all_1863_2 gives:
% 276.20/45.81 | (1170) bit1(pls) = all_1863_2 & bit0(all_1863_2) = all_1863_1 &
% 276.20/45.81 | number_number_of_nat(all_1863_1) = all_1863_0 & nat(all_1863_0) &
% 276.20/45.81 | int(all_1863_1) & int(all_1863_2) & ! [v0: int] : ! [v1: int] : !
% 276.20/45.81 | [v2: fun_int_bool] : ! [v3: bool] : ! [v4: int] : ! [v5:
% 276.20/45.81 | fun_nat_int] : ! [v6: int] : ! [v7: fun_int_bool] : ! [v8:
% 276.20/45.81 | bool] : ( ~ (zcong(v6, v1) = v7) | ~ (quadRes(v0) = v2) | ~
% 276.20/45.81 | (power_power_int(v4) = v5) | ~ (hAPP_nat_int(v5, all_1863_0) =
% 276.20/45.81 | v6) | ~ (hAPP_int_bool(v7, v0) = v8) | ~ (hAPP_int_bool(v2,
% 276.20/45.81 | v1) = v3) | ~ int(v4) | ~ int(v1) | ~ int(v0) | ~
% 276.20/45.81 | hBOOL(v8) | hBOOL(v3)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.81 | fun_int_bool] : ! [v3: bool] : ( ~ (quadRes(v0) = v2) | ~
% 276.20/45.81 | (hAPP_int_bool(v2, v1) = v3) | ~ int(v1) | ~ int(v0) | ~
% 276.20/45.81 | hBOOL(v3) | ? [v4: int] : ? [v5: fun_nat_int] : ? [v6: int] :
% 276.20/45.81 | ? [v7: fun_int_bool] : ? [v8: bool] : (zcong(v6, v1) = v7 &
% 276.20/45.81 | power_power_int(v4) = v5 & hAPP_nat_int(v5, all_1863_0) = v6 &
% 276.20/45.81 | hAPP_int_bool(v7, v0) = v8 & fun_nat_int(v5) & fun_int_bool(v7)
% 276.20/45.81 | & int(v6) & int(v4) & bool(v8) & hBOOL(v8)))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1170) implies:
% 276.20/45.81 | (1171) number_number_of_nat(all_1863_1) = all_1863_0
% 276.20/45.81 | (1172) bit0(all_1863_2) = all_1863_1
% 276.20/45.81 | (1173) bit1(pls) = all_1863_2
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (58) with fresh symbol all_1866_0 gives:
% 276.20/45.81 | (1174) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1866_0 &
% 276.20/45.81 | fun_int_bool(all_1866_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.81 | nat] : ! [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 276.20/45.81 | (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) | ~
% 276.20/45.81 | (hAPP_nat_bool(v3, v4) = v5) | ~ (number_number_of_nat(v1) = v4)
% 276.20/45.81 | | ~ (number_number_of_nat(v0) = v2) | ~ int(v1) | ~ int(v0) |
% 276.20/45.81 | ~ hBOOL(v5) | ? [v6: fun_int_bool] : ? [v7: bool] : ? [v8:
% 276.20/45.81 | bool] : (hAPP_i1948725293t_bool(ord_less_int, v0) = v6 &
% 276.20/45.81 | hAPP_int_bool(v6, v1) = v7 & hAPP_int_bool(all_1866_0, v1) = v8
% 276.20/45.81 | & fun_int_bool(v6) & bool(v8) & bool(v7) & hBOOL(v8) &
% 276.20/45.81 | hBOOL(v7))) & ! [v0: int] : ! [v1: int] : ! [v2: nat] : !
% 276.20/45.81 | [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 276.20/45.81 | (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) | ~
% 276.20/45.81 | (hAPP_nat_bool(v3, v4) = v5) | ~ (number_number_of_nat(v1) = v4)
% 276.20/45.81 | | ~ (number_number_of_nat(v0) = v2) | ~ int(v1) | ~ int(v0) |
% 276.20/45.81 | hBOOL(v5) | ? [v6: fun_int_bool] : ? [v7: bool] : ? [v8: bool]
% 276.20/45.81 | : (hAPP_i1948725293t_bool(ord_less_int, v0) = v6 &
% 276.20/45.81 | hAPP_int_bool(v6, v1) = v7 & fun_int_bool(v6) & bool(v7) & ( ~
% 276.20/45.81 | hBOOL(v7) | (hAPP_int_bool(all_1866_0, v1) = v8 & bool(v8) &
% 276.20/45.81 | ~ hBOOL(v8)))))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1174) implies:
% 276.20/45.81 | (1175) hAPP_i1948725293t_bool(ord_less_int, pls) = all_1866_0
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (150) with fresh symbol all_1869_0 gives:
% 276.20/45.81 | (1176) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1869_0 &
% 276.20/45.81 | fun_int_bool(all_1869_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.81 | nat] : ! [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~
% 276.20/45.81 | (nat_1(v1) = v4) | ~ (nat_1(v0) = v2) | ~
% 276.20/45.81 | (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) | ~
% 276.20/45.81 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | ~
% 276.20/45.81 | hBOOL(v5) | ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool]
% 276.20/45.81 | : (hAPP_i1948725293t_bool(ord_less_int, v0) = v7 &
% 276.20/45.81 | hAPP_int_bool(v7, v1) = v8 & hAPP_int_bool(all_1869_0, v1) = v6
% 276.20/45.81 | & fun_int_bool(v7) & bool(v8) & bool(v6) & hBOOL(v8) &
% 276.20/45.81 | hBOOL(v6))) & ! [v0: int] : ! [v1: int] : ! [v2: nat] : !
% 276.20/45.81 | [v3: fun_nat_bool] : ! [v4: nat] : ! [v5: bool] : ( ~ (nat_1(v1) =
% 276.20/45.81 | v4) | ~ (nat_1(v0) = v2) | ~
% 276.20/45.81 | (hAPP_n1699378549t_bool(ord_less_nat, v2) = v3) | ~
% 276.20/45.81 | (hAPP_nat_bool(v3, v4) = v5) | ~ int(v1) | ~ int(v0) | hBOOL(v5)
% 276.20/45.81 | | ? [v6: bool] : ? [v7: fun_int_bool] : ? [v8: bool] :
% 276.20/45.81 | ((hAPP_i1948725293t_bool(ord_less_int, v0) = v7 &
% 276.20/45.81 | hAPP_int_bool(v7, v1) = v8 & fun_int_bool(v7) & bool(v8) & ~
% 276.20/45.81 | hBOOL(v8)) | (hAPP_int_bool(all_1869_0, v1) = v6 & bool(v6) &
% 276.20/45.81 | ~ hBOOL(v6))))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1176) implies:
% 276.20/45.81 | (1177) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1869_0
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (192) with fresh symbols all_1872_0, all_1872_1,
% 276.20/45.81 | all_1872_2, all_1872_3, all_1872_4, all_1872_5 gives:
% 276.20/45.81 | (1178) number_number_of_int(all_1872_4) = all_1872_2 & bit1(all_1872_5) =
% 276.20/45.81 | all_1872_4 & bit1(pls) = all_1872_5 & bit0(all_1872_5) = all_1872_1
% 276.20/45.81 | & number_number_of_nat(all_1872_1) = all_1872_0 &
% 276.20/45.81 | number_number_of_nat(all_1872_4) = all_1872_3 & nat(all_1872_0) &
% 276.20/45.81 | nat(all_1872_3) & int(all_1872_1) & int(all_1872_2) &
% 276.20/45.81 | int(all_1872_4) & int(all_1872_5) & ! [v0: int] : ! [v1: int] : !
% 276.20/45.81 | [v2: fun_nat_int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : !
% 276.20/45.81 | [v6: int] : ! [v7: int] : ! [v8: int] : ! [v9: fun_nat_int] : !
% 276.20/45.81 | [v10: int] : ! [v11: int] : ! [v12: int] : ! [v13: int] : !
% 276.20/45.81 | [v14: int] : ( ~ (minus_minus_int(v12, v13) = v14) | ~
% 276.20/45.81 | (minus_minus_int(v3, v6) = v7) | ~ (times_times_int(v8, v10) =
% 276.20/45.81 | v11) | ~ (times_times_int(v5, v1) = v6) | ~
% 276.20/45.81 | (times_times_int(all_1872_2, v4) = v5) | ~
% 276.20/45.81 | (times_times_int(all_1872_2, v0) = v8) | ~ (power_power_int(v1) =
% 276.20/45.81 | v9) | ~ (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v9,
% 276.20/45.81 | all_1872_0) = v10) | ~ (hAPP_nat_int(v9, all_1872_3) = v13) |
% 276.20/45.81 | ~ (hAPP_nat_int(v2, all_1872_0) = v4) | ~ (hAPP_nat_int(v2,
% 276.20/45.81 | all_1872_3) = v3) | ~ (plus_plus_int(v7, v11) = v12) | ~
% 276.20/45.81 | int(v1) | ~ int(v0) | ? [v15: int] : ? [v16: fun_nat_int] :
% 276.20/45.81 | (minus_minus_int(v0, v1) = v15 & power_power_int(v15) = v16 &
% 276.20/45.81 | hAPP_nat_int(v16, all_1872_3) = v14 & fun_nat_int(v16) &
% 276.20/45.81 | int(v15) & int(v14)))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1178) implies:
% 276.20/45.81 | (1179) number_number_of_nat(all_1872_1) = all_1872_0
% 276.20/45.81 | (1180) bit0(all_1872_5) = all_1872_1
% 276.20/45.81 | (1181) bit1(pls) = all_1872_5
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (74) with fresh symbols all_1878_0, all_1878_1,
% 276.20/45.81 | all_1878_2, all_1878_3, all_1878_4, all_1878_5 gives:
% 276.20/45.81 | (1182) number_number_of_int(all_1878_4) = all_1878_2 & bit1(all_1878_5) =
% 276.20/45.81 | all_1878_4 & bit1(pls) = all_1878_5 & bit0(all_1878_5) = all_1878_1
% 276.20/45.81 | & number_number_of_nat(all_1878_1) = all_1878_0 &
% 276.20/45.81 | number_number_of_nat(all_1878_4) = all_1878_3 & nat(all_1878_0) &
% 276.20/45.81 | nat(all_1878_3) & int(all_1878_1) & int(all_1878_2) &
% 276.20/45.81 | int(all_1878_4) & int(all_1878_5) & ! [v0: int] : ! [v1: int] : !
% 276.20/45.81 | [v2: fun_nat_int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : !
% 276.20/45.81 | [v6: int] : ! [v7: int] : ! [v8: int] : ! [v9: fun_nat_int] : !
% 276.20/45.81 | [v10: int] : ! [v11: int] : ! [v12: int] : ! [v13: int] : !
% 276.20/45.81 | [v14: int] : ( ~ (times_times_int(v8, v10) = v11) | ~
% 276.20/45.81 | (times_times_int(v5, v1) = v6) | ~ (times_times_int(all_1878_2,
% 276.20/45.81 | v4) = v5) | ~ (times_times_int(all_1878_2, v0) = v8) | ~
% 276.20/45.81 | (power_power_int(v1) = v9) | ~ (power_power_int(v0) = v2) | ~
% 276.20/45.81 | (hAPP_nat_int(v9, all_1878_0) = v10) | ~ (hAPP_nat_int(v9,
% 276.20/45.81 | all_1878_3) = v13) | ~ (hAPP_nat_int(v2, all_1878_0) = v4) |
% 276.20/45.81 | ~ (hAPP_nat_int(v2, all_1878_3) = v3) | ~ (plus_plus_int(v12,
% 276.20/45.81 | v13) = v14) | ~ (plus_plus_int(v7, v11) = v12) | ~
% 276.20/45.81 | (plus_plus_int(v3, v6) = v7) | ~ int(v1) | ~ int(v0) | ? [v15:
% 276.20/45.81 | int] : ? [v16: fun_nat_int] : (power_power_int(v15) = v16 &
% 276.20/45.81 | hAPP_nat_int(v16, all_1878_3) = v14 & plus_plus_int(v0, v1) =
% 276.20/45.81 | v15 & fun_nat_int(v16) & int(v15) & int(v14)))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1182) implies:
% 276.20/45.81 | (1183) number_number_of_nat(all_1878_1) = all_1878_0
% 276.20/45.81 | (1184) bit0(all_1878_5) = all_1878_1
% 276.20/45.81 | (1185) bit1(pls) = all_1878_5
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (127) with fresh symbol all_1896_0 gives:
% 276.20/45.81 | (1186) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1896_0
% 276.20/45.81 | & fun_int_bool(all_1896_0) & ! [v0: int] : ! [v1: nat] : ! [v2:
% 276.20/45.81 | bool] : ! [v3: int] : (v3 = v0 | ~
% 276.20/45.81 | (hAPP_nat_int(semiri1621563631at_int, v1) = v3) | ~
% 276.20/45.81 | (hAPP_int_bool(all_1896_0, v0) = v2) | ~ nat(v1) | ~ int(v0) |
% 276.20/45.81 | ~ hBOOL(v2) | ? [v4: nat] : ( ~ (v4 = v1) & nat_1(v0) = v4 &
% 276.20/45.81 | nat(v4))) & ! [v0: int] : ! [v1: nat] : ! [v2: bool] : !
% 276.20/45.81 | [v3: int] : (v1 = zero_zero_nat | ~
% 276.20/45.81 | (hAPP_nat_int(semiri1621563631at_int, v1) = v3) | ~
% 276.20/45.81 | (hAPP_int_bool(all_1896_0, v0) = v2) | ~ nat(v1) | ~ int(v0) |
% 276.20/45.81 | hBOOL(v2) | ? [v4: nat] : ( ~ (v4 = v1) & nat_1(v0) = v4 &
% 276.20/45.81 | nat(v4))) & ! [v0: int] : ! [v1: nat] : ! [v2: bool] : ( ~
% 276.20/45.81 | (hAPP_nat_int(semiri1621563631at_int, v1) = v0) | ~
% 276.20/45.81 | (hAPP_int_bool(all_1896_0, v0) = v2) | ~ nat(v1) | ~ int(v0) |
% 276.20/45.81 | ~ hBOOL(v2) | nat_1(v0) = v1) & ! [v0: int] : ! [v1: bool] : !
% 276.20/45.81 | [v2: int] : ( ~ (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat)
% 276.20/45.81 | = v2) | ~ (hAPP_int_bool(all_1896_0, v0) = v1) | ~ int(v0) |
% 276.20/45.81 | nat_1(v0) = zero_zero_nat | hBOOL(v1)) & ! [v0: int] : ! [v1:
% 276.20/45.81 | bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) =
% 276.20/45.81 | v0) | ~ (hAPP_int_bool(all_1896_0, v0) = v1) | ~ int(v0) |
% 276.20/45.81 | nat_1(v0) = zero_zero_nat)
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1186) implies:
% 276.20/45.81 | (1187) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1896_0
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (126) with fresh symbol all_1899_0 gives:
% 276.20/45.81 | (1188) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1899_0
% 276.20/45.81 | & fun_int_bool(all_1899_0) & ! [v0: nat] : ! [v1: int] : ! [v2:
% 276.20/45.81 | bool] : ! [v3: int] : (v3 = v1 | ~
% 276.20/45.81 | (hAPP_nat_int(semiri1621563631at_int, v0) = v3) | ~
% 276.20/45.81 | (hAPP_int_bool(all_1899_0, v1) = v2) | ~ nat(v0) | ~ int(v1) |
% 276.20/45.81 | ~ hBOOL(v2) | ? [v4: nat] : ( ~ (v4 = v0) & nat_1(v1) = v4 &
% 276.20/45.81 | nat(v4))) & ! [v0: nat] : ! [v1: int] : ! [v2: bool] : !
% 276.20/45.81 | [v3: int] : (v0 = zero_zero_nat | ~
% 276.20/45.81 | (hAPP_nat_int(semiri1621563631at_int, v0) = v3) | ~
% 276.20/45.81 | (hAPP_int_bool(all_1899_0, v1) = v2) | ~ nat(v0) | ~ int(v1) |
% 276.20/45.81 | hBOOL(v2) | ? [v4: nat] : ( ~ (v4 = v0) & nat_1(v1) = v4 &
% 276.20/45.81 | nat(v4))) & ! [v0: nat] : ! [v1: int] : ! [v2: bool] : ( ~
% 276.20/45.81 | (hAPP_nat_int(semiri1621563631at_int, v0) = v1) | ~
% 276.20/45.81 | (hAPP_int_bool(all_1899_0, v1) = v2) | ~ nat(v0) | ~ int(v1) |
% 276.20/45.81 | ~ hBOOL(v2) | nat_1(v1) = v0) & ! [v0: int] : ! [v1: bool] : !
% 276.20/45.81 | [v2: int] : ( ~ (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat)
% 276.20/45.81 | = v2) | ~ (hAPP_int_bool(all_1899_0, v0) = v1) | ~ int(v0) |
% 276.20/45.81 | nat_1(v0) = zero_zero_nat | hBOOL(v1)) & ! [v0: int] : ! [v1:
% 276.20/45.81 | bool] : ( ~ (hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) =
% 276.20/45.81 | v0) | ~ (hAPP_int_bool(all_1899_0, v0) = v1) | ~ int(v0) |
% 276.20/45.81 | nat_1(v0) = zero_zero_nat)
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1188) implies:
% 276.20/45.81 | (1189) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1899_0
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (195) with fresh symbols all_1902_0, all_1902_1 gives:
% 276.20/45.81 | (1190) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1902_1
% 276.20/45.81 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1902_0 &
% 276.20/45.81 | fun_int_bool(all_1902_0) & fun_int_bool(all_1902_1) & ! [v0: int] :
% 276.20/45.81 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 276.20/45.81 | int] : ! [v6: fun_int_bool] : ! [v7: bool] : ! [v8: bool] : !
% 276.20/45.81 | [v9: fun_int_bool] : ! [v10: bool] : ! [v11: fun_int_bool] : !
% 276.20/45.81 | [v12: bool] : ( ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v9)
% 276.20/45.81 | | ~ (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v11) | ~
% 276.20/45.81 | (hAPP_i1948725293t_bool(ord_less_int, v5) = v6) | ~
% 276.20/45.81 | (hAPP_int_bool(v11, v4) = v12) | ~ (hAPP_int_bool(v9, v0) = v10)
% 276.20/45.81 | | ~ (hAPP_int_bool(v6, v3) = v7) | ~ (hAPP_int_bool(all_1902_1,
% 276.20/45.81 | v2) = v8) | ~ int(v5) | ~ int(v4) | ~ int(v3) | ~ int(v2)
% 276.20/45.81 | | ~ int(v1) | ~ int(v0) | ~ hBOOL(v10) | ~ hBOOL(v8) | ~
% 276.20/45.81 | hBOOL(v7) | hBOOL(v12) | ? [v13: int] : ? [v14: int] : ? [v15:
% 276.20/45.81 | int] : ? [v16: int] : ? [v17: bool] : ? [v18: bool] :
% 276.20/45.81 | ((times_times_int(v3, v4) = v15 & plus_plus_int(v15, v5) = v16 &
% 276.20/45.81 | int(v16) & int(v15) & (( ~ (v16 = v14) & times_times_int(v0,
% 276.20/45.81 | v1) = v13 & plus_plus_int(v13, v2) = v14 & int(v14) &
% 276.20/45.81 | int(v13)) | (hAPP_int_bool(all_1902_1, v16) = v17 &
% 276.20/45.81 | bool(v17) & ~ hBOOL(v17)))) | (hAPP_int_bool(all_1902_0,
% 276.20/45.81 | v3) = v18 & bool(v18) & ~ hBOOL(v18))))
% 276.20/45.81 |
% 276.20/45.81 | ALPHA: (1190) implies:
% 276.20/45.81 | (1191) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1902_0
% 276.20/45.81 | (1192) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1902_1
% 276.20/45.81 |
% 276.20/45.81 | DELTA: instantiating (40) with fresh symbols all_1905_0, all_1905_1,
% 276.20/45.81 | all_1905_2, all_1905_3 gives:
% 276.20/45.81 | (1193) bit1(pls) = all_1905_2 & bit0(all_1905_2) = all_1905_1 &
% 276.20/45.81 | number_number_of_nat(all_1905_1) = all_1905_0 &
% 276.20/45.81 | hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1905_3 &
% 276.20/45.81 | fun_int_bool(all_1905_3) & nat(all_1905_0) & int(all_1905_1) &
% 276.20/45.81 | int(all_1905_2) & ! [v0: int] : ! [v1: int] : ! [v2: fun_nat_int]
% 276.20/45.81 | : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : ! [v6: int]
% 276.20/45.81 | : (v1 = zero_zero_int | ~ (power_power_int(v1) = v4) | ~
% 276.20/45.81 | (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v4, all_1905_0) =
% 276.20/45.81 | v5) | ~ (hAPP_nat_int(v2, all_1905_0) = v3) | ~
% 276.20/45.81 | (plus_plus_int(v3, v5) = v6) | ~ int(v1) | ~ int(v0) | ? [v7:
% 276.20/45.81 | bool] : (hAPP_int_bool(all_1905_3, v6) = v7 & bool(v7) &
% 276.20/45.81 | hBOOL(v7))) & ! [v0: int] : ! [v1: int] : ! [v2: fun_nat_int]
% 276.20/45.81 | : ! [v3: int] : ! [v4: fun_nat_int] : ! [v5: int] : ! [v6: int]
% 276.20/45.81 | : (v0 = zero_zero_int | ~ (power_power_int(v1) = v4) | ~
% 276.20/45.81 | (power_power_int(v0) = v2) | ~ (hAPP_nat_int(v4, all_1905_0) =
% 276.20/45.81 | v5) | ~ (hAPP_nat_int(v2, all_1905_0) = v3) | ~
% 276.20/45.81 | (plus_plus_int(v3, v5) = v6) | ~ int(v1) | ~ int(v0) | ? [v7:
% 276.20/45.81 | bool] : (hAPP_int_bool(all_1905_3, v6) = v7 & bool(v7) &
% 276.20/45.81 | hBOOL(v7))) & ! [v0: fun_nat_int] : ! [v1: int] : ! [v2: int]
% 276.20/45.81 | : ( ~ (power_power_int(zero_zero_int) = v0) | ~ (hAPP_nat_int(v0,
% 276.20/45.81 | all_1905_0) = v1) | ~ (plus_plus_int(v1, v1) = v2) | ? [v3:
% 276.20/45.81 | bool] : (hAPP_int_bool(all_1905_3, v2) = v3 & bool(v3) & ~
% 276.20/45.82 | hBOOL(v3)))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1193) implies:
% 276.20/45.82 | (1194) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1905_3
% 276.20/45.82 | (1195) number_number_of_nat(all_1905_1) = all_1905_0
% 276.20/45.82 | (1196) bit0(all_1905_2) = all_1905_1
% 276.20/45.82 | (1197) bit1(pls) = all_1905_2
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (41) with fresh symbols all_1908_0, all_1908_1,
% 276.20/45.82 | all_1908_2, all_1908_3 gives:
% 276.20/45.82 | (1198) hAPP_r1134773055l_bool(ord_less_real, zero_zero_real) = all_1908_3 &
% 276.20/45.82 | bit1(pls) = all_1908_2 & bit0(all_1908_2) = all_1908_1 &
% 276.20/45.82 | number_number_of_nat(all_1908_1) = all_1908_0 &
% 276.20/45.82 | fun_real_bool(all_1908_3) & nat(all_1908_0) & int(all_1908_1) &
% 276.20/45.82 | int(all_1908_2) & ! [v0: real] : ! [v1: real] : ! [v2:
% 276.20/45.82 | fun_nat_real] : ! [v3: real] : ! [v4: fun_nat_real] : ! [v5:
% 276.20/45.82 | real] : ! [v6: real] : (v1 = zero_zero_real | ~
% 276.20/45.82 | (power_power_real(v1) = v4) | ~ (power_power_real(v0) = v2) | ~
% 276.20/45.82 | (hAPP_nat_real(v4, all_1908_0) = v5) | ~ (hAPP_nat_real(v2,
% 276.20/45.82 | all_1908_0) = v3) | ~ (plus_plus_real(v3, v5) = v6) | ~
% 276.20/45.82 | real(v1) | ~ real(v0) | ? [v7: bool] :
% 276.20/45.82 | (hAPP_real_bool(all_1908_3, v6) = v7 & bool(v7) & hBOOL(v7))) & !
% 276.20/45.82 | [v0: real] : ! [v1: real] : ! [v2: fun_nat_real] : ! [v3: real] :
% 276.20/45.82 | ! [v4: fun_nat_real] : ! [v5: real] : ! [v6: real] : (v0 =
% 276.20/45.82 | zero_zero_real | ~ (power_power_real(v1) = v4) | ~
% 276.20/45.82 | (power_power_real(v0) = v2) | ~ (hAPP_nat_real(v4, all_1908_0) =
% 276.20/45.82 | v5) | ~ (hAPP_nat_real(v2, all_1908_0) = v3) | ~
% 276.20/45.82 | (plus_plus_real(v3, v5) = v6) | ~ real(v1) | ~ real(v0) | ?
% 276.20/45.82 | [v7: bool] : (hAPP_real_bool(all_1908_3, v6) = v7 & bool(v7) &
% 276.20/45.82 | hBOOL(v7))) & ! [v0: fun_nat_real] : ! [v1: real] : ! [v2:
% 276.20/45.82 | real] : ( ~ (power_power_real(zero_zero_real) = v0) | ~
% 276.20/45.82 | (hAPP_nat_real(v0, all_1908_0) = v1) | ~ (plus_plus_real(v1, v1)
% 276.20/45.82 | = v2) | ? [v3: bool] : (hAPP_real_bool(all_1908_3, v2) = v3 &
% 276.20/45.82 | bool(v3) & ~ hBOOL(v3)))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1198) implies:
% 276.20/45.82 | (1199) number_number_of_nat(all_1908_1) = all_1908_0
% 276.20/45.82 | (1200) bit0(all_1908_2) = all_1908_1
% 276.20/45.82 | (1201) bit1(pls) = all_1908_2
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (194) with fresh symbols all_1914_0, all_1914_1 gives:
% 276.20/45.82 | (1202) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1914_1
% 276.20/45.82 | & hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1914_0 &
% 276.20/45.82 | fun_int_bool(all_1914_0) & fun_int_bool(all_1914_1) & ! [v0: int] :
% 276.20/45.82 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5:
% 276.20/45.82 | int] : ! [v6: fun_int_bool] : ! [v7: bool] : ! [v8: bool] : !
% 276.20/45.82 | [v9: bool] : ! [v10: fun_int_bool] : ! [v11: bool] : ( ~
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v10) | ~
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_int, v2) = v6) | ~
% 276.20/45.82 | (hAPP_int_bool(v10, v1) = v11) | ~ (hAPP_int_bool(v6, v0) = v7) |
% 276.20/45.82 | ~ (hAPP_int_bool(all_1914_0, v3) = v9) | ~
% 276.20/45.82 | (hAPP_int_bool(all_1914_1, v5) = v8) | ~ int(v5) | ~ int(v4) |
% 276.20/45.82 | ~ int(v3) | ~ int(v2) | ~ int(v1) | ~ int(v0) | ~ hBOOL(v9) |
% 276.20/45.82 | ~ hBOOL(v8) | ~ hBOOL(v7) | hBOOL(v11) | ? [v12: int] : ? [v13:
% 276.20/45.82 | int] : ? [v14: int] : ? [v15: int] : ? [v16: fun_int_bool] :
% 276.20/45.82 | ? [v17: bool] : ? [v18: fun_int_bool] : ? [v19: bool] :
% 276.20/45.82 | ((times_times_int(v3, v4) = v14 & plus_plus_int(v14, v5) = v15 &
% 276.20/45.82 | int(v15) & int(v14) & (( ~ (v15 = v13) & times_times_int(v0,
% 276.20/45.82 | v1) = v12 & plus_plus_int(v12, v2) = v13 & int(v13) &
% 276.20/45.82 | int(v12)) | (hAPP_i1948725293t_bool(ord_less_int, v15) =
% 276.20/45.82 | v16 & hAPP_int_bool(v16, zero_zero_int) = v17 &
% 276.20/45.82 | fun_int_bool(v16) & bool(v17) & ~ hBOOL(v17)))) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v3) = v18 &
% 276.20/45.82 | hAPP_int_bool(v18, v0) = v19 & fun_int_bool(v18) & bool(v19) &
% 276.20/45.82 | ~ hBOOL(v19))))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1202) implies:
% 276.20/45.82 | (1203) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1914_0
% 276.20/45.82 | (1204) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1914_1
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (231) with fresh symbol all_1917_0 gives:
% 276.20/45.82 | (1205) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1917_0
% 276.20/45.82 | & fun_int_bool(all_1917_0) & ! [v0: int] : ! [v1: nat] : ! [v2:
% 276.20/45.82 | fun_int_bool] : ! [v3: int] : ! [v4: bool] : ( ~
% 276.20/45.82 | (hAPP_i1948725293t_bool(dvd_dvd_int, v0) = v2) | ~
% 276.20/45.82 | (hAPP_nat_int(semiri1621563631at_int, v1) = v3) | ~
% 276.20/45.82 | (hAPP_int_bool(v2, v3) = v4) | ~ nat(v1) | ~ int(v0) | ? [v5:
% 276.20/45.82 | bool] : ? [v6: nat] : ? [v7: fun_nat_bool] : ? [v8: bool] :
% 276.20/45.82 | ((nat_1(v0) = v6 & hAPP_n1699378549t_bool(dvd_dvd_nat, v6) = v7 &
% 276.20/45.82 | hAPP_nat_bool(v7, v1) = v8 & fun_nat_bool(v7) & nat(v6) &
% 276.20/45.82 | bool(v8) & hBOOL(v8)) | (hAPP_int_bool(all_1917_0, v0) = v5 &
% 276.20/45.82 | bool(v5) & (( ~ (v1 = zero_zero_nat) & ~ hBOOL(v5)) |
% 276.20/45.82 | (hBOOL(v5) & ~ hBOOL(v4)))))) & ! [v0: int] : ! [v1: nat]
% 276.20/45.82 | : ! [v2: fun_int_bool] : ! [v3: int] : ! [v4: bool] : ( ~
% 276.20/45.82 | (hAPP_i1948725293t_bool(dvd_dvd_int, v0) = v2) | ~
% 276.20/45.82 | (hAPP_nat_int(semiri1621563631at_int, v1) = v3) | ~
% 276.20/45.82 | (hAPP_int_bool(v2, v3) = v4) | ~ nat(v1) | ~ int(v0) | ? [v5:
% 276.20/45.82 | nat] : ? [v6: fun_nat_bool] : ? [v7: bool] : ? [v8: bool] :
% 276.20/45.82 | ((nat_1(v0) = v5 & hAPP_n1699378549t_bool(dvd_dvd_nat, v5) = v6 &
% 276.20/45.82 | hAPP_nat_bool(v6, v1) = v7 & fun_nat_bool(v6) & nat(v5) &
% 276.20/45.82 | bool(v7) & ~ hBOOL(v7)) | ((v1 = zero_zero_nat |
% 276.20/45.82 | (hAPP_int_bool(all_1917_0, v0) = v8 & bool(v8) & hBOOL(v8)))
% 276.20/45.82 | & (hBOOL(v4) | (hAPP_int_bool(all_1917_0, v0) = v8 & bool(v8)
% 276.20/45.82 | & ~ hBOOL(v8))))))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1205) implies:
% 276.20/45.82 | (1206) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1917_0
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (238) with fresh symbols all_1920_0, all_1920_1,
% 276.20/45.82 | all_1920_2, all_1920_3, all_1920_4, all_1920_5, all_1920_6, all_1920_7,
% 276.20/45.82 | all_1920_8, all_1920_9, all_1920_10, all_1920_11, all_1920_12 gives:
% 276.20/45.82 | (1207) zcong(s1, all_1920_5) = all_1920_1 & times_times_int(all_1920_8, m)
% 276.20/45.82 | = all_1920_7 & number_number_of_int(all_1920_9) = all_1920_8 &
% 276.20/45.82 | bit1(pls) = all_1920_11 & bit0(all_1920_10) = all_1920_9 &
% 276.20/45.82 | bit0(all_1920_11) = all_1920_10 &
% 276.20/45.82 | hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1920_12
% 276.20/45.82 | & hAPP_i1948725293t_bool(ord_less_int, all_1920_5) = all_1920_3 &
% 276.20/45.82 | plus_plus_int(all_1920_7, one_one_int) = all_1920_6 &
% 276.20/45.82 | hAPP_int_bool(all_1920_1, all_1920_6) = all_1920_0 &
% 276.20/45.82 | hAPP_int_bool(all_1920_3, all_1920_6) = all_1920_2 &
% 276.20/45.82 | hAPP_int_bool(all_1920_12, all_1920_5) = all_1920_4 &
% 276.20/45.82 | fun_int_bool(all_1920_1) & fun_int_bool(all_1920_3) &
% 276.20/45.82 | fun_int_bool(all_1920_12) & int(all_1920_5) & int(all_1920_6) &
% 276.20/45.82 | int(all_1920_7) & int(all_1920_8) & int(all_1920_9) &
% 276.20/45.82 | int(all_1920_10) & int(all_1920_11) & bool(all_1920_0) &
% 276.20/45.82 | bool(all_1920_2) & bool(all_1920_4) & hBOOL(all_1920_0) &
% 276.20/45.82 | hBOOL(all_1920_2) & hBOOL(all_1920_4) & ! [v0: any] : ! [v1: bool]
% 276.20/45.82 | : (v0 = all_1920_5 | ~ (hAPP_int_bool(all_1920_12, v0) = v1) | ~
% 276.20/45.82 | int(v0) | ~ hBOOL(v1) | ? [v2: fun_int_bool] : ? [v3: bool] :
% 276.20/45.82 | ? [v4: fun_int_bool] : ? [v5: bool] : ((zcong(s1, v0) = v4 &
% 276.20/45.82 | hAPP_int_bool(v4, all_1920_6) = v5 & fun_int_bool(v4) &
% 276.20/45.82 | bool(v5) & ~ hBOOL(v5)) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v2 &
% 276.20/45.82 | hAPP_int_bool(v2, all_1920_6) = v3 & fun_int_bool(v2) &
% 276.20/45.82 | bool(v3) & ~ hBOOL(v3))))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1207) implies:
% 276.20/45.82 | (1208) hBOOL(all_1920_2)
% 276.20/45.82 | (1209) int(all_1920_5)
% 276.20/45.82 | (1210) hAPP_int_bool(all_1920_3, all_1920_6) = all_1920_2
% 276.20/45.82 | (1211) plus_plus_int(all_1920_7, one_one_int) = all_1920_6
% 276.20/45.82 | (1212) hAPP_i1948725293t_bool(ord_less_int, all_1920_5) = all_1920_3
% 276.20/45.82 | (1213) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1920_12
% 276.20/45.82 | (1214) bit0(all_1920_11) = all_1920_10
% 276.20/45.82 | (1215) bit0(all_1920_10) = all_1920_9
% 276.20/45.82 | (1216) bit1(pls) = all_1920_11
% 276.20/45.82 | (1217) number_number_of_int(all_1920_9) = all_1920_8
% 276.20/45.82 | (1218) times_times_int(all_1920_8, m) = all_1920_7
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (250) with fresh symbols all_1923_0, all_1923_1 gives:
% 276.20/45.82 | (1219) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1923_0
% 276.20/45.82 | & hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1923_1 &
% 276.20/45.82 | fun_int_bool(all_1923_0) & fun_int_bool(all_1923_1) & ! [v0: int] :
% 276.20/45.82 | ! [v1: bool] : ! [v2: int] : ! [v3: bool] : (v2 = v0 | v2 =
% 276.20/45.82 | one_one_int | ~ (hAPP_int_bool(all_1923_0, v2) = v3) | ~
% 276.20/45.82 | (hAPP_int_bool(all_1923_1, v0) = v1) | ~ int(v2) | ~ int(v0) |
% 276.20/45.82 | ~ hBOOL(v3) | ? [v4: any] : ? [v5: bool] :
% 276.20/45.82 | ((hAPP_i1948725293t_bool(dvd_dvd_int, v2) = v4 & hAPP_int_bool(v4,
% 276.20/45.82 | v0) = v5 & fun_int_bool(v4) & bool(v5) & ~ hBOOL(v5)) |
% 276.20/45.82 | (hAPP_int_bool(zprime, v0) = v4 & bool(v4) & ~ hBOOL(v4)))) &
% 276.20/45.82 | ! [v0: int] : ! [v1: bool] : ( ~ (hAPP_int_bool(all_1923_1, v0) =
% 276.20/45.82 | v1) | ~ int(v0) | ~ hBOOL(v1) | ? [v2: bool] : ? [v3: int] :
% 276.20/45.82 | ? [v4: bool] : ? [v5: fun_int_bool] : ? [v6: bool] : (int(v3) &
% 276.20/45.82 | (( ~ (v3 = v0) & ~ (v3 = one_one_int) &
% 276.20/45.82 | hAPP_i1948725293t_bool(dvd_dvd_int, v3) = v5 &
% 276.20/45.82 | hAPP_int_bool(v5, v0) = v6 & hAPP_int_bool(all_1923_0, v3) =
% 276.20/45.82 | v4 & fun_int_bool(v5) & bool(v6) & bool(v4) & hBOOL(v6) &
% 276.20/45.82 | hBOOL(v4)) | (hAPP_int_bool(zprime, v0) = v2 & bool(v2) &
% 276.20/45.82 | hBOOL(v2))))) & ! [v0: int] : ! [v1: bool] : ( ~
% 276.20/45.82 | (hAPP_int_bool(all_1923_1, v0) = v1) | ~ int(v0) | hBOOL(v1) | ?
% 276.20/45.82 | [v2: bool] : (hAPP_int_bool(zprime, v0) = v2 & bool(v2) & ~
% 276.20/45.82 | hBOOL(v2)))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1219) implies:
% 276.20/45.82 | (1220) hAPP_i1948725293t_bool(ord_less_int, one_one_int) = all_1923_1
% 276.20/45.82 | (1221) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1923_0
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (94) with fresh symbol all_1929_0 gives:
% 276.20/45.82 | (1222) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1929_0
% 276.20/45.82 | & fun_int_bool(all_1929_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.82 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1929_0, v1) = v3) |
% 276.20/45.82 | ~ (hAPP_int_bool(all_1929_0, v0) = v2) | ~ int(v1) | ~ int(v0)
% 276.20/45.82 | | ? [v4: fun_int_bool] : ? [v5: bool] : ? [v6: fun_int_bool] :
% 276.20/45.82 | ? [v7: bool] : ? [v8: int] : ? [v9: fun_int_bool] : ? [v10:
% 276.20/45.82 | bool] : ((times_times_int(v0, v1) = v8 &
% 276.20/45.82 | hAPP_i1948725293t_bool(ord_less_eq_int, v8) = v9 &
% 276.20/45.82 | hAPP_int_bool(v9, zero_zero_int) = v10 & fun_int_bool(v9) &
% 276.20/45.82 | int(v8) & bool(v10) & hBOOL(v10)) | (( ~ hBOOL(v3) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v6 &
% 276.20/45.82 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 276.20/45.82 | bool(v7) & ~ hBOOL(v7))) & ( ~ hBOOL(v2) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v4 &
% 276.20/45.82 | hAPP_int_bool(v4, zero_zero_int) = v5 & fun_int_bool(v4) &
% 276.20/45.82 | bool(v5) & ~ hBOOL(v5)))))) & ! [v0: int] : ! [v1: int]
% 276.20/45.82 | : ! [v2: bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1929_0, v1)
% 276.20/45.82 | = v3) | ~ (hAPP_int_bool(all_1929_0, v0) = v2) | ~ int(v1) |
% 276.20/45.82 | ~ int(v0) | ? [v4: int] : ? [v5: fun_int_bool] : ? [v6: bool] :
% 276.20/45.82 | ? [v7: fun_int_bool] : ? [v8: bool] : ? [v9: fun_int_bool] : ?
% 276.20/45.82 | [v10: bool] : ((times_times_int(v0, v1) = v4 &
% 276.20/45.82 | hAPP_i1948725293t_bool(ord_less_eq_int, v4) = v5 &
% 276.20/45.82 | hAPP_int_bool(v5, zero_zero_int) = v6 & fun_int_bool(v5) &
% 276.20/45.82 | int(v4) & bool(v6) & ~ hBOOL(v6)) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v7 &
% 276.20/45.82 | hAPP_int_bool(v7, zero_zero_int) = v8 & fun_int_bool(v7) &
% 276.20/45.82 | bool(v8) & hBOOL(v8) & hBOOL(v2)) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v9 &
% 276.20/45.82 | hAPP_int_bool(v9, zero_zero_int) = v10 & fun_int_bool(v9) &
% 276.20/45.82 | bool(v10) & hBOOL(v10) & hBOOL(v3))))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1222) implies:
% 276.20/45.82 | (1223) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1929_0
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (138) with fresh symbol all_1932_0 gives:
% 276.20/45.82 | (1224) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1932_0 &
% 276.20/45.82 | fun_int_bool(all_1932_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.82 | int] : ! [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : !
% 276.20/45.82 | [v6: bool] : ( ~ (times_times_int(v2, v1) = v5) | ~
% 276.20/45.82 | (times_times_int(v0, v1) = v3) | ~
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~
% 276.20/45.82 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~
% 276.20/45.82 | int(v0) | ~ hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] :
% 276.20/45.82 | ? [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 276.20/45.82 | fun_int_bool] : ? [v13: bool] :
% 276.20/45.82 | ((hAPP_i1948725293t_bool(ord_less_int, v2) = v12 &
% 276.20/45.82 | hAPP_i1948725293t_bool(ord_less_int, v1) = v10 &
% 276.20/45.82 | hAPP_int_bool(v12, v0) = v13 & hAPP_int_bool(v10,
% 276.20/45.82 | zero_zero_int) = v11 & fun_int_bool(v12) & fun_int_bool(v10)
% 276.20/45.82 | & bool(v13) & bool(v11) & hBOOL(v13) & hBOOL(v11)) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_int, v0) = v8 &
% 276.20/45.82 | hAPP_int_bool(v8, v2) = v9 & hAPP_int_bool(all_1932_0, v1) =
% 276.20/45.82 | v7 & fun_int_bool(v8) & bool(v9) & bool(v7) & hBOOL(v9) &
% 276.20/45.82 | hBOOL(v7)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 276.20/45.82 | [v3: int] : ! [v4: fun_int_bool] : ! [v5: int] : ! [v6: bool] : (
% 276.20/45.82 | ~ (times_times_int(v2, v1) = v5) | ~ (times_times_int(v0, v1) =
% 276.20/45.82 | v3) | ~ (hAPP_i1948725293t_bool(ord_less_int, v3) = v4) | ~
% 276.20/45.82 | (hAPP_int_bool(v4, v5) = v6) | ~ int(v2) | ~ int(v1) | ~
% 276.20/45.82 | int(v0) | hBOOL(v6) | ? [v7: bool] : ? [v8: fun_int_bool] : ?
% 276.20/45.82 | [v9: bool] : ? [v10: fun_int_bool] : ? [v11: bool] : ? [v12:
% 276.20/45.82 | fun_int_bool] : ? [v13: bool] :
% 276.20/45.82 | (((hAPP_i1948725293t_bool(ord_less_int, v2) = v12 &
% 276.20/45.82 | hAPP_int_bool(v12, v0) = v13 & fun_int_bool(v12) & bool(v13)
% 276.20/45.82 | & ~ hBOOL(v13)) | (hAPP_i1948725293t_bool(ord_less_int, v1)
% 276.20/45.82 | = v10 & hAPP_int_bool(v10, zero_zero_int) = v11 &
% 276.20/45.82 | fun_int_bool(v10) & bool(v11) & ~ hBOOL(v11))) &
% 276.20/45.82 | ((hAPP_i1948725293t_bool(ord_less_int, v0) = v8 &
% 276.20/45.82 | hAPP_int_bool(v8, v2) = v9 & fun_int_bool(v8) & bool(v9) &
% 276.20/45.82 | ~ hBOOL(v9)) | (hAPP_int_bool(all_1932_0, v1) = v7 &
% 276.20/45.82 | bool(v7) & ~ hBOOL(v7)))))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1224) implies:
% 276.20/45.82 | (1225) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1932_0
% 276.20/45.82 |
% 276.20/45.82 | DELTA: instantiating (95) with fresh symbol all_1938_0 gives:
% 276.20/45.82 | (1226) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1938_0
% 276.20/45.82 | & fun_int_bool(all_1938_0) & ! [v0: int] : ! [v1: int] : ! [v2:
% 276.20/45.82 | bool] : ! [v3: bool] : ( ~ (hAPP_int_bool(all_1938_0, v1) = v3) |
% 276.20/45.82 | ~ (hAPP_int_bool(all_1938_0, v0) = v2) | ~ int(v1) | ~ int(v0)
% 276.20/45.82 | | hBOOL(v3) | ? [v4: int] : ? [v5: bool] : ? [v6: fun_int_bool]
% 276.20/45.82 | : ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 276.20/45.82 | ((times_times_int(v0, v1) = v4 & hAPP_int_bool(all_1938_0, v4) =
% 276.20/45.82 | v5 & int(v4) & bool(v5) & ~ hBOOL(v5)) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 &
% 276.20/45.82 | hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v6 &
% 276.20/45.82 | hAPP_int_bool(v8, zero_zero_int) = v9 & hAPP_int_bool(v6,
% 276.20/45.82 | zero_zero_int) = v7 & fun_int_bool(v8) & fun_int_bool(v6) &
% 276.20/45.82 | bool(v9) & bool(v7) & hBOOL(v9) & hBOOL(v7)))) & ! [v0: int]
% 276.20/45.82 | : ! [v1: int] : ! [v2: bool] : ! [v3: bool] : ( ~
% 276.20/45.82 | (hAPP_int_bool(all_1938_0, v1) = v3) | ~
% 276.20/45.82 | (hAPP_int_bool(all_1938_0, v0) = v2) | ~ int(v1) | ~ int(v0) |
% 276.20/45.82 | hBOOL(v2) | ? [v4: int] : ? [v5: bool] : ? [v6: fun_int_bool] :
% 276.20/45.82 | ? [v7: bool] : ? [v8: fun_int_bool] : ? [v9: bool] :
% 276.20/45.82 | ((times_times_int(v0, v1) = v4 & hAPP_int_bool(all_1938_0, v4) =
% 276.20/45.82 | v5 & int(v4) & bool(v5) & ~ hBOOL(v5)) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v8 &
% 276.20/45.82 | hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v6 &
% 276.20/45.82 | hAPP_int_bool(v8, zero_zero_int) = v9 & hAPP_int_bool(v6,
% 276.20/45.82 | zero_zero_int) = v7 & fun_int_bool(v8) & fun_int_bool(v6) &
% 276.20/45.82 | bool(v9) & bool(v7) & hBOOL(v9) & hBOOL(v7)))) & ! [v0: int]
% 276.20/45.82 | : ! [v1: int] : ! [v2: bool] : ! [v3: bool] : ( ~
% 276.20/45.82 | (hAPP_int_bool(all_1938_0, v1) = v3) | ~
% 276.20/45.82 | (hAPP_int_bool(all_1938_0, v0) = v2) | ~ int(v1) | ~ int(v0) |
% 276.20/45.82 | ? [v4: fun_int_bool] : ? [v5: bool] : ? [v6: fun_int_bool] : ?
% 276.20/45.82 | [v7: bool] : ? [v8: int] : ? [v9: bool] : ((times_times_int(v0,
% 276.20/45.82 | v1) = v8 & hAPP_int_bool(all_1938_0, v8) = v9 & int(v8) &
% 276.20/45.82 | bool(v9) & hBOOL(v9)) | (( ~ hBOOL(v3) | ~ hBOOL(v2)) &
% 276.20/45.82 | ((hAPP_i1948725293t_bool(ord_less_eq_int, v1) = v6 &
% 276.20/45.82 | hAPP_int_bool(v6, zero_zero_int) = v7 & fun_int_bool(v6) &
% 276.20/45.82 | bool(v7) & ~ hBOOL(v7)) |
% 276.20/45.82 | (hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v4 &
% 276.20/45.82 | hAPP_int_bool(v4, zero_zero_int) = v5 & fun_int_bool(v4) &
% 276.20/45.82 | bool(v5) & ~ hBOOL(v5))))))
% 276.20/45.82 |
% 276.20/45.82 | ALPHA: (1226) implies:
% 276.20/45.82 | (1227) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1938_0
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (386) imply:
% 276.20/45.82 | (1228) number_number_of_int(zero_zero_int) = all_863_1
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (357) imply:
% 276.20/45.82 | (1229) number_number_of_int(zero_zero_int) = all_817_0
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (321) imply:
% 276.20/45.82 | (1230) number_number_of_int(zero_zero_int) = all_787_1
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (318) imply:
% 276.20/45.82 | (1231) number_number_of_int(zero_zero_int) = all_779_0
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (31) imply:
% 276.20/45.82 | (1232) number_number_of_int(zero_zero_int) = zero_zero_int
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (1216) imply:
% 276.20/45.82 | (1233) bit1(zero_zero_int) = all_1920_11
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (1201) imply:
% 276.20/45.82 | (1234) bit1(zero_zero_int) = all_1908_2
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (1197) imply:
% 276.20/45.82 | (1235) bit1(zero_zero_int) = all_1905_2
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (1185) imply:
% 276.20/45.82 | (1236) bit1(zero_zero_int) = all_1878_5
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (1181) imply:
% 276.20/45.82 | (1237) bit1(zero_zero_int) = all_1872_5
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (1173) imply:
% 276.20/45.82 | (1238) bit1(zero_zero_int) = all_1863_2
% 276.20/45.82 |
% 276.20/45.82 | REDUCE: (30), (1161) imply:
% 276.20/45.83 | (1239) bit1(zero_zero_int) = all_1846_15
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1153) imply:
% 276.20/45.83 | (1240) bit1(zero_zero_int) = all_1843_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1147) imply:
% 276.20/45.83 | (1241) bit1(zero_zero_int) = all_1835_12
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1117) imply:
% 276.20/45.83 | (1242) bit1(zero_zero_int) = all_1802_11
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1096) imply:
% 276.20/45.83 | (1243) bit1(zero_zero_int) = all_1779_12
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1088) imply:
% 276.20/45.83 | (1244) bit1(zero_zero_int) = all_1774_11
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1080) imply:
% 276.20/45.83 | (1245) bit1(zero_zero_int) = all_1772_8
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1061) imply:
% 276.20/45.83 | (1246) bit1(zero_zero_int) = all_1746_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1056) imply:
% 276.20/45.83 | (1247) bit1(zero_zero_int) = all_1744_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1052) imply:
% 276.20/45.83 | (1248) bit1(zero_zero_int) = all_1741_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1050) imply:
% 276.20/45.83 | (1249) bit1(zero_zero_int) = all_1738_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1045) imply:
% 276.20/45.83 | (1250) bit1(zero_zero_int) = all_1736_12
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1039) imply:
% 276.20/45.83 | (1251) bit1(zero_zero_int) = all_1733_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1031) imply:
% 276.20/45.83 | (1252) bit1(zero_zero_int) = all_1721_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1027) imply:
% 276.20/45.83 | (1253) bit1(zero_zero_int) = all_1718_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1023) imply:
% 276.20/45.83 | (1254) bit1(zero_zero_int) = all_1715_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1019) imply:
% 276.20/45.83 | (1255) bit1(zero_zero_int) = all_1713_8
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (1007) imply:
% 276.20/45.83 | (1256) bit1(zero_zero_int) = all_1708_8
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (980) imply:
% 276.20/45.83 | (1257) bit1(zero_zero_int) = all_1664_11
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (971) imply:
% 276.20/45.83 | (1258) bit1(zero_zero_int) = all_1662_10
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (962) imply:
% 276.20/45.83 | (1259) bit1(zero_zero_int) = all_1660_10
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (954) imply:
% 276.20/45.83 | (1260) bit1(zero_zero_int) = all_1645_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (949) imply:
% 276.20/45.83 | (1261) bit1(zero_zero_int) = all_1643_9
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (935) imply:
% 276.20/45.83 | (1262) bit1(zero_zero_int) = all_1616_5
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (931) imply:
% 276.20/45.83 | (1263) bit1(zero_zero_int) = all_1613_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (926) imply:
% 276.20/45.83 | (1264) bit1(zero_zero_int) = all_1610_7
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (922) imply:
% 276.20/45.83 | (1265) bit1(zero_zero_int) = all_1604_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (915) imply:
% 276.20/45.83 | (1266) bit1(zero_zero_int) = all_1593_9
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (910) imply:
% 276.20/45.83 | (1267) bit1(zero_zero_int) = all_1587_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (906) imply:
% 276.20/45.83 | (1268) bit1(zero_zero_int) = all_1581_5
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (893) imply:
% 276.20/45.83 | (1269) bit1(zero_zero_int) = all_1566_4
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (888) imply:
% 276.20/45.83 | (1270) bit1(zero_zero_int) = all_1560_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (883) imply:
% 276.20/45.83 | (1271) bit1(zero_zero_int) = all_1554_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (879) imply:
% 276.20/45.83 | (1272) bit1(zero_zero_int) = all_1552_9
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (873) imply:
% 276.20/45.83 | (1273) bit1(zero_zero_int) = all_1549_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (869) imply:
% 276.20/45.83 | (1274) bit1(zero_zero_int) = all_1546_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (865) imply:
% 276.20/45.83 | (1275) bit1(zero_zero_int) = all_1543_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (863) imply:
% 276.20/45.83 | (1276) bit1(zero_zero_int) = all_1540_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (856) imply:
% 276.20/45.83 | (1277) bit1(zero_zero_int) = all_1538_9
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (851) imply:
% 276.20/45.83 | (1278) bit1(zero_zero_int) = all_1535_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (834) imply:
% 276.20/45.83 | (1279) bit1(zero_zero_int) = all_1515_9
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (824) imply:
% 276.20/45.83 | (1280) bit1(zero_zero_int) = all_1510_8
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (812) imply:
% 276.20/45.83 | (1281) bit1(zero_zero_int) = all_1498_4
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (788) imply:
% 276.20/45.83 | (1282) bit1(zero_zero_int) = all_1465_4
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (777) imply:
% 276.20/45.83 | (1283) bit1(zero_zero_int) = all_1450_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (771) imply:
% 276.20/45.83 | (1284) bit1(zero_zero_int) = all_1438_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (763) imply:
% 276.20/45.83 | (1285) bit1(zero_zero_int) = all_1429_4
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (757) imply:
% 276.20/45.83 | (1286) bit1(zero_zero_int) = all_1414_4
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (747) imply:
% 276.20/45.83 | (1287) bit1(zero_zero_int) = all_1388_8
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (740) imply:
% 276.20/45.83 | (1288) bit1(zero_zero_int) = all_1376_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (736) imply:
% 276.20/45.83 | (1289) bit1(zero_zero_int) = all_1370_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (722) imply:
% 276.20/45.83 | (1290) bit1(zero_zero_int) = all_1337_5
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (707) imply:
% 276.20/45.83 | (1291) bit1(zero_zero_int) = all_1274_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (690) imply:
% 276.20/45.83 | (1292) bit1(zero_zero_int) = all_1250_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (676) imply:
% 276.20/45.83 | (1293) bit1(zero_zero_int) = all_1209_7
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (669) imply:
% 276.20/45.83 | (1294) bit1(zero_zero_int) = all_1194_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (659) imply:
% 276.20/45.83 | (1295) bit1(zero_zero_int) = all_1179_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (653) imply:
% 276.20/45.83 | (1296) bit1(zero_zero_int) = all_1174_6
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (643) imply:
% 276.20/45.83 | (1297) bit1(zero_zero_int) = all_1172_6
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (619) imply:
% 276.20/45.83 | (1298) bit1(zero_zero_int) = all_1142_4
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (608) imply:
% 276.20/45.83 | (1299) bit1(zero_zero_int) = all_1125_5
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (598) imply:
% 276.20/45.83 | (1300) bit1(zero_zero_int) = all_1113_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (587) imply:
% 276.20/45.83 | (1301) bit1(zero_zero_int) = all_1105_5
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (575) imply:
% 276.20/45.83 | (1302) bit1(zero_zero_int) = all_1091_6
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (570) imply:
% 276.20/45.83 | (1303) bit1(zero_zero_int) = all_1088_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (566) imply:
% 276.20/45.83 | (1304) bit1(zero_zero_int) = all_1085_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (562) imply:
% 276.20/45.83 | (1305) bit1(zero_zero_int) = all_1079_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (556) imply:
% 276.20/45.83 | (1306) bit1(zero_zero_int) = all_1070_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (552) imply:
% 276.20/45.83 | (1307) bit1(zero_zero_int) = all_1067_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (548) imply:
% 276.20/45.83 | (1308) bit1(zero_zero_int) = all_1061_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (544) imply:
% 276.20/45.83 | (1309) bit1(zero_zero_int) = all_1058_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (537) imply:
% 276.20/45.83 | (1310) bit1(zero_zero_int) = all_1032_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (514) imply:
% 276.20/45.83 | (1311) bit1(zero_zero_int) = all_987_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (508) imply:
% 276.20/45.83 | (1312) bit1(zero_zero_int) = all_982_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (504) imply:
% 276.20/45.83 | (1313) bit1(zero_zero_int) = all_980_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (500) imply:
% 276.20/45.83 | (1314) bit1(zero_zero_int) = all_978_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (496) imply:
% 276.20/45.83 | (1315) bit1(zero_zero_int) = all_969_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (490) imply:
% 276.20/45.83 | (1316) bit1(zero_zero_int) = all_963_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (481) imply:
% 276.20/45.83 | (1317) bit1(zero_zero_int) = all_955_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (464) imply:
% 276.20/45.83 | (1318) bit1(zero_zero_int) = all_946_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (461) imply:
% 276.20/45.83 | (1319) bit1(zero_zero_int) = all_944_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (456) imply:
% 276.20/45.83 | (1320) bit1(zero_zero_int) = all_942_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (452) imply:
% 276.20/45.83 | (1321) bit1(zero_zero_int) = all_939_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (450) imply:
% 276.20/45.83 | (1322) bit1(zero_zero_int) = all_936_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (448) imply:
% 276.20/45.83 | (1323) bit1(zero_zero_int) = all_933_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (446) imply:
% 276.20/45.83 | (1324) bit1(zero_zero_int) = all_930_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (443) imply:
% 276.20/45.83 | (1325) bit1(zero_zero_int) = all_926_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (440) imply:
% 276.20/45.83 | (1326) bit1(zero_zero_int) = all_924_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (436) imply:
% 276.20/45.83 | (1327) bit1(zero_zero_int) = all_922_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (432) imply:
% 276.20/45.83 | (1328) bit1(zero_zero_int) = all_914_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (428) imply:
% 276.20/45.83 | (1329) bit1(zero_zero_int) = all_912_3
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (426) imply:
% 276.20/45.83 | (1330) bit1(zero_zero_int) = all_907_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (422) imply:
% 276.20/45.83 | (1331) bit1(zero_zero_int) = all_905_2
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (412) imply:
% 276.20/45.83 | (1332) bit1(zero_zero_int) = all_885_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (409) imply:
% 276.20/45.83 | (1333) bit1(zero_zero_int) = all_883_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (406) imply:
% 276.20/45.83 | (1334) bit1(zero_zero_int) = all_881_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (398) imply:
% 276.20/45.83 | (1335) bit1(zero_zero_int) = all_873_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (391) imply:
% 276.20/45.83 | (1336) bit1(zero_zero_int) = all_865_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (382) imply:
% 276.20/45.83 | (1337) bit1(zero_zero_int) = all_861_1
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (312) imply:
% 276.20/45.83 | (1338) bit1(zero_zero_int) = all_770_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (310) imply:
% 276.20/45.83 | (1339) bit1(zero_zero_int) = all_768_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (308) imply:
% 276.20/45.83 | (1340) bit1(zero_zero_int) = all_766_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (306) imply:
% 276.20/45.83 | (1341) bit1(zero_zero_int) = all_762_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (304) imply:
% 276.20/45.83 | (1342) bit1(zero_zero_int) = all_760_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (302) imply:
% 276.20/45.83 | (1343) bit1(zero_zero_int) = all_758_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (300) imply:
% 276.20/45.83 | (1344) bit1(zero_zero_int) = all_756_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (298) imply:
% 276.20/45.83 | (1345) bit1(zero_zero_int) = all_754_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (296) imply:
% 276.20/45.83 | (1346) bit1(zero_zero_int) = all_752_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (294) imply:
% 276.20/45.83 | (1347) bit1(zero_zero_int) = all_748_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (806) imply:
% 276.20/45.83 | (1348) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1489_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (801) imply:
% 276.20/45.83 | (1349) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1483_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (785) imply:
% 276.20/45.83 | (1350) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1462_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (695) imply:
% 276.20/45.83 | (1351) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1256_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (693) imply:
% 276.20/45.83 | (1352) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1253_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (663) imply:
% 276.20/45.83 | (1353) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1185_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (633) imply:
% 276.20/45.83 | (1354) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1166_0
% 276.20/45.83 |
% 276.20/45.83 | REDUCE: (30), (631) imply:
% 276.20/45.84 | (1355) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_1163_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (355) imply:
% 276.20/45.84 | (1356) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_815_1
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (316) imply:
% 276.20/45.84 | (1357) hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int) = all_774_1
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (1175) imply:
% 276.20/45.84 | (1358) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1866_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (800) imply:
% 276.20/45.84 | (1359) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1483_1
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (798) imply:
% 276.20/45.84 | (1360) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1480_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (794) imply:
% 276.20/45.84 | (1361) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1471_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (781) imply:
% 276.20/45.84 | (1362) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1456_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (686) imply:
% 276.20/45.84 | (1363) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_1247_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (365) imply:
% 276.20/45.84 | (1364) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_834_1
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (345) imply:
% 276.20/45.84 | (1365) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_806_1
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (330) imply:
% 276.20/45.84 | (1366) hAPP_i1948725293t_bool(ord_less_int, zero_zero_int) = all_793_1
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (364) imply:
% 276.20/45.84 | (1367) hAPP_int_bool(all_834_1, zero_zero_int) = all_834_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (354) imply:
% 276.20/45.84 | (1368) hAPP_int_bool(all_815_1, zero_zero_int) = all_815_0
% 276.20/45.84 |
% 276.20/45.84 | REDUCE: (30), (348) imply:
% 276.20/45.84 | (1369) hAPP_int_bool(all_808_1, zero_zero_int) = all_808_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (282) with all_861_2, all_865_2, one_one_int,
% 276.20/45.84 | one_one_int, simplifying with (380), (389) gives:
% 276.20/45.84 | (1370) all_865_2 = all_861_2
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (282) with all_852_1, all_865_2, one_one_int,
% 276.20/45.84 | one_one_int, simplifying with (373), (389) gives:
% 276.20/45.84 | (1371) all_865_2 = all_852_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (19) with all_1515_3, simplifying with (831) gives:
% 276.20/45.84 | (1372) all_1515_3 = zero_zero_int
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_948_2, all_1032_5, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (469), (532) gives:
% 276.20/45.84 | (1373) all_1032_5 = all_948_2
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_1032_5, all_1593_11, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (532), (913) gives:
% 276.20/45.84 | (1374) all_1593_11 = all_1032_5
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_1593_11, all_1643_11, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (913), (947) gives:
% 276.20/45.84 | (1375) all_1643_11 = all_1593_11
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_1643_11, all_1708_11, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (947), (1003) gives:
% 276.20/45.84 | (1376) all_1708_11 = all_1643_11
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_1708_11, all_1713_11, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (1003), (1015) gives:
% 276.20/45.84 | (1377) all_1713_11 = all_1708_11
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_1713_11, all_1835_1, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (1015), (1143) gives:
% 276.20/45.84 | (1378) all_1835_1 = all_1713_11
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_1835_1, all_1846_8, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (1143), (1157) gives:
% 276.20/45.84 | (1379) all_1846_8 = all_1835_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (283) with all_953_2, all_1846_8, n,
% 276.20/45.84 | semiri1621563631at_int, simplifying with (476), (1157) gives:
% 276.20/45.84 | (1380) all_1846_8 = all_953_2
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_799_1, all_1169_1, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (337), (635) gives:
% 276.20/45.84 | (1381) all_1169_1 = all_799_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1169_1, all_1385_0, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (635), (742) gives:
% 276.20/45.84 | (1382) all_1385_0 = all_1169_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1169_1, all_1444_0, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (635), (773) gives:
% 276.20/45.84 | (1383) all_1444_0 = all_1169_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_824_1, all_1444_0, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (361), (773) gives:
% 276.20/45.84 | (1384) all_1444_0 = all_824_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1453_0, all_1672_0, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (779), (986) gives:
% 276.20/45.84 | (1385) all_1672_0 = all_1453_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1385_0, all_1672_0, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (742), (986) gives:
% 276.20/45.84 | (1386) all_1672_0 = all_1385_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1011_0, all_1672_0, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (521), (986) gives:
% 276.20/45.84 | (1387) all_1672_0 = all_1011_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1672_0, all_1693_0, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (986), (992) gives:
% 276.20/45.84 | (1388) all_1693_0 = all_1672_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1693_0, all_1923_1, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (992), (1220) gives:
% 276.20/45.84 | (1389) all_1923_1 = all_1693_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1540_2, all_1923_1, one_one_int,
% 276.20/45.84 | ord_less_int, simplifying with (862), (1220) gives:
% 276.20/45.84 | (1390) all_1923_1 = all_1540_2
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_795_1, all_806_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (333), (1365) gives:
% 276.20/45.84 | (1391) all_806_1 = all_795_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_806_1, all_840_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (369), (1365) gives:
% 276.20/45.84 | (1392) all_840_1 = all_806_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_840_1, all_852_2, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (369), (374) gives:
% 276.20/45.84 | (1393) all_852_2 = all_840_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_999_0, all_1005_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (516), (518) gives:
% 276.20/45.84 | (1394) all_1005_0 = all_999_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1017_1, all_1023_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (523), (525) gives:
% 276.20/45.84 | (1395) all_1023_0 = all_1017_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1005_0, all_1023_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (518), (525) gives:
% 276.20/45.84 | (1396) all_1023_0 = all_1005_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1023_0, all_1043_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (525), (539) gives:
% 276.20/45.84 | (1397) all_1043_0 = all_1023_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1043_0, all_1099_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (539), (579) gives:
% 276.20/45.84 | (1398) all_1099_0 = all_1043_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1110_0, all_1139_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (595), (615) gives:
% 276.20/45.84 | (1399) all_1139_0 = all_1110_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1116_0, all_1145_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (600), (621) gives:
% 276.20/45.84 | (1400) all_1145_0 = all_1116_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1145_0, all_1148_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (621), (623) gives:
% 276.20/45.84 | (1401) all_1148_0 = all_1145_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1148_0, all_1174_7, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (623), (650) gives:
% 276.20/45.84 | (1402) all_1174_7 = all_1148_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1139_0, all_1247_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (615), (1363) gives:
% 276.20/45.84 | (1403) all_1247_0 = all_1139_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1119_0, all_1292_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (602), (713) gives:
% 276.20/45.84 | (1404) all_1292_0 = all_1119_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1116_0, all_1292_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (600), (713) gives:
% 276.20/45.84 | (1405) all_1292_0 = all_1116_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_999_0, all_1292_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (516), (713) gives:
% 276.20/45.84 | (1406) all_1292_0 = all_999_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_852_2, all_1292_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (374), (713) gives:
% 276.20/45.84 | (1407) all_1292_0 = all_852_2
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1247_0, all_1316_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (715), (1363) gives:
% 276.20/45.84 | (1408) all_1316_0 = all_1247_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1292_0, all_1322_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (713), (717) gives:
% 276.20/45.84 | (1409) all_1322_0 = all_1292_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_840_1, all_1456_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (369), (1362) gives:
% 276.20/45.84 | (1410) all_1456_0 = all_840_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_793_1, all_1456_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (1362), (1366) gives:
% 276.20/45.84 | (1411) all_1456_0 = all_793_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1110_0, all_1468_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (595), (791) gives:
% 276.20/45.84 | (1412) all_1468_1 = all_1110_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1102_0, all_1468_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (581), (791) gives:
% 276.20/45.84 | (1413) all_1468_1 = all_1102_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1099_0, all_1468_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (579), (791) gives:
% 276.20/45.84 | (1414) all_1468_1 = all_1099_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1316_0, all_1471_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (715), (1361) gives:
% 276.20/45.84 | (1415) all_1471_0 = all_1316_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_834_1, all_1471_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (1361), (1364) gives:
% 276.20/45.84 | (1416) all_1471_0 = all_834_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1322_0, all_1474_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (717), (796) gives:
% 276.20/45.84 | (1417) all_1474_1 = all_1322_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1107_0, all_1474_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (593), (796) gives:
% 276.20/45.84 | (1418) all_1474_1 = all_1107_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1471_0, all_1480_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (1360), (1361) gives:
% 276.20/45.84 | (1419) all_1480_0 = all_1471_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1480_0, all_1483_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (1359), (1360) gives:
% 276.20/45.84 | (1420) all_1483_1 = all_1480_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1483_1, all_1486_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (803), (1359) gives:
% 276.20/45.84 | (1421) all_1486_0 = all_1483_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1486_0, all_1492_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (803), (808) gives:
% 276.20/45.84 | (1422) all_1492_1 = all_1486_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1492_1, all_1501_1, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (808), (815) gives:
% 276.20/45.84 | (1423) all_1501_1 = all_1492_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1501_1, all_1526_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (815), (844) gives:
% 276.20/45.84 | (1424) all_1526_0 = all_1501_1
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1526_0, all_1532_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (844), (846) gives:
% 276.20/45.84 | (1425) all_1532_0 = all_1526_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1532_0, all_1535_3, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (846), (848) gives:
% 276.20/45.84 | (1426) all_1535_3 = all_1532_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1535_3, all_1557_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (848), (885) gives:
% 276.20/45.84 | (1427) all_1557_0 = all_1535_3
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1557_0, all_1563_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (885), (890) gives:
% 276.20/45.84 | (1428) all_1563_0 = all_1557_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1563_0, all_1575_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (890), (899) gives:
% 276.20/45.84 | (1429) all_1575_0 = all_1563_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1575_0, all_1622_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (899), (939) gives:
% 276.20/45.84 | (1430) all_1622_0 = all_1575_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1622_0, all_1640_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (939), (944) gives:
% 276.20/45.84 | (1431) all_1640_0 = all_1622_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1640_0, all_1651_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (944), (956) gives:
% 276.20/45.84 | (1432) all_1651_0 = all_1640_0
% 276.20/45.84 |
% 276.20/45.84 | GROUND_INST: instantiating (284) with all_1651_0, all_1669_0, zero_zero_int,
% 276.20/45.84 | ord_less_int, simplifying with (956), (984) gives:
% 276.20/45.84 | (1433) all_1669_0 = all_1651_0
% 276.20/45.84 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1259_0, all_1690_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (697), (990) gives:
% 276.20/45.85 | (1434) all_1690_0 = all_1259_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1174_7, all_1690_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (650), (990) gives:
% 276.20/45.85 | (1435) all_1690_0 = all_1174_7
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_953_3, all_1690_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (477), (990) gives:
% 276.20/45.85 | (1436) all_1690_0 = all_953_3
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1669_0, all_1699_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (984), (994) gives:
% 276.20/45.85 | (1437) all_1699_0 = all_1669_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1699_0, all_1744_3, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (994), (1054) gives:
% 276.20/45.85 | (1438) all_1744_3 = all_1699_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1744_3, all_1749_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1054), (1063) gives:
% 276.20/45.85 | (1439) all_1749_0 = all_1744_3
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1749_0, all_1793_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1063), (1103) gives:
% 276.20/45.85 | (1440) all_1793_0 = all_1749_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1793_0, all_1804_1, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1103), (1121) gives:
% 276.20/45.85 | (1441) all_1804_1 = all_1793_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1804_1, all_1810_1, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1121), (1126) gives:
% 276.20/45.85 | (1442) all_1810_1 = all_1804_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1810_1, all_1815_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1126), (1129) gives:
% 276.20/45.85 | (1443) all_1815_0 = all_1810_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1815_0, all_1818_1, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1129), (1132) gives:
% 276.20/45.85 | (1444) all_1818_1 = all_1815_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1818_1, all_1830_1, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1132), (1135) gives:
% 276.20/45.85 | (1445) all_1830_1 = all_1818_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1830_1, all_1832_1, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1135), (1138) gives:
% 276.20/45.85 | (1446) all_1832_1 = all_1830_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1832_1, all_1866_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1138), (1358) gives:
% 276.20/45.85 | (1447) all_1866_0 = all_1832_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1866_0, all_1869_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1177), (1358) gives:
% 276.20/45.85 | (1448) all_1869_0 = all_1866_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1869_0, all_1902_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1177), (1191) gives:
% 276.20/45.85 | (1449) all_1902_0 = all_1869_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1902_0, all_1905_3, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1191), (1194) gives:
% 276.20/45.85 | (1450) all_1905_3 = all_1902_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1905_3, all_1914_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1194), (1203) gives:
% 276.20/45.85 | (1451) all_1914_0 = all_1905_3
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1914_0, all_1932_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (1203), (1225) gives:
% 276.20/45.85 | (1452) all_1932_0 = all_1914_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1471_1, all_1932_0, zero_zero_int,
% 276.20/45.85 | ord_less_int, simplifying with (793), (1225) gives:
% 276.20/45.85 | (1453) all_1932_0 = all_1471_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_804_1, all_808_1, min, ord_less_int,
% 276.20/45.85 | simplifying with (341), (349) gives:
% 276.20/45.85 | (1454) all_808_1 = all_804_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1244_0, all_1262_0, min,
% 276.20/45.85 | ord_less_int, simplifying with (684), (699) gives:
% 276.20/45.85 | (1455) all_1262_0 = all_1244_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_808_1, all_1262_0, min,
% 276.20/45.85 | ord_less_int, simplifying with (349), (699) gives:
% 276.20/45.85 | (1456) all_1262_0 = all_808_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1262_0, all_1507_0, min,
% 276.20/45.85 | ord_less_int, simplifying with (699), (818) gives:
% 276.20/45.85 | (1457) all_1507_0 = all_1262_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_791_1, all_1507_0, min,
% 276.20/45.85 | ord_less_int, simplifying with (327), (818) gives:
% 276.20/45.85 | (1458) all_1507_0 = all_791_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_744_0, all_863_2, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (290), (385) gives:
% 276.20/45.85 | (1459) all_863_2 = all_744_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_867_0, all_875_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (394), (401) gives:
% 276.20/45.85 | (1460) all_875_0 = all_867_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_863_2, all_875_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (385), (401) gives:
% 276.20/45.85 | (1461) all_875_0 = all_863_2
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_863_2, all_887_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (385), (415) gives:
% 276.20/45.85 | (1462) all_887_0 = all_863_2
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_789_1, all_887_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (324), (415) gives:
% 276.20/45.85 | (1463) all_887_0 = all_789_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_875_0, all_966_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (401), (492) gives:
% 276.20/45.85 | (1464) all_966_0 = all_875_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_810_1, all_966_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (351), (492) gives:
% 276.20/45.85 | (1465) all_966_0 = all_810_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_980_4, all_984_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (503), (510) gives:
% 276.20/45.85 | (1466) all_984_0 = all_980_4
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_815_1, all_1026_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (527), (1356) gives:
% 276.20/45.85 | (1467) all_1026_0 = all_815_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_980_4, all_1073_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (503), (558) gives:
% 276.20/45.85 | (1468) all_1073_0 = all_980_4
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_978_4, all_1073_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (498), (558) gives:
% 276.20/45.85 | (1469) all_1073_0 = all_978_4
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_966_0, all_1073_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (492), (558) gives:
% 276.20/45.85 | (1470) all_1073_0 = all_966_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1046_0, all_1122_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (541), (604) gives:
% 276.20/45.85 | (1471) all_1122_0 = all_1046_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1122_0, all_1130_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (604), (611) gives:
% 276.20/45.85 | (1472) all_1130_0 = all_1122_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1130_0, all_1133_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (611), (613) gives:
% 276.20/45.85 | (1473) all_1133_0 = all_1130_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1133_0, all_1154_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (613), (625) gives:
% 276.20/45.85 | (1474) all_1154_0 = all_1133_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1046_0, all_1157_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (541), (627) gives:
% 276.20/45.85 | (1475) all_1157_0 = all_1046_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_984_0, all_1157_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (510), (627) gives:
% 276.20/45.85 | (1476) all_1157_0 = all_984_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1026_0, all_1160_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (527), (629) gives:
% 276.20/45.85 | (1477) all_1160_0 = all_1026_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_863_2, all_1160_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (385), (629) gives:
% 276.20/45.85 | (1478) all_1160_0 = all_863_2
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1157_0, all_1176_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (627), (657) gives:
% 276.20/45.85 | (1479) all_1176_0 = all_1157_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1029_0, all_1176_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (529), (657) gives:
% 276.20/45.85 | (1480) all_1176_0 = all_1029_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1160_0, all_1182_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (629), (661) gives:
% 276.20/45.85 | (1481) all_1182_0 = all_1160_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1176_0, all_1185_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (657), (1353) gives:
% 276.20/45.85 | (1482) all_1185_0 = all_1176_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1163_0, all_1185_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (1353), (1355) gives:
% 276.20/45.85 | (1483) all_1185_0 = all_1163_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1154_0, all_1188_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (625), (665) gives:
% 276.20/45.85 | (1484) all_1188_0 = all_1154_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1188_0, all_1197_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (665), (671) gives:
% 276.20/45.85 | (1485) all_1197_0 = all_1188_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1197_0, all_1214_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (671), (680) gives:
% 276.20/45.85 | (1486) all_1214_0 = all_1197_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1214_0, all_1229_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (680), (682) gives:
% 276.20/45.85 | (1487) all_1229_0 = all_1214_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1229_0, all_1250_3, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (682), (688) gives:
% 276.20/45.85 | (1488) all_1250_3 = all_1229_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1250_3, all_1268_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (688), (701) gives:
% 276.20/45.85 | (1489) all_1268_0 = all_1250_3
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1268_0, all_1271_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (701), (703) gives:
% 276.20/45.85 | (1490) all_1271_0 = all_1268_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1271_0, all_1280_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (703), (709) gives:
% 276.20/45.85 | (1491) all_1280_0 = all_1271_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1280_0, all_1286_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (709), (711) gives:
% 276.20/45.85 | (1492) all_1286_0 = all_1280_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_966_0, all_1331_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (492), (719) gives:
% 276.20/45.85 | (1493) all_1331_0 = all_966_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_878_0, all_1331_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (403), (719) gives:
% 276.20/45.85 | (1494) all_1331_0 = all_878_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1253_0, all_1340_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (726), (1352) gives:
% 276.20/45.85 | (1495) all_1340_0 = all_1253_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1166_0, all_1340_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (726), (1354) gives:
% 276.20/45.85 | (1496) all_1340_0 = all_1166_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_887_0, all_1340_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (415), (726) gives:
% 276.20/45.85 | (1497) all_1340_0 = all_887_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_774_1, all_1340_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (726), (1357) gives:
% 276.20/45.85 | (1498) all_1340_0 = all_774_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_746_0, all_1340_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (292), (726) gives:
% 276.20/45.85 | (1499) all_1340_0 = all_746_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1286_0, all_1346_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (711), (728) gives:
% 276.20/45.85 | (1500) all_1346_0 = all_1286_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1268_0, all_1352_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (701), (730) gives:
% 276.20/45.85 | (1501) all_1352_0 = all_1268_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1352_0, all_1361_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (730), (732) gives:
% 276.20/45.85 | (1502) all_1361_0 = all_1352_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1361_0, all_1435_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (732), (767) gives:
% 276.20/45.85 | (1503) all_1435_0 = all_1361_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1435_0, all_1459_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (767), (783) gives:
% 276.20/45.85 | (1504) all_1459_0 = all_1435_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1459_0, all_1462_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (783), (1350) gives:
% 276.20/45.85 | (1505) all_1462_0 = all_1459_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1417_0, all_1483_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (759), (1349) gives:
% 276.20/45.85 | (1506) all_1483_0 = all_1417_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1483_0, all_1489_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (1348), (1349) gives:
% 276.20/45.85 | (1507) all_1489_0 = all_1483_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1489_0, all_1501_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (816), (1348) gives:
% 276.20/45.85 | (1508) all_1501_0 = all_1489_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1462_0, all_1512_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (828), (1350) gives:
% 276.20/45.85 | (1509) all_1512_0 = all_1462_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1489_0, all_1517_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (838), (1348) gives:
% 276.20/45.85 | (1510) all_1517_0 = all_1489_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1517_0, all_1520_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (838), (840) gives:
% 276.20/45.85 | (1511) all_1520_0 = all_1517_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1520_0, all_1523_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (840), (842) gives:
% 276.20/45.85 | (1512) all_1523_0 = all_1520_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1523_0, all_1557_1, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (842), (886) gives:
% 276.20/45.85 | (1513) all_1557_1 = all_1523_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1182_0, all_1572_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (661), (897) gives:
% 276.20/45.85 | (1514) all_1572_0 = all_1182_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1005_1, all_1572_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (519), (897) gives:
% 276.20/45.85 | (1515) all_1572_0 = all_1005_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1501_0, all_1578_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (816), (901) gives:
% 276.20/45.85 | (1516) all_1578_0 = all_1501_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1512_0, all_1634_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (828), (942) gives:
% 276.20/45.85 | (1517) all_1634_0 = all_1512_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1622_1, all_1687_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (940), (988) gives:
% 276.20/45.85 | (1518) all_1687_0 = all_1622_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1687_0, all_1705_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (988), (998) gives:
% 276.20/45.85 | (1519) all_1705_0 = all_1687_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1705_0, all_1724_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (998), (1033) gives:
% 276.20/45.85 | (1520) all_1724_0 = all_1705_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1724_0, all_1727_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (1033), (1035) gives:
% 276.20/45.85 | (1521) all_1727_0 = all_1724_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1622_1, all_1730_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (940), (1037) gives:
% 276.20/45.85 | (1522) all_1730_0 = all_1622_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1598_0, all_1730_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (918), (1037) gives:
% 276.20/45.85 | (1523) all_1730_0 = all_1598_0
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1557_1, all_1730_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (886), (1037) gives:
% 276.20/45.85 | (1524) all_1730_0 = all_1557_1
% 276.20/45.85 |
% 276.20/45.85 | GROUND_INST: instantiating (284) with all_1727_0, all_1752_0, zero_zero_int,
% 276.20/45.85 | ord_less_eq_int, simplifying with (1035), (1065) gives:
% 276.20/45.86 | (1525) all_1752_0 = all_1727_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1752_0, all_1760_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1065), (1067) gives:
% 276.20/45.86 | (1526) all_1760_0 = all_1752_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1760_0, all_1766_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1067), (1069) gives:
% 276.20/45.86 | (1527) all_1766_0 = all_1760_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1766_0, all_1769_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1069), (1071) gives:
% 276.20/45.86 | (1528) all_1769_0 = all_1766_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1769_0, all_1772_11, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1071), (1077) gives:
% 276.20/45.86 | (1529) all_1772_11 = all_1769_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1772_11, all_1790_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1077), (1101) gives:
% 276.20/45.86 | (1530) all_1790_0 = all_1772_11
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1634_0, all_1799_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (942), (1107) gives:
% 276.20/45.86 | (1531) all_1799_0 = all_1634_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1790_0, all_1802_12, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1101), (1114) gives:
% 276.20/45.86 | (1532) all_1802_12 = all_1790_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1799_0, all_1804_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1107), (1122) gives:
% 276.20/45.86 | (1533) all_1804_0 = all_1799_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1802_12, all_1807_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1114), (1124) gives:
% 276.20/45.86 | (1534) all_1807_0 = all_1802_12
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1804_0, all_1810_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1122), (1127) gives:
% 276.20/45.86 | (1535) all_1810_0 = all_1804_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1807_0, all_1815_1, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1124), (1130) gives:
% 276.20/45.86 | (1536) all_1815_1 = all_1807_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1810_0, all_1818_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1127), (1133) gives:
% 276.20/45.86 | (1537) all_1818_0 = all_1810_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1815_1, all_1830_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1130), (1136) gives:
% 276.20/45.86 | (1538) all_1830_0 = all_1815_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1818_0, all_1832_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1133), (1139) gives:
% 276.20/45.86 | (1539) all_1832_0 = all_1818_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1832_0, all_1848_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1139), (1165) gives:
% 276.20/45.86 | (1540) all_1848_0 = all_1832_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1830_0, all_1857_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1136), (1167) gives:
% 276.20/45.86 | (1541) all_1857_0 = all_1830_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1848_0, all_1860_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1165), (1169) gives:
% 276.20/45.86 | (1542) all_1860_0 = all_1848_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1857_0, all_1896_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1167), (1187) gives:
% 276.20/45.86 | (1543) all_1896_0 = all_1857_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1417_0, all_1899_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (759), (1189) gives:
% 276.20/45.86 | (1544) all_1899_0 = all_1417_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1393_0, all_1899_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (752), (1189) gives:
% 276.20/45.86 | (1545) all_1899_0 = all_1393_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1346_0, all_1899_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (728), (1189) gives:
% 276.20/45.86 | (1546) all_1899_0 = all_1346_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1896_0, all_1902_1, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1187), (1192) gives:
% 276.20/45.86 | (1547) all_1902_1 = all_1896_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1902_1, all_1914_1, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1192), (1204) gives:
% 276.20/45.86 | (1548) all_1914_1 = all_1902_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1578_0, all_1920_12, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (901), (1213) gives:
% 276.20/45.86 | (1549) all_1920_12 = all_1578_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1256_0, all_1920_12, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1213), (1351) gives:
% 276.20/45.86 | (1550) all_1920_12 = all_1256_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1914_1, all_1923_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1204), (1221) gives:
% 276.20/45.86 | (1551) all_1923_0 = all_1914_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1489_1, all_1923_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (805), (1221) gives:
% 276.20/45.86 | (1552) all_1923_0 = all_1489_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1860_0, all_1929_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1169), (1223) gives:
% 276.20/45.86 | (1553) all_1929_0 = all_1860_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_960_0, all_1929_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (486), (1223) gives:
% 276.20/45.86 | (1554) all_1929_0 = all_960_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1929_0, all_1938_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1223), (1227) gives:
% 276.20/45.86 | (1555) all_1938_0 = all_1929_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (284) with all_1917_0, all_1938_0, zero_zero_int,
% 276.20/45.86 | ord_less_eq_int, simplifying with (1206), (1227) gives:
% 276.20/45.86 | (1556) all_1938_0 = all_1917_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_758_0, all_760_0, zero_zero_int,
% 276.20/45.86 | simplifying with (1342), (1343) gives:
% 276.20/45.86 | (1557) all_760_0 = all_758_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_766_0, all_768_0, zero_zero_int,
% 276.20/45.86 | simplifying with (1339), (1340) gives:
% 276.20/45.86 | (1558) all_768_0 = all_766_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_758_0, all_861_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1337), (1343) gives:
% 276.20/45.86 | (1559) all_861_1 = all_758_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_768_0, all_873_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1335), (1339) gives:
% 276.20/45.86 | (1560) all_873_1 = all_768_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_873_1, all_881_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1334), (1335) gives:
% 276.20/45.86 | (1561) all_881_1 = all_873_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_881_1, all_883_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1333), (1334) gives:
% 276.20/45.86 | (1562) all_883_1 = all_881_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_865_1, all_885_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1332), (1336) gives:
% 276.20/45.86 | (1563) all_885_1 = all_865_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_766_0, all_885_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1332), (1340) gives:
% 276.20/45.86 | (1564) all_885_1 = all_766_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_762_0, all_885_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1332), (1341) gives:
% 276.20/45.86 | (1565) all_885_1 = all_762_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_760_0, all_885_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1332), (1342) gives:
% 276.20/45.86 | (1566) all_885_1 = all_760_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_883_1, all_905_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1331), (1333) gives:
% 276.20/45.86 | (1567) all_905_2 = all_883_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_914_2, all_922_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1327), (1328) gives:
% 276.20/45.86 | (1568) all_922_2 = all_914_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_861_1, all_930_0, zero_zero_int,
% 276.20/45.86 | simplifying with (1324), (1337) gives:
% 276.20/45.86 | (1569) all_930_0 = all_861_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_861_1, all_936_0, zero_zero_int,
% 276.20/45.86 | simplifying with (1322), (1337) gives:
% 276.20/45.86 | (1570) all_936_0 = all_861_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_754_0, all_936_0, zero_zero_int,
% 276.20/45.86 | simplifying with (1322), (1345) gives:
% 276.20/45.86 | (1571) all_936_0 = all_754_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_861_1, all_944_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1319), (1337) gives:
% 276.20/45.86 | (1572) all_944_3 = all_861_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_946_3, all_955_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1317), (1318) gives:
% 276.20/45.86 | (1573) all_955_3 = all_946_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_955_3, all_963_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1316), (1317) gives:
% 276.20/45.86 | (1574) all_963_2 = all_955_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_963_2, all_969_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1315), (1316) gives:
% 276.20/45.86 | (1575) all_969_2 = all_963_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_969_2, all_978_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1314), (1315) gives:
% 276.20/45.86 | (1576) all_978_3 = all_969_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_914_2, all_980_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1313), (1328) gives:
% 276.20/45.86 | (1577) all_980_3 = all_914_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_905_2, all_980_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1313), (1331) gives:
% 276.20/45.86 | (1578) all_980_3 = all_905_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_978_3, all_982_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1312), (1314) gives:
% 276.20/45.86 | (1579) all_982_3 = all_978_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_944_3, all_987_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1311), (1319) gives:
% 276.20/45.86 | (1580) all_987_2 = all_944_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_980_3, all_1032_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1310), (1313) gives:
% 276.20/45.86 | (1581) all_1032_2 = all_980_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_933_0, all_1058_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1309), (1323) gives:
% 276.20/45.86 | (1582) all_1058_3 = all_933_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_924_2, all_1058_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1309), (1326) gives:
% 276.20/45.86 | (1583) all_1058_3 = all_924_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_922_2, all_1058_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1309), (1327) gives:
% 276.20/45.86 | (1584) all_1058_3 = all_922_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1067_2, all_1070_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1306), (1307) gives:
% 276.20/45.86 | (1585) all_1070_2 = all_1067_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_936_0, all_1079_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1305), (1322) gives:
% 276.20/45.86 | (1586) all_1079_2 = all_936_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_907_2, all_1079_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1305), (1330) gives:
% 276.20/45.86 | (1587) all_1079_2 = all_907_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_987_2, all_1085_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1304), (1311) gives:
% 276.20/45.86 | (1588) all_1085_2 = all_987_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1070_2, all_1088_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1303), (1306) gives:
% 276.20/45.86 | (1589) all_1088_2 = all_1070_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1088_2, all_1091_6, zero_zero_int,
% 276.20/45.86 | simplifying with (1302), (1303) gives:
% 276.20/45.86 | (1590) all_1091_6 = all_1088_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1091_6, all_1105_5, zero_zero_int,
% 276.20/45.86 | simplifying with (1301), (1302) gives:
% 276.20/45.86 | (1591) all_1105_5 = all_1091_6
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_930_0, all_1125_5, zero_zero_int,
% 276.20/45.86 | simplifying with (1299), (1324) gives:
% 276.20/45.86 | (1592) all_1125_5 = all_930_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1125_5, all_1172_6, zero_zero_int,
% 276.20/45.86 | simplifying with (1297), (1299) gives:
% 276.20/45.86 | (1593) all_1172_6 = all_1125_5
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_770_0, all_1172_6, zero_zero_int,
% 276.20/45.86 | simplifying with (1297), (1338) gives:
% 276.20/45.86 | (1594) all_1172_6 = all_770_0
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1067_2, all_1174_6, zero_zero_int,
% 276.20/45.86 | simplifying with (1296), (1307) gives:
% 276.20/45.86 | (1595) all_1174_6 = all_1067_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1061_3, all_1174_6, zero_zero_int,
% 276.20/45.86 | simplifying with (1296), (1308) gives:
% 276.20/45.86 | (1596) all_1174_6 = all_1061_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_982_3, all_1174_6, zero_zero_int,
% 276.20/45.86 | simplifying with (1296), (1312) gives:
% 276.20/45.86 | (1597) all_1174_6 = all_982_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1142_4, all_1179_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1295), (1298) gives:
% 276.20/45.86 | (1598) all_1179_2 = all_1142_4
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1105_5, all_1179_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1295), (1301) gives:
% 276.20/45.86 | (1599) all_1179_2 = all_1105_5
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1142_4, all_1209_7, zero_zero_int,
% 276.20/45.86 | simplifying with (1293), (1298) gives:
% 276.20/45.86 | (1600) all_1209_7 = all_1142_4
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1209_7, all_1250_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1292), (1293) gives:
% 276.20/45.86 | (1601) all_1250_2 = all_1209_7
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1250_2, all_1274_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1291), (1292) gives:
% 276.20/45.86 | (1602) all_1274_2 = all_1250_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1274_2, all_1337_5, zero_zero_int,
% 276.20/45.86 | simplifying with (1290), (1291) gives:
% 276.20/45.86 | (1603) all_1337_5 = all_1274_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1085_2, all_1376_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1288), (1304) gives:
% 276.20/45.86 | (1604) all_1376_2 = all_1085_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1388_8, all_1414_4, zero_zero_int,
% 276.20/45.86 | simplifying with (1286), (1287) gives:
% 276.20/45.86 | (1605) all_1414_4 = all_1388_8
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1414_4, all_1429_4, zero_zero_int,
% 276.20/45.86 | simplifying with (1285), (1286) gives:
% 276.20/45.86 | (1606) all_1429_4 = all_1414_4
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1388_8, all_1438_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1284), (1287) gives:
% 276.20/45.86 | (1607) all_1438_2 = all_1388_8
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1337_5, all_1438_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1284), (1290) gives:
% 276.20/45.86 | (1608) all_1438_2 = all_1337_5
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1429_4, all_1450_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1283), (1285) gives:
% 276.20/45.86 | (1609) all_1450_2 = all_1429_4
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1450_2, all_1465_4, zero_zero_int,
% 276.20/45.86 | simplifying with (1282), (1283) gives:
% 276.20/45.86 | (1610) all_1465_4 = all_1450_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_944_3, all_1510_8, zero_zero_int,
% 276.20/45.86 | simplifying with (1280), (1319) gives:
% 276.20/45.86 | (1611) all_1510_8 = all_944_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1376_2, all_1538_9, zero_zero_int,
% 276.20/45.86 | simplifying with (1277), (1288) gives:
% 276.20/45.86 | (1612) all_1538_9 = all_1376_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1515_9, all_1540_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1276), (1279) gives:
% 276.20/45.86 | (1613) all_1540_1 = all_1515_9
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1510_8, all_1543_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1275), (1280) gives:
% 276.20/45.86 | (1614) all_1543_1 = all_1510_8
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1540_1, all_1546_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1274), (1276) gives:
% 276.20/45.86 | (1615) all_1546_2 = all_1540_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1543_1, all_1549_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1273), (1275) gives:
% 276.20/45.86 | (1616) all_1549_2 = all_1543_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1032_2, all_1552_9, zero_zero_int,
% 276.20/45.86 | simplifying with (1272), (1310) gives:
% 276.20/45.86 | (1617) all_1552_9 = all_1032_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_912_3, all_1552_9, zero_zero_int,
% 276.20/45.86 | simplifying with (1272), (1329) gives:
% 276.20/45.86 | (1618) all_1552_9 = all_912_3
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1549_2, all_1554_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1271), (1273) gives:
% 276.20/45.86 | (1619) all_1554_1 = all_1549_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1546_2, all_1560_1, zero_zero_int,
% 276.20/45.86 | simplifying with (1270), (1274) gives:
% 276.20/45.86 | (1620) all_1560_1 = all_1546_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1554_1, all_1566_4, zero_zero_int,
% 276.20/45.86 | simplifying with (1269), (1271) gives:
% 276.20/45.86 | (1621) all_1566_4 = all_1554_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1560_1, all_1581_5, zero_zero_int,
% 276.20/45.86 | simplifying with (1268), (1270) gives:
% 276.20/45.86 | (1622) all_1581_5 = all_1560_1
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1581_5, all_1587_2, zero_zero_int,
% 276.20/45.86 | simplifying with (1267), (1268) gives:
% 276.20/45.86 | (1623) all_1587_2 = all_1581_5
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1587_2, all_1593_9, zero_zero_int,
% 276.20/45.86 | simplifying with (1266), (1267) gives:
% 276.20/45.86 | (1624) all_1593_9 = all_1587_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1535_2, all_1604_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1265), (1278) gives:
% 276.20/45.86 | (1625) all_1604_3 = all_1535_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1194_2, all_1604_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1265), (1294) gives:
% 276.20/45.86 | (1626) all_1604_3 = all_1194_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1079_2, all_1604_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1265), (1305) gives:
% 276.20/45.86 | (1627) all_1604_3 = all_1079_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1593_9, all_1610_7, zero_zero_int,
% 276.20/45.86 | simplifying with (1264), (1266) gives:
% 276.20/45.86 | (1628) all_1610_7 = all_1593_9
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1610_7, all_1613_3, zero_zero_int,
% 276.20/45.86 | simplifying with (1263), (1264) gives:
% 276.20/45.86 | (1629) all_1613_3 = all_1610_7
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1438_2, all_1616_5, zero_zero_int,
% 276.20/45.86 | simplifying with (1262), (1284) gives:
% 276.20/45.86 | (1630) all_1616_5 = all_1438_2
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1515_9, all_1643_9, zero_zero_int,
% 276.20/45.86 | simplifying with (1261), (1279) gives:
% 276.20/45.86 | (1631) all_1643_9 = all_1515_9
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1498_4, all_1643_9, zero_zero_int,
% 276.20/45.86 | simplifying with (1261), (1281) gives:
% 276.20/45.86 | (1632) all_1643_9 = all_1498_4
% 276.20/45.86 |
% 276.20/45.86 | GROUND_INST: instantiating (279) with all_1465_4, all_1643_9, zero_zero_int,
% 276.20/45.86 | simplifying with (1261), (1282) gives:
% 276.20/45.86 | (1633) all_1643_9 = all_1465_4
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1616_5, all_1645_3, zero_zero_int,
% 276.20/45.87 | simplifying with (1260), (1262) gives:
% 276.20/45.87 | (1634) all_1645_3 = all_1616_5
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1179_2, all_1660_10, zero_zero_int,
% 276.20/45.87 | simplifying with (1259), (1295) gives:
% 276.20/45.87 | (1635) all_1660_10 = all_1179_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1113_3, all_1660_10, zero_zero_int,
% 276.20/45.87 | simplifying with (1259), (1300) gives:
% 276.20/45.87 | (1636) all_1660_10 = all_1113_3
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1613_3, all_1662_10, zero_zero_int,
% 276.20/45.87 | simplifying with (1258), (1263) gives:
% 276.20/45.87 | (1637) all_1662_10 = all_1613_3
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1662_10, all_1664_11, zero_zero_int,
% 276.20/45.87 | simplifying with (1257), (1258) gives:
% 276.20/45.87 | (1638) all_1664_11 = all_1662_10
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1645_3, all_1708_8, zero_zero_int,
% 276.20/45.87 | simplifying with (1256), (1260) gives:
% 276.20/45.87 | (1639) all_1708_8 = all_1645_3
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1664_11, all_1713_8, zero_zero_int,
% 276.20/45.87 | simplifying with (1255), (1257) gives:
% 276.20/45.87 | (1640) all_1713_8 = all_1664_11
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1566_4, all_1715_0, zero_zero_int,
% 276.20/45.87 | simplifying with (1254), (1269) gives:
% 276.20/45.87 | (1641) all_1715_0 = all_1566_4
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1713_8, all_1718_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1253), (1255) gives:
% 276.20/45.87 | (1642) all_1718_2 = all_1713_8
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1718_2, all_1721_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1252), (1253) gives:
% 276.20/45.87 | (1643) all_1721_2 = all_1718_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1721_2, all_1733_0, zero_zero_int,
% 276.20/45.87 | simplifying with (1251), (1252) gives:
% 276.20/45.87 | (1644) all_1733_0 = all_1721_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1708_8, all_1736_12, zero_zero_int,
% 276.20/45.87 | simplifying with (1250), (1256) gives:
% 276.20/45.87 | (1645) all_1736_12 = all_1708_8
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1733_0, all_1738_0, zero_zero_int,
% 276.20/45.87 | simplifying with (1249), (1251) gives:
% 276.20/45.87 | (1646) all_1738_0 = all_1733_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1538_9, all_1741_0, zero_zero_int,
% 276.20/45.87 | simplifying with (1248), (1277) gives:
% 276.20/45.87 | (1647) all_1741_0 = all_1538_9
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1741_0, all_1744_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1247), (1248) gives:
% 276.20/45.87 | (1648) all_1744_2 = all_1741_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1744_2, all_1746_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1246), (1247) gives:
% 276.20/45.87 | (1649) all_1746_2 = all_1744_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1738_0, all_1772_8, zero_zero_int,
% 276.20/45.87 | simplifying with (1245), (1249) gives:
% 276.20/45.87 | (1650) all_1772_8 = all_1738_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1746_2, all_1774_11, zero_zero_int,
% 276.20/45.87 | simplifying with (1244), (1246) gives:
% 276.20/45.87 | (1651) all_1774_11 = all_1746_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_756_0, all_1774_11, zero_zero_int,
% 276.20/45.87 | simplifying with (1244), (1344) gives:
% 276.20/45.87 | (1652) all_1774_11 = all_756_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1772_8, all_1779_12, zero_zero_int,
% 276.20/45.87 | simplifying with (1243), (1245) gives:
% 276.20/45.87 | (1653) all_1779_12 = all_1772_8
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1779_12, all_1802_11, zero_zero_int,
% 276.20/45.87 | simplifying with (1242), (1243) gives:
% 276.20/45.87 | (1654) all_1802_11 = all_1779_12
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_748_0, all_1802_11, zero_zero_int,
% 276.20/45.87 | simplifying with (1242), (1347) gives:
% 276.20/45.87 | (1655) all_1802_11 = all_748_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1604_3, all_1835_12, zero_zero_int,
% 276.20/45.87 | simplifying with (1241), (1265) gives:
% 276.20/45.87 | (1656) all_1835_12 = all_1604_3
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_946_3, all_1843_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1240), (1318) gives:
% 276.20/45.87 | (1657) all_1843_2 = all_946_3
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_939_0, all_1843_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1240), (1321) gives:
% 276.20/45.87 | (1658) all_1843_2 = all_939_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_933_0, all_1843_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1240), (1323) gives:
% 276.20/45.87 | (1659) all_1843_2 = all_933_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1736_12, all_1846_15, zero_zero_int,
% 276.20/45.87 | simplifying with (1239), (1250) gives:
% 276.20/45.87 | (1660) all_1846_15 = all_1736_12
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1835_12, all_1863_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1238), (1241) gives:
% 276.20/45.87 | (1661) all_1863_2 = all_1835_12
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1846_15, all_1872_5, zero_zero_int,
% 276.20/45.87 | simplifying with (1237), (1239) gives:
% 276.20/45.87 | (1662) all_1872_5 = all_1846_15
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1370_2, all_1872_5, zero_zero_int,
% 276.20/45.87 | simplifying with (1237), (1289) gives:
% 276.20/45.87 | (1663) all_1872_5 = all_1370_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1715_0, all_1878_5, zero_zero_int,
% 276.20/45.87 | simplifying with (1236), (1254) gives:
% 276.20/45.87 | (1664) all_1878_5 = all_1715_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1863_2, all_1905_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1235), (1238) gives:
% 276.20/45.87 | (1665) all_1905_2 = all_1863_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_942_2, all_1905_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1235), (1320) gives:
% 276.20/45.87 | (1666) all_1905_2 = all_942_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1878_5, all_1908_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1234), (1236) gives:
% 276.20/45.87 | (1667) all_1908_2 = all_1878_5
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_926_3, all_1908_2, zero_zero_int,
% 276.20/45.87 | simplifying with (1234), (1325) gives:
% 276.20/45.87 | (1668) all_1908_2 = all_926_3
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_1194_2, all_1920_11, zero_zero_int,
% 276.20/45.87 | simplifying with (1233), (1294) gives:
% 276.20/45.87 | (1669) all_1920_11 = all_1194_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (279) with all_752_0, all_1920_11, zero_zero_int,
% 276.20/45.87 | simplifying with (1233), (1346) gives:
% 276.20/45.87 | (1670) all_1920_11 = all_752_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_787_1, all_817_0, zero_zero_int,
% 276.20/45.87 | simplifying with (1229), (1230) gives:
% 276.20/45.87 | (1671) all_817_0 = all_787_1
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with zero_zero_int, all_817_0, zero_zero_int,
% 276.20/45.87 | simplifying with (1229), (1232) gives:
% 276.20/45.87 | (1672) all_817_0 = zero_zero_int
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_817_0, all_863_1, zero_zero_int,
% 276.20/45.87 | simplifying with (1228), (1229) gives:
% 276.20/45.87 | (1673) all_863_1 = all_817_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_779_0, all_863_1, zero_zero_int,
% 276.20/45.87 | simplifying with (1228), (1231) gives:
% 276.20/45.87 | (1674) all_863_1 = all_779_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_856_0, all_1125_1, min, simplifying
% 276.20/45.87 | with (376), (609) gives:
% 276.20/45.87 | (1675) all_1125_1 = all_856_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1337_1, all_1429_0, min, simplifying
% 276.20/45.87 | with (723), (764) gives:
% 276.20/45.87 | (1676) all_1429_0 = all_1337_1
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1429_0, all_1566_0, min, simplifying
% 276.20/45.87 | with (764), (894) gives:
% 276.20/45.87 | (1677) all_1566_0 = all_1429_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1566_0, all_1616_1, min, simplifying
% 276.20/45.87 | with (894), (936) gives:
% 276.20/45.87 | (1678) all_1616_1 = all_1566_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_787_0, all_1616_1, min, simplifying
% 276.20/45.87 | with (320), (936) gives:
% 276.20/45.87 | (1679) all_1616_1 = all_787_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1337_1, all_1660_6, min, simplifying
% 276.20/45.87 | with (723), (963) gives:
% 276.20/45.87 | (1680) all_1660_6 = all_1337_1
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_957_0, all_1660_6, min, simplifying
% 276.20/45.87 | with (484), (963) gives:
% 276.20/45.87 | (1681) all_1660_6 = all_957_0
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_899_1, all_1660_6, min, simplifying
% 276.20/45.87 | with (417), (963) gives:
% 276.20/45.87 | (1682) all_1660_6 = all_899_1
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1538_2, all_1662_6, min, simplifying
% 276.20/45.87 | with (857), (972) gives:
% 276.20/45.87 | (1683) all_1662_6 = all_1538_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1662_6, all_1702_0, min, simplifying
% 276.20/45.87 | with (972), (996) gives:
% 276.20/45.87 | (1684) all_1702_0 = all_1662_6
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1105_6, all_1702_0, min, simplifying
% 276.20/45.87 | with (588), (996) gives:
% 276.20/45.87 | (1685) all_1702_0 = all_1105_6
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1538_2, all_1779_2, min, simplifying
% 276.20/45.87 | with (857), (1097) gives:
% 276.20/45.87 | (1686) all_1779_2 = all_1538_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1388_1, all_1779_2, min, simplifying
% 276.20/45.87 | with (748), (1097) gives:
% 276.20/45.87 | (1687) all_1779_2 = all_1388_1
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1125_1, all_1779_2, min, simplifying
% 276.20/45.87 | with (609), (1097) gives:
% 276.20/45.87 | (1688) all_1779_2 = all_1125_1
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_899_1, all_1779_2, min, simplifying
% 276.20/45.87 | with (417), (1097) gives:
% 276.20/45.87 | (1689) all_1779_2 = all_899_1
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1779_2, all_1796_0, min, simplifying
% 276.20/45.87 | with (1097), (1105) gives:
% 276.20/45.87 | (1690) all_1796_0 = all_1779_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (280) with all_1736_9, all_1796_0, min, simplifying
% 276.20/45.87 | with (1046), (1105) gives:
% 276.20/45.87 | (1691) all_1796_0 = all_1736_9
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (285) with all_873_2, all_885_2, one_one_nat,
% 276.20/45.87 | one_one_nat, simplifying with (399), (413) gives:
% 276.20/45.87 | (1692) all_885_2 = all_873_2
% 276.20/45.87 |
% 276.20/45.87 | GROUND_INST: instantiating (285) with all_859_1, all_885_2, one_one_nat,
% 276.20/45.87 | one_one_nat, simplifying with (378), (413) gives:
% 276.20/45.87 | (1693) all_885_2 = all_859_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1555), (1556) imply:
% 276.20/45.87 | (1694) all_1929_0 = all_1917_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1694) implies:
% 276.20/45.87 | (1695) all_1929_0 = all_1917_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1452), (1453) imply:
% 276.20/45.87 | (1696) all_1914_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1696) implies:
% 276.20/45.87 | (1697) all_1914_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1553), (1695) imply:
% 276.20/45.87 | (1698) all_1917_0 = all_1860_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1554), (1695) imply:
% 276.20/45.87 | (1699) all_1917_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1551), (1552) imply:
% 276.20/45.87 | (1700) all_1914_1 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1700) implies:
% 276.20/45.87 | (1701) all_1914_1 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1389), (1390) imply:
% 276.20/45.87 | (1702) all_1693_0 = all_1540_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1702) implies:
% 276.20/45.87 | (1703) all_1693_0 = all_1540_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1669), (1670) imply:
% 276.20/45.87 | (1704) all_1194_2 = all_752_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1704) implies:
% 276.20/45.87 | (1705) all_1194_2 = all_752_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1549), (1550) imply:
% 276.20/45.87 | (1706) all_1578_0 = all_1256_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1706) implies:
% 276.20/45.87 | (1707) all_1578_0 = all_1256_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1698), (1699) imply:
% 276.20/45.87 | (1708) all_1860_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1708) implies:
% 276.20/45.87 | (1709) all_1860_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1451), (1697) imply:
% 276.20/45.87 | (1710) all_1905_3 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1710) implies:
% 276.20/45.87 | (1711) all_1905_3 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1548), (1701) imply:
% 276.20/45.87 | (1712) all_1902_1 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1712) implies:
% 276.20/45.87 | (1713) all_1902_1 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1667), (1668) imply:
% 276.20/45.87 | (1714) all_1878_5 = all_926_3
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1714) implies:
% 276.20/45.87 | (1715) all_1878_5 = all_926_3
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1665), (1666) imply:
% 276.20/45.87 | (1716) all_1863_2 = all_942_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1716) implies:
% 276.20/45.87 | (1717) all_1863_2 = all_942_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1450), (1711) imply:
% 276.20/45.87 | (1718) all_1902_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1718) implies:
% 276.20/45.87 | (1719) all_1902_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1449), (1719) imply:
% 276.20/45.87 | (1720) all_1869_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1720) implies:
% 276.20/45.87 | (1721) all_1869_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1547), (1713) imply:
% 276.20/45.87 | (1722) all_1896_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1722) implies:
% 276.20/45.87 | (1723) all_1896_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1544), (1545) imply:
% 276.20/45.87 | (1724) all_1417_0 = all_1393_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1724) implies:
% 276.20/45.87 | (1725) all_1417_0 = all_1393_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1545), (1546) imply:
% 276.20/45.87 | (1726) all_1393_0 = all_1346_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1543), (1723) imply:
% 276.20/45.87 | (1727) all_1857_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1727) implies:
% 276.20/45.87 | (1728) all_1857_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1664), (1715) imply:
% 276.20/45.87 | (1729) all_1715_0 = all_926_3
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1729) implies:
% 276.20/45.87 | (1730) all_1715_0 = all_926_3
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1662), (1663) imply:
% 276.20/45.87 | (1731) all_1846_15 = all_1370_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1731) implies:
% 276.20/45.87 | (1732) all_1846_15 = all_1370_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1448), (1721) imply:
% 276.20/45.87 | (1733) all_1866_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1733) implies:
% 276.20/45.87 | (1734) all_1866_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1447), (1734) imply:
% 276.20/45.87 | (1735) all_1832_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1735) implies:
% 276.20/45.87 | (1736) all_1832_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1661), (1717) imply:
% 276.20/45.87 | (1737) all_1835_12 = all_942_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1737) implies:
% 276.20/45.87 | (1738) all_1835_12 = all_942_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1542), (1709) imply:
% 276.20/45.87 | (1739) all_1848_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1739) implies:
% 276.20/45.87 | (1740) all_1848_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1541), (1728) imply:
% 276.20/45.87 | (1741) all_1830_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1741) implies:
% 276.20/45.87 | (1742) all_1830_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1540), (1740) imply:
% 276.20/45.87 | (1743) all_1832_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1743) implies:
% 276.20/45.87 | (1744) all_1832_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1379), (1380) imply:
% 276.20/45.87 | (1745) all_1835_1 = all_953_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1745) implies:
% 276.20/45.87 | (1746) all_1835_1 = all_953_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1660), (1732) imply:
% 276.20/45.87 | (1747) all_1736_12 = all_1370_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1747) implies:
% 276.20/45.87 | (1748) all_1736_12 = all_1370_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1657), (1658) imply:
% 276.20/45.87 | (1749) all_946_3 = all_939_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1749) implies:
% 276.20/45.87 | (1750) all_946_3 = all_939_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1658), (1659) imply:
% 276.20/45.87 | (1751) all_939_0 = all_933_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1378), (1746) imply:
% 276.20/45.87 | (1752) all_1713_11 = all_953_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1752) implies:
% 276.20/45.87 | (1753) all_1713_11 = all_953_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1656), (1738) imply:
% 276.20/45.87 | (1754) all_1604_3 = all_942_2
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1754) implies:
% 276.20/45.87 | (1755) all_1604_3 = all_942_2
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1539), (1744) imply:
% 276.20/45.87 | (1756) all_1818_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1756) implies:
% 276.20/45.87 | (1757) all_1818_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1446), (1736) imply:
% 276.20/45.87 | (1758) all_1830_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1758) implies:
% 276.20/45.87 | (1759) all_1830_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1538), (1742) imply:
% 276.20/45.87 | (1760) all_1815_1 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1760) implies:
% 276.20/45.87 | (1761) all_1815_1 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1445), (1759) imply:
% 276.20/45.87 | (1762) all_1818_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1762) implies:
% 276.20/45.87 | (1763) all_1818_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1537), (1757) imply:
% 276.20/45.87 | (1764) all_1810_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1764) implies:
% 276.20/45.87 | (1765) all_1810_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1444), (1763) imply:
% 276.20/45.87 | (1766) all_1815_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1766) implies:
% 276.20/45.87 | (1767) all_1815_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1443), (1767) imply:
% 276.20/45.87 | (1768) all_1810_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1768) implies:
% 276.20/45.87 | (1769) all_1810_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1536), (1761) imply:
% 276.20/45.87 | (1770) all_1807_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1770) implies:
% 276.20/45.87 | (1771) all_1807_0 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1535), (1765) imply:
% 276.20/45.87 | (1772) all_1804_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1772) implies:
% 276.20/45.87 | (1773) all_1804_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1442), (1769) imply:
% 276.20/45.87 | (1774) all_1804_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1774) implies:
% 276.20/45.87 | (1775) all_1804_1 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1534), (1771) imply:
% 276.20/45.87 | (1776) all_1802_12 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1776) implies:
% 276.20/45.87 | (1777) all_1802_12 = all_1489_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1533), (1773) imply:
% 276.20/45.87 | (1778) all_1799_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1778) implies:
% 276.20/45.87 | (1779) all_1799_0 = all_960_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1441), (1775) imply:
% 276.20/45.87 | (1780) all_1793_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1780) implies:
% 276.20/45.87 | (1781) all_1793_0 = all_1471_1
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1654), (1655) imply:
% 276.20/45.87 | (1782) all_1779_12 = all_748_0
% 276.20/45.87 |
% 276.20/45.87 | SIMP: (1782) implies:
% 276.20/45.87 | (1783) all_1779_12 = all_748_0
% 276.20/45.87 |
% 276.20/45.87 | COMBINE_EQS: (1532), (1777) imply:
% 276.20/45.87 | (1784) all_1790_0 = all_1489_1
% 276.20/45.88 |
% 276.20/45.88 | SIMP: (1784) implies:
% 276.20/45.88 | (1785) all_1790_0 = all_1489_1
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1531), (1779) imply:
% 276.20/45.88 | (1786) all_1634_0 = all_960_0
% 276.20/45.88 |
% 276.20/45.88 | SIMP: (1786) implies:
% 276.20/45.88 | (1787) all_1634_0 = all_960_0
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1690), (1691) imply:
% 276.20/45.88 | (1788) all_1779_2 = all_1736_9
% 276.20/45.88 |
% 276.20/45.88 | SIMP: (1788) implies:
% 276.20/45.88 | (1789) all_1779_2 = all_1736_9
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1440), (1781) imply:
% 276.20/45.88 | (1790) all_1749_0 = all_1471_1
% 276.20/45.88 |
% 276.20/45.88 | SIMP: (1790) implies:
% 276.20/45.88 | (1791) all_1749_0 = all_1471_1
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1530), (1785) imply:
% 276.20/45.88 | (1792) all_1772_11 = all_1489_1
% 276.20/45.88 |
% 276.20/45.88 | SIMP: (1792) implies:
% 276.20/45.88 | (1793) all_1772_11 = all_1489_1
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1687), (1789) imply:
% 276.20/45.88 | (1794) all_1736_9 = all_1388_1
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1686), (1789) imply:
% 276.20/45.88 | (1795) all_1736_9 = all_1538_2
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1689), (1789) imply:
% 276.20/45.88 | (1796) all_1736_9 = all_899_1
% 276.20/45.88 |
% 276.20/45.88 | COMBINE_EQS: (1688), (1789) imply:
% 276.20/45.88 | (1797) all_1736_9 = all_1125_1
% 276.20/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1653), (1783) imply:
% 276.57/45.88 | (1798) all_1772_8 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1798) implies:
% 276.57/45.88 | (1799) all_1772_8 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1651), (1652) imply:
% 276.57/45.88 | (1800) all_1746_2 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1800) implies:
% 276.57/45.88 | (1801) all_1746_2 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1650), (1799) imply:
% 276.57/45.88 | (1802) all_1738_0 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1802) implies:
% 276.57/45.88 | (1803) all_1738_0 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1529), (1793) imply:
% 276.57/45.88 | (1804) all_1769_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1804) implies:
% 276.57/45.88 | (1805) all_1769_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1528), (1805) imply:
% 276.57/45.88 | (1806) all_1766_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1806) implies:
% 276.57/45.88 | (1807) all_1766_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1527), (1807) imply:
% 276.57/45.88 | (1808) all_1760_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1808) implies:
% 276.57/45.88 | (1809) all_1760_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1526), (1809) imply:
% 276.57/45.88 | (1810) all_1752_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1810) implies:
% 276.57/45.88 | (1811) all_1752_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1525), (1811) imply:
% 276.57/45.88 | (1812) all_1727_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1812) implies:
% 276.57/45.88 | (1813) all_1727_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1439), (1791) imply:
% 276.57/45.88 | (1814) all_1744_3 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1814) implies:
% 276.57/45.88 | (1815) all_1744_3 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1649), (1801) imply:
% 276.57/45.88 | (1816) all_1744_2 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1816) implies:
% 276.57/45.88 | (1817) all_1744_2 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1648), (1817) imply:
% 276.57/45.88 | (1818) all_1741_0 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1818) implies:
% 276.57/45.88 | (1819) all_1741_0 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1438), (1815) imply:
% 276.57/45.88 | (1820) all_1699_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1820) implies:
% 276.57/45.88 | (1821) all_1699_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1647), (1819) imply:
% 276.57/45.88 | (1822) all_1538_9 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1822) implies:
% 276.57/45.88 | (1823) all_1538_9 = all_756_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1646), (1803) imply:
% 276.57/45.88 | (1824) all_1733_0 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1824) implies:
% 276.57/45.88 | (1825) all_1733_0 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1794), (1795) imply:
% 276.57/45.88 | (1826) all_1538_2 = all_1388_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1826) implies:
% 276.57/45.88 | (1827) all_1538_2 = all_1388_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1794), (1797) imply:
% 276.57/45.88 | (1828) all_1388_1 = all_1125_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1794), (1796) imply:
% 276.57/45.88 | (1829) all_1388_1 = all_899_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1645), (1748) imply:
% 276.57/45.88 | (1830) all_1708_8 = all_1370_2
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1830) implies:
% 276.57/45.88 | (1831) all_1708_8 = all_1370_2
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1644), (1825) imply:
% 276.57/45.88 | (1832) all_1721_2 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1832) implies:
% 276.57/45.88 | (1833) all_1721_2 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1522), (1523) imply:
% 276.57/45.88 | (1834) all_1622_1 = all_1598_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1834) implies:
% 276.57/45.88 | (1835) all_1622_1 = all_1598_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1523), (1524) imply:
% 276.57/45.88 | (1836) all_1598_0 = all_1557_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1521), (1813) imply:
% 276.57/45.88 | (1837) all_1724_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1837) implies:
% 276.57/45.88 | (1838) all_1724_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1520), (1838) imply:
% 276.57/45.88 | (1839) all_1705_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1839) implies:
% 276.57/45.88 | (1840) all_1705_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1643), (1833) imply:
% 276.57/45.88 | (1841) all_1718_2 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1841) implies:
% 276.57/45.88 | (1842) all_1718_2 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1642), (1842) imply:
% 276.57/45.88 | (1843) all_1713_8 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1843) implies:
% 276.57/45.88 | (1844) all_1713_8 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1641), (1730) imply:
% 276.57/45.88 | (1845) all_1566_4 = all_926_3
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1845) implies:
% 276.57/45.88 | (1846) all_1566_4 = all_926_3
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1640), (1844) imply:
% 276.57/45.88 | (1847) all_1664_11 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1847) implies:
% 276.57/45.88 | (1848) all_1664_11 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1377), (1753) imply:
% 276.57/45.88 | (1849) all_1708_11 = all_953_2
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1849) implies:
% 276.57/45.88 | (1850) all_1708_11 = all_953_2
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1639), (1831) imply:
% 276.57/45.88 | (1851) all_1645_3 = all_1370_2
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1851) implies:
% 276.57/45.88 | (1852) all_1645_3 = all_1370_2
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1376), (1850) imply:
% 276.57/45.88 | (1853) all_1643_11 = all_953_2
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1853) implies:
% 276.57/45.88 | (1854) all_1643_11 = all_953_2
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1519), (1840) imply:
% 276.57/45.88 | (1855) all_1687_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1855) implies:
% 276.57/45.88 | (1856) all_1687_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1684), (1685) imply:
% 276.57/45.88 | (1857) all_1662_6 = all_1105_6
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1857) implies:
% 276.57/45.88 | (1858) all_1662_6 = all_1105_6
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1437), (1821) imply:
% 276.57/45.88 | (1859) all_1669_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1859) implies:
% 276.57/45.88 | (1860) all_1669_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1388), (1703) imply:
% 276.57/45.88 | (1861) all_1672_0 = all_1540_2
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1861) implies:
% 276.57/45.88 | (1862) all_1672_0 = all_1540_2
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1434), (1435) imply:
% 276.57/45.88 | (1863) all_1259_0 = all_1174_7
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1434), (1436) imply:
% 276.57/45.88 | (1864) all_1259_0 = all_953_3
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1518), (1856) imply:
% 276.57/45.88 | (1865) all_1622_1 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1865) implies:
% 276.57/45.88 | (1866) all_1622_1 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1386), (1862) imply:
% 276.57/45.88 | (1867) all_1540_2 = all_1385_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1387), (1862) imply:
% 276.57/45.88 | (1868) all_1540_2 = all_1011_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1385), (1862) imply:
% 276.57/45.88 | (1869) all_1540_2 = all_1453_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1433), (1860) imply:
% 276.57/45.88 | (1870) all_1651_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1870) implies:
% 276.57/45.88 | (1871) all_1651_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1638), (1848) imply:
% 276.57/45.88 | (1872) all_1662_10 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1872) implies:
% 276.57/45.88 | (1873) all_1662_10 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1683), (1858) imply:
% 276.57/45.88 | (1874) all_1538_2 = all_1105_6
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1874) implies:
% 276.57/45.88 | (1875) all_1538_2 = all_1105_6
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1637), (1873) imply:
% 276.57/45.88 | (1876) all_1613_3 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1876) implies:
% 276.57/45.88 | (1877) all_1613_3 = all_748_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1681), (1682) imply:
% 276.57/45.88 | (1878) all_957_0 = all_899_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1680), (1681) imply:
% 276.57/45.88 | (1879) all_1337_1 = all_957_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1879) implies:
% 276.57/45.88 | (1880) all_1337_1 = all_957_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1635), (1636) imply:
% 276.57/45.88 | (1881) all_1179_2 = all_1113_3
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1881) implies:
% 276.57/45.88 | (1882) all_1179_2 = all_1113_3
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1432), (1871) imply:
% 276.57/45.88 | (1883) all_1640_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1883) implies:
% 276.57/45.88 | (1884) all_1640_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1634), (1852) imply:
% 276.57/45.88 | (1885) all_1616_5 = all_1370_2
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1885) implies:
% 276.57/45.88 | (1886) all_1616_5 = all_1370_2
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1632), (1633) imply:
% 276.57/45.88 | (1887) all_1498_4 = all_1465_4
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1631), (1632) imply:
% 276.57/45.88 | (1888) all_1515_9 = all_1498_4
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1888) implies:
% 276.57/45.88 | (1889) all_1515_9 = all_1498_4
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1375), (1854) imply:
% 276.57/45.88 | (1890) all_1593_11 = all_953_2
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1890) implies:
% 276.57/45.88 | (1891) all_1593_11 = all_953_2
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1431), (1884) imply:
% 276.57/45.88 | (1892) all_1622_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1892) implies:
% 276.57/45.88 | (1893) all_1622_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1517), (1787) imply:
% 276.57/45.88 | (1894) all_1512_0 = all_960_0
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1894) implies:
% 276.57/45.88 | (1895) all_1512_0 = all_960_0
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1430), (1893) imply:
% 276.57/45.88 | (1896) all_1575_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1896) implies:
% 276.57/45.88 | (1897) all_1575_0 = all_1471_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1835), (1866) imply:
% 276.57/45.88 | (1898) all_1598_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | SIMP: (1898) implies:
% 276.57/45.88 | (1899) all_1598_0 = all_1489_1
% 276.57/45.88 |
% 276.57/45.88 | COMBINE_EQS: (1678), (1679) imply:
% 276.57/45.88 | (1900) all_1566_0 = all_787_0
% 276.60/45.88 |
% 276.60/45.88 | SIMP: (1900) implies:
% 276.60/45.88 | (1901) all_1566_0 = all_787_0
% 276.60/45.88 |
% 276.60/45.88 | COMBINE_EQS: (1630), (1886) imply:
% 276.60/45.88 | (1902) all_1438_2 = all_1370_2
% 276.60/45.88 |
% 276.60/45.88 | SIMP: (1902) implies:
% 276.60/45.88 | (1903) all_1438_2 = all_1370_2
% 276.60/45.88 |
% 276.60/45.88 | COMBINE_EQS: (1629), (1877) imply:
% 276.60/45.89 | (1904) all_1610_7 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1904) implies:
% 276.60/45.89 | (1905) all_1610_7 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1628), (1905) imply:
% 276.60/45.89 | (1906) all_1593_9 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1906) implies:
% 276.60/45.89 | (1907) all_1593_9 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1625), (1755) imply:
% 276.60/45.89 | (1908) all_1535_2 = all_942_2
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1625), (1627) imply:
% 276.60/45.89 | (1909) all_1535_2 = all_1079_2
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1625), (1626) imply:
% 276.60/45.89 | (1910) all_1535_2 = all_1194_2
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1836), (1899) imply:
% 276.60/45.89 | (1911) all_1557_1 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1911) implies:
% 276.60/45.89 | (1912) all_1557_1 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1624), (1907) imply:
% 276.60/45.89 | (1913) all_1587_2 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1913) implies:
% 276.60/45.89 | (1914) all_1587_2 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1374), (1891) imply:
% 276.60/45.89 | (1915) all_1032_5 = all_953_2
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1915) implies:
% 276.60/45.89 | (1916) all_1032_5 = all_953_2
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1623), (1914) imply:
% 276.60/45.89 | (1917) all_1581_5 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1917) implies:
% 276.60/45.89 | (1918) all_1581_5 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1622), (1918) imply:
% 276.60/45.89 | (1919) all_1560_1 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1919) implies:
% 276.60/45.89 | (1920) all_1560_1 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1516), (1707) imply:
% 276.60/45.89 | (1921) all_1501_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1921) implies:
% 276.60/45.89 | (1922) all_1501_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1429), (1897) imply:
% 276.60/45.89 | (1923) all_1563_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1923) implies:
% 276.60/45.89 | (1924) all_1563_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1514), (1515) imply:
% 276.60/45.89 | (1925) all_1182_0 = all_1005_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1925) implies:
% 276.60/45.89 | (1926) all_1182_0 = all_1005_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1677), (1901) imply:
% 276.60/45.89 | (1927) all_1429_0 = all_787_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1927) implies:
% 276.60/45.89 | (1928) all_1429_0 = all_787_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1621), (1846) imply:
% 276.60/45.89 | (1929) all_1554_1 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1929) implies:
% 276.60/45.89 | (1930) all_1554_1 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1428), (1924) imply:
% 276.60/45.89 | (1931) all_1557_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1931) implies:
% 276.60/45.89 | (1932) all_1557_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1620), (1920) imply:
% 276.60/45.89 | (1933) all_1546_2 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1933) implies:
% 276.60/45.89 | (1934) all_1546_2 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1427), (1932) imply:
% 276.60/45.89 | (1935) all_1535_3 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1935) implies:
% 276.60/45.89 | (1936) all_1535_3 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1513), (1912) imply:
% 276.60/45.89 | (1937) all_1523_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1937) implies:
% 276.60/45.89 | (1938) all_1523_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1619), (1930) imply:
% 276.60/45.89 | (1939) all_1549_2 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1939) implies:
% 276.60/45.89 | (1940) all_1549_2 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1617), (1618) imply:
% 276.60/45.89 | (1941) all_1032_2 = all_912_3
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1941) implies:
% 276.60/45.89 | (1942) all_1032_2 = all_912_3
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1616), (1940) imply:
% 276.60/45.89 | (1943) all_1543_1 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1943) implies:
% 276.60/45.89 | (1944) all_1543_1 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1615), (1934) imply:
% 276.60/45.89 | (1945) all_1540_1 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1945) implies:
% 276.60/45.89 | (1946) all_1540_1 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1614), (1944) imply:
% 276.60/45.89 | (1947) all_1510_8 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1947) implies:
% 276.60/45.89 | (1948) all_1510_8 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1613), (1946) imply:
% 276.60/45.89 | (1949) all_1515_9 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1949) implies:
% 276.60/45.89 | (1950) all_1515_9 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1868), (1869) imply:
% 276.60/45.89 | (1951) all_1453_0 = all_1011_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1867), (1869) imply:
% 276.60/45.89 | (1952) all_1453_0 = all_1385_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1827), (1875) imply:
% 276.60/45.89 | (1953) all_1388_1 = all_1105_6
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1953) implies:
% 276.60/45.89 | (1954) all_1388_1 = all_1105_6
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1612), (1823) imply:
% 276.60/45.89 | (1955) all_1376_2 = all_756_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1955) implies:
% 276.60/45.89 | (1956) all_1376_2 = all_756_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1908), (1910) imply:
% 276.60/45.89 | (1957) all_1194_2 = all_942_2
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1957) implies:
% 276.60/45.89 | (1958) all_1194_2 = all_942_2
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1908), (1909) imply:
% 276.60/45.89 | (1959) all_1079_2 = all_942_2
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1959) implies:
% 276.60/45.89 | (1960) all_1079_2 = all_942_2
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1426), (1936) imply:
% 276.60/45.89 | (1961) all_1532_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1961) implies:
% 276.60/45.89 | (1962) all_1532_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1425), (1962) imply:
% 276.60/45.89 | (1963) all_1526_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1963) implies:
% 276.60/45.89 | (1964) all_1526_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1424), (1964) imply:
% 276.60/45.89 | (1965) all_1501_1 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1965) implies:
% 276.60/45.89 | (1966) all_1501_1 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1512), (1938) imply:
% 276.60/45.89 | (1967) all_1520_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1967) implies:
% 276.60/45.89 | (1968) all_1520_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1511), (1968) imply:
% 276.60/45.89 | (1969) all_1517_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1969) implies:
% 276.60/45.89 | (1970) all_1517_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1510), (1970) imply:
% 276.60/45.89 | (1971) all_1489_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1971) implies:
% 276.60/45.89 | (1972) all_1489_0 = all_1489_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1889), (1950) imply:
% 276.60/45.89 | (1973) all_1498_4 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1973) implies:
% 276.60/45.89 | (1974) all_1498_4 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1509), (1895) imply:
% 276.60/45.89 | (1975) all_1462_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1975) implies:
% 276.60/45.89 | (1976) all_1462_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1611), (1948) imply:
% 276.60/45.89 | (1977) all_944_3 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1977) implies:
% 276.60/45.89 | (1978) all_944_3 = all_926_3
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1457), (1458) imply:
% 276.60/45.89 | (1979) all_1262_0 = all_791_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1979) implies:
% 276.60/45.89 | (1980) all_1262_0 = all_791_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1508), (1922) imply:
% 276.60/45.89 | (1981) all_1489_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1981) implies:
% 276.60/45.89 | (1982) all_1489_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1423), (1966) imply:
% 276.60/45.89 | (1983) all_1492_1 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1983) implies:
% 276.60/45.89 | (1984) all_1492_1 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1887), (1974) imply:
% 276.60/45.89 | (1985) all_1465_4 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1985) implies:
% 276.60/45.89 | (1986) all_1465_4 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1422), (1984) imply:
% 276.60/45.89 | (1987) all_1486_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1987) implies:
% 276.60/45.89 | (1988) all_1486_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1507), (1972) imply:
% 276.60/45.89 | (1989) all_1489_1 = all_1483_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1972), (1982) imply:
% 276.60/45.89 | (1990) all_1489_1 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1989), (1990) imply:
% 276.60/45.89 | (1991) all_1483_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1991) implies:
% 276.60/45.89 | (1992) all_1483_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1421), (1988) imply:
% 276.60/45.89 | (1993) all_1483_1 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1993) implies:
% 276.60/45.89 | (1994) all_1483_1 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1506), (1992) imply:
% 276.60/45.89 | (1995) all_1417_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1995) implies:
% 276.60/45.89 | (1996) all_1417_0 = all_1256_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1420), (1994) imply:
% 276.60/45.89 | (1997) all_1480_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1997) implies:
% 276.60/45.89 | (1998) all_1480_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1419), (1998) imply:
% 276.60/45.89 | (1999) all_1471_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (1999) implies:
% 276.60/45.89 | (2000) all_1471_0 = all_1471_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1417), (1418) imply:
% 276.60/45.89 | (2001) all_1322_0 = all_1107_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2001) implies:
% 276.60/45.89 | (2002) all_1322_0 = all_1107_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1415), (2000) imply:
% 276.60/45.89 | (2003) all_1471_1 = all_1316_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1416), (2000) imply:
% 276.60/45.89 | (2004) all_1471_1 = all_834_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (2003), (2004) imply:
% 276.60/45.89 | (2005) all_1316_0 = all_834_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2005) implies:
% 276.60/45.89 | (2006) all_1316_0 = all_834_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1412), (1413) imply:
% 276.60/45.89 | (2007) all_1110_0 = all_1102_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2007) implies:
% 276.60/45.89 | (2008) all_1110_0 = all_1102_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1413), (1414) imply:
% 276.60/45.89 | (2009) all_1102_0 = all_1099_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1610), (1986) imply:
% 276.60/45.89 | (2010) all_1450_2 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2010) implies:
% 276.60/45.89 | (2011) all_1450_2 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1505), (1976) imply:
% 276.60/45.89 | (2012) all_1459_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2012) implies:
% 276.60/45.89 | (2013) all_1459_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1504), (2013) imply:
% 276.60/45.89 | (2014) all_1435_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2014) implies:
% 276.60/45.89 | (2015) all_1435_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1410), (1411) imply:
% 276.60/45.89 | (2016) all_840_1 = all_793_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2016) implies:
% 276.60/45.89 | (2017) all_840_1 = all_793_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1951), (1952) imply:
% 276.60/45.89 | (2018) all_1385_0 = all_1011_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2018) implies:
% 276.60/45.89 | (2019) all_1385_0 = all_1011_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1609), (2011) imply:
% 276.60/45.89 | (2020) all_1429_4 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2020) implies:
% 276.60/45.89 | (2021) all_1429_4 = all_748_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1383), (1384) imply:
% 276.60/45.89 | (2022) all_1169_1 = all_824_1
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2022) implies:
% 276.60/45.89 | (2023) all_1169_1 = all_824_1
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1607), (1903) imply:
% 276.60/45.89 | (2024) all_1388_8 = all_1370_2
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2024) implies:
% 276.60/45.89 | (2025) all_1388_8 = all_1370_2
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1608), (1903) imply:
% 276.60/45.89 | (2026) all_1370_2 = all_1337_5
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1503), (2015) imply:
% 276.60/45.89 | (2027) all_1361_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2027) implies:
% 276.60/45.89 | (2028) all_1361_0 = all_960_0
% 276.60/45.89 |
% 276.60/45.89 | COMBINE_EQS: (1676), (1928) imply:
% 276.60/45.89 | (2029) all_1337_1 = all_787_0
% 276.60/45.89 |
% 276.60/45.89 | SIMP: (2029) implies:
% 276.60/45.90 | (2030) all_1337_1 = all_787_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1606), (2021) imply:
% 276.60/45.90 | (2031) all_1414_4 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2031) implies:
% 276.60/45.90 | (2032) all_1414_4 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1725), (1996) imply:
% 276.60/45.90 | (2033) all_1393_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2033) implies:
% 276.60/45.90 | (2034) all_1393_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1605), (2032) imply:
% 276.60/45.90 | (2035) all_1388_8 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2035) implies:
% 276.60/45.90 | (2036) all_1388_8 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1726), (2034) imply:
% 276.60/45.90 | (2037) all_1346_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2037) implies:
% 276.60/45.90 | (2038) all_1346_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1828), (1954) imply:
% 276.60/45.90 | (2039) all_1125_1 = all_1105_6
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2039) implies:
% 276.60/45.90 | (2040) all_1125_1 = all_1105_6
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1829), (1954) imply:
% 276.60/45.90 | (2041) all_1105_6 = all_899_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2025), (2036) imply:
% 276.60/45.90 | (2042) all_1370_2 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2042) implies:
% 276.60/45.90 | (2043) all_1370_2 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1382), (2019) imply:
% 276.60/45.90 | (2044) all_1169_1 = all_1011_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2044) implies:
% 276.60/45.90 | (2045) all_1169_1 = all_1011_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1604), (1956) imply:
% 276.60/45.90 | (2046) all_1085_2 = all_756_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2046) implies:
% 276.60/45.90 | (2047) all_1085_2 = all_756_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2026), (2043) imply:
% 276.60/45.90 | (2048) all_1337_5 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2048) implies:
% 276.60/45.90 | (2049) all_1337_5 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1502), (2028) imply:
% 276.60/45.90 | (2050) all_1352_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2050) implies:
% 276.60/45.90 | (2051) all_1352_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1501), (2051) imply:
% 276.60/45.90 | (2052) all_1268_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2052) implies:
% 276.60/45.90 | (2053) all_1268_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1500), (2038) imply:
% 276.60/45.90 | (2054) all_1286_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2054) implies:
% 276.60/45.90 | (2055) all_1286_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1495), (1499) imply:
% 276.60/45.90 | (2056) all_1253_0 = all_746_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1495), (1497) imply:
% 276.60/45.90 | (2057) all_1253_0 = all_887_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1495), (1498) imply:
% 276.60/45.90 | (2058) all_1253_0 = all_774_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1495), (1496) imply:
% 276.60/45.90 | (2059) all_1253_0 = all_1166_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1880), (2030) imply:
% 276.60/45.90 | (2060) all_957_0 = all_787_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2060) implies:
% 276.60/45.90 | (2061) all_957_0 = all_787_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1603), (2049) imply:
% 276.60/45.90 | (2062) all_1274_2 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2062) implies:
% 276.60/45.90 | (2063) all_1274_2 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1493), (1494) imply:
% 276.60/45.90 | (2064) all_966_0 = all_878_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2064) implies:
% 276.60/45.90 | (2065) all_966_0 = all_878_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1409), (2002) imply:
% 276.60/45.90 | (2066) all_1292_0 = all_1107_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2066) implies:
% 276.60/45.90 | (2067) all_1292_0 = all_1107_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1408), (2006) imply:
% 276.60/45.90 | (2068) all_1247_0 = all_834_1
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2068) implies:
% 276.60/45.90 | (2069) all_1247_0 = all_834_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1404), (1406) imply:
% 276.60/45.90 | (2070) all_1119_0 = all_999_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1404), (1407) imply:
% 276.60/45.90 | (2071) all_1119_0 = all_852_2
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1404), (1405) imply:
% 276.60/45.90 | (2072) all_1119_0 = all_1116_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1404), (2067) imply:
% 276.60/45.90 | (2073) all_1119_0 = all_1107_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1492), (2055) imply:
% 276.60/45.90 | (2074) all_1280_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2074) implies:
% 276.60/45.90 | (2075) all_1280_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1491), (2075) imply:
% 276.60/45.90 | (2076) all_1271_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2076) implies:
% 276.60/45.90 | (2077) all_1271_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1602), (2063) imply:
% 276.60/45.90 | (2078) all_1250_2 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2078) implies:
% 276.60/45.90 | (2079) all_1250_2 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1490), (2077) imply:
% 276.60/45.90 | (2080) all_1268_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2080) implies:
% 276.60/45.90 | (2081) all_1268_0 = all_1256_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1489), (2081) imply:
% 276.60/45.90 | (2082) all_1256_0 = all_1250_3
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2053), (2081) imply:
% 276.60/45.90 | (2083) all_1256_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1455), (1456) imply:
% 276.60/45.90 | (2084) all_1244_0 = all_808_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1455), (1980) imply:
% 276.60/45.90 | (2085) all_1244_0 = all_791_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1863), (1864) imply:
% 276.60/45.90 | (2086) all_1174_7 = all_953_3
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2086) implies:
% 276.60/45.90 | (2087) all_1174_7 = all_953_3
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2082), (2083) imply:
% 276.60/45.90 | (2088) all_1250_3 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2088) implies:
% 276.60/45.90 | (2089) all_1250_3 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2058), (2059) imply:
% 276.60/45.90 | (2090) all_1166_0 = all_774_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2056), (2059) imply:
% 276.60/45.90 | (2091) all_1166_0 = all_746_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2057), (2059) imply:
% 276.60/45.90 | (2092) all_1166_0 = all_887_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1601), (2079) imply:
% 276.60/45.90 | (2093) all_1209_7 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2093) implies:
% 276.60/45.90 | (2094) all_1209_7 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1488), (2089) imply:
% 276.60/45.90 | (2095) all_1229_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2095) implies:
% 276.60/45.90 | (2096) all_1229_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1403), (2069) imply:
% 276.60/45.90 | (2097) all_1139_0 = all_834_1
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2097) implies:
% 276.60/45.90 | (2098) all_1139_0 = all_834_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2084), (2085) imply:
% 276.60/45.90 | (2099) all_808_1 = all_791_1
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2099) implies:
% 276.60/45.90 | (2100) all_808_1 = all_791_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1487), (2096) imply:
% 276.60/45.90 | (2101) all_1214_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2101) implies:
% 276.60/45.90 | (2102) all_1214_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1486), (2102) imply:
% 276.60/45.90 | (2103) all_1197_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2103) implies:
% 276.60/45.90 | (2104) all_1197_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1600), (2094) imply:
% 276.60/45.90 | (2105) all_1142_4 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2105) implies:
% 276.60/45.90 | (2106) all_1142_4 = all_748_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1485), (2104) imply:
% 276.60/45.90 | (2107) all_1188_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2107) implies:
% 276.60/45.90 | (2108) all_1188_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1705), (1958) imply:
% 276.60/45.90 | (2109) all_942_2 = all_752_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2109) implies:
% 276.60/45.90 | (2110) all_942_2 = all_752_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1484), (2108) imply:
% 276.60/45.90 | (2111) all_1154_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2111) implies:
% 276.60/45.90 | (2112) all_1154_0 = all_960_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1482), (1483) imply:
% 276.60/45.90 | (2113) all_1176_0 = all_1163_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2113) implies:
% 276.60/45.90 | (2114) all_1176_0 = all_1163_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1481), (1926) imply:
% 276.60/45.90 | (2115) all_1160_0 = all_1005_1
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2115) implies:
% 276.60/45.90 | (2116) all_1160_0 = all_1005_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1598), (1882) imply:
% 276.60/45.90 | (2117) all_1142_4 = all_1113_3
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2117) implies:
% 276.60/45.90 | (2118) all_1142_4 = all_1113_3
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1599), (1882) imply:
% 276.60/45.90 | (2119) all_1113_3 = all_1105_5
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1479), (2114) imply:
% 276.60/45.90 | (2120) all_1163_0 = all_1157_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1480), (2114) imply:
% 276.60/45.90 | (2121) all_1163_0 = all_1029_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1595), (1596) imply:
% 276.60/45.90 | (2122) all_1067_2 = all_1061_3
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2122) implies:
% 276.60/45.90 | (2123) all_1067_2 = all_1061_3
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1596), (1597) imply:
% 276.60/45.90 | (2124) all_1061_3 = all_982_3
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1402), (2087) imply:
% 276.60/45.90 | (2125) all_1148_0 = all_953_3
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2125) implies:
% 276.60/45.90 | (2126) all_1148_0 = all_953_3
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1593), (1594) imply:
% 276.60/45.90 | (2127) all_1125_5 = all_770_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2127) implies:
% 276.60/45.90 | (2128) all_1125_5 = all_770_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1381), (2045) imply:
% 276.60/45.90 | (2129) all_1011_0 = all_799_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2023), (2045) imply:
% 276.60/45.90 | (2130) all_1011_0 = all_824_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2090), (2091) imply:
% 276.60/45.90 | (2131) all_774_1 = all_746_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2090), (2092) imply:
% 276.60/45.90 | (2132) all_887_0 = all_774_1
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2132) implies:
% 276.60/45.90 | (2133) all_887_0 = all_774_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (2120), (2121) imply:
% 276.60/45.90 | (2134) all_1157_0 = all_1029_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2134) implies:
% 276.60/45.90 | (2135) all_1157_0 = all_1029_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1478), (2116) imply:
% 276.60/45.90 | (2136) all_1005_1 = all_863_2
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1477), (2116) imply:
% 276.60/45.90 | (2137) all_1026_0 = all_1005_1
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2137) implies:
% 276.60/45.90 | (2138) all_1026_0 = all_1005_1
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1475), (2135) imply:
% 276.60/45.90 | (2139) all_1046_0 = all_1029_0
% 276.60/45.90 |
% 276.60/45.90 | SIMP: (2139) implies:
% 276.60/45.90 | (2140) all_1046_0 = all_1029_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1476), (2135) imply:
% 276.60/45.90 | (2141) all_1029_0 = all_984_0
% 276.60/45.90 |
% 276.60/45.90 | COMBINE_EQS: (1474), (2112) imply:
% 276.68/45.90 | (2142) all_1133_0 = all_960_0
% 276.68/45.90 |
% 276.68/45.90 | SIMP: (2142) implies:
% 276.68/45.90 | (2143) all_1133_0 = all_960_0
% 276.68/45.90 |
% 276.68/45.90 | COMBINE_EQS: (1401), (2126) imply:
% 276.68/45.90 | (2144) all_1145_0 = all_953_3
% 276.68/45.90 |
% 276.68/45.90 | SIMP: (2144) implies:
% 276.68/45.90 | (2145) all_1145_0 = all_953_3
% 276.68/45.90 |
% 276.68/45.90 | COMBINE_EQS: (1400), (2145) imply:
% 276.68/45.91 | (2146) all_1116_0 = all_953_3
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2146) implies:
% 276.68/45.91 | (2147) all_1116_0 = all_953_3
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2106), (2118) imply:
% 276.68/45.91 | (2148) all_1113_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2148) implies:
% 276.68/45.91 | (2149) all_1113_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1399), (2098) imply:
% 276.68/45.91 | (2150) all_1110_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2150) implies:
% 276.68/45.91 | (2151) all_1110_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1473), (2143) imply:
% 276.68/45.91 | (2152) all_1130_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2152) implies:
% 276.68/45.91 | (2153) all_1130_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1472), (2153) imply:
% 276.68/45.91 | (2154) all_1122_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2154) implies:
% 276.68/45.91 | (2155) all_1122_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1675), (2040) imply:
% 276.68/45.91 | (2156) all_1105_6 = all_856_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2156) implies:
% 276.68/45.91 | (2157) all_1105_6 = all_856_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1592), (2128) imply:
% 276.68/45.91 | (2158) all_930_0 = all_770_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2158) implies:
% 276.68/45.91 | (2159) all_930_0 = all_770_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1471), (2155) imply:
% 276.68/45.91 | (2160) all_1046_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2160) implies:
% 276.68/45.91 | (2161) all_1046_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2070), (2073) imply:
% 276.68/45.91 | (2162) all_1107_0 = all_999_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2071), (2073) imply:
% 276.68/45.91 | (2163) all_1107_0 = all_852_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2072), (2073) imply:
% 276.68/45.91 | (2164) all_1116_0 = all_1107_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2164) implies:
% 276.68/45.91 | (2165) all_1116_0 = all_1107_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2147), (2165) imply:
% 276.68/45.91 | (2166) all_1107_0 = all_953_3
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2166) implies:
% 276.68/45.91 | (2167) all_1107_0 = all_953_3
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2119), (2149) imply:
% 276.68/45.91 | (2168) all_1105_5 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2168) implies:
% 276.68/45.91 | (2169) all_1105_5 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2008), (2151) imply:
% 276.68/45.91 | (2170) all_1102_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2170) implies:
% 276.68/45.91 | (2171) all_1102_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2163), (2167) imply:
% 276.68/45.91 | (2172) all_953_3 = all_852_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2162), (2167) imply:
% 276.68/45.91 | (2173) all_999_0 = all_953_3
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2173) implies:
% 276.68/45.91 | (2174) all_999_0 = all_953_3
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1591), (2169) imply:
% 276.68/45.91 | (2175) all_1091_6 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2175) implies:
% 276.68/45.91 | (2176) all_1091_6 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2041), (2157) imply:
% 276.68/45.91 | (2177) all_899_1 = all_856_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2177) implies:
% 276.68/45.91 | (2178) all_899_1 = all_856_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2009), (2171) imply:
% 276.68/45.91 | (2179) all_1099_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2179) implies:
% 276.68/45.91 | (2180) all_1099_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1398), (2180) imply:
% 276.68/45.91 | (2181) all_1043_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2181) implies:
% 276.68/45.91 | (2182) all_1043_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1590), (2176) imply:
% 276.68/45.91 | (2183) all_1088_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2183) implies:
% 276.68/45.91 | (2184) all_1088_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1589), (2184) imply:
% 276.68/45.91 | (2185) all_1070_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2185) implies:
% 276.68/45.91 | (2186) all_1070_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1588), (2047) imply:
% 276.68/45.91 | (2187) all_987_2 = all_756_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2187) implies:
% 276.68/45.91 | (2188) all_987_2 = all_756_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1586), (1587) imply:
% 276.68/45.91 | (2189) all_936_0 = all_907_2
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2189) implies:
% 276.68/45.91 | (2190) all_936_0 = all_907_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1587), (1960) imply:
% 276.68/45.91 | (2191) all_942_2 = all_907_2
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2191) implies:
% 276.68/45.91 | (2192) all_942_2 = all_907_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1469), (1470) imply:
% 276.68/45.91 | (2193) all_978_4 = all_966_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1468), (1469) imply:
% 276.68/45.91 | (2194) all_980_4 = all_978_4
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2194) implies:
% 276.68/45.91 | (2195) all_980_4 = all_978_4
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1585), (2186) imply:
% 276.68/45.91 | (2196) all_1067_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2196) implies:
% 276.68/45.91 | (2197) all_1067_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2123), (2197) imply:
% 276.68/45.91 | (2198) all_1061_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2198) implies:
% 276.68/45.91 | (2199) all_1061_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2124), (2199) imply:
% 276.68/45.91 | (2200) all_982_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2200) implies:
% 276.68/45.91 | (2201) all_982_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1583), (1584) imply:
% 276.68/45.91 | (2202) all_924_2 = all_922_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1582), (1583) imply:
% 276.68/45.91 | (2203) all_933_0 = all_924_2
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2203) implies:
% 276.68/45.91 | (2204) all_933_0 = all_924_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2140), (2161) imply:
% 276.68/45.91 | (2205) all_1029_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2205) implies:
% 276.68/45.91 | (2206) all_1029_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1397), (2182) imply:
% 276.68/45.91 | (2207) all_1023_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2207) implies:
% 276.68/45.91 | (2208) all_1023_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1581), (1942) imply:
% 276.68/45.91 | (2209) all_980_3 = all_912_3
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2209) implies:
% 276.68/45.91 | (2210) all_980_3 = all_912_3
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1373), (1916) imply:
% 276.68/45.91 | (2211) all_953_2 = all_948_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2141), (2206) imply:
% 276.68/45.91 | (2212) all_984_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2212) implies:
% 276.68/45.91 | (2213) all_984_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1467), (2138) imply:
% 276.68/45.91 | (2214) all_1005_1 = all_815_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2214) implies:
% 276.68/45.91 | (2215) all_1005_1 = all_815_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1395), (1396) imply:
% 276.68/45.91 | (2216) all_1017_1 = all_1005_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1395), (2208) imply:
% 276.68/45.91 | (2217) all_1017_1 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2216), (2217) imply:
% 276.68/45.91 | (2218) all_1005_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2218) implies:
% 276.68/45.91 | (2219) all_1005_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2129), (2130) imply:
% 276.68/45.91 | (2220) all_824_1 = all_799_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1394), (2219) imply:
% 276.68/45.91 | (2221) all_999_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2221) implies:
% 276.68/45.91 | (2222) all_999_0 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2136), (2215) imply:
% 276.68/45.91 | (2223) all_863_2 = all_815_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2223) implies:
% 276.68/45.91 | (2224) all_863_2 = all_815_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2174), (2222) imply:
% 276.68/45.91 | (2225) all_953_3 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2225) implies:
% 276.68/45.91 | (2226) all_953_3 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1580), (2188) imply:
% 276.68/45.91 | (2227) all_944_3 = all_756_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2227) implies:
% 276.68/45.91 | (2228) all_944_3 = all_756_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1466), (2213) imply:
% 276.68/45.91 | (2229) all_980_4 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2229) implies:
% 276.68/45.91 | (2230) all_980_4 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1579), (2201) imply:
% 276.68/45.91 | (2231) all_978_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2231) implies:
% 276.68/45.91 | (2232) all_978_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1578), (2210) imply:
% 276.68/45.91 | (2233) all_912_3 = all_905_2
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1577), (2210) imply:
% 276.68/45.91 | (2234) all_914_2 = all_912_3
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2234) implies:
% 276.68/45.91 | (2235) all_914_2 = all_912_3
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2195), (2230) imply:
% 276.68/45.91 | (2236) all_978_4 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2236) implies:
% 276.68/45.91 | (2237) all_978_4 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1576), (2232) imply:
% 276.68/45.91 | (2238) all_969_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2238) implies:
% 276.68/45.91 | (2239) all_969_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2193), (2237) imply:
% 276.68/45.91 | (2240) all_966_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2240) implies:
% 276.68/45.91 | (2241) all_966_0 = all_960_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1575), (2239) imply:
% 276.68/45.91 | (2242) all_963_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2242) implies:
% 276.68/45.91 | (2243) all_963_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1465), (2241) imply:
% 276.68/45.91 | (2244) all_960_0 = all_810_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1464), (2241) imply:
% 276.68/45.91 | (2245) all_960_0 = all_875_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2065), (2241) imply:
% 276.68/45.91 | (2246) all_960_0 = all_878_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1574), (2243) imply:
% 276.68/45.91 | (2247) all_955_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2247) implies:
% 276.68/45.91 | (2248) all_955_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2245), (2246) imply:
% 276.68/45.91 | (2249) all_878_0 = all_875_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2244), (2246) imply:
% 276.68/45.91 | (2250) all_878_0 = all_810_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1878), (2061) imply:
% 276.68/45.91 | (2251) all_899_1 = all_787_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2251) implies:
% 276.68/45.91 | (2252) all_899_1 = all_787_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1573), (2248) imply:
% 276.68/45.91 | (2253) all_946_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2253) implies:
% 276.68/45.91 | (2254) all_946_3 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2172), (2226) imply:
% 276.68/45.91 | (2255) all_852_2 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2255) implies:
% 276.68/45.91 | (2256) all_852_2 = all_834_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1750), (2254) imply:
% 276.68/45.91 | (2257) all_939_0 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2257) implies:
% 276.68/45.91 | (2258) all_939_0 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1572), (1978) imply:
% 276.68/45.91 | (2259) all_926_3 = all_861_1
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1978), (2228) imply:
% 276.68/45.91 | (2260) all_926_3 = all_756_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2110), (2192) imply:
% 276.68/45.91 | (2261) all_907_2 = all_752_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2261) implies:
% 276.68/45.91 | (2262) all_907_2 = all_752_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1751), (2258) imply:
% 276.68/45.91 | (2263) all_933_0 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2263) implies:
% 276.68/45.91 | (2264) all_933_0 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1571), (2190) imply:
% 276.68/45.91 | (2265) all_907_2 = all_754_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2265) implies:
% 276.68/45.91 | (2266) all_907_2 = all_754_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1570), (1571) imply:
% 276.68/45.91 | (2267) all_861_1 = all_754_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2267) implies:
% 276.68/45.91 | (2268) all_861_1 = all_754_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2204), (2264) imply:
% 276.68/45.91 | (2269) all_924_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2269) implies:
% 276.68/45.91 | (2270) all_924_2 = all_748_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (1569), (2159) imply:
% 276.68/45.91 | (2271) all_861_1 = all_770_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2271) implies:
% 276.68/45.91 | (2272) all_861_1 = all_770_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2259), (2260) imply:
% 276.68/45.91 | (2273) all_861_1 = all_756_0
% 276.68/45.91 |
% 276.68/45.91 | SIMP: (2273) implies:
% 276.68/45.91 | (2274) all_861_1 = all_756_0
% 276.68/45.91 |
% 276.68/45.91 | COMBINE_EQS: (2202), (2270) imply:
% 276.68/45.91 | (2275) all_922_2 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | SIMP: (2275) implies:
% 276.68/45.92 | (2276) all_922_2 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | COMBINE_EQS: (1568), (2276) imply:
% 276.68/45.92 | (2277) all_914_2 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | SIMP: (2277) implies:
% 276.68/45.92 | (2278) all_914_2 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | COMBINE_EQS: (2235), (2278) imply:
% 276.68/45.92 | (2279) all_912_3 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | SIMP: (2279) implies:
% 276.68/45.92 | (2280) all_912_3 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | COMBINE_EQS: (2233), (2280) imply:
% 276.68/45.92 | (2281) all_905_2 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | SIMP: (2281) implies:
% 276.68/45.92 | (2282) all_905_2 = all_748_0
% 276.68/45.92 |
% 276.68/45.92 | COMBINE_EQS: (2262), (2266) imply:
% 276.68/45.92 | (2283) all_754_0 = all_752_0
% 276.68/45.92 |
% 276.68/45.92 | SIMP: (2283) implies:
% 276.68/45.92 | (2284) all_754_0 = all_752_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1567), (2282) imply:
% 276.70/45.92 | (2285) all_883_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2285) implies:
% 276.70/45.92 | (2286) all_883_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2178), (2252) imply:
% 276.70/45.92 | (2287) all_856_0 = all_787_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2287) implies:
% 276.70/45.92 | (2288) all_856_0 = all_787_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1462), (1463) imply:
% 276.70/45.92 | (2289) all_863_2 = all_789_1
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2289) implies:
% 276.70/45.92 | (2290) all_863_2 = all_789_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1463), (2133) imply:
% 276.70/45.92 | (2291) all_789_1 = all_774_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1563), (1566) imply:
% 276.70/45.92 | (2292) all_865_1 = all_760_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1563), (1565) imply:
% 276.70/45.92 | (2293) all_865_1 = all_762_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1563), (1564) imply:
% 276.70/45.92 | (2294) all_865_1 = all_766_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1692), (1693) imply:
% 276.70/45.92 | (2295) all_873_2 = all_859_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1562), (2286) imply:
% 276.70/45.92 | (2296) all_881_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2296) implies:
% 276.70/45.92 | (2297) all_881_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1561), (2297) imply:
% 276.70/45.92 | (2298) all_873_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2298) implies:
% 276.70/45.92 | (2299) all_873_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2249), (2250) imply:
% 276.70/45.92 | (2300) all_875_0 = all_810_1
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2300) implies:
% 276.70/45.92 | (2301) all_875_0 = all_810_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1460), (1461) imply:
% 276.70/45.92 | (2302) all_867_0 = all_863_2
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1460), (2301) imply:
% 276.70/45.92 | (2303) all_867_0 = all_810_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1560), (2299) imply:
% 276.70/45.92 | (2304) all_768_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2304) implies:
% 276.70/45.92 | (2305) all_768_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2302), (2303) imply:
% 276.70/45.92 | (2306) all_863_2 = all_810_1
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2306) implies:
% 276.70/45.92 | (2307) all_863_2 = all_810_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2292), (2293) imply:
% 276.70/45.92 | (2308) all_762_0 = all_760_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2293), (2294) imply:
% 276.70/45.92 | (2309) all_766_0 = all_762_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2309) implies:
% 276.70/45.92 | (2310) all_766_0 = all_762_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1370), (1371) imply:
% 276.70/45.92 | (2311) all_861_2 = all_852_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1673), (1674) imply:
% 276.70/45.92 | (2312) all_817_0 = all_779_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2312) implies:
% 276.70/45.92 | (2313) all_817_0 = all_779_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2224), (2290) imply:
% 276.70/45.92 | (2314) all_815_1 = all_789_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1459), (2224) imply:
% 276.70/45.92 | (2315) all_815_1 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2224), (2307) imply:
% 276.70/45.92 | (2316) all_815_1 = all_810_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2268), (2272) imply:
% 276.70/45.92 | (2317) all_770_0 = all_754_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1559), (2272) imply:
% 276.70/45.92 | (2318) all_770_0 = all_758_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2272), (2274) imply:
% 276.70/45.92 | (2319) all_770_0 = all_756_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1393), (2256) imply:
% 276.70/45.92 | (2320) all_840_1 = all_834_1
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2320) implies:
% 276.70/45.92 | (2321) all_840_1 = all_834_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1392), (2321) imply:
% 276.70/45.92 | (2322) all_834_1 = all_806_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2017), (2321) imply:
% 276.70/45.92 | (2323) all_834_1 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2322), (2323) imply:
% 276.70/45.92 | (2324) all_806_1 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2324) implies:
% 276.70/45.92 | (2325) all_806_1 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1671), (1672) imply:
% 276.70/45.92 | (2326) all_787_1 = zero_zero_int
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1671), (2313) imply:
% 276.70/45.92 | (2327) all_787_1 = all_779_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2314), (2316) imply:
% 276.70/45.92 | (2328) all_810_1 = all_789_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2315), (2316) imply:
% 276.70/45.92 | (2329) all_810_1 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2328), (2329) imply:
% 276.70/45.92 | (2330) all_789_1 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2330) implies:
% 276.70/45.92 | (2331) all_789_1 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1454), (2100) imply:
% 276.70/45.92 | (2332) all_804_1 = all_791_1
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2332) implies:
% 276.70/45.92 | (2333) all_804_1 = all_791_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1391), (2325) imply:
% 276.70/45.92 | (2334) all_795_1 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2334) implies:
% 276.70/45.92 | (2335) all_795_1 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2291), (2331) imply:
% 276.70/45.92 | (2336) all_774_1 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2336) implies:
% 276.70/45.92 | (2337) all_774_1 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2326), (2327) imply:
% 276.70/45.92 | (2338) all_779_0 = zero_zero_int
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2131), (2337) imply:
% 276.70/45.92 | (2339) all_746_0 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2339) implies:
% 276.70/45.92 | (2340) all_746_0 = all_744_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2318), (2319) imply:
% 276.70/45.92 | (2341) all_758_0 = all_756_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2341) implies:
% 276.70/45.92 | (2342) all_758_0 = all_756_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2317), (2319) imply:
% 276.70/45.92 | (2343) all_756_0 = all_754_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1558), (2305) imply:
% 276.70/45.92 | (2344) all_766_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2344) implies:
% 276.70/45.92 | (2345) all_766_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2310), (2345) imply:
% 276.70/45.92 | (2346) all_762_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2346) implies:
% 276.70/45.92 | (2347) all_762_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2308), (2347) imply:
% 276.70/45.92 | (2348) all_760_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2348) implies:
% 276.70/45.92 | (2349) all_760_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1557), (2349) imply:
% 276.70/45.92 | (2350) all_758_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2350) implies:
% 276.70/45.92 | (2351) all_758_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2342), (2351) imply:
% 276.70/45.92 | (2352) all_756_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2352) implies:
% 276.70/45.92 | (2353) all_756_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2343), (2353) imply:
% 276.70/45.92 | (2354) all_754_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2354) implies:
% 276.70/45.92 | (2355) all_754_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2284), (2355) imply:
% 276.70/45.92 | (2356) all_752_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | SIMP: (2356) implies:
% 276.70/45.92 | (2357) all_752_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2319), (2353) imply:
% 276.70/45.92 | (2358) all_770_0 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2256), (2323) imply:
% 276.70/45.92 | (2359) all_852_2 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2272), (2358) imply:
% 276.70/45.92 | (2360) all_861_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1674), (2338) imply:
% 276.70/45.92 | (2361) all_863_1 = zero_zero_int
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2293), (2347) imply:
% 276.70/45.92 | (2362) all_865_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1563), (2362) imply:
% 276.70/45.92 | (2363) all_885_1 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2262), (2357) imply:
% 276.70/45.92 | (2364) all_907_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2260), (2353) imply:
% 276.70/45.92 | (2365) all_926_3 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2110), (2357) imply:
% 276.70/45.92 | (2366) all_942_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1978), (2365) imply:
% 276.70/45.92 | (2367) all_944_3 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2226), (2323) imply:
% 276.70/45.92 | (2368) all_953_3 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2188), (2353) imply:
% 276.70/45.92 | (2369) all_987_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1942), (2280) imply:
% 276.70/45.92 | (2370) all_1032_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1583), (2270) imply:
% 276.70/45.92 | (2371) all_1058_3 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1587), (2364) imply:
% 276.70/45.92 | (2372) all_1079_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2047), (2353) imply:
% 276.70/45.92 | (2373) all_1085_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2157), (2288) imply:
% 276.70/45.92 | (2374) all_1105_6 = all_787_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2128), (2358) imply:
% 276.70/45.92 | (2375) all_1125_5 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1594), (2358) imply:
% 276.70/45.92 | (2376) all_1172_6 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (2087), (2368) imply:
% 276.70/45.92 | (2377) all_1174_7 = all_793_1
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1596), (2199) imply:
% 276.70/45.92 | (2378) all_1174_6 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1705), (2357) imply:
% 276.70/45.92 | (2379) all_1194_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1956), (2353) imply:
% 276.70/45.92 | (2380) all_1376_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1903), (2043) imply:
% 276.70/45.92 | (2381) all_1438_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1948), (2365) imply:
% 276.70/45.92 | (2382) all_1510_8 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1908), (2366) imply:
% 276.70/45.92 | (2383) all_1535_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1823), (2353) imply:
% 276.70/45.92 | (2384) all_1538_9 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1875), (2374) imply:
% 276.70/45.92 | (2385) all_1538_2 = all_787_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1940), (2365) imply:
% 276.70/45.92 | (2386) all_1549_2 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1618), (2280) imply:
% 276.70/45.92 | (2387) all_1552_9 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1846), (2365) imply:
% 276.70/45.92 | (2388) all_1566_4 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1891), (2211) imply:
% 276.70/45.92 | (2389) all_1593_11 = all_948_2
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1625), (2383) imply:
% 276.70/45.92 | (2390) all_1604_3 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1886), (2043) imply:
% 276.70/45.92 | (2391) all_1616_5 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1854), (2211) imply:
% 276.70/45.92 | (2392) all_1643_11 = all_948_2
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1632), (1974) imply:
% 276.70/45.92 | (2393) all_1643_9 = all_748_0
% 276.70/45.92 |
% 276.70/45.92 | COMBINE_EQS: (1852), (2043) imply:
% 276.70/45.92 | (2394) all_1645_3 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1636), (2149) imply:
% 276.70/45.93 | (2395) all_1660_10 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1850), (2211) imply:
% 276.70/45.93 | (2396) all_1708_11 = all_948_2
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1831), (2043) imply:
% 276.70/45.93 | (2397) all_1708_8 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1753), (2211) imply:
% 276.70/45.93 | (2398) all_1713_11 = all_948_2
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1748), (2043) imply:
% 276.70/45.93 | (2399) all_1736_12 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1817), (2353) imply:
% 276.70/45.93 | (2400) all_1744_2 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1801), (2353) imply:
% 276.70/45.93 | (2401) all_1746_2 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1652), (2353) imply:
% 276.70/45.93 | (2402) all_1774_11 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1738), (2366) imply:
% 276.70/45.93 | (2403) all_1835_12 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1746), (2211) imply:
% 276.70/45.93 | (2404) all_1835_1 = all_948_2
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1658), (2258) imply:
% 276.70/45.93 | (2405) all_1843_2 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1732), (2043) imply:
% 276.70/45.93 | (2406) all_1846_15 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1380), (2211) imply:
% 276.70/45.93 | (2407) all_1846_8 = all_948_2
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1717), (2366) imply:
% 276.70/45.93 | (2408) all_1863_2 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1663), (2043) imply:
% 276.70/45.93 | (2409) all_1872_5 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1715), (2365) imply:
% 276.70/45.93 | (2410) all_1878_5 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1666), (2366) imply:
% 276.70/45.93 | (2411) all_1905_2 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1668), (2365) imply:
% 276.70/45.93 | (2412) all_1908_2 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | COMBINE_EQS: (1670), (2357) imply:
% 276.70/45.93 | (2413) all_1920_11 = all_748_0
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (591), (2374) imply:
% 276.70/45.93 | (2414) legendre(all_787_0, all_1105_0) = one_one_int
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (392), (1371) imply:
% 276.70/45.93 | (2415) number_number_of_int(all_865_0) = all_852_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1214), (2413) imply:
% 276.70/45.93 | (2416) bit0(all_748_0) = all_1920_10
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1200), (2412) imply:
% 276.70/45.93 | (2417) bit0(all_748_0) = all_1908_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1196), (2411) imply:
% 276.70/45.93 | (2418) bit0(all_748_0) = all_1905_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1184), (2410) imply:
% 276.70/45.93 | (2419) bit0(all_748_0) = all_1878_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1180), (2409) imply:
% 276.70/45.93 | (2420) bit0(all_748_0) = all_1872_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1172), (2408) imply:
% 276.70/45.93 | (2421) bit0(all_748_0) = all_1863_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1159), (2406) imply:
% 276.70/45.93 | (2422) bit0(all_748_0) = all_1846_14
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1152), (2405) imply:
% 276.70/45.93 | (2423) bit0(all_748_0) = all_1843_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1145), (2403) imply:
% 276.70/45.93 | (2424) bit0(all_748_0) = all_1835_11
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1115), (1655) imply:
% 276.70/45.93 | (2425) bit0(all_748_0) = all_1802_10
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1094), (1783) imply:
% 276.70/45.93 | (2426) bit0(all_748_0) = all_1779_11
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1086), (2402) imply:
% 276.70/45.93 | (2427) bit0(all_748_0) = all_1774_10
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1078), (1799) imply:
% 276.70/45.93 | (2428) bit0(all_748_0) = all_1772_7
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1060), (2401) imply:
% 276.70/45.93 | (2429) bit0(all_748_0) = all_1746_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1055), (2400) imply:
% 276.70/45.93 | (2430) bit0(all_748_0) = all_1744_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1043), (2399) imply:
% 276.70/45.93 | (2431) bit0(all_748_0) = all_1736_11
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1030), (1833) imply:
% 276.70/45.93 | (2432) bit0(all_748_0) = all_1721_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1026), (1842) imply:
% 276.70/45.93 | (2433) bit0(all_748_0) = all_1718_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1017), (1844) imply:
% 276.70/45.93 | (2434) bit0(all_748_0) = all_1713_7
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (1005), (2397) imply:
% 276.70/45.93 | (2435) bit0(all_748_0) = all_1708_7
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (978), (1848) imply:
% 276.70/45.93 | (2436) bit0(all_748_0) = all_1664_10
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (969), (1873) imply:
% 276.70/45.93 | (2437) bit0(all_748_0) = all_1662_9
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (960), (2395) imply:
% 276.70/45.93 | (2438) bit0(all_748_0) = all_1660_9
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (953), (2394) imply:
% 276.70/45.93 | (2439) bit0(all_748_0) = all_1645_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (948), (2393) imply:
% 276.70/45.93 | (2440) bit0(all_748_0) = all_1643_8
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (934), (2391) imply:
% 276.70/45.93 | (2441) bit0(all_748_0) = all_1616_4
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (930), (1877) imply:
% 276.70/45.93 | (2442) bit0(all_748_0) = all_1613_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (925), (1905) imply:
% 276.70/45.93 | (2443) bit0(all_748_0) = all_1610_6
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (921), (2390) imply:
% 276.70/45.93 | (2444) bit0(all_748_0) = all_1604_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (914), (1907) imply:
% 276.70/45.93 | (2445) bit0(all_748_0) = all_1593_8
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (909), (1914) imply:
% 276.70/45.93 | (2446) bit0(all_748_0) = all_1587_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (904), (1918) imply:
% 276.70/45.93 | (2447) bit0(all_748_0) = all_1581_4
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (892), (2388) imply:
% 276.70/45.93 | (2448) bit0(all_748_0) = all_1566_3
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (877), (2387) imply:
% 276.70/45.93 | (2449) bit0(all_748_0) = all_1552_8
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (872), (2386) imply:
% 276.70/45.93 | (2450) bit0(all_748_0) = all_1549_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (868), (1934) imply:
% 276.70/45.93 | (2451) bit0(all_748_0) = all_1546_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (854), (2384) imply:
% 276.70/45.93 | (2452) bit0(all_748_0) = all_1538_8
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (850), (2383) imply:
% 276.70/45.93 | (2453) bit0(all_748_0) = all_1535_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (832), (1950) imply:
% 276.70/45.93 | (2454) bit0(all_748_0) = all_1515_8
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (822), (2382) imply:
% 276.70/45.93 | (2455) bit0(all_748_0) = all_1510_7
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (811), (1974) imply:
% 276.70/45.93 | (2456) bit0(all_748_0) = all_1498_3
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (787), (1986) imply:
% 276.70/45.93 | (2457) bit0(all_748_0) = all_1465_3
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (776), (2011) imply:
% 276.70/45.93 | (2458) bit0(all_748_0) = all_1450_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (770), (2381) imply:
% 276.70/45.93 | (2459) bit0(all_748_0) = all_1438_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (761), (2021) imply:
% 276.70/45.93 | (2460) bit0(all_748_0) = all_1429_3
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (755), (2032) imply:
% 276.70/45.93 | (2461) bit0(all_748_0) = all_1414_3
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (745), (2036) imply:
% 276.70/45.93 | (2462) bit0(all_748_0) = all_1388_7
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (739), (2380) imply:
% 276.70/45.93 | (2463) bit0(all_748_0) = all_1376_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (735), (2043) imply:
% 276.70/45.93 | (2464) bit0(all_748_0) = all_1370_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (721), (2049) imply:
% 276.70/45.93 | (2465) bit0(all_748_0) = all_1337_4
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (706), (2063) imply:
% 276.70/45.93 | (2466) bit0(all_748_0) = all_1274_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (689), (2079) imply:
% 276.70/45.93 | (2467) bit0(all_748_0) = all_1250_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (674), (2094) imply:
% 276.70/45.93 | (2468) bit0(all_748_0) = all_1209_6
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (668), (2379) imply:
% 276.70/45.93 | (2469) bit0(all_748_0) = all_1194_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (651), (2378) imply:
% 276.70/45.93 | (2470) bit0(all_748_0) = all_1174_5
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (641), (2376) imply:
% 276.70/45.93 | (2471) bit0(all_748_0) = all_1172_5
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (618), (2106) imply:
% 276.70/45.93 | (2472) bit0(all_748_0) = all_1142_3
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (607), (2375) imply:
% 276.70/45.93 | (2473) bit0(all_748_0) = all_1125_4
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (597), (2149) imply:
% 276.70/45.93 | (2474) bit0(all_748_0) = all_1113_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (585), (2169) imply:
% 276.70/45.93 | (2475) bit0(all_748_0) = all_1105_4
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (573), (2176) imply:
% 276.70/45.93 | (2476) bit0(all_748_0) = all_1091_5
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (569), (2184) imply:
% 276.70/45.93 | (2477) bit0(all_748_0) = all_1088_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (565), (2373) imply:
% 276.70/45.93 | (2478) bit0(all_748_0) = all_1085_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (561), (2372) imply:
% 276.70/45.93 | (2479) bit0(all_748_0) = all_1079_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (555), (2186) imply:
% 276.70/45.93 | (2480) bit0(all_748_0) = all_1070_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (551), (2197) imply:
% 276.70/45.93 | (2481) bit0(all_748_0) = all_1067_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (547), (2199) imply:
% 276.70/45.93 | (2482) bit0(all_748_0) = all_1061_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (543), (2371) imply:
% 276.70/45.93 | (2483) bit0(all_748_0) = all_1058_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (536), (2370) imply:
% 276.70/45.93 | (2484) bit0(all_748_0) = all_1032_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (513), (2369) imply:
% 276.70/45.93 | (2485) bit0(all_748_0) = all_987_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (507), (2201) imply:
% 276.70/45.93 | (2486) bit0(all_748_0) = all_982_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (499), (2232) imply:
% 276.70/45.93 | (2487) bit0(all_748_0) = all_978_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (495), (2239) imply:
% 276.70/45.93 | (2488) bit0(all_748_0) = all_969_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (489), (2243) imply:
% 276.70/45.93 | (2489) bit0(all_748_0) = all_963_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (480), (2248) imply:
% 276.70/45.93 | (2490) bit0(all_748_0) = all_955_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (460), (2367) imply:
% 276.70/45.93 | (2491) bit0(all_748_0) = all_944_2
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (455), (2366) imply:
% 276.70/45.93 | (2492) bit0(all_748_0) = all_942_1
% 276.70/45.93 |
% 276.70/45.93 | REDUCE: (442), (2365) imply:
% 276.70/45.94 | (2493) bit0(all_748_0) = all_926_2
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (439), (2270) imply:
% 276.70/45.94 | (2494) bit0(all_748_0) = all_924_1
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (435), (2276) imply:
% 276.70/45.94 | (2495) bit0(all_748_0) = all_922_1
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (431), (2278) imply:
% 276.70/45.94 | (2496) bit0(all_748_0) = all_914_1
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (425), (2364) imply:
% 276.70/45.94 | (2497) bit0(all_748_0) = all_907_1
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (421), (2282) imply:
% 276.70/45.94 | (2498) bit0(all_748_0) = all_905_1
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (411), (2363) imply:
% 276.70/45.94 | (2499) bit0(all_748_0) = all_885_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (408), (2286) imply:
% 276.70/45.94 | (2500) bit0(all_748_0) = all_883_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (405), (2297) imply:
% 276.70/45.94 | (2501) bit0(all_748_0) = all_881_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (397), (2299) imply:
% 276.70/45.94 | (2502) bit0(all_748_0) = all_873_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (390), (2362) imply:
% 276.70/45.94 | (2503) bit0(all_748_0) = all_865_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (381), (2360) imply:
% 276.70/45.94 | (2504) bit0(all_748_0) = all_861_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (396), (2295) imply:
% 276.70/45.94 | (2505) number_number_of_nat(all_873_0) = all_859_1
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (831), (1372) imply:
% 276.70/45.94 | (2506) hAPP_nat_int(semiri1621563631at_int, zero_zero_nat) = zero_zero_int
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (1155), (2407) imply:
% 276.70/45.94 | (2507) plus_plus_int(one_one_int, all_948_2) = all_1846_7
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (1141), (2404) imply:
% 276.70/45.94 | (2508) plus_plus_int(one_one_int, all_948_2) = all_1835_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (1013), (2398) imply:
% 276.70/45.94 | (2509) plus_plus_int(one_one_int, all_948_2) = all_1713_10
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (1001), (2396) imply:
% 276.70/45.94 | (2510) plus_plus_int(one_one_int, all_948_2) = all_1708_10
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (946), (2392) imply:
% 276.70/45.94 | (2511) plus_plus_int(one_one_int, all_948_2) = all_1643_10
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (912), (2389) imply:
% 276.70/45.94 | (2512) plus_plus_int(one_one_int, all_948_2) = all_1593_10
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (531), (1373) imply:
% 276.70/45.94 | (2513) plus_plus_int(one_one_int, all_948_2) = all_1032_4
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (475), (2211) imply:
% 276.70/45.94 | (2514) plus_plus_int(one_one_int, all_948_2) = all_953_1
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (648), (2377) imply:
% 276.70/45.94 | (2515) hAPP_int_bool(all_793_1, all_1174_1) = all_1174_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (474), (2368) imply:
% 276.70/45.94 | (2516) hAPP_int_bool(all_793_1, all_953_1) = all_953_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (384), (1459), (2361) imply:
% 276.70/45.94 | (2517) hAPP_int_bool(all_744_0, zero_zero_int) = all_863_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (372), (2359) imply:
% 276.70/45.94 | (2518) hAPP_int_bool(all_793_1, all_852_1) = all_852_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (368), (2017) imply:
% 276.70/45.94 | (2519) hAPP_int_bool(all_793_1, one_one_int) = all_840_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (1367), (2323) imply:
% 276.70/45.94 | (2520) hAPP_int_bool(all_793_1, zero_zero_int) = all_834_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (360), (2220) imply:
% 276.70/45.94 | (2521) hAPP_int_bool(all_799_1, zero_zero_int) = all_824_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (1368), (2315) imply:
% 276.70/45.94 | (2522) hAPP_int_bool(all_744_0, zero_zero_int) = all_815_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (1369), (2100) imply:
% 276.70/45.94 | (2523) hAPP_int_bool(all_791_1, zero_zero_int) = all_808_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (344), (2325) imply:
% 276.70/45.94 | (2524) hAPP_int_bool(all_793_1, min) = all_806_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (340), (2333) imply:
% 276.70/45.94 | (2525) hAPP_int_bool(all_791_1, min) = all_804_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (332), (2335) imply:
% 276.70/45.94 | (2526) hAPP_int_bool(all_793_1, one_one_int) = all_795_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (323), (2331) imply:
% 276.70/45.94 | (2527) hAPP_int_bool(all_744_0, zero_zero_int) = all_789_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (315), (2337) imply:
% 276.70/45.94 | (2528) hAPP_int_bool(all_744_0, min) = all_774_0
% 276.70/45.94 |
% 276.70/45.94 | REDUCE: (473), (2211) imply:
% 276.70/45.94 | (2529) int(all_948_2)
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (281) with all_815_0, all_863_0, zero_zero_int,
% 276.70/45.94 | all_744_0, simplifying with (2517), (2522) gives:
% 276.70/45.94 | (2530) all_863_0 = all_815_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (281) with all_789_0, all_863_0, zero_zero_int,
% 276.70/45.94 | all_744_0, simplifying with (2517), (2527) gives:
% 276.70/45.94 | (2531) all_863_0 = all_789_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (281) with all_791_0, all_808_0, zero_zero_int,
% 276.70/45.94 | all_791_1, simplifying with (326), (2523) gives:
% 276.70/45.94 | (2532) all_808_0 = all_791_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (281) with all_795_0, all_840_0, one_one_int,
% 276.70/45.94 | all_793_1, simplifying with (2519), (2526) gives:
% 276.70/45.94 | (2533) all_840_0 = all_795_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (281) with all_793_0, all_834_0, zero_zero_int,
% 276.70/45.94 | all_793_1, simplifying with (329), (2520) gives:
% 276.70/45.94 | (2534) all_834_0 = all_793_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_1643_10, all_1708_10, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (2510), (2511) gives:
% 276.70/45.94 | (2535) all_1708_10 = all_1643_10
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_1708_10, all_1713_10, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (2509), (2510) gives:
% 276.70/45.94 | (2536) all_1713_10 = all_1708_10
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_1032_4, all_1713_10, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (2509), (2513) gives:
% 276.70/45.94 | (2537) all_1713_10 = all_1032_4
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_948_1, all_1835_0, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (468), (2508) gives:
% 276.70/45.94 | (2538) all_1835_0 = all_948_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_1643_10, all_1835_0, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (2508), (2511) gives:
% 276.70/45.94 | (2539) all_1835_0 = all_1643_10
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_1593_10, all_1835_0, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (2508), (2512) gives:
% 276.70/45.94 | (2540) all_1835_0 = all_1593_10
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_1835_0, all_1846_7, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (2507), (2508) gives:
% 276.70/45.94 | (2541) all_1846_7 = all_1835_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (282) with all_953_1, all_1846_7, all_948_2,
% 276.70/45.94 | one_one_int, simplifying with (2507), (2514) gives:
% 276.70/45.94 | (2542) all_1846_7 = all_953_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_865_0, all_873_0, all_748_0,
% 276.70/45.94 | simplifying with (2502), (2503) gives:
% 276.70/45.94 | (2543) all_873_0 = all_865_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_873_0, all_881_0, all_748_0,
% 276.70/45.94 | simplifying with (2501), (2502) gives:
% 276.70/45.94 | (2544) all_881_0 = all_873_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_881_0, all_883_0, all_748_0,
% 276.70/45.94 | simplifying with (2500), (2501) gives:
% 276.70/45.94 | (2545) all_883_0 = all_881_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_883_0, all_885_0, all_748_0,
% 276.70/45.94 | simplifying with (2499), (2500) gives:
% 276.70/45.94 | (2546) all_885_0 = all_883_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_885_0, all_905_1, all_748_0,
% 276.70/45.94 | simplifying with (2498), (2499) gives:
% 276.70/45.94 | (2547) all_905_1 = all_885_0
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_905_1, all_907_1, all_748_0,
% 276.70/45.94 | simplifying with (2497), (2498) gives:
% 276.70/45.94 | (2548) all_907_1 = all_905_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_926_2, all_942_1, all_748_0,
% 276.70/45.94 | simplifying with (2492), (2493) gives:
% 276.70/45.94 | (2549) all_942_1 = all_926_2
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_942_1, all_944_2, all_748_0,
% 276.70/45.94 | simplifying with (2491), (2492) gives:
% 276.70/45.94 | (2550) all_944_2 = all_942_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_926_2, all_963_1, all_748_0,
% 276.70/45.94 | simplifying with (2489), (2493) gives:
% 276.70/45.94 | (2551) all_963_1 = all_926_2
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_922_1, all_963_1, all_748_0,
% 276.70/45.94 | simplifying with (2489), (2495) gives:
% 276.70/45.94 | (2552) all_963_1 = all_922_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_922_1, all_978_2, all_748_0,
% 276.70/45.94 | simplifying with (2487), (2495) gives:
% 276.70/45.94 | (2553) all_978_2 = all_922_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_914_1, all_978_2, all_748_0,
% 276.70/45.94 | simplifying with (2487), (2496) gives:
% 276.70/45.94 | (2554) all_978_2 = all_914_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_907_1, all_978_2, all_748_0,
% 276.70/45.94 | simplifying with (2487), (2497) gives:
% 276.70/45.94 | (2555) all_978_2 = all_907_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1032_1, all_1058_2, all_748_0,
% 276.70/45.94 | simplifying with (2483), (2484) gives:
% 276.70/45.94 | (2556) all_1058_2 = all_1032_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1058_2, all_1061_2, all_748_0,
% 276.70/45.94 | simplifying with (2482), (2483) gives:
% 276.70/45.94 | (2557) all_1061_2 = all_1058_2
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1061_2, all_1067_1, all_748_0,
% 276.70/45.94 | simplifying with (2481), (2482) gives:
% 276.70/45.94 | (2558) all_1067_1 = all_1061_2
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_982_2, all_1085_1, all_748_0,
% 276.70/45.94 | simplifying with (2478), (2486) gives:
% 276.70/45.94 | (2559) all_1085_1 = all_982_2
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_963_1, all_1085_1, all_748_0,
% 276.70/45.94 | simplifying with (2478), (2489) gives:
% 276.70/45.94 | (2560) all_1085_1 = all_963_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1091_5, all_1105_4, all_748_0,
% 276.70/45.94 | simplifying with (2475), (2476) gives:
% 276.70/45.94 | (2561) all_1105_4 = all_1091_5
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1105_4, all_1113_2, all_748_0,
% 276.70/45.94 | simplifying with (2474), (2475) gives:
% 276.70/45.94 | (2562) all_1113_2 = all_1105_4
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1032_1, all_1125_4, all_748_0,
% 276.70/45.94 | simplifying with (2473), (2484) gives:
% 276.70/45.94 | (2563) all_1125_4 = all_1032_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1091_5, all_1172_5, all_748_0,
% 276.70/45.94 | simplifying with (2471), (2476) gives:
% 276.70/45.94 | (2564) all_1172_5 = all_1091_5
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1088_1, all_1172_5, all_748_0,
% 276.70/45.94 | simplifying with (2471), (2477) gives:
% 276.70/45.94 | (2565) all_1172_5 = all_1088_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1079_1, all_1172_5, all_748_0,
% 276.70/45.94 | simplifying with (2471), (2479) gives:
% 276.70/45.94 | (2566) all_1172_5 = all_1079_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1250_1, all_1274_1, all_748_0,
% 276.70/45.94 | simplifying with (2466), (2467) gives:
% 276.70/45.94 | (2567) all_1274_1 = all_1250_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1250_1, all_1337_4, all_748_0,
% 276.70/45.94 | simplifying with (2465), (2467) gives:
% 276.70/45.94 | (2568) all_1337_4 = all_1250_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1337_4, all_1370_1, all_748_0,
% 276.70/45.94 | simplifying with (2464), (2465) gives:
% 276.70/45.94 | (2569) all_1370_1 = all_1337_4
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1085_1, all_1376_1, all_748_0,
% 276.70/45.94 | simplifying with (2463), (2478) gives:
% 276.70/45.94 | (2570) all_1376_1 = all_1085_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1438_1, all_1465_3, all_748_0,
% 276.70/45.94 | simplifying with (2457), (2459) gives:
% 276.70/45.94 | (2571) all_1465_3 = all_1438_1
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1465_3, all_1498_3, all_748_0,
% 276.70/45.94 | simplifying with (2456), (2457) gives:
% 276.70/45.94 | (2572) all_1498_3 = all_1465_3
% 276.70/45.94 |
% 276.70/45.94 | GROUND_INST: instantiating (278) with all_1414_3, all_1510_7, all_748_0,
% 276.70/45.94 | simplifying with (2455), (2461) gives:
% 276.70/45.95 | (2573) all_1510_7 = all_1414_3
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1498_3, all_1515_8, all_748_0,
% 276.70/45.95 | simplifying with (2454), (2456) gives:
% 276.70/45.95 | (2574) all_1515_8 = all_1498_3
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1515_8, all_1535_1, all_748_0,
% 276.70/45.95 | simplifying with (2453), (2454) gives:
% 276.70/45.95 | (2575) all_1535_1 = all_1515_8
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1535_1, all_1538_8, all_748_0,
% 276.70/45.95 | simplifying with (2452), (2453) gives:
% 276.70/45.95 | (2576) all_1538_8 = all_1535_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1538_8, all_1546_1, all_748_0,
% 276.70/45.95 | simplifying with (2451), (2452) gives:
% 276.70/45.95 | (2577) all_1546_1 = all_1538_8
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1510_7, all_1549_1, all_748_0,
% 276.70/45.95 | simplifying with (2450), (2455) gives:
% 276.70/45.95 | (2578) all_1549_1 = all_1510_7
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1546_1, all_1552_8, all_748_0,
% 276.70/45.95 | simplifying with (2449), (2451) gives:
% 276.70/45.95 | (2579) all_1552_8 = all_1546_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1376_1, all_1566_3, all_748_0,
% 276.70/45.95 | simplifying with (2448), (2463) gives:
% 276.70/45.95 | (2580) all_1566_3 = all_1376_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1566_3, all_1604_2, all_748_0,
% 276.70/45.95 | simplifying with (2444), (2448) gives:
% 276.70/45.95 | (2581) all_1604_2 = all_1566_3
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1593_8, all_1610_6, all_748_0,
% 276.70/45.95 | simplifying with (2443), (2445) gives:
% 276.70/45.95 | (2582) all_1610_6 = all_1593_8
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1604_2, all_1613_2, all_748_0,
% 276.70/45.95 | simplifying with (2442), (2444) gives:
% 276.70/45.95 | (2583) all_1613_2 = all_1604_2
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1032_1, all_1616_4, all_748_0,
% 276.70/45.95 | simplifying with (2441), (2484) gives:
% 276.70/45.95 | (2584) all_1616_4 = all_1032_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_969_1, all_1616_4, all_748_0,
% 276.70/45.95 | simplifying with (2441), (2488) gives:
% 276.70/45.95 | (2585) all_1616_4 = all_969_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1549_1, all_1643_8, all_748_0,
% 276.70/45.95 | simplifying with (2440), (2450) gives:
% 276.70/45.95 | (2586) all_1643_8 = all_1549_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1125_4, all_1645_2, all_748_0,
% 276.70/45.95 | simplifying with (2439), (2473) gives:
% 276.70/45.95 | (2587) all_1645_2 = all_1125_4
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1593_8, all_1662_9, all_748_0,
% 276.70/45.95 | simplifying with (2437), (2445) gives:
% 276.70/45.95 | (2588) all_1662_9 = all_1593_8
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1587_1, all_1662_9, all_748_0,
% 276.70/45.95 | simplifying with (2437), (2446) gives:
% 276.70/45.95 | (2589) all_1662_9 = all_1587_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1581_4, all_1662_9, all_748_0,
% 276.70/45.95 | simplifying with (2437), (2447) gives:
% 276.70/45.95 | (2590) all_1662_9 = all_1581_4
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1552_8, all_1662_9, all_748_0,
% 276.70/45.95 | simplifying with (2437), (2449) gives:
% 276.70/45.95 | (2591) all_1662_9 = all_1552_8
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1643_8, all_1664_10, all_748_0,
% 276.70/45.95 | simplifying with (2436), (2440) gives:
% 276.70/45.95 | (2592) all_1664_10 = all_1643_8
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1079_1, all_1708_7, all_748_0,
% 276.70/45.95 | simplifying with (2435), (2479) gives:
% 276.70/45.95 | (2593) all_1708_7 = all_1079_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1070_1, all_1708_7, all_748_0,
% 276.70/45.95 | simplifying with (2435), (2480) gives:
% 276.70/45.95 | (2594) all_1708_7 = all_1070_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1067_1, all_1708_7, all_748_0,
% 276.70/45.95 | simplifying with (2435), (2481) gives:
% 276.70/45.95 | (2595) all_1708_7 = all_1067_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1645_2, all_1713_7, all_748_0,
% 276.70/45.95 | simplifying with (2434), (2439) gives:
% 276.70/45.95 | (2596) all_1713_7 = all_1645_2
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1610_6, all_1718_1, all_748_0,
% 276.70/45.95 | simplifying with (2433), (2443) gives:
% 276.70/45.95 | (2597) all_1718_1 = all_1610_6
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1613_2, all_1721_1, all_748_0,
% 276.70/45.95 | simplifying with (2432), (2442) gives:
% 276.70/45.95 | (2598) all_1721_1 = all_1613_2
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1718_1, all_1736_11, all_748_0,
% 276.70/45.95 | simplifying with (2431), (2433) gives:
% 276.70/45.95 | (2599) all_1736_11 = all_1718_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1660_9, all_1736_11, all_748_0,
% 276.70/45.95 | simplifying with (2431), (2438) gives:
% 276.70/45.95 | (2600) all_1736_11 = all_1660_9
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1174_5, all_1744_1, all_748_0,
% 276.70/45.95 | simplifying with (2430), (2470) gives:
% 276.70/45.95 | (2601) all_1744_1 = all_1174_5
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1113_2, all_1744_1, all_748_0,
% 276.70/45.95 | simplifying with (2430), (2474) gives:
% 276.70/45.95 | (2602) all_1744_1 = all_1113_2
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1721_1, all_1746_1, all_748_0,
% 276.70/45.95 | simplifying with (2429), (2432) gives:
% 276.70/45.95 | (2603) all_1746_1 = all_1721_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1746_1, all_1772_7, all_748_0,
% 276.70/45.95 | simplifying with (2428), (2429) gives:
% 276.70/45.95 | (2604) all_1772_7 = all_1746_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1744_1, all_1774_10, all_748_0,
% 276.70/45.95 | simplifying with (2427), (2430) gives:
% 276.70/45.95 | (2605) all_1774_10 = all_1744_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1142_3, all_1774_10, all_748_0,
% 276.70/45.95 | simplifying with (2427), (2472) gives:
% 276.70/45.95 | (2606) all_1774_10 = all_1142_3
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1664_10, all_1779_11, all_748_0,
% 276.70/45.95 | simplifying with (2426), (2436) gives:
% 276.70/45.95 | (2607) all_1779_11 = all_1664_10
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1209_6, all_1779_11, all_748_0,
% 276.70/45.95 | simplifying with (2426), (2468) gives:
% 276.70/45.95 | (2608) all_1779_11 = all_1209_6
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1616_4, all_1802_10, all_748_0,
% 276.70/45.95 | simplifying with (2425), (2441) gives:
% 276.70/45.95 | (2609) all_1802_10 = all_1616_4
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_955_2, all_1802_10, all_748_0,
% 276.70/45.95 | simplifying with (2425), (2490) gives:
% 276.70/45.95 | (2610) all_1802_10 = all_955_2
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_944_2, all_1802_10, all_748_0,
% 276.70/45.95 | simplifying with (2425), (2491) gives:
% 276.70/45.95 | (2611) all_1802_10 = all_944_2
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1713_7, all_1835_11, all_748_0,
% 276.70/45.95 | simplifying with (2424), (2434) gives:
% 276.70/45.95 | (2612) all_1835_11 = all_1713_7
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_861_0, all_1835_11, all_748_0,
% 276.70/45.95 | simplifying with (2424), (2504) gives:
% 276.70/45.95 | (2613) all_1835_11 = all_861_0
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1450_1, all_1843_1, all_748_0,
% 276.70/45.95 | simplifying with (2423), (2458) gives:
% 276.70/45.95 | (2614) all_1843_1 = all_1450_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1438_1, all_1843_1, all_748_0,
% 276.70/45.95 | simplifying with (2423), (2459) gives:
% 276.70/45.95 | (2615) all_1843_1 = all_1438_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1429_3, all_1843_1, all_748_0,
% 276.70/45.95 | simplifying with (2423), (2460) gives:
% 276.70/45.95 | (2616) all_1843_1 = all_1429_3
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1370_1, all_1843_1, all_748_0,
% 276.70/45.95 | simplifying with (2423), (2464) gives:
% 276.70/45.95 | (2617) all_1843_1 = all_1370_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1772_7, all_1846_14, all_748_0,
% 276.70/45.95 | simplifying with (2422), (2428) gives:
% 276.70/45.95 | (2618) all_1846_14 = all_1772_7
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1718_1, all_1863_1, all_748_0,
% 276.70/45.95 | simplifying with (2421), (2433) gives:
% 276.70/45.95 | (2619) all_1863_1 = all_1718_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_987_1, all_1863_1, all_748_0,
% 276.70/45.95 | simplifying with (2421), (2485) gives:
% 276.70/45.95 | (2620) all_1863_1 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1274_1, all_1872_1, all_748_0,
% 276.70/45.95 | simplifying with (2420), (2466) gives:
% 276.70/45.95 | (2621) all_1872_1 = all_1274_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1194_1, all_1872_1, all_748_0,
% 276.70/45.95 | simplifying with (2420), (2469) gives:
% 276.70/45.95 | (2622) all_1872_1 = all_1194_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1174_5, all_1872_1, all_748_0,
% 276.70/45.95 | simplifying with (2420), (2470) gives:
% 276.70/45.95 | (2623) all_1872_1 = all_1174_5
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1846_14, all_1905_1, all_748_0,
% 276.70/45.95 | simplifying with (2418), (2422) gives:
% 276.70/45.95 | (2624) all_1905_1 = all_1846_14
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_924_1, all_1905_1, all_748_0,
% 276.70/45.95 | simplifying with (2418), (2494) gives:
% 276.70/45.95 | (2625) all_1905_1 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1414_3, all_1908_1, all_748_0,
% 276.70/45.95 | simplifying with (2417), (2461) gives:
% 276.70/45.95 | (2626) all_1908_1 = all_1414_3
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1388_7, all_1908_1, all_748_0,
% 276.70/45.95 | simplifying with (2417), (2462) gives:
% 276.70/45.95 | (2627) all_1908_1 = all_1388_7
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1274_1, all_1908_1, all_748_0,
% 276.70/45.95 | simplifying with (2417), (2466) gives:
% 276.70/45.95 | (2628) all_1908_1 = all_1274_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1905_1, all_1920_10, all_748_0,
% 276.70/45.95 | simplifying with (2416), (2418) gives:
% 276.70/45.95 | (2629) all_1920_10 = all_1905_1
% 276.70/45.95 |
% 276.70/45.95 | GROUND_INST: instantiating (278) with all_1878_1, all_1920_10, all_748_0,
% 276.70/45.95 | simplifying with (2416), (2419) gives:
% 276.70/45.95 | (2630) all_1920_10 = all_1878_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2629), (2630) imply:
% 276.70/45.95 | (2631) all_1905_1 = all_1878_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2631) implies:
% 276.70/45.95 | (2632) all_1905_1 = all_1878_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2627), (2628) imply:
% 276.70/45.95 | (2633) all_1388_7 = all_1274_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2626), (2627) imply:
% 276.70/45.95 | (2634) all_1414_3 = all_1388_7
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2634) implies:
% 276.70/45.95 | (2635) all_1414_3 = all_1388_7
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2625), (2632) imply:
% 276.70/45.95 | (2636) all_1878_1 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2624), (2632) imply:
% 276.70/45.95 | (2637) all_1878_1 = all_1846_14
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2636), (2637) imply:
% 276.70/45.95 | (2638) all_1846_14 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2638) implies:
% 276.70/45.95 | (2639) all_1846_14 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2621), (2622) imply:
% 276.70/45.95 | (2640) all_1274_1 = all_1194_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2640) implies:
% 276.70/45.95 | (2641) all_1274_1 = all_1194_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2622), (2623) imply:
% 276.70/45.95 | (2642) all_1194_1 = all_1174_5
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2619), (2620) imply:
% 276.70/45.95 | (2643) all_1718_1 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2643) implies:
% 276.70/45.95 | (2644) all_1718_1 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2541), (2542) imply:
% 276.70/45.95 | (2645) all_1835_0 = all_953_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2645) implies:
% 276.70/45.95 | (2646) all_1835_0 = all_953_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2618), (2639) imply:
% 276.70/45.95 | (2647) all_1772_7 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2647) implies:
% 276.70/45.95 | (2648) all_1772_7 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2614), (2616) imply:
% 276.70/45.95 | (2649) all_1450_1 = all_1429_3
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2614), (2615) imply:
% 276.70/45.95 | (2650) all_1450_1 = all_1438_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2614), (2617) imply:
% 276.70/45.95 | (2651) all_1450_1 = all_1370_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2539), (2540) imply:
% 276.70/45.95 | (2652) all_1643_10 = all_1593_10
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2652) implies:
% 276.70/45.95 | (2653) all_1643_10 = all_1593_10
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2538), (2540) imply:
% 276.70/45.95 | (2654) all_1593_10 = all_948_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2540), (2646) imply:
% 276.70/45.95 | (2655) all_1593_10 = all_953_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2612), (2613) imply:
% 276.70/45.95 | (2656) all_1713_7 = all_861_0
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2656) implies:
% 276.70/45.95 | (2657) all_1713_7 = all_861_0
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2610), (2611) imply:
% 276.70/45.95 | (2658) all_955_2 = all_944_2
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2609), (2610) imply:
% 276.70/45.95 | (2659) all_1616_4 = all_955_2
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2659) implies:
% 276.70/45.95 | (2660) all_1616_4 = all_955_2
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2607), (2608) imply:
% 276.70/45.95 | (2661) all_1664_10 = all_1209_6
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2661) implies:
% 276.70/45.95 | (2662) all_1664_10 = all_1209_6
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2605), (2606) imply:
% 276.70/45.95 | (2663) all_1744_1 = all_1142_3
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2663) implies:
% 276.70/45.95 | (2664) all_1744_1 = all_1142_3
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2604), (2648) imply:
% 276.70/45.95 | (2665) all_1746_1 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2665) implies:
% 276.70/45.95 | (2666) all_1746_1 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2603), (2666) imply:
% 276.70/45.95 | (2667) all_1721_1 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2667) implies:
% 276.70/45.95 | (2668) all_1721_1 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2602), (2664) imply:
% 276.70/45.95 | (2669) all_1142_3 = all_1113_2
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2601), (2664) imply:
% 276.70/45.95 | (2670) all_1174_5 = all_1142_3
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2670) implies:
% 276.70/45.95 | (2671) all_1174_5 = all_1142_3
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2599), (2600) imply:
% 276.70/45.95 | (2672) all_1718_1 = all_1660_9
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2672) implies:
% 276.70/45.95 | (2673) all_1718_1 = all_1660_9
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2598), (2668) imply:
% 276.70/45.95 | (2674) all_1613_2 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2674) implies:
% 276.70/45.95 | (2675) all_1613_2 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2597), (2673) imply:
% 276.70/45.95 | (2676) all_1660_9 = all_1610_6
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2644), (2673) imply:
% 276.70/45.95 | (2677) all_1660_9 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2596), (2657) imply:
% 276.70/45.95 | (2678) all_1645_2 = all_861_0
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2678) implies:
% 276.70/45.95 | (2679) all_1645_2 = all_861_0
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2536), (2537) imply:
% 276.70/45.95 | (2680) all_1708_10 = all_1032_4
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2680) implies:
% 276.70/45.95 | (2681) all_1708_10 = all_1032_4
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2593), (2594) imply:
% 276.70/45.95 | (2682) all_1079_1 = all_1070_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2682) implies:
% 276.70/45.95 | (2683) all_1079_1 = all_1070_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2594), (2595) imply:
% 276.70/45.95 | (2684) all_1070_1 = all_1067_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2535), (2681) imply:
% 276.70/45.95 | (2685) all_1643_10 = all_1032_4
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2685) implies:
% 276.70/45.95 | (2686) all_1643_10 = all_1032_4
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2592), (2662) imply:
% 276.70/45.95 | (2687) all_1643_8 = all_1209_6
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2687) implies:
% 276.70/45.95 | (2688) all_1643_8 = all_1209_6
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2588), (2589) imply:
% 276.70/45.95 | (2689) all_1593_8 = all_1587_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2689) implies:
% 276.70/45.95 | (2690) all_1593_8 = all_1587_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2589), (2591) imply:
% 276.70/45.95 | (2691) all_1587_1 = all_1552_8
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2589), (2590) imply:
% 276.70/45.95 | (2692) all_1587_1 = all_1581_4
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2676), (2677) imply:
% 276.70/45.95 | (2693) all_1610_6 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2693) implies:
% 276.70/45.95 | (2694) all_1610_6 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2587), (2679) imply:
% 276.70/45.95 | (2695) all_1125_4 = all_861_0
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2695) implies:
% 276.70/45.95 | (2696) all_1125_4 = all_861_0
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2586), (2688) imply:
% 276.70/45.95 | (2697) all_1549_1 = all_1209_6
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2697) implies:
% 276.70/45.95 | (2698) all_1549_1 = all_1209_6
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2653), (2686) imply:
% 276.70/45.95 | (2699) all_1593_10 = all_1032_4
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2699) implies:
% 276.70/45.95 | (2700) all_1593_10 = all_1032_4
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2585), (2660) imply:
% 276.70/45.95 | (2701) all_969_1 = all_955_2
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2584), (2585) imply:
% 276.70/45.95 | (2702) all_1032_1 = all_969_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2702) implies:
% 276.70/45.95 | (2703) all_1032_1 = all_969_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2583), (2675) imply:
% 276.70/45.95 | (2704) all_1604_2 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2704) implies:
% 276.70/45.95 | (2705) all_1604_2 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2582), (2694) imply:
% 276.70/45.95 | (2706) all_1593_8 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2706) implies:
% 276.70/45.95 | (2707) all_1593_8 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2581), (2705) imply:
% 276.70/45.95 | (2708) all_1566_3 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2708) implies:
% 276.70/45.95 | (2709) all_1566_3 = all_924_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2690), (2707) imply:
% 276.70/45.95 | (2710) all_1587_1 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | SIMP: (2710) implies:
% 276.70/45.95 | (2711) all_1587_1 = all_987_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2654), (2700) imply:
% 276.70/45.95 | (2712) all_1032_4 = all_948_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2655), (2700) imply:
% 276.70/45.95 | (2713) all_1032_4 = all_953_1
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2691), (2692) imply:
% 276.70/45.95 | (2714) all_1581_4 = all_1552_8
% 276.70/45.95 |
% 276.70/45.95 | COMBINE_EQS: (2692), (2711) imply:
% 276.70/45.95 | (2715) all_1581_4 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2714), (2715) imply:
% 276.70/45.96 | (2716) all_1552_8 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2716) implies:
% 276.70/45.96 | (2717) all_1552_8 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2580), (2709) imply:
% 276.70/45.96 | (2718) all_1376_1 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2718) implies:
% 276.70/45.96 | (2719) all_1376_1 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2579), (2717) imply:
% 276.70/45.96 | (2720) all_1546_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2720) implies:
% 276.70/45.96 | (2721) all_1546_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2578), (2698) imply:
% 276.70/45.96 | (2722) all_1510_7 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2722) implies:
% 276.70/45.96 | (2723) all_1510_7 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2577), (2721) imply:
% 276.70/45.96 | (2724) all_1538_8 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2724) implies:
% 276.70/45.96 | (2725) all_1538_8 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2576), (2725) imply:
% 276.70/45.96 | (2726) all_1535_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2726) implies:
% 276.70/45.96 | (2727) all_1535_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2575), (2727) imply:
% 276.70/45.96 | (2728) all_1515_8 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2728) implies:
% 276.70/45.96 | (2729) all_1515_8 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2574), (2729) imply:
% 276.70/45.96 | (2730) all_1498_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2730) implies:
% 276.70/45.96 | (2731) all_1498_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2573), (2723) imply:
% 276.70/45.96 | (2732) all_1414_3 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2732) implies:
% 276.70/45.96 | (2733) all_1414_3 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2572), (2731) imply:
% 276.70/45.96 | (2734) all_1465_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2734) implies:
% 276.70/45.96 | (2735) all_1465_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2571), (2735) imply:
% 276.70/45.96 | (2736) all_1438_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2736) implies:
% 276.70/45.96 | (2737) all_1438_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2649), (2651) imply:
% 276.70/45.96 | (2738) all_1429_3 = all_1370_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2649), (2650) imply:
% 276.70/45.96 | (2739) all_1438_1 = all_1429_3
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2739) implies:
% 276.70/45.96 | (2740) all_1438_1 = all_1429_3
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2737), (2740) imply:
% 276.70/45.96 | (2741) all_1429_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2741) implies:
% 276.70/45.96 | (2742) all_1429_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2738), (2742) imply:
% 276.70/45.96 | (2743) all_1370_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2743) implies:
% 276.70/45.96 | (2744) all_1370_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2635), (2733) imply:
% 276.70/45.96 | (2745) all_1388_7 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2745) implies:
% 276.70/45.96 | (2746) all_1388_7 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2633), (2746) imply:
% 276.70/45.96 | (2747) all_1274_1 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2747) implies:
% 276.70/45.96 | (2748) all_1274_1 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2570), (2719) imply:
% 276.70/45.96 | (2749) all_1085_1 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2749) implies:
% 276.70/45.96 | (2750) all_1085_1 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2569), (2744) imply:
% 276.70/45.96 | (2751) all_1337_4 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2751) implies:
% 276.70/45.96 | (2752) all_1337_4 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2568), (2752) imply:
% 276.70/45.96 | (2753) all_1250_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2753) implies:
% 276.70/45.96 | (2754) all_1250_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2567), (2748) imply:
% 276.70/45.96 | (2755) all_1250_1 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2755) implies:
% 276.70/45.96 | (2756) all_1250_1 = all_1209_6
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2641), (2748) imply:
% 276.70/45.96 | (2757) all_1209_6 = all_1194_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2754), (2756) imply:
% 276.70/45.96 | (2758) all_1209_6 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2758) implies:
% 276.70/45.96 | (2759) all_1209_6 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2757), (2759) imply:
% 276.70/45.96 | (2760) all_1194_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2760) implies:
% 276.70/45.96 | (2761) all_1194_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2642), (2761) imply:
% 276.70/45.96 | (2762) all_1174_5 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2762) implies:
% 276.70/45.96 | (2763) all_1174_5 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2671), (2763) imply:
% 276.70/45.96 | (2764) all_1142_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2764) implies:
% 276.70/45.96 | (2765) all_1142_3 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2564), (2565) imply:
% 276.70/45.96 | (2766) all_1091_5 = all_1088_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2766) implies:
% 276.70/45.96 | (2767) all_1091_5 = all_1088_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2565), (2566) imply:
% 276.70/45.96 | (2768) all_1088_1 = all_1079_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2669), (2765) imply:
% 276.70/45.96 | (2769) all_1113_2 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2769) implies:
% 276.70/45.96 | (2770) all_1113_2 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2563), (2696) imply:
% 276.70/45.96 | (2771) all_1032_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2771) implies:
% 276.70/45.96 | (2772) all_1032_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2562), (2770) imply:
% 276.70/45.96 | (2773) all_1105_4 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2773) implies:
% 276.70/45.96 | (2774) all_1105_4 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2561), (2774) imply:
% 276.70/45.96 | (2775) all_1091_5 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2775) implies:
% 276.70/45.96 | (2776) all_1091_5 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2767), (2776) imply:
% 276.70/45.96 | (2777) all_1088_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2777) implies:
% 276.70/45.96 | (2778) all_1088_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2768), (2778) imply:
% 276.70/45.96 | (2779) all_1079_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2779) implies:
% 276.70/45.96 | (2780) all_1079_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2559), (2560) imply:
% 276.70/45.96 | (2781) all_982_2 = all_963_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2559), (2750) imply:
% 276.70/45.96 | (2782) all_982_2 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2683), (2780) imply:
% 276.70/45.96 | (2783) all_1070_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2783) implies:
% 276.70/45.96 | (2784) all_1070_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2684), (2784) imply:
% 276.70/45.96 | (2785) all_1067_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2785) implies:
% 276.70/45.96 | (2786) all_1067_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2558), (2786) imply:
% 276.70/45.96 | (2787) all_1061_2 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2787) implies:
% 276.70/45.96 | (2788) all_1061_2 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2557), (2788) imply:
% 276.70/45.96 | (2789) all_1058_2 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2789) implies:
% 276.70/45.96 | (2790) all_1058_2 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2556), (2790) imply:
% 276.70/45.96 | (2791) all_1032_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2791) implies:
% 276.70/45.96 | (2792) all_1032_1 = all_987_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2703), (2792) imply:
% 276.70/45.96 | (2793) all_987_1 = all_969_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2772), (2792) imply:
% 276.70/45.96 | (2794) all_987_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2712), (2713) imply:
% 276.70/45.96 | (2795) all_953_1 = all_948_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2793), (2794) imply:
% 276.70/45.96 | (2796) all_969_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2796) implies:
% 276.70/45.96 | (2797) all_969_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2781), (2782) imply:
% 276.70/45.96 | (2798) all_963_1 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2798) implies:
% 276.70/45.96 | (2799) all_963_1 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2554), (2555) imply:
% 276.70/45.96 | (2800) all_914_1 = all_907_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2553), (2554) imply:
% 276.70/45.96 | (2801) all_922_1 = all_914_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2801) implies:
% 276.70/45.96 | (2802) all_922_1 = all_914_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2701), (2797) imply:
% 276.70/45.96 | (2803) all_955_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2803) implies:
% 276.70/45.96 | (2804) all_955_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2551), (2799) imply:
% 276.70/45.96 | (2805) all_926_2 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2805) implies:
% 276.70/45.96 | (2806) all_926_2 = all_924_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2552), (2799) imply:
% 276.70/45.96 | (2807) all_924_1 = all_922_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2658), (2804) imply:
% 276.70/45.96 | (2808) all_944_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2808) implies:
% 276.70/45.96 | (2809) all_944_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2550), (2809) imply:
% 276.70/45.96 | (2810) all_942_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2810) implies:
% 276.70/45.96 | (2811) all_942_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2549), (2811) imply:
% 276.70/45.96 | (2812) all_926_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2812) implies:
% 276.70/45.96 | (2813) all_926_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2806), (2813) imply:
% 276.70/45.96 | (2814) all_924_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2814) implies:
% 276.70/45.96 | (2815) all_924_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2807), (2815) imply:
% 276.70/45.96 | (2816) all_922_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2816) implies:
% 276.70/45.96 | (2817) all_922_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2802), (2817) imply:
% 276.70/45.96 | (2818) all_914_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2818) implies:
% 276.70/45.96 | (2819) all_914_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2800), (2819) imply:
% 276.70/45.96 | (2820) all_907_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2820) implies:
% 276.70/45.96 | (2821) all_907_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2548), (2821) imply:
% 276.70/45.96 | (2822) all_905_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2822) implies:
% 276.70/45.96 | (2823) all_905_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2547), (2823) imply:
% 276.70/45.96 | (2824) all_885_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2824) implies:
% 276.70/45.96 | (2825) all_885_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2546), (2825) imply:
% 276.70/45.96 | (2826) all_883_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2826) implies:
% 276.70/45.96 | (2827) all_883_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2545), (2827) imply:
% 276.70/45.96 | (2828) all_881_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2828) implies:
% 276.70/45.96 | (2829) all_881_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2544), (2829) imply:
% 276.70/45.96 | (2830) all_873_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2830) implies:
% 276.70/45.96 | (2831) all_873_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2543), (2831) imply:
% 276.70/45.96 | (2832) all_865_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | SIMP: (2832) implies:
% 276.70/45.96 | (2833) all_865_0 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2530), (2531) imply:
% 276.70/45.96 | (2834) all_815_0 = all_789_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2799), (2815) imply:
% 276.70/45.96 | (2835) all_963_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2554), (2819) imply:
% 276.70/45.96 | (2836) all_978_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2782), (2815) imply:
% 276.70/45.96 | (2837) all_982_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2790), (2794) imply:
% 276.70/45.96 | (2838) all_1058_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2786), (2794) imply:
% 276.70/45.96 | (2839) all_1067_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2784), (2794) imply:
% 276.70/45.96 | (2840) all_1070_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2780), (2794) imply:
% 276.70/45.96 | (2841) all_1079_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2559), (2837) imply:
% 276.70/45.96 | (2842) all_1085_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2778), (2794) imply:
% 276.70/45.96 | (2843) all_1088_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2776), (2794) imply:
% 276.70/45.96 | (2844) all_1091_5 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2774), (2794) imply:
% 276.70/45.96 | (2845) all_1105_4 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2765), (2794) imply:
% 276.70/45.96 | (2846) all_1142_3 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2565), (2843) imply:
% 276.70/45.96 | (2847) all_1172_5 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2763), (2794) imply:
% 276.70/45.96 | (2848) all_1174_5 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2761), (2794) imply:
% 276.70/45.96 | (2849) all_1194_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2759), (2794) imply:
% 276.70/45.96 | (2850) all_1209_6 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2754), (2794) imply:
% 276.70/45.96 | (2851) all_1250_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2748), (2850) imply:
% 276.70/45.96 | (2852) all_1274_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2752), (2794) imply:
% 276.70/45.96 | (2853) all_1337_4 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2744), (2794) imply:
% 276.70/45.96 | (2854) all_1370_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2719), (2815) imply:
% 276.70/45.96 | (2855) all_1376_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2746), (2850) imply:
% 276.70/45.96 | (2856) all_1388_7 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2733), (2850) imply:
% 276.70/45.96 | (2857) all_1414_3 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2742), (2794) imply:
% 276.70/45.96 | (2858) all_1429_3 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2737), (2794) imply:
% 276.70/45.96 | (2859) all_1438_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2649), (2858) imply:
% 276.70/45.96 | (2860) all_1450_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2735), (2794) imply:
% 276.70/45.96 | (2861) all_1465_3 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2731), (2794) imply:
% 276.70/45.96 | (2862) all_1498_3 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2723), (2850) imply:
% 276.70/45.96 | (2863) all_1510_7 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2729), (2794) imply:
% 276.70/45.96 | (2864) all_1515_8 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2727), (2794) imply:
% 276.70/45.96 | (2865) all_1535_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2725), (2794) imply:
% 276.70/45.96 | (2866) all_1538_8 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2721), (2794) imply:
% 276.70/45.96 | (2867) all_1546_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2698), (2850) imply:
% 276.70/45.96 | (2868) all_1549_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2717), (2794) imply:
% 276.70/45.96 | (2869) all_1552_8 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2709), (2815) imply:
% 276.70/45.96 | (2870) all_1566_3 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2715), (2794) imply:
% 276.70/45.96 | (2871) all_1581_4 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2692), (2871) imply:
% 276.70/45.96 | (2872) all_1587_1 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2707), (2794) imply:
% 276.70/45.96 | (2873) all_1593_8 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2705), (2815) imply:
% 276.70/45.96 | (2874) all_1604_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2694), (2794) imply:
% 276.70/45.96 | (2875) all_1610_6 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2675), (2815) imply:
% 276.70/45.96 | (2876) all_1613_2 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2585), (2797) imply:
% 276.70/45.96 | (2877) all_1616_4 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2688), (2850) imply:
% 276.70/45.96 | (2878) all_1643_8 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2677), (2794) imply:
% 276.70/45.96 | (2879) all_1660_9 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2589), (2872) imply:
% 276.70/45.96 | (2880) all_1662_9 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2662), (2850) imply:
% 276.70/45.96 | (2881) all_1664_10 = all_861_0
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2681), (2712) imply:
% 276.70/45.96 | (2882) all_1708_10 = all_948_1
% 276.70/45.96 |
% 276.70/45.96 | COMBINE_EQS: (2594), (2840) imply:
% 276.70/45.96 | (2883) all_1708_7 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2537), (2712) imply:
% 276.70/45.97 | (2884) all_1713_10 = all_948_1
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2673), (2879) imply:
% 276.70/45.97 | (2885) all_1718_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2668), (2815) imply:
% 276.70/45.97 | (2886) all_1721_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2600), (2879) imply:
% 276.70/45.97 | (2887) all_1736_11 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2664), (2846) imply:
% 276.70/45.97 | (2888) all_1744_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2666), (2815) imply:
% 276.70/45.97 | (2889) all_1746_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2648), (2815) imply:
% 276.70/45.97 | (2890) all_1772_7 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2606), (2846) imply:
% 276.70/45.97 | (2891) all_1774_10 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2608), (2850) imply:
% 276.70/45.97 | (2892) all_1779_11 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2610), (2804) imply:
% 276.70/45.97 | (2893) all_1802_10 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2614), (2860) imply:
% 276.70/45.97 | (2894) all_1843_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2639), (2815) imply:
% 276.70/45.97 | (2895) all_1846_14 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2620), (2794) imply:
% 276.70/45.97 | (2896) all_1863_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2622), (2849) imply:
% 276.70/45.97 | (2897) all_1872_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2636), (2815) imply:
% 276.70/45.97 | (2898) all_1878_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2632), (2898) imply:
% 276.70/45.97 | (2899) all_1905_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2627), (2856) imply:
% 276.70/45.97 | (2900) all_1908_1 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | COMBINE_EQS: (2630), (2898) imply:
% 276.70/45.97 | (2901) all_1920_10 = all_861_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1057), (2888) imply:
% 276.70/45.97 | (2902) number_number_of_int(all_861_0) = all_1744_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (950), (2878) imply:
% 276.70/45.97 | (2903) number_number_of_int(all_861_0) = all_1643_7
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (937), (2877) imply:
% 276.70/45.97 | (2904) number_number_of_int(all_861_0) = all_1616_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (932), (2876) imply:
% 276.70/45.97 | (2905) number_number_of_int(all_861_0) = all_1613_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (927), (2875) imply:
% 276.70/45.97 | (2906) number_number_of_int(all_861_0) = all_1610_5
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (923), (2874) imply:
% 276.70/45.97 | (2907) number_number_of_int(all_861_0) = all_1604_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (916), (2873) imply:
% 276.70/45.97 | (2908) number_number_of_int(all_861_0) = all_1593_7
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (895), (2870) imply:
% 276.70/45.97 | (2909) number_number_of_int(all_861_0) = all_1566_2
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (813), (2862) imply:
% 276.70/45.97 | (2910) number_number_of_int(all_861_0) = all_1498_2
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (789), (2861) imply:
% 276.70/45.97 | (2911) number_number_of_int(all_861_0) = all_1465_2
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (724), (2853) imply:
% 276.70/45.97 | (2912) number_number_of_int(all_861_0) = all_1337_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (691), (2851) imply:
% 276.70/45.97 | (2913) number_number_of_int(all_861_0) = all_1250_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (545), (2838) imply:
% 276.70/45.97 | (2914) number_number_of_int(all_861_0) = all_1058_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (501), (2836) imply:
% 276.70/45.97 | (2915) number_number_of_int(all_861_0) = all_978_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (482), (2804) imply:
% 276.70/45.97 | (2916) number_number_of_int(all_861_0) = all_955_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (462), (2809) imply:
% 276.70/45.97 | (2917) number_number_of_int(all_861_0) = all_944_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (444), (2813) imply:
% 276.70/45.97 | (2918) number_number_of_int(all_861_0) = all_926_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (2415), (2833) imply:
% 276.70/45.97 | (2919) number_number_of_int(all_861_0) = all_852_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1215), (2901) imply:
% 276.70/45.97 | (2920) bit0(all_861_0) = all_1920_9
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1160), (2895) imply:
% 276.70/45.97 | (2921) bit0(all_861_0) = all_1846_12
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1146), (2613) imply:
% 276.70/45.97 | (2922) bit0(all_861_0) = all_1835_5
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1116), (2893) imply:
% 276.70/45.97 | (2923) bit0(all_861_0) = all_1802_9
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1095), (2892) imply:
% 276.70/45.97 | (2924) bit0(all_861_0) = all_1779_10
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1087), (2891) imply:
% 276.70/45.97 | (2925) bit0(all_861_0) = all_1774_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1079), (2890) imply:
% 276.70/45.97 | (2926) bit0(all_861_0) = all_1772_6
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1044), (2887) imply:
% 276.70/45.97 | (2927) bit0(all_861_0) = all_1736_8
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1018), (2657) imply:
% 276.70/45.97 | (2928) bit0(all_861_0) = all_1713_6
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1006), (2883) imply:
% 276.70/45.97 | (2929) bit0(all_861_0) = all_1708_6
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (979), (2881) imply:
% 276.70/45.97 | (2930) bit0(all_861_0) = all_1664_9
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (970), (2880) imply:
% 276.70/45.97 | (2931) bit0(all_861_0) = all_1662_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (961), (2879) imply:
% 276.70/45.97 | (2932) bit0(all_861_0) = all_1660_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (905), (2871) imply:
% 276.70/45.97 | (2933) bit0(all_861_0) = all_1581_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (878), (2869) imply:
% 276.70/45.97 | (2934) bit0(all_861_0) = all_1552_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (855), (2866) imply:
% 276.70/45.97 | (2935) bit0(all_861_0) = all_1538_7
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (833), (2864) imply:
% 276.70/45.97 | (2936) bit0(all_861_0) = all_1515_7
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (823), (2863) imply:
% 276.70/45.97 | (2937) bit0(all_861_0) = all_1510_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (762), (2858) imply:
% 276.70/45.97 | (2938) bit0(all_861_0) = all_1429_2
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (756), (2857) imply:
% 276.70/45.97 | (2939) bit0(all_861_0) = all_1414_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (746), (2856) imply:
% 276.70/45.97 | (2940) bit0(all_861_0) = all_1388_6
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (675), (2850) imply:
% 276.70/45.97 | (2941) bit0(all_861_0) = all_1209_5
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (652), (2848) imply:
% 276.70/45.97 | (2942) bit0(all_861_0) = all_1174_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (642), (2847) imply:
% 276.70/45.97 | (2943) bit0(all_861_0) = all_1172_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (586), (2845) imply:
% 276.70/45.97 | (2944) bit0(all_861_0) = all_1105_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (574), (2844) imply:
% 276.70/45.97 | (2945) bit0(all_861_0) = all_1091_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1199), (2900) imply:
% 276.70/45.97 | (2946) number_number_of_nat(all_861_0) = all_1908_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1195), (2899) imply:
% 276.70/45.97 | (2947) number_number_of_nat(all_861_0) = all_1905_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1183), (2898) imply:
% 276.70/45.97 | (2948) number_number_of_nat(all_861_0) = all_1878_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1179), (2897) imply:
% 276.70/45.97 | (2949) number_number_of_nat(all_861_0) = all_1872_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1171), (2896) imply:
% 276.70/45.97 | (2950) number_number_of_nat(all_861_0) = all_1863_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1158), (2895) imply:
% 276.70/45.97 | (2951) number_number_of_nat(all_861_0) = all_1846_13
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1151), (2894) imply:
% 276.70/45.97 | (2952) number_number_of_nat(all_861_0) = all_1843_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1144), (2613) imply:
% 276.70/45.97 | (2953) number_number_of_nat(all_861_0) = all_1835_10
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1093), (2892) imply:
% 276.70/45.97 | (2954) number_number_of_nat(all_861_0) = all_1779_4
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1085), (2891) imply:
% 276.70/45.97 | (2955) number_number_of_nat(all_861_0) = all_1774_9
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1059), (2889) imply:
% 276.70/45.97 | (2956) number_number_of_nat(all_861_0) = all_1746_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1042), (2887) imply:
% 276.70/45.97 | (2957) number_number_of_nat(all_861_0) = all_1736_10
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1029), (2886) imply:
% 276.70/45.97 | (2958) number_number_of_nat(all_861_0) = all_1721_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1025), (2885) imply:
% 276.70/45.97 | (2959) number_number_of_nat(all_861_0) = all_1718_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (977), (2881) imply:
% 276.70/45.97 | (2960) number_number_of_nat(all_861_0) = all_1664_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (968), (2880) imply:
% 276.70/45.97 | (2961) number_number_of_nat(all_861_0) = all_1662_8
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (959), (2879) imply:
% 276.70/45.97 | (2962) number_number_of_nat(all_861_0) = all_1660_8
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (952), (2679) imply:
% 276.70/45.97 | (2963) number_number_of_nat(all_861_0) = all_1645_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (929), (2876) imply:
% 276.70/45.97 | (2964) number_number_of_nat(all_861_0) = all_1613_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (920), (2874) imply:
% 276.70/45.97 | (2965) number_number_of_nat(all_861_0) = all_1604_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (908), (2872) imply:
% 276.70/45.97 | (2966) number_number_of_nat(all_861_0) = all_1587_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (903), (2871) imply:
% 276.70/45.97 | (2967) number_number_of_nat(all_861_0) = all_1581_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (876), (2869) imply:
% 276.70/45.97 | (2968) number_number_of_nat(all_861_0) = all_1552_7
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (871), (2868) imply:
% 276.70/45.97 | (2969) number_number_of_nat(all_861_0) = all_1549_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (867), (2867) imply:
% 276.70/45.97 | (2970) number_number_of_nat(all_861_0) = all_1546_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (849), (2865) imply:
% 276.70/45.97 | (2971) number_number_of_nat(all_861_0) = all_1535_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (821), (2863) imply:
% 276.70/45.97 | (2972) number_number_of_nat(all_861_0) = all_1510_6
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (810), (2862) imply:
% 276.70/45.97 | (2973) number_number_of_nat(all_861_0) = all_1498_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (775), (2860) imply:
% 276.70/45.97 | (2974) number_number_of_nat(all_861_0) = all_1450_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (769), (2859) imply:
% 276.70/45.97 | (2975) number_number_of_nat(all_861_0) = all_1438_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (754), (2857) imply:
% 276.70/45.97 | (2976) number_number_of_nat(all_861_0) = all_1414_2
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (738), (2855) imply:
% 276.70/45.97 | (2977) number_number_of_nat(all_861_0) = all_1376_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (734), (2854) imply:
% 276.70/45.97 | (2978) number_number_of_nat(all_861_0) = all_1370_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (705), (2852) imply:
% 276.70/45.97 | (2979) number_number_of_nat(all_861_0) = all_1274_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (667), (2849) imply:
% 276.70/45.97 | (2980) number_number_of_nat(all_861_0) = all_1194_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (617), (2846) imply:
% 276.70/45.97 | (2981) number_number_of_nat(all_861_0) = all_1142_2
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (606), (2696) imply:
% 276.70/45.97 | (2982) number_number_of_nat(all_861_0) = all_1125_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (568), (2843) imply:
% 276.70/45.97 | (2983) number_number_of_nat(all_861_0) = all_1088_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (564), (2842) imply:
% 276.70/45.97 | (2984) number_number_of_nat(all_861_0) = all_1085_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (560), (2841) imply:
% 276.70/45.97 | (2985) number_number_of_nat(all_861_0) = all_1079_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (554), (2840) imply:
% 276.70/45.97 | (2986) number_number_of_nat(all_861_0) = all_1070_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (550), (2839) imply:
% 276.70/45.97 | (2987) number_number_of_nat(all_861_0) = all_1067_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (535), (2772) imply:
% 276.70/45.97 | (2988) number_number_of_nat(all_861_0) = all_1032_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (512), (2794) imply:
% 276.70/45.97 | (2989) number_number_of_nat(all_861_0) = all_987_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (506), (2837) imply:
% 276.70/45.97 | (2990) number_number_of_nat(all_861_0) = all_982_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (494), (2797) imply:
% 276.70/45.97 | (2991) number_number_of_nat(all_861_0) = all_969_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (488), (2835) imply:
% 276.70/45.97 | (2992) number_number_of_nat(all_861_0) = all_963_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (479), (2804) imply:
% 276.70/45.97 | (2993) number_number_of_nat(all_861_0) = all_955_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (459), (2809) imply:
% 276.70/45.97 | (2994) number_number_of_nat(all_861_0) = all_944_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (454), (2811) imply:
% 276.70/45.97 | (2995) number_number_of_nat(all_861_0) = all_942_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (438), (2815) imply:
% 276.70/45.97 | (2996) number_number_of_nat(all_861_0) = all_924_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (434), (2817) imply:
% 276.70/45.97 | (2997) number_number_of_nat(all_861_0) = all_922_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (430), (2819) imply:
% 276.70/45.97 | (2998) number_number_of_nat(all_861_0) = all_914_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (424), (2821) imply:
% 276.70/45.97 | (2999) number_number_of_nat(all_861_0) = all_907_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (420), (2823) imply:
% 276.70/45.97 | (3000) number_number_of_nat(all_861_0) = all_905_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (2505), (2831) imply:
% 276.70/45.97 | (3001) number_number_of_nat(all_861_0) = all_859_1
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (534), (2712) imply:
% 276.70/45.97 | (3002) power_power_int(all_948_1) = all_1032_3
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1016), (2884) imply:
% 276.70/45.97 | (3003) hAPP_i1948725293t_bool(ord_less_int, all_948_1) = all_1713_9
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (1004), (2882) imply:
% 276.70/45.97 | (3004) hAPP_i1948725293t_bool(ord_less_int, all_948_1) = all_1708_9
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (2516), (2795) imply:
% 276.70/45.97 | (3005) hAPP_int_bool(all_793_1, all_948_1) = all_953_0
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (388), (2833) imply:
% 276.70/45.97 | (3006) int(all_861_0)
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (367), (2533) imply:
% 276.70/45.97 | (3007) hBOOL(all_795_0)
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (353), (2834) imply:
% 276.70/45.97 | (3008) hBOOL(all_789_0)
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (347), (2532) imply:
% 276.70/45.97 | (3009) hBOOL(all_791_0)
% 276.70/45.97 |
% 276.70/45.97 | REDUCE: (363), (2534) imply:
% 276.70/45.97 | (3010) ~ hBOOL(all_793_0)
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (284) with all_1708_9, all_1713_9, all_948_1,
% 276.70/45.97 | ord_less_int, simplifying with (3003), (3004) gives:
% 276.70/45.97 | (3011) all_1713_9 = all_1708_9
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_942_0, all_944_0, all_861_0,
% 276.70/45.97 | simplifying with (2994), (2995) gives:
% 276.70/45.97 | (3012) all_944_0 = all_942_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_942_0, all_963_0, all_861_0,
% 276.70/45.97 | simplifying with (2992), (2995) gives:
% 276.70/45.97 | (3013) all_963_0 = all_942_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_907_0, all_963_0, all_861_0,
% 276.70/45.97 | simplifying with (2992), (2999) gives:
% 276.70/45.97 | (3014) all_963_0 = all_907_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_905_0, all_963_0, all_861_0,
% 276.70/45.97 | simplifying with (2992), (3000) gives:
% 276.70/45.97 | (3015) all_963_0 = all_905_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_982_1, all_987_0, all_861_0,
% 276.70/45.97 | simplifying with (2989), (2990) gives:
% 276.70/45.97 | (3016) all_987_0 = all_982_1
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_987_0, all_1032_0, all_861_0,
% 276.70/45.97 | simplifying with (2988), (2989) gives:
% 276.70/45.97 | (3017) all_1032_0 = all_987_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_942_0, all_1070_0, all_861_0,
% 276.70/45.97 | simplifying with (2986), (2995) gives:
% 276.70/45.97 | (3018) all_1070_0 = all_942_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_955_1, all_1085_0, all_861_0,
% 276.70/45.97 | simplifying with (2984), (2993) gives:
% 276.70/45.97 | (3019) all_1085_0 = all_955_1
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_944_0, all_1085_0, all_861_0,
% 276.70/45.97 | simplifying with (2984), (2994) gives:
% 276.70/45.97 | (3020) all_1085_0 = all_944_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1067_0, all_1088_0, all_861_0,
% 276.70/45.97 | simplifying with (2983), (2987) gives:
% 276.70/45.97 | (3021) all_1088_0 = all_1067_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1032_0, all_1088_0, all_861_0,
% 276.70/45.97 | simplifying with (2983), (2988) gives:
% 276.70/45.97 | (3022) all_1088_0 = all_1032_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1125_3, all_1370_0, all_861_0,
% 276.70/45.97 | simplifying with (2978), (2982) gives:
% 276.70/45.97 | (3023) all_1370_0 = all_1125_3
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1088_0, all_1370_0, all_861_0,
% 276.70/45.97 | simplifying with (2978), (2983) gives:
% 276.70/45.97 | (3024) all_1370_0 = all_1088_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1274_0, all_1376_0, all_861_0,
% 276.70/45.97 | simplifying with (2977), (2979) gives:
% 276.70/45.97 | (3025) all_1376_0 = all_1274_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1376_0, all_1438_0, all_861_0,
% 276.70/45.97 | simplifying with (2975), (2977) gives:
% 276.70/45.97 | (3026) all_1438_0 = all_1376_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1370_0, all_1450_0, all_861_0,
% 276.70/45.97 | simplifying with (2974), (2978) gives:
% 276.70/45.97 | (3027) all_1450_0 = all_1370_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1070_0, all_1498_0, all_861_0,
% 276.70/45.97 | simplifying with (2973), (2986) gives:
% 276.70/45.97 | (3028) all_1498_0 = all_1070_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1450_0, all_1510_6, all_861_0,
% 276.70/45.97 | simplifying with (2972), (2974) gives:
% 276.70/45.97 | (3029) all_1510_6 = all_1450_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1370_0, all_1546_0, all_861_0,
% 276.70/45.97 | simplifying with (2970), (2978) gives:
% 276.70/45.97 | (3030) all_1546_0 = all_1370_0
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1510_6, all_1552_7, all_861_0,
% 276.70/45.97 | simplifying with (2968), (2972) gives:
% 276.70/45.97 | (3031) all_1552_7 = all_1510_6
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1552_7, all_1581_1, all_861_0,
% 276.70/45.97 | simplifying with (2967), (2968) gives:
% 276.70/45.97 | (3032) all_1581_1 = all_1552_7
% 276.70/45.97 |
% 276.70/45.97 | GROUND_INST: instantiating (277) with all_1438_0, all_1587_0, all_861_0,
% 276.70/45.97 | simplifying with (2966), (2975) gives:
% 276.70/45.97 | (3033) all_1587_0 = all_1438_0
% 276.70/45.97 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_914_0, all_1587_0, all_861_0,
% 276.70/45.98 | simplifying with (2966), (2998) gives:
% 276.70/45.98 | (3034) all_1587_0 = all_914_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1274_0, all_1613_1, all_861_0,
% 276.70/45.98 | simplifying with (2964), (2979) gives:
% 276.70/45.98 | (3035) all_1613_1 = all_1274_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1125_3, all_1613_1, all_861_0,
% 276.70/45.98 | simplifying with (2964), (2982) gives:
% 276.70/45.98 | (3036) all_1613_1 = all_1125_3
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1450_0, all_1645_1, all_861_0,
% 276.70/45.98 | simplifying with (2963), (2974) gives:
% 276.70/45.98 | (3037) all_1645_1 = all_1450_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1194_0, all_1645_1, all_861_0,
% 276.70/45.98 | simplifying with (2963), (2980) gives:
% 276.70/45.98 | (3038) all_1645_1 = all_1194_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1581_1, all_1660_8, all_861_0,
% 276.70/45.98 | simplifying with (2962), (2967) gives:
% 276.70/45.98 | (3039) all_1660_8 = all_1581_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1660_8, all_1662_8, all_861_0,
% 276.70/45.98 | simplifying with (2961), (2962) gives:
% 276.70/45.98 | (3040) all_1662_8 = all_1660_8
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_963_0, all_1664_3, all_861_0,
% 276.70/45.98 | simplifying with (2960), (2992) gives:
% 276.70/45.98 | (3041) all_1664_3 = all_963_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_922_0, all_1664_3, all_861_0,
% 276.70/45.98 | simplifying with (2960), (2997) gives:
% 276.70/45.98 | (3042) all_1664_3 = all_922_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1613_1, all_1718_0, all_861_0,
% 276.70/45.98 | simplifying with (2959), (2964) gives:
% 276.70/45.98 | (3043) all_1718_0 = all_1613_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1662_8, all_1721_0, all_861_0,
% 276.70/45.98 | simplifying with (2958), (2961) gives:
% 276.70/45.98 | (3044) all_1721_0 = all_1662_8
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1613_1, all_1746_0, all_861_0,
% 276.70/45.98 | simplifying with (2956), (2964) gives:
% 276.70/45.98 | (3045) all_1746_0 = all_1613_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1721_0, all_1774_9, all_861_0,
% 276.70/45.98 | simplifying with (2955), (2958) gives:
% 276.70/45.98 | (3046) all_1774_9 = all_1721_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1414_2, all_1774_9, all_861_0,
% 276.70/45.98 | simplifying with (2955), (2976) gives:
% 276.70/45.98 | (3047) all_1774_9 = all_1414_2
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1079_0, all_1779_4, all_861_0,
% 276.70/45.98 | simplifying with (2954), (2985) gives:
% 276.70/45.98 | (3048) all_1779_4 = all_1079_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1718_0, all_1835_10, all_861_0,
% 276.70/45.98 | simplifying with (2953), (2959) gives:
% 276.70/45.98 | (3049) all_1835_10 = all_1718_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1549_0, all_1835_10, all_861_0,
% 276.70/45.98 | simplifying with (2953), (2969) gives:
% 276.70/45.98 | (3050) all_1835_10 = all_1549_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1085_0, all_1846_13, all_861_0,
% 276.70/45.98 | simplifying with (2951), (2984) gives:
% 276.70/45.98 | (3051) all_1846_13 = all_1085_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_982_1, all_1846_13, all_861_0,
% 276.70/45.98 | simplifying with (2951), (2990) gives:
% 276.70/45.98 | (3052) all_1846_13 = all_982_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_969_0, all_1846_13, all_861_0,
% 276.70/45.98 | simplifying with (2951), (2991) gives:
% 276.70/45.98 | (3053) all_1846_13 = all_969_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1779_4, all_1863_0, all_861_0,
% 276.70/45.98 | simplifying with (2950), (2954) gives:
% 276.70/45.98 | (3054) all_1863_0 = all_1779_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1604_1, all_1863_0, all_861_0,
% 276.70/45.98 | simplifying with (2950), (2965) gives:
% 276.70/45.98 | (3055) all_1863_0 = all_1604_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1546_0, all_1863_0, all_861_0,
% 276.70/45.98 | simplifying with (2950), (2970) gives:
% 276.70/45.98 | (3056) all_1863_0 = all_1546_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1736_10, all_1872_0, all_861_0,
% 276.70/45.98 | simplifying with (2949), (2957) gives:
% 276.70/45.98 | (3057) all_1872_0 = all_1736_10
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1587_0, all_1872_0, all_861_0,
% 276.70/45.98 | simplifying with (2949), (2966) gives:
% 276.70/45.98 | (3058) all_1872_0 = all_1587_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1535_0, all_1872_0, all_861_0,
% 276.70/45.98 | simplifying with (2949), (2971) gives:
% 276.70/45.98 | (3059) all_1872_0 = all_1535_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1746_0, all_1878_0, all_861_0,
% 276.70/45.98 | simplifying with (2948), (2956) gives:
% 276.70/45.98 | (3060) all_1878_0 = all_1746_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1142_2, all_1878_0, all_861_0,
% 276.70/45.98 | simplifying with (2948), (2981) gives:
% 276.70/45.98 | (3061) all_1878_0 = all_1142_2
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1498_0, all_1905_0, all_861_0,
% 276.70/45.98 | simplifying with (2947), (2973) gives:
% 276.70/45.98 | (3062) all_1905_0 = all_1498_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_924_0, all_1905_0, all_861_0,
% 276.70/45.98 | simplifying with (2947), (2996) gives:
% 276.70/45.98 | (3063) all_1905_0 = all_924_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_1843_0, all_1908_0, all_861_0,
% 276.70/45.98 | simplifying with (2946), (2952) gives:
% 276.70/45.98 | (3064) all_1908_0 = all_1843_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_963_0, all_1908_0, all_861_0,
% 276.70/45.98 | simplifying with (2946), (2992) gives:
% 276.70/45.98 | (3065) all_1908_0 = all_963_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (277) with all_859_1, all_1908_0, all_861_0,
% 276.70/45.98 | simplifying with (2946), (3001) gives:
% 276.70/45.98 | (3066) all_1908_0 = all_859_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1174_4, all_1209_5, all_861_0,
% 276.70/45.98 | simplifying with (2941), (2942) gives:
% 276.70/45.98 | (3067) all_1209_5 = all_1174_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1209_5, all_1414_1, all_861_0,
% 276.70/45.98 | simplifying with (2939), (2941) gives:
% 276.70/45.98 | (3068) all_1414_1 = all_1209_5
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1414_1, all_1429_2, all_861_0,
% 276.70/45.98 | simplifying with (2938), (2939) gives:
% 276.70/45.98 | (3069) all_1429_2 = all_1414_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1515_7, all_1538_7, all_861_0,
% 276.70/45.98 | simplifying with (2935), (2936) gives:
% 276.70/45.98 | (3070) all_1538_7 = all_1515_7
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1510_3, all_1538_7, all_861_0,
% 276.70/45.98 | simplifying with (2935), (2937) gives:
% 276.70/45.98 | (3071) all_1538_7 = all_1510_3
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1429_2, all_1538_7, all_861_0,
% 276.70/45.98 | simplifying with (2935), (2938) gives:
% 276.70/45.98 | (3072) all_1538_7 = all_1429_2
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1388_6, all_1581_3, all_861_0,
% 276.70/45.98 | simplifying with (2933), (2940) gives:
% 276.70/45.98 | (3073) all_1581_3 = all_1388_6
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1174_4, all_1581_3, all_861_0,
% 276.70/45.98 | simplifying with (2933), (2942) gives:
% 276.70/45.98 | (3074) all_1581_3 = all_1174_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1172_4, all_1581_3, all_861_0,
% 276.70/45.98 | simplifying with (2933), (2943) gives:
% 276.70/45.98 | (3075) all_1581_3 = all_1172_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1388_6, all_1664_9, all_861_0,
% 276.70/45.98 | simplifying with (2930), (2940) gives:
% 276.70/45.98 | (3076) all_1664_9 = all_1388_6
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1105_3, all_1664_9, all_861_0,
% 276.70/45.98 | simplifying with (2930), (2944) gives:
% 276.70/45.98 | (3077) all_1664_9 = all_1105_3
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1660_4, all_1713_6, all_861_0,
% 276.70/45.98 | simplifying with (2928), (2932) gives:
% 276.70/45.98 | (3078) all_1713_6 = all_1660_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1552_4, all_1713_6, all_861_0,
% 276.70/45.98 | simplifying with (2928), (2934) gives:
% 276.70/45.98 | (3079) all_1713_6 = all_1552_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1515_7, all_1713_6, all_861_0,
% 276.70/45.98 | simplifying with (2928), (2936) gives:
% 276.70/45.98 | (3080) all_1713_6 = all_1515_7
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1660_4, all_1736_8, all_861_0,
% 276.70/45.98 | simplifying with (2927), (2932) gives:
% 276.70/45.98 | (3081) all_1736_8 = all_1660_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1091_4, all_1736_8, all_861_0,
% 276.70/45.98 | simplifying with (2927), (2945) gives:
% 276.70/45.98 | (3082) all_1736_8 = all_1091_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1664_9, all_1772_6, all_861_0,
% 276.70/45.98 | simplifying with (2926), (2930) gives:
% 276.70/45.98 | (3083) all_1772_6 = all_1664_9
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1779_10, all_1802_9, all_861_0,
% 276.70/45.98 | simplifying with (2923), (2924) gives:
% 276.70/45.98 | (3084) all_1802_9 = all_1779_10
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1774_4, all_1802_9, all_861_0,
% 276.70/45.98 | simplifying with (2923), (2925) gives:
% 276.70/45.98 | (3085) all_1802_9 = all_1774_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1713_6, all_1802_9, all_861_0,
% 276.70/45.98 | simplifying with (2923), (2928) gives:
% 276.70/45.98 | (3086) all_1802_9 = all_1713_6
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1779_10, all_1835_5, all_861_0,
% 276.70/45.98 | simplifying with (2922), (2924) gives:
% 276.70/45.98 | (3087) all_1835_5 = all_1779_10
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1772_6, all_1846_12, all_861_0,
% 276.70/45.98 | simplifying with (2921), (2926) gives:
% 276.70/45.98 | (3088) all_1846_12 = all_1772_6
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1662_4, all_1846_12, all_861_0,
% 276.70/45.98 | simplifying with (2921), (2931) gives:
% 276.70/45.98 | (3089) all_1846_12 = all_1662_4
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1835_5, all_1920_9, all_861_0,
% 276.70/45.98 | simplifying with (2920), (2922) gives:
% 276.70/45.98 | (3090) all_1920_9 = all_1835_5
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (278) with all_1708_6, all_1920_9, all_861_0,
% 276.70/45.98 | simplifying with (2920), (2929) gives:
% 276.70/45.98 | (3091) all_1920_9 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_978_1, all_1058_1, all_861_0,
% 276.70/45.98 | simplifying with (2914), (2915) gives:
% 276.70/45.98 | (3092) all_1058_1 = all_978_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_944_1, all_1058_1, all_861_0,
% 276.70/45.98 | simplifying with (2914), (2917) gives:
% 276.70/45.98 | (3093) all_1058_1 = all_944_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1058_1, all_1465_2, all_861_0,
% 276.70/45.98 | simplifying with (2911), (2914) gives:
% 276.70/45.98 | (3094) all_1465_2 = all_1058_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1465_2, all_1498_2, all_861_0,
% 276.70/45.98 | simplifying with (2910), (2911) gives:
% 276.70/45.98 | (3095) all_1498_2 = all_1465_2
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1337_3, all_1498_2, all_861_0,
% 276.70/45.98 | simplifying with (2910), (2912) gives:
% 276.70/45.98 | (3096) all_1498_2 = all_1337_3
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_944_1, all_1566_2, all_861_0,
% 276.70/45.98 | simplifying with (2909), (2917) gives:
% 276.70/45.98 | (3097) all_1566_2 = all_944_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1566_2, all_1593_7, all_861_0,
% 276.70/45.98 | simplifying with (2908), (2909) gives:
% 276.70/45.98 | (3098) all_1593_7 = all_1566_2
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1465_2, all_1604_0, all_861_0,
% 276.70/45.98 | simplifying with (2907), (2911) gives:
% 276.70/45.98 | (3099) all_1604_0 = all_1465_2
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1250_0, all_1604_0, all_861_0,
% 276.70/45.98 | simplifying with (2907), (2913) gives:
% 276.70/45.98 | (3100) all_1604_0 = all_1250_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1498_2, all_1610_5, all_861_0,
% 276.70/45.98 | simplifying with (2906), (2910) gives:
% 276.70/45.98 | (3101) all_1610_5 = all_1498_2
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_955_0, all_1610_5, all_861_0,
% 276.70/45.98 | simplifying with (2906), (2916) gives:
% 276.70/45.98 | (3102) all_1610_5 = all_955_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1593_7, all_1616_3, all_861_0,
% 276.70/45.98 | simplifying with (2904), (2908) gives:
% 276.70/45.98 | (3103) all_1616_3 = all_1593_7
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_852_1, all_1643_7, all_861_0,
% 276.70/45.98 | simplifying with (2903), (2919) gives:
% 276.70/45.98 | (3104) all_1643_7 = all_852_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1613_0, all_1643_7, all_861_0,
% 276.70/45.98 | simplifying with (2903), (2905) gives:
% 276.70/45.98 | (3105) all_1643_7 = all_1613_0
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_978_1, all_1643_7, all_861_0,
% 276.70/45.98 | simplifying with (2903), (2915) gives:
% 276.70/45.98 | (3106) all_1643_7 = all_978_1
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_1616_3, all_1744_0, all_861_0,
% 276.70/45.98 | simplifying with (2902), (2904) gives:
% 276.70/45.98 | (3107) all_1744_0 = all_1616_3
% 276.70/45.98 |
% 276.70/45.98 | GROUND_INST: instantiating (280) with all_926_1, all_1744_0, all_861_0,
% 276.70/45.98 | simplifying with (2902), (2918) gives:
% 276.70/45.98 | (3108) all_1744_0 = all_926_1
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3090), (3091) imply:
% 276.70/45.98 | (3109) all_1835_5 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3109) implies:
% 276.70/45.98 | (3110) all_1835_5 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3064), (3066) imply:
% 276.70/45.98 | (3111) all_1843_0 = all_859_1
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3064), (3065) imply:
% 276.70/45.98 | (3112) all_1843_0 = all_963_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3062), (3063) imply:
% 276.70/45.98 | (3113) all_1498_0 = all_924_0
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3113) implies:
% 276.70/45.98 | (3114) all_1498_0 = all_924_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3060), (3061) imply:
% 276.70/45.98 | (3115) all_1746_0 = all_1142_2
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3115) implies:
% 276.70/45.98 | (3116) all_1746_0 = all_1142_2
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3057), (3059) imply:
% 276.70/45.98 | (3117) all_1736_10 = all_1535_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3057), (3058) imply:
% 276.70/45.98 | (3118) all_1736_10 = all_1587_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3055), (3056) imply:
% 276.70/45.98 | (3119) all_1604_1 = all_1546_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3054), (3055) imply:
% 276.70/45.98 | (3120) all_1779_4 = all_1604_1
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3120) implies:
% 276.70/45.98 | (3121) all_1779_4 = all_1604_1
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3088), (3089) imply:
% 276.70/45.98 | (3122) all_1772_6 = all_1662_4
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3122) implies:
% 276.70/45.98 | (3123) all_1772_6 = all_1662_4
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3052), (3053) imply:
% 276.70/45.98 | (3124) all_982_1 = all_969_0
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3124) implies:
% 276.70/45.98 | (3125) all_982_1 = all_969_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3051), (3053) imply:
% 276.70/45.98 | (3126) all_1085_0 = all_969_0
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3126) implies:
% 276.70/45.98 | (3127) all_1085_0 = all_969_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3111), (3112) imply:
% 276.70/45.98 | (3128) all_963_0 = all_859_1
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3128) implies:
% 276.70/45.98 | (3129) all_963_0 = all_859_1
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3087), (3110) imply:
% 276.70/45.98 | (3130) all_1779_10 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3130) implies:
% 276.70/45.98 | (3131) all_1779_10 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3049), (3050) imply:
% 276.70/45.98 | (3132) all_1718_0 = all_1549_0
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3132) implies:
% 276.70/45.98 | (3133) all_1718_0 = all_1549_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3085), (3086) imply:
% 276.70/45.98 | (3134) all_1774_4 = all_1713_6
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3084), (3085) imply:
% 276.70/45.98 | (3135) all_1779_10 = all_1774_4
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3135) implies:
% 276.70/45.98 | (3136) all_1779_10 = all_1774_4
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3048), (3121) imply:
% 276.70/45.98 | (3137) all_1604_1 = all_1079_0
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3137) implies:
% 276.70/45.98 | (3138) all_1604_1 = all_1079_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3131), (3136) imply:
% 276.70/45.98 | (3139) all_1774_4 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3139) implies:
% 276.70/45.98 | (3140) all_1774_4 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3134), (3140) imply:
% 276.70/45.98 | (3141) all_1713_6 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3141) implies:
% 276.70/45.98 | (3142) all_1713_6 = all_1708_6
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3046), (3047) imply:
% 276.70/45.98 | (3143) all_1721_0 = all_1414_2
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3143) implies:
% 276.70/45.98 | (3144) all_1721_0 = all_1414_2
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3083), (3123) imply:
% 276.70/45.98 | (3145) all_1664_9 = all_1662_4
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3145) implies:
% 276.70/45.98 | (3146) all_1664_9 = all_1662_4
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3045), (3116) imply:
% 276.70/45.98 | (3147) all_1613_1 = all_1142_2
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3147) implies:
% 276.70/45.98 | (3148) all_1613_1 = all_1142_2
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3107), (3108) imply:
% 276.70/45.98 | (3149) all_1616_3 = all_926_1
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3149) implies:
% 276.70/45.98 | (3150) all_1616_3 = all_926_1
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3081), (3082) imply:
% 276.70/45.98 | (3151) all_1660_4 = all_1091_4
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3151) implies:
% 276.70/45.98 | (3152) all_1660_4 = all_1091_4
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3117), (3118) imply:
% 276.70/45.98 | (3153) all_1587_0 = all_1535_0
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3153) implies:
% 276.70/45.98 | (3154) all_1587_0 = all_1535_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3044), (3144) imply:
% 276.70/45.98 | (3155) all_1662_8 = all_1414_2
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3155) implies:
% 276.70/45.98 | (3156) all_1662_8 = all_1414_2
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3043), (3133) imply:
% 276.70/45.98 | (3157) all_1613_1 = all_1549_0
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3157) implies:
% 276.70/45.98 | (3158) all_1613_1 = all_1549_0
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3078), (3142) imply:
% 276.70/45.98 | (3159) all_1708_6 = all_1660_4
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3080), (3142) imply:
% 276.70/45.98 | (3160) all_1708_6 = all_1515_7
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3079), (3142) imply:
% 276.70/45.98 | (3161) all_1708_6 = all_1552_4
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3159), (3161) imply:
% 276.70/45.98 | (3162) all_1660_4 = all_1552_4
% 276.70/45.98 |
% 276.70/45.98 | SIMP: (3162) implies:
% 276.70/45.98 | (3163) all_1660_4 = all_1552_4
% 276.70/45.98 |
% 276.70/45.98 | COMBINE_EQS: (3160), (3161) imply:
% 276.70/45.99 | (3164) all_1552_4 = all_1515_7
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3041), (3042) imply:
% 276.70/45.99 | (3165) all_963_0 = all_922_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3165) implies:
% 276.70/45.99 | (3166) all_963_0 = all_922_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3076), (3146) imply:
% 276.70/45.99 | (3167) all_1662_4 = all_1388_6
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3077), (3146) imply:
% 276.70/45.99 | (3168) all_1662_4 = all_1105_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3167), (3168) imply:
% 276.70/45.99 | (3169) all_1388_6 = all_1105_3
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3169) implies:
% 276.70/45.99 | (3170) all_1388_6 = all_1105_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3040), (3156) imply:
% 276.70/45.99 | (3171) all_1660_8 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3171) implies:
% 276.70/45.99 | (3172) all_1660_8 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3152), (3163) imply:
% 276.70/45.99 | (3173) all_1552_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3173) implies:
% 276.70/45.99 | (3174) all_1552_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3039), (3172) imply:
% 276.70/45.99 | (3175) all_1581_1 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3175) implies:
% 276.70/45.99 | (3176) all_1581_1 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3037), (3038) imply:
% 276.70/45.99 | (3177) all_1450_0 = all_1194_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3177) implies:
% 276.70/45.99 | (3178) all_1450_0 = all_1194_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3104), (3105) imply:
% 276.70/45.99 | (3179) all_1613_0 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3105), (3106) imply:
% 276.70/45.99 | (3180) all_1613_0 = all_978_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3103), (3150) imply:
% 276.70/45.99 | (3181) all_1593_7 = all_926_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3181) implies:
% 276.70/45.99 | (3182) all_1593_7 = all_926_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3179), (3180) imply:
% 276.70/45.99 | (3183) all_978_1 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3183) implies:
% 276.70/45.99 | (3184) all_978_1 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3036), (3158) imply:
% 276.70/45.99 | (3185) all_1549_0 = all_1125_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3148), (3158) imply:
% 276.70/45.99 | (3186) all_1549_0 = all_1142_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3035), (3158) imply:
% 276.70/45.99 | (3187) all_1549_0 = all_1274_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3101), (3102) imply:
% 276.70/45.99 | (3188) all_1498_2 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3188) implies:
% 276.70/45.99 | (3189) all_1498_2 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3099), (3100) imply:
% 276.70/45.99 | (3190) all_1465_2 = all_1250_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3190) implies:
% 276.70/45.99 | (3191) all_1465_2 = all_1250_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3119), (3138) imply:
% 276.70/45.99 | (3192) all_1546_0 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3192) implies:
% 276.70/45.99 | (3193) all_1546_0 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3098), (3182) imply:
% 276.70/45.99 | (3194) all_1566_2 = all_926_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3194) implies:
% 276.70/45.99 | (3195) all_1566_2 = all_926_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3034), (3154) imply:
% 276.70/45.99 | (3196) all_1535_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3033), (3154) imply:
% 276.70/45.99 | (3197) all_1535_0 = all_1438_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3032), (3176) imply:
% 276.70/45.99 | (3198) all_1552_7 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3198) implies:
% 276.70/45.99 | (3199) all_1552_7 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3074), (3075) imply:
% 276.70/45.99 | (3200) all_1174_4 = all_1172_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3200) implies:
% 276.70/45.99 | (3201) all_1174_4 = all_1172_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3073), (3075) imply:
% 276.70/45.99 | (3202) all_1388_6 = all_1172_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3202) implies:
% 276.70/45.99 | (3203) all_1388_6 = all_1172_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3097), (3195) imply:
% 276.70/45.99 | (3204) all_944_1 = all_926_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3204) implies:
% 276.70/45.99 | (3205) all_944_1 = all_926_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3164), (3174) imply:
% 276.70/45.99 | (3206) all_1515_7 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3206) implies:
% 276.70/45.99 | (3207) all_1515_7 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3031), (3199) imply:
% 276.70/45.99 | (3208) all_1510_6 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3208) implies:
% 276.70/45.99 | (3209) all_1510_6 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3185), (3186) imply:
% 276.70/45.99 | (3210) all_1142_2 = all_1125_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3186), (3187) imply:
% 276.70/45.99 | (3211) all_1274_0 = all_1142_2
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3211) implies:
% 276.70/45.99 | (3212) all_1274_0 = all_1142_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3030), (3193) imply:
% 276.70/45.99 | (3213) all_1370_0 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3213) implies:
% 276.70/45.99 | (3214) all_1370_0 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3070), (3071) imply:
% 276.70/45.99 | (3215) all_1515_7 = all_1510_3
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3215) implies:
% 276.70/45.99 | (3216) all_1515_7 = all_1510_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3071), (3072) imply:
% 276.70/45.99 | (3217) all_1510_3 = all_1429_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3196), (3197) imply:
% 276.70/45.99 | (3218) all_1438_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3218) implies:
% 276.70/45.99 | (3219) all_1438_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3207), (3216) imply:
% 276.70/45.99 | (3220) all_1510_3 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3220) implies:
% 276.70/45.99 | (3221) all_1510_3 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3217), (3221) imply:
% 276.70/45.99 | (3222) all_1429_2 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3222) implies:
% 276.70/45.99 | (3223) all_1429_2 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3029), (3209) imply:
% 276.70/45.99 | (3224) all_1450_0 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3224) implies:
% 276.70/45.99 | (3225) all_1450_0 = all_1414_2
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3028), (3114) imply:
% 276.70/45.99 | (3226) all_1070_0 = all_924_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3226) implies:
% 276.70/45.99 | (3227) all_1070_0 = all_924_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3095), (3096) imply:
% 276.70/45.99 | (3228) all_1465_2 = all_1337_3
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3228) implies:
% 276.70/45.99 | (3229) all_1465_2 = all_1337_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3096), (3189) imply:
% 276.70/45.99 | (3230) all_1337_3 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3094), (3191) imply:
% 276.70/45.99 | (3231) all_1250_0 = all_1058_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3191), (3229) imply:
% 276.70/45.99 | (3232) all_1337_3 = all_1250_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3232) implies:
% 276.70/45.99 | (3233) all_1337_3 = all_1250_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3027), (3225) imply:
% 276.70/45.99 | (3234) all_1414_2 = all_1370_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3178), (3225) imply:
% 276.70/45.99 | (3235) all_1414_2 = all_1194_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3026), (3219) imply:
% 276.70/45.99 | (3236) all_1376_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3236) implies:
% 276.70/45.99 | (3237) all_1376_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3069), (3223) imply:
% 276.70/45.99 | (3238) all_1414_1 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3238) implies:
% 276.70/45.99 | (3239) all_1414_1 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3068), (3239) imply:
% 276.70/45.99 | (3240) all_1209_5 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3240) implies:
% 276.70/45.99 | (3241) all_1209_5 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3234), (3235) imply:
% 276.70/45.99 | (3242) all_1370_0 = all_1194_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3242) implies:
% 276.70/45.99 | (3243) all_1370_0 = all_1194_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3170), (3203) imply:
% 276.70/45.99 | (3244) all_1172_4 = all_1105_3
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3244) implies:
% 276.70/45.99 | (3245) all_1172_4 = all_1105_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3025), (3237) imply:
% 276.70/45.99 | (3246) all_1274_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3246) implies:
% 276.70/45.99 | (3247) all_1274_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3024), (3243) imply:
% 276.70/45.99 | (3248) all_1194_0 = all_1088_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3023), (3243) imply:
% 276.70/45.99 | (3249) all_1194_0 = all_1125_3
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3214), (3243) imply:
% 276.70/45.99 | (3250) all_1194_0 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3230), (3233) imply:
% 276.70/45.99 | (3251) all_1250_0 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3251) implies:
% 276.70/45.99 | (3252) all_1250_0 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3212), (3247) imply:
% 276.70/45.99 | (3253) all_1142_2 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3253) implies:
% 276.70/45.99 | (3254) all_1142_2 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3231), (3252) imply:
% 276.70/45.99 | (3255) all_1058_1 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3255) implies:
% 276.70/45.99 | (3256) all_1058_1 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3067), (3241) imply:
% 276.70/45.99 | (3257) all_1174_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3257) implies:
% 276.70/45.99 | (3258) all_1174_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3248), (3250) imply:
% 276.70/45.99 | (3259) all_1088_0 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3259) implies:
% 276.70/45.99 | (3260) all_1088_0 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3249), (3250) imply:
% 276.70/45.99 | (3261) all_1125_3 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3261) implies:
% 276.70/45.99 | (3262) all_1125_3 = all_1079_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3201), (3258) imply:
% 276.70/45.99 | (3263) all_1172_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3263) implies:
% 276.70/45.99 | (3264) all_1172_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3245), (3264) imply:
% 276.70/45.99 | (3265) all_1105_3 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3210), (3254) imply:
% 276.70/45.99 | (3266) all_1125_3 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3266) implies:
% 276.70/45.99 | (3267) all_1125_3 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3262), (3267) imply:
% 276.70/45.99 | (3268) all_1079_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3268) implies:
% 276.70/45.99 | (3269) all_1079_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3021), (3022) imply:
% 276.70/45.99 | (3270) all_1067_0 = all_1032_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3021), (3260) imply:
% 276.70/45.99 | (3271) all_1079_0 = all_1067_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3271) implies:
% 276.70/45.99 | (3272) all_1079_0 = all_1067_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3019), (3020) imply:
% 276.70/45.99 | (3273) all_955_1 = all_944_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3019), (3127) imply:
% 276.70/45.99 | (3274) all_969_0 = all_955_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3274) implies:
% 276.70/45.99 | (3275) all_969_0 = all_955_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3269), (3272) imply:
% 276.70/45.99 | (3276) all_1067_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3276) implies:
% 276.70/45.99 | (3277) all_1067_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3018), (3227) imply:
% 276.70/45.99 | (3278) all_942_0 = all_924_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3278) implies:
% 276.70/45.99 | (3279) all_942_0 = all_924_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3270), (3277) imply:
% 276.70/45.99 | (3280) all_1032_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3280) implies:
% 276.70/45.99 | (3281) all_1032_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3092), (3256) imply:
% 276.70/45.99 | (3282) all_978_1 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3282) implies:
% 276.70/45.99 | (3283) all_978_1 = all_955_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3093), (3256) imply:
% 276.70/45.99 | (3284) all_955_0 = all_944_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3017), (3281) imply:
% 276.70/45.99 | (3285) all_987_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3285) implies:
% 276.70/45.99 | (3286) all_987_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3016), (3286) imply:
% 276.70/45.99 | (3287) all_982_1 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3287) implies:
% 276.70/45.99 | (3288) all_982_1 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3125), (3288) imply:
% 276.70/45.99 | (3289) all_969_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3289) implies:
% 276.70/45.99 | (3290) all_969_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3184), (3283) imply:
% 276.70/45.99 | (3291) all_955_0 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3291) implies:
% 276.70/45.99 | (3292) all_955_0 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3275), (3290) imply:
% 276.70/45.99 | (3293) all_955_1 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3293) implies:
% 276.70/45.99 | (3294) all_955_1 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3013), (3166) imply:
% 276.70/45.99 | (3295) all_942_0 = all_922_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3295) implies:
% 276.70/45.99 | (3296) all_942_0 = all_922_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3015), (3166) imply:
% 276.70/45.99 | (3297) all_922_0 = all_905_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3014), (3166) imply:
% 276.70/45.99 | (3298) all_922_0 = all_907_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3129), (3166) imply:
% 276.70/45.99 | (3299) all_922_0 = all_859_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3284), (3292) imply:
% 276.70/45.99 | (3300) all_944_1 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3300) implies:
% 276.70/45.99 | (3301) all_944_1 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3273), (3294) imply:
% 276.70/45.99 | (3302) all_944_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3302) implies:
% 276.70/45.99 | (3303) all_944_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3012), (3303) imply:
% 276.70/45.99 | (3304) all_942_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3304) implies:
% 276.70/45.99 | (3305) all_942_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3205), (3301) imply:
% 276.70/45.99 | (3306) all_926_1 = all_852_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3279), (3296) imply:
% 276.70/45.99 | (3307) all_924_0 = all_922_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3279), (3305) imply:
% 276.70/45.99 | (3308) all_924_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3307), (3308) imply:
% 276.70/45.99 | (3309) all_922_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3309) implies:
% 276.70/45.99 | (3310) all_922_0 = all_914_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3297), (3310) imply:
% 276.70/45.99 | (3311) all_914_0 = all_905_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3299), (3310) imply:
% 276.70/45.99 | (3312) all_914_0 = all_859_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3298), (3310) imply:
% 276.70/45.99 | (3313) all_914_0 = all_907_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3311), (3313) imply:
% 276.70/45.99 | (3314) all_907_0 = all_905_0
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3312), (3313) imply:
% 276.70/45.99 | (3315) all_907_0 = all_859_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3314), (3315) imply:
% 276.70/45.99 | (3316) all_905_0 = all_859_1
% 276.70/45.99 |
% 276.70/45.99 | SIMP: (3316) implies:
% 276.70/45.99 | (3317) all_905_0 = all_859_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3303), (3312) imply:
% 276.70/45.99 | (3318) all_944_0 = all_859_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3281), (3312) imply:
% 276.70/45.99 | (3319) all_1032_0 = all_859_1
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3170), (3265) imply:
% 276.70/45.99 | (3320) all_1388_6 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3071), (3221) imply:
% 276.70/45.99 | (3321) all_1538_7 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3168), (3265) imply:
% 276.70/45.99 | (3322) all_1662_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3146), (3322) imply:
% 276.70/45.99 | (3323) all_1664_9 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3161), (3174) imply:
% 276.70/45.99 | (3324) all_1708_6 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3142), (3324) imply:
% 276.70/45.99 | (3325) all_1713_6 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3123), (3322) imply:
% 276.70/45.99 | (3326) all_1772_6 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3140), (3324) imply:
% 276.70/45.99 | (3327) all_1774_4 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3131), (3324) imply:
% 276.70/45.99 | (3328) all_1779_10 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3085), (3327) imply:
% 276.70/45.99 | (3329) all_1802_9 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3110), (3324) imply:
% 276.70/45.99 | (3330) all_1835_5 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3089), (3322) imply:
% 276.70/45.99 | (3331) all_1846_12 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | COMBINE_EQS: (3091), (3324) imply:
% 276.70/45.99 | (3332) all_1920_9 = all_1091_4
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1217), (3332) imply:
% 276.70/45.99 | (3333) number_number_of_int(all_1091_4) = all_1920_8
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1162), (3331) imply:
% 276.70/45.99 | (3334) number_number_of_int(all_1091_4) = all_1846_11
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1148), (3330) imply:
% 276.70/45.99 | (3335) number_number_of_int(all_1091_4) = all_1835_4
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1118), (3329) imply:
% 276.70/45.99 | (3336) number_number_of_int(all_1091_4) = all_1802_8
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1098), (3328) imply:
% 276.70/45.99 | (3337) number_number_of_int(all_1091_4) = all_1779_9
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1089), (3327) imply:
% 276.70/45.99 | (3338) number_number_of_int(all_1091_4) = all_1774_3
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1081), (3326) imply:
% 276.70/45.99 | (3339) number_number_of_int(all_1091_4) = all_1772_5
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1047), (3082) imply:
% 276.70/45.99 | (3340) number_number_of_int(all_1091_4) = all_1736_7
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1020), (3325) imply:
% 276.70/45.99 | (3341) number_number_of_int(all_1091_4) = all_1713_5
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (1008), (3324) imply:
% 276.70/45.99 | (3342) number_number_of_int(all_1091_4) = all_1708_5
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (981), (3323) imply:
% 276.70/45.99 | (3343) number_number_of_int(all_1091_4) = all_1664_8
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (973), (3322) imply:
% 276.70/45.99 | (3344) number_number_of_int(all_1091_4) = all_1662_3
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (964), (3152) imply:
% 276.70/45.99 | (3345) number_number_of_int(all_1091_4) = all_1660_3
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (880), (3174) imply:
% 276.70/45.99 | (3346) number_number_of_int(all_1091_4) = all_1552_3
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (858), (3321) imply:
% 276.70/45.99 | (3347) number_number_of_int(all_1091_4) = all_1538_6
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (835), (3207) imply:
% 276.70/45.99 | (3348) number_number_of_int(all_1091_4) = all_1515_6
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (825), (3221) imply:
% 276.70/45.99 | (3349) number_number_of_int(all_1091_4) = all_1510_2
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (765), (3223) imply:
% 276.70/45.99 | (3350) number_number_of_int(all_1091_4) = all_1429_1
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (749), (3320) imply:
% 276.70/45.99 | (3351) number_number_of_int(all_1091_4) = all_1388_5
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (677), (3241) imply:
% 276.70/45.99 | (3352) number_number_of_int(all_1091_4) = all_1209_4
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (654), (3258) imply:
% 276.70/45.99 | (3353) number_number_of_int(all_1091_4) = all_1174_3
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (644), (3264) imply:
% 276.70/45.99 | (3354) number_number_of_int(all_1091_4) = all_1172_3
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (589), (3265) imply:
% 276.70/45.99 | (3355) number_number_of_int(all_1091_4) = all_1105_2
% 276.70/45.99 |
% 276.70/45.99 | REDUCE: (533), (3319) imply:
% 276.70/45.99 | (3356) hAPP_nat_int(all_1032_3, all_859_1) = zero_zero_int
% 276.70/45.99 |
% 276.70/46.00 | REDUCE: (458), (3301), (3318) imply:
% 276.70/46.00 | (3357) hAPP_nat_int(semiri1621563631at_int, all_859_1) = all_852_1
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1012), (3011) imply:
% 276.70/46.00 | (3358) hAPP_int_bool(all_1708_9, all_1713_3) = all_1713_2
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (419), (3317) imply:
% 276.70/46.00 | (3359) nat(all_859_1)
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1209_4, all_1510_2, all_1091_4,
% 276.70/46.00 | simplifying with (3349), (3352) gives:
% 276.70/46.00 | (3360) all_1510_2 = all_1209_4
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1174_3, all_1510_2, all_1091_4,
% 276.70/46.00 | simplifying with (3349), (3353) gives:
% 276.70/46.00 | (3361) all_1510_2 = all_1174_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1091_3, all_1538_6, all_1091_4,
% 276.70/46.00 | simplifying with (576), (3347) gives:
% 276.70/46.00 | (3362) all_1538_6 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1510_2, all_1538_6, all_1091_4,
% 276.70/46.00 | simplifying with (3347), (3349) gives:
% 276.70/46.00 | (3363) all_1538_6 = all_1510_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1515_6, all_1552_3, all_1091_4,
% 276.70/46.00 | simplifying with (3346), (3348) gives:
% 276.70/46.00 | (3364) all_1552_3 = all_1515_6
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1552_3, all_1660_3, all_1091_4,
% 276.70/46.00 | simplifying with (3345), (3346) gives:
% 276.70/46.00 | (3365) all_1660_3 = all_1552_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1660_3, all_1662_3, all_1091_4,
% 276.70/46.00 | simplifying with (3344), (3345) gives:
% 276.70/46.00 | (3366) all_1662_3 = all_1660_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1662_3, all_1664_8, all_1091_4,
% 276.70/46.00 | simplifying with (3343), (3344) gives:
% 276.70/46.00 | (3367) all_1664_8 = all_1662_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1538_6, all_1708_5, all_1091_4,
% 276.70/46.00 | simplifying with (3342), (3347) gives:
% 276.70/46.00 | (3368) all_1708_5 = all_1538_6
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1172_3, all_1708_5, all_1091_4,
% 276.70/46.00 | simplifying with (3342), (3354) gives:
% 276.70/46.00 | (3369) all_1708_5 = all_1172_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1515_6, all_1713_5, all_1091_4,
% 276.70/46.00 | simplifying with (3341), (3348) gives:
% 276.70/46.00 | (3370) all_1713_5 = all_1515_6
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1429_1, all_1713_5, all_1091_4,
% 276.70/46.00 | simplifying with (3341), (3350) gives:
% 276.70/46.00 | (3371) all_1713_5 = all_1429_1
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1515_6, all_1736_7, all_1091_4,
% 276.70/46.00 | simplifying with (3340), (3348) gives:
% 276.70/46.00 | (3372) all_1736_7 = all_1515_6
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1388_5, all_1736_7, all_1091_4,
% 276.70/46.00 | simplifying with (3340), (3351) gives:
% 276.70/46.00 | (3373) all_1736_7 = all_1388_5
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1209_4, all_1736_7, all_1091_4,
% 276.70/46.00 | simplifying with (3340), (3352) gives:
% 276.70/46.00 | (3374) all_1736_7 = all_1209_4
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1664_8, all_1772_5, all_1091_4,
% 276.70/46.00 | simplifying with (3339), (3343) gives:
% 276.70/46.00 | (3375) all_1772_5 = all_1664_8
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1772_5, all_1774_3, all_1091_4,
% 276.70/46.00 | simplifying with (3338), (3339) gives:
% 276.70/46.00 | (3376) all_1774_3 = all_1772_5
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1774_3, all_1779_9, all_1091_4,
% 276.70/46.00 | simplifying with (3337), (3338) gives:
% 276.70/46.00 | (3377) all_1779_9 = all_1774_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1779_9, all_1802_8, all_1091_4,
% 276.70/46.00 | simplifying with (3336), (3337) gives:
% 276.70/46.00 | (3378) all_1802_8 = all_1779_9
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1802_8, all_1835_4, all_1091_4,
% 276.70/46.00 | simplifying with (3335), (3336) gives:
% 276.70/46.00 | (3379) all_1835_4 = all_1802_8
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1835_4, all_1846_11, all_1091_4,
% 276.70/46.00 | simplifying with (3334), (3335) gives:
% 276.70/46.00 | (3380) all_1846_11 = all_1835_4
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1846_11, all_1920_8, all_1091_4,
% 276.70/46.00 | simplifying with (3333), (3334) gives:
% 276.70/46.00 | (3381) all_1920_8 = all_1846_11
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (280) with all_1105_2, all_1920_8, all_1091_4,
% 276.70/46.00 | simplifying with (3333), (3355) gives:
% 276.70/46.00 | (3382) all_1920_8 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3381), (3382) imply:
% 276.70/46.00 | (3383) all_1846_11 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3383) implies:
% 276.70/46.00 | (3384) all_1846_11 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3380), (3384) imply:
% 276.70/46.00 | (3385) all_1835_4 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3385) implies:
% 276.70/46.00 | (3386) all_1835_4 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3379), (3386) imply:
% 276.70/46.00 | (3387) all_1802_8 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3387) implies:
% 276.70/46.00 | (3388) all_1802_8 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3378), (3388) imply:
% 276.70/46.00 | (3389) all_1779_9 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3389) implies:
% 276.70/46.00 | (3390) all_1779_9 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3377), (3390) imply:
% 276.70/46.00 | (3391) all_1774_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3391) implies:
% 276.70/46.00 | (3392) all_1774_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3376), (3392) imply:
% 276.70/46.00 | (3393) all_1772_5 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3393) implies:
% 276.70/46.00 | (3394) all_1772_5 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3375), (3394) imply:
% 276.70/46.00 | (3395) all_1664_8 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3395) implies:
% 276.70/46.00 | (3396) all_1664_8 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3373), (3374) imply:
% 276.70/46.00 | (3397) all_1388_5 = all_1209_4
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3372), (3373) imply:
% 276.70/46.00 | (3398) all_1515_6 = all_1388_5
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3398) implies:
% 276.70/46.00 | (3399) all_1515_6 = all_1388_5
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3370), (3371) imply:
% 276.70/46.00 | (3400) all_1515_6 = all_1429_1
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3400) implies:
% 276.70/46.00 | (3401) all_1515_6 = all_1429_1
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3368), (3369) imply:
% 276.70/46.00 | (3402) all_1538_6 = all_1172_3
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3402) implies:
% 276.70/46.00 | (3403) all_1538_6 = all_1172_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3367), (3396) imply:
% 276.70/46.00 | (3404) all_1662_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3404) implies:
% 276.70/46.00 | (3405) all_1662_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3366), (3405) imply:
% 276.70/46.00 | (3406) all_1660_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3406) implies:
% 276.70/46.00 | (3407) all_1660_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3365), (3407) imply:
% 276.70/46.00 | (3408) all_1552_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3408) implies:
% 276.70/46.00 | (3409) all_1552_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3364), (3409) imply:
% 276.70/46.00 | (3410) all_1515_6 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3410) implies:
% 276.70/46.00 | (3411) all_1515_6 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3363), (3403) imply:
% 276.70/46.00 | (3412) all_1510_2 = all_1172_3
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3412) implies:
% 276.70/46.00 | (3413) all_1510_2 = all_1172_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3362), (3403) imply:
% 276.70/46.00 | (3414) all_1172_3 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3399), (3401) imply:
% 276.70/46.00 | (3415) all_1429_1 = all_1388_5
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3401), (3411) imply:
% 276.70/46.00 | (3416) all_1429_1 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3360), (3361) imply:
% 276.70/46.00 | (3417) all_1209_4 = all_1174_3
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3417) implies:
% 276.70/46.00 | (3418) all_1209_4 = all_1174_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3361), (3413) imply:
% 276.70/46.00 | (3419) all_1174_3 = all_1172_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3415), (3416) imply:
% 276.70/46.00 | (3420) all_1388_5 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3420) implies:
% 276.70/46.00 | (3421) all_1388_5 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3397), (3421) imply:
% 276.70/46.00 | (3422) all_1209_4 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3422) implies:
% 276.70/46.00 | (3423) all_1209_4 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3418), (3423) imply:
% 276.70/46.00 | (3424) all_1174_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3424) implies:
% 276.70/46.00 | (3425) all_1174_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3419), (3425) imply:
% 276.70/46.00 | (3426) all_1172_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3426) implies:
% 276.70/46.00 | (3427) all_1172_3 = all_1105_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3414), (3427) imply:
% 276.70/46.00 | (3428) all_1105_2 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3428) implies:
% 276.70/46.00 | (3429) all_1105_2 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3425), (3429) imply:
% 276.70/46.00 | (3430) all_1174_3 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3423), (3429) imply:
% 276.70/46.00 | (3431) all_1209_4 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3421), (3429) imply:
% 276.70/46.00 | (3432) all_1388_5 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3416), (3429) imply:
% 276.70/46.00 | (3433) all_1429_1 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3361), (3430) imply:
% 276.70/46.00 | (3434) all_1510_2 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3401), (3433) imply:
% 276.70/46.00 | (3435) all_1515_6 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3409), (3429) imply:
% 276.70/46.00 | (3436) all_1552_3 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3407), (3429) imply:
% 276.70/46.00 | (3437) all_1660_3 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3405), (3429) imply:
% 276.70/46.00 | (3438) all_1662_3 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3396), (3429) imply:
% 276.70/46.00 | (3439) all_1664_8 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3369), (3414) imply:
% 276.70/46.00 | (3440) all_1708_5 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3371), (3433) imply:
% 276.70/46.00 | (3441) all_1713_5 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3373), (3432) imply:
% 276.70/46.00 | (3442) all_1736_7 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3394), (3429) imply:
% 276.70/46.00 | (3443) all_1772_5 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3392), (3429) imply:
% 276.70/46.00 | (3444) all_1774_3 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3390), (3429) imply:
% 276.70/46.00 | (3445) all_1779_9 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3388), (3429) imply:
% 276.70/46.00 | (3446) all_1802_8 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3386), (3429) imply:
% 276.70/46.00 | (3447) all_1835_4 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3384), (3429) imply:
% 276.70/46.00 | (3448) all_1846_11 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3382), (3429) imply:
% 276.70/46.00 | (3449) all_1920_8 = all_1091_3
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1218), (3449) imply:
% 276.70/46.00 | (3450) times_times_int(all_1091_3, m) = all_1920_7
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1163), (3448) imply:
% 276.70/46.00 | (3451) times_times_int(all_1091_3, m) = all_1846_10
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1149), (3447) imply:
% 276.70/46.00 | (3452) times_times_int(all_1091_3, m) = all_1835_3
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1119), (3446) imply:
% 276.70/46.00 | (3453) times_times_int(all_1091_3, m) = all_1802_7
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1099), (3445) imply:
% 276.70/46.00 | (3454) times_times_int(all_1091_3, m) = all_1779_8
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1090), (3444) imply:
% 276.70/46.00 | (3455) times_times_int(all_1091_3, m) = all_1774_2
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1082), (3443) imply:
% 276.70/46.00 | (3456) times_times_int(all_1091_3, m) = all_1772_4
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1048), (3442) imply:
% 276.70/46.00 | (3457) times_times_int(all_1091_3, m) = all_1736_6
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1021), (3441) imply:
% 276.70/46.00 | (3458) times_times_int(all_1091_3, m) = all_1713_4
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (1009), (3440) imply:
% 276.70/46.00 | (3459) times_times_int(all_1091_3, m) = all_1708_4
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (982), (3439) imply:
% 276.70/46.00 | (3460) times_times_int(all_1091_3, m) = all_1664_7
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (974), (3438) imply:
% 276.70/46.00 | (3461) times_times_int(all_1091_3, m) = all_1662_2
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (965), (3437) imply:
% 276.70/46.00 | (3462) times_times_int(all_1091_3, m) = all_1660_2
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (881), (3436) imply:
% 276.70/46.00 | (3463) times_times_int(all_1091_3, m) = all_1552_2
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (859), (3362) imply:
% 276.70/46.00 | (3464) times_times_int(all_1091_3, m) = all_1538_5
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (836), (3435) imply:
% 276.70/46.00 | (3465) times_times_int(all_1091_3, m) = all_1515_5
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (826), (3434) imply:
% 276.70/46.00 | (3466) times_times_int(all_1091_3, m) = all_1510_1
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (750), (3432) imply:
% 276.70/46.00 | (3467) times_times_int(all_1091_3, m) = all_1388_4
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (678), (3431) imply:
% 276.70/46.00 | (3468) times_times_int(all_1091_3, m) = all_1209_3
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (655), (3430) imply:
% 276.70/46.00 | (3469) times_times_int(all_1091_3, m) = all_1174_2
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (645), (3414) imply:
% 276.70/46.00 | (3470) times_times_int(all_1091_3, m) = all_1172_2
% 276.70/46.00 |
% 276.70/46.00 | REDUCE: (590), (3429) imply:
% 276.70/46.00 | (3471) times_times_int(all_1091_3, m) = all_1105_1
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1174_2, all_1209_3, m, all_1091_3,
% 276.70/46.00 | simplifying with (3468), (3469) gives:
% 276.70/46.00 | (3472) all_1209_3 = all_1174_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1209_3, all_1388_4, m, all_1091_3,
% 276.70/46.00 | simplifying with (3467), (3468) gives:
% 276.70/46.00 | (3473) all_1388_4 = all_1209_3
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1552_2, all_1662_2, m, all_1091_3,
% 276.70/46.00 | simplifying with (3461), (3463) gives:
% 276.70/46.00 | (3474) all_1662_2 = all_1552_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1552_2, all_1664_7, m, all_1091_3,
% 276.70/46.00 | simplifying with (3460), (3463) gives:
% 276.70/46.00 | (3475) all_1664_7 = all_1552_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1664_7, all_1708_4, m, all_1091_3,
% 276.70/46.00 | simplifying with (3459), (3460) gives:
% 276.70/46.00 | (3476) all_1708_4 = all_1664_7
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1662_2, all_1713_4, m, all_1091_3,
% 276.70/46.00 | simplifying with (3458), (3461) gives:
% 276.70/46.00 | (3477) all_1713_4 = all_1662_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1091_2, all_1736_6, m, all_1091_3,
% 276.70/46.00 | simplifying with (577), (3457) gives:
% 276.70/46.00 | (3478) all_1736_6 = all_1091_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1662_2, all_1736_6, m, all_1091_3,
% 276.70/46.00 | simplifying with (3457), (3461) gives:
% 276.70/46.00 | (3479) all_1736_6 = all_1662_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1515_5, all_1736_6, m, all_1091_3,
% 276.70/46.00 | simplifying with (3457), (3465) gives:
% 276.70/46.00 | (3480) all_1736_6 = all_1515_5
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1388_4, all_1736_6, m, all_1091_3,
% 276.70/46.00 | simplifying with (3457), (3467) gives:
% 276.70/46.00 | (3481) all_1736_6 = all_1388_4
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1174_2, all_1772_4, m, all_1091_3,
% 276.70/46.00 | simplifying with (3456), (3469) gives:
% 276.70/46.00 | (3482) all_1772_4 = all_1174_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1105_1, all_1772_4, m, all_1091_3,
% 276.70/46.00 | simplifying with (3456), (3471) gives:
% 276.70/46.00 | (3483) all_1772_4 = all_1105_1
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1664_7, all_1774_2, m, all_1091_3,
% 276.70/46.00 | simplifying with (3455), (3460) gives:
% 276.70/46.00 | (3484) all_1774_2 = all_1664_7
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1772_4, all_1779_8, m, all_1091_3,
% 276.70/46.00 | simplifying with (3454), (3456) gives:
% 276.70/46.00 | (3485) all_1779_8 = all_1772_4
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1708_4, all_1802_7, m, all_1091_3,
% 276.70/46.00 | simplifying with (3453), (3459) gives:
% 276.70/46.00 | (3486) all_1802_7 = all_1708_4
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1660_2, all_1802_7, m, all_1091_3,
% 276.70/46.00 | simplifying with (3453), (3462) gives:
% 276.70/46.00 | (3487) all_1802_7 = all_1660_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1713_4, all_1835_3, m, all_1091_3,
% 276.70/46.00 | simplifying with (3452), (3458) gives:
% 276.70/46.00 | (3488) all_1835_3 = all_1713_4
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1538_5, all_1835_3, m, all_1091_3,
% 276.70/46.00 | simplifying with (3452), (3464) gives:
% 276.70/46.00 | (3489) all_1835_3 = all_1538_5
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1774_2, all_1846_10, m, all_1091_3,
% 276.70/46.00 | simplifying with (3451), (3455) gives:
% 276.70/46.00 | (3490) all_1846_10 = all_1774_2
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1510_1, all_1846_10, m, all_1091_3,
% 276.70/46.00 | simplifying with (3451), (3466) gives:
% 276.70/46.00 | (3491) all_1846_10 = all_1510_1
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1779_8, all_1920_7, m, all_1091_3,
% 276.70/46.00 | simplifying with (3450), (3454) gives:
% 276.70/46.00 | (3492) all_1920_7 = all_1779_8
% 276.70/46.00 |
% 276.70/46.00 | GROUND_INST: instantiating (286) with all_1172_2, all_1920_7, m, all_1091_3,
% 276.70/46.00 | simplifying with (3450), (3470) gives:
% 276.70/46.00 | (3493) all_1920_7 = all_1172_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3492), (3493) imply:
% 276.70/46.00 | (3494) all_1779_8 = all_1172_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3494) implies:
% 276.70/46.00 | (3495) all_1779_8 = all_1172_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3490), (3491) imply:
% 276.70/46.00 | (3496) all_1774_2 = all_1510_1
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3496) implies:
% 276.70/46.00 | (3497) all_1774_2 = all_1510_1
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3488), (3489) imply:
% 276.70/46.00 | (3498) all_1713_4 = all_1538_5
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3498) implies:
% 276.70/46.00 | (3499) all_1713_4 = all_1538_5
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3486), (3487) imply:
% 276.70/46.00 | (3500) all_1708_4 = all_1660_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3500) implies:
% 276.70/46.00 | (3501) all_1708_4 = all_1660_2
% 276.70/46.00 |
% 276.70/46.00 | COMBINE_EQS: (3485), (3495) imply:
% 276.70/46.00 | (3502) all_1772_4 = all_1172_2
% 276.70/46.00 |
% 276.70/46.00 | SIMP: (3502) implies:
% 276.70/46.00 | (3503) all_1772_4 = all_1172_2
% 276.70/46.00 |
% 276.70/46.01 | COMBINE_EQS: (3484), (3497) imply:
% 276.70/46.01 | (3504) all_1664_7 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3504) implies:
% 276.70/46.01 | (3505) all_1664_7 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3483), (3503) imply:
% 276.70/46.01 | (3506) all_1172_2 = all_1105_1
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3482), (3503) imply:
% 276.70/46.01 | (3507) all_1174_2 = all_1172_2
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3507) implies:
% 276.70/46.01 | (3508) all_1174_2 = all_1172_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3478), (3480) imply:
% 276.70/46.01 | (3509) all_1515_5 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3479), (3480) imply:
% 276.70/46.01 | (3510) all_1662_2 = all_1515_5
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3510) implies:
% 276.70/46.01 | (3511) all_1662_2 = all_1515_5
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3480), (3481) imply:
% 276.70/46.01 | (3512) all_1515_5 = all_1388_4
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3477), (3499) imply:
% 276.70/46.01 | (3513) all_1662_2 = all_1538_5
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3513) implies:
% 276.70/46.01 | (3514) all_1662_2 = all_1538_5
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3476), (3501) imply:
% 276.70/46.01 | (3515) all_1664_7 = all_1660_2
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3515) implies:
% 276.70/46.01 | (3516) all_1664_7 = all_1660_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3475), (3516) imply:
% 276.70/46.01 | (3517) all_1660_2 = all_1552_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3505), (3516) imply:
% 276.70/46.01 | (3518) all_1660_2 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3511), (3514) imply:
% 276.70/46.01 | (3519) all_1538_5 = all_1515_5
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3474), (3514) imply:
% 276.70/46.01 | (3520) all_1552_2 = all_1538_5
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3520) implies:
% 276.70/46.01 | (3521) all_1552_2 = all_1538_5
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3517), (3518) imply:
% 276.70/46.01 | (3522) all_1552_2 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3522) implies:
% 276.70/46.01 | (3523) all_1552_2 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3521), (3523) imply:
% 276.70/46.01 | (3524) all_1538_5 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3524) implies:
% 276.70/46.01 | (3525) all_1538_5 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3519), (3525) imply:
% 276.70/46.01 | (3526) all_1515_5 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3526) implies:
% 276.70/46.01 | (3527) all_1515_5 = all_1510_1
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3509), (3527) imply:
% 276.70/46.01 | (3528) all_1510_1 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3512), (3527) imply:
% 276.70/46.01 | (3529) all_1510_1 = all_1388_4
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3528), (3529) imply:
% 276.70/46.01 | (3530) all_1388_4 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3530) implies:
% 276.70/46.01 | (3531) all_1388_4 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3473), (3531) imply:
% 276.70/46.01 | (3532) all_1209_3 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3532) implies:
% 276.70/46.01 | (3533) all_1209_3 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3472), (3533) imply:
% 276.70/46.01 | (3534) all_1174_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3534) implies:
% 276.70/46.01 | (3535) all_1174_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3508), (3535) imply:
% 276.70/46.01 | (3536) all_1172_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3536) implies:
% 276.70/46.01 | (3537) all_1172_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3506), (3537) imply:
% 276.70/46.01 | (3538) all_1105_1 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | SIMP: (3538) implies:
% 276.70/46.01 | (3539) all_1105_1 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3525), (3528) imply:
% 276.70/46.01 | (3540) all_1538_5 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3523), (3528) imply:
% 276.70/46.01 | (3541) all_1552_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3518), (3528) imply:
% 276.70/46.01 | (3542) all_1660_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3514), (3540) imply:
% 276.70/46.01 | (3543) all_1662_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3516), (3542) imply:
% 276.70/46.01 | (3544) all_1664_7 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3501), (3542) imply:
% 276.70/46.01 | (3545) all_1708_4 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3499), (3540) imply:
% 276.70/46.01 | (3546) all_1713_4 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3503), (3537) imply:
% 276.70/46.01 | (3547) all_1772_4 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3497), (3528) imply:
% 276.70/46.01 | (3548) all_1774_2 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3495), (3537) imply:
% 276.70/46.01 | (3549) all_1779_8 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3487), (3542) imply:
% 276.70/46.01 | (3550) all_1802_7 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3489), (3540) imply:
% 276.70/46.01 | (3551) all_1835_3 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3491), (3528) imply:
% 276.70/46.01 | (3552) all_1846_10 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | COMBINE_EQS: (3493), (3537) imply:
% 276.70/46.01 | (3553) all_1920_7 = all_1091_2
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1211), (3553) imply:
% 276.70/46.01 | (3554) plus_plus_int(all_1091_2, one_one_int) = all_1920_6
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1156), (3552) imply:
% 276.70/46.01 | (3555) plus_plus_int(all_1091_2, one_one_int) = all_1846_9
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1142), (3551) imply:
% 276.70/46.01 | (3556) plus_plus_int(all_1091_2, one_one_int) = all_1835_2
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1112), (3550) imply:
% 276.70/46.01 | (3557) plus_plus_int(all_1091_2, one_one_int) = all_1802_6
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1092), (3549) imply:
% 276.70/46.01 | (3558) plus_plus_int(all_1091_2, one_one_int) = all_1779_7
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1084), (3548) imply:
% 276.70/46.01 | (3559) plus_plus_int(all_1091_2, one_one_int) = all_1774_1
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1075), (3547) imply:
% 276.70/46.01 | (3560) plus_plus_int(all_1091_2, one_one_int) = all_1772_3
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1041), (3478) imply:
% 276.70/46.01 | (3561) plus_plus_int(all_1091_2, one_one_int) = all_1736_5
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1014), (3546) imply:
% 276.70/46.01 | (3562) plus_plus_int(all_1091_2, one_one_int) = all_1713_3
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (1002), (3545) imply:
% 276.70/46.01 | (3563) plus_plus_int(all_1091_2, one_one_int) = all_1708_3
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (976), (3544) imply:
% 276.70/46.01 | (3564) plus_plus_int(all_1091_2, one_one_int) = all_1664_6
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (967), (3543) imply:
% 276.70/46.01 | (3565) plus_plus_int(all_1091_2, one_one_int) = all_1662_1
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (958), (3542) imply:
% 276.70/46.01 | (3566) plus_plus_int(all_1091_2, one_one_int) = all_1660_1
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (875), (3541) imply:
% 276.70/46.01 | (3567) plus_plus_int(all_1091_2, one_one_int) = all_1552_1
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (853), (3540) imply:
% 276.70/46.01 | (3568) plus_plus_int(all_1091_2, one_one_int) = all_1538_4
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (830), (3509) imply:
% 276.70/46.01 | (3569) plus_plus_int(all_1091_2, one_one_int) = all_1515_4
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (820), (3528) imply:
% 276.70/46.01 | (3570) plus_plus_int(all_1091_2, one_one_int) = all_1510_0
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (744), (3531) imply:
% 276.70/46.01 | (3571) plus_plus_int(all_1091_2, one_one_int) = all_1388_3
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (673), (3533) imply:
% 276.70/46.01 | (3572) plus_plus_int(all_1091_2, one_one_int) = all_1209_2
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (649), (3535) imply:
% 276.70/46.01 | (3573) plus_plus_int(all_1091_2, one_one_int) = all_1174_1
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (639), (3537) imply:
% 276.70/46.01 | (3574) plus_plus_int(all_1091_2, one_one_int) = all_1172_1
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (584), (3539) imply:
% 276.70/46.01 | (3575) plus_plus_int(all_1091_2, one_one_int) = all_1105_0
% 276.70/46.01 |
% 276.70/46.01 | REDUCE: (583), (3539) imply:
% 276.70/46.01 | (3576) int(all_1091_2)
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1091_1, all_1172_1, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (572), (3574) gives:
% 276.70/46.01 | (3577) all_1172_1 = all_1091_1
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1172_1, all_1174_1, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3573), (3574) gives:
% 276.70/46.01 | (3578) all_1174_1 = all_1172_1
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1174_1, all_1209_2, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3572), (3573) gives:
% 276.70/46.01 | (3579) all_1209_2 = all_1174_1
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1209_2, all_1388_3, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3571), (3572) gives:
% 276.70/46.01 | (3580) all_1388_3 = all_1209_2
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1388_3, all_1510_0, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3570), (3571) gives:
% 276.70/46.01 | (3581) all_1510_0 = all_1388_3
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1510_0, all_1515_4, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3569), (3570) gives:
% 276.70/46.01 | (3582) all_1515_4 = all_1510_0
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1515_4, all_1538_4, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3568), (3569) gives:
% 276.70/46.01 | (3583) all_1538_4 = all_1515_4
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1662_1, all_1664_6, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3564), (3565) gives:
% 276.70/46.01 | (3584) all_1664_6 = all_1662_1
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1552_1, all_1664_6, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3564), (3567) gives:
% 276.70/46.01 | (3585) all_1664_6 = all_1552_1
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1538_4, all_1664_6, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3564), (3568) gives:
% 276.70/46.01 | (3586) all_1664_6 = all_1538_4
% 276.70/46.01 |
% 276.70/46.01 | GROUND_INST: instantiating (282) with all_1664_6, all_1708_3, one_one_int,
% 276.70/46.01 | all_1091_2, simplifying with (3563), (3564) gives:
% 276.70/46.01 | (3587) all_1708_3 = all_1664_6
% 276.70/46.01 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1660_1, all_1708_3, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3563), (3566) gives:
% 276.70/46.02 | (3588) all_1708_3 = all_1660_1
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1713_3, all_1772_3, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3560), (3562) gives:
% 276.70/46.02 | (3589) all_1772_3 = all_1713_3
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1664_6, all_1772_3, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3560), (3564) gives:
% 276.70/46.02 | (3590) all_1772_3 = all_1664_6
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1774_1, all_1779_7, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3558), (3559) gives:
% 276.70/46.02 | (3591) all_1779_7 = all_1774_1
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1772_3, all_1779_7, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3558), (3560) gives:
% 276.70/46.02 | (3592) all_1779_7 = all_1772_3
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1736_5, all_1779_7, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3558), (3561) gives:
% 276.70/46.02 | (3593) all_1779_7 = all_1736_5
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1774_1, all_1802_6, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3557), (3559) gives:
% 276.70/46.02 | (3594) all_1802_6 = all_1774_1
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1802_6, all_1835_2, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3556), (3557) gives:
% 276.70/46.02 | (3595) all_1835_2 = all_1802_6
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1835_2, all_1846_9, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3555), (3556) gives:
% 276.70/46.02 | (3596) all_1846_9 = all_1835_2
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1846_9, all_1920_6, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3554), (3555) gives:
% 276.70/46.02 | (3597) all_1920_6 = all_1846_9
% 276.70/46.02 |
% 276.70/46.02 | GROUND_INST: instantiating (282) with all_1105_0, all_1920_6, one_one_int,
% 276.70/46.02 | all_1091_2, simplifying with (3554), (3575) gives:
% 276.70/46.02 | (3598) all_1920_6 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3597), (3598) imply:
% 276.70/46.02 | (3599) all_1846_9 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3599) implies:
% 276.70/46.02 | (3600) all_1846_9 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3596), (3600) imply:
% 276.70/46.02 | (3601) all_1835_2 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3601) implies:
% 276.70/46.02 | (3602) all_1835_2 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3595), (3602) imply:
% 276.70/46.02 | (3603) all_1802_6 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3603) implies:
% 276.70/46.02 | (3604) all_1802_6 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3594), (3604) imply:
% 276.70/46.02 | (3605) all_1774_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3605) implies:
% 276.70/46.02 | (3606) all_1774_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3592), (3593) imply:
% 276.70/46.02 | (3607) all_1772_3 = all_1736_5
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3607) implies:
% 276.70/46.02 | (3608) all_1772_3 = all_1736_5
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3591), (3593) imply:
% 276.70/46.02 | (3609) all_1774_1 = all_1736_5
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3609) implies:
% 276.70/46.02 | (3610) all_1774_1 = all_1736_5
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3606), (3610) imply:
% 276.70/46.02 | (3611) all_1736_5 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3611) implies:
% 276.70/46.02 | (3612) all_1736_5 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3589), (3590) imply:
% 276.70/46.02 | (3613) all_1713_3 = all_1664_6
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3589), (3608) imply:
% 276.70/46.02 | (3614) all_1736_5 = all_1713_3
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3614) implies:
% 276.70/46.02 | (3615) all_1736_5 = all_1713_3
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3612), (3615) imply:
% 276.70/46.02 | (3616) all_1713_3 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3616) implies:
% 276.70/46.02 | (3617) all_1713_3 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3613), (3617) imply:
% 276.70/46.02 | (3618) all_1664_6 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3618) implies:
% 276.70/46.02 | (3619) all_1664_6 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3587), (3588) imply:
% 276.70/46.02 | (3620) all_1664_6 = all_1660_1
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3620) implies:
% 276.70/46.02 | (3621) all_1664_6 = all_1660_1
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3584), (3585) imply:
% 276.70/46.02 | (3622) all_1662_1 = all_1552_1
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3584), (3586) imply:
% 276.70/46.02 | (3623) all_1662_1 = all_1538_4
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3584), (3619) imply:
% 276.70/46.02 | (3624) all_1662_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3584), (3621) imply:
% 276.70/46.02 | (3625) all_1662_1 = all_1660_1
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3623), (3625) imply:
% 276.70/46.02 | (3626) all_1660_1 = all_1538_4
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3622), (3625) imply:
% 276.70/46.02 | (3627) all_1660_1 = all_1552_1
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3624), (3625) imply:
% 276.70/46.02 | (3628) all_1660_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3626), (3627) imply:
% 276.70/46.02 | (3629) all_1552_1 = all_1538_4
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3627), (3628) imply:
% 276.70/46.02 | (3630) all_1552_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3629), (3630) imply:
% 276.70/46.02 | (3631) all_1538_4 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3631) implies:
% 276.70/46.02 | (3632) all_1538_4 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3583), (3632) imply:
% 276.70/46.02 | (3633) all_1515_4 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3633) implies:
% 276.70/46.02 | (3634) all_1515_4 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3582), (3634) imply:
% 276.70/46.02 | (3635) all_1510_0 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3635) implies:
% 276.70/46.02 | (3636) all_1510_0 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3581), (3636) imply:
% 276.70/46.02 | (3637) all_1388_3 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3637) implies:
% 276.70/46.02 | (3638) all_1388_3 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3580), (3638) imply:
% 276.70/46.02 | (3639) all_1209_2 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3639) implies:
% 276.70/46.02 | (3640) all_1209_2 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3579), (3640) imply:
% 276.70/46.02 | (3641) all_1174_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3641) implies:
% 276.70/46.02 | (3642) all_1174_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3578), (3642) imply:
% 276.70/46.02 | (3643) all_1172_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | SIMP: (3643) implies:
% 276.70/46.02 | (3644) all_1172_1 = all_1105_0
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3577), (3644) imply:
% 276.70/46.02 | (3645) all_1105_0 = all_1091_1
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3642), (3645) imply:
% 276.70/46.02 | (3646) all_1174_1 = all_1091_1
% 276.70/46.02 |
% 276.70/46.02 | COMBINE_EQS: (3632), (3645) imply:
% 276.70/46.02 | (3647) all_1538_4 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | COMBINE_EQS: (3630), (3645) imply:
% 276.70/46.03 | (3648) all_1552_1 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | COMBINE_EQS: (3627), (3648) imply:
% 276.70/46.03 | (3649) all_1660_1 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | COMBINE_EQS: (3588), (3649) imply:
% 276.70/46.03 | (3650) all_1708_3 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | COMBINE_EQS: (3617), (3645) imply:
% 276.70/46.03 | (3651) all_1713_3 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | COMBINE_EQS: (3589), (3651) imply:
% 276.70/46.03 | (3652) all_1772_3 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | COMBINE_EQS: (3604), (3645) imply:
% 276.70/46.03 | (3653) all_1802_6 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | COMBINE_EQS: (3598), (3645) imply:
% 276.70/46.03 | (3654) all_1920_6 = all_1091_1
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (2414), (3645) imply:
% 276.70/46.03 | (3655) legendre(all_787_0, all_1091_1) = one_one_int
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (1210), (3654) imply:
% 276.70/46.03 | (3656) hAPP_int_bool(all_1920_3, all_1091_1) = all_1920_2
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (1111), (3653) imply:
% 276.70/46.03 | (3657) hAPP_int_bool(all_1802_3, all_1091_1) = all_1802_2
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (1074), (3652) imply:
% 276.70/46.03 | (3658) hAPP_int_bool(all_1772_9, all_1091_1) = all_1772_2
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (3358), (3651) imply:
% 276.70/46.03 | (3659) hAPP_int_bool(all_1708_9, all_1091_1) = all_1713_2
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (1000), (3650) imply:
% 276.70/46.03 | (3660) hAPP_int_bool(all_1708_9, all_1091_1) = all_1708_2
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (638), (3577) imply:
% 276.70/46.03 | (3661) hAPP_int_bool(all_1172_7, all_1091_1) = all_1172_0
% 276.70/46.03 |
% 276.70/46.03 | REDUCE: (2515), (3646) imply:
% 276.70/46.03 | (3662) hAPP_int_bool(all_793_1, all_1091_1) = all_1174_0
% 276.70/46.03 |
% 276.70/46.03 | BETA: splitting (860) gives:
% 276.70/46.03 |
% 276.70/46.03 | Case 1:
% 276.70/46.03 | |
% 276.70/46.03 | | (3663) ~ (all_1538_0 = one_one_int) & legendre(all_1538_2, all_1538_4) =
% 276.70/46.03 | | all_1538_0 & int(all_1538_0)
% 276.70/46.03 | |
% 276.70/46.03 | | ALPHA: (3663) implies:
% 276.70/46.03 | | (3664) ~ (all_1538_0 = one_one_int)
% 276.70/46.03 | | (3665) legendre(all_1538_2, all_1538_4) = all_1538_0
% 276.70/46.03 | |
% 276.70/46.03 | | REDUCE: (2385), (3647), (3665) imply:
% 276.70/46.03 | | (3666) legendre(all_787_0, all_1091_1) = all_1538_0
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (288) with one_one_int, all_1538_0, all_1091_1,
% 276.70/46.03 | | all_787_0, simplifying with (3655), (3666) gives:
% 276.70/46.03 | | (3667) all_1538_0 = one_one_int
% 276.70/46.03 | |
% 276.70/46.03 | | REDUCE: (3664), (3667) imply:
% 276.70/46.03 | | (3668) $false
% 276.70/46.03 | |
% 276.70/46.03 | | CLOSE: (3668) is inconsistent.
% 276.70/46.03 | |
% 276.70/46.03 | Case 2:
% 276.70/46.03 | |
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (281) with all_1708_2, all_1713_2, all_1091_1,
% 276.70/46.03 | | all_1708_9, simplifying with (3659), (3660) gives:
% 276.70/46.03 | | (3669) all_1713_2 = all_1708_2
% 276.70/46.03 | |
% 276.70/46.03 | | REDUCE: (1011), (3669) imply:
% 276.70/46.03 | | (3670) hBOOL(all_1708_2)
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (fact_67_zadd__commute) with one_one_int,
% 276.70/46.03 | | all_948_2, all_948_1, simplifying with (275), (468), (2529)
% 276.70/46.03 | | gives:
% 276.70/46.03 | | (3671) plus_plus_int(all_948_2, one_one_int) = all_948_1 & int(all_948_1)
% 276.70/46.03 | |
% 276.70/46.03 | | ALPHA: (3671) implies:
% 276.70/46.03 | | (3672) int(all_948_1)
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (fact_67_zadd__commute) with all_1091_2,
% 276.70/46.03 | | one_one_int, all_1091_1, simplifying with (275), (572), (3576)
% 276.70/46.03 | | gives:
% 276.70/46.03 | | (3673) plus_plus_int(one_one_int, all_1091_2) = all_1091_1 &
% 276.70/46.03 | | int(all_1091_1)
% 276.70/46.03 | |
% 276.70/46.03 | | ALPHA: (3673) implies:
% 276.70/46.03 | | (3674) int(all_1091_1)
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (35) with one_one_nat, one_one_int, simplifying
% 276.70/46.03 | | with (61), (273) gives:
% 276.70/46.03 | | (3675) number_number_of_int(one_one_int) = one_one_int & int(one_one_int)
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (258) with zero_zero_nat, zero_zero_int,
% 276.70/46.03 | | simplifying with (274), (2506) gives:
% 276.70/46.03 | | (3676) abs_abs_int(zero_zero_int) = zero_zero_int & int(zero_zero_int)
% 276.70/46.03 | |
% 276.70/46.03 | | ALPHA: (3676) implies:
% 276.70/46.03 | | (3677) int(zero_zero_int)
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (35) with all_859_1, all_852_1, simplifying with
% 276.70/46.03 | | (3357), (3359) gives:
% 276.70/46.03 | | (3678) number_number_of_int(all_852_1) = all_852_1 & int(all_852_1)
% 276.70/46.03 | |
% 276.70/46.03 | | ALPHA: (3678) implies:
% 276.70/46.03 | | (3679) int(all_852_1)
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.03 | | zero_zero_int, all_1091_1, all_793_1, all_793_0, all_793_1,
% 276.70/46.03 | | all_1174_0, simplifying with (329), (647), (1366), (3010),
% 276.70/46.03 | | (3662), (3674), (3677) gives:
% 276.70/46.03 | | (3680) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, all_1091_1) = v1 &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.03 | | int(v0))
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (115) with zero_zero_int, min, zero_zero_int,
% 276.70/46.03 | | all_948_1, all_793_1, all_806_0, all_793_1, all_953_0,
% 276.70/46.03 | | simplifying with (260), (343), (472), (1366), (2524), (3005),
% 276.70/46.03 | | (3672), (3677) gives:
% 276.70/46.03 | | (3681) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, all_948_1) = v1 &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, min) = v0 & int(v1) & int(v0))
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.03 | | zero_zero_int, all_948_1, all_793_1, all_793_0, all_793_1,
% 276.70/46.03 | | all_953_0, simplifying with (329), (472), (1366), (3005),
% 276.70/46.03 | | (3010), (3672), (3677) gives:
% 276.70/46.03 | | (3682) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, all_948_1) = v1 &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.03 | | int(v0))
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.03 | | zero_zero_int, all_852_1, all_793_1, all_793_0, all_793_1,
% 276.70/46.03 | | all_852_0, simplifying with (329), (371), (1366), (2518),
% 276.70/46.03 | | (3010), (3677), (3679) gives:
% 276.70/46.03 | | (3683) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, all_852_1) = v1 &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.03 | | int(v0))
% 276.70/46.03 | |
% 276.70/46.03 | | GROUND_INST: instantiating (114) with zero_zero_int, all_948_1,
% 276.70/46.03 | | zero_zero_int, min, all_793_1, all_953_0, all_793_1, all_806_0,
% 276.70/46.03 | | simplifying with (260), (343), (472), (1366), (2524), (3005),
% 276.70/46.03 | | (3672), (3677) gives:
% 276.70/46.03 | | (3684) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, all_948_1) = v0 &
% 276.70/46.03 | | minus_minus_int(zero_zero_int, min) = v1 & int(v1) & int(v0))
% 276.70/46.03 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with zero_zero_int, all_1091_1,
% 276.70/46.04 | | zero_zero_int, zero_zero_int, all_793_1, all_1174_0, all_793_1,
% 276.70/46.04 | | all_793_0, simplifying with (329), (647), (1366), (3010),
% 276.70/46.04 | | (3662), (3674), (3677) gives:
% 276.70/46.04 | | (3685) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, all_1091_1) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with zero_zero_int, all_948_1,
% 276.70/46.04 | | zero_zero_int, zero_zero_int, all_793_1, all_953_0, all_793_1,
% 276.70/46.04 | | all_793_0, simplifying with (329), (472), (1366), (3005),
% 276.70/46.04 | | (3010), (3672), (3677) gives:
% 276.70/46.04 | | (3686) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, all_948_1) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with zero_zero_int, all_852_1,
% 276.70/46.04 | | zero_zero_int, zero_zero_int, all_793_1, all_852_0, all_793_1,
% 276.70/46.04 | | all_793_0, simplifying with (329), (371), (1366), (2518),
% 276.70/46.04 | | (3010), (3677), (3679) gives:
% 276.70/46.04 | | (3687) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, all_852_1) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with zero_zero_int, one_one_int,
% 276.70/46.04 | | zero_zero_int, zero_zero_int, all_793_1, all_795_0, all_793_1,
% 276.70/46.04 | | all_793_0, simplifying with (275), (329), (1366), (2526),
% 276.70/46.04 | | (3007), (3010), (3677) gives:
% 276.70/46.04 | | (3688) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, one_one_int) = v0 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, one_one_int, all_793_1, all_793_0, all_793_1,
% 276.70/46.04 | | all_795_0, simplifying with (275), (329), (1366), (2526),
% 276.70/46.04 | | (3007), (3010), (3677) gives:
% 276.70/46.04 | | (3689) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, one_one_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | one_one_int, t, all_793_1, all_793_0, all_799_1, all_799_0,
% 276.70/46.04 | | simplifying with (177), (275), (329), (335), (336), (337),
% 276.70/46.04 | | (1366), (3010), (3677) gives:
% 276.70/46.04 | | (3690) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 &
% 276.70/46.04 | | minus_minus_int(one_one_int, t) = v1 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with zero_zero_int, all_948_1, one_one_int,
% 276.70/46.04 | | zero_zero_int, all_793_1, all_953_0, all_799_1, all_824_0,
% 276.70/46.04 | | simplifying with (275), (337), (359), (472), (1366), (2521),
% 276.70/46.04 | | (3005), (3672), (3677) gives:
% 276.70/46.04 | | (3691) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, all_948_1) = v0 &
% 276.70/46.04 | | minus_minus_int(one_one_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with one_one_int, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_948_1, all_799_1, all_824_0, all_793_1,
% 276.70/46.04 | | all_953_0, simplifying with (275), (337), (359), (472), (1366),
% 276.70/46.04 | | (2521), (3005), (3672), (3677) gives:
% 276.70/46.04 | | (3692) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, all_948_1) = v1 &
% 276.70/46.04 | | minus_minus_int(one_one_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with one_one_int, t, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_799_1, all_799_0, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (177), (275), (329), (335), (336), (337),
% 276.70/46.04 | | (1366), (3010), (3677) gives:
% 276.70/46.04 | | (3693) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 &
% 276.70/46.04 | | minus_minus_int(one_one_int, t) = v0 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (180) with zero_zero_int, all_948_1, all_793_1,
% 276.70/46.04 | | all_953_0, simplifying with (472), (1366), (3005), (3672),
% 276.70/46.04 | | (3677) gives:
% 276.70/46.04 | | (3694) ? [v0: int] : ? [v1: fun_int_bool] : ? [v2: bool] :
% 276.70/46.04 | | (minus_minus_int(zero_zero_int, all_948_1) = v0 &
% 276.70/46.04 | | hAPP_i1948725293t_bool(ord_less_int, v0) = v1 &
% 276.70/46.04 | | hAPP_int_bool(v1, zero_zero_int) = v2 & fun_int_bool(v1) &
% 276.70/46.04 | | int(v0) & bool(v2) & hBOOL(v2))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (179) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | all_793_1, all_793_0, simplifying with (329), (1366), (3010),
% 276.70/46.04 | | (3677) gives:
% 276.70/46.04 | | (3695) ? [v0: int] : ? [v1: fun_int_bool] : ? [v2: bool] :
% 276.70/46.04 | | (minus_minus_int(zero_zero_int, zero_zero_int) = v0 &
% 276.70/46.04 | | hAPP_i1948725293t_bool(ord_less_int, v0) = v1 &
% 276.70/46.04 | | hAPP_int_bool(v1, zero_zero_int) = v2 & fun_int_bool(v1) &
% 276.70/46.04 | | int(v0) & bool(v2) & ~ hBOOL(v2))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with min, min, zero_zero_int, all_948_1,
% 276.70/46.04 | | all_791_1, all_804_0, all_793_1, all_953_0, simplifying with
% 276.70/46.04 | | (260), (327), (339), (472), (1366), (2525), (3005), (3672),
% 276.70/46.04 | | (3677) gives:
% 276.70/46.04 | | (3696) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(min,
% 276.70/46.04 | | min) = v0 & minus_minus_int(zero_zero_int, all_948_1) = v1 &
% 276.70/46.04 | | int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with min, zero_zero_int, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_791_1, all_791_0, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (260), (326), (327), (329), (1366), (3009),
% 276.70/46.04 | | (3010), (3677) gives:
% 276.70/46.04 | | (3697) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(min,
% 276.70/46.04 | | zero_zero_int) = v0 & minus_minus_int(zero_zero_int,
% 276.70/46.04 | | zero_zero_int) = v1 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int, m1,
% 276.70/46.04 | | all_948_1, all_793_1, all_793_0, all_948_3, all_948_0,
% 276.70/46.04 | | simplifying with (47), (329), (466), (467), (470), (1366),
% 276.70/46.04 | | (3010), (3672), (3677) gives:
% 276.70/46.04 | | (3698) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(m1,
% 276.70/46.04 | | all_948_1) = v1 & minus_minus_int(zero_zero_int,
% 276.70/46.04 | | zero_zero_int) = v0 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with m1, all_948_1, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_948_3, all_948_0, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (47), (329), (466), (467), (470), (1366),
% 276.70/46.04 | | (3010), (3672), (3677) gives:
% 276.70/46.04 | | (3699) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(m1,
% 276.70/46.04 | | all_948_1) = v0 & minus_minus_int(zero_zero_int,
% 276.70/46.04 | | zero_zero_int) = v1 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int, s,
% 276.70/46.04 | | all_1091_1, all_793_1, all_793_0, all_1772_9, all_1772_2,
% 276.70/46.04 | | simplifying with (236), (329), (1073), (1076), (1366), (3010),
% 276.70/46.04 | | (3658), (3674), (3677) gives:
% 276.70/46.04 | | (3700) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(s,
% 276.70/46.04 | | all_1091_1) = v1 & minus_minus_int(zero_zero_int,
% 276.70/46.04 | | zero_zero_int) = v0 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with s, all_1091_1, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_1772_9, all_1772_2, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (236), (329), (1073), (1076), (1366), (3010),
% 276.70/46.04 | | (3658), (3674), (3677) gives:
% 276.70/46.04 | | (3701) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(s,
% 276.70/46.04 | | all_1091_1) = v0 & minus_minus_int(zero_zero_int,
% 276.70/46.04 | | zero_zero_int) = v1 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int, t,
% 276.70/46.04 | | all_1091_1, all_793_1, all_793_0, all_1172_7, all_1172_0,
% 276.70/46.04 | | simplifying with (177), (329), (637), (640), (1366), (3010),
% 276.70/46.04 | | (3661), (3674), (3677) gives:
% 276.70/46.04 | | (3702) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(t,
% 276.70/46.04 | | all_1091_1) = v1 & minus_minus_int(zero_zero_int,
% 276.70/46.04 | | zero_zero_int) = v0 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with t, all_1091_1, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_1172_7, all_1172_0, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (177), (329), (637), (640), (1366), (3010),
% 276.70/46.04 | | (3661), (3674), (3677) gives:
% 276.70/46.04 | | (3703) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) & minus_minus_int(t,
% 276.70/46.04 | | all_1091_1) = v0 & minus_minus_int(zero_zero_int,
% 276.70/46.04 | | zero_zero_int) = v1 & int(v1) & int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | all_948_1, all_1091_1, all_793_1, all_793_0, all_1708_9,
% 276.70/46.04 | | all_1708_2, simplifying with (329), (1366), (3004), (3010),
% 276.70/46.04 | | (3660), (3670), (3672), (3674), (3677) gives:
% 276.70/46.04 | | (3704) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(all_948_1, all_1091_1) = v1 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with all_948_1, all_1091_1, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_1708_9, all_1708_2, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (329), (1366), (3004), (3010), (3660), (3670),
% 276.70/46.04 | | (3672), (3674), (3677) gives:
% 276.70/46.04 | | (3705) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(all_948_1, all_1091_1) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | all_1802_5, all_1091_1, all_793_1, all_793_0, all_1802_3,
% 276.70/46.04 | | all_1802_2, simplifying with (329), (1109), (1110), (1113),
% 276.70/46.04 | | (1366), (3010), (3657), (3674), (3677) gives:
% 276.70/46.04 | | (3706) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(all_1802_5, all_1091_1) = v1 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with all_1802_5, all_1091_1, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_1802_3, all_1802_2, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (329), (1109), (1110), (1113), (1366), (3010),
% 276.70/46.04 | | (3657), (3674), (3677) gives:
% 276.70/46.04 | | (3707) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(all_1802_5, all_1091_1) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (115) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | all_1920_5, all_1091_1, all_793_1, all_793_0, all_1920_3,
% 276.70/46.04 | | all_1920_2, simplifying with (329), (1208), (1209), (1212),
% 276.70/46.04 | | (1366), (3010), (3656), (3674), (3677) gives:
% 276.70/46.04 | | (3708) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(all_1920_5, all_1091_1) = v1 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (114) with all_1920_5, all_1091_1, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_1920_3, all_1920_2, all_793_1, all_793_0,
% 276.70/46.04 | | simplifying with (329), (1208), (1209), (1212), (1366), (3010),
% 276.70/46.04 | | (3656), (3674), (3677) gives:
% 276.70/46.04 | | (3709) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(all_1920_5, all_1091_1) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (77) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, min, all_744_0, all_789_0, all_744_0, all_774_0,
% 276.70/46.04 | | simplifying with (260), (290), (314), (2527), (2528), (3008),
% 276.70/46.04 | | (3677) gives:
% 276.70/46.04 | | (3710) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, min) = v1 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v0 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (78) with zero_zero_int, min, zero_zero_int,
% 276.70/46.04 | | zero_zero_int, all_744_0, all_774_0, all_744_0, all_789_0,
% 276.70/46.04 | | simplifying with (260), (290), (314), (2527), (2528), (3008),
% 276.70/46.04 | | (3677) gives:
% 276.70/46.04 | | (3711) ? [v0: int] : ? [v1: int] : ( ~ (v1 = v0) &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, min) = v0 &
% 276.70/46.04 | | minus_minus_int(zero_zero_int, zero_zero_int) = v1 & int(v1) &
% 276.70/46.04 | | int(v0))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (76) with zero_zero_int, zero_zero_int,
% 276.70/46.04 | | all_744_0, all_789_0, simplifying with (290), (2527), (3008),
% 276.70/46.04 | | (3677) gives:
% 276.70/46.04 | | (3712) ? [v0: int] : ? [v1: fun_int_bool] : ? [v2: bool] :
% 276.70/46.04 | | (minus_minus_int(zero_zero_int, zero_zero_int) = v0 &
% 276.70/46.04 | | hAPP_i1948725293t_bool(ord_less_eq_int, v0) = v1 &
% 276.70/46.04 | | hAPP_int_bool(v1, zero_zero_int) = v2 & fun_int_bool(v1) &
% 276.70/46.04 | | int(v0) & bool(v2) & hBOOL(v2))
% 276.70/46.04 | |
% 276.70/46.04 | | GROUND_INST: instantiating (34) with all_948_1, all_861_0, all_1032_3,
% 276.70/46.04 | | all_859_1, simplifying with (3001), (3002), (3006), (3356),
% 276.70/46.04 | | (3672) gives:
% 276.70/46.04 | | (3713) all_948_1 = zero_zero_int
% 276.70/46.04 | |
% 276.70/46.04 | | DELTA: instantiating (3701) with fresh symbols all_2128_0, all_2128_1 gives:
% 276.70/46.04 | | (3714) ~ (all_2128_0 = all_2128_1) & minus_minus_int(s, all_1091_1) =
% 276.70/46.04 | | all_2128_1 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.04 | | all_2128_0 & int(all_2128_0) & int(all_2128_1)
% 276.70/46.04 | |
% 276.70/46.04 | | ALPHA: (3714) implies:
% 276.70/46.04 | | (3715) minus_minus_int(zero_zero_int, zero_zero_int) = all_2128_0
% 276.70/46.04 | |
% 276.70/46.04 | | DELTA: instantiating (3697) with fresh symbols all_2148_0, all_2148_1 gives:
% 276.70/46.04 | | (3716) ~ (all_2148_0 = all_2148_1) & minus_minus_int(min, zero_zero_int)
% 276.70/46.04 | | = all_2148_1 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.04 | | all_2148_0 & int(all_2148_0) & int(all_2148_1)
% 276.70/46.04 | |
% 276.70/46.04 | | ALPHA: (3716) implies:
% 276.70/46.04 | | (3717) minus_minus_int(zero_zero_int, zero_zero_int) = all_2148_0
% 276.70/46.04 | |
% 276.70/46.04 | | DELTA: instantiating (3696) with fresh symbols all_2152_0, all_2152_1 gives:
% 276.70/46.04 | | (3718) ~ (all_2152_0 = all_2152_1) & minus_minus_int(min, min) =
% 276.70/46.04 | | all_2152_1 & minus_minus_int(zero_zero_int, all_948_1) =
% 276.70/46.04 | | all_2152_0 & int(all_2152_0) & int(all_2152_1)
% 276.70/46.04 | |
% 276.70/46.04 | | ALPHA: (3718) implies:
% 276.70/46.04 | | (3719) minus_minus_int(zero_zero_int, all_948_1) = all_2152_0
% 276.70/46.04 | |
% 276.70/46.04 | | DELTA: instantiating (3711) with fresh symbols all_2191_0, all_2191_1 gives:
% 276.70/46.05 | | (3720) ~ (all_2191_0 = all_2191_1) & minus_minus_int(zero_zero_int, min)
% 276.70/46.05 | | = all_2191_1 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.05 | | all_2191_0 & int(all_2191_0) & int(all_2191_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3720) implies:
% 276.70/46.05 | | (3721) minus_minus_int(zero_zero_int, zero_zero_int) = all_2191_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3710) with fresh symbols all_2197_0, all_2197_1 gives:
% 276.70/46.05 | | (3722) ~ (all_2197_0 = all_2197_1) & minus_minus_int(zero_zero_int, min)
% 276.70/46.05 | | = all_2197_0 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.05 | | all_2197_1 & int(all_2197_0) & int(all_2197_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3722) implies:
% 276.70/46.05 | | (3723) minus_minus_int(zero_zero_int, zero_zero_int) = all_2197_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3707) with fresh symbols all_2201_0, all_2201_1 gives:
% 276.70/46.05 | | (3724) ~ (all_2201_0 = all_2201_1) & minus_minus_int(all_1802_5,
% 276.70/46.05 | | all_1091_1) = all_2201_1 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2201_0 & int(all_2201_0) & int(all_2201_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3724) implies:
% 276.70/46.05 | | (3725) minus_minus_int(zero_zero_int, zero_zero_int) = all_2201_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3706) with fresh symbols all_2207_0, all_2207_1 gives:
% 276.70/46.05 | | (3726) ~ (all_2207_0 = all_2207_1) & minus_minus_int(all_1802_5,
% 276.70/46.05 | | all_1091_1) = all_2207_0 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2207_1 & int(all_2207_0) & int(all_2207_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3726) implies:
% 276.70/46.05 | | (3727) minus_minus_int(zero_zero_int, zero_zero_int) = all_2207_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3709) with fresh symbols all_2281_0, all_2281_1 gives:
% 276.70/46.05 | | (3728) ~ (all_2281_0 = all_2281_1) & minus_minus_int(all_1920_5,
% 276.70/46.05 | | all_1091_1) = all_2281_1 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2281_0 & int(all_2281_0) & int(all_2281_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3728) implies:
% 276.70/46.05 | | (3729) minus_minus_int(zero_zero_int, zero_zero_int) = all_2281_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3708) with fresh symbols all_2283_0, all_2283_1 gives:
% 276.70/46.05 | | (3730) ~ (all_2283_0 = all_2283_1) & minus_minus_int(all_1920_5,
% 276.70/46.05 | | all_1091_1) = all_2283_0 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2283_1 & int(all_2283_0) & int(all_2283_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3730) implies:
% 276.70/46.05 | | (3731) minus_minus_int(zero_zero_int, zero_zero_int) = all_2283_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3693) with fresh symbols all_2327_0, all_2327_1 gives:
% 276.70/46.05 | | (3732) ~ (all_2327_0 = all_2327_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2327_0 & minus_minus_int(one_one_int, t) =
% 276.70/46.05 | | all_2327_1 & int(all_2327_0) & int(all_2327_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3732) implies:
% 276.70/46.05 | | (3733) minus_minus_int(zero_zero_int, zero_zero_int) = all_2327_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3686) with fresh symbols all_2331_0, all_2331_1 gives:
% 276.70/46.05 | | (3734) ~ (all_2331_0 = all_2331_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_948_1) = all_2331_1 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2331_0 & int(all_2331_0) & int(all_2331_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3734) implies:
% 276.70/46.05 | | (3735) ~ (all_2331_0 = all_2331_1)
% 276.70/46.05 | | (3736) minus_minus_int(zero_zero_int, zero_zero_int) = all_2331_0
% 276.70/46.05 | | (3737) minus_minus_int(zero_zero_int, all_948_1) = all_2331_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3685) with fresh symbols all_2333_0, all_2333_1 gives:
% 276.70/46.05 | | (3738) ~ (all_2333_0 = all_2333_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_1091_1) = all_2333_1 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2333_0 & int(all_2333_0) & int(all_2333_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3738) implies:
% 276.70/46.05 | | (3739) minus_minus_int(zero_zero_int, zero_zero_int) = all_2333_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3682) with fresh symbols all_2339_0, all_2339_1 gives:
% 276.70/46.05 | | (3740) ~ (all_2339_0 = all_2339_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_948_1) = all_2339_0 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2339_1 & int(all_2339_0) & int(all_2339_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3740) implies:
% 276.70/46.05 | | (3741) minus_minus_int(zero_zero_int, zero_zero_int) = all_2339_1
% 276.70/46.05 | | (3742) minus_minus_int(zero_zero_int, all_948_1) = all_2339_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3680) with fresh symbols all_2341_0, all_2341_1 gives:
% 276.70/46.05 | | (3743) ~ (all_2341_0 = all_2341_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_1091_1) = all_2341_0 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2341_1 & int(all_2341_0) & int(all_2341_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3743) implies:
% 276.70/46.05 | | (3744) minus_minus_int(zero_zero_int, zero_zero_int) = all_2341_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3684) with fresh symbols all_2345_0, all_2345_1 gives:
% 276.70/46.05 | | (3745) ~ (all_2345_0 = all_2345_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_948_1) = all_2345_1 & minus_minus_int(zero_zero_int, min) =
% 276.70/46.05 | | all_2345_0 & int(all_2345_0) & int(all_2345_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3745) implies:
% 276.70/46.05 | | (3746) minus_minus_int(zero_zero_int, all_948_1) = all_2345_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3692) with fresh symbols all_2355_0, all_2355_1 gives:
% 276.70/46.05 | | (3747) ~ (all_2355_0 = all_2355_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_948_1) = all_2355_0 & minus_minus_int(one_one_int,
% 276.70/46.05 | | zero_zero_int) = all_2355_1 & int(all_2355_0) & int(all_2355_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3747) implies:
% 276.70/46.05 | | (3748) minus_minus_int(zero_zero_int, all_948_1) = all_2355_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3700) with fresh symbols all_2363_0, all_2363_1 gives:
% 276.70/46.05 | | (3749) ~ (all_2363_0 = all_2363_1) & minus_minus_int(s, all_1091_1) =
% 276.70/46.05 | | all_2363_0 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.05 | | all_2363_1 & int(all_2363_0) & int(all_2363_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3749) implies:
% 276.70/46.05 | | (3750) minus_minus_int(zero_zero_int, zero_zero_int) = all_2363_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3683) with fresh symbols all_2387_0, all_2387_1 gives:
% 276.70/46.05 | | (3751) ~ (all_2387_0 = all_2387_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_852_1) = all_2387_0 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2387_1 & int(all_2387_0) & int(all_2387_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3751) implies:
% 276.70/46.05 | | (3752) minus_minus_int(zero_zero_int, zero_zero_int) = all_2387_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3691) with fresh symbols all_2389_0, all_2389_1 gives:
% 276.70/46.05 | | (3753) ~ (all_2389_0 = all_2389_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_948_1) = all_2389_1 & minus_minus_int(one_one_int,
% 276.70/46.05 | | zero_zero_int) = all_2389_0 & int(all_2389_0) & int(all_2389_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3753) implies:
% 276.70/46.05 | | (3754) minus_minus_int(zero_zero_int, all_948_1) = all_2389_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3681) with fresh symbols all_2393_0, all_2393_1 gives:
% 276.70/46.05 | | (3755) ~ (all_2393_0 = all_2393_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_948_1) = all_2393_0 & minus_minus_int(zero_zero_int, min) =
% 276.70/46.05 | | all_2393_1 & int(all_2393_0) & int(all_2393_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3755) implies:
% 276.70/46.05 | | (3756) minus_minus_int(zero_zero_int, all_948_1) = all_2393_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3690) with fresh symbols all_2399_0, all_2399_1 gives:
% 276.70/46.05 | | (3757) ~ (all_2399_0 = all_2399_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2399_1 & minus_minus_int(one_one_int, t) =
% 276.70/46.05 | | all_2399_0 & int(all_2399_0) & int(all_2399_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3757) implies:
% 276.70/46.05 | | (3758) minus_minus_int(zero_zero_int, zero_zero_int) = all_2399_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3699) with fresh symbols all_2401_0, all_2401_1 gives:
% 276.70/46.05 | | (3759) ~ (all_2401_0 = all_2401_1) & minus_minus_int(m1, all_948_1) =
% 276.70/46.05 | | all_2401_1 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.05 | | all_2401_0 & int(all_2401_0) & int(all_2401_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3759) implies:
% 276.70/46.05 | | (3760) minus_minus_int(zero_zero_int, zero_zero_int) = all_2401_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3698) with fresh symbols all_2407_0, all_2407_1 gives:
% 276.70/46.05 | | (3761) ~ (all_2407_0 = all_2407_1) & minus_minus_int(m1, all_948_1) =
% 276.70/46.05 | | all_2407_0 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.05 | | all_2407_1 & int(all_2407_0) & int(all_2407_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3761) implies:
% 276.70/46.05 | | (3762) minus_minus_int(zero_zero_int, zero_zero_int) = all_2407_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3689) with fresh symbols all_2409_0, all_2409_1 gives:
% 276.70/46.05 | | (3763) ~ (all_2409_0 = all_2409_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2409_1 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | one_one_int) = all_2409_0 & int(all_2409_0) & int(all_2409_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3763) implies:
% 276.70/46.05 | | (3764) minus_minus_int(zero_zero_int, zero_zero_int) = all_2409_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3688) with fresh symbols all_2411_0, all_2411_1 gives:
% 276.70/46.05 | | (3765) ~ (all_2411_0 = all_2411_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2411_0 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | one_one_int) = all_2411_1 & int(all_2411_0) & int(all_2411_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3765) implies:
% 276.70/46.05 | | (3766) minus_minus_int(zero_zero_int, zero_zero_int) = all_2411_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3687) with fresh symbols all_2413_0, all_2413_1 gives:
% 276.70/46.05 | | (3767) ~ (all_2413_0 = all_2413_1) & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | all_852_1) = all_2413_1 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2413_0 & int(all_2413_0) & int(all_2413_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3767) implies:
% 276.70/46.05 | | (3768) minus_minus_int(zero_zero_int, zero_zero_int) = all_2413_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3703) with fresh symbols all_2435_0, all_2435_1 gives:
% 276.70/46.05 | | (3769) ~ (all_2435_0 = all_2435_1) & minus_minus_int(t, all_1091_1) =
% 276.70/46.05 | | all_2435_1 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.05 | | all_2435_0 & int(all_2435_0) & int(all_2435_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3769) implies:
% 276.70/46.05 | | (3770) minus_minus_int(zero_zero_int, zero_zero_int) = all_2435_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3702) with fresh symbols all_2453_0, all_2453_1 gives:
% 276.70/46.05 | | (3771) ~ (all_2453_0 = all_2453_1) & minus_minus_int(t, all_1091_1) =
% 276.70/46.05 | | all_2453_0 & minus_minus_int(zero_zero_int, zero_zero_int) =
% 276.70/46.05 | | all_2453_1 & int(all_2453_0) & int(all_2453_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3771) implies:
% 276.70/46.05 | | (3772) minus_minus_int(zero_zero_int, zero_zero_int) = all_2453_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3705) with fresh symbols all_2473_0, all_2473_1 gives:
% 276.70/46.05 | | (3773) ~ (all_2473_0 = all_2473_1) & minus_minus_int(all_948_1,
% 276.70/46.05 | | all_1091_1) = all_2473_1 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2473_0 & int(all_2473_0) & int(all_2473_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3773) implies:
% 276.70/46.05 | | (3774) minus_minus_int(zero_zero_int, zero_zero_int) = all_2473_0
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3704) with fresh symbols all_2475_0, all_2475_1 gives:
% 276.70/46.05 | | (3775) ~ (all_2475_0 = all_2475_1) & minus_minus_int(all_948_1,
% 276.70/46.05 | | all_1091_1) = all_2475_0 & minus_minus_int(zero_zero_int,
% 276.70/46.05 | | zero_zero_int) = all_2475_1 & int(all_2475_0) & int(all_2475_1)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3775) implies:
% 276.70/46.05 | | (3776) minus_minus_int(zero_zero_int, zero_zero_int) = all_2475_1
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3712) with fresh symbols all_2525_0, all_2525_1,
% 276.70/46.05 | | all_2525_2 gives:
% 276.70/46.05 | | (3777) minus_minus_int(zero_zero_int, zero_zero_int) = all_2525_2 &
% 276.70/46.05 | | hAPP_i1948725293t_bool(ord_less_eq_int, all_2525_2) = all_2525_1 &
% 276.70/46.05 | | hAPP_int_bool(all_2525_1, zero_zero_int) = all_2525_0 &
% 276.70/46.05 | | fun_int_bool(all_2525_1) & int(all_2525_2) & bool(all_2525_0) &
% 276.70/46.05 | | hBOOL(all_2525_0)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3777) implies:
% 276.70/46.05 | | (3778) minus_minus_int(zero_zero_int, zero_zero_int) = all_2525_2
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3694) with fresh symbols all_2669_0, all_2669_1,
% 276.70/46.05 | | all_2669_2 gives:
% 276.70/46.05 | | (3779) minus_minus_int(zero_zero_int, all_948_1) = all_2669_2 &
% 276.70/46.05 | | hAPP_i1948725293t_bool(ord_less_int, all_2669_2) = all_2669_1 &
% 276.70/46.05 | | hAPP_int_bool(all_2669_1, zero_zero_int) = all_2669_0 &
% 276.70/46.05 | | fun_int_bool(all_2669_1) & int(all_2669_2) & bool(all_2669_0) &
% 276.70/46.05 | | hBOOL(all_2669_0)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3779) implies:
% 276.70/46.05 | | (3780) minus_minus_int(zero_zero_int, all_948_1) = all_2669_2
% 276.70/46.05 | |
% 276.70/46.05 | | DELTA: instantiating (3695) with fresh symbols all_2671_0, all_2671_1,
% 276.70/46.05 | | all_2671_2 gives:
% 276.70/46.05 | | (3781) minus_minus_int(zero_zero_int, zero_zero_int) = all_2671_2 &
% 276.70/46.05 | | hAPP_i1948725293t_bool(ord_less_int, all_2671_2) = all_2671_1 &
% 276.70/46.05 | | hAPP_int_bool(all_2671_1, zero_zero_int) = all_2671_0 &
% 276.70/46.05 | | fun_int_bool(all_2671_1) & int(all_2671_2) & bool(all_2671_0) & ~
% 276.70/46.05 | | hBOOL(all_2671_0)
% 276.70/46.05 | |
% 276.70/46.05 | | ALPHA: (3781) implies:
% 276.70/46.05 | | (3782) minus_minus_int(zero_zero_int, zero_zero_int) = all_2671_2
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3780) imply:
% 276.70/46.05 | | (3783) minus_minus_int(zero_zero_int, zero_zero_int) = all_2669_2
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3756) imply:
% 276.70/46.05 | | (3784) minus_minus_int(zero_zero_int, zero_zero_int) = all_2393_0
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3754) imply:
% 276.70/46.05 | | (3785) minus_minus_int(zero_zero_int, zero_zero_int) = all_2389_1
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3748) imply:
% 276.70/46.05 | | (3786) minus_minus_int(zero_zero_int, zero_zero_int) = all_2355_0
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3746) imply:
% 276.70/46.05 | | (3787) minus_minus_int(zero_zero_int, zero_zero_int) = all_2345_1
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3742) imply:
% 276.70/46.05 | | (3788) minus_minus_int(zero_zero_int, zero_zero_int) = all_2339_0
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3737) imply:
% 276.70/46.05 | | (3789) minus_minus_int(zero_zero_int, zero_zero_int) = all_2331_1
% 276.70/46.05 | |
% 276.70/46.05 | | REDUCE: (3713), (3719) imply:
% 276.70/46.05 | | (3790) minus_minus_int(zero_zero_int, zero_zero_int) = all_2152_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2152_0, all_2191_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3721), (3790) gives:
% 276.70/46.05 | | (3791) all_2191_0 = all_2152_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2152_0, all_2197_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3723), (3790) gives:
% 276.70/46.05 | | (3792) all_2197_1 = all_2152_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2197_1, all_2327_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3723), (3733) gives:
% 276.70/46.05 | | (3793) all_2327_0 = all_2197_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2339_1, all_2339_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3741), (3788) gives:
% 276.70/46.05 | | (3794) all_2339_0 = all_2339_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2363_1, all_2387_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3750), (3752) gives:
% 276.70/46.05 | | (3795) all_2387_1 = all_2363_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2331_1, all_2387_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3752), (3789) gives:
% 276.70/46.05 | | (3796) all_2387_1 = all_2331_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2345_1, all_2389_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3785), (3787) gives:
% 276.70/46.05 | | (3797) all_2389_1 = all_2345_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2327_0, all_2399_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3733), (3758) gives:
% 276.70/46.05 | | (3798) all_2399_1 = all_2327_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2281_0, all_2399_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3729), (3758) gives:
% 276.70/46.05 | | (3799) all_2399_1 = all_2281_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2389_1, all_2401_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3760), (3785) gives:
% 276.70/46.05 | | (3800) all_2401_0 = all_2389_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2363_1, all_2401_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3750), (3760) gives:
% 276.70/46.05 | | (3801) all_2401_0 = all_2363_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2327_0, all_2401_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3733), (3760) gives:
% 276.70/46.05 | | (3802) all_2401_0 = all_2327_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2283_1, all_2401_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3731), (3760) gives:
% 276.70/46.05 | | (3803) all_2401_0 = all_2283_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2401_0, all_2407_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3760), (3762) gives:
% 276.70/46.05 | | (3804) all_2407_1 = all_2401_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2355_0, all_2407_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3762), (3786) gives:
% 276.70/46.05 | | (3805) all_2407_1 = all_2355_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2339_0, all_2409_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3764), (3788) gives:
% 276.70/46.05 | | (3806) all_2409_1 = all_2339_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2409_1, all_2411_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3764), (3766) gives:
% 276.70/46.05 | | (3807) all_2411_0 = all_2409_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2411_0, all_2413_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3766), (3768) gives:
% 276.70/46.05 | | (3808) all_2413_0 = all_2411_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2393_0, all_2435_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3770), (3784) gives:
% 276.70/46.05 | | (3809) all_2435_0 = all_2393_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2339_1, all_2435_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3741), (3770) gives:
% 276.70/46.05 | | (3810) all_2435_0 = all_2339_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2207_1, all_2435_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3727), (3770) gives:
% 276.70/46.05 | | (3811) all_2435_0 = all_2207_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2341_1, all_2453_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3744), (3772) gives:
% 276.70/46.05 | | (3812) all_2453_1 = all_2341_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2207_1, all_2453_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3727), (3772) gives:
% 276.70/46.05 | | (3813) all_2453_1 = all_2207_1
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2201_0, all_2453_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3725), (3772) gives:
% 276.70/46.05 | | (3814) all_2453_1 = all_2201_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2191_0, all_2453_1, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3721), (3772) gives:
% 276.70/46.05 | | (3815) all_2453_1 = all_2191_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2435_0, all_2473_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3770), (3774) gives:
% 276.70/46.05 | | (3816) all_2473_0 = all_2435_0
% 276.70/46.05 | |
% 276.70/46.05 | | GROUND_INST: instantiating (287) with all_2333_0, all_2473_0, zero_zero_int,
% 276.70/46.05 | | zero_zero_int, simplifying with (3739), (3774) gives:
% 276.70/46.06 | | (3817) all_2473_0 = all_2333_0
% 276.70/46.06 | |
% 276.70/46.06 | | GROUND_INST: instantiating (287) with all_2393_0, all_2475_1, zero_zero_int,
% 276.70/46.06 | | zero_zero_int, simplifying with (3776), (3784) gives:
% 276.70/46.06 | | (3818) all_2475_1 = all_2393_0
% 276.70/46.06 | |
% 276.70/46.06 | | GROUND_INST: instantiating (287) with all_2475_1, all_2525_2, zero_zero_int,
% 276.70/46.06 | | zero_zero_int, simplifying with (3776), (3778) gives:
% 276.70/46.06 | | (3819) all_2525_2 = all_2475_1
% 276.70/46.06 | |
% 276.70/46.06 | | GROUND_INST: instantiating (287) with all_2128_0, all_2525_2, zero_zero_int,
% 276.70/46.06 | | zero_zero_int, simplifying with (3715), (3778) gives:
% 276.70/46.06 | | (3820) all_2525_2 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | GROUND_INST: instantiating (287) with all_2363_1, all_2669_2, zero_zero_int,
% 276.70/46.06 | | zero_zero_int, simplifying with (3750), (3783) gives:
% 276.70/46.06 | | (3821) all_2669_2 = all_2363_1
% 276.70/46.06 | |
% 276.70/46.06 | | GROUND_INST: instantiating (287) with all_2148_0, all_2669_2, zero_zero_int,
% 276.70/46.06 | | zero_zero_int, simplifying with (3717), (3783) gives:
% 276.70/46.06 | | (3822) all_2669_2 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | GROUND_INST: instantiating (287) with all_2413_0, all_2671_2, zero_zero_int,
% 276.70/46.06 | | zero_zero_int, simplifying with (3768), (3782) gives:
% 276.70/46.06 | | (3823) all_2671_2 = all_2413_0
% 276.70/46.06 | |
% 276.70/46.06 | | GROUND_INST: instantiating (287) with all_2331_0, all_2671_2, zero_zero_int,
% 276.70/46.06 | | zero_zero_int, simplifying with (3736), (3782) gives:
% 276.70/46.06 | | (3824) all_2671_2 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3823), (3824) imply:
% 276.70/46.06 | | (3825) all_2413_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3825) implies:
% 276.70/46.06 | | (3826) all_2413_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3821), (3822) imply:
% 276.70/46.06 | | (3827) all_2363_1 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3827) implies:
% 276.70/46.06 | | (3828) all_2363_1 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3819), (3820) imply:
% 276.70/46.06 | | (3829) all_2475_1 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3829) implies:
% 276.70/46.06 | | (3830) all_2475_1 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3818), (3830) imply:
% 276.70/46.06 | | (3831) all_2393_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3831) implies:
% 276.70/46.06 | | (3832) all_2393_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3816), (3817) imply:
% 276.70/46.06 | | (3833) all_2435_0 = all_2333_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3833) implies:
% 276.70/46.06 | | (3834) all_2435_0 = all_2333_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3812), (3813) imply:
% 276.70/46.06 | | (3835) all_2341_1 = all_2207_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3812), (3815) imply:
% 276.70/46.06 | | (3836) all_2341_1 = all_2191_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3812), (3814) imply:
% 276.70/46.06 | | (3837) all_2341_1 = all_2201_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3810), (3834) imply:
% 276.70/46.06 | | (3838) all_2339_1 = all_2333_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3838) implies:
% 276.70/46.06 | | (3839) all_2339_1 = all_2333_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3811), (3834) imply:
% 276.70/46.06 | | (3840) all_2333_0 = all_2207_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3809), (3834) imply:
% 276.70/46.06 | | (3841) all_2393_0 = all_2333_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3841) implies:
% 276.70/46.06 | | (3842) all_2393_0 = all_2333_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3808), (3826) imply:
% 276.70/46.06 | | (3843) all_2411_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3843) implies:
% 276.70/46.06 | | (3844) all_2411_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3807), (3844) imply:
% 276.70/46.06 | | (3845) all_2409_1 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3845) implies:
% 276.70/46.06 | | (3846) all_2409_1 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3806), (3846) imply:
% 276.70/46.06 | | (3847) all_2339_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3847) implies:
% 276.70/46.06 | | (3848) all_2339_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3804), (3805) imply:
% 276.70/46.06 | | (3849) all_2401_0 = all_2355_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3849) implies:
% 276.70/46.06 | | (3850) all_2401_0 = all_2355_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3800), (3850) imply:
% 276.70/46.06 | | (3851) all_2389_1 = all_2355_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3851) implies:
% 276.70/46.06 | | (3852) all_2389_1 = all_2355_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3801), (3850) imply:
% 276.70/46.06 | | (3853) all_2363_1 = all_2355_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3853) implies:
% 276.70/46.06 | | (3854) all_2363_1 = all_2355_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3802), (3850) imply:
% 276.70/46.06 | | (3855) all_2355_0 = all_2327_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3803), (3850) imply:
% 276.70/46.06 | | (3856) all_2355_0 = all_2283_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3798), (3799) imply:
% 276.70/46.06 | | (3857) all_2327_0 = all_2281_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3857) implies:
% 276.70/46.06 | | (3858) all_2327_0 = all_2281_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3832), (3842) imply:
% 276.70/46.06 | | (3859) all_2333_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3859) implies:
% 276.70/46.06 | | (3860) all_2333_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3797), (3852) imply:
% 276.70/46.06 | | (3861) all_2355_0 = all_2345_1
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3861) implies:
% 276.70/46.06 | | (3862) all_2355_0 = all_2345_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3795), (3796) imply:
% 276.70/46.06 | | (3863) all_2363_1 = all_2331_1
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3863) implies:
% 276.70/46.06 | | (3864) all_2363_1 = all_2331_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3854), (3864) imply:
% 276.70/46.06 | | (3865) all_2355_0 = all_2331_1
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3865) implies:
% 276.70/46.06 | | (3866) all_2355_0 = all_2331_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3828), (3864) imply:
% 276.70/46.06 | | (3867) all_2331_1 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3856), (3862) imply:
% 276.70/46.06 | | (3868) all_2345_1 = all_2283_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3855), (3862) imply:
% 276.70/46.06 | | (3869) all_2345_1 = all_2327_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3862), (3866) imply:
% 276.70/46.06 | | (3870) all_2345_1 = all_2331_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3868), (3870) imply:
% 276.70/46.06 | | (3871) all_2331_1 = all_2283_1
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3871) implies:
% 276.70/46.06 | | (3872) all_2331_1 = all_2283_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3868), (3869) imply:
% 276.70/46.06 | | (3873) all_2327_0 = all_2283_1
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3873) implies:
% 276.70/46.06 | | (3874) all_2327_0 = all_2283_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3836), (3837) imply:
% 276.70/46.06 | | (3875) all_2201_0 = all_2191_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3835), (3837) imply:
% 276.70/46.06 | | (3876) all_2207_1 = all_2201_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3876) implies:
% 276.70/46.06 | | (3877) all_2207_1 = all_2201_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3794), (3848) imply:
% 276.70/46.06 | | (3878) all_2339_1 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3878) implies:
% 276.70/46.06 | | (3879) all_2339_1 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3839), (3879) imply:
% 276.70/46.06 | | (3880) all_2333_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3880) implies:
% 276.70/46.06 | | (3881) all_2333_0 = all_2331_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3840), (3881) imply:
% 276.70/46.06 | | (3882) all_2331_0 = all_2207_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3860), (3881) imply:
% 276.70/46.06 | | (3883) all_2331_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3882), (3883) imply:
% 276.70/46.06 | | (3884) all_2207_1 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3884) implies:
% 276.70/46.06 | | (3885) all_2207_1 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3867), (3872) imply:
% 276.70/46.06 | | (3886) all_2283_1 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3886) implies:
% 276.70/46.06 | | (3887) all_2283_1 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3858), (3874) imply:
% 276.70/46.06 | | (3888) all_2283_1 = all_2281_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3888) implies:
% 276.70/46.06 | | (3889) all_2283_1 = all_2281_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3793), (3858) imply:
% 276.70/46.06 | | (3890) all_2281_0 = all_2197_1
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3887), (3889) imply:
% 276.70/46.06 | | (3891) all_2281_0 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3891) implies:
% 276.70/46.06 | | (3892) all_2281_0 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3890), (3892) imply:
% 276.70/46.06 | | (3893) all_2197_1 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3893) implies:
% 276.70/46.06 | | (3894) all_2197_1 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3877), (3885) imply:
% 276.70/46.06 | | (3895) all_2201_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3895) implies:
% 276.70/46.06 | | (3896) all_2201_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3875), (3896) imply:
% 276.70/46.06 | | (3897) all_2191_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3897) implies:
% 276.70/46.06 | | (3898) all_2191_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3792), (3894) imply:
% 276.70/46.06 | | (3899) all_2152_0 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3899) implies:
% 276.70/46.06 | | (3900) all_2152_0 = all_2148_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3791), (3898) imply:
% 276.70/46.06 | | (3901) all_2152_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | SIMP: (3901) implies:
% 276.70/46.06 | | (3902) all_2152_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3900), (3902) imply:
% 276.70/46.06 | | (3903) all_2148_0 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | COMBINE_EQS: (3867), (3903) imply:
% 276.70/46.06 | | (3904) all_2331_1 = all_2128_0
% 276.70/46.06 | |
% 276.70/46.06 | | REDUCE: (3735), (3883), (3904) imply:
% 276.70/46.06 | | (3905) $false
% 276.70/46.06 | |
% 276.70/46.06 | | CLOSE: (3905) is inconsistent.
% 276.70/46.06 | |
% 276.70/46.07 | End of split
% 276.70/46.07 |
% 276.70/46.07 End of proof
% 276.70/46.07 % SZS output end Proof for theBenchmark
% 276.70/46.07
% 276.70/46.07 45568ms
%------------------------------------------------------------------------------