TSTP Solution File: PUZ018_1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n009.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 13:22:47 EDT 2023

% Result   : Theorem 8.50s 1.81s
% Output   : Proof 16.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 21:52:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.60/0.60  ________       _____
% 0.60/0.60  ___  __ \_________(_)________________________________
% 0.60/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.60/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.60/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.60/0.60  
% 0.60/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.60/0.60  (2023-06-19)
% 0.60/0.60  
% 0.60/0.60  (c) Philipp Rümmer, 2009-2023
% 0.60/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.60/0.60                Amanda Stjerna.
% 0.60/0.60  Free software under BSD-3-Clause.
% 0.60/0.60  
% 0.60/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.60/0.60  
% 0.60/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.64/0.62  Running up to 7 provers in parallel.
% 0.64/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.64/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.64/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.64/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.64/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.64/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.64/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.74/1.06  Prover 1: Preprocessing ...
% 2.74/1.06  Prover 4: Preprocessing ...
% 3.22/1.10  Prover 3: Preprocessing ...
% 3.22/1.10  Prover 6: Preprocessing ...
% 3.22/1.10  Prover 5: Preprocessing ...
% 3.22/1.10  Prover 0: Preprocessing ...
% 3.22/1.10  Prover 2: Preprocessing ...
% 4.27/1.28  Prover 2: Proving ...
% 4.27/1.28  Prover 5: Proving ...
% 4.88/1.34  Prover 6: Constructing countermodel ...
% 4.88/1.35  Prover 3: Constructing countermodel ...
% 5.36/1.46  Prover 1: Constructing countermodel ...
% 6.14/1.52  Prover 4: Constructing countermodel ...
% 6.52/1.54  Prover 0: Proving ...
% 8.50/1.81  Prover 3: proved (1184ms)
% 8.50/1.81  
% 8.50/1.81  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.50/1.81  
% 8.50/1.81  Prover 0: stopped
% 8.50/1.81  Prover 6: stopped
% 8.50/1.81  Prover 2: stopped
% 8.73/1.82  Prover 5: stopped
% 8.73/1.83  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.73/1.83  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.73/1.83  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.73/1.83  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.73/1.83  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.73/1.87  Prover 8: Preprocessing ...
% 8.73/1.87  Prover 7: Preprocessing ...
% 8.73/1.89  Prover 13: Preprocessing ...
% 8.73/1.89  Prover 11: Preprocessing ...
% 9.33/1.91  Prover 7: Warning: ignoring some quantifiers
% 9.33/1.91  Prover 7: Constructing countermodel ...
% 9.33/1.92  Prover 10: Preprocessing ...
% 9.33/1.92  Prover 13: Warning: ignoring some quantifiers
% 9.33/1.92  Prover 13: Constructing countermodel ...
% 9.33/1.95  Prover 8: Warning: ignoring some quantifiers
% 9.33/1.95  Prover 10: Warning: ignoring some quantifiers
% 9.33/1.95  Prover 10: Constructing countermodel ...
% 9.33/1.96  Prover 8: Constructing countermodel ...
% 9.92/1.99  Prover 13: gave up
% 9.92/2.00  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 9.92/2.04  Prover 16: Preprocessing ...
% 9.92/2.05  Prover 10: gave up
% 9.92/2.06  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 9.92/2.06  Prover 11: Constructing countermodel ...
% 9.92/2.07  Prover 7: gave up
% 10.61/2.08  Prover 19: Preprocessing ...
% 10.61/2.09  Prover 16: Warning: ignoring some quantifiers
% 10.61/2.09  Prover 16: Constructing countermodel ...
% 11.00/2.15  Prover 19: Warning: ignoring some quantifiers
% 11.00/2.15  Prover 19: Constructing countermodel ...
% 11.00/2.16  Prover 16: gave up
% 14.56/2.64  Prover 1: Found proof (size 520)
% 14.56/2.64  Prover 1: proved (2022ms)
% 14.56/2.65  Prover 19: stopped
% 14.56/2.65  Prover 8: stopped
% 14.56/2.65  Prover 11: stopped
% 14.56/2.65  Prover 4: stopped
% 14.56/2.65  
% 14.56/2.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.56/2.65  
% 15.23/2.70  % SZS output start Proof for theBenchmark
% 15.30/2.71  Assumptions after simplification:
% 15.30/2.71  ---------------------------------
% 15.30/2.71  
% 15.30/2.71    (a_not_b)
% 15.35/2.73    person(b) & person(a) &  ? [v0: int] : ( ~ (v0 = 0) & same_person(a, b) = v0)
% 15.35/2.73  
% 15.35/2.73    (a_not_c)
% 15.35/2.73    person(c) & person(a) &  ? [v0: int] : ( ~ (v0 = 0) & same_person(a, c) = v0)
% 15.35/2.73  
% 15.35/2.73    (a_off_sunday)
% 15.35/2.74    person(a) & day(sunday) &  ? [v0: int] : ( ~ (v0 = 0) & on(a, sunday) = v0)
% 15.35/2.74  
% 15.35/2.74    (a_off_thursday)
% 15.35/2.74    person(a) & day(thursday) &  ? [v0: int] : ( ~ (v0 = 0) & on(a, thursday) =
% 15.35/2.74      v0)
% 15.35/2.74  
% 15.35/2.74    (a_off_tuesday)
% 15.35/2.74    person(a) & day(tuesday) &  ? [v0: int] : ( ~ (v0 = 0) & on(a, tuesday) = v0)
% 15.35/2.74  
% 15.35/2.74    (all_on_a_on)
% 15.35/2.74    person(a) &  ! [v0: day] :  ! [v1: int] : (v1 = 0 |  ~ (on(a, v0) = v1) |  ~
% 15.35/2.74      day(v0) |  ? [v2: int] : ( ~ (v2 = 0) & all_on(v0) = v2))
% 15.35/2.74  
% 15.35/2.74    (all_on_b_on)
% 15.35/2.74    person(b) &  ! [v0: day] :  ! [v1: int] : (v1 = 0 |  ~ (on(b, v0) = v1) |  ~
% 15.35/2.74      day(v0) |  ? [v2: int] : ( ~ (v2 = 0) & all_on(v0) = v2))
% 15.35/2.74  
% 15.35/2.74    (all_on_c_on)
% 15.35/2.74    person(c) &  ! [v0: day] :  ! [v1: int] : (v1 = 0 |  ~ (on(c, v0) = v1) |  ~
% 15.35/2.74      day(v0) |  ? [v2: int] : ( ~ (v2 = 0) & all_on(v0) = v2))
% 15.35/2.74  
% 15.35/2.74    (all_on_one_day)
% 15.35/2.74    day(saturday) & day(sunday) & day(friday) & day(thursday) & day(wednesday) &
% 15.35/2.74    day(tuesday) & day(monday) &  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 15.35/2.74    [v3: any] :  ? [v4: any] :  ? [v5: any] :  ? [v6: any] : (all_on(saturday) =
% 15.35/2.74      v6 & all_on(sunday) = v0 & all_on(friday) = v5 & all_on(thursday) = v4 &
% 15.35/2.74      all_on(wednesday) = v3 & all_on(tuesday) = v2 & all_on(monday) = v1 & (v6 =
% 15.35/2.74        0 | v5 = 0 | v4 = 0 | v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.74  
% 15.35/2.74    (b_not_c)
% 15.35/2.75    person(c) & person(b) &  ? [v0: int] : ( ~ (v0 = 0) & same_person(b, c) = v0)
% 15.35/2.75  
% 15.35/2.75    (b_off_saturday)
% 15.35/2.75    person(b) & day(saturday) &  ? [v0: int] : ( ~ (v0 = 0) & on(b, saturday) =
% 15.35/2.75      v0)
% 15.35/2.75  
% 15.35/2.75    (b_off_thursday)
% 15.35/2.75    person(b) & day(thursday) &  ? [v0: int] : ( ~ (v0 = 0) & on(b, thursday) =
% 15.35/2.75      v0)
% 15.35/2.75  
% 15.35/2.75    (c_off_sunday)
% 15.35/2.75    person(c) & day(sunday) &  ? [v0: int] : ( ~ (v0 = 0) & on(c, sunday) = v0)
% 15.35/2.75  
% 15.35/2.75    (friday_follows_thursday)
% 15.35/2.75    consecutive(thursday, friday) = 0 & day(friday) & day(thursday)
% 15.35/2.75  
% 15.35/2.75    (monday_follows_sunday)
% 15.35/2.75    consecutive(sunday, monday) = 0 & day(sunday) & day(monday)
% 15.35/2.75  
% 15.35/2.75    (no_two_off_twice_together)
% 15.35/2.75     ! [v0: person] :  ! [v1: day] :  ! [v2: day] :  ! [v3: person] :  ! [v4: int]
% 15.35/2.75    :  ! [v5: int] :  ! [v6: int] : (v6 = 0 | v5 = 0 | v4 = 0 |  ~
% 15.35/2.75      (same_person(v0, v3) = v6) |  ~ (on(v0, v2) = v5) |  ~ (on(v0, v1) = v4) | 
% 15.35/2.75      ~ person(v3) |  ~ person(v0) |  ~ day(v2) |  ~ day(v1) |  ? [v7: any] :  ?
% 15.35/2.75      [v8: any] :  ? [v9: any] : (same_day(v1, v2) = v9 & on(v3, v2) = v8 & on(v3,
% 15.35/2.75          v1) = v7 & (v9 = 0 | v8 = 0 | v7 = 0)))
% 15.35/2.75  
% 15.35/2.75    (not_on_for_3_days)
% 15.35/2.75     ! [v0: day] :  ! [v1: day] :  ! [v2: day] :  ! [v3: day] :  ! [v4: person] :
% 15.35/2.75    ( ~ (consecutive(v2, v3) = 0) |  ~ (consecutive(v0, v1) = 0) |  ~ (on(v4, v0)
% 15.35/2.75        = 0) |  ~ person(v4) |  ~ day(v3) |  ~ day(v2) |  ~ day(v1) |  ~ day(v0) |
% 15.35/2.75       ? [v5: any] :  ? [v6: any] :  ? [v7: any] : (consecutive(v1, v2) = v5 &
% 15.35/2.75        on(v4, v2) = v7 & on(v4, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 =
% 15.35/2.75            0))))
% 15.35/2.75  
% 15.35/2.75    (prove_all_on_friday)
% 15.35/2.75    day(friday) &  ? [v0: int] : ( ~ (v0 = 0) & all_on(friday) = v0)
% 15.35/2.75  
% 15.35/2.75    (staurday_follows_friday)
% 15.35/2.75    consecutive(friday, saturday) = 0 & day(saturday) & day(friday)
% 15.35/2.75  
% 15.35/2.75    (sunday_follows_saturday)
% 15.35/2.75    consecutive(saturday, sunday) = 0 & day(saturday) & day(sunday)
% 15.35/2.75  
% 15.35/2.75    (sunday_not_thursday)
% 15.35/2.75    day(sunday) & day(thursday) &  ? [v0: int] : ( ~ (v0 = 0) & same_day(sunday,
% 15.35/2.75        thursday) = v0)
% 15.35/2.75  
% 15.35/2.75    (sunday_not_tuesday)
% 15.35/2.75    day(sunday) & day(tuesday) &  ? [v0: int] : ( ~ (v0 = 0) & same_day(sunday,
% 15.35/2.75        tuesday) = v0)
% 15.35/2.75  
% 15.35/2.75    (thursday_follows_wednesday)
% 15.35/2.76    consecutive(wednesday, thursday) = 0 & day(thursday) & day(wednesday)
% 15.35/2.76  
% 15.35/2.76    (tuesday_follows_monday)
% 15.35/2.76    consecutive(monday, tuesday) = 0 & day(tuesday) & day(monday)
% 15.35/2.76  
% 15.35/2.76    (tuesday_not_thursday)
% 15.35/2.76    day(thursday) & day(tuesday) &  ? [v0: int] : ( ~ (v0 = 0) & same_day(tuesday,
% 15.35/2.76        thursday) = v0)
% 15.35/2.76  
% 15.35/2.76    (wednesday_follows_tuesday)
% 15.35/2.76    consecutive(tuesday, wednesday) = 0 & day(wednesday) & day(tuesday)
% 15.35/2.76  
% 15.35/2.76    (function-axioms)
% 15.35/2.76     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: person] :  !
% 15.35/2.76    [v3: person] : (v1 = v0 |  ~ (same_person(v3, v2) = v1) |  ~ (same_person(v3,
% 15.35/2.76          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 15.35/2.76    ! [v2: day] :  ! [v3: day] : (v1 = v0 |  ~ (consecutive(v3, v2) = v1) |  ~
% 15.35/2.76      (consecutive(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 15.35/2.76      MultipleValueBool] :  ! [v2: day] :  ! [v3: day] : (v1 = v0 |  ~
% 15.35/2.76      (same_day(v3, v2) = v1) |  ~ (same_day(v3, v2) = v0)) &  ! [v0:
% 15.35/2.76      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: day] :  ! [v3:
% 15.35/2.76      person] : (v1 = v0 |  ~ (on(v3, v2) = v1) |  ~ (on(v3, v2) = v0)) &  ! [v0:
% 15.35/2.76      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: day] : (v1 = v0 | 
% 15.35/2.76      ~ (all_on(v2) = v1) |  ~ (all_on(v2) = v0))
% 15.35/2.76  
% 15.35/2.76  Further assumptions not needed in the proof:
% 15.35/2.76  --------------------------------------------
% 15.35/2.76  all_on, all_on_well_defined, friday_not_saturday, monday_not_friday,
% 15.35/2.76  monday_not_saturday, monday_not_thursday, monday_not_tuesday,
% 15.35/2.76  monday_not_wednesday, reflexivity_for_same_day, reflexivity_for_same_person,
% 15.35/2.76  sunday_not_friday, sunday_not_monday, sunday_not_saturday, sunday_not_wednesday,
% 15.35/2.76  thursday_not_friday, thursday_not_saturday, tuesday_not_friday,
% 15.35/2.76  tuesday_not_saturday, tuesday_not_wednesday, wednesday_not_friday,
% 15.35/2.76  wednesday_not_saturday, wednesday_not_thursday
% 15.35/2.76  
% 15.35/2.76  Those formulas are unsatisfiable:
% 15.35/2.76  ---------------------------------
% 15.35/2.76  
% 15.35/2.76  Begin of proof
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (all_on_a_on) implies:
% 15.35/2.76  |   (1)   ! [v0: day] :  ! [v1: int] : (v1 = 0 |  ~ (on(a, v0) = v1) |  ~
% 15.35/2.76  |          day(v0) |  ? [v2: int] : ( ~ (v2 = 0) & all_on(v0) = v2))
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (all_on_b_on) implies:
% 15.35/2.76  |   (2)   ! [v0: day] :  ! [v1: int] : (v1 = 0 |  ~ (on(b, v0) = v1) |  ~
% 15.35/2.76  |          day(v0) |  ? [v2: int] : ( ~ (v2 = 0) & all_on(v0) = v2))
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (all_on_c_on) implies:
% 15.35/2.76  |   (3)   ! [v0: day] :  ! [v1: int] : (v1 = 0 |  ~ (on(c, v0) = v1) |  ~
% 15.35/2.76  |          day(v0) |  ? [v2: int] : ( ~ (v2 = 0) & all_on(v0) = v2))
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (monday_follows_sunday) implies:
% 15.35/2.76  |   (4)  consecutive(sunday, monday) = 0
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (tuesday_follows_monday) implies:
% 15.35/2.76  |   (5)  consecutive(monday, tuesday) = 0
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (wednesday_follows_tuesday) implies:
% 15.35/2.76  |   (6)  consecutive(tuesday, wednesday) = 0
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (thursday_follows_wednesday) implies:
% 15.35/2.76  |   (7)  consecutive(wednesday, thursday) = 0
% 15.35/2.76  | 
% 15.35/2.76  | ALPHA: (friday_follows_thursday) implies:
% 15.35/2.77  |   (8)  consecutive(thursday, friday) = 0
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (staurday_follows_friday) implies:
% 15.35/2.77  |   (9)  consecutive(friday, saturday) = 0
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (sunday_follows_saturday) implies:
% 15.35/2.77  |   (10)  consecutive(saturday, sunday) = 0
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (a_not_b) implies:
% 15.35/2.77  |   (11)   ? [v0: int] : ( ~ (v0 = 0) & same_person(a, b) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (a_not_c) implies:
% 15.35/2.77  |   (12)   ? [v0: int] : ( ~ (v0 = 0) & same_person(a, c) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (b_not_c) implies:
% 15.35/2.77  |   (13)   ? [v0: int] : ( ~ (v0 = 0) & same_person(b, c) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (sunday_not_tuesday) implies:
% 15.35/2.77  |   (14)   ? [v0: int] : ( ~ (v0 = 0) & same_day(sunday, tuesday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (sunday_not_thursday) implies:
% 15.35/2.77  |   (15)   ? [v0: int] : ( ~ (v0 = 0) & same_day(sunday, thursday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (tuesday_not_thursday) implies:
% 15.35/2.77  |   (16)   ? [v0: int] : ( ~ (v0 = 0) & same_day(tuesday, thursday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (all_on_one_day) implies:
% 15.35/2.77  |   (17)  day(monday)
% 15.35/2.77  |   (18)  day(wednesday)
% 15.35/2.77  |   (19)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :  ? [v4:
% 15.35/2.77  |           any] :  ? [v5: any] :  ? [v6: any] : (all_on(saturday) = v6 &
% 15.35/2.77  |           all_on(sunday) = v0 & all_on(friday) = v5 & all_on(thursday) = v4 &
% 15.35/2.77  |           all_on(wednesday) = v3 & all_on(tuesday) = v2 & all_on(monday) = v1
% 15.35/2.77  |           & (v6 = 0 | v5 = 0 | v4 = 0 | v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (a_off_sunday) implies:
% 15.35/2.77  |   (20)   ? [v0: int] : ( ~ (v0 = 0) & on(a, sunday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (a_off_tuesday) implies:
% 15.35/2.77  |   (21)  day(tuesday)
% 15.35/2.77  |   (22)   ? [v0: int] : ( ~ (v0 = 0) & on(a, tuesday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (a_off_thursday) implies:
% 15.35/2.77  |   (23)  person(a)
% 15.35/2.77  |   (24)   ? [v0: int] : ( ~ (v0 = 0) & on(a, thursday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (b_off_thursday) implies:
% 15.35/2.77  |   (25)  day(thursday)
% 15.35/2.77  |   (26)   ? [v0: int] : ( ~ (v0 = 0) & on(b, thursday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (b_off_saturday) implies:
% 15.35/2.77  |   (27)  day(saturday)
% 15.35/2.77  |   (28)  person(b)
% 15.35/2.77  |   (29)   ? [v0: int] : ( ~ (v0 = 0) & on(b, saturday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (c_off_sunday) implies:
% 15.35/2.77  |   (30)  day(sunday)
% 15.35/2.77  |   (31)  person(c)
% 15.35/2.77  |   (32)   ? [v0: int] : ( ~ (v0 = 0) & on(c, sunday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (prove_all_on_friday) implies:
% 15.35/2.77  |   (33)  day(friday)
% 15.35/2.77  |   (34)   ? [v0: int] : ( ~ (v0 = 0) & all_on(friday) = v0)
% 15.35/2.77  | 
% 15.35/2.77  | ALPHA: (function-axioms) implies:
% 15.35/2.78  |   (35)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: day]
% 15.35/2.78  |         : (v1 = v0 |  ~ (all_on(v2) = v1) |  ~ (all_on(v2) = v0))
% 15.35/2.78  |   (36)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: day]
% 15.35/2.78  |         :  ! [v3: person] : (v1 = v0 |  ~ (on(v3, v2) = v1) |  ~ (on(v3, v2) =
% 15.35/2.78  |             v0))
% 15.35/2.78  |   (37)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: day]
% 15.35/2.78  |         :  ! [v3: day] : (v1 = v0 |  ~ (same_day(v3, v2) = v1) |  ~
% 15.35/2.78  |           (same_day(v3, v2) = v0))
% 15.35/2.78  |   (38)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: day]
% 15.35/2.78  |         :  ! [v3: day] : (v1 = v0 |  ~ (consecutive(v3, v2) = v1) |  ~
% 15.35/2.78  |           (consecutive(v3, v2) = v0))
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (20) with fresh symbol all_19_0 gives:
% 15.35/2.78  |   (39)   ~ (all_19_0 = 0) & on(a, sunday) = all_19_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (39) implies:
% 15.35/2.78  |   (40)   ~ (all_19_0 = 0)
% 15.35/2.78  |   (41)  on(a, sunday) = all_19_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (22) with fresh symbol all_25_0 gives:
% 15.35/2.78  |   (42)   ~ (all_25_0 = 0) & on(a, tuesday) = all_25_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (42) implies:
% 15.35/2.78  |   (43)   ~ (all_25_0 = 0)
% 15.35/2.78  |   (44)  on(a, tuesday) = all_25_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (32) with fresh symbol all_29_0 gives:
% 15.35/2.78  |   (45)   ~ (all_29_0 = 0) & on(c, sunday) = all_29_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (45) implies:
% 15.35/2.78  |   (46)   ~ (all_29_0 = 0)
% 15.35/2.78  |   (47)  on(c, sunday) = all_29_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (14) with fresh symbol all_33_0 gives:
% 15.35/2.78  |   (48)   ~ (all_33_0 = 0) & same_day(sunday, tuesday) = all_33_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (48) implies:
% 15.35/2.78  |   (49)   ~ (all_33_0 = 0)
% 15.35/2.78  |   (50)  same_day(sunday, tuesday) = all_33_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (26) with fresh symbol all_41_0 gives:
% 15.35/2.78  |   (51)   ~ (all_41_0 = 0) & on(b, thursday) = all_41_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (51) implies:
% 15.35/2.78  |   (52)   ~ (all_41_0 = 0)
% 15.35/2.78  |   (53)  on(b, thursday) = all_41_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (15) with fresh symbol all_49_0 gives:
% 15.35/2.78  |   (54)   ~ (all_49_0 = 0) & same_day(sunday, thursday) = all_49_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (54) implies:
% 15.35/2.78  |   (55)   ~ (all_49_0 = 0)
% 15.35/2.78  |   (56)  same_day(sunday, thursday) = all_49_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (12) with fresh symbol all_59_0 gives:
% 15.35/2.78  |   (57)   ~ (all_59_0 = 0) & same_person(a, c) = all_59_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (57) implies:
% 15.35/2.78  |   (58)   ~ (all_59_0 = 0)
% 15.35/2.78  |   (59)  same_person(a, c) = all_59_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (13) with fresh symbol all_61_0 gives:
% 15.35/2.78  |   (60)   ~ (all_61_0 = 0) & same_person(b, c) = all_61_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (60) implies:
% 15.35/2.78  |   (61)   ~ (all_61_0 = 0)
% 15.35/2.78  |   (62)  same_person(b, c) = all_61_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (24) with fresh symbol all_63_0 gives:
% 15.35/2.78  |   (63)   ~ (all_63_0 = 0) & on(a, thursday) = all_63_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (63) implies:
% 15.35/2.78  |   (64)   ~ (all_63_0 = 0)
% 15.35/2.78  |   (65)  on(a, thursday) = all_63_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (29) with fresh symbol all_65_0 gives:
% 15.35/2.78  |   (66)   ~ (all_65_0 = 0) & on(b, saturday) = all_65_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (66) implies:
% 15.35/2.78  |   (67)   ~ (all_65_0 = 0)
% 15.35/2.78  |   (68)  on(b, saturday) = all_65_0
% 15.35/2.78  | 
% 15.35/2.78  | DELTA: instantiating (11) with fresh symbol all_67_0 gives:
% 15.35/2.78  |   (69)   ~ (all_67_0 = 0) & same_person(a, b) = all_67_0
% 15.35/2.78  | 
% 15.35/2.78  | ALPHA: (69) implies:
% 15.35/2.79  |   (70)   ~ (all_67_0 = 0)
% 15.35/2.79  |   (71)  same_person(a, b) = all_67_0
% 15.35/2.79  | 
% 15.35/2.79  | DELTA: instantiating (16) with fresh symbol all_73_0 gives:
% 15.35/2.79  |   (72)   ~ (all_73_0 = 0) & same_day(tuesday, thursday) = all_73_0
% 15.35/2.79  | 
% 15.35/2.79  | ALPHA: (72) implies:
% 15.35/2.79  |   (73)   ~ (all_73_0 = 0)
% 15.35/2.79  |   (74)  same_day(tuesday, thursday) = all_73_0
% 15.35/2.79  | 
% 15.35/2.79  | DELTA: instantiating (34) with fresh symbol all_75_0 gives:
% 15.35/2.79  |   (75)   ~ (all_75_0 = 0) & all_on(friday) = all_75_0
% 15.35/2.79  | 
% 15.35/2.79  | ALPHA: (75) implies:
% 15.35/2.79  |   (76)   ~ (all_75_0 = 0)
% 15.35/2.79  |   (77)  all_on(friday) = all_75_0
% 15.35/2.79  | 
% 15.35/2.79  | DELTA: instantiating (19) with fresh symbols all_79_0, all_79_1, all_79_2,
% 15.35/2.79  |        all_79_3, all_79_4, all_79_5, all_79_6 gives:
% 15.35/2.79  |   (78)  all_on(saturday) = all_79_0 & all_on(sunday) = all_79_6 &
% 15.35/2.79  |         all_on(friday) = all_79_1 & all_on(thursday) = all_79_2 &
% 15.35/2.79  |         all_on(wednesday) = all_79_3 & all_on(tuesday) = all_79_4 &
% 15.35/2.79  |         all_on(monday) = all_79_5 & (all_79_0 = 0 | all_79_1 = 0 | all_79_2 =
% 15.35/2.79  |           0 | all_79_3 = 0 | all_79_4 = 0 | all_79_5 = 0 | all_79_6 = 0)
% 15.35/2.79  | 
% 15.35/2.79  | ALPHA: (78) implies:
% 15.35/2.79  |   (79)  all_on(monday) = all_79_5
% 15.35/2.79  |   (80)  all_on(tuesday) = all_79_4
% 15.35/2.79  |   (81)  all_on(wednesday) = all_79_3
% 15.35/2.79  |   (82)  all_on(thursday) = all_79_2
% 15.35/2.79  |   (83)  all_on(friday) = all_79_1
% 15.35/2.79  |   (84)  all_on(sunday) = all_79_6
% 15.35/2.79  |   (85)  all_on(saturday) = all_79_0
% 15.35/2.79  |   (86)  all_79_0 = 0 | all_79_1 = 0 | all_79_2 = 0 | all_79_3 = 0 | all_79_4 =
% 15.35/2.79  |         0 | all_79_5 = 0 | all_79_6 = 0
% 15.35/2.79  | 
% 15.35/2.79  | GROUND_INST: instantiating (35) with all_75_0, all_79_1, friday, simplifying
% 15.35/2.79  |              with (77), (83) gives:
% 15.35/2.79  |   (87)  all_79_1 = all_75_0
% 15.35/2.79  | 
% 15.35/2.79  | GROUND_INST: instantiating (1) with tuesday, all_25_0, simplifying with (21),
% 15.35/2.79  |              (44) gives:
% 15.35/2.79  |   (88)  all_25_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) & all_on(tuesday) = v0)
% 15.35/2.79  | 
% 15.35/2.79  | GROUND_INST: instantiating (1) with thursday, all_63_0, simplifying with (25),
% 15.35/2.79  |              (65) gives:
% 15.35/2.79  |   (89)  all_63_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) & all_on(thursday) = v0)
% 15.35/2.79  | 
% 15.35/2.79  | GROUND_INST: instantiating (2) with saturday, all_65_0, simplifying with (27),
% 15.35/2.79  |              (68) gives:
% 15.35/2.79  |   (90)  all_65_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) & all_on(saturday) = v0)
% 15.35/2.79  | 
% 15.35/2.79  | GROUND_INST: instantiating (3) with sunday, all_29_0, simplifying with (30),
% 15.35/2.79  |              (47) gives:
% 15.35/2.79  |   (91)  all_29_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) & all_on(sunday) = v0)
% 15.35/2.79  | 
% 15.35/2.79  | GROUND_INST: instantiating (no_two_off_twice_together) with a, thursday,
% 15.35/2.79  |              sunday, b, all_63_0, all_19_0, all_67_0, simplifying with (23),
% 15.35/2.79  |              (25), (28), (30), (41), (65), (71) gives:
% 15.35/2.80  |   (92)  all_67_0 = 0 | all_63_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.35/2.80  |           any] :  ? [v2: any] : (same_day(thursday, sunday) = v2 & on(b,
% 15.35/2.80  |             sunday) = v1 & on(b, thursday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.80  | 
% 15.35/2.80  | GROUND_INST: instantiating (no_two_off_twice_together) with a, tuesday,
% 15.35/2.80  |              sunday, b, all_25_0, all_19_0, all_67_0, simplifying with (21),
% 15.35/2.80  |              (23), (28), (30), (41), (44), (71) gives:
% 15.35/2.80  |   (93)  all_67_0 = 0 | all_25_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.35/2.80  |           any] :  ? [v2: any] : (same_day(tuesday, sunday) = v2 & on(b,
% 15.35/2.80  |             sunday) = v1 & on(b, tuesday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.80  | 
% 15.35/2.80  | GROUND_INST: instantiating (no_two_off_twice_together) with a, sunday,
% 15.35/2.80  |              thursday, b, all_19_0, all_63_0, all_67_0, simplifying with (23),
% 15.35/2.80  |              (25), (28), (30), (41), (65), (71) gives:
% 15.35/2.80  |   (94)  all_67_0 = 0 | all_63_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.35/2.80  |           any] :  ? [v2: any] : (same_day(sunday, thursday) = v2 & on(b,
% 15.35/2.80  |             sunday) = v0 & on(b, thursday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.80  | 
% 15.35/2.80  | GROUND_INST: instantiating (no_two_off_twice_together) with a, thursday,
% 15.35/2.80  |              thursday, b, all_63_0, all_63_0, all_67_0, simplifying with (23),
% 15.35/2.80  |              (25), (28), (65), (71) gives:
% 15.35/2.80  |   (95)  all_67_0 = 0 | all_63_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 15.35/2.80  |           any] : (same_day(thursday, thursday) = v2 & on(b, thursday) = v1 &
% 15.35/2.80  |           on(b, thursday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.80  | 
% 15.35/2.80  | GROUND_INST: instantiating (no_two_off_twice_together) with a, tuesday,
% 15.35/2.80  |              thursday, b, all_25_0, all_63_0, all_67_0, simplifying with (21),
% 15.35/2.80  |              (23), (25), (28), (44), (65), (71) gives:
% 15.35/2.80  |   (96)  all_67_0 = 0 | all_63_0 = 0 | all_25_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.35/2.80  |           any] :  ? [v2: any] : (same_day(tuesday, thursday) = v2 & on(b,
% 15.35/2.80  |             thursday) = v1 & on(b, tuesday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.80  | 
% 15.35/2.80  | GROUND_INST: instantiating (no_two_off_twice_together) with a, thursday,
% 15.35/2.80  |              tuesday, b, all_63_0, all_25_0, all_67_0, simplifying with (21),
% 15.35/2.80  |              (23), (25), (28), (44), (65), (71) gives:
% 15.35/2.80  |   (97)  all_67_0 = 0 | all_63_0 = 0 | all_25_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.35/2.80  |           any] :  ? [v2: any] : (same_day(thursday, tuesday) = v2 & on(b,
% 15.35/2.80  |             thursday) = v0 & on(b, tuesday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.80  | 
% 15.35/2.80  | GROUND_INST: instantiating (no_two_off_twice_together) with a, tuesday,
% 15.35/2.80  |              tuesday, b, all_25_0, all_25_0, all_67_0, simplifying with (21),
% 15.35/2.80  |              (23), (28), (44), (71) gives:
% 15.35/2.81  |   (98)  all_67_0 = 0 | all_25_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 15.35/2.81  |           any] : (same_day(tuesday, tuesday) = v2 & on(b, tuesday) = v1 &
% 15.35/2.81  |           on(b, tuesday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.81  | 
% 15.35/2.81  | GROUND_INST: instantiating (no_two_off_twice_together) with a, sunday, sunday,
% 15.35/2.81  |              c, all_19_0, all_19_0, all_59_0, simplifying with (23), (30),
% 15.35/2.81  |              (31), (41), (59) gives:
% 15.35/2.81  |   (99)  all_59_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 15.35/2.81  |           any] : (same_day(sunday, sunday) = v2 & on(c, sunday) = v1 & on(c,
% 15.35/2.81  |             sunday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.81  | 
% 15.35/2.81  | GROUND_INST: instantiating (no_two_off_twice_together) with a, sunday,
% 15.35/2.81  |              thursday, c, all_19_0, all_63_0, all_59_0, simplifying with (23),
% 15.35/2.81  |              (25), (30), (31), (41), (59), (65) gives:
% 15.35/2.81  |   (100)  all_63_0 = 0 | all_59_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.35/2.81  |            any] :  ? [v2: any] : (same_day(sunday, thursday) = v2 & on(c,
% 15.35/2.81  |              sunday) = v0 & on(c, thursday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.35/2.81  | 
% 15.35/2.81  | GROUND_INST: instantiating (no_two_off_twice_together) with a, thursday,
% 15.35/2.81  |              thursday, c, all_63_0, all_63_0, all_59_0, simplifying with (23),
% 15.79/2.81  |              (25), (31), (59), (65) gives:
% 15.79/2.81  |   (101)  all_63_0 = 0 | all_59_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 15.79/2.81  |            any] : (same_day(thursday, thursday) = v2 & on(c, thursday) = v1 &
% 15.79/2.81  |            on(c, thursday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.81  | 
% 15.79/2.81  | GROUND_INST: instantiating (no_two_off_twice_together) with a, sunday,
% 15.79/2.81  |              tuesday, c, all_19_0, all_25_0, all_59_0, simplifying with (21),
% 15.79/2.81  |              (23), (30), (31), (41), (44), (59) gives:
% 15.79/2.81  |   (102)  all_59_0 = 0 | all_25_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.79/2.81  |            any] :  ? [v2: any] : (same_day(sunday, tuesday) = v2 & on(c,
% 15.79/2.81  |              sunday) = v0 & on(c, tuesday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.81  | 
% 15.79/2.81  | GROUND_INST: instantiating (no_two_off_twice_together) with a, tuesday,
% 15.79/2.81  |              tuesday, c, all_25_0, all_25_0, all_59_0, simplifying with (21),
% 15.79/2.81  |              (23), (31), (44), (59) gives:
% 15.79/2.81  |   (103)  all_59_0 = 0 | all_25_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 15.79/2.81  |            any] : (same_day(tuesday, tuesday) = v2 & on(c, tuesday) = v1 &
% 15.79/2.81  |            on(c, tuesday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.81  | 
% 15.79/2.81  | GROUND_INST: instantiating (no_two_off_twice_together) with b, saturday,
% 15.79/2.81  |              thursday, c, all_65_0, all_41_0, all_61_0, simplifying with (25),
% 15.79/2.81  |              (27), (28), (31), (53), (62), (68) gives:
% 15.79/2.81  |   (104)  all_65_0 = 0 | all_61_0 = 0 | all_41_0 = 0 |  ? [v0: any] :  ? [v1:
% 15.79/2.82  |            any] :  ? [v2: any] : (same_day(saturday, thursday) = v2 & on(c,
% 15.79/2.82  |              saturday) = v0 & on(c, thursday) = v1 & (v2 = 0 | v1 = 0 | v0 =
% 15.79/2.82  |              0))
% 15.79/2.82  | 
% 15.79/2.82  | GROUND_INST: instantiating (no_two_off_twice_together) with b, thursday,
% 15.79/2.82  |              thursday, c, all_41_0, all_41_0, all_61_0, simplifying with (25),
% 15.79/2.82  |              (28), (31), (53), (62) gives:
% 15.79/2.82  |   (105)  all_61_0 = 0 | all_41_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 15.79/2.82  |            any] : (same_day(thursday, thursday) = v2 & on(c, thursday) = v1 &
% 15.79/2.82  |            on(c, thursday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.82  | 
% 15.79/2.82  | BETA: splitting (91) gives:
% 15.79/2.82  | 
% 15.79/2.82  | Case 1:
% 15.79/2.82  | | 
% 15.79/2.82  | |   (106)  all_29_0 = 0
% 15.79/2.82  | | 
% 15.79/2.82  | | REDUCE: (46), (106) imply:
% 15.79/2.82  | |   (107)  $false
% 15.79/2.82  | | 
% 15.79/2.82  | | CLOSE: (107) is inconsistent.
% 15.79/2.82  | | 
% 15.79/2.82  | Case 2:
% 15.79/2.82  | | 
% 15.79/2.82  | |   (108)   ? [v0: int] : ( ~ (v0 = 0) & all_on(sunday) = v0)
% 15.79/2.82  | | 
% 15.79/2.82  | | DELTA: instantiating (108) with fresh symbol all_92_0 gives:
% 15.79/2.82  | |   (109)   ~ (all_92_0 = 0) & all_on(sunday) = all_92_0
% 15.79/2.82  | | 
% 15.79/2.82  | | ALPHA: (109) implies:
% 15.79/2.82  | |   (110)   ~ (all_92_0 = 0)
% 15.79/2.82  | |   (111)  all_on(sunday) = all_92_0
% 15.79/2.82  | | 
% 15.79/2.82  | | BETA: splitting (89) gives:
% 15.79/2.82  | | 
% 15.79/2.82  | | Case 1:
% 15.79/2.82  | | | 
% 15.79/2.82  | | |   (112)  all_63_0 = 0
% 15.79/2.82  | | | 
% 15.79/2.82  | | | REDUCE: (64), (112) imply:
% 15.79/2.82  | | |   (113)  $false
% 15.79/2.82  | | | 
% 15.79/2.82  | | | CLOSE: (113) is inconsistent.
% 15.79/2.82  | | | 
% 15.79/2.82  | | Case 2:
% 15.79/2.82  | | | 
% 15.79/2.82  | | |   (114)   ? [v0: int] : ( ~ (v0 = 0) & all_on(thursday) = v0)
% 15.79/2.82  | | | 
% 15.79/2.82  | | | DELTA: instantiating (114) with fresh symbol all_98_0 gives:
% 15.79/2.82  | | |   (115)   ~ (all_98_0 = 0) & all_on(thursday) = all_98_0
% 15.79/2.82  | | | 
% 15.79/2.82  | | | ALPHA: (115) implies:
% 15.79/2.82  | | |   (116)   ~ (all_98_0 = 0)
% 15.79/2.82  | | |   (117)  all_on(thursday) = all_98_0
% 15.79/2.82  | | | 
% 15.79/2.82  | | | BETA: splitting (88) gives:
% 15.79/2.82  | | | 
% 15.79/2.82  | | | Case 1:
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | |   (118)  all_25_0 = 0
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | | REDUCE: (43), (118) imply:
% 15.79/2.82  | | | |   (119)  $false
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | | CLOSE: (119) is inconsistent.
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | Case 2:
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | |   (120)   ? [v0: int] : ( ~ (v0 = 0) & all_on(tuesday) = v0)
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | | DELTA: instantiating (120) with fresh symbol all_104_0 gives:
% 15.79/2.82  | | | |   (121)   ~ (all_104_0 = 0) & all_on(tuesday) = all_104_0
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | | ALPHA: (121) implies:
% 15.79/2.82  | | | |   (122)   ~ (all_104_0 = 0)
% 15.79/2.82  | | | |   (123)  all_on(tuesday) = all_104_0
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | | BETA: splitting (99) gives:
% 15.79/2.82  | | | | 
% 15.79/2.82  | | | | Case 1:
% 15.79/2.82  | | | | | 
% 15.79/2.82  | | | | |   (124)  all_59_0 = 0
% 15.79/2.82  | | | | | 
% 15.79/2.82  | | | | | REDUCE: (58), (124) imply:
% 15.79/2.82  | | | | |   (125)  $false
% 15.79/2.82  | | | | | 
% 15.79/2.82  | | | | | CLOSE: (125) is inconsistent.
% 15.79/2.82  | | | | | 
% 15.79/2.82  | | | | Case 2:
% 15.79/2.82  | | | | | 
% 15.79/2.82  | | | | |   (126)  all_19_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.82  | | | | |          (same_day(sunday, sunday) = v2 & on(c, sunday) = v1 & on(c,
% 15.79/2.82  | | | | |              sunday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.82  | | | | | 
% 15.79/2.82  | | | | | BETA: splitting (105) gives:
% 15.79/2.82  | | | | | 
% 15.79/2.82  | | | | | Case 1:
% 15.79/2.82  | | | | | | 
% 15.79/2.82  | | | | | |   (127)  all_61_0 = 0
% 15.79/2.82  | | | | | | 
% 15.79/2.82  | | | | | | REDUCE: (61), (127) imply:
% 15.79/2.82  | | | | | |   (128)  $false
% 15.79/2.82  | | | | | | 
% 15.79/2.82  | | | | | | CLOSE: (128) is inconsistent.
% 15.79/2.82  | | | | | | 
% 15.79/2.82  | | | | | Case 2:
% 15.79/2.82  | | | | | | 
% 15.79/2.82  | | | | | |   (129)  all_41_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.82  | | | | | |          (same_day(thursday, thursday) = v2 & on(c, thursday) = v1 &
% 15.79/2.82  | | | | | |            on(c, thursday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.82  | | | | | | 
% 15.79/2.82  | | | | | | BETA: splitting (101) gives:
% 15.79/2.82  | | | | | | 
% 15.79/2.82  | | | | | | Case 1:
% 15.79/2.82  | | | | | | | 
% 15.79/2.82  | | | | | | |   (130)  all_63_0 = 0
% 15.79/2.82  | | | | | | | 
% 15.79/2.82  | | | | | | | REDUCE: (64), (130) imply:
% 15.79/2.82  | | | | | | |   (131)  $false
% 15.79/2.82  | | | | | | | 
% 15.79/2.82  | | | | | | | CLOSE: (131) is inconsistent.
% 15.79/2.82  | | | | | | | 
% 15.79/2.82  | | | | | | Case 2:
% 15.79/2.82  | | | | | | | 
% 15.79/2.82  | | | | | | |   (132)  all_59_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any]
% 15.79/2.82  | | | | | | |          : (same_day(thursday, thursday) = v2 & on(c, thursday) =
% 15.79/2.82  | | | | | | |            v1 & on(c, thursday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.82  | | | | | | | 
% 15.79/2.82  | | | | | | | BETA: splitting (95) gives:
% 15.79/2.82  | | | | | | | 
% 15.79/2.82  | | | | | | | Case 1:
% 15.79/2.82  | | | | | | | | 
% 15.79/2.82  | | | | | | | |   (133)  all_67_0 = 0
% 15.79/2.82  | | | | | | | | 
% 15.79/2.82  | | | | | | | | REDUCE: (70), (133) imply:
% 15.79/2.82  | | | | | | | |   (134)  $false
% 15.79/2.82  | | | | | | | | 
% 15.79/2.82  | | | | | | | | CLOSE: (134) is inconsistent.
% 15.79/2.82  | | | | | | | | 
% 15.79/2.82  | | | | | | | Case 2:
% 15.79/2.82  | | | | | | | | 
% 15.79/2.83  | | | | | | | |   (135)  all_63_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 15.79/2.83  | | | | | | | |            any] : (same_day(thursday, thursday) = v2 & on(b,
% 15.79/2.83  | | | | | | | |              thursday) = v1 & on(b, thursday) = v0 & (v2 = 0 |
% 15.79/2.83  | | | | | | | |              v1 = 0 | v0 = 0))
% 15.79/2.83  | | | | | | | | 
% 15.79/2.83  | | | | | | | | BETA: splitting (135) gives:
% 15.79/2.83  | | | | | | | | 
% 15.79/2.83  | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | |   (136)  all_63_0 = 0
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | REDUCE: (64), (136) imply:
% 15.79/2.83  | | | | | | | | |   (137)  $false
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | CLOSE: (137) is inconsistent.
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | |   (138)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.83  | | | | | | | | |          (same_day(thursday, thursday) = v2 & on(b, thursday)
% 15.79/2.83  | | | | | | | | |            = v1 & on(b, thursday) = v0 & (v2 = 0 | v1 = 0 | v0
% 15.79/2.83  | | | | | | | | |              = 0))
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | DELTA: instantiating (138) with fresh symbols all_124_0,
% 15.79/2.83  | | | | | | | | |        all_124_1, all_124_2 gives:
% 15.79/2.83  | | | | | | | | |   (139)  same_day(thursday, thursday) = all_124_0 & on(b,
% 15.79/2.83  | | | | | | | | |            thursday) = all_124_1 & on(b, thursday) = all_124_2
% 15.79/2.83  | | | | | | | | |          & (all_124_0 = 0 | all_124_1 = 0 | all_124_2 = 0)
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | ALPHA: (139) implies:
% 15.79/2.83  | | | | | | | | |   (140)  on(b, thursday) = all_124_2
% 15.79/2.83  | | | | | | | | |   (141)  on(b, thursday) = all_124_1
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | BETA: splitting (103) gives:
% 15.79/2.83  | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | |   (142)  all_59_0 = 0
% 15.79/2.83  | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | REDUCE: (58), (142) imply:
% 15.79/2.83  | | | | | | | | | |   (143)  $false
% 15.79/2.83  | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | CLOSE: (143) is inconsistent.
% 15.79/2.83  | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | |   (144)  all_25_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.83  | | | | | | | | | |          [v2: any] : (same_day(tuesday, tuesday) = v2 &
% 15.79/2.83  | | | | | | | | | |            on(c, tuesday) = v1 & on(c, tuesday) = v0 & (v2 =
% 15.79/2.83  | | | | | | | | | |              0 | v1 = 0 | v0 = 0))
% 15.79/2.83  | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | BETA: splitting (90) gives:
% 15.79/2.83  | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | |   (145)  all_65_0 = 0
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | REDUCE: (67), (145) imply:
% 15.79/2.83  | | | | | | | | | | |   (146)  $false
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | |   (147)   ? [v0: int] : ( ~ (v0 = 0) & all_on(saturday) =
% 15.79/2.83  | | | | | | | | | | |            v0)
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | DELTA: instantiating (147) with fresh symbol all_136_0
% 15.79/2.83  | | | | | | | | | | |        gives:
% 15.79/2.83  | | | | | | | | | | |   (148)   ~ (all_136_0 = 0) & all_on(saturday) = all_136_0
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | ALPHA: (148) implies:
% 15.79/2.83  | | | | | | | | | | |   (149)   ~ (all_136_0 = 0)
% 15.79/2.83  | | | | | | | | | | |   (150)  all_on(saturday) = all_136_0
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | BETA: splitting (104) gives:
% 15.79/2.83  | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | |   (151)  all_65_0 = 0
% 15.79/2.83  | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | REDUCE: (67), (151) imply:
% 15.79/2.83  | | | | | | | | | | | |   (152)  $false
% 15.79/2.83  | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | CLOSE: (152) is inconsistent.
% 15.79/2.83  | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | |   (153)  all_61_0 = 0 | all_41_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.83  | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(saturday,
% 15.79/2.83  | | | | | | | | | | | |              thursday) = v2 & on(c, saturday) = v0 & on(c,
% 15.79/2.83  | | | | | | | | | | | |              thursday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.83  | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | BETA: splitting (93) gives:
% 15.79/2.83  | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | |   (154)  all_67_0 = 0
% 15.79/2.83  | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | REDUCE: (70), (154) imply:
% 15.79/2.83  | | | | | | | | | | | | |   (155)  $false
% 15.79/2.83  | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 15.79/2.83  | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | |   (156)  all_25_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.83  | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(tuesday,
% 15.79/2.83  | | | | | | | | | | | | |              sunday) = v2 & on(b, sunday) = v1 & on(b,
% 15.79/2.83  | | | | | | | | | | | | |              tuesday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.83  | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | BETA: splitting (92) gives:
% 15.79/2.83  | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | |   (157)  all_67_0 = 0
% 15.79/2.83  | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | REDUCE: (70), (157) imply:
% 15.79/2.83  | | | | | | | | | | | | | |   (158)  $false
% 15.79/2.83  | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | CLOSE: (158) is inconsistent.
% 15.79/2.83  | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | |   (159)  all_63_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.83  | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(thursday,
% 15.79/2.83  | | | | | | | | | | | | | |              sunday) = v2 & on(b, sunday) = v1 & on(b,
% 15.79/2.83  | | | | | | | | | | | | | |              thursday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.83  | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 15.79/2.83  | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | |   (160)  all_41_0 = 0
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | REDUCE: (52), (160) imply:
% 15.79/2.83  | | | | | | | | | | | | | | |   (161)  $false
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | |   (162)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.83  | | | | | | | | | | | | | | |          (same_day(thursday, thursday) = v2 & on(c,
% 15.79/2.83  | | | | | | | | | | | | | | |              thursday) = v1 & on(c, thursday) = v0 & (v2 =
% 15.79/2.83  | | | | | | | | | | | | | | |              0 | v1 = 0 | v0 = 0))
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | DELTA: instantiating (162) with fresh symbols all_159_0,
% 15.79/2.83  | | | | | | | | | | | | | | |        all_159_1, all_159_2 gives:
% 15.79/2.83  | | | | | | | | | | | | | | |   (163)  same_day(thursday, thursday) = all_159_0 & on(c,
% 15.79/2.83  | | | | | | | | | | | | | | |            thursday) = all_159_1 & on(c, thursday) =
% 15.79/2.83  | | | | | | | | | | | | | | |          all_159_2 & (all_159_0 = 0 | all_159_1 = 0 |
% 15.79/2.83  | | | | | | | | | | | | | | |            all_159_2 = 0)
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 15.79/2.83  | | | | | | | | | | | | | | |   (164)  on(c, thursday) = all_159_2
% 15.79/2.83  | | | | | | | | | | | | | | |   (165)  on(c, thursday) = all_159_1
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 15.79/2.83  | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | |   (166)  all_59_0 = 0
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | REDUCE: (58), (166) imply:
% 15.79/2.83  | | | | | | | | | | | | | | | |   (167)  $false
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | Case 2:
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | DELTA: instantiating (162) with fresh symbols all_164_0,
% 15.79/2.83  | | | | | | | | | | | | | | | |        all_164_1, all_164_2 gives:
% 15.79/2.83  | | | | | | | | | | | | | | | |   (168)  same_day(thursday, thursday) = all_164_0 & on(c,
% 15.79/2.83  | | | | | | | | | | | | | | | |            thursday) = all_164_1 & on(c, thursday) =
% 15.79/2.83  | | | | | | | | | | | | | | | |          all_164_2 & (all_164_0 = 0 | all_164_1 = 0 |
% 15.79/2.83  | | | | | | | | | | | | | | | |            all_164_2 = 0)
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 15.79/2.83  | | | | | | | | | | | | | | | |   (169)  on(c, thursday) = all_164_2
% 15.79/2.83  | | | | | | | | | | | | | | | |   (170)  on(c, thursday) = all_164_1
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 15.79/2.83  | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.83  | | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | |   (171)  all_25_0 = 0
% 15.79/2.83  | | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | | REDUCE: (43), (171) imply:
% 15.79/2.83  | | | | | | | | | | | | | | | | |   (172)  $false
% 15.79/2.83  | | | | | | | | | | | | | | | | | 
% 15.79/2.83  | | | | | | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 15.79/2.83  | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | |   (173)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.84  | | | | | | | | | | | | | | | | |          (same_day(tuesday, tuesday) = v2 & on(c, tuesday)
% 15.79/2.84  | | | | | | | | | | | | | | | | |            = v1 & on(c, tuesday) = v0 & (v2 = 0 | v1 = 0 |
% 15.79/2.84  | | | | | | | | | | | | | | | | |              v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | DELTA: instantiating (173) with fresh symbols all_174_0,
% 15.79/2.84  | | | | | | | | | | | | | | | | |        all_174_1, all_174_2 gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | |   (174)  same_day(tuesday, tuesday) = all_174_0 & on(c,
% 15.79/2.84  | | | | | | | | | | | | | | | | |            tuesday) = all_174_1 & on(c, tuesday) =
% 15.79/2.84  | | | | | | | | | | | | | | | | |          all_174_2 & (all_174_0 = 0 | all_174_1 = 0 |
% 15.79/2.84  | | | | | | | | | | | | | | | | |            all_174_2 = 0)
% 15.79/2.84  | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 15.79/2.84  | | | | | | | | | | | | | | | | |   (175)  on(c, tuesday) = all_174_2
% 15.79/2.84  | | | | | | | | | | | | | | | | |   (176)  on(c, tuesday) = all_174_1
% 15.79/2.84  | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | |   (177)  all_19_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | REDUCE: (40), (177) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | |   (178)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | |   (179)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.84  | | | | | | | | | | | | | | | | | |          (same_day(sunday, sunday) = v2 & on(c, sunday) =
% 15.79/2.84  | | | | | | | | | | | | | | | | | |            v1 & on(c, sunday) = v0 & (v2 = 0 | v1 = 0 | v0
% 15.79/2.84  | | | | | | | | | | | | | | | | | |              = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | DELTA: instantiating (179) with fresh symbols all_180_0,
% 15.79/2.84  | | | | | | | | | | | | | | | | | |        all_180_1, all_180_2 gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | |   (180)  same_day(sunday, sunday) = all_180_0 & on(c,
% 15.79/2.84  | | | | | | | | | | | | | | | | | |            sunday) = all_180_1 & on(c, sunday) = all_180_2
% 15.79/2.84  | | | | | | | | | | | | | | | | | |          & (all_180_0 = 0 | all_180_1 = 0 | all_180_2 = 0)
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 15.79/2.84  | | | | | | | | | | | | | | | | | |   (181)  on(c, sunday) = all_180_2
% 15.79/2.84  | | | | | | | | | | | | | | | | | |   (182)  on(c, sunday) = all_180_1
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | |   (183)  all_67_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | REDUCE: (70), (183) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | |   (184)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | |   (185)  all_25_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.84  | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(tuesday, tuesday) = v2 &
% 15.79/2.84  | | | | | | | | | | | | | | | | | | |            on(b, tuesday) = v1 & on(b, tuesday) = v0 & (v2
% 15.79/2.84  | | | | | | | | | | | | | | | | | | |              = 0 | v1 = 0 | v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | |   (186)  all_67_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (186) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | |   (187)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | |   (188)  all_63_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(sunday,
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | |              thursday) = v2 & on(b, sunday) = v0 & on(b,
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | |              thursday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | |   (189)  all_67_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (189) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | |   (190)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | |   (191)  all_63_0 = 0 | all_25_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(tuesday,
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | |              thursday) = v2 & on(b, thursday) = v1 & on(b,
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | |              tuesday) = v0 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | |   (192)  all_67_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (192) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | |   (193)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (193) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | |   (194)  all_63_0 = 0 | all_25_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(thursday,
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | |              tuesday) = v2 & on(b, thursday) = v0 & on(b,
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | |              tuesday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_63_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (195) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | |   (196)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (196) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_19_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(thursday, sunday) = v2 &
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | |            on(b, sunday) = v1 & on(b, thursday) = v0 & (v2
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | |              = 0 | v1 = 0 | v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_61_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (198) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | |   (199)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_41_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(saturday, thursday) = v2 &
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | |            on(c, saturday) = v0 & on(c, thursday) = v1 &
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | |            (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_25_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (201) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_19_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(tuesday, sunday) = v2 &
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | |            on(b, sunday) = v1 & on(b, tuesday) = v0 & (v2 =
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | |              0 | v1 = 0 | v0 = 0))
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_25_0 = 0
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (204) imply:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  $false
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(tuesday, tuesday) = v2 & on(b, tuesday)
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            = v1 & on(b, tuesday) = v0 & (v2 = 0 | v1 = 0 |
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              v0 = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (206) with fresh symbols all_222_0,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |        all_222_1, all_222_2 gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  same_day(tuesday, tuesday) = all_222_0 & on(b,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            tuesday) = all_222_1 & on(b, tuesday) =
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_222_2 & (all_222_0 = 0 | all_222_1 = 0 |
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_222_2 = 0)
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  on(b, tuesday) = all_222_2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  on(b, tuesday) = all_222_1
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_63_0 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (210) imply:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  $false
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_19_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(sunday, thursday) = v2 &
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            on(b, sunday) = v0 & on(b, thursday) = v1 & (v2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = 0 | v1 = 0 | v0 = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_63_0 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (213) imply:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  $false
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (214) is inconsistent.
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_25_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(tuesday, thursday) = v2 &
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            on(b, thursday) = v1 & on(b, tuesday) = v0 & (v2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = 0 | v1 = 0 | v0 = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_19_0 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (216) imply:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  $false
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(thursday, sunday) = v2 & on(b, sunday) =
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v1 & on(b, thursday) = v0 & (v2 = 0 | v1 = 0 |
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              v0 = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (218) with fresh symbols all_236_0,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_236_1, all_236_2 gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  same_day(thursday, sunday) = all_236_0 & on(b,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sunday) = all_236_1 & on(b, thursday) =
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_236_2 & (all_236_0 = 0 | all_236_1 = 0 |
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_236_2 = 0)
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  on(b, thursday) = all_236_2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  on(b, sunday) = all_236_1
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_63_0 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (222) imply:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  $false
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_25_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(thursday, tuesday) = v2 &
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            on(b, thursday) = v0 & on(b, tuesday) = v1 & (v2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = 0 | v1 = 0 | v0 = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_41_0 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (225) imply:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  $false
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(saturday, thursday) = v2 & on(c,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              saturday) = v0 & on(c, thursday) = v1 & (v2 =
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0 | v1 = 0 | v0 = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (227) with fresh symbols all_248_0,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_248_1, all_248_2 gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  same_day(saturday, thursday) = all_248_0 & on(c,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            saturday) = all_248_2 & on(c, thursday) =
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_248_1 & (all_248_0 = 0 | all_248_1 = 0 |
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_248_2 = 0)
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  on(c, thursday) = all_248_1
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_19_0 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (230) imply:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  $false
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (231) is inconsistent.
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(tuesday, sunday) = v2 & on(b, sunday) =
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v1 & on(b, tuesday) = v0 & (v2 = 0 | v1 = 0 | v0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (232) with fresh symbols all_256_0,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_256_1, all_256_2 gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  same_day(tuesday, sunday) = all_256_0 & on(b,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sunday) = all_256_1 & on(b, tuesday) = all_256_2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & (all_256_0 = 0 | all_256_1 = 0 | all_256_2 = 0)
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  on(b, tuesday) = all_256_2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  on(b, sunday) = all_256_1
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_25_0 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (236) imply:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  $false
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(thursday, tuesday) = v2 & on(b,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday) = v0 & on(b, tuesday) = v1 & (v2 = 0
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | v1 = 0 | v0 = 0))
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (238) with fresh symbols all_261_0,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_261_1, all_261_2 gives:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  same_day(thursday, tuesday) = all_261_0 & on(b,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            thursday) = all_261_2 & on(b, tuesday) =
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_261_1 & (all_261_0 = 0 | all_261_1 = 0 |
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_261_2 = 0)
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  on(b, tuesday) = all_261_1
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  on(b, thursday) = all_261_2
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_79_4, all_104_0,
% 15.79/2.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, simplifying with (80), (123) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_104_0 = all_79_4
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_79_2, all_98_0,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, simplifying with (82), (117) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_98_0 = all_79_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_79_6, all_92_0,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday, simplifying with (84), (111) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_92_0 = all_79_6
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_79_0, all_136_0,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              saturday, simplifying with (85), (150) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_136_0 = all_79_0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_256_2, all_261_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, b, simplifying with (234), (240) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_261_1 = all_256_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_222_1, all_261_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, b, simplifying with (209), (240) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_261_1 = all_222_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_222_2, all_261_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, b, simplifying with (208), (240) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_261_1 = all_222_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_41_0, all_124_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, b, simplifying with (53), (141) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_124_1 = all_41_0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_124_1, all_236_2,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, b, simplifying with (141), (220) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_236_2 = all_124_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_236_2, all_261_2,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, b, simplifying with (220), (241) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_261_2 = all_236_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_124_2, all_261_2,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, b, simplifying with (140), (241) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_261_2 = all_124_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_236_1, all_256_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday, b, simplifying with (221), (235) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_256_1 = all_236_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_174_2, all_174_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, c, simplifying with (175), (176) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_174_1 = all_174_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_159_2, all_164_2,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, c, simplifying with (164), (169) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_164_2 = all_159_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_164_2, all_164_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, c, simplifying with (169), (170) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_164_1 = all_164_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_164_1, all_248_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, c, simplifying with (170), (229) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_248_1 = all_164_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_159_1, all_248_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, c, simplifying with (165), (229) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_248_1 = all_159_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_29_0, all_180_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday, c, simplifying with (47), (182) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_180_1 = all_29_0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_180_2, all_180_1,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday, c, simplifying with (181), (182) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_180_1 = all_180_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (248) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_256_2 = all_222_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (247) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_256_2 = all_222_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (252) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_236_2 = all_124_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (263) implies:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_236_2 = all_124_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (262) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_222_1 = all_222_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (258) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_164_1 = all_159_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (266) implies:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_164_1 = all_159_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (264) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_124_1 = all_124_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (268) implies:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_124_1 = all_124_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (260) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_180_2 = all_29_0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (267) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_164_2 = all_159_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (271) implies:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_164_2 = all_159_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (272) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_159_1 = all_159_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (269) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_124_2 = all_41_0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (245) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_79_0 = 0)
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (242) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_79_4 = 0)
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (243) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_79_2 = 0)
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (244) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)   ~ (all_79_6 = 0)
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_63_0 = 0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (279) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  $false
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (280) is inconsistent.
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_59_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(sunday,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday) = v2 & on(c, sunday) = v0 & on(c,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_59_0 = 0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (282) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  $false
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_25_0 = 0 | all_19_0 = 0 |  ? [v0: any] :  ?
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (same_day(sunday,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday) = v2 & on(c, sunday) = v0 & on(c,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday) = v1 & (v2 = 0 | v1 = 0 | v0 = 0))
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_19_0 = 0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (285) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  $false
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (286) is inconsistent.
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(sunday, thursday) = v2 & on(b, sunday) =
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v0 & on(b, thursday) = v1 & (v2 = 0 | v1 = 0 |
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              v0 = 0))
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (287) with fresh symbols all_279_0,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_279_1, all_279_2 gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  same_day(sunday, thursday) = all_279_0 & on(b,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sunday) = all_279_2 & on(b, thursday) =
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_279_1 & (all_279_0 = 0 | all_279_1 = 0 |
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_279_2 = 0)
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  on(b, thursday) = all_279_1
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  on(b, sunday) = all_279_2
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  same_day(sunday, thursday) = all_279_0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_279_0 = 0 | all_279_1 = 0 | all_279_2 = 0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_25_0 = 0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (293) imply:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  $false
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (294) is inconsistent.
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(tuesday, thursday) = v2 & on(b,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday) = v1 & on(b, tuesday) = v0 & (v2 = 0
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | v1 = 0 | v0 = 0))
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (295) with fresh symbols all_289_0,
% 15.79/2.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_289_1, all_289_2 gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  same_day(tuesday, thursday) = all_289_0 & on(b,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            thursday) = all_289_1 & on(b, tuesday) =
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_289_2 & (all_289_0 = 0 | all_289_1 = 0 |
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_289_2 = 0)
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  on(b, tuesday) = all_289_2
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  on(b, thursday) = all_289_1
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  same_day(tuesday, thursday) = all_289_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_289_0 = 0 | all_289_1 = 0 | all_289_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_25_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (301) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_19_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(sunday, tuesday) = v2 &
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            on(c, sunday) = v0 & on(c, tuesday) = v1 & (v2 =
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0 | v1 = 0 | v0 = 0))
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_19_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (304) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (305) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(sunday, tuesday) = v2 & on(c, sunday) =
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v0 & on(c, tuesday) = v1 & (v2 = 0 | v1 = 0 | v0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = 0))
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (306) with fresh symbols all_303_0,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_303_1, all_303_2 gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  same_day(sunday, tuesday) = all_303_0 & on(c,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sunday) = all_303_2 & on(c, tuesday) = all_303_1
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & (all_303_0 = 0 | all_303_1 = 0 | all_303_2 = 0)
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  on(c, tuesday) = all_303_1
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  on(c, sunday) = all_303_2
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  same_day(sunday, tuesday) = all_303_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_303_0 = 0 | all_303_1 = 0 | all_303_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_222_2, all_289_2,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, b, simplifying with (208), (297) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_289_2 = all_222_2
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_41_0, all_289_1,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, b, simplifying with (53), (298) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_289_1 = all_41_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_279_1, all_289_1,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, b, simplifying with (289), (298) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_289_1 = all_279_1
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_236_1, all_279_2,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday, b, simplifying with (221), (290) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_279_2 = all_236_1
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_174_2, all_303_1,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, c, simplifying with (175), (308) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_303_1 = all_174_2
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_29_0, all_303_2,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday, c, simplifying with (47), (309) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_303_2 = all_29_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_73_0, all_289_0,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, tuesday, simplifying with (74), (299)
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_289_0 = all_73_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_33_0, all_303_0,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, sunday, simplifying with (50), (310)
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_303_0 = all_33_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_49_0, all_279_0,
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, sunday, simplifying with (56), (291)
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_279_0 = all_49_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (314) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_279_1 = all_41_0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_59_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (322) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (323) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_19_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (same_day(sunday, thursday) = v2 &
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            on(c, sunday) = v0 & on(c, thursday) = v1 & (v2
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = 0 | v1 = 0 | v0 = 0))
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_289_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (325) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_73_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (326) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (327) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_289_1 = 0 | all_289_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_279_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (329) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_49_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (330) implies:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_49_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (331) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)   ~ (all_279_0 = 0)
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_279_1 = 0 | all_279_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_279_1 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (321), (335) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_41_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (336) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_279_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)   ~ (all_279_1 = 0)
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (338) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_236_1 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (221), (340) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  on(b, sunday) = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_303_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (342) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_33_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (343) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_303_1 = 0 | all_303_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_289_1 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (346) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_41_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (347) implies:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_41_0 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (348) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  $false
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent.
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_289_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (350) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_222_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (351) implies:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_222_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (352) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  on(b, tuesday) = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_303_1 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (354) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_174_2 = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (355) imply:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  on(c, tuesday) = 0
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_19_0 = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (357) imply:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  $false
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (358) is inconsistent.
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (same_day(sunday, thursday) = v2 & on(c, sunday) =
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v0 & on(c, thursday) = v1 & (v2 = 0 | v1 = 0 |
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              v0 = 0))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (359) with fresh symbols all_341_0,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_341_1, all_341_2 gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  same_day(sunday, thursday) = all_341_0 & on(c,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sunday) = all_341_2 & on(c, thursday) =
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_341_1 & (all_341_0 = 0 | all_341_1 = 0 |
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_341_2 = 0)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  on(c, thursday) = all_341_1
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  on(c, sunday) = all_341_2
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  same_day(sunday, thursday) = all_341_0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_341_0 = 0 | all_341_1 = 0 | all_341_2 = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_159_2, all_341_1,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, c, simplifying with (164), (361) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_341_1 = all_159_2
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_29_0, all_341_2,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday, c, simplifying with (47), (362) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_341_2 = all_29_0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_49_0, all_341_0,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, sunday, simplifying with (56), (363)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_341_0 = all_49_0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_341_0 = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (368) imply:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_49_0 = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (369) imply:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  $false
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent.
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_341_1 = 0 | all_341_2 = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_341_1 = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (372) imply:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_159_2 = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (373) imply:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  on(c, thursday) = 0
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, thursday, friday, b, simplifying with
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (6), (8), (18), (21), (25), (28), (33), (353)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, thursday) = v0 & on(b,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday) = v2 & on(b, wednesday) = v1 & ( ~
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, tuesday, wednesday, b, simplifying with
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (6), (18), (21), (28), (353) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, tuesday) = v0 & on(b,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday) = v1 & on(b, tuesday) = v2 & ( ~
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, monday, tuesday, b, simplifying with
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (5), (6), (17), (18), (21), (28), (353) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, monday) = v0 & on(b,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday) = v1 & on(b, monday) = v2 & ( ~ (v2
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with sunday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, saturday, sunday, b, simplifying with (4),
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (10), (17), (27), (28), (30), (341) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(monday, saturday) = v0 & on(b,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              saturday) = v2 & on(b, monday) = v1 & ( ~ (v2
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with sunday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, sunday, monday, b, simplifying with (4),
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (17), (28), (30), (341) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(monday, sunday) = v0 & on(b, sunday)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = v2 & on(b, monday) = v1 & ( ~ (v2 = 0) |  ~
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with sunday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, friday, saturday, b, simplifying with (4),
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (9), (17), (27), (28), (30), (33), (341) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(monday, friday) = v0 & on(b, friday)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = v2 & on(b, monday) = v1 & ( ~ (v2 = 0) |  ~
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with sunday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, thursday, friday, b, simplifying with (4),
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (8), (17), (25), (28), (30), (33), (341) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(monday, thursday) = v0 & on(b,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday) = v2 & on(b, monday) = v1 & ( ~ (v2
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with sunday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, wednesday, thursday, b, simplifying with
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (4), (7), (17), (18), (25), (28), (30), (341)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(monday, wednesday) = v0 & on(b,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday) = v2 & on(b, monday) = v1 & ( ~ (v2
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with sunday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, tuesday, wednesday, b, simplifying with
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (4), (6), (17), (18), (21), (28), (30), (341)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(monday, tuesday) = v0 & on(b,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday) = v2 & on(b, monday) = v1 & ( ~ (v2 =
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with sunday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, monday, tuesday, b, simplifying with (4),
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (5), (17), (21), (28), (30), (341) gives:
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(monday, monday) = v0 & on(b, monday)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = v2 & on(b, monday) = v1 & ( ~ (v2 = 0) |  ~
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, saturday, sunday, c, simplifying with
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (6), (10), (18), (21), (27), (30), (31), (356)
% 15.79/2.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, saturday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              saturday) = v2 & on(c, wednesday) = v1 & ( ~
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, sunday, monday, c, simplifying with
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (4), (6), (17), (18), (21), (30), (31), (356)
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, sunday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              sunday) = v2 & on(c, wednesday) = v1 & ( ~ (v2
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, friday, saturday, c, simplifying with
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (6), (9), (18), (21), (27), (31), (33), (356)
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, friday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              friday) = v2 & on(c, wednesday) = v1 & ( ~ (v2
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, thursday, friday, c, simplifying with
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (6), (8), (18), (21), (25), (31), (33), (356)
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, thursday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday) = v2 & on(c, wednesday) = v1 & ( ~
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, wednesday, thursday, c, simplifying
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              with (6), (7), (18), (21), (25), (31), (356)
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, wednesday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday) = v2 & on(c, wednesday) = v1 & ( ~
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, tuesday, wednesday, c, simplifying with
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (6), (18), (21), (31), (356) gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, tuesday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday) = v1 & on(c, tuesday) = v2 & ( ~
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with tuesday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, monday, tuesday, c, simplifying with
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (5), (6), (17), (18), (21), (31), (356) gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(wednesday, monday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday) = v1 & on(c, monday) = v2 & ( ~ (v2
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with thursday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              friday, thursday, friday, c, simplifying with (8),
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (25), (31), (33), (374) gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(friday, thursday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              friday) = v1 & on(c, thursday) = v2 & ( ~ (v2
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (not_on_for_3_days) with thursday,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              friday, wednesday, thursday, c, simplifying with
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (7), (8), (18), (25), (31), (33), (374) gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (consecutive(friday, wednesday) = v0 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              friday) = v1 & on(c, wednesday) = v2 & ( ~ (v2
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (393) with fresh symbols all_361_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_361_1, all_361_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  consecutive(friday, wednesday) = all_361_2 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            friday) = all_361_1 & on(c, wednesday) =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_361_0 & ( ~ (all_361_0 = 0) |  ~ (all_361_1 =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_361_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  on(c, wednesday) = all_361_0
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (392) with fresh symbols all_363_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_363_1, all_363_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  consecutive(friday, thursday) = all_363_2 & on(c,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            friday) = all_363_1 & on(c, thursday) =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_363_0 & ( ~ (all_363_0 = 0) |  ~ (all_363_1 =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_363_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (396) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  on(c, thursday) = all_363_0
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (384) with fresh symbols all_365_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_365_1, all_365_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  consecutive(monday, monday) = all_365_2 & on(b,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            monday) = all_365_0 & on(b, monday) = all_365_1
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & ( ~ (all_365_0 = 0) |  ~ (all_365_1 = 0) |  ~
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_365_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  on(b, monday) = all_365_1
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  on(b, monday) = all_365_0
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (383) with fresh symbols all_367_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_367_1, all_367_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  consecutive(monday, tuesday) = all_367_2 & on(b,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            tuesday) = all_367_0 & on(b, monday) = all_367_1
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & ( ~ (all_367_0 = 0) |  ~ (all_367_1 = 0) |  ~
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_367_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (401) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  on(b, monday) = all_367_1
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  on(b, tuesday) = all_367_0
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  consecutive(monday, tuesday) = all_367_2
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)   ~ (all_367_0 = 0) |  ~ (all_367_1 = 0) |  ~
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_367_2 = 0)
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (382) with fresh symbols all_369_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_369_1, all_369_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  consecutive(monday, wednesday) = all_369_2 & on(b,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            wednesday) = all_369_0 & on(b, monday) =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_369_1 & ( ~ (all_369_0 = 0) |  ~ (all_369_1 =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_369_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (406) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  on(b, monday) = all_369_1
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (381) with fresh symbols all_371_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_371_1, all_371_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  consecutive(monday, thursday) = all_371_2 & on(b,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            thursday) = all_371_0 & on(b, monday) =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_371_1 & ( ~ (all_371_0 = 0) |  ~ (all_371_1 =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_371_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (408) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  on(b, monday) = all_371_1
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (376) with fresh symbols all_377_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_377_1, all_377_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  consecutive(wednesday, tuesday) = all_377_2 &
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          on(b, wednesday) = all_377_1 & on(b, tuesday) =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_377_0 & ( ~ (all_377_0 = 0) |  ~ (all_377_1 =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_377_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (410) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  on(b, tuesday) = all_377_0
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (375) with fresh symbols all_381_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_381_1, all_381_2 gives:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  consecutive(wednesday, thursday) = all_381_2 &
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          on(b, thursday) = all_381_0 & on(b, wednesday) =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_381_1 & ( ~ (all_381_0 = 0) |  ~ (all_381_1 =
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_381_2 = 0))
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies:
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  consecutive(wednesday, thursday) = all_381_2
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (391) with fresh symbols all_389_0,
% 15.79/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_389_1, all_389_2 gives:
% 16.20/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  consecutive(wednesday, monday) = all_389_2 & on(c,
% 16.20/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            wednesday) = all_389_1 & on(c, monday) =
% 16.20/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_389_0 & ( ~ (all_389_0 = 0) |  ~ (all_389_1 =
% 16.20/2.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_389_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  on(c, wednesday) = all_389_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (388) with fresh symbols all_391_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_391_1, all_391_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  consecutive(wednesday, thursday) = all_391_2 &
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          on(c, thursday) = all_391_0 & on(c, wednesday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_391_1 & ( ~ (all_391_0 = 0) |  ~ (all_391_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_391_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (416) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  on(c, wednesday) = all_391_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  on(c, thursday) = all_391_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  consecutive(wednesday, thursday) = all_391_2
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)   ~ (all_391_0 = 0) |  ~ (all_391_1 = 0) |  ~
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_391_2 = 0)
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (387) with fresh symbols all_393_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_393_1, all_393_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  consecutive(wednesday, friday) = all_393_2 & on(c,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            friday) = all_393_0 & on(c, wednesday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_393_1 & ( ~ (all_393_0 = 0) |  ~ (all_393_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_393_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  on(c, wednesday) = all_393_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (386) with fresh symbols all_395_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_395_1, all_395_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  consecutive(wednesday, sunday) = all_395_2 & on(c,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sunday) = all_395_0 & on(c, wednesday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_395_1 & ( ~ (all_395_0 = 0) |  ~ (all_395_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_395_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (423) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  on(c, wednesday) = all_395_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (390) with fresh symbols all_397_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_397_1, all_397_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  consecutive(wednesday, tuesday) = all_397_2 &
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          on(c, wednesday) = all_397_1 & on(c, tuesday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_397_0 & ( ~ (all_397_0 = 0) |  ~ (all_397_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_397_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  on(c, wednesday) = all_397_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (389) with fresh symbols all_399_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_399_1, all_399_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  consecutive(wednesday, wednesday) = all_399_2 &
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          on(c, wednesday) = all_399_0 & on(c, wednesday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_399_1 & ( ~ (all_399_0 = 0) |  ~ (all_399_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_399_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (427) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  on(c, wednesday) = all_399_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  on(c, wednesday) = all_399_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (380) with fresh symbols all_403_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_403_1, all_403_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  consecutive(monday, friday) = all_403_2 & on(b,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            friday) = all_403_0 & on(b, monday) = all_403_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & ( ~ (all_403_0 = 0) |  ~ (all_403_1 = 0) |  ~
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_403_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  on(b, monday) = all_403_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (379) with fresh symbols all_405_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_405_1, all_405_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  consecutive(monday, sunday) = all_405_2 & on(b,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sunday) = all_405_0 & on(b, monday) = all_405_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & ( ~ (all_405_0 = 0) |  ~ (all_405_1 = 0) |  ~
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_405_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (432) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  on(b, monday) = all_405_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (378) with fresh symbols all_407_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_407_1, all_407_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  consecutive(monday, saturday) = all_407_2 & on(b,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            saturday) = all_407_0 & on(b, monday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_407_1 & ( ~ (all_407_0 = 0) |  ~ (all_407_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_407_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  on(b, monday) = all_407_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (377) with fresh symbols all_411_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_411_1, all_411_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  consecutive(wednesday, monday) = all_411_2 & on(b,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            wednesday) = all_411_1 & on(b, monday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_411_0 & ( ~ (all_411_0 = 0) |  ~ (all_411_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_411_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (436) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  on(b, monday) = all_411_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (385) with fresh symbols all_415_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_415_1, all_415_2 gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  consecutive(wednesday, saturday) = all_415_2 &
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          on(c, saturday) = all_415_0 & on(c, wednesday) =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_415_1 & ( ~ (all_415_0 = 0) |  ~ (all_415_1 =
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_415_2 = 0))
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (438) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  on(c, wednesday) = all_415_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_367_1, all_369_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (402), (407) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_369_1 = all_367_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_365_1, all_369_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (399), (407) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_369_1 = all_365_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_405_1, all_407_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (433), (435) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_407_1 = all_405_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_371_1, all_407_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (409), (435) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_407_1 = all_371_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_407_1, all_411_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (435), (437) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_411_0 = all_407_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_403_1, all_411_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (431), (437) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_411_0 = all_403_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_367_1, all_411_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (402), (437) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_411_0 = all_367_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_365_0, all_411_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, b, simplifying with (400), (437) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  all_411_0 = all_365_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_377_0, tuesday, b,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (353), (411) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_377_0 = 0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_367_0, all_377_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              tuesday, b, simplifying with (403), (411) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_377_0 = all_367_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_391_1, all_393_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (417), (422) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_393_1 = all_391_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_393_1, all_399_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (422), (428) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_399_1 = all_393_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_361_0, all_399_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (395), (428) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_399_1 = all_361_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_397_1, all_399_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (426), (429) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_399_0 = all_397_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_395_1, all_399_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (424), (429) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_399_0 = all_395_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_391_1, all_399_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (417), (429) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_399_0 = all_391_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_399_0, all_415_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (429), (439) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_415_1 = all_399_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_389_1, all_415_1,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, c, simplifying with (415), (439) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_415_1 = all_389_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_391_0, thursday, c,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (374), (418) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_391_0 = 0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_363_0, all_391_0,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, c, simplifying with (397), (418) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_391_0 = all_363_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_367_2, tuesday,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, simplifying with (5), (404) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_367_2 = 0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_391_2, thursday,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, simplifying with (7), (419) gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_391_2 = 0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_381_2, all_391_2,
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              thursday, wednesday, simplifying with (413), (419)
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_391_2 = all_381_2
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (457) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_399_0 = all_389_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (463) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_399_0 = all_389_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (445) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_407_1 = all_403_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_407_1 = all_403_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (447) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_403_1 = all_365_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (446) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_403_1 = all_367_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (443) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_405_1 = all_371_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (466) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_405_1 = all_403_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (470) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_403_1 = all_371_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_403_1 = all_371_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (472) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_371_1 = all_367_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (472) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_371_1 = all_365_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (455) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_397_1 = all_391_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (454) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_397_1 = all_395_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (464) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  all_397_1 = all_389_1
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (452) imply:
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_393_1 = all_361_0
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (478) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_393_1 = all_361_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (476) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_395_1 = all_391_1
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (477) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_395_1 = all_389_1
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (481) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_391_1 = all_389_1
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (482) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_391_1 = all_389_1
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (479) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_391_1 = all_361_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (484) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_391_1 = all_361_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (459) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_363_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (485) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_389_1 = all_361_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (462) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_381_2 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (449) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_367_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (474) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_367_1 = all_365_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (490) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_367_1 = all_365_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (441) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_367_1 = all_365_1
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_367_1 = all_365_1
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (493) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_365_0 = all_365_1
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)   ~ (all_367_0 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (495) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (496) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)   ~ (all_367_1 = 0) |  ~ (all_367_2 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)   ~ (all_367_1 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (498) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)   ~ (all_365_1 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)   ~ (all_391_0 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (458), (500) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (501) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)   ~ (all_391_1 = 0) |  ~ (all_391_2 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (502) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)   ~ (all_391_1 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (485), (503) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)   ~ (all_361_0 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_79_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (505) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (506) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_79_1 = 0 | all_79_2 = 0 | all_79_3 = 0 |
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_79_4 = 0 | all_79_5 = 0 | all_79_6 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with monday, all_365_1,
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (17), (399) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_365_1 = 0 |  ? [v0: int] : ( ~ (v0 = 0) &
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_on(monday) = v0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with wednesday, all_361_0,
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (18), (395) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_361_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) &
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_on(wednesday) = v0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_365_1 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (499), (510) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (511) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)   ? [v0: int] : ( ~ (v0 = 0) & all_on(monday) = v0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (512) with fresh symbol all_454_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)   ~ (all_454_0 = 0) & all_on(monday) = all_454_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)   ~ (all_454_0 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  all_on(monday) = all_454_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_361_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (504), (516) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (517) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)   ? [v0: int] : ( ~ (v0 = 0) & all_on(wednesday) =
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (518) with fresh symbol all_460_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)   ~ (all_460_0 = 0) & all_on(wednesday) = all_460_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)   ~ (all_460_0 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_on(wednesday) = all_460_0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_79_5, all_454_0,
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              monday, simplifying with (79), (515) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  all_454_0 = all_79_5
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_79_3, all_460_0,
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              wednesday, simplifying with (81), (521) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_460_0 = all_79_3
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (520), (523) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)   ~ (all_79_3 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (522) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)   ~ (all_79_5 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_79_1 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (526) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_75_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (527) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_75_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (528) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (529) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  all_79_2 = 0 | all_79_3 = 0 | all_79_4 = 0 |
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_79_5 = 0 | all_79_6 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (530) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_79_2 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (277), (531) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (532) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  all_79_3 = 0 | all_79_4 = 0 | all_79_5 = 0 |
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_79_6 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (533) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_79_3 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (524), (534) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (535) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  all_79_4 = 0 | all_79_5 = 0 | all_79_6 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (536) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_79_4 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (537) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (538) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  all_79_5 = 0 | all_79_6 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  all_79_5 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (540) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (541) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  all_79_6 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (542) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (543) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)   ~ (all_391_2 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (461), (544) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (545) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)   ~ (all_367_2 = 0)
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (460), (546) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  $false
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (547) is inconsistent.
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  all_341_2 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (548) imply:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  all_29_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (549) implies:
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  all_29_0 = 0
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (550) imply:
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  $false
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (551) is inconsistent.
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  all_303_2 = 0
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (552) imply:
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  all_29_0 = 0
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (553) implies:
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  all_29_0 = 0
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (554) imply:
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  $false
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (555) is inconsistent.
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | | 
% 16.20/2.92  | | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | | 
% 16.20/2.92  | | | | | | | | End of split
% 16.20/2.92  | | | | | | | | 
% 16.20/2.92  | | | | | | | End of split
% 16.20/2.92  | | | | | | | 
% 16.20/2.92  | | | | | | End of split
% 16.20/2.92  | | | | | | 
% 16.20/2.92  | | | | | End of split
% 16.20/2.92  | | | | | 
% 16.20/2.92  | | | | End of split
% 16.20/2.92  | | | | 
% 16.20/2.92  | | | End of split
% 16.20/2.92  | | | 
% 16.20/2.92  | | End of split
% 16.20/2.92  | | 
% 16.20/2.92  | End of split
% 16.20/2.92  | 
% 16.20/2.92  End of proof
% 16.20/2.92  % SZS output end Proof for theBenchmark
% 16.20/2.92  
% 16.20/2.92  2313ms
%------------------------------------------------------------------------------