%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n007.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 09:16:16 EDT 2023

% Result   : Theorem 9.61s 2.12s
% Output   : Proof 16.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 06:05:13 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.63  ________       _____
% 0.20/0.63  ___  __ \_________(_)________________________________
% 0.20/0.63  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.63  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.63  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63  
% 0.20/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63  (2023-06-19)
% 0.20/0.63  
% 0.20/0.63  (c) Philipp Rümmer, 2009-2023
% 0.20/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63                Amanda Stjerna.
% 0.20/0.63  Free software under BSD-3-Clause.
% 0.20/0.63  
% 0.20/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63  
% 0.20/0.64  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.65  Running up to 7 provers in parallel.
% 0.20/0.67  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.67  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.67  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.67  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.68  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.68  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.68  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.58/1.17  Prover 4: Preprocessing ...
% 2.58/1.17  Prover 1: Preprocessing ...
% 3.02/1.22  Prover 2: Preprocessing ...
% 3.02/1.22  Prover 5: Preprocessing ...
% 3.02/1.22  Prover 0: Preprocessing ...
% 3.02/1.22  Prover 6: Preprocessing ...
% 3.02/1.22  Prover 3: Preprocessing ...
% 5.62/1.66  Prover 3: Constructing countermodel ...
% 6.23/1.66  Prover 6: Constructing countermodel ...
% 6.23/1.66  Prover 1: Constructing countermodel ...
% 6.37/1.71  Prover 5: Proving ...
% 7.43/1.84  Prover 2: Proving ...
% 7.43/1.85  Prover 4: Constructing countermodel ...
% 7.87/1.97  Prover 0: Proving ...
% 9.61/2.12  Prover 3: proved (1446ms)
% 9.61/2.12  
% 9.61/2.12  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.61/2.12  
% 9.61/2.12  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.61/2.12  Prover 5: stopped
% 9.61/2.12  Prover 0: stopped
% 9.61/2.12  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.61/2.13  Prover 2: stopped
% 9.61/2.13  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.61/2.13  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.61/2.13  Prover 6: stopped
% 9.61/2.13  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.85/2.19  Prover 8: Preprocessing ...
% 9.85/2.20  Prover 7: Preprocessing ...
% 9.85/2.21  Prover 10: Preprocessing ...
% 9.85/2.21  Prover 13: Preprocessing ...
% 9.85/2.21  Prover 11: Preprocessing ...
% 10.79/2.33  Prover 10: Constructing countermodel ...
% 11.22/2.34  Prover 13: Warning: ignoring some quantifiers
% 11.22/2.35  Prover 13: Constructing countermodel ...
% 11.36/2.37  Prover 8: Warning: ignoring some quantifiers
% 11.36/2.39  Prover 8: Constructing countermodel ...
% 11.36/2.40  Prover 7: Constructing countermodel ...
% 11.83/2.43  Prover 11: Constructing countermodel ...
% 15.40/2.98  Prover 1: Found proof (size 318)
% 15.40/2.98  Prover 1: proved (2322ms)
% 15.40/2.98  Prover 7: stopped
% 15.40/2.98  Prover 11: stopped
% 15.40/2.98  Prover 8: stopped
% 15.40/2.99  Prover 10: stopped
% 15.40/2.99  Prover 13: stopped
% 15.40/2.99  Prover 4: stopped
% 15.40/2.99  
% 15.40/2.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.40/2.99  
% 15.89/3.06  % SZS output start Proof for theBenchmark
% 15.89/3.07  Assumptions after simplification:
% 15.89/3.07  ---------------------------------
% 15.89/3.07  
% 15.89/3.07    (mp_abc_sum_increase)
% 15.89/3.11     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (constant(v0) = 0) |  ~ (sum(v1,
% 15.89/3.11          v2) = v0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4:
% 15.89/3.11        any] :  ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 15.89/3.11      (constant(v2) = v4 & constant(v1) = v3 & decreases(v2) = v6 & decreases(v1)
% 15.89/3.11        = v7 & increases(v2) = v8 & increases(v1) = v5 & ((v8 = 0 & v7 = 0) | (v6
% 15.89/3.11            = 0 & v5 = 0) | (v4 = 0 & v3 = 0))))
% 15.89/3.11  
% 15.89/3.11    (mp_growth_rate)
% 15.89/3.12    $i(zero) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 15.89/3.12      (growth_rate(v0, v2) = v3) |  ~ (in_environment(v1, v2) = 0) |  ~ $i(v2) | 
% 15.89/3.12      ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ? [v6: $i] :  ? [v7:
% 15.89/3.12        any] :  ? [v8: any] :  ? [v9: any] :  ? [v10: any] :  ? [v11: any] :  ?
% 15.89/3.12      [v12: any] : (constant(v6) = v8 & decreases(v6) = v11 & increases(v6) = v9 &
% 15.89/3.12        environment(v1) = v4 & subpopulation(v0, v1, v2) = v5 & greater(v6, zero)
% 15.89/3.12        = v7 & greater(v3, zero) = v10 & greater(zero, v3) = v12 &
% 15.89/3.12        cardinality_at_time(v0, v2) = v6 & $i(v6) & ( ~ (v7 = 0) |  ~ (v5 = 0) | 
% 15.89/3.12          ~ (v4 = 0) | (( ~ (v11 = 0) | v12 = 0) & ( ~ (v9 = 0) | v10 = 0) & ( ~
% 15.89/3.12              (v8 = 0) | v3 = zero)))))
% 15.89/3.12  
% 15.89/3.12    (mp_non_zero_producers)
% 15.89/3.12    $i(first_movers) & $i(efficient_producers) & $i(zero) &  ! [v0: $i] :  ! [v1:
% 15.89/3.12      $i] : ( ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) | 
% 15.89/3.12      ~ $i(v1) |  ~ $i(v0) |  ? [v2: any] :  ? [v3: $i] :  ? [v4: any] :  ? [v5:
% 15.89/3.12        $i] :  ? [v6: any] : (environment(v0) = v2 & greater(v5, zero) = v6 &
% 15.89/3.12        greater(v3, zero) = v4 & cardinality_at_time(first_movers, v1) = v3 &
% 15.89/3.12        cardinality_at_time(efficient_producers, v1) = v5 & $i(v5) & $i(v3) & ( ~
% 15.89/3.12          (v2 = 0) | (v6 = 0 & v4 = 0))))
% 15.89/3.12  
% 15.89/3.12    (mp_only_members)
% 15.89/3.13    $i(first_movers) & $i(efficient_producers) & $i(zero) &  ! [v0: $i] :  ! [v1:
% 15.89/3.13      $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 15.89/3.13      (number_of_organizations(v0, v2) = v4) |  ~ (cardinality_at_time(v1, v2) =
% 15.89/3.13        v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: any] :  ? [v6: any] :  ?
% 15.89/3.13      [v7: any] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] : (environment(v0) = v5
% 15.89/3.13        & subpopulation(v1, v0, v2) = v6 & greater(v3, zero) = v7 &
% 15.89/3.13        cardinality_at_time(first_movers, v2) = v8 &
% 15.89/3.13        cardinality_at_time(efficient_producers, v2) = v9 & sum(v8, v9) = v10 &
% 15.89/3.13        $i(v10) & $i(v9) & $i(v8) & ( ~ (v6 = 0) |  ~ (v5 = 0) | v10 = v4 | (v7 =
% 15.89/3.13            0 &  ~ (v1 = first_movers) &  ~ (v1 = efficient_producers)))))
% 15.89/3.13  
% 15.89/3.13    (mp_subpopulations)
% 15.89/3.13    $i(first_movers) & $i(efficient_producers) &  ! [v0: $i] :  ! [v1: $i] :  !
% 15.89/3.13    [v2: any] : ( ~ (subpopulation(first_movers, v0, v1) = v2) |  ~ $i(v1) |  ~
% 15.89/3.13      $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] : (in_environment(v0,
% 15.89/3.13          v1) = v4 & environment(v0) = v3 & subpopulation(efficient_producers, v0,
% 15.89/3.13          v1) = v5 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v5 = 0 & v2 = 0))))
% 15.89/3.13  
% 15.89/3.13    (mp_time_point_occur)
% 15.89/3.13    $i(first_movers) & $i(efficient_producers) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 15.89/3.13      (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ~ $i(v1)
% 15.89/3.13      |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] : (in_environment(v0, v1) = v3 &
% 15.89/3.13        environment(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 15.89/3.13  
% 15.89/3.13    (prove_l7)
% 15.89/3.14    $i(first_movers) & $i(efficient_producers) & $i(zero) &  ? [v0: $i] :  ? [v1:
% 15.89/3.14      $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: any] :  ? [v6: any]
% 15.89/3.14    :  ? [v7: any] :  ? [v8: any] : (subpopulations(first_movers,
% 15.89/3.14        efficient_producers, v0, v1) = 0 & growth_rate(first_movers, v1) = v3 &
% 15.89/3.14      growth_rate(efficient_producers, v1) = v4 & constant(v2) = 0 &
% 15.89/3.14      number_of_organizations(v0, v1) = v2 & environment(v0) = 0 & greater(v4,
% 15.89/3.14        zero) = v7 & greater(v3, zero) = v5 & greater(zero, v4) = v6 &
% 15.89/3.14      greater(zero, v3) = v8 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 15.89/3.14        (v8 = 0) |  ~ (v7 = 0)) & ( ~ (v6 = 0) |  ~ (v5 = 0)) & ( ~ (v4 = zero) | 
% 15.89/3.14        ~ (v3 = zero)))
% 15.89/3.14  
% 15.89/3.14    (function-axioms)
% 16.36/3.15     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 16.36/3.15    [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : (v1 = v0 |  ~ (subpopulations(v5, v4,
% 16.36/3.15          v3, v2) = v1) |  ~ (subpopulations(v5, v4, v3, v2) = v0)) &  ! [v0:
% 16.36/3.15      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 16.36/3.15    :  ! [v4: $i] : (v1 = v0 |  ~ (subpopulation(v4, v3, v2) = v1) |  ~
% 16.36/3.15      (subpopulation(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 16.36/3.15    :  ! [v3: $i] : (v1 = v0 |  ~ (growth_rate(v3, v2) = v1) |  ~ (growth_rate(v3,
% 16.36/3.15          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 16.36/3.15    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (in_environment(v3, v2) = v1) |  ~
% 16.36/3.15      (in_environment(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : 
% 16.36/3.15    ! [v3: $i] : (v1 = v0 |  ~ (number_of_organizations(v3, v2) = v1) |  ~
% 16.36/3.15      (number_of_organizations(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 16.36/3.15    [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 16.36/3.15      (greater(v3, v2) = v1) |  ~ (greater(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 16.36/3.15      $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (cardinality_at_time(v3, v2)
% 16.36/3.15        = v1) |  ~ (cardinality_at_time(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i]
% 16.36/3.15    :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (sum(v3, v2) = v1) |  ~ (sum(v3,
% 16.36/3.15          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 16.36/3.15    ! [v2: $i] : (v1 = v0 |  ~ (constant(v2) = v1) |  ~ (constant(v2) = v0)) &  !
% 16.36/3.15    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 16.36/3.15      |  ~ (decreases(v2) = v1) |  ~ (decreases(v2) = v0)) &  ! [v0:
% 16.36/3.15      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 16.36/3.15      ~ (increases(v2) = v1) |  ~ (increases(v2) = v0)) &  ! [v0:
% 16.36/3.15      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 16.36/3.15      ~ (environment(v2) = v1) |  ~ (environment(v2) = v0))
% 16.36/3.15  
% 16.36/3.15  Further assumptions not needed in the proof:
% 16.36/3.15  --------------------------------------------
% 16.36/3.15  a9
% 16.36/3.15  
% 16.36/3.15  Those formulas are unsatisfiable:
% 16.36/3.15  ---------------------------------
% 16.36/3.15  
% 16.36/3.15  Begin of proof
% 16.36/3.15  | 
% 16.36/3.15  | ALPHA: (mp_only_members) implies:
% 16.36/3.15  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (
% 16.36/3.15  |          ~ (number_of_organizations(v0, v2) = v4) |  ~
% 16.36/3.15  |          (cardinality_at_time(v1, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 16.36/3.15  |          $i(v0) |  ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: $i] : 
% 16.36/3.15  |          ? [v9: $i] :  ? [v10: $i] : (environment(v0) = v5 & subpopulation(v1,
% 16.36/3.15  |              v0, v2) = v6 & greater(v3, zero) = v7 &
% 16.36/3.16  |            cardinality_at_time(first_movers, v2) = v8 &
% 16.36/3.16  |            cardinality_at_time(efficient_producers, v2) = v9 & sum(v8, v9) =
% 16.36/3.16  |            v10 & $i(v10) & $i(v9) & $i(v8) & ( ~ (v6 = 0) |  ~ (v5 = 0) | v10
% 16.36/3.16  |              = v4 | (v7 = 0 &  ~ (v1 = first_movers) &  ~ (v1 =
% 16.36/3.16  |                  efficient_producers)))))
% 16.36/3.16  | 
% 16.36/3.16  | ALPHA: (mp_subpopulations) implies:
% 16.36/3.16  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: any] : ( ~
% 16.36/3.16  |          (subpopulation(first_movers, v0, v1) = v2) |  ~ $i(v1) |  ~ $i(v0) | 
% 16.36/3.16  |          ? [v3: any] :  ? [v4: any] :  ? [v5: any] : (in_environment(v0, v1) =
% 16.36/3.16  |            v4 & environment(v0) = v3 & subpopulation(efficient_producers, v0,
% 16.36/3.16  |              v1) = v5 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v5 = 0 & v2 = 0))))
% 16.36/3.16  | 
% 16.36/3.16  | ALPHA: (mp_growth_rate) implies:
% 16.36/3.16  |   (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 16.36/3.16  |          (growth_rate(v0, v2) = v3) |  ~ (in_environment(v1, v2) = 0) |  ~
% 16.36/3.16  |          $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ?
% 16.36/3.16  |          [v6: $i] :  ? [v7: any] :  ? [v8: any] :  ? [v9: any] :  ? [v10: any]
% 16.36/3.16  |          :  ? [v11: any] :  ? [v12: any] : (constant(v6) = v8 & decreases(v6)
% 16.36/3.16  |            = v11 & increases(v6) = v9 & environment(v1) = v4 &
% 16.36/3.16  |            subpopulation(v0, v1, v2) = v5 & greater(v6, zero) = v7 &
% 16.36/3.16  |            greater(v3, zero) = v10 & greater(zero, v3) = v12 &
% 16.36/3.16  |            cardinality_at_time(v0, v2) = v6 & $i(v6) & ( ~ (v7 = 0) |  ~ (v5 =
% 16.36/3.16  |                0) |  ~ (v4 = 0) | (( ~ (v11 = 0) | v12 = 0) & ( ~ (v9 = 0) |
% 16.36/3.16  |                  v10 = 0) & ( ~ (v8 = 0) | v3 = zero)))))
% 16.36/3.16  | 
% 16.36/3.16  | ALPHA: (mp_non_zero_producers) implies:
% 16.36/3.16  |   (4)   ! [v0: $i] :  ! [v1: $i] : ( ~ (subpopulations(first_movers,
% 16.36/3.16  |              efficient_producers, v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 16.36/3.16  |          [v2: any] :  ? [v3: $i] :  ? [v4: any] :  ? [v5: $i] :  ? [v6: any] :
% 16.36/3.17  |          (environment(v0) = v2 & greater(v5, zero) = v6 & greater(v3, zero) =
% 16.36/3.17  |            v4 & cardinality_at_time(first_movers, v1) = v3 &
% 16.36/3.17  |            cardinality_at_time(efficient_producers, v1) = v5 & $i(v5) & $i(v3)
% 16.36/3.17  |            & ( ~ (v2 = 0) | (v6 = 0 & v4 = 0))))
% 16.36/3.17  | 
% 16.36/3.17  | ALPHA: (mp_time_point_occur) implies:
% 16.36/3.17  |   (5)   ! [v0: $i] :  ! [v1: $i] : ( ~ (subpopulations(first_movers,
% 16.36/3.17  |              efficient_producers, v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 16.36/3.17  |          [v2: any] :  ? [v3: any] : (in_environment(v0, v1) = v3 &
% 16.36/3.17  |            environment(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 16.36/3.17  | 
% 16.36/3.17  | ALPHA: (prove_l7) implies:
% 16.36/3.17  |   (6)  $i(efficient_producers)
% 16.36/3.17  |   (7)  $i(first_movers)
% 16.36/3.17  |   (8)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 16.36/3.17  |        ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 16.36/3.17  |        (subpopulations(first_movers, efficient_producers, v0, v1) = 0 &
% 16.36/3.17  |          growth_rate(first_movers, v1) = v3 & growth_rate(efficient_producers,
% 16.36/3.17  |            v1) = v4 & constant(v2) = 0 & number_of_organizations(v0, v1) = v2
% 16.36/3.17  |          & environment(v0) = 0 & greater(v4, zero) = v7 & greater(v3, zero) =
% 16.36/3.17  |          v5 & greater(zero, v4) = v6 & greater(zero, v3) = v8 & $i(v4) &
% 16.36/3.17  |          $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v8 = 0) |  ~ (v7 = 0)) & ( ~
% 16.36/3.17  |            (v6 = 0) |  ~ (v5 = 0)) & ( ~ (v4 = zero) |  ~ (v3 = zero)))
% 16.36/3.17  | 
% 16.36/3.17  | ALPHA: (function-axioms) implies:
% 16.36/3.17  |   (9)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 16.36/3.17  |        (v1 = v0 |  ~ (environment(v2) = v1) |  ~ (environment(v2) = v0))
% 16.36/3.18  |   (10)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 16.36/3.18  |         : (v1 = v0 |  ~ (increases(v2) = v1) |  ~ (increases(v2) = v0))
% 16.36/3.18  |   (11)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 16.36/3.18  |         : (v1 = v0 |  ~ (decreases(v2) = v1) |  ~ (decreases(v2) = v0))
% 16.36/3.18  |   (12)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 16.36/3.18  |         : (v1 = v0 |  ~ (constant(v2) = v1) |  ~ (constant(v2) = v0))
% 16.36/3.18  |   (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 16.36/3.18  |           (sum(v3, v2) = v1) |  ~ (sum(v3, v2) = v0))
% 16.36/3.18  |   (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 16.36/3.18  |           (cardinality_at_time(v3, v2) = v1) |  ~ (cardinality_at_time(v3, v2)
% 16.36/3.18  |             = v0))
% 16.36/3.18  |   (15)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 16.36/3.18  |         :  ! [v3: $i] : (v1 = v0 |  ~ (greater(v3, v2) = v1) |  ~ (greater(v3,
% 16.36/3.18  |               v2) = v0))
% 16.36/3.18  |   (16)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 16.36/3.18  |         :  ! [v3: $i] : (v1 = v0 |  ~ (in_environment(v3, v2) = v1) |  ~
% 16.36/3.18  |           (in_environment(v3, v2) = v0))
% 16.36/3.18  |   (17)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 16.36/3.18  |         :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (subpopulation(v4, v3, v2)
% 16.36/3.18  |             = v1) |  ~ (subpopulation(v4, v3, v2) = v0))
% 16.36/3.18  | 
% 16.36/3.18  | DELTA: instantiating (8) with fresh symbols all_11_0, all_11_1, all_11_2,
% 16.36/3.18  |        all_11_3, all_11_4, all_11_5, all_11_6, all_11_7, all_11_8 gives:
% 16.36/3.19  |   (18)  subpopulations(first_movers, efficient_producers, all_11_8, all_11_7)
% 16.36/3.19  |         = 0 & growth_rate(first_movers, all_11_7) = all_11_5 &
% 16.36/3.19  |         growth_rate(efficient_producers, all_11_7) = all_11_4 &
% 16.36/3.19  |         constant(all_11_6) = 0 & number_of_organizations(all_11_8, all_11_7) =
% 16.36/3.19  |         all_11_6 & environment(all_11_8) = 0 & greater(all_11_4, zero) =
% 16.36/3.19  |         all_11_1 & greater(all_11_5, zero) = all_11_3 & greater(zero,
% 16.36/3.19  |           all_11_4) = all_11_2 & greater(zero, all_11_5) = all_11_0 &
% 16.36/3.19  |         $i(all_11_4) & $i(all_11_5) & $i(all_11_6) & $i(all_11_7) &
% 16.36/3.19  |         $i(all_11_8) & ( ~ (all_11_0 = 0) |  ~ (all_11_1 = 0)) & ( ~ (all_11_2
% 16.36/3.19  |             = 0) |  ~ (all_11_3 = 0)) & ( ~ (all_11_4 = zero) |  ~ (all_11_5 =
% 16.36/3.19  |             zero))
% 16.36/3.19  | 
% 16.36/3.19  | ALPHA: (18) implies:
% 16.36/3.19  |   (19)  $i(all_11_8)
% 16.36/3.19  |   (20)  $i(all_11_7)
% 16.36/3.19  |   (21)  greater(zero, all_11_5) = all_11_0
% 16.36/3.19  |   (22)  greater(zero, all_11_4) = all_11_2
% 16.36/3.19  |   (23)  greater(all_11_5, zero) = all_11_3
% 16.36/3.19  |   (24)  greater(all_11_4, zero) = all_11_1
% 16.36/3.19  |   (25)  environment(all_11_8) = 0
% 16.36/3.19  |   (26)  number_of_organizations(all_11_8, all_11_7) = all_11_6
% 16.36/3.19  |   (27)  constant(all_11_6) = 0
% 16.36/3.19  |   (28)  growth_rate(efficient_producers, all_11_7) = all_11_4
% 16.36/3.19  |   (29)  growth_rate(first_movers, all_11_7) = all_11_5
% 16.36/3.19  |   (30)  subpopulations(first_movers, efficient_producers, all_11_8, all_11_7)
% 16.36/3.19  |         = 0
% 16.36/3.19  |   (31)   ~ (all_11_4 = zero) |  ~ (all_11_5 = zero)
% 16.36/3.19  |   (32)   ~ (all_11_2 = 0) |  ~ (all_11_3 = 0)
% 16.36/3.19  |   (33)   ~ (all_11_0 = 0) |  ~ (all_11_1 = 0)
% 16.36/3.19  | 
% 16.36/3.19  | GROUND_INST: instantiating (4) with all_11_8, all_11_7, simplifying with (19),
% 16.36/3.19  |              (20), (30) gives:
% 16.36/3.19  |   (34)   ? [v0: any] :  ? [v1: $i] :  ? [v2: any] :  ? [v3: $i] :  ? [v4: any]
% 16.36/3.19  |         : (environment(all_11_8) = v0 & greater(v3, zero) = v4 & greater(v1,
% 16.36/3.20  |             zero) = v2 & cardinality_at_time(first_movers, all_11_7) = v1 &
% 16.36/3.20  |           cardinality_at_time(efficient_producers, all_11_7) = v3 & $i(v3) &
% 16.36/3.20  |           $i(v1) & ( ~ (v0 = 0) | (v4 = 0 & v2 = 0)))
% 16.36/3.20  | 
% 16.36/3.20  | GROUND_INST: instantiating (5) with all_11_8, all_11_7, simplifying with (19),
% 16.36/3.20  |              (20), (30) gives:
% 16.65/3.20  |   (35)   ? [v0: any] :  ? [v1: any] : (in_environment(all_11_8, all_11_7) = v1
% 16.65/3.20  |           & environment(all_11_8) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 16.65/3.20  | 
% 16.65/3.20  | DELTA: instantiating (35) with fresh symbols all_18_0, all_18_1 gives:
% 16.65/3.20  |   (36)  in_environment(all_11_8, all_11_7) = all_18_0 & environment(all_11_8)
% 16.65/3.20  |         = all_18_1 & ( ~ (all_18_1 = 0) | all_18_0 = 0)
% 16.65/3.20  | 
% 16.65/3.20  | ALPHA: (36) implies:
% 16.65/3.20  |   (37)  environment(all_11_8) = all_18_1
% 16.65/3.20  |   (38)  in_environment(all_11_8, all_11_7) = all_18_0
% 16.65/3.20  |   (39)   ~ (all_18_1 = 0) | all_18_0 = 0
% 16.65/3.20  | 
% 16.65/3.20  | DELTA: instantiating (34) with fresh symbols all_20_0, all_20_1, all_20_2,
% 16.65/3.20  |        all_20_3, all_20_4 gives:
% 16.65/3.20  |   (40)  environment(all_11_8) = all_20_4 & greater(all_20_1, zero) = all_20_0
% 16.65/3.20  |         & greater(all_20_3, zero) = all_20_2 &
% 16.65/3.20  |         cardinality_at_time(first_movers, all_11_7) = all_20_3 &
% 16.65/3.20  |         cardinality_at_time(efficient_producers, all_11_7) = all_20_1 &
% 16.65/3.20  |         $i(all_20_1) & $i(all_20_3) & ( ~ (all_20_4 = 0) | (all_20_0 = 0 &
% 16.65/3.20  |             all_20_2 = 0))
% 16.65/3.20  | 
% 16.65/3.20  | ALPHA: (40) implies:
% 16.65/3.20  |   (41)  cardinality_at_time(efficient_producers, all_11_7) = all_20_1
% 16.65/3.20  |   (42)  cardinality_at_time(first_movers, all_11_7) = all_20_3
% 16.65/3.20  |   (43)  greater(all_20_3, zero) = all_20_2
% 16.65/3.20  |   (44)  greater(all_20_1, zero) = all_20_0
% 16.65/3.20  |   (45)  environment(all_11_8) = all_20_4
% 16.65/3.20  |   (46)   ~ (all_20_4 = 0) | (all_20_0 = 0 & all_20_2 = 0)
% 16.65/3.20  | 
% 16.65/3.20  | GROUND_INST: instantiating (9) with 0, all_20_4, all_11_8, simplifying with
% 16.65/3.20  |              (25), (45) gives:
% 16.65/3.20  |   (47)  all_20_4 = 0
% 16.65/3.20  | 
% 16.65/3.21  | GROUND_INST: instantiating (9) with all_18_1, all_20_4, all_11_8, simplifying
% 16.65/3.21  |              with (37), (45) gives:
% 16.65/3.21  |   (48)  all_20_4 = all_18_1
% 16.65/3.21  | 
% 16.65/3.21  | COMBINE_EQS: (47), (48) imply:
% 16.65/3.21  |   (49)  all_18_1 = 0
% 16.65/3.21  | 
% 16.65/3.21  | BETA: splitting (39) gives:
% 16.65/3.21  | 
% 16.65/3.21  | Case 1:
% 16.65/3.21  | | 
% 16.65/3.21  | |   (50)   ~ (all_18_1 = 0)
% 16.65/3.21  | | 
% 16.65/3.21  | | REDUCE: (49), (50) imply:
% 16.65/3.21  | |   (51)  $false
% 16.65/3.21  | | 
% 16.65/3.21  | | CLOSE: (51) is inconsistent.
% 16.65/3.21  | | 
% 16.65/3.21  | Case 2:
% 16.65/3.21  | | 
% 16.65/3.21  | |   (52)  all_18_0 = 0
% 16.65/3.21  | | 
% 16.65/3.21  | | REDUCE: (38), (52) imply:
% 16.65/3.21  | |   (53)  in_environment(all_11_8, all_11_7) = 0
% 16.65/3.21  | | 
% 16.65/3.21  | | BETA: splitting (46) gives:
% 16.65/3.21  | | 
% 16.65/3.21  | | Case 1:
% 16.65/3.21  | | | 
% 16.65/3.21  | | |   (54)   ~ (all_20_4 = 0)
% 16.65/3.21  | | | 
% 16.65/3.21  | | | REDUCE: (47), (54) imply:
% 16.65/3.21  | | |   (55)  $false
% 16.65/3.21  | | | 
% 16.65/3.21  | | | CLOSE: (55) is inconsistent.
% 16.65/3.21  | | | 
% 16.65/3.21  | | Case 2:
% 16.65/3.21  | | | 
% 16.65/3.21  | | |   (56)  all_20_0 = 0 & all_20_2 = 0
% 16.65/3.21  | | | 
% 16.65/3.21  | | | ALPHA: (56) implies:
% 16.65/3.21  | | |   (57)  all_20_2 = 0
% 16.65/3.21  | | |   (58)  all_20_0 = 0
% 16.65/3.21  | | | 
% 16.65/3.21  | | | REDUCE: (44), (58) imply:
% 16.65/3.21  | | |   (59)  greater(all_20_1, zero) = 0
% 16.65/3.21  | | | 
% 16.65/3.21  | | | REDUCE: (43), (57) imply:
% 16.65/3.22  | | |   (60)  greater(all_20_3, zero) = 0
% 16.65/3.22  | | | 
% 16.65/3.22  | | | GROUND_INST: instantiating (1) with all_11_8, efficient_producers,
% 16.65/3.22  | | |              all_11_7, all_20_1, all_11_6, simplifying with (6), (19),
% 16.65/3.22  | | |              (20), (26), (41) gives:
% 16.65/3.22  | | |   (61)   ? [v0: any] :  ? [v1: any] :  ? [v2: MultipleValueBool] :  ? [v3:
% 16.65/3.22  | | |           $i] :  ? [v4: $i] :  ? [v5: $i] : (environment(all_11_8) = v0 &
% 16.65/3.22  | | |           subpopulation(efficient_producers, all_11_8, all_11_7) = v1 &
% 16.65/3.22  | | |           greater(all_20_1, zero) = v2 & cardinality_at_time(first_movers,
% 16.65/3.22  | | |             all_11_7) = v3 & cardinality_at_time(efficient_producers,
% 16.65/3.22  | | |             all_11_7) = v4 & sum(v3, v4) = v5 & $i(v5) & $i(v4) & $i(v3) &
% 16.65/3.22  | | |           ( ~ (v1 = 0) |  ~ (v0 = 0) | v5 = all_11_6))
% 16.65/3.22  | | | 
% 16.65/3.22  | | | GROUND_INST: instantiating (1) with all_11_8, first_movers, all_11_7,
% 16.65/3.22  | | |              all_20_3, all_11_6, simplifying with (7), (19), (20), (26),
% 16.65/3.22  | | |              (42) gives:
% 16.65/3.22  | | |   (62)   ? [v0: any] :  ? [v1: any] :  ? [v2: MultipleValueBool] :  ? [v3:
% 16.65/3.22  | | |           $i] :  ? [v4: $i] :  ? [v5: $i] : (environment(all_11_8) = v0 &
% 16.65/3.22  | | |           subpopulation(first_movers, all_11_8, all_11_7) = v1 &
% 16.65/3.22  | | |           greater(all_20_3, zero) = v2 & cardinality_at_time(first_movers,
% 16.65/3.22  | | |             all_11_7) = v3 & cardinality_at_time(efficient_producers,
% 16.65/3.22  | | |             all_11_7) = v4 & sum(v3, v4) = v5 & $i(v5) & $i(v4) & $i(v3) &
% 16.65/3.22  | | |           ( ~ (v1 = 0) |  ~ (v0 = 0) | v5 = all_11_6))
% 16.65/3.22  | | | 
% 16.65/3.22  | | | GROUND_INST: instantiating (3) with first_movers, all_11_8, all_11_7,
% 16.65/3.22  | | |              all_11_5, simplifying with (7), (19), (20), (29), (53) gives:
% 16.65/3.23  | | |   (63)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ? [v4:
% 16.65/3.23  | | |           any] :  ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: any]
% 16.65/3.23  | | |         : (constant(v2) = v4 & decreases(v2) = v7 & increases(v2) = v5 &
% 16.65/3.23  | | |           environment(all_11_8) = v0 & subpopulation(first_movers,
% 16.65/3.23  | | |             all_11_8, all_11_7) = v1 & greater(v2, zero) = v3 &
% 16.65/3.23  | | |           greater(all_11_5, zero) = v6 & greater(zero, all_11_5) = v8 &
% 16.65/3.23  | | |           cardinality_at_time(first_movers, all_11_7) = v2 & $i(v2) & ( ~
% 16.65/3.23  | | |             (v3 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) | (( ~ (v7 = 0) | v8 = 0)
% 16.65/3.23  | | |               & ( ~ (v5 = 0) | v6 = 0) & ( ~ (v4 = 0) | all_11_5 =
% 16.65/3.23  | | |                 zero))))
% 16.65/3.23  | | | 
% 16.65/3.23  | | | GROUND_INST: instantiating (3) with efficient_producers, all_11_8,
% 16.65/3.23  | | |              all_11_7, all_11_4, simplifying with (6), (19), (20), (28),
% 16.65/3.23  | | |              (53) gives:
% 16.65/3.23  | | |   (64)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ? [v4:
% 16.65/3.23  | | |           any] :  ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: any]
% 16.65/3.23  | | |         : (constant(v2) = v4 & decreases(v2) = v7 & increases(v2) = v5 &
% 16.65/3.23  | | |           environment(all_11_8) = v0 & subpopulation(efficient_producers,
% 16.65/3.23  | | |             all_11_8, all_11_7) = v1 & greater(v2, zero) = v3 &
% 16.65/3.23  | | |           greater(all_11_4, zero) = v6 & greater(zero, all_11_4) = v8 &
% 16.65/3.23  | | |           cardinality_at_time(efficient_producers, all_11_7) = v2 & $i(v2)
% 16.65/3.23  | | |           & ( ~ (v3 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) | (( ~ (v7 = 0) | v8
% 16.65/3.23  | | |                 = 0) & ( ~ (v5 = 0) | v6 = 0) & ( ~ (v4 = 0) | all_11_4 =
% 16.65/3.23  | | |                 zero))))
% 16.65/3.23  | | | 
% 16.65/3.23  | | | DELTA: instantiating (62) with fresh symbols all_39_0, all_39_1, all_39_2,
% 16.65/3.23  | | |        all_39_3, all_39_4, all_39_5 gives:
% 16.65/3.23  | | |   (65)  environment(all_11_8) = all_39_5 & subpopulation(first_movers,
% 16.65/3.23  | | |           all_11_8, all_11_7) = all_39_4 & greater(all_20_3, zero) =
% 16.65/3.23  | | |         all_39_3 & cardinality_at_time(first_movers, all_11_7) = all_39_2
% 16.65/3.23  | | |         & cardinality_at_time(efficient_producers, all_11_7) = all_39_1 &
% 16.65/3.23  | | |         sum(all_39_2, all_39_1) = all_39_0 & $i(all_39_0) & $i(all_39_1) &
% 16.65/3.23  | | |         $i(all_39_2) & ( ~ (all_39_4 = 0) |  ~ (all_39_5 = 0) | all_39_0 =
% 16.65/3.23  | | |           all_11_6)
% 16.65/3.23  | | | 
% 16.65/3.23  | | | ALPHA: (65) implies:
% 16.65/3.23  | | |   (66)  $i(all_39_2)
% 16.65/3.24  | | |   (67)  $i(all_39_1)
% 16.65/3.24  | | |   (68)  sum(all_39_2, all_39_1) = all_39_0
% 16.65/3.24  | | |   (69)  cardinality_at_time(efficient_producers, all_11_7) = all_39_1
% 16.65/3.24  | | |   (70)  cardinality_at_time(first_movers, all_11_7) = all_39_2
% 16.65/3.24  | | |   (71)  greater(all_20_3, zero) = all_39_3
% 16.65/3.24  | | |   (72)  subpopulation(first_movers, all_11_8, all_11_7) = all_39_4
% 16.65/3.24  | | |   (73)  environment(all_11_8) = all_39_5
% 16.65/3.24  | | |   (74)   ~ (all_39_4 = 0) |  ~ (all_39_5 = 0) | all_39_0 = all_11_6
% 16.65/3.24  | | | 
% 16.65/3.24  | | | DELTA: instantiating (61) with fresh symbols all_41_0, all_41_1, all_41_2,
% 16.65/3.24  | | |        all_41_3, all_41_4, all_41_5 gives:
% 16.65/3.24  | | |   (75)  environment(all_11_8) = all_41_5 &
% 16.65/3.24  | | |         subpopulation(efficient_producers, all_11_8, all_11_7) = all_41_4
% 16.65/3.24  | | |         & greater(all_20_1, zero) = all_41_3 &
% 16.65/3.24  | | |         cardinality_at_time(first_movers, all_11_7) = all_41_2 &
% 16.65/3.24  | | |         cardinality_at_time(efficient_producers, all_11_7) = all_41_1 &
% 16.65/3.24  | | |         sum(all_41_2, all_41_1) = all_41_0 & $i(all_41_0) & $i(all_41_1) &
% 16.65/3.24  | | |         $i(all_41_2) & ( ~ (all_41_4 = 0) |  ~ (all_41_5 = 0) | all_41_0 =
% 16.65/3.24  | | |           all_11_6)
% 16.65/3.24  | | | 
% 16.65/3.24  | | | ALPHA: (75) implies:
% 16.65/3.24  | | |   (76)  $i(all_41_0)
% 16.65/3.24  | | |   (77)  sum(all_41_2, all_41_1) = all_41_0
% 16.65/3.24  | | |   (78)  cardinality_at_time(efficient_producers, all_11_7) = all_41_1
% 16.65/3.24  | | |   (79)  cardinality_at_time(first_movers, all_11_7) = all_41_2
% 16.65/3.24  | | |   (80)  greater(all_20_1, zero) = all_41_3
% 16.65/3.24  | | |   (81)  subpopulation(efficient_producers, all_11_8, all_11_7) = all_41_4
% 16.65/3.24  | | |   (82)  environment(all_11_8) = all_41_5
% 16.65/3.24  | | | 
% 16.65/3.24  | | | DELTA: instantiating (64) with fresh symbols all_43_0, all_43_1, all_43_2,
% 16.65/3.24  | | |        all_43_3, all_43_4, all_43_5, all_43_6, all_43_7, all_43_8 gives:
% 16.65/3.24  | | |   (83)  constant(all_43_6) = all_43_4 & decreases(all_43_6) = all_43_1 &
% 16.65/3.24  | | |         increases(all_43_6) = all_43_3 & environment(all_11_8) = all_43_8
% 16.65/3.24  | | |         & subpopulation(efficient_producers, all_11_8, all_11_7) =
% 16.65/3.24  | | |         all_43_7 & greater(all_43_6, zero) = all_43_5 & greater(all_11_4,
% 16.65/3.24  | | |           zero) = all_43_2 & greater(zero, all_11_4) = all_43_0 &
% 16.65/3.24  | | |         cardinality_at_time(efficient_producers, all_11_7) = all_43_6 &
% 16.65/3.24  | | |         $i(all_43_6) & ( ~ (all_43_5 = 0) |  ~ (all_43_7 = 0) |  ~
% 16.65/3.24  | | |           (all_43_8 = 0) | (( ~ (all_43_1 = 0) | all_43_0 = 0) & ( ~
% 16.65/3.24  | | |               (all_43_3 = 0) | all_43_2 = 0) & ( ~ (all_43_4 = 0) |
% 16.65/3.24  | | |               all_11_4 = zero)))
% 16.65/3.24  | | | 
% 16.65/3.24  | | | ALPHA: (83) implies:
% 16.65/3.24  | | |   (84)  cardinality_at_time(efficient_producers, all_11_7) = all_43_6
% 16.65/3.24  | | |   (85)  greater(zero, all_11_4) = all_43_0
% 16.65/3.24  | | |   (86)  greater(all_11_4, zero) = all_43_2
% 16.65/3.24  | | |   (87)  greater(all_43_6, zero) = all_43_5
% 16.65/3.24  | | |   (88)  subpopulation(efficient_producers, all_11_8, all_11_7) = all_43_7
% 16.65/3.24  | | |   (89)  environment(all_11_8) = all_43_8
% 16.65/3.24  | | |   (90)  increases(all_43_6) = all_43_3
% 16.65/3.24  | | |   (91)  decreases(all_43_6) = all_43_1
% 16.65/3.24  | | |   (92)  constant(all_43_6) = all_43_4
% 16.65/3.24  | | |   (93)   ~ (all_43_5 = 0) |  ~ (all_43_7 = 0) |  ~ (all_43_8 = 0) | (( ~
% 16.65/3.24  | | |             (all_43_1 = 0) | all_43_0 = 0) & ( ~ (all_43_3 = 0) | all_43_2
% 16.65/3.24  | | |             = 0) & ( ~ (all_43_4 = 0) | all_11_4 = zero))
% 16.65/3.24  | | | 
% 16.65/3.24  | | | DELTA: instantiating (63) with fresh symbols all_45_0, all_45_1, all_45_2,
% 16.65/3.24  | | |        all_45_3, all_45_4, all_45_5, all_45_6, all_45_7, all_45_8 gives:
% 16.65/3.24  | | |   (94)  constant(all_45_6) = all_45_4 & decreases(all_45_6) = all_45_1 &
% 16.65/3.24  | | |         increases(all_45_6) = all_45_3 & environment(all_11_8) = all_45_8
% 16.65/3.24  | | |         & subpopulation(first_movers, all_11_8, all_11_7) = all_45_7 &
% 16.65/3.24  | | |         greater(all_45_6, zero) = all_45_5 & greater(all_11_5, zero) =
% 16.65/3.24  | | |         all_45_2 & greater(zero, all_11_5) = all_45_0 &
% 16.65/3.25  | | |         cardinality_at_time(first_movers, all_11_7) = all_45_6 &
% 16.65/3.25  | | |         $i(all_45_6) & ( ~ (all_45_5 = 0) |  ~ (all_45_7 = 0) |  ~
% 16.65/3.25  | | |           (all_45_8 = 0) | (( ~ (all_45_1 = 0) | all_45_0 = 0) & ( ~
% 16.65/3.25  | | |               (all_45_3 = 0) | all_45_2 = 0) & ( ~ (all_45_4 = 0) |
% 16.65/3.25  | | |               all_11_5 = zero)))
% 16.65/3.25  | | | 
% 16.65/3.25  | | | ALPHA: (94) implies:
% 16.65/3.25  | | |   (95)  cardinality_at_time(first_movers, all_11_7) = all_45_6
% 16.65/3.25  | | |   (96)  greater(zero, all_11_5) = all_45_0
% 16.65/3.25  | | |   (97)  greater(all_11_5, zero) = all_45_2
% 16.65/3.25  | | |   (98)  greater(all_45_6, zero) = all_45_5
% 16.65/3.25  | | |   (99)  subpopulation(first_movers, all_11_8, all_11_7) = all_45_7
% 16.65/3.25  | | |   (100)  environment(all_11_8) = all_45_8
% 16.65/3.25  | | |   (101)  increases(all_45_6) = all_45_3
% 16.65/3.25  | | |   (102)  decreases(all_45_6) = all_45_1
% 16.65/3.25  | | |   (103)  constant(all_45_6) = all_45_4
% 16.65/3.25  | | |   (104)   ~ (all_45_5 = 0) |  ~ (all_45_7 = 0) |  ~ (all_45_8 = 0) | (( ~
% 16.65/3.25  | | |              (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3 = 0) |
% 16.65/3.25  | | |              all_45_2 = 0) & ( ~ (all_45_4 = 0) | all_11_5 = zero))
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (14) with all_20_1, all_41_1, all_11_7,
% 16.65/3.25  | | |              efficient_producers, simplifying with (41), (78) gives:
% 16.65/3.25  | | |   (105)  all_41_1 = all_20_1
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (14) with all_41_1, all_43_6, all_11_7,
% 16.65/3.25  | | |              efficient_producers, simplifying with (78), (84) gives:
% 16.65/3.25  | | |   (106)  all_43_6 = all_41_1
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (14) with all_39_1, all_43_6, all_11_7,
% 16.65/3.25  | | |              efficient_producers, simplifying with (69), (84) gives:
% 16.65/3.25  | | |   (107)  all_43_6 = all_39_1
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (14) with all_20_3, all_41_2, all_11_7,
% 16.65/3.25  | | |              first_movers, simplifying with (42), (79) gives:
% 16.65/3.25  | | |   (108)  all_41_2 = all_20_3
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (14) with all_41_2, all_45_6, all_11_7,
% 16.65/3.25  | | |              first_movers, simplifying with (79), (95) gives:
% 16.65/3.25  | | |   (109)  all_45_6 = all_41_2
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (14) with all_39_2, all_45_6, all_11_7,
% 16.65/3.25  | | |              first_movers, simplifying with (70), (95) gives:
% 16.65/3.25  | | |   (110)  all_45_6 = all_39_2
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (15) with all_11_0, all_45_0, all_11_5, zero,
% 16.65/3.25  | | |              simplifying with (21), (96) gives:
% 16.65/3.25  | | |   (111)  all_45_0 = all_11_0
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (15) with all_11_2, all_43_0, all_11_4, zero,
% 16.65/3.25  | | |              simplifying with (22), (85) gives:
% 16.65/3.25  | | |   (112)  all_43_0 = all_11_2
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (15) with all_11_3, all_45_2, zero, all_11_5,
% 16.65/3.25  | | |              simplifying with (23), (97) gives:
% 16.65/3.25  | | |   (113)  all_45_2 = all_11_3
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (15) with all_11_1, all_43_2, zero, all_11_4,
% 16.65/3.25  | | |              simplifying with (24), (86) gives:
% 16.65/3.25  | | |   (114)  all_43_2 = all_11_1
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (15) with 0, all_39_3, zero, all_20_3,
% 16.65/3.25  | | |              simplifying with (60), (71) gives:
% 16.65/3.25  | | |   (115)  all_39_3 = 0
% 16.65/3.25  | | | 
% 16.65/3.25  | | | GROUND_INST: instantiating (15) with 0, all_41_3, zero, all_20_1,
% 16.65/3.25  | | |              simplifying with (59), (80) gives:
% 16.65/3.25  | | |   (116)  all_41_3 = 0
% 16.65/3.25  | | | 
% 16.93/3.26  | | | GROUND_INST: instantiating (17) with all_41_4, all_43_7, all_11_7,
% 16.93/3.26  | | |              all_11_8, efficient_producers, simplifying with (81), (88)
% 16.93/3.26  | | |              gives:
% 16.93/3.26  | | |   (117)  all_43_7 = all_41_4
% 16.93/3.26  | | | 
% 16.93/3.26  | | | GROUND_INST: instantiating (17) with all_39_4, all_45_7, all_11_7,
% 16.93/3.26  | | |              all_11_8, first_movers, simplifying with (72), (99) gives:
% 16.93/3.26  | | |   (118)  all_45_7 = all_39_4
% 16.93/3.26  | | | 
% 16.93/3.26  | | | GROUND_INST: instantiating (9) with 0, all_43_8, all_11_8, simplifying
% 16.93/3.26  | | |              with (25), (89) gives:
% 16.93/3.26  | | |   (119)  all_43_8 = 0
% 16.93/3.26  | | | 
% 16.93/3.26  | | | GROUND_INST: instantiating (9) with all_41_5, all_43_8, all_11_8,
% 16.93/3.26  | | |              simplifying with (82), (89) gives:
% 16.93/3.26  | | |   (120)  all_43_8 = all_41_5
% 16.93/3.26  | | | 
% 16.93/3.26  | | | GROUND_INST: instantiating (9) with all_41_5, all_45_8, all_11_8,
% 16.93/3.26  | | |              simplifying with (82), (100) gives:
% 16.93/3.26  | | |   (121)  all_45_8 = all_41_5
% 16.93/3.26  | | | 
% 16.93/3.26  | | | GROUND_INST: instantiating (9) with all_39_5, all_45_8, all_11_8,
% 16.93/3.26  | | |              simplifying with (73), (100) gives:
% 16.93/3.26  | | |   (122)  all_45_8 = all_39_5
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (109), (110) imply:
% 16.93/3.26  | | |   (123)  all_41_2 = all_39_2
% 16.93/3.26  | | | 
% 16.93/3.26  | | | SIMP: (123) implies:
% 16.93/3.26  | | |   (124)  all_41_2 = all_39_2
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (121), (122) imply:
% 16.93/3.26  | | |   (125)  all_41_5 = all_39_5
% 16.93/3.26  | | | 
% 16.93/3.26  | | | SIMP: (125) implies:
% 16.93/3.26  | | |   (126)  all_41_5 = all_39_5
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (106), (107) imply:
% 16.93/3.26  | | |   (127)  all_41_1 = all_39_1
% 16.93/3.26  | | | 
% 16.93/3.26  | | | SIMP: (127) implies:
% 16.93/3.26  | | |   (128)  all_41_1 = all_39_1
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (119), (120) imply:
% 16.93/3.26  | | |   (129)  all_41_5 = 0
% 16.93/3.26  | | | 
% 16.93/3.26  | | | SIMP: (129) implies:
% 16.93/3.26  | | |   (130)  all_41_5 = 0
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (105), (128) imply:
% 16.93/3.26  | | |   (131)  all_39_1 = all_20_1
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (108), (124) imply:
% 16.93/3.26  | | |   (132)  all_39_2 = all_20_3
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (126), (130) imply:
% 16.93/3.26  | | |   (133)  all_39_5 = 0
% 16.93/3.26  | | | 
% 16.93/3.26  | | | SIMP: (133) implies:
% 16.93/3.26  | | |   (134)  all_39_5 = 0
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (107), (131) imply:
% 16.93/3.26  | | |   (135)  all_43_6 = all_20_1
% 16.93/3.26  | | | 
% 16.93/3.26  | | | COMBINE_EQS: (122), (134) imply:
% 16.93/3.26  | | |   (136)  all_45_8 = 0
% 16.93/3.26  | | | 
% 16.93/3.27  | | | COMBINE_EQS: (110), (132) imply:
% 16.93/3.27  | | |   (137)  all_45_6 = all_20_3
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (103), (137) imply:
% 16.93/3.27  | | |   (138)  constant(all_20_3) = all_45_4
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (92), (135) imply:
% 16.93/3.27  | | |   (139)  constant(all_20_1) = all_43_4
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (102), (137) imply:
% 16.93/3.27  | | |   (140)  decreases(all_20_3) = all_45_1
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (91), (135) imply:
% 16.93/3.27  | | |   (141)  decreases(all_20_1) = all_43_1
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (101), (137) imply:
% 16.93/3.27  | | |   (142)  increases(all_20_3) = all_45_3
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (90), (135) imply:
% 16.93/3.27  | | |   (143)  increases(all_20_1) = all_43_3
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (98), (137) imply:
% 16.93/3.27  | | |   (144)  greater(all_20_3, zero) = all_45_5
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (87), (135) imply:
% 16.93/3.27  | | |   (145)  greater(all_20_1, zero) = all_43_5
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (77), (105), (108) imply:
% 16.93/3.27  | | |   (146)  sum(all_20_3, all_20_1) = all_41_0
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (68), (131), (132) imply:
% 16.93/3.27  | | |   (147)  sum(all_20_3, all_20_1) = all_39_0
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (67), (131) imply:
% 16.93/3.27  | | |   (148)  $i(all_20_1)
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (66), (132) imply:
% 16.93/3.27  | | |   (149)  $i(all_20_3)
% 16.93/3.27  | | | 
% 16.93/3.27  | | | GROUND_INST: instantiating (13) with all_39_0, all_41_0, all_20_1,
% 16.93/3.27  | | |              all_20_3, simplifying with (146), (147) gives:
% 16.93/3.27  | | |   (150)  all_41_0 = all_39_0
% 16.93/3.27  | | | 
% 16.93/3.27  | | | GROUND_INST: instantiating (15) with 0, all_45_5, zero, all_20_3,
% 16.93/3.27  | | |              simplifying with (60), (144) gives:
% 16.93/3.27  | | |   (151)  all_45_5 = 0
% 16.93/3.27  | | | 
% 16.93/3.27  | | | GROUND_INST: instantiating (15) with 0, all_43_5, zero, all_20_1,
% 16.93/3.27  | | |              simplifying with (59), (145) gives:
% 16.93/3.27  | | |   (152)  all_43_5 = 0
% 16.93/3.27  | | | 
% 16.93/3.27  | | | REDUCE: (76), (150) imply:
% 16.93/3.27  | | |   (153)  $i(all_39_0)
% 16.93/3.27  | | | 
% 16.93/3.27  | | | GROUND_INST: instantiating (2) with all_11_8, all_11_7, all_39_4,
% 16.93/3.27  | | |              simplifying with (19), (20), (72) gives:
% 16.93/3.27  | | |   (154)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 16.93/3.27  | | |          (in_environment(all_11_8, all_11_7) = v1 & environment(all_11_8)
% 16.93/3.27  | | |            = v0 & subpopulation(efficient_producers, all_11_8, all_11_7) =
% 16.93/3.27  | | |            v2 & ( ~ (v1 = 0) |  ~ (v0 = 0) | (v2 = 0 & all_39_4 = 0)))
% 16.93/3.27  | | | 
% 16.93/3.27  | | | DELTA: instantiating (154) with fresh symbols all_60_0, all_60_1, all_60_2
% 16.93/3.27  | | |        gives:
% 16.93/3.28  | | |   (155)  in_environment(all_11_8, all_11_7) = all_60_1 &
% 16.93/3.28  | | |          environment(all_11_8) = all_60_2 &
% 16.93/3.28  | | |          subpopulation(efficient_producers, all_11_8, all_11_7) = all_60_0
% 16.93/3.28  | | |          & ( ~ (all_60_1 = 0) |  ~ (all_60_2 = 0) | (all_60_0 = 0 &
% 16.93/3.28  | | |              all_39_4 = 0))
% 16.93/3.28  | | | 
% 16.93/3.28  | | | ALPHA: (155) implies:
% 16.93/3.28  | | |   (156)  subpopulation(efficient_producers, all_11_8, all_11_7) = all_60_0
% 16.93/3.28  | | |   (157)  environment(all_11_8) = all_60_2
% 16.93/3.28  | | |   (158)  in_environment(all_11_8, all_11_7) = all_60_1
% 16.93/3.28  | | |   (159)   ~ (all_60_1 = 0) |  ~ (all_60_2 = 0) | (all_60_0 = 0 & all_39_4
% 16.93/3.28  | | |            = 0)
% 16.93/3.28  | | | 
% 16.93/3.28  | | | GROUND_INST: instantiating (17) with all_41_4, all_60_0, all_11_7,
% 16.93/3.28  | | |              all_11_8, efficient_producers, simplifying with (81), (156)
% 16.93/3.28  | | |              gives:
% 16.93/3.28  | | |   (160)  all_60_0 = all_41_4
% 16.93/3.28  | | | 
% 16.93/3.28  | | | GROUND_INST: instantiating (9) with 0, all_60_2, all_11_8, simplifying
% 16.93/3.28  | | |              with (25), (157) gives:
% 16.93/3.28  | | |   (161)  all_60_2 = 0
% 16.93/3.28  | | | 
% 16.93/3.28  | | | GROUND_INST: instantiating (16) with 0, all_60_1, all_11_7, all_11_8,
% 16.93/3.28  | | |              simplifying with (53), (158) gives:
% 16.93/3.28  | | |   (162)  all_60_1 = 0
% 16.93/3.28  | | | 
% 16.93/3.28  | | | BETA: splitting (159) gives:
% 16.93/3.28  | | | 
% 16.93/3.28  | | | Case 1:
% 16.93/3.28  | | | | 
% 16.93/3.28  | | | |   (163)   ~ (all_60_1 = 0)
% 16.93/3.28  | | | | 
% 16.93/3.28  | | | | REDUCE: (162), (163) imply:
% 16.93/3.28  | | | |   (164)  $false
% 16.93/3.28  | | | | 
% 16.93/3.28  | | | | CLOSE: (164) is inconsistent.
% 16.93/3.28  | | | | 
% 16.93/3.28  | | | Case 2:
% 16.93/3.28  | | | | 
% 16.93/3.28  | | | |   (165)   ~ (all_60_2 = 0) | (all_60_0 = 0 & all_39_4 = 0)
% 16.93/3.28  | | | | 
% 16.93/3.28  | | | | BETA: splitting (165) gives:
% 16.93/3.28  | | | | 
% 16.93/3.28  | | | | Case 1:
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | |   (166)   ~ (all_60_2 = 0)
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | REDUCE: (161), (166) imply:
% 16.93/3.28  | | | | |   (167)  $false
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | CLOSE: (167) is inconsistent.
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | Case 2:
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | |   (168)  all_60_0 = 0 & all_39_4 = 0
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | ALPHA: (168) implies:
% 16.93/3.28  | | | | |   (169)  all_39_4 = 0
% 16.93/3.28  | | | | |   (170)  all_60_0 = 0
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | COMBINE_EQS: (160), (170) imply:
% 16.93/3.28  | | | | |   (171)  all_41_4 = 0
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | COMBINE_EQS: (117), (171) imply:
% 16.93/3.28  | | | | |   (172)  all_43_7 = 0
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | COMBINE_EQS: (118), (169) imply:
% 16.93/3.28  | | | | |   (173)  all_45_7 = 0
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | BETA: splitting (74) gives:
% 16.93/3.28  | | | | | 
% 16.93/3.28  | | | | | Case 1:
% 16.93/3.28  | | | | | | 
% 16.93/3.28  | | | | | |   (174)   ~ (all_39_4 = 0)
% 16.93/3.28  | | | | | | 
% 16.93/3.28  | | | | | | REDUCE: (169), (174) imply:
% 16.93/3.28  | | | | | |   (175)  $false
% 16.93/3.28  | | | | | | 
% 16.93/3.28  | | | | | | CLOSE: (175) is inconsistent.
% 16.93/3.28  | | | | | | 
% 16.93/3.28  | | | | | Case 2:
% 16.93/3.28  | | | | | | 
% 16.93/3.28  | | | | | |   (176)   ~ (all_39_5 = 0) | all_39_0 = all_11_6
% 16.93/3.28  | | | | | | 
% 16.93/3.28  | | | | | | BETA: splitting (176) gives:
% 16.93/3.28  | | | | | | 
% 16.93/3.28  | | | | | | Case 1:
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | |   (177)   ~ (all_39_5 = 0)
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | | REDUCE: (134), (177) imply:
% 16.93/3.28  | | | | | | |   (178)  $false
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | | CLOSE: (178) is inconsistent.
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | Case 2:
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | |   (179)  all_39_0 = all_11_6
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | | REDUCE: (147), (179) imply:
% 16.93/3.28  | | | | | | |   (180)  sum(all_20_3, all_20_1) = all_11_6
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | | REDUCE: (153), (179) imply:
% 16.93/3.28  | | | | | | |   (181)  $i(all_11_6)
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | | GROUND_INST: instantiating (mp_abc_sum_increase) with all_11_6,
% 16.93/3.28  | | | | | | |              all_20_3, all_20_1, simplifying with (27), (148),
% 16.93/3.28  | | | | | | |              (149), (180), (181) gives:
% 16.93/3.28  | | | | | | |   (182)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any]
% 16.93/3.28  | | | | | | |          :  ? [v4: any] :  ? [v5: any] : (constant(all_20_1) = v1
% 16.93/3.28  | | | | | | |            & constant(all_20_3) = v0 & decreases(all_20_1) = v3 &
% 16.93/3.28  | | | | | | |            decreases(all_20_3) = v4 & increases(all_20_1) = v5 &
% 16.93/3.28  | | | | | | |            increases(all_20_3) = v2 & ((v5 = 0 & v4 = 0) | (v3 = 0
% 16.93/3.28  | | | | | | |                & v2 = 0) | (v1 = 0 & v0 = 0)))
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | | DELTA: instantiating (182) with fresh symbols all_87_0, all_87_1,
% 16.93/3.28  | | | | | | |        all_87_2, all_87_3, all_87_4, all_87_5 gives:
% 16.93/3.28  | | | | | | |   (183)  constant(all_20_1) = all_87_4 & constant(all_20_3) =
% 16.93/3.28  | | | | | | |          all_87_5 & decreases(all_20_1) = all_87_2 &
% 16.93/3.28  | | | | | | |          decreases(all_20_3) = all_87_1 & increases(all_20_1) =
% 16.93/3.28  | | | | | | |          all_87_0 & increases(all_20_3) = all_87_3 & ((all_87_0 =
% 16.93/3.28  | | | | | | |              0 & all_87_1 = 0) | (all_87_2 = 0 & all_87_3 = 0) |
% 16.93/3.28  | | | | | | |            (all_87_4 = 0 & all_87_5 = 0))
% 16.93/3.28  | | | | | | | 
% 16.93/3.28  | | | | | | | ALPHA: (183) implies:
% 16.93/3.28  | | | | | | |   (184)  increases(all_20_3) = all_87_3
% 16.93/3.28  | | | | | | |   (185)  increases(all_20_1) = all_87_0
% 16.93/3.29  | | | | | | |   (186)  decreases(all_20_3) = all_87_1
% 16.93/3.29  | | | | | | |   (187)  decreases(all_20_1) = all_87_2
% 16.93/3.29  | | | | | | |   (188)  constant(all_20_3) = all_87_5
% 16.93/3.29  | | | | | | |   (189)  constant(all_20_1) = all_87_4
% 16.93/3.29  | | | | | | |   (190)  (all_87_0 = 0 & all_87_1 = 0) | (all_87_2 = 0 & all_87_3
% 16.93/3.29  | | | | | | |            = 0) | (all_87_4 = 0 & all_87_5 = 0)
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | GROUND_INST: instantiating (10) with all_45_3, all_87_3, all_20_3,
% 16.93/3.29  | | | | | | |              simplifying with (142), (184) gives:
% 16.93/3.29  | | | | | | |   (191)  all_87_3 = all_45_3
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | GROUND_INST: instantiating (10) with all_43_3, all_87_0, all_20_1,
% 16.93/3.29  | | | | | | |              simplifying with (143), (185) gives:
% 16.93/3.29  | | | | | | |   (192)  all_87_0 = all_43_3
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | GROUND_INST: instantiating (11) with all_45_1, all_87_1, all_20_3,
% 16.93/3.29  | | | | | | |              simplifying with (140), (186) gives:
% 16.93/3.29  | | | | | | |   (193)  all_87_1 = all_45_1
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | GROUND_INST: instantiating (11) with all_43_1, all_87_2, all_20_1,
% 16.93/3.29  | | | | | | |              simplifying with (141), (187) gives:
% 16.93/3.29  | | | | | | |   (194)  all_87_2 = all_43_1
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | GROUND_INST: instantiating (12) with all_45_4, all_87_5, all_20_3,
% 16.93/3.29  | | | | | | |              simplifying with (138), (188) gives:
% 16.93/3.29  | | | | | | |   (195)  all_87_5 = all_45_4
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | GROUND_INST: instantiating (12) with all_43_4, all_87_4, all_20_1,
% 16.93/3.29  | | | | | | |              simplifying with (139), (189) gives:
% 16.93/3.29  | | | | | | |   (196)  all_87_4 = all_43_4
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | BETA: splitting (31) gives:
% 16.93/3.29  | | | | | | | 
% 16.93/3.29  | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | 
% 16.93/3.29  | | | | | | | |   (197)   ~ (all_11_4 = zero)
% 16.93/3.29  | | | | | | | | 
% 16.93/3.29  | | | | | | | | BETA: splitting (93) gives:
% 16.93/3.29  | | | | | | | | 
% 16.93/3.29  | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | 
% 16.93/3.29  | | | | | | | | |   (198)   ~ (all_43_5 = 0)
% 16.93/3.29  | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | REDUCE: (152), (198) imply:
% 16.93/3.29  | | | | | | | | |   (199)  $false
% 16.93/3.29  | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | CLOSE: (199) is inconsistent.
% 16.93/3.29  | | | | | | | | | 
% 16.93/3.29  | | | | | | | | Case 2:
% 16.93/3.29  | | | | | | | | | 
% 16.93/3.29  | | | | | | | | |   (200)   ~ (all_43_7 = 0) |  ~ (all_43_8 = 0) | (( ~
% 16.93/3.29  | | | | | | | | |              (all_43_1 = 0) | all_43_0 = 0) & ( ~ (all_43_3 =
% 16.93/3.29  | | | | | | | | |                0) | all_43_2 = 0) & ( ~ (all_43_4 = 0) |
% 16.93/3.29  | | | | | | | | |              all_11_4 = zero))
% 16.93/3.29  | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | BETA: splitting (200) gives:
% 16.93/3.29  | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | |   (201)   ~ (all_43_7 = 0)
% 16.93/3.29  | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | REDUCE: (172), (201) imply:
% 16.93/3.29  | | | | | | | | | |   (202)  $false
% 16.93/3.29  | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | CLOSE: (202) is inconsistent.
% 16.93/3.29  | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | Case 2:
% 16.93/3.29  | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | |   (203)   ~ (all_43_8 = 0) | (( ~ (all_43_1 = 0) | all_43_0
% 16.93/3.29  | | | | | | | | | |              = 0) & ( ~ (all_43_3 = 0) | all_43_2 = 0) & ( ~
% 16.93/3.29  | | | | | | | | | |              (all_43_4 = 0) | all_11_4 = zero))
% 16.93/3.29  | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | BETA: splitting (203) gives:
% 16.93/3.29  | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | |   (204)   ~ (all_43_8 = 0)
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | REDUCE: (119), (204) imply:
% 16.93/3.29  | | | | | | | | | | |   (205)  $false
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | Case 2:
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | |   (206)  ( ~ (all_43_1 = 0) | all_43_0 = 0) & ( ~ (all_43_3
% 16.93/3.29  | | | | | | | | | | |              = 0) | all_43_2 = 0) & ( ~ (all_43_4 = 0) |
% 16.93/3.29  | | | | | | | | | | |            all_11_4 = zero)
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | ALPHA: (206) implies:
% 16.93/3.29  | | | | | | | | | | |   (207)   ~ (all_43_4 = 0) | all_11_4 = zero
% 16.93/3.29  | | | | | | | | | | |   (208)   ~ (all_43_3 = 0) | all_43_2 = 0
% 16.93/3.29  | | | | | | | | | | |   (209)   ~ (all_43_1 = 0) | all_43_0 = 0
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | BETA: splitting (207) gives:
% 16.93/3.29  | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | |   (210)   ~ (all_43_4 = 0)
% 16.93/3.29  | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | BETA: splitting (32) gives:
% 16.93/3.29  | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | |   (211)   ~ (all_11_2 = 0)
% 16.93/3.29  | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | BETA: splitting (209) gives:
% 16.93/3.29  | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | |   (212)   ~ (all_43_1 = 0)
% 16.93/3.29  | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 16.93/3.29  | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | |   (213)  all_87_0 = 0 & all_87_1 = 0
% 16.93/3.29  | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 16.93/3.29  | | | | | | | | | | | | | | |   (214)  all_87_1 = 0
% 16.93/3.29  | | | | | | | | | | | | | | |   (215)  all_87_0 = 0
% 16.93/3.29  | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | COMBINE_EQS: (192), (215) imply:
% 16.93/3.29  | | | | | | | | | | | | | | |   (216)  all_43_3 = 0
% 16.93/3.29  | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | COMBINE_EQS: (193), (214) imply:
% 16.93/3.29  | | | | | | | | | | | | | | |   (217)  all_45_1 = 0
% 16.93/3.29  | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 16.93/3.29  | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | |   (218)   ~ (all_45_5 = 0)
% 16.93/3.29  | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | REDUCE: (151), (218) imply:
% 16.93/3.29  | | | | | | | | | | | | | | | |   (219)  $false
% 16.93/3.29  | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 16.93/3.29  | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | Case 2:
% 16.93/3.29  | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | |   (220)   ~ (all_45_7 = 0) |  ~ (all_45_8 = 0) | (( ~
% 16.93/3.29  | | | | | | | | | | | | | | | |              (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3
% 16.93/3.29  | | | | | | | | | | | | | | | |                = 0) | all_45_2 = 0) & ( ~ (all_45_4 = 0) |
% 16.93/3.29  | | | | | | | | | | | | | | | |              all_11_5 = zero))
% 16.93/3.29  | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 16.93/3.29  | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.29  | | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | |   (221)   ~ (all_45_7 = 0)
% 16.93/3.29  | | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | | REDUCE: (173), (221) imply:
% 16.93/3.29  | | | | | | | | | | | | | | | | |   (222)  $false
% 16.93/3.29  | | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 16.93/3.29  | | | | | | | | | | | | | | | | | 
% 16.93/3.29  | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.29  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | |   (223)   ~ (all_45_8 = 0) | (( ~ (all_45_1 = 0) | all_45_0
% 16.93/3.30  | | | | | | | | | | | | | | | | |              = 0) & ( ~ (all_45_3 = 0) | all_45_2 = 0) & (
% 16.93/3.30  | | | | | | | | | | | | | | | | |              ~ (all_45_4 = 0) | all_11_5 = zero))
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (111), (114), (136), (208), (216), (217),
% 16.93/3.30  | | | | | | | | | | | | | | | | |            (223) are inconsistent by sub-proof #3.
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | |   (224)  (all_87_2 = 0 & all_87_3 = 0) | (all_87_4 = 0 &
% 16.93/3.30  | | | | | | | | | | | | | | |            all_87_5 = 0)
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | Case 1:
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | |   (225)  all_87_2 = 0 & all_87_3 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 16.93/3.30  | | | | | | | | | | | | | | | |   (226)  all_87_2 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (226) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | |   (227)  all_43_1 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | REDUCE: (212), (227) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | |   (228)  $false
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | CLOSE: (228) is inconsistent.
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | |   (229)  all_87_4 = 0 & all_87_5 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | REF_CLOSE: (196), (210), (229) are inconsistent by sub-proof
% 16.93/3.30  | | | | | | | | | | | | | | | |            #2.
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | |   (230)  all_43_0 = 0
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | REF_CLOSE: (112), (211), (230) are inconsistent by sub-proof
% 16.93/3.30  | | | | | | | | | | | | | |            #1.
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | |   (231)   ~ (all_11_3 = 0)
% 16.93/3.30  | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | BETA: splitting (104) gives:
% 16.93/3.30  | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | Case 1:
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | |   (232)   ~ (all_45_5 = 0)
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | REDUCE: (151), (232) imply:
% 16.93/3.30  | | | | | | | | | | | | | |   (233)  $false
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | CLOSE: (233) is inconsistent.
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | |   (234)   ~ (all_45_7 = 0) |  ~ (all_45_8 = 0) | (( ~
% 16.93/3.30  | | | | | | | | | | | | | |              (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3
% 16.93/3.30  | | | | | | | | | | | | | |                = 0) | all_45_2 = 0) & ( ~ (all_45_4 = 0) |
% 16.93/3.30  | | | | | | | | | | | | | |              all_11_5 = zero))
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 16.93/3.30  | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | Case 1:
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | |   (235)   ~ (all_45_7 = 0)
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | REDUCE: (173), (235) imply:
% 16.93/3.30  | | | | | | | | | | | | | | |   (236)  $false
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | |   (237)   ~ (all_45_8 = 0) | (( ~ (all_45_1 = 0) | all_45_0
% 16.93/3.30  | | | | | | | | | | | | | | |              = 0) & ( ~ (all_45_3 = 0) | all_45_2 = 0) & (
% 16.93/3.30  | | | | | | | | | | | | | | |              ~ (all_45_4 = 0) | all_11_5 = zero))
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 16.93/3.30  | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | Case 1:
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | |   (238)   ~ (all_45_8 = 0)
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | REDUCE: (136), (238) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | |   (239)  $false
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | |   (240)  ( ~ (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3
% 16.93/3.30  | | | | | | | | | | | | | | | |              = 0) | all_45_2 = 0) & ( ~ (all_45_4 = 0) |
% 16.93/3.30  | | | | | | | | | | | | | | | |            all_11_5 = zero)
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 16.93/3.30  | | | | | | | | | | | | | | | |   (241)   ~ (all_45_3 = 0) | all_45_2 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | |   (242)   ~ (all_45_1 = 0) | all_45_0 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | |   (243)   ~ (all_45_3 = 0)
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | |   (244)  all_87_0 = 0 & all_87_1 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 16.93/3.30  | | | | | | | | | | | | | | | | | |   (245)  all_87_1 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | |   (246)  all_87_0 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (192), (246) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | | | |   (247)  all_43_3 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (245) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | | | |   (248)  all_45_1 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (111), (114), (208), (242), (247), (248) are
% 16.93/3.30  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #4.
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | |   (249)  (all_87_2 = 0 & all_87_3 = 0) | (all_87_4 = 0 &
% 16.93/3.30  | | | | | | | | | | | | | | | | | |            all_87_5 = 0)
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | |   (250)  all_87_2 = 0 & all_87_3 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | |   (251)  all_87_3 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (191), (251) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | |   (252)  all_45_3 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | REDUCE: (243), (252) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | |   (253)  $false
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | CLOSE: (253) is inconsistent.
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | |   (254)  all_87_4 = 0 & all_87_5 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (210), (254) are inconsistent by sub-proof
% 16.93/3.30  | | | | | | | | | | | | | | | | | | |            #2.
% 16.93/3.30  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | |   (255)  all_45_2 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (255) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | | |   (256)  all_11_3 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | SIMP: (256) implies:
% 16.93/3.30  | | | | | | | | | | | | | | | | |   (257)  all_11_3 = 0
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | REDUCE: (231), (257) imply:
% 16.93/3.30  | | | | | | | | | | | | | | | | |   (258)  $false
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent.
% 16.93/3.30  | | | | | | | | | | | | | | | | | 
% 16.93/3.30  | | | | | | | | | | | | | | | | End of split
% 16.93/3.30  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | |   (259)  all_11_4 = zero
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | REDUCE: (197), (259) imply:
% 16.93/3.31  | | | | | | | | | | | |   (260)  $false
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | End of split
% 16.93/3.31  | | | | | | | | 
% 16.93/3.31  | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | 
% 16.93/3.31  | | | | | | | |   (261)   ~ (all_11_5 = zero)
% 16.93/3.31  | | | | | | | | 
% 16.93/3.31  | | | | | | | | BETA: splitting (104) gives:
% 16.93/3.31  | | | | | | | | 
% 16.93/3.31  | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | |   (262)   ~ (all_45_5 = 0)
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | REDUCE: (151), (262) imply:
% 16.93/3.31  | | | | | | | | |   (263)  $false
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | CLOSE: (263) is inconsistent.
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | |   (264)   ~ (all_45_7 = 0) |  ~ (all_45_8 = 0) | (( ~
% 16.93/3.31  | | | | | | | | |              (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3 =
% 16.93/3.31  | | | | | | | | |                0) | all_45_2 = 0) & ( ~ (all_45_4 = 0) |
% 16.93/3.31  | | | | | | | | |              all_11_5 = zero))
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | BETA: splitting (264) gives:
% 16.93/3.31  | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | |   (265)   ~ (all_45_7 = 0)
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | REDUCE: (173), (265) imply:
% 16.93/3.31  | | | | | | | | | |   (266)  $false
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | CLOSE: (266) is inconsistent.
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | |   (267)   ~ (all_45_8 = 0) | (( ~ (all_45_1 = 0) | all_45_0
% 16.93/3.31  | | | | | | | | | |              = 0) & ( ~ (all_45_3 = 0) | all_45_2 = 0) & ( ~
% 16.93/3.31  | | | | | | | | | |              (all_45_4 = 0) | all_11_5 = zero))
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | BETA: splitting (267) gives:
% 16.93/3.31  | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | |   (268)   ~ (all_45_8 = 0)
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | REDUCE: (136), (268) imply:
% 16.93/3.31  | | | | | | | | | | |   (269)  $false
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | CLOSE: (269) is inconsistent.
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | |   (270)  ( ~ (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3
% 16.93/3.31  | | | | | | | | | | |              = 0) | all_45_2 = 0) & ( ~ (all_45_4 = 0) |
% 16.93/3.31  | | | | | | | | | | |            all_11_5 = zero)
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | ALPHA: (270) implies:
% 16.93/3.31  | | | | | | | | | | |   (271)   ~ (all_45_4 = 0) | all_11_5 = zero
% 16.93/3.31  | | | | | | | | | | |   (272)   ~ (all_45_3 = 0) | all_45_2 = 0
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | BETA: splitting (271) gives:
% 16.93/3.31  | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | |   (273)   ~ (all_45_4 = 0)
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | BETA: splitting (93) gives:
% 16.93/3.31  | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | |   (274)   ~ (all_43_5 = 0)
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | REDUCE: (152), (274) imply:
% 16.93/3.31  | | | | | | | | | | | | |   (275)  $false
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | |   (276)   ~ (all_43_7 = 0) |  ~ (all_43_8 = 0) | (( ~
% 16.93/3.31  | | | | | | | | | | | | |              (all_43_1 = 0) | all_43_0 = 0) & ( ~ (all_43_3
% 16.93/3.31  | | | | | | | | | | | | |                = 0) | all_43_2 = 0) & ( ~ (all_43_4 = 0) |
% 16.93/3.31  | | | | | | | | | | | | |              all_11_4 = zero))
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | BETA: splitting (276) gives:
% 16.93/3.31  | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | |   (277)   ~ (all_43_7 = 0)
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | REDUCE: (172), (277) imply:
% 16.93/3.31  | | | | | | | | | | | | | |   (278)  $false
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | CLOSE: (278) is inconsistent.
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | |   (279)   ~ (all_43_8 = 0) | (( ~ (all_43_1 = 0) | all_43_0
% 16.93/3.31  | | | | | | | | | | | | | |              = 0) & ( ~ (all_43_3 = 0) | all_43_2 = 0) & (
% 16.93/3.31  | | | | | | | | | | | | | |              ~ (all_43_4 = 0) | all_11_4 = zero))
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 16.93/3.31  | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | |   (280)   ~ (all_43_8 = 0)
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | REDUCE: (119), (280) imply:
% 16.93/3.31  | | | | | | | | | | | | | | |   (281)  $false
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent.
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | |   (282)  ( ~ (all_43_1 = 0) | all_43_0 = 0) & ( ~ (all_43_3
% 16.93/3.31  | | | | | | | | | | | | | | |              = 0) | all_43_2 = 0) & ( ~ (all_43_4 = 0) |
% 16.93/3.31  | | | | | | | | | | | | | | |            all_11_4 = zero)
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 16.93/3.31  | | | | | | | | | | | | | | |   (283)   ~ (all_43_3 = 0) | all_43_2 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 16.93/3.31  | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | |   (284)  all_87_0 = 0 & all_87_1 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 16.93/3.31  | | | | | | | | | | | | | | | |   (285)  all_87_1 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | |   (286)  all_87_0 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | COMBINE_EQS: (192), (286) imply:
% 16.93/3.31  | | | | | | | | | | | | | | | |   (287)  all_43_3 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (285) imply:
% 16.93/3.31  | | | | | | | | | | | | | | | |   (288)  all_45_1 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | REF_CLOSE: (33), (111), (114), (136), (267), (283), (287),
% 16.93/3.31  | | | | | | | | | | | | | | | |            (288) are inconsistent by sub-proof #3.
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | |   (289)  (all_87_2 = 0 & all_87_3 = 0) | (all_87_4 = 0 &
% 16.93/3.31  | | | | | | | | | | | | | | | |            all_87_5 = 0)
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 16.93/3.31  | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | |   (290)  all_87_2 = 0 & all_87_3 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | ALPHA: (290) implies:
% 16.93/3.31  | | | | | | | | | | | | | | | | |   (291)  all_87_3 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | |   (292)  all_87_2 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (292) imply:
% 16.93/3.31  | | | | | | | | | | | | | | | | |   (293)  all_43_1 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | SIMP: (293) implies:
% 16.93/3.31  | | | | | | | | | | | | | | | | |   (294)  all_43_1 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | COMBINE_EQS: (191), (291) imply:
% 16.93/3.31  | | | | | | | | | | | | | | | | |   (295)  all_45_3 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 16.93/3.31  | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | |   (296)   ~ (all_45_3 = 0)
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | REDUCE: (295), (296) imply:
% 16.93/3.31  | | | | | | | | | | | | | | | | | |   (297)  $false
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | CLOSE: (297) is inconsistent.
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | |   (298)  all_45_2 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (298) imply:
% 16.93/3.31  | | | | | | | | | | | | | | | | | |   (299)  all_11_3 = 0
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 16.93/3.31  | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | |   (300)   ~ (all_11_2 = 0)
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | |   (301)   ~ (all_43_7 = 0)
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (301) imply:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | |   (302)  $false
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent.
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | |   (303)   ~ (all_43_8 = 0)
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (303) imply:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | |   (304)  $false
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent.
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | |   (305)   ~ (all_43_1 = 0) | all_43_0 = 0
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | |   (306)   ~ (all_43_1 = 0)
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (294), (306) imply:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | |   (307)  $false
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (307) is inconsistent.
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | |   (308)  all_43_0 = 0
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (300), (308) are inconsistent by sub-proof
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | |            #1.
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | |   (309)   ~ (all_11_3 = 0)
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | REDUCE: (299), (309) imply:
% 16.93/3.32  | | | | | | | | | | | | | | | | | | |   (310)  $false
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | CLOSE: (310) is inconsistent.
% 16.93/3.32  | | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | Case 2:
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | |   (311)  all_87_4 = 0 & all_87_5 = 0
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 16.93/3.32  | | | | | | | | | | | | | | | | |   (312)  all_87_5 = 0
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (312) imply:
% 16.93/3.32  | | | | | | | | | | | | | | | | |   (313)  all_45_4 = 0
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | SIMP: (313) implies:
% 16.93/3.32  | | | | | | | | | | | | | | | | |   (314)  all_45_4 = 0
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | REDUCE: (273), (314) imply:
% 16.93/3.32  | | | | | | | | | | | | | | | | |   (315)  $false
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | | CLOSE: (315) is inconsistent.
% 16.93/3.32  | | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | Case 2:
% 16.93/3.32  | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | |   (316)  all_11_5 = zero
% 16.93/3.32  | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | REDUCE: (261), (316) imply:
% 16.93/3.32  | | | | | | | | | | | |   (317)  $false
% 16.93/3.32  | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 16.93/3.32  | | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | | 
% 16.93/3.32  | | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | | 
% 16.93/3.32  | | | | | | | | End of split
% 16.93/3.32  | | | | | | | | 
% 16.93/3.32  | | | | | | | End of split
% 16.93/3.32  | | | | | | | 
% 16.93/3.32  | | | | | | End of split
% 16.93/3.32  | | | | | | 
% 16.93/3.32  | | | | | End of split
% 16.93/3.32  | | | | | 
% 16.93/3.32  | | | | End of split
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | End of split
% 16.93/3.32  | | | 
% 16.93/3.32  | | End of split
% 16.93/3.32  | | 
% 16.93/3.32  | End of split
% 16.93/3.32  | 
% 16.93/3.32  End of proof
% 16.93/3.32  
% 16.93/3.32  Sub-proof #1 shows that the following formulas are inconsistent:
% 16.93/3.32  ----------------------------------------------------------------
% 16.93/3.32    (1)  all_43_0 = all_11_2
% 16.93/3.32    (2)  all_43_0 = 0
% 16.93/3.32    (3)   ~ (all_11_2 = 0)
% 16.93/3.32  
% 16.93/3.32  Begin of proof
% 16.93/3.32  | 
% 16.93/3.32  | COMBINE_EQS: (1), (2) imply:
% 16.93/3.32  |   (4)  all_11_2 = 0
% 16.93/3.32  | 
% 16.93/3.32  | SIMP: (4) implies:
% 16.93/3.32  |   (5)  all_11_2 = 0
% 16.93/3.32  | 
% 16.93/3.32  | REDUCE: (3), (5) imply:
% 16.93/3.32  |   (6)  $false
% 16.93/3.32  | 
% 16.93/3.32  | CLOSE: (6) is inconsistent.
% 16.93/3.32  | 
% 16.93/3.32  End of proof
% 16.93/3.32  
% 16.93/3.32  Sub-proof #2 shows that the following formulas are inconsistent:
% 16.93/3.32  ----------------------------------------------------------------
% 16.93/3.32    (1)  all_87_4 = 0 & all_87_5 = 0
% 16.93/3.32    (2)  all_87_4 = all_43_4
% 16.93/3.32    (3)   ~ (all_43_4 = 0)
% 16.93/3.32  
% 16.93/3.32  Begin of proof
% 16.93/3.32  | 
% 16.93/3.32  | ALPHA: (1) implies:
% 16.93/3.32  |   (4)  all_87_4 = 0
% 16.93/3.32  | 
% 16.93/3.32  | COMBINE_EQS: (2), (4) imply:
% 16.93/3.32  |   (5)  all_43_4 = 0
% 16.93/3.32  | 
% 16.93/3.32  | REDUCE: (3), (5) imply:
% 16.93/3.32  |   (6)  $false
% 16.93/3.32  | 
% 16.93/3.32  | CLOSE: (6) is inconsistent.
% 16.93/3.32  | 
% 16.93/3.32  End of proof
% 16.93/3.32  
% 16.93/3.32  Sub-proof #3 shows that the following formulas are inconsistent:
% 16.93/3.32  ----------------------------------------------------------------
% 16.93/3.32    (1)   ~ (all_45_8 = 0) | (( ~ (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3 =
% 16.93/3.32               0) | all_45_2 = 0) & ( ~ (all_45_4 = 0) | all_11_5 = zero))
% 16.93/3.32    (2)  all_43_3 = 0
% 16.93/3.32    (3)  all_45_8 = 0
% 16.93/3.32    (4)  all_43_2 = all_11_1
% 16.93/3.32    (5)  all_45_0 = all_11_0
% 16.93/3.32    (6)   ~ (all_43_3 = 0) | all_43_2 = 0
% 16.93/3.32    (7)   ~ (all_11_0 = 0) |  ~ (all_11_1 = 0)
% 16.93/3.32    (8)  all_45_1 = 0
% 16.93/3.32  
% 16.93/3.32  Begin of proof
% 16.93/3.32  | 
% 16.93/3.32  | BETA: splitting (1) gives:
% 16.93/3.32  | 
% 16.93/3.32  | Case 1:
% 16.93/3.32  | | 
% 16.93/3.32  | |   (9)   ~ (all_45_8 = 0)
% 16.93/3.32  | | 
% 16.93/3.32  | | REDUCE: (3), (9) imply:
% 16.93/3.32  | |   (10)  $false
% 16.93/3.32  | | 
% 16.93/3.32  | | CLOSE: (10) is inconsistent.
% 16.93/3.32  | | 
% 16.93/3.32  | Case 2:
% 16.93/3.32  | | 
% 16.93/3.32  | |   (11)  ( ~ (all_45_1 = 0) | all_45_0 = 0) & ( ~ (all_45_3 = 0) | all_45_2 =
% 16.93/3.32  | |           0) & ( ~ (all_45_4 = 0) | all_11_5 = zero)
% 16.93/3.32  | | 
% 16.93/3.32  | | ALPHA: (11) implies:
% 16.93/3.32  | |   (12)   ~ (all_45_1 = 0) | all_45_0 = 0
% 16.93/3.32  | | 
% 16.93/3.32  | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (12) are inconsistent by sub-proof
% 16.93/3.32  | |            #4.
% 16.93/3.32  | | 
% 16.93/3.32  | End of split
% 16.93/3.32  | 
% 16.93/3.32  End of proof
% 16.93/3.32  
% 16.93/3.32  Sub-proof #4 shows that the following formulas are inconsistent:
% 16.93/3.32  ----------------------------------------------------------------
% 16.93/3.32    (1)  all_43_3 = 0
% 16.93/3.32    (2)  all_43_2 = all_11_1
% 16.93/3.32    (3)  all_45_0 = all_11_0
% 16.93/3.32    (4)   ~ (all_45_1 = 0) | all_45_0 = 0
% 16.93/3.32    (5)   ~ (all_43_3 = 0) | all_43_2 = 0
% 16.93/3.32    (6)   ~ (all_11_0 = 0) |  ~ (all_11_1 = 0)
% 16.93/3.32    (7)  all_45_1 = 0
% 16.93/3.32  
% 16.93/3.32  Begin of proof
% 16.93/3.32  | 
% 16.93/3.32  | BETA: splitting (4) gives:
% 16.93/3.32  | 
% 16.93/3.32  | Case 1:
% 16.93/3.32  | | 
% 16.93/3.32  | |   (8)   ~ (all_45_1 = 0)
% 16.93/3.32  | | 
% 16.93/3.32  | | REDUCE: (7), (8) imply:
% 16.93/3.32  | |   (9)  $false
% 16.93/3.32  | | 
% 16.93/3.32  | | CLOSE: (9) is inconsistent.
% 16.93/3.32  | | 
% 16.93/3.32  | Case 2:
% 16.93/3.32  | | 
% 16.93/3.32  | |   (10)  all_45_0 = 0
% 16.93/3.32  | | 
% 16.93/3.32  | | COMBINE_EQS: (3), (10) imply:
% 16.93/3.32  | |   (11)  all_11_0 = 0
% 16.93/3.32  | | 
% 16.93/3.32  | | SIMP: (11) implies:
% 16.93/3.32  | |   (12)  all_11_0 = 0
% 16.93/3.32  | | 
% 16.93/3.32  | | BETA: splitting (6) gives:
% 16.93/3.32  | | 
% 16.93/3.32  | | Case 1:
% 16.93/3.32  | | | 
% 16.93/3.32  | | |   (13)   ~ (all_11_0 = 0)
% 16.93/3.32  | | | 
% 16.93/3.32  | | | REDUCE: (12), (13) imply:
% 16.93/3.32  | | |   (14)  $false
% 16.93/3.32  | | | 
% 16.93/3.32  | | | CLOSE: (14) is inconsistent.
% 16.93/3.32  | | | 
% 16.93/3.32  | | Case 2:
% 16.93/3.32  | | | 
% 16.93/3.32  | | |   (15)   ~ (all_11_1 = 0)
% 16.93/3.32  | | | 
% 16.93/3.32  | | | BETA: splitting (5) gives:
% 16.93/3.32  | | | 
% 16.93/3.32  | | | Case 1:
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | |   (16)   ~ (all_43_3 = 0)
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | | REDUCE: (1), (16) imply:
% 16.93/3.32  | | | |   (17)  $false
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | | CLOSE: (17) is inconsistent.
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | Case 2:
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | |   (18)  all_43_2 = 0
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | | COMBINE_EQS: (2), (18) imply:
% 16.93/3.32  | | | |   (19)  all_11_1 = 0
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | | SIMP: (19) implies:
% 16.93/3.32  | | | |   (20)  all_11_1 = 0
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | | REDUCE: (15), (20) imply:
% 16.93/3.32  | | | |   (21)  $false
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | | CLOSE: (21) is inconsistent.
% 16.93/3.32  | | | | 
% 16.93/3.32  | | | End of split
% 16.93/3.32  | | | 
% 16.93/3.32  | | End of split
% 16.93/3.32  | | 
% 16.93/3.32  | End of split
% 16.93/3.32  | 
% 16.93/3.32  End of proof
% 16.93/3.32  % SZS output end Proof for theBenchmark
% 16.93/3.33  
% 16.93/3.33  2689ms
%------------------------------------------------------------------------------