%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n027.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 : Wed Aug 30 23:22:03 EDT 2023

% Result   : Theorem 14.81s 2.60s
% Output   : Proof 23.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.07  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.07/0.26  % Computer : n027.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue Aug 29 21:37:53 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.10/0.47  ________       _____
% 0.10/0.47  ___  __ \_________(_)________________________________
% 0.10/0.47  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.10/0.47  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.10/0.47  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.10/0.47  
% 0.10/0.47  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.10/0.47  (2023-06-19)
% 0.10/0.47  
% 0.10/0.47  (c) Philipp Rümmer, 2009-2023
% 0.10/0.47  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.10/0.47                Amanda Stjerna.
% 0.10/0.47  Free software under BSD-3-Clause.
% 0.10/0.47  
% 0.10/0.47  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.10/0.47  
% 0.10/0.47  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.10/0.48  Running up to 7 provers in parallel.
% 0.10/0.49  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.10/0.49  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.10/0.49  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.10/0.49  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.10/0.49  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.10/0.49  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.10/0.49  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.54/0.94  Prover 4: Preprocessing ...
% 2.54/0.94  Prover 1: Preprocessing ...
% 2.68/0.98  Prover 2: Preprocessing ...
% 2.68/0.98  Prover 0: Preprocessing ...
% 2.68/0.98  Prover 5: Preprocessing ...
% 2.68/0.98  Prover 3: Preprocessing ...
% 2.68/0.98  Prover 6: Preprocessing ...
% 4.16/1.17  Prover 5: Proving ...
% 4.16/1.17  Prover 2: Proving ...
% 4.16/1.19  Prover 6: Constructing countermodel ...
% 4.16/1.21  Prover 1: Constructing countermodel ...
% 4.16/1.22  Prover 3: Constructing countermodel ...
% 5.39/1.32  Prover 1: gave up
% 5.39/1.33  Prover 6: gave up
% 5.39/1.33  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.39/1.33  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.39/1.34  Prover 3: gave up
% 5.39/1.35  Prover 0: Proving ...
% 5.39/1.36  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 5.39/1.37  Prover 7: Preprocessing ...
% 5.39/1.37  Prover 4: Constructing countermodel ...
% 5.39/1.38  Prover 8: Preprocessing ...
% 5.39/1.39  Prover 9: Preprocessing ...
% 6.12/1.43  Prover 7: Warning: ignoring some quantifiers
% 6.12/1.44  Prover 7: Constructing countermodel ...
% 6.74/1.49  Prover 8: Warning: ignoring some quantifiers
% 6.74/1.50  Prover 8: Constructing countermodel ...
% 6.74/1.55  Prover 8: gave up
% 6.74/1.55  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.74/1.57  Prover 10: Preprocessing ...
% 7.41/1.60  Prover 7: gave up
% 7.57/1.61  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 7.57/1.61  Prover 10: Warning: ignoring some quantifiers
% 7.70/1.62  Prover 9: Constructing countermodel ...
% 7.70/1.63  Prover 10: Constructing countermodel ...
% 7.70/1.64  Prover 11: Preprocessing ...
% 7.70/1.69  Prover 10: gave up
% 7.70/1.70  Prover 12: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 8.44/1.73  Prover 12: Preprocessing ...
% 8.44/1.85  Prover 11: Constructing countermodel ...
% 9.38/1.87  Prover 12: Proving ...
% 14.81/2.60  Prover 0: proved (2108ms)
% 14.81/2.60  
% 14.81/2.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.81/2.60  
% 14.81/2.60  Prover 9: stopped
% 14.81/2.60  Prover 12: stopped
% 14.81/2.60  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.81/2.60  Prover 2: stopped
% 14.81/2.60  Prover 5: stopped
% 14.81/2.60  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 14.81/2.60  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 15.26/2.62  Prover 13: Preprocessing ...
% 15.26/2.62  Prover 19: Preprocessing ...
% 15.26/2.62  Prover 16: Preprocessing ...
% 15.26/2.65  Prover 13: Warning: ignoring some quantifiers
% 15.26/2.65  Prover 16: Warning: ignoring some quantifiers
% 15.65/2.65  Prover 13: Constructing countermodel ...
% 15.65/2.66  Prover 16: Constructing countermodel ...
% 15.65/2.66  Prover 19: Warning: ignoring some quantifiers
% 15.65/2.67  Prover 19: Constructing countermodel ...
% 15.65/2.69  Prover 19: gave up
% 15.65/2.72  Prover 13: gave up
% 16.34/2.75  Prover 16: gave up
% 22.40/3.89  Prover 4: Found proof (size 413)
% 22.40/3.89  Prover 4: proved (3397ms)
% 22.40/3.89  Prover 11: stopped
% 22.40/3.89  
% 22.40/3.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.40/3.89  
% 22.56/3.92  % SZS output start Proof for theBenchmark
% 22.56/3.92  Assumptions after simplification:
% 22.56/3.92  ---------------------------------
% 22.56/3.92  
% 22.56/3.92    (apart1)
% 22.56/3.95     ! [v0: $i] : ( ~ (distinct_points(v0, v0) = 0) |  ~ $i(v0))
% 22.56/3.95  
% 22.56/3.95    (apart4)
% 22.56/3.95     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 22.56/3.95      0 | v3 = 0 |  ~ (distinct_points(v1, v2) = v4) |  ~ (distinct_points(v0, v2)
% 22.56/3.95        = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: int] : ( ~ (v5 = 0) &
% 22.56/3.95        distinct_points(v0, v1) = v5)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 22.56/3.95     ! [v3: int] : (v3 = 0 |  ~ (distinct_points(v1, v2) = v3) |  ~
% 22.56/3.95      (distinct_points(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 22.56/3.95      distinct_points(v0, v2) = 0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 22.56/3.95    [v3: int] : (v3 = 0 |  ~ (distinct_points(v0, v2) = v3) |  ~
% 22.56/3.95      (distinct_points(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 22.56/3.95      distinct_points(v1, v2) = 0)
% 22.56/3.95  
% 22.56/3.95    (ceq2)
% 22.56/3.96     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 22.56/3.96      0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_lines(v1,
% 22.56/3.96          v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: int] : ( ~ (v5 =
% 22.56/3.96          0) & apart_point_and_line(v0, v1) = v5)) &  ! [v0: $i] :  ! [v1: $i] : 
% 22.56/3.96    ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v3) |
% 22.56/3.96       ~ (apart_point_and_line(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 22.56/3.96      distinct_lines(v1, v2) = 0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 22.56/3.96    [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0, v1) = 0) |  ~
% 22.56/3.96      (distinct_lines(v1, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 22.56/3.96      apart_point_and_line(v0, v2) = 0)
% 22.56/3.96  
% 22.56/3.96    (ci1)
% 22.56/3.96     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 22.56/3.96       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 22.56/3.96      (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 22.56/3.96            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 22.56/3.96      (distinct_points(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 22.56/3.96      [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 22.56/3.96        apart_point_and_line(v0, v2) = v3 & $i(v2)))
% 22.56/3.96  
% 22.56/3.96    (ci2)
% 22.56/3.96     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 22.56/3.96       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 22.56/3.96      (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 22.56/3.96            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 22.56/3.96      (distinct_points(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 22.56/3.96      [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 22.56/3.96        apart_point_and_line(v1, v2) = v3 & $i(v2)))
% 22.56/3.96  
% 22.56/3.96    (con)
% 22.56/3.96     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: int] :  ? [v5:
% 22.56/3.96      $i] : ( ~ (v4 = 0) & line_connecting(v1, v0) = v5 & line_connecting(v0, v1)
% 22.56/3.96      = v3 & apart_point_and_line(v2, v5) = 0 & apart_point_and_line(v2, v3) = v4
% 22.56/3.96      & distinct_points(v1, v2) = 0 & distinct_points(v0, v2) = 0 &
% 22.56/3.96      distinct_points(v0, v1) = 0 & $i(v5) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 22.56/3.96  
% 22.56/3.97    (cu1)
% 22.56/3.98     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5:
% 22.56/3.98      int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~
% 22.56/3.98      (apart_point_and_line(v1, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 22.56/3.98      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 22.56/3.98      ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 22.56/3.98          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 22.56/3.98          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 22.56/3.98      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) =
% 22.56/3.98        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ (distinct_lines(v2, v3)
% 22.56/3.98        = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ?
% 22.56/3.98      [v7: any] :  ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 22.56/3.98        apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 22.56/3.98            = 0) | v8 = 0 | v7 = 0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : 
% 22.56/3.98    ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 22.56/3.98      (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 22.56/3.98      |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7:
% 22.56/3.98        any] :  ? [v8: any] :  ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 22.56/3.98        apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 22.56/3.98        distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0 | v8 =
% 22.56/3.98          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 22.56/3.98      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) =
% 22.56/3.98        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 22.56/3.98      $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ? [v9:
% 22.56/3.98        any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 22.56/3.98        v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 22.56/3.98            = 0) |  ~ (v6 = 0) | v9 = 0 | v8 = 0))) &  ! [v0: $i] :  ! [v1: $i] : 
% 22.56/3.98    ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 22.56/3.98      (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 22.56/3.98      |  ~ (distinct_lines(v2, v3) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 22.56/3.98      $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 22.56/3.98      (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 22.56/3.98        distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) &  ! [v0:
% 22.56/3.98      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int]
% 22.56/3.98    : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5) |  ~
% 22.56/3.98      (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 22.56/3.98      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 22.56/3.98      ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 22.56/3.98          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 22.56/3.98          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 22.56/3.98      (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ~ $i(v3)
% 22.56/3.98      |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ? [v6:
% 22.56/3.98        any] :  ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 22.56/3.98        apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 22.56/3.98        apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 22.56/3.98  
% 22.56/3.98    (function-axioms)
% 22.56/3.98     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.56/3.98      (intersection_point(v3, v2) = v1) |  ~ (intersection_point(v3, v2) = v0)) & 
% 22.56/3.98    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.56/3.98      (line_connecting(v3, v2) = v1) |  ~ (line_connecting(v3, v2) = v0)) &  !
% 22.56/3.98    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 22.56/3.98      $i] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~
% 22.56/3.98      (apart_point_and_line(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 22.56/3.98      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.56/3.98      (convergent_lines(v3, v2) = v1) |  ~ (convergent_lines(v3, v2) = v0)) &  !
% 22.56/3.98    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 22.56/3.98      $i] : (v1 = v0 |  ~ (distinct_lines(v3, v2) = v1) |  ~ (distinct_lines(v3,
% 22.56/3.98          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 22.56/3.98    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~
% 22.56/3.98      (distinct_points(v3, v2) = v0))
% 22.56/3.98  
% 22.56/3.98  Further assumptions not needed in the proof:
% 22.56/3.98  --------------------------------------------
% 22.56/3.98  apart2, apart3, apart5, ax6, ceq1, ceq3, ci3, ci4
% 22.56/3.98  
% 22.56/3.98  Those formulas are unsatisfiable:
% 22.56/3.98  ---------------------------------
% 22.56/3.98  
% 22.56/3.98  Begin of proof
% 22.56/3.98  | 
% 22.56/3.98  | ALPHA: (apart4) implies:
% 22.56/3.99  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 22.56/3.99  |          (distinct_points(v1, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | 
% 22.56/3.99  |          ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | distinct_points(v0, v2) = 0)
% 22.56/3.99  | 
% 22.56/3.99  | ALPHA: (ci1) implies:
% 22.56/3.99  |   (2)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 22.56/3.99  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 22.56/3.99  |            line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3 &
% 22.56/3.99  |            $i(v2)))
% 22.56/3.99  |   (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 22.56/3.99  |            = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 22.56/3.99  |          (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 22.56/3.99  |              ~ (v4 = 0) |  ~ (v3 = 0))))
% 22.56/3.99  | 
% 22.56/3.99  | ALPHA: (ci2) implies:
% 22.56/3.99  |   (4)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 22.56/3.99  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 22.56/3.99  |            line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3 &
% 22.56/3.99  |            $i(v2)))
% 22.56/3.99  |   (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 22.56/3.99  |            = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 22.56/3.99  |          (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 22.56/3.99  |              ~ (v4 = 0) |  ~ (v3 = 0))))
% 22.56/3.99  | 
% 22.56/3.99  | ALPHA: (cu1) implies:
% 22.56/3.99  |   (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 22.56/3.99  |          (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 22.56/3.99  |          $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5:
% 22.56/3.99  |            any] :  ? [v6: any] :  ? [v7: any] : (apart_point_and_line(v1, v3)
% 22.56/3.99  |            = v7 & apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0,
% 22.56/3.99  |              v3) = v5 & apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 |
% 22.56/3.99  |              v5 = 0 | v4 = 0)))
% 22.56/3.99  |   (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 22.56/3.99  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5)
% 22.56/3.99  |          |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0,
% 22.56/3.99  |              v1) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 22.56/3.99  |          [v6: any] :  ? [v7: any] :  ? [v8: any] : (apart_point_and_line(v1,
% 22.56/3.99  |              v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2,
% 22.56/3.99  |              v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 22.56/3.99  |   (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 22.56/3.99  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5)
% 22.56/3.99  |          |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 22.56/3.99  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 22.56/3.99  |          [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 22.56/3.99  |            apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 22.56/4.00  |            distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0
% 22.56/4.00  |              | v8 = 0)))
% 22.56/4.00  |   (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 22.56/4.00  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5)
% 22.56/4.00  |          |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 22.56/4.00  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 22.56/4.00  |          [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 22.56/4.00  |            apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 22.56/4.00  |            distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0
% 22.56/4.00  |              | v8 = 0)))
% 22.56/4.00  |   (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :
% 22.56/4.00  |          ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) =
% 22.56/4.00  |             v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~
% 22.56/4.00  |           (distinct_lines(v2, v3) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 22.56/4.00  |           ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 22.56/4.00  |           (apart_point_and_line(v1, v2) = v8 & apart_point_and_line(v0, v2) =
% 22.56/4.00  |             v7 & distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 22.56/4.00  |               0)))
% 22.56/4.00  |   (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :
% 22.56/4.00  |          ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) =
% 22.56/4.00  |             v5) |  ~ (apart_point_and_line(v1, v2) = v4) |  ~
% 22.56/4.00  |           (distinct_points(v0, v1) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 22.56/4.00  |           ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 22.56/4.00  |           (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, v2) =
% 22.56/4.00  |             v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 22.56/4.00  |               0)))
% 22.56/4.00  | 
% 22.56/4.00  | ALPHA: (ceq2) implies:
% 22.56/4.00  |   (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 22.56/4.00  |           (apart_point_and_line(v0, v2) = v3) |  ~ (apart_point_and_line(v0,
% 22.56/4.00  |               v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 22.56/4.00  |           distinct_lines(v1, v2) = 0)
% 22.56/4.00  | 
% 22.56/4.00  | ALPHA: (function-axioms) implies:
% 22.56/4.00  |   (13)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 22.56/4.00  |         :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~
% 22.56/4.00  |           (distinct_points(v3, v2) = v0))
% 22.56/4.00  |   (14)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 22.56/4.00  |         :  ! [v3: $i] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~
% 22.56/4.00  |           (apart_point_and_line(v3, v2) = v0))
% 22.56/4.00  |   (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.56/4.00  |           (line_connecting(v3, v2) = v1) |  ~ (line_connecting(v3, v2) = v0))
% 22.56/4.00  | 
% 22.56/4.00  | DELTA: instantiating (con) with fresh symbols all_17_0, all_17_1, all_17_2,
% 22.56/4.00  |        all_17_3, all_17_4, all_17_5 gives:
% 22.56/4.00  |   (16)   ~ (all_17_1 = 0) & line_connecting(all_17_4, all_17_5) = all_17_0 &
% 22.56/4.00  |         line_connecting(all_17_5, all_17_4) = all_17_2 &
% 22.56/4.00  |         apart_point_and_line(all_17_3, all_17_0) = 0 &
% 22.56/4.00  |         apart_point_and_line(all_17_3, all_17_2) = all_17_1 &
% 22.56/4.00  |         distinct_points(all_17_4, all_17_3) = 0 & distinct_points(all_17_5,
% 22.56/4.00  |           all_17_3) = 0 & distinct_points(all_17_5, all_17_4) = 0 &
% 22.56/4.00  |         $i(all_17_0) & $i(all_17_2) & $i(all_17_3) & $i(all_17_4) &
% 22.56/4.00  |         $i(all_17_5)
% 22.56/4.00  | 
% 22.56/4.00  | ALPHA: (16) implies:
% 22.56/4.00  |   (17)   ~ (all_17_1 = 0)
% 22.56/4.00  |   (18)  $i(all_17_5)
% 22.56/4.00  |   (19)  $i(all_17_4)
% 22.56/4.00  |   (20)  $i(all_17_3)
% 22.56/4.00  |   (21)  $i(all_17_2)
% 22.56/4.00  |   (22)  $i(all_17_0)
% 22.56/4.00  |   (23)  distinct_points(all_17_5, all_17_4) = 0
% 22.56/4.00  |   (24)  distinct_points(all_17_5, all_17_3) = 0
% 22.56/4.00  |   (25)  distinct_points(all_17_4, all_17_3) = 0
% 22.56/4.00  |   (26)  apart_point_and_line(all_17_3, all_17_2) = all_17_1
% 22.56/4.01  |   (27)  apart_point_and_line(all_17_3, all_17_0) = 0
% 22.56/4.01  |   (28)  line_connecting(all_17_5, all_17_4) = all_17_2
% 22.56/4.01  |   (29)  line_connecting(all_17_4, all_17_5) = all_17_0
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (4) with all_17_5, all_17_4, simplifying with (18),
% 22.56/4.01  |              (19), (23) gives:
% 22.56/4.01  |   (30)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_17_5,
% 22.56/4.01  |             all_17_4) = v0 & apart_point_and_line(all_17_4, v0) = v1 & $i(v0))
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (2) with all_17_5, all_17_4, simplifying with (18),
% 22.56/4.01  |              (19), (23) gives:
% 22.56/4.01  |   (31)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_17_5,
% 22.56/4.01  |             all_17_4) = v0 & apart_point_and_line(all_17_5, v0) = v1 & $i(v0))
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (4) with all_17_5, all_17_3, simplifying with (18),
% 22.56/4.01  |              (20), (24) gives:
% 22.56/4.01  |   (32)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_17_5,
% 22.56/4.01  |             all_17_3) = v0 & apart_point_and_line(all_17_3, v0) = v1 & $i(v0))
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (2) with all_17_5, all_17_3, simplifying with (18),
% 22.56/4.01  |              (20), (24) gives:
% 22.56/4.01  |   (33)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_17_5,
% 22.56/4.01  |             all_17_3) = v0 & apart_point_and_line(all_17_5, v0) = v1 & $i(v0))
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (4) with all_17_4, all_17_3, simplifying with (19),
% 22.56/4.01  |              (20), (25) gives:
% 22.56/4.01  |   (34)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_17_4,
% 22.56/4.01  |             all_17_3) = v0 & apart_point_and_line(all_17_3, v0) = v1 & $i(v0))
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (2) with all_17_4, all_17_3, simplifying with (19),
% 22.56/4.01  |              (20), (25) gives:
% 22.56/4.01  |   (35)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_17_4,
% 22.56/4.01  |             all_17_3) = v0 & apart_point_and_line(all_17_4, v0) = v1 & $i(v0))
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (11) with all_17_4, all_17_3, all_17_2, all_17_2,
% 22.56/4.01  |              all_17_1, all_17_1, simplifying with (19), (20), (21), (25), (26)
% 22.56/4.01  |              gives:
% 22.56/4.01  |   (36)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.56/4.01  |         (apart_point_and_line(all_17_4, all_17_2) = v2 &
% 22.56/4.01  |           apart_point_and_line(all_17_4, all_17_2) = v1 &
% 22.56/4.01  |           distinct_lines(all_17_2, all_17_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1
% 22.56/4.01  |             = 0))
% 22.56/4.01  | 
% 22.56/4.01  | GROUND_INST: instantiating (11) with all_17_5, all_17_3, all_17_2, all_17_2,
% 22.56/4.01  |              all_17_1, all_17_1, simplifying with (18), (20), (21), (24), (26)
% 22.56/4.01  |              gives:
% 22.56/4.01  |   (37)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.56/4.01  |         (apart_point_and_line(all_17_5, all_17_2) = v2 &
% 22.56/4.01  |           apart_point_and_line(all_17_5, all_17_2) = v1 &
% 23.04/4.01  |           distinct_lines(all_17_2, all_17_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1
% 23.04/4.01  |             = 0))
% 23.04/4.01  | 
% 23.04/4.01  | GROUND_INST: instantiating (9) with all_17_3, all_17_3, all_17_2, all_17_2,
% 23.04/4.01  |              all_17_1, all_17_1, simplifying with (20), (21), (26) gives:
% 23.04/4.01  |   (38)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 23.04/4.01  |           any] : (apart_point_and_line(all_17_3, all_17_2) = v3 &
% 23.04/4.01  |           apart_point_and_line(all_17_3, all_17_2) = v2 &
% 23.04/4.01  |           distinct_lines(all_17_2, all_17_2) = v1 & distinct_points(all_17_3,
% 23.04/4.01  |             all_17_3) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.01  | 
% 23.04/4.02  | GROUND_INST: instantiating (12) with all_17_3, all_17_0, all_17_2, all_17_1,
% 23.04/4.02  |              simplifying with (20), (21), (22), (26), (27) gives:
% 23.04/4.02  |   (39)  all_17_1 = 0 | distinct_lines(all_17_0, all_17_2) = 0
% 23.04/4.02  | 
% 23.04/4.02  | GROUND_INST: instantiating (5) with all_17_5, all_17_4, all_17_2, simplifying
% 23.04/4.02  |              with (18), (19), (28) gives:
% 23.04/4.02  |   (40)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_4,
% 23.04/4.02  |             all_17_2) = v1 & distinct_points(all_17_5, all_17_4) = v0 & ( ~
% 23.04/4.02  |             (v1 = 0) |  ~ (v0 = 0)))
% 23.04/4.02  | 
% 23.04/4.02  | GROUND_INST: instantiating (3) with all_17_5, all_17_4, all_17_2, simplifying
% 23.04/4.02  |              with (18), (19), (28) gives:
% 23.04/4.02  |   (41)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_5,
% 23.04/4.02  |             all_17_2) = v1 & distinct_points(all_17_5, all_17_4) = v0 & ( ~
% 23.04/4.02  |             (v1 = 0) |  ~ (v0 = 0)))
% 23.04/4.02  | 
% 23.04/4.02  | GROUND_INST: instantiating (5) with all_17_4, all_17_5, all_17_0, simplifying
% 23.04/4.02  |              with (18), (19), (29) gives:
% 23.04/4.02  |   (42)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_5,
% 23.04/4.02  |             all_17_0) = v1 & distinct_points(all_17_4, all_17_5) = v0 & ( ~
% 23.04/4.02  |             (v1 = 0) |  ~ (v0 = 0)))
% 23.04/4.02  | 
% 23.04/4.02  | GROUND_INST: instantiating (3) with all_17_4, all_17_5, all_17_0, simplifying
% 23.04/4.02  |              with (18), (19), (29) gives:
% 23.04/4.02  |   (43)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_17_4,
% 23.04/4.02  |             all_17_0) = v1 & distinct_points(all_17_4, all_17_5) = v0 & ( ~
% 23.04/4.02  |             (v1 = 0) |  ~ (v0 = 0)))
% 23.04/4.02  | 
% 23.04/4.02  | DELTA: instantiating (43) with fresh symbols all_24_0, all_24_1 gives:
% 23.04/4.02  |   (44)  apart_point_and_line(all_17_4, all_17_0) = all_24_0 &
% 23.04/4.02  |         distinct_points(all_17_4, all_17_5) = all_24_1 & ( ~ (all_24_0 = 0) | 
% 23.04/4.02  |           ~ (all_24_1 = 0))
% 23.04/4.02  | 
% 23.04/4.02  | ALPHA: (44) implies:
% 23.04/4.02  |   (45)  distinct_points(all_17_4, all_17_5) = all_24_1
% 23.04/4.02  |   (46)  apart_point_and_line(all_17_4, all_17_0) = all_24_0
% 23.04/4.02  |   (47)   ~ (all_24_0 = 0) |  ~ (all_24_1 = 0)
% 23.04/4.02  | 
% 23.04/4.02  | DELTA: instantiating (41) with fresh symbols all_26_0, all_26_1 gives:
% 23.04/4.02  |   (48)  apart_point_and_line(all_17_5, all_17_2) = all_26_0 &
% 23.04/4.02  |         distinct_points(all_17_5, all_17_4) = all_26_1 & ( ~ (all_26_0 = 0) | 
% 23.04/4.02  |           ~ (all_26_1 = 0))
% 23.04/4.02  | 
% 23.04/4.02  | ALPHA: (48) implies:
% 23.04/4.02  |   (49)  distinct_points(all_17_5, all_17_4) = all_26_1
% 23.04/4.02  |   (50)  apart_point_and_line(all_17_5, all_17_2) = all_26_0
% 23.04/4.02  |   (51)   ~ (all_26_0 = 0) |  ~ (all_26_1 = 0)
% 23.04/4.02  | 
% 23.04/4.02  | DELTA: instantiating (40) with fresh symbols all_28_0, all_28_1 gives:
% 23.04/4.02  |   (52)  apart_point_and_line(all_17_4, all_17_2) = all_28_0 &
% 23.04/4.02  |         distinct_points(all_17_5, all_17_4) = all_28_1 & ( ~ (all_28_0 = 0) | 
% 23.04/4.02  |           ~ (all_28_1 = 0))
% 23.04/4.02  | 
% 23.04/4.02  | ALPHA: (52) implies:
% 23.04/4.02  |   (53)  distinct_points(all_17_5, all_17_4) = all_28_1
% 23.04/4.02  |   (54)  apart_point_and_line(all_17_4, all_17_2) = all_28_0
% 23.04/4.02  | 
% 23.04/4.02  | DELTA: instantiating (42) with fresh symbols all_30_0, all_30_1 gives:
% 23.04/4.02  |   (55)  apart_point_and_line(all_17_5, all_17_0) = all_30_0 &
% 23.04/4.02  |         distinct_points(all_17_4, all_17_5) = all_30_1 & ( ~ (all_30_0 = 0) | 
% 23.04/4.02  |           ~ (all_30_1 = 0))
% 23.04/4.02  | 
% 23.04/4.02  | ALPHA: (55) implies:
% 23.04/4.02  |   (56)  distinct_points(all_17_4, all_17_5) = all_30_1
% 23.04/4.02  |   (57)  apart_point_and_line(all_17_5, all_17_0) = all_30_0
% 23.04/4.02  |   (58)   ~ (all_30_0 = 0) |  ~ (all_30_1 = 0)
% 23.04/4.02  | 
% 23.04/4.02  | DELTA: instantiating (35) with fresh symbols all_32_0, all_32_1 gives:
% 23.04/4.02  |   (59)   ~ (all_32_0 = 0) & line_connecting(all_17_4, all_17_3) = all_32_1 &
% 23.04/4.02  |         apart_point_and_line(all_17_4, all_32_1) = all_32_0 & $i(all_32_1)
% 23.04/4.02  | 
% 23.04/4.02  | ALPHA: (59) implies:
% 23.04/4.02  |   (60)   ~ (all_32_0 = 0)
% 23.04/4.02  |   (61)  apart_point_and_line(all_17_4, all_32_1) = all_32_0
% 23.04/4.02  |   (62)  line_connecting(all_17_4, all_17_3) = all_32_1
% 23.04/4.02  | 
% 23.04/4.02  | DELTA: instantiating (34) with fresh symbols all_34_0, all_34_1 gives:
% 23.04/4.02  |   (63)   ~ (all_34_0 = 0) & line_connecting(all_17_4, all_17_3) = all_34_1 &
% 23.04/4.02  |         apart_point_and_line(all_17_3, all_34_1) = all_34_0 & $i(all_34_1)
% 23.04/4.02  | 
% 23.04/4.02  | ALPHA: (63) implies:
% 23.04/4.02  |   (64)  $i(all_34_1)
% 23.04/4.02  |   (65)  line_connecting(all_17_4, all_17_3) = all_34_1
% 23.04/4.02  | 
% 23.04/4.02  | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1 gives:
% 23.04/4.02  |   (66)   ~ (all_36_0 = 0) & line_connecting(all_17_5, all_17_3) = all_36_1 &
% 23.04/4.02  |         apart_point_and_line(all_17_5, all_36_1) = all_36_0 & $i(all_36_1)
% 23.04/4.02  | 
% 23.04/4.03  | ALPHA: (66) implies:
% 23.04/4.03  |   (67)   ~ (all_36_0 = 0)
% 23.04/4.03  |   (68)  apart_point_and_line(all_17_5, all_36_1) = all_36_0
% 23.04/4.03  |   (69)  line_connecting(all_17_5, all_17_3) = all_36_1
% 23.04/4.03  | 
% 23.04/4.03  | DELTA: instantiating (31) with fresh symbols all_38_0, all_38_1 gives:
% 23.04/4.03  |   (70)   ~ (all_38_0 = 0) & line_connecting(all_17_5, all_17_4) = all_38_1 &
% 23.04/4.03  |         apart_point_and_line(all_17_5, all_38_1) = all_38_0 & $i(all_38_1)
% 23.04/4.03  | 
% 23.04/4.03  | ALPHA: (70) implies:
% 23.04/4.03  |   (71)   ~ (all_38_0 = 0)
% 23.04/4.03  |   (72)  $i(all_38_1)
% 23.04/4.03  |   (73)  apart_point_and_line(all_17_5, all_38_1) = all_38_0
% 23.04/4.03  |   (74)  line_connecting(all_17_5, all_17_4) = all_38_1
% 23.04/4.03  | 
% 23.04/4.03  | DELTA: instantiating (30) with fresh symbols all_40_0, all_40_1 gives:
% 23.04/4.03  |   (75)   ~ (all_40_0 = 0) & line_connecting(all_17_5, all_17_4) = all_40_1 &
% 23.04/4.03  |         apart_point_and_line(all_17_4, all_40_1) = all_40_0 & $i(all_40_1)
% 23.04/4.03  | 
% 23.04/4.03  | ALPHA: (75) implies:
% 23.04/4.03  |   (76)   ~ (all_40_0 = 0)
% 23.04/4.03  |   (77)  apart_point_and_line(all_17_4, all_40_1) = all_40_0
% 23.04/4.03  |   (78)  line_connecting(all_17_5, all_17_4) = all_40_1
% 23.04/4.03  | 
% 23.04/4.03  | DELTA: instantiating (32) with fresh symbols all_42_0, all_42_1 gives:
% 23.04/4.03  |   (79)   ~ (all_42_0 = 0) & line_connecting(all_17_5, all_17_3) = all_42_1 &
% 23.04/4.03  |         apart_point_and_line(all_17_3, all_42_1) = all_42_0 & $i(all_42_1)
% 23.04/4.03  | 
% 23.04/4.03  | ALPHA: (79) implies:
% 23.04/4.03  |   (80)   ~ (all_42_0 = 0)
% 23.04/4.03  |   (81)  $i(all_42_1)
% 23.04/4.03  |   (82)  apart_point_and_line(all_17_3, all_42_1) = all_42_0
% 23.04/4.03  |   (83)  line_connecting(all_17_5, all_17_3) = all_42_1
% 23.04/4.03  | 
% 23.04/4.03  | BETA: splitting (39) gives:
% 23.04/4.03  | 
% 23.04/4.03  | Case 1:
% 23.04/4.03  | | 
% 23.04/4.03  | |   (84)  distinct_lines(all_17_0, all_17_2) = 0
% 23.04/4.03  | | 
% 23.04/4.03  | | BETA: splitting (37) gives:
% 23.04/4.03  | | 
% 23.04/4.03  | | Case 1:
% 23.04/4.03  | | | 
% 23.04/4.03  | | |   (85)  all_17_1 = 0
% 23.04/4.03  | | | 
% 23.04/4.03  | | | REDUCE: (17), (85) imply:
% 23.04/4.03  | | |   (86)  $false
% 23.04/4.03  | | | 
% 23.04/4.03  | | | CLOSE: (86) is inconsistent.
% 23.04/4.03  | | | 
% 23.04/4.03  | | Case 2:
% 23.04/4.03  | | | 
% 23.04/4.03  | | |   (87)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.04/4.03  | | |         (apart_point_and_line(all_17_5, all_17_2) = v2 &
% 23.04/4.03  | | |           apart_point_and_line(all_17_5, all_17_2) = v1 &
% 23.04/4.03  | | |           distinct_lines(all_17_2, all_17_2) = v0 & ( ~ (v0 = 0) | v2 = 0
% 23.04/4.03  | | |             | v1 = 0))
% 23.04/4.03  | | | 
% 23.04/4.03  | | | DELTA: instantiating (87) with fresh symbols all_52_0, all_52_1, all_52_2
% 23.04/4.03  | | |        gives:
% 23.04/4.03  | | |   (88)  apart_point_and_line(all_17_5, all_17_2) = all_52_0 &
% 23.04/4.03  | | |         apart_point_and_line(all_17_5, all_17_2) = all_52_1 &
% 23.04/4.03  | | |         distinct_lines(all_17_2, all_17_2) = all_52_2 & ( ~ (all_52_2 = 0)
% 23.04/4.03  | | |           | all_52_0 = 0 | all_52_1 = 0)
% 23.04/4.03  | | | 
% 23.04/4.03  | | | ALPHA: (88) implies:
% 23.04/4.03  | | |   (89)  apart_point_and_line(all_17_5, all_17_2) = all_52_1
% 23.04/4.03  | | |   (90)  apart_point_and_line(all_17_5, all_17_2) = all_52_0
% 23.04/4.03  | | | 
% 23.04/4.03  | | | BETA: splitting (36) gives:
% 23.04/4.03  | | | 
% 23.04/4.03  | | | Case 1:
% 23.04/4.03  | | | | 
% 23.04/4.03  | | | |   (91)  all_17_1 = 0
% 23.04/4.03  | | | | 
% 23.04/4.03  | | | | REDUCE: (17), (91) imply:
% 23.04/4.03  | | | |   (92)  $false
% 23.04/4.03  | | | | 
% 23.04/4.03  | | | | CLOSE: (92) is inconsistent.
% 23.04/4.03  | | | | 
% 23.04/4.03  | | | Case 2:
% 23.04/4.03  | | | | 
% 23.04/4.03  | | | |   (93)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.04/4.03  | | | |         (apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.03  | | | |           apart_point_and_line(all_17_4, all_17_2) = v1 &
% 23.04/4.03  | | | |           distinct_lines(all_17_2, all_17_2) = v0 & ( ~ (v0 = 0) | v2 =
% 23.04/4.03  | | | |             0 | v1 = 0))
% 23.04/4.03  | | | | 
% 23.04/4.03  | | | | DELTA: instantiating (93) with fresh symbols all_57_0, all_57_1,
% 23.04/4.03  | | | |        all_57_2 gives:
% 23.04/4.03  | | | |   (94)  apart_point_and_line(all_17_4, all_17_2) = all_57_0 &
% 23.04/4.03  | | | |         apart_point_and_line(all_17_4, all_17_2) = all_57_1 &
% 23.04/4.03  | | | |         distinct_lines(all_17_2, all_17_2) = all_57_2 & ( ~ (all_57_2 =
% 23.04/4.03  | | | |             0) | all_57_0 = 0 | all_57_1 = 0)
% 23.04/4.03  | | | | 
% 23.04/4.03  | | | | ALPHA: (94) implies:
% 23.04/4.04  | | | |   (95)  apart_point_and_line(all_17_4, all_17_2) = all_57_1
% 23.04/4.04  | | | |   (96)  apart_point_and_line(all_17_4, all_17_2) = all_57_0
% 23.04/4.04  | | | | 
% 23.04/4.04  | | | | BETA: splitting (38) gives:
% 23.04/4.04  | | | | 
% 23.04/4.04  | | | | Case 1:
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | |   (97)  all_17_1 = 0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | REDUCE: (17), (97) imply:
% 23.04/4.04  | | | | |   (98)  $false
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | CLOSE: (98) is inconsistent.
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | Case 2:
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | |   (99)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 23.04/4.04  | | | | |         (apart_point_and_line(all_17_3, all_17_2) = v3 &
% 23.04/4.04  | | | | |           apart_point_and_line(all_17_3, all_17_2) = v2 &
% 23.04/4.04  | | | | |           distinct_lines(all_17_2, all_17_2) = v1 &
% 23.04/4.04  | | | | |           distinct_points(all_17_3, all_17_3) = v0 & ( ~ (v1 = 0) |  ~
% 23.04/4.04  | | | | |             (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | DELTA: instantiating (99) with fresh symbols all_62_0, all_62_1,
% 23.04/4.04  | | | | |        all_62_2, all_62_3 gives:
% 23.04/4.04  | | | | |   (100)  apart_point_and_line(all_17_3, all_17_2) = all_62_0 &
% 23.04/4.04  | | | | |          apart_point_and_line(all_17_3, all_17_2) = all_62_1 &
% 23.04/4.04  | | | | |          distinct_lines(all_17_2, all_17_2) = all_62_2 &
% 23.04/4.04  | | | | |          distinct_points(all_17_3, all_17_3) = all_62_3 & ( ~
% 23.04/4.04  | | | | |            (all_62_2 = 0) |  ~ (all_62_3 = 0) | all_62_0 = 0 |
% 23.04/4.04  | | | | |            all_62_1 = 0)
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | ALPHA: (100) implies:
% 23.04/4.04  | | | | |   (101)  apart_point_and_line(all_17_3, all_17_2) = all_62_1
% 23.04/4.04  | | | | |   (102)  apart_point_and_line(all_17_3, all_17_2) = all_62_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (13) with 0, all_28_1, all_17_4, all_17_5,
% 23.04/4.04  | | | | |              simplifying with (23), (53) gives:
% 23.04/4.04  | | | | |   (103)  all_28_1 = 0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (13) with all_26_1, all_28_1, all_17_4,
% 23.04/4.04  | | | | |              all_17_5, simplifying with (49), (53) gives:
% 23.04/4.04  | | | | |   (104)  all_28_1 = all_26_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (13) with all_24_1, all_30_1, all_17_5,
% 23.04/4.04  | | | | |              all_17_4, simplifying with (45), (56) gives:
% 23.04/4.04  | | | | |   (105)  all_30_1 = all_24_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (14) with all_52_1, all_52_0, all_17_2,
% 23.04/4.04  | | | | |              all_17_5, simplifying with (89), (90) gives:
% 23.04/4.04  | | | | |   (106)  all_52_0 = all_52_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (14) with all_26_0, all_52_0, all_17_2,
% 23.04/4.04  | | | | |              all_17_5, simplifying with (50), (90) gives:
% 23.04/4.04  | | | | |   (107)  all_52_0 = all_26_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (14) with all_57_1, all_57_0, all_17_2,
% 23.04/4.04  | | | | |              all_17_4, simplifying with (95), (96) gives:
% 23.04/4.04  | | | | |   (108)  all_57_0 = all_57_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (14) with all_28_0, all_57_0, all_17_2,
% 23.04/4.04  | | | | |              all_17_4, simplifying with (54), (96) gives:
% 23.04/4.04  | | | | |   (109)  all_57_0 = all_28_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (14) with all_17_1, all_62_0, all_17_2,
% 23.04/4.04  | | | | |              all_17_3, simplifying with (26), (102) gives:
% 23.04/4.04  | | | | |   (110)  all_62_0 = all_17_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (14) with all_62_1, all_62_0, all_17_2,
% 23.04/4.04  | | | | |              all_17_3, simplifying with (101), (102) gives:
% 23.04/4.04  | | | | |   (111)  all_62_0 = all_62_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (15) with all_17_2, all_40_1, all_17_4,
% 23.04/4.04  | | | | |              all_17_5, simplifying with (28), (78) gives:
% 23.04/4.04  | | | | |   (112)  all_40_1 = all_17_2
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (15) with all_38_1, all_40_1, all_17_4,
% 23.04/4.04  | | | | |              all_17_5, simplifying with (74), (78) gives:
% 23.04/4.04  | | | | |   (113)  all_40_1 = all_38_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (15) with all_36_1, all_42_1, all_17_3,
% 23.04/4.04  | | | | |              all_17_5, simplifying with (69), (83) gives:
% 23.04/4.04  | | | | |   (114)  all_42_1 = all_36_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | GROUND_INST: instantiating (15) with all_32_1, all_34_1, all_17_3,
% 23.04/4.04  | | | | |              all_17_4, simplifying with (62), (65) gives:
% 23.04/4.04  | | | | |   (115)  all_34_1 = all_32_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | COMBINE_EQS: (110), (111) imply:
% 23.04/4.04  | | | | |   (116)  all_62_1 = all_17_1
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | COMBINE_EQS: (108), (109) imply:
% 23.04/4.04  | | | | |   (117)  all_57_1 = all_28_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | COMBINE_EQS: (106), (107) imply:
% 23.04/4.04  | | | | |   (118)  all_52_1 = all_26_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | COMBINE_EQS: (112), (113) imply:
% 23.04/4.04  | | | | |   (119)  all_38_1 = all_17_2
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | SIMP: (119) implies:
% 23.04/4.04  | | | | |   (120)  all_38_1 = all_17_2
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | COMBINE_EQS: (103), (104) imply:
% 23.04/4.04  | | | | |   (121)  all_26_1 = 0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | REDUCE: (82), (114) imply:
% 23.04/4.04  | | | | |   (122)  apart_point_and_line(all_17_3, all_36_1) = all_42_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | REDUCE: (77), (112) imply:
% 23.04/4.04  | | | | |   (123)  apart_point_and_line(all_17_4, all_17_2) = all_40_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | REDUCE: (73), (120) imply:
% 23.04/4.04  | | | | |   (124)  apart_point_and_line(all_17_5, all_17_2) = all_38_0
% 23.04/4.04  | | | | | 
% 23.04/4.04  | | | | | REDUCE: (81), (114) imply:
% 23.04/4.05  | | | | |   (125)  $i(all_36_1)
% 23.04/4.05  | | | | | 
% 23.04/4.05  | | | | | REDUCE: (64), (115) imply:
% 23.04/4.05  | | | | |   (126)  $i(all_32_1)
% 23.04/4.05  | | | | | 
% 23.04/4.05  | | | | | BETA: splitting (51) gives:
% 23.04/4.05  | | | | | 
% 23.04/4.05  | | | | | Case 1:
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (14) with all_26_0, all_38_0, all_17_2,
% 23.04/4.05  | | | | | |              all_17_5, simplifying with (50), (124) gives:
% 23.04/4.05  | | | | | |   (127)  all_38_0 = all_26_0
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (14) with all_28_0, all_40_0, all_17_2,
% 23.04/4.05  | | | | | |              all_17_4, simplifying with (54), (123) gives:
% 23.04/4.05  | | | | | |   (128)  all_40_0 = all_28_0
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | REDUCE: (76), (128) imply:
% 23.04/4.05  | | | | | |   (129)   ~ (all_28_0 = 0)
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | REDUCE: (71), (127) imply:
% 23.04/4.05  | | | | | |   (130)   ~ (all_26_0 = 0)
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (1) with all_17_5, all_17_4, all_17_5,
% 23.04/4.05  | | | | | |              all_24_1, simplifying with (18), (19), (23), (45)
% 23.04/4.05  | | | | | |              gives:
% 23.04/4.05  | | | | | |   (131)  all_24_1 = 0 | distinct_points(all_17_5, all_17_5) = 0
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (6) with all_17_5, all_17_4, all_17_0,
% 23.04/4.05  | | | | | |              all_17_2, simplifying with (18), (19), (21), (22),
% 23.04/4.05  | | | | | |              (23), (84) gives:
% 23.04/4.05  | | | | | |   (132)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 23.04/4.05  | | | | | |          (apart_point_and_line(all_17_4, all_17_0) = v2 &
% 23.04/4.05  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.05  | | | | | |            apart_point_and_line(all_17_5, all_17_0) = v0 &
% 23.04/4.05  | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v1 & (v3 = 0 |
% 23.04/4.05  | | | | | |              v2 = 0 | v1 = 0 | v0 = 0))
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (7) with all_17_5, all_17_4, all_17_2,
% 23.04/4.05  | | | | | |              all_36_1, all_26_0, all_36_0, simplifying with (18),
% 23.04/4.05  | | | | | |              (19), (21), (23), (50), (68), (125) gives:
% 23.04/4.05  | | | | | |   (133)  all_36_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.05  | | | | | |           ? [v2: any] : (apart_point_and_line(all_17_4, all_36_1) =
% 23.04/4.05  | | | | | |            v2 & apart_point_and_line(all_17_4, all_17_2) = v1 &
% 23.04/4.05  | | | | | |            distinct_lines(all_17_2, all_36_1) = v0 & ( ~ (v0 = 0) |
% 23.04/4.05  | | | | | |              v2 = 0 | v1 = 0))
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (9) with all_17_5, all_17_5, all_17_2,
% 23.04/4.05  | | | | | |              all_36_1, all_26_0, all_36_0, simplifying with (18),
% 23.04/4.05  | | | | | |              (21), (50), (68), (125) gives:
% 23.04/4.05  | | | | | |   (134)  all_36_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.05  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.05  | | | | | |          (apart_point_and_line(all_17_5, all_36_1) = v2 &
% 23.04/4.05  | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.05  | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.05  | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~ (v1 = 0) |
% 23.04/4.05  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (8) with all_17_5, all_17_5, all_36_1,
% 23.04/4.05  | | | | | |              all_17_2, all_26_0, all_36_0, simplifying with (18),
% 23.04/4.05  | | | | | |              (21), (50), (68), (125) gives:
% 23.04/4.05  | | | | | |   (135)  all_36_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.05  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.05  | | | | | |          (apart_point_and_line(all_17_5, all_36_1) = v2 &
% 23.04/4.05  | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.05  | | | | | |            distinct_lines(all_36_1, all_17_2) = v1 &
% 23.04/4.05  | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~ (v1 = 0) |
% 23.04/4.05  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (8) with all_17_5, all_17_5, all_17_2,
% 23.04/4.05  | | | | | |              all_36_1, all_36_0, all_26_0, simplifying with (18),
% 23.04/4.05  | | | | | |              (21), (50), (68), (125) gives:
% 23.04/4.05  | | | | | |   (136)  all_36_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.05  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.05  | | | | | |          (apart_point_and_line(all_17_5, all_36_1) = v3 &
% 23.04/4.05  | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v2 &
% 23.04/4.05  | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.05  | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~ (v1 = 0) |
% 23.04/4.05  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.05  | | | | | | 
% 23.04/4.05  | | | | | | GROUND_INST: instantiating (10) with all_17_3, all_17_4, all_17_0,
% 23.04/4.05  | | | | | |              all_17_2, all_17_1, all_28_0, simplifying with (19),
% 23.04/4.05  | | | | | |              (20), (21), (22), (26), (54), (84) gives:
% 23.04/4.06  | | | | | |   (137)  all_28_0 = 0 | all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] : (apart_point_and_line(all_17_3, all_17_0) =
% 23.04/4.06  | | | | | |            v1 & apart_point_and_line(all_17_4, all_17_0) = v2 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~ (v0 = 0) |
% 23.04/4.06  | | | | | |              v2 = 0 | v1 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (9) with all_17_3, all_17_4, all_17_2,
% 23.04/4.06  | | | | | |              all_17_2, all_17_1, all_28_0, simplifying with (19),
% 23.04/4.06  | | | | | |              (20), (21), (26), (54) gives:
% 23.04/4.06  | | | | | |   (138)  all_28_0 = 0 | all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_3, all_17_2) = v2 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.06  | | | | | |            distinct_lines(all_17_2, all_17_2) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (10) with all_17_4, all_17_4, all_17_0,
% 23.04/4.06  | | | | | |              all_17_2, all_28_0, all_28_0, simplifying with (19),
% 23.04/4.06  | | | | | |              (21), (22), (54), (84) gives:
% 23.04/4.06  | | | | | |   (139)  all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_4, all_17_0) = v2 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_4, all_17_0) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~ (v0 = 0) |
% 23.04/4.06  | | | | | |              v2 = 0 | v1 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (9) with all_17_4, all_17_4, all_17_2,
% 23.04/4.06  | | | | | |              all_17_2, all_28_0, all_28_0, simplifying with (19),
% 23.04/4.06  | | | | | |              (21), (54) gives:
% 23.04/4.06  | | | | | |   (140)  all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.04/4.06  | | | | | |           ? [v3: any] : (apart_point_and_line(all_17_4, all_17_2) =
% 23.04/4.06  | | | | | |            v3 & apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.06  | | | | | |            distinct_lines(all_17_2, all_17_2) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (9) with all_17_4, all_17_5, all_17_2,
% 23.04/4.06  | | | | | |              all_36_1, all_28_0, all_36_0, simplifying with (18),
% 23.04/4.06  | | | | | |              (19), (21), (54), (68), (125) gives:
% 23.04/4.06  | | | | | |   (141)  all_36_0 = 0 | all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_4, all_36_1) = v2 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.06  | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_4, all_17_5) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (8) with all_17_5, all_17_4, all_17_2,
% 23.04/4.06  | | | | | |              all_36_1, all_36_0, all_28_0, simplifying with (18),
% 23.04/4.06  | | | | | |              (19), (21), (54), (68), (125) gives:
% 23.04/4.06  | | | | | |   (142)  all_36_0 = 0 | all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_4, all_36_1) = v3 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v2 &
% 23.04/4.06  | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_5, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (9) with all_17_3, all_17_4, all_17_2,
% 23.04/4.06  | | | | | |              all_32_1, all_17_1, all_32_0, simplifying with (19),
% 23.04/4.06  | | | | | |              (20), (21), (26), (61), (126) gives:
% 23.04/4.06  | | | | | |   (143)  all_32_0 = 0 | all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v2 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.06  | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (9) with all_17_4, all_17_3, all_32_1,
% 23.04/4.06  | | | | | |              all_17_2, all_32_0, all_17_1, simplifying with (19),
% 23.04/4.06  | | | | | |              (20), (21), (26), (61), (126) gives:
% 23.04/4.06  | | | | | |   (144)  all_32_0 = 0 | all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v3 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.06  | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_4, all_17_3) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (8) with all_17_3, all_17_4, all_32_1,
% 23.04/4.06  | | | | | |              all_17_2, all_17_1, all_32_0, simplifying with (19),
% 23.04/4.06  | | | | | |              (20), (21), (26), (61), (126) gives:
% 23.04/4.06  | | | | | |   (145)  all_32_0 = 0 | all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v2 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.06  | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (8) with all_17_4, all_17_3, all_17_2,
% 23.04/4.06  | | | | | |              all_32_1, all_32_0, all_17_1, simplifying with (19),
% 23.04/4.06  | | | | | |              (20), (21), (26), (61), (126) gives:
% 23.04/4.06  | | | | | |   (146)  all_32_0 = 0 | all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v3 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.06  | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_4, all_17_3) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (9) with all_17_4, all_17_4, all_32_1,
% 23.04/4.06  | | | | | |              all_17_2, all_32_0, all_28_0, simplifying with (19),
% 23.04/4.06  | | | | | |              (21), (54), (61), (126) gives:
% 23.04/4.06  | | | | | |   (147)  all_32_0 = 0 | all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.06  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.06  | | | | | |          (apart_point_and_line(all_17_4, all_32_1) = v3 &
% 23.04/4.06  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.06  | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.06  | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.06  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.06  | | | | | | 
% 23.04/4.06  | | | | | | GROUND_INST: instantiating (8) with all_17_4, all_17_4, all_32_1,
% 23.04/4.06  | | | | | |              all_17_2, all_28_0, all_32_0, simplifying with (19),
% 23.04/4.06  | | | | | |              (21), (54), (61), (126) gives:
% 23.04/4.07  | | | | | |   (148)  all_32_0 = 0 | all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.07  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.07  | | | | | |          (apart_point_and_line(all_17_4, all_32_1) = v2 &
% 23.04/4.07  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.07  | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.07  | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.07  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | GROUND_INST: instantiating (8) with all_17_4, all_17_4, all_17_2,
% 23.04/4.07  | | | | | |              all_32_1, all_32_0, all_28_0, simplifying with (19),
% 23.04/4.07  | | | | | |              (21), (54), (61), (126) gives:
% 23.04/4.07  | | | | | |   (149)  all_32_0 = 0 | all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.07  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.07  | | | | | |          (apart_point_and_line(all_17_4, all_32_1) = v3 &
% 23.04/4.07  | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.07  | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.04/4.07  | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.07  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | GROUND_INST: instantiating (9) with all_17_4, all_17_5, all_32_1,
% 23.04/4.07  | | | | | |              all_17_2, all_32_0, all_26_0, simplifying with (18),
% 23.04/4.07  | | | | | |              (19), (21), (50), (61), (126) gives:
% 23.04/4.07  | | | | | |   (150)  all_32_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.07  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.07  | | | | | |          (apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.07  | | | | | |            apart_point_and_line(all_17_5, all_32_1) = v3 &
% 23.04/4.07  | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.07  | | | | | |            distinct_points(all_17_4, all_17_5) = v0 & ( ~ (v1 = 0) |
% 23.04/4.07  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | GROUND_INST: instantiating (8) with all_17_5, all_17_4, all_32_1,
% 23.04/4.07  | | | | | |              all_17_2, all_26_0, all_32_0, simplifying with (18),
% 23.04/4.07  | | | | | |              (19), (21), (50), (61), (126) gives:
% 23.04/4.07  | | | | | |   (151)  all_32_0 = 0 | all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.07  | | | | | |           ? [v2: any] :  ? [v3: any] :
% 23.04/4.07  | | | | | |          (apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.07  | | | | | |            apart_point_and_line(all_17_5, all_32_1) = v2 &
% 23.04/4.07  | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.07  | | | | | |            distinct_points(all_17_5, all_17_4) = v0 & ( ~ (v1 = 0) |
% 23.04/4.07  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | GROUND_INST: instantiating (11) with all_17_5, all_17_3, all_17_2,
% 23.04/4.07  | | | | | |              all_36_1, all_17_1, all_42_0, simplifying with (18),
% 23.04/4.07  | | | | | |              (20), (21), (24), (26), (122), (125) gives:
% 23.04/4.07  | | | | | |   (152)  all_42_0 = 0 | all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :
% 23.04/4.07  | | | | | |           ? [v2: any] : (apart_point_and_line(all_17_5, all_36_1) =
% 23.04/4.07  | | | | | |            v2 & apart_point_and_line(all_17_5, all_17_2) = v1 &
% 23.04/4.07  | | | | | |            distinct_lines(all_17_2, all_36_1) = v0 & ( ~ (v0 = 0) |
% 23.04/4.07  | | | | | |              v2 = 0 | v1 = 0))
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | DELTA: instantiating (132) with fresh symbols all_89_0, all_89_1,
% 23.04/4.07  | | | | | |        all_89_2, all_89_3 gives:
% 23.04/4.07  | | | | | |   (153)  apart_point_and_line(all_17_4, all_17_0) = all_89_1 &
% 23.04/4.07  | | | | | |          apart_point_and_line(all_17_4, all_17_2) = all_89_0 &
% 23.04/4.07  | | | | | |          apart_point_and_line(all_17_5, all_17_0) = all_89_3 &
% 23.04/4.07  | | | | | |          apart_point_and_line(all_17_5, all_17_2) = all_89_2 &
% 23.04/4.07  | | | | | |          (all_89_0 = 0 | all_89_1 = 0 | all_89_2 = 0 | all_89_3 = 0)
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | ALPHA: (153) implies:
% 23.04/4.07  | | | | | |   (154)  apart_point_and_line(all_17_5, all_17_2) = all_89_2
% 23.04/4.07  | | | | | |   (155)  apart_point_and_line(all_17_5, all_17_0) = all_89_3
% 23.04/4.07  | | | | | |   (156)  apart_point_and_line(all_17_4, all_17_2) = all_89_0
% 23.04/4.07  | | | | | |   (157)  apart_point_and_line(all_17_4, all_17_0) = all_89_1
% 23.04/4.07  | | | | | |   (158)  all_89_0 = 0 | all_89_1 = 0 | all_89_2 = 0 | all_89_3 = 0
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | BETA: splitting (140) gives:
% 23.04/4.07  | | | | | | 
% 23.04/4.07  | | | | | | Case 1:
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | |   (159)  all_28_0 = 0
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | | REDUCE: (129), (159) imply:
% 23.04/4.07  | | | | | | |   (160)  $false
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | | CLOSE: (160) is inconsistent.
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | Case 2:
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | |   (161)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any]
% 23.04/4.07  | | | | | | |          : (apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.07  | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.07  | | | | | | |            distinct_lines(all_17_2, all_17_2) = v1 &
% 23.04/4.07  | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~ (v1 = 0)
% 23.04/4.07  | | | | | | |              |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | | DELTA: instantiating (161) with fresh symbols all_102_0,
% 23.04/4.07  | | | | | | |        all_102_1, all_102_2, all_102_3 gives:
% 23.04/4.07  | | | | | | |   (162)  apart_point_and_line(all_17_4, all_17_2) = all_102_0 &
% 23.04/4.07  | | | | | | |          apart_point_and_line(all_17_4, all_17_2) = all_102_1 &
% 23.04/4.07  | | | | | | |          distinct_lines(all_17_2, all_17_2) = all_102_2 &
% 23.04/4.07  | | | | | | |          distinct_points(all_17_4, all_17_4) = all_102_3 & ( ~
% 23.04/4.07  | | | | | | |            (all_102_2 = 0) |  ~ (all_102_3 = 0) | all_102_0 = 0 |
% 23.04/4.07  | | | | | | |            all_102_1 = 0)
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | | ALPHA: (162) implies:
% 23.04/4.07  | | | | | | |   (163)  apart_point_and_line(all_17_4, all_17_2) = all_102_1
% 23.04/4.07  | | | | | | |   (164)  apart_point_and_line(all_17_4, all_17_2) = all_102_0
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | | BETA: splitting (139) gives:
% 23.04/4.07  | | | | | | | 
% 23.04/4.07  | | | | | | | Case 1:
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | |   (165)  all_28_0 = 0
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | | REDUCE: (129), (165) imply:
% 23.04/4.07  | | | | | | | |   (166)  $false
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | | CLOSE: (166) is inconsistent.
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | Case 2:
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | |   (167)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.04/4.07  | | | | | | | |          (apart_point_and_line(all_17_4, all_17_0) = v2 &
% 23.04/4.07  | | | | | | | |            apart_point_and_line(all_17_4, all_17_0) = v1 &
% 23.04/4.07  | | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~ (v0 =
% 23.04/4.07  | | | | | | | |                0) | v2 = 0 | v1 = 0))
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | | DELTA: instantiating (167) with fresh symbols all_107_0,
% 23.04/4.07  | | | | | | | |        all_107_1, all_107_2 gives:
% 23.04/4.07  | | | | | | | |   (168)  apart_point_and_line(all_17_4, all_17_0) = all_107_0 &
% 23.04/4.07  | | | | | | | |          apart_point_and_line(all_17_4, all_17_0) = all_107_1 &
% 23.04/4.07  | | | | | | | |          distinct_points(all_17_4, all_17_4) = all_107_2 & ( ~
% 23.04/4.07  | | | | | | | |            (all_107_2 = 0) | all_107_0 = 0 | all_107_1 = 0)
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | | ALPHA: (168) implies:
% 23.04/4.07  | | | | | | | |   (169)  apart_point_and_line(all_17_4, all_17_0) = all_107_1
% 23.04/4.07  | | | | | | | |   (170)  apart_point_and_line(all_17_4, all_17_0) = all_107_0
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | | BETA: splitting (138) gives:
% 23.04/4.07  | | | | | | | | 
% 23.04/4.07  | | | | | | | | Case 1:
% 23.04/4.07  | | | | | | | | | 
% 23.04/4.07  | | | | | | | | |   (171)  all_28_0 = 0
% 23.04/4.07  | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | REDUCE: (129), (171) imply:
% 23.04/4.07  | | | | | | | | |   (172)  $false
% 23.04/4.07  | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | CLOSE: (172) is inconsistent.
% 23.04/4.07  | | | | | | | | | 
% 23.04/4.07  | | | | | | | | Case 2:
% 23.04/4.07  | | | | | | | | | 
% 23.04/4.07  | | | | | | | | |   (173)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 23.04/4.07  | | | | | | | | |            any] :  ? [v3: any] :
% 23.04/4.07  | | | | | | | | |          (apart_point_and_line(all_17_3, all_17_2) = v2 &
% 23.04/4.07  | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.07  | | | | | | | | |            distinct_lines(all_17_2, all_17_2) = v1 &
% 23.04/4.07  | | | | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~ (v1
% 23.04/4.07  | | | | | | | | |                = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.07  | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | BETA: splitting (137) gives:
% 23.04/4.07  | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | Case 1:
% 23.04/4.07  | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | |   (174)  all_28_0 = 0
% 23.04/4.07  | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | REDUCE: (129), (174) imply:
% 23.04/4.07  | | | | | | | | | |   (175)  $false
% 23.04/4.07  | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | CLOSE: (175) is inconsistent.
% 23.04/4.07  | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | Case 2:
% 23.04/4.07  | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | |   (176)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.07  | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_17_3,
% 23.04/4.07  | | | | | | | | | |              all_17_0) = v1 & apart_point_and_line(all_17_4,
% 23.04/4.07  | | | | | | | | | |              all_17_0) = v2 & distinct_points(all_17_3,
% 23.04/4.07  | | | | | | | | | |              all_17_4) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 =
% 23.04/4.07  | | | | | | | | | |              0))
% 23.04/4.07  | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | BETA: splitting (152) gives:
% 23.04/4.07  | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | Case 1:
% 23.04/4.07  | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | |   (177)  all_42_0 = 0
% 23.04/4.07  | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | | REDUCE: (80), (177) imply:
% 23.04/4.07  | | | | | | | | | | |   (178)  $false
% 23.04/4.07  | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 23.04/4.07  | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | Case 2:
% 23.04/4.07  | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | |   (179)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.07  | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_17_5,
% 23.04/4.07  | | | | | | | | | | |              all_36_1) = v2 &
% 23.04/4.07  | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v1 &
% 23.04/4.07  | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v0 & ( ~
% 23.04/4.07  | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 23.04/4.07  | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | | BETA: splitting (142) gives:
% 23.04/4.07  | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | | Case 1:
% 23.04/4.07  | | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | | |   (180)  all_36_0 = 0
% 23.04/4.07  | | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | | | REDUCE: (67), (180) imply:
% 23.04/4.07  | | | | | | | | | | | |   (181)  $false
% 23.04/4.07  | | | | | | | | | | | | 
% 23.04/4.07  | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | |   (182)  all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_36_1) = v3 &
% 23.04/4.08  | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v2 &
% 23.04/4.08  | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.08  | | | | | | | | | | | |            distinct_points(all_17_5, all_17_4) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | BETA: splitting (141) gives:
% 23.04/4.08  | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | |   (183)  all_36_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | REDUCE: (67), (183) imply:
% 23.04/4.08  | | | | | | | | | | | | |   (184)  $false
% 23.04/4.08  | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | |   (185)  all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_36_1) = v2 &
% 23.04/4.08  | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.08  | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.08  | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_5) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | BETA: splitting (134) gives:
% 23.04/4.08  | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | |   (186)  all_36_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | REDUCE: (67), (186) imply:
% 23.04/4.08  | | | | | | | | | | | | | |   (187)  $false
% 23.04/4.08  | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | |   (188)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | |          (apart_point_and_line(all_17_5, all_36_1) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 23.04/4.08  | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | |   (189)  all_36_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | REDUCE: (67), (189) imply:
% 23.04/4.08  | | | | | | | | | | | | | | |   (190)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | |   (191)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_17_4,
% 23.04/4.08  | | | | | | | | | | | | | | |              all_36_1) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | |   (192)  all_36_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | REDUCE: (67), (192) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | |   (193)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | CLOSE: (193) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | |   (194)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_5, all_36_1) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | |   (195)  all_36_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | REDUCE: (67), (195) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | |   (196)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | CLOSE: (196) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | |   (197)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_5, all_36_1) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | |            distinct_lines(all_36_1, all_17_2) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | |   (198)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | REDUCE: (60), (198) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | |   (199)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | |   (200)  all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_32_1) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |   (201)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | REDUCE: (60), (201) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |   (202)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |   (203)  all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_32_1) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |   (204)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (204) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |   (205)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |   (206)  all_28_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_32_1) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |   (207)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (207) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |   (208)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | CLOSE: (208) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |   (209)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_3) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |   (210)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (210) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |   (211)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |   (212)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_3) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (213) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |   (214)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (214) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_32_1) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_4) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (216) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |   (217)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v2 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_32_0 = 0
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (219) imply:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  $false
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (220) is inconsistent.
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_17_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_3, all_32_1) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_32_0 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (222) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_26_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_32_1) = v3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_5) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_26_0 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (225) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_5,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_36_1) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_36_1, all_17_2) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (227) with fresh symbols all_281_0,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_281_1, all_281_2, all_281_3 gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  apart_point_and_line(all_17_5, all_36_1) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_281_1 & apart_point_and_line(all_17_5,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_281_0 & distinct_lines(all_36_1,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_281_2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_5, all_17_5) = all_281_3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_281_2 = 0) |  ~ (all_281_3 = 0) |
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_281_0 = 0 | all_281_1 = 0)
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  apart_point_and_line(all_17_5, all_17_2) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_281_0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_17_1 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (230) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (231) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_3,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_17_2) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (232) with fresh symbols all_449_0,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_449_1, all_449_2, all_449_3 gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  apart_point_and_line(all_17_3, all_17_2) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_449_1 & apart_point_and_line(all_17_4,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_449_0 & distinct_lines(all_17_2,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_449_2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_3, all_17_4) = all_449_3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_449_2 = 0) |  ~ (all_449_3 = 0) |
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_449_0 = 0 | all_449_1 = 0)
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  apart_point_and_line(all_17_4, all_17_2) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_449_0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_17_1 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (235) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_3, all_17_0) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_0) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (237) with fresh symbols all_454_0,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_454_1, all_454_2 gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  apart_point_and_line(all_17_3, all_17_0) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_454_1 & apart_point_and_line(all_17_4,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_0) = all_454_0 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_3, all_17_4) = all_454_2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_454_2 = 0) | all_454_0 = 0 | all_454_1 =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            0)
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  apart_point_and_line(all_17_4, all_17_0) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_454_0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_17_1 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (240) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_5, all_36_1) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (242) with fresh symbols all_484_0,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_484_1, all_484_2 gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  apart_point_and_line(all_17_5, all_36_1) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_484_0 & apart_point_and_line(all_17_5,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_484_1 & distinct_lines(all_17_2,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_36_1) = all_484_2 & ( ~ (all_484_2 = 0) |
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_484_0 = 0 | all_484_1 = 0)
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  apart_point_and_line(all_17_5, all_17_2) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_484_1
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_28_0 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (245) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_4,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_36_1) = v3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_4) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (247) with fresh symbols all_544_0,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_544_1, all_544_2, all_544_3 gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  apart_point_and_line(all_17_4, all_36_1) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_544_0 & apart_point_and_line(all_17_5,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_544_1 & distinct_lines(all_17_2,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_36_1) = all_544_2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_5, all_17_4) = all_544_3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_544_2 = 0) |  ~ (all_544_3 = 0) |
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_544_0 = 0 | all_544_1 = 0)
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  apart_point_and_line(all_17_5, all_17_2) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_544_1
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_28_0 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (250) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (251) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_4,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_36_1) = v2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_5) = v0 & ( ~
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (252) with fresh symbols all_554_0,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_554_1, all_554_2, all_554_3 gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  apart_point_and_line(all_17_4, all_36_1) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_554_1 & apart_point_and_line(all_17_5,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_554_0 & distinct_lines(all_17_2,
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_36_1) = all_554_2 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_4, all_17_5) = all_554_3 &
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_554_2 = 0) |  ~ (all_554_3 = 0) |
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_554_0 = 0 | all_554_1 = 0)
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  apart_point_and_line(all_17_5, all_17_2) =
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_554_0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_26_0 = 0
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (255) imply:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  $false
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.04/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_5,
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_36_1) = v2 &
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v3 &
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (257) with fresh symbols all_569_0,
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_569_1, all_569_2, all_569_3 gives:
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  apart_point_and_line(all_17_5, all_36_1) =
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_569_1 & apart_point_and_line(all_17_5,
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_569_0 & distinct_lines(all_17_2,
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_36_1) = all_569_2 &
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_5, all_17_5) = all_569_3 &
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_569_2 = 0) |  ~ (all_569_3 = 0) |
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_569_0 = 0 | all_569_1 = 0)
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  apart_point_and_line(all_17_5, all_17_2) =
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_569_0
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_26_0 = 0
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (260) imply:
% 23.43/4.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_17_4, all_36_1) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (262) with fresh symbols all_574_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_574_1, all_574_2 gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  apart_point_and_line(all_17_4, all_36_1) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_574_0 & apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_574_1 & distinct_lines(all_17_2,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_36_1) = all_574_2 & ( ~ (all_574_2 = 0) |
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_574_0 = 0 | all_574_1 = 0)
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_574_1
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_26_0 = 0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (265) imply:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_5,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_36_1) = v3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_17_2) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_36_1) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_5) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (267) with fresh symbols all_579_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_579_1, all_579_2, all_579_3 gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  apart_point_and_line(all_17_5, all_36_1) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_579_0 & apart_point_and_line(all_17_5,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_579_1 & distinct_lines(all_17_2,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_36_1) = all_579_2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_5, all_17_5) = all_579_3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_579_2 = 0) |  ~ (all_579_3 = 0) |
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_579_0 = 0 | all_579_1 = 0)
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (268) implies:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  apart_point_and_line(all_17_5, all_17_2) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_579_1
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_28_0 = 0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (270) imply:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (271) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_32_1) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (272) with fresh symbols all_584_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_584_1, all_584_2, all_584_3 gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  apart_point_and_line(all_17_4, all_32_1) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_584_1 & apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_584_0 & distinct_lines(all_32_1,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_584_2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_4, all_17_4) = all_584_3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_584_2 = 0) |  ~ (all_584_3 = 0) |
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_584_0 = 0 | all_584_1 = 0)
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_584_0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_28_0 = 0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (275) imply:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_32_1) = v3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (277) with fresh symbols all_589_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_589_1, all_589_2, all_589_3 gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  apart_point_and_line(all_17_4, all_32_1) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_589_0 & apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_589_1 & distinct_lines(all_32_1,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_589_2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_4, all_17_4) = all_589_3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_589_2 = 0) |  ~ (all_589_3 = 0) |
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_589_0 = 0 | all_589_1 = 0)
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_589_1
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_28_0 = 0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (280) imply:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_32_1) = v3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_4) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (282) with fresh symbols all_594_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_594_1, all_594_2, all_594_3 gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  apart_point_and_line(all_17_4, all_32_1) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_594_0 & apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_594_1 & distinct_lines(all_17_2,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_32_1) = all_594_2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_4, all_17_4) = all_594_3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_594_2 = 0) |  ~ (all_594_3 = 0) |
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_594_0 = 0 | all_594_1 = 0)
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_594_1
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_17_1 = 0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (285) imply:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (286) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_3,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_32_1) = v3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_3) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (287) with fresh symbols all_599_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_599_1, all_599_2, all_599_3 gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  apart_point_and_line(all_17_3, all_32_1) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_599_0 & apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_599_1 & distinct_lines(all_17_2,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_32_1) = all_599_2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_4, all_17_3) = all_599_3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_599_2 = 0) |  ~ (all_599_3 = 0) |
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_599_0 = 0 | all_599_1 = 0)
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_599_1
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_17_1 = 0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (290) imply:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_3,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_32_1) = v3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_3) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (292) with fresh symbols all_604_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_604_1, all_604_2, all_604_3 gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  apart_point_and_line(all_17_3, all_32_1) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_604_0 & apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_604_1 & distinct_lines(all_32_1,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_604_2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_4, all_17_3) = all_604_3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_604_2 = 0) |  ~ (all_604_3 = 0) |
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_604_0 = 0 | all_604_1 = 0)
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_604_1
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_26_0 = 0
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (295) imply:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  $false
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_4,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2) = v3 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_32_1) = v2 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_5, all_17_4) = v0 & ( ~
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (297) with fresh symbols all_619_0,
% 23.43/4.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_619_1, all_619_2, all_619_3 gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_619_0 & apart_point_and_line(all_17_5,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_32_1) = all_619_1 & distinct_lines(all_32_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_619_2 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_5, all_17_4) = all_619_3 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_619_2 = 0) |  ~ (all_619_3 = 0) |
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_619_0 = 0 | all_619_1 = 0)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (298) implies:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_619_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_17_1 = 0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (300) imply:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  $false
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (301) is inconsistent.
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_3,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_32_1) = v2 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (302) with fresh symbols all_629_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_629_1, all_629_2, all_629_3 gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  apart_point_and_line(all_17_3, all_32_1) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_629_1 & apart_point_and_line(all_17_4,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_629_0 & distinct_lines(all_32_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_629_2 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_3, all_17_4) = all_629_3 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_629_2 = 0) |  ~ (all_629_3 = 0) |
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_629_0 = 0 | all_629_1 = 0)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_629_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_17_1 = 0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (305) imply:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  $false
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (306) is inconsistent.
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_3,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_32_1) = v2 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_4, all_17_2) = v3 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_17_2, all_32_1) = v1 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_3, all_17_4) = v0 & ( ~
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (307) with fresh symbols all_634_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_634_1, all_634_2, all_634_3 gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  apart_point_and_line(all_17_3, all_32_1) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_634_1 & apart_point_and_line(all_17_4,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_634_0 & distinct_lines(all_17_2,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_32_1) = all_634_2 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_3, all_17_4) = all_634_3 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_634_2 = 0) |  ~ (all_634_3 = 0) |
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_634_0 = 0 | all_634_1 = 0)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (308) implies:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_634_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_26_0 = 0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (310) imply:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  $false
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (311) is inconsistent.
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_17_4,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2) = v2 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_17_5, all_32_1) = v3 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_32_1, all_17_2) = v1 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_17_4, all_17_5) = v0 & ( ~
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (312) with fresh symbols all_644_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_644_1, all_644_2, all_644_3 gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_644_1 & apart_point_and_line(all_17_5,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_32_1) = all_644_0 & distinct_lines(all_32_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_17_2) = all_644_2 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_17_4, all_17_5) = all_644_3 &
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_644_2 = 0) |  ~ (all_644_3 = 0) |
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_644_0 = 0 | all_644_1 = 0)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  apart_point_and_line(all_17_4, all_17_2) =
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_644_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_26_0, all_281_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_5, simplifying with (50), (229)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_281_0 = all_26_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_281_0, all_484_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_5, simplifying with (229), (244)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_484_1 = all_281_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_484_1, all_544_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_5, simplifying with (244), (249)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_544_1 = all_484_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_544_1, all_554_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_5, simplifying with (249), (254)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_554_0 = all_544_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_554_0, all_569_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_5, simplifying with (254), (259)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_569_0 = all_554_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_569_0, all_579_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_5, simplifying with (259), (269)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_579_1 = all_569_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_89_2, all_579_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_5, simplifying with (154), (269)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_579_1 = all_89_2
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_30_0, all_89_3,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_0, all_17_5, simplifying with (57), (155)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_89_3 = all_30_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_589_1, all_599_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (279), (289)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_599_1 = all_589_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_449_0, all_599_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (234), (289)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_599_1 = all_449_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_102_1, all_599_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (163), (289)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_599_1 = all_102_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_599_1, all_604_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (289), (294)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_604_1 = all_599_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_28_0, all_619_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (54), (299)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_619_0 = all_28_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_599_1, all_619_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (289), (299)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_619_0 = all_599_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_584_0, all_619_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (274), (299)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_619_0 = all_584_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_574_1, all_619_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (264), (299)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_619_0 = all_574_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_589_1, all_629_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (279), (304)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_629_0 = all_589_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_89_0, all_629_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (156), (304)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_629_0 = all_89_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_604_1, all_634_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (294), (309)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_634_0 = all_604_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_594_1, all_634_0,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (284), (309)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_634_0 = all_594_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_599_1, all_644_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (289), (314)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_644_1 = all_599_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_102_0, all_644_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_2, all_17_4, simplifying with (164), (314)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_644_1 = all_102_0
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_89_1, all_107_1,
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_0, all_17_4, simplifying with (157), (169)
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_107_1 = all_89_1
% 23.43/4.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_107_1, all_107_0,
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_0, all_17_4, simplifying with (169), (170)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_107_0 = all_107_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_24_0, all_454_0,
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_0, all_17_4, simplifying with (46), (239)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_454_0 = all_24_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_107_0, all_454_0,
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_17_0, all_17_4, simplifying with (170), (239)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_454_0 = all_107_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (336) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_599_1 = all_102_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (341) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_599_1 = all_102_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (333), (334) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_604_1 = all_594_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (343) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_604_1 = all_594_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (332) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_589_1 = all_89_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (345) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_589_1 = all_89_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (329) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_599_1 = all_584_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (347) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_599_1 = all_584_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (327), (329) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_584_0 = all_28_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (330) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_584_0 = all_574_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (344) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_599_1 = all_594_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (351) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_599_1 = all_594_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (352) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_594_1 = all_102_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (352) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_594_1 = all_102_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (352) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_594_1 = all_449_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (352) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_594_1 = all_589_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (352) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_594_1 = all_584_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (355) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_449_0 = all_102_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (355) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_449_0 = all_102_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (356) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_589_1 = all_449_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (360) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_589_1 = all_449_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (357) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_584_0 = all_449_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (362) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_584_0 = all_449_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (361) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_449_0 = all_89_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (364) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_449_0 = all_89_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (363) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_574_1 = all_449_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (350) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_574_1 = all_28_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (321) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_569_0 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (368) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_569_0 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (367) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_449_0 = all_28_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (370) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_449_0 = all_28_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (369) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_554_0 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (372) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_554_0 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (373) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_544_1 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (374) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_544_1 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (375) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_484_1 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (376) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_484_1 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (377) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_281_0 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (378) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_281_0 = all_89_2
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (339), (340) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_107_0 = all_24_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (380) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_107_0 = all_24_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (359) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_102_0 = all_102_1
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (365) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_102_0 = all_89_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (371) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_102_0 = all_28_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (379) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_89_2 = all_26_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (385) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_89_2 = all_26_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (381) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_107_1 = all_24_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (387) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_107_1 = all_24_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (337), (388) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_89_1 = all_24_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (389) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_89_1 = all_24_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (384) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_102_1 = all_28_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (383) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_102_1 = all_89_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (392) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_89_0 = all_28_0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)   ~ (all_24_0 = 0)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_89_0 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (395) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  all_28_0 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (396) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_28_0 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (397) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  $false
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent.
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_89_1 = 0 | all_89_2 = 0 | all_89_3 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_89_1 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (400) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  all_24_0 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (401) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  $false
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (402) is inconsistent.
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_89_2 = 0 | all_89_3 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_89_2 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (404) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_26_0 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (405) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  $false
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (406) is inconsistent.
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_89_3 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (407) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_30_0 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (408) implies:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_30_0 = 0
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)   ~ (all_30_0 = 0)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (410) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  $false
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (411) is inconsistent.
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)   ~ (all_30_1 = 0)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (412) imply:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)   ~ (all_24_1 = 0)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (131), (413), (apart1) are inconsistent by
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)   ~ (all_24_1 = 0)
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (131), (414), (apart1) are inconsistent by
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | | 
% 23.43/4.13  | | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | | 
% 23.43/4.13  | | | | | | | | End of split
% 23.43/4.13  | | | | | | | | 
% 23.43/4.13  | | | | | | | End of split
% 23.43/4.13  | | | | | | | 
% 23.43/4.13  | | | | | | End of split
% 23.43/4.13  | | | | | | 
% 23.43/4.13  | | | | | Case 2:
% 23.43/4.13  | | | | | | 
% 23.43/4.13  | | | | | |   (415)   ~ (all_26_1 = 0)
% 23.43/4.13  | | | | | | 
% 23.43/4.13  | | | | | | REDUCE: (121), (415) imply:
% 23.43/4.13  | | | | | |   (416)  $false
% 23.43/4.13  | | | | | | 
% 23.43/4.13  | | | | | | CLOSE: (416) is inconsistent.
% 23.43/4.13  | | | | | | 
% 23.43/4.13  | | | | | End of split
% 23.43/4.13  | | | | | 
% 23.43/4.13  | | | | End of split
% 23.43/4.13  | | | | 
% 23.43/4.13  | | | End of split
% 23.43/4.13  | | | 
% 23.43/4.13  | | End of split
% 23.43/4.13  | | 
% 23.43/4.13  | Case 2:
% 23.43/4.13  | | 
% 23.43/4.13  | |   (417)  all_17_1 = 0
% 23.43/4.13  | | 
% 23.43/4.13  | | REDUCE: (17), (417) imply:
% 23.43/4.13  | |   (418)  $false
% 23.43/4.13  | | 
% 23.43/4.13  | | CLOSE: (418) is inconsistent.
% 23.43/4.13  | | 
% 23.43/4.13  | End of split
% 23.43/4.13  | 
% 23.43/4.13  End of proof
% 23.43/4.13  
% 23.43/4.13  Sub-proof #1 shows that the following formulas are inconsistent:
% 23.43/4.13  ----------------------------------------------------------------
% 23.43/4.13    (1)  all_24_1 = 0 | distinct_points(all_17_5, all_17_5) = 0
% 23.43/4.13    (2)   ! [v0: $i] : ( ~ (distinct_points(v0, v0) = 0) |  ~ $i(v0))
% 23.43/4.13    (3)  $i(all_17_5)
% 23.43/4.13    (4)   ~ (all_24_1 = 0)
% 23.43/4.13  
% 23.43/4.13  Begin of proof
% 23.43/4.13  | 
% 23.43/4.13  | BETA: splitting (1) gives:
% 23.43/4.13  | 
% 23.43/4.13  | Case 1:
% 23.43/4.13  | | 
% 23.43/4.13  | |   (5)  distinct_points(all_17_5, all_17_5) = 0
% 23.43/4.13  | | 
% 23.43/4.13  | | GROUND_INST: instantiating (2) with all_17_5, simplifying with (3), (5)
% 23.43/4.13  | |              gives:
% 23.43/4.13  | |   (6)  $false
% 23.43/4.13  | | 
% 23.43/4.13  | | CLOSE: (6) is inconsistent.
% 23.43/4.13  | | 
% 23.43/4.13  | Case 2:
% 23.43/4.13  | | 
% 23.43/4.13  | |   (7)  all_24_1 = 0
% 23.43/4.13  | | 
% 23.43/4.13  | | REDUCE: (4), (7) imply:
% 23.43/4.13  | |   (8)  $false
% 23.43/4.13  | | 
% 23.43/4.13  | | CLOSE: (8) is inconsistent.
% 23.43/4.13  | | 
% 23.43/4.13  | End of split
% 23.43/4.13  | 
% 23.43/4.13  End of proof
% 23.43/4.13  % SZS output end Proof for theBenchmark
% 23.43/4.13  
% 23.43/4.13  3660ms
%------------------------------------------------------------------------------