TSTP Solution File: GEO177+3 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n020.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 23:21:53 EDT 2023

% Result   : Theorem 14.89s 2.67s
% Output   : Proof 25.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 21:14:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.61  ________       _____
% 0.20/0.61  ___  __ \_________(_)________________________________
% 0.20/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61  
% 0.20/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61  (2023-06-19)
% 0.20/0.61  
% 0.20/0.61  (c) Philipp Rümmer, 2009-2023
% 0.20/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61                Amanda Stjerna.
% 0.20/0.61  Free software under BSD-3-Clause.
% 0.20/0.61  
% 0.20/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61  
% 0.20/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63  Running up to 7 provers in parallel.
% 0.20/0.65  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.10/1.10  Prover 1: Preprocessing ...
% 3.10/1.10  Prover 4: Preprocessing ...
% 3.10/1.13  Prover 0: Preprocessing ...
% 3.10/1.13  Prover 3: Preprocessing ...
% 3.10/1.13  Prover 5: Preprocessing ...
% 3.10/1.13  Prover 2: Preprocessing ...
% 3.10/1.13  Prover 6: Preprocessing ...
% 5.91/1.56  Prover 5: Proving ...
% 6.65/1.58  Prover 2: Proving ...
% 6.96/1.63  Prover 6: Constructing countermodel ...
% 6.96/1.63  Prover 1: Constructing countermodel ...
% 6.96/1.65  Prover 3: Constructing countermodel ...
% 8.19/1.78  Prover 6: gave up
% 8.19/1.78  Prover 3: gave up
% 8.19/1.78  Prover 1: gave up
% 8.19/1.81  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.19/1.81  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.19/1.81  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 8.19/1.83  Prover 7: Preprocessing ...
% 8.19/1.86  Prover 9: Preprocessing ...
% 8.19/1.87  Prover 8: Preprocessing ...
% 8.87/1.89  Prover 7: Warning: ignoring some quantifiers
% 8.87/1.92  Prover 7: Constructing countermodel ...
% 9.77/2.01  Prover 4: Constructing countermodel ...
% 9.98/2.09  Prover 0: Proving ...
% 9.98/2.09  Prover 8: Warning: ignoring some quantifiers
% 9.98/2.11  Prover 8: Constructing countermodel ...
% 11.27/2.26  Prover 8: gave up
% 11.88/2.27  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.32/2.33  Prover 10: Preprocessing ...
% 12.32/2.34  Prover 9: Constructing countermodel ...
% 12.32/2.43  Prover 10: Warning: ignoring some quantifiers
% 12.32/2.44  Prover 10: Constructing countermodel ...
% 13.93/2.60  Prover 10: gave up
% 13.93/2.62  Prover 7: gave up
% 14.51/2.62  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.51/2.63  Prover 12: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 14.51/2.66  Prover 12: Preprocessing ...
% 14.51/2.66  Prover 11: Preprocessing ...
% 14.89/2.67  Prover 0: proved (2039ms)
% 14.89/2.67  
% 14.89/2.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/2.67  
% 14.89/2.67  Prover 9: stopped
% 14.89/2.68  Prover 2: stopped
% 14.89/2.69  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.89/2.69  Prover 5: stopped
% 14.89/2.69  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 14.89/2.69  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 14.89/2.70  Prover 13: Preprocessing ...
% 14.89/2.71  Prover 16: Preprocessing ...
% 14.89/2.73  Prover 19: Preprocessing ...
% 15.44/2.76  Prover 16: Warning: ignoring some quantifiers
% 15.44/2.77  Prover 13: Warning: ignoring some quantifiers
% 15.44/2.77  Prover 16: Constructing countermodel ...
% 15.64/2.79  Prover 12: stopped
% 15.64/2.79  Prover 13: Constructing countermodel ...
% 16.23/2.88  Prover 19: Warning: ignoring some quantifiers
% 16.23/2.89  Prover 19: Constructing countermodel ...
% 16.23/2.91  Prover 11: Constructing countermodel ...
% 17.15/3.04  Prover 13: gave up
% 17.72/3.07  Prover 19: gave up
% 18.93/3.29  Prover 16: gave up
% 23.84/4.14  Prover 4: Found proof (size 625)
% 23.84/4.14  Prover 4: proved (3505ms)
% 23.84/4.15  Prover 11: stopped
% 23.84/4.15  
% 23.84/4.15  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.84/4.15  
% 24.16/4.23  % SZS output start Proof for theBenchmark
% 24.16/4.24  Assumptions after simplification:
% 24.16/4.24  ---------------------------------
% 24.16/4.24  
% 24.16/4.24    (ceq2)
% 24.40/4.27     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 24.40/4.27      0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_lines(v1,
% 24.40/4.27          v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: int] : ( ~ (v5 =
% 24.40/4.27          0) & apart_point_and_line(v0, v1) = v5)) &  ! [v0: $i] :  ! [v1: $i] : 
% 24.40/4.27    ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v3) |
% 24.40/4.27       ~ (apart_point_and_line(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 24.40/4.28      distinct_lines(v1, v2) = 0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 24.40/4.28    [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0, v1) = 0) |  ~
% 24.40/4.28      (distinct_lines(v1, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 24.40/4.28      apart_point_and_line(v0, v2) = 0)
% 24.40/4.28  
% 24.40/4.28    (ci1)
% 24.40/4.28     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 24.40/4.28       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 24.40/4.28      (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 24.40/4.28            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 24.40/4.28      (distinct_points(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 24.40/4.28      [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 24.40/4.28        apart_point_and_line(v0, v2) = v3 & $i(v2)))
% 24.40/4.28  
% 24.40/4.28    (ci2)
% 24.40/4.29     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 24.40/4.29       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 24.40/4.29      (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 24.40/4.29            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 24.40/4.29      (distinct_points(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 24.40/4.29      [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 24.40/4.29        apart_point_and_line(v1, v2) = v3 & $i(v2)))
% 24.40/4.29  
% 24.40/4.29    (con)
% 24.40/4.29     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5:
% 24.40/4.29      any] :  ? [v6: any] :  ? [v7: $i] :  ? [v8: int] :  ? [v9: int] : ( ~ (v9 =
% 24.40/4.29        0) &  ~ (v8 = 0) & line_connecting(v2, v3) = v4 & line_connecting(v0, v1)
% 24.40/4.29      = v7 & apart_point_and_line(v3, v7) = v9 & apart_point_and_line(v2, v7) = v8
% 24.40/4.29      & apart_point_and_line(v1, v4) = v6 & apart_point_and_line(v0, v4) = v5 &
% 24.40/4.29      distinct_points(v2, v3) = 0 & distinct_points(v0, v1) = 0 & $i(v7) & $i(v4)
% 24.40/4.29      & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v6 = 0 | v5 = 0))
% 24.40/4.29  
% 24.40/4.29    (con1)
% 24.40/4.30     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 24.40/4.30       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :  ? [v6:
% 24.40/4.30        any] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 &
% 24.40/4.30        distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) |
% 24.40/4.30          v6 = 0))) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) =
% 24.40/4.30        0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4: $i] : 
% 24.40/4.30      ? [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 24.40/4.30        line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 = 0) | v5 =
% 24.40/4.30          0)))
% 24.40/4.30  
% 24.40/4.30    (cu1)
% 24.40/4.32     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5:
% 24.40/4.32      int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~
% 24.40/4.32      (apart_point_and_line(v1, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 24.40/4.32      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 24.40/4.32      ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 24.40/4.32          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 24.40/4.32          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 24.40/4.32      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) =
% 24.40/4.32        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ (distinct_lines(v2, v3)
% 24.40/4.32        = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ?
% 24.40/4.32      [v7: any] :  ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 24.40/4.32        apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 24.40/4.32            = 0) | v8 = 0 | v7 = 0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : 
% 24.40/4.32    ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 24.40/4.32      (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 24.40/4.32      |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7:
% 24.40/4.32        any] :  ? [v8: any] :  ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 24.40/4.32        apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 24.40/4.32        distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0 | v8 =
% 24.40/4.32          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 24.40/4.32      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) =
% 24.40/4.32        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 24.40/4.32      $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ? [v9:
% 24.40/4.32        any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 24.40/4.32        v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 24.40/4.32            = 0) |  ~ (v6 = 0) | v9 = 0 | v8 = 0))) &  ! [v0: $i] :  ! [v1: $i] : 
% 24.40/4.32    ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 24.40/4.32      (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 24.40/4.32      |  ~ (distinct_lines(v2, v3) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 24.40/4.32      $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 24.40/4.32      (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 24.40/4.32        distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) &  ! [v0:
% 24.40/4.32      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int]
% 24.40/4.32    : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5) |  ~
% 24.40/4.32      (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 24.40/4.32      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 24.40/4.32      ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 24.40/4.32          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 24.40/4.32          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 24.40/4.32      (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ~ $i(v3)
% 24.40/4.32      |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ? [v6:
% 24.40/4.32        any] :  ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 24.40/4.32        apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 24.40/4.32        apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 24.40/4.32  
% 24.40/4.32    (cup1)
% 24.40/4.32     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 24.40/4.32      0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~
% 24.40/4.32      (apart_point_and_line(v0, v1) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 24.40/4.32      [v5: any] :  ? [v6: any] : (convergent_lines(v1, v2) = v6 &
% 24.40/4.32        distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) &  ! [v0: $i] :  !
% 24.40/4.32    [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 = 0 | v3 = 0 |  ~
% 24.40/4.32      (apart_point_and_line(v0, v2) = v3) |  ~ (convergent_lines(v1, v2) = v4) | 
% 24.40/4.32      ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: any] :  ? [v6: any] :
% 24.40/4.32      (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 =
% 24.40/4.32            0) | v6 = 0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3:
% 24.40/4.32      int] :  ! [v4: int] : (v4 = 0 | v3 = 0 |  ~ (apart_point_and_line(v0, v1) =
% 24.40/4.32        v3) |  ~ (convergent_lines(v1, v2) = v4) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 24.40/4.32      $i(v0) |  ? [v5: any] :  ? [v6: any] : (apart_point_and_line(v0, v2) = v6 &
% 24.40/4.32        distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) &  ! [v0: $i] :  !
% 24.40/4.32    [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0,
% 24.40/4.32          v2) = v3) |  ~ (distinct_lines(v1, v2) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 24.40/4.32      $i(v0) |  ? [v4: any] :  ? [v5: any] : (apart_point_and_line(v0, v1) = v4 &
% 24.40/4.32        convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) &  ! [v0: $i] :  !
% 24.40/4.32    [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0,
% 24.40/4.32          v1) = v3) |  ~ (distinct_lines(v1, v2) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 24.40/4.32      $i(v0) |  ? [v4: any] :  ? [v5: any] : (apart_point_and_line(v0, v2) = v4 &
% 24.40/4.32        convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0)))
% 24.40/4.32  
% 24.40/4.32    (function-axioms)
% 24.40/4.33     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 24.40/4.33    [v3: $i] : (v1 = v0 |  ~ (orthogonal_lines(v3, v2) = v1) |  ~
% 24.40/4.33      (orthogonal_lines(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 24.40/4.33      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.40/4.33      (incident_point_and_line(v3, v2) = v1) |  ~ (incident_point_and_line(v3, v2)
% 24.40/4.33        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 24.40/4.33      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (parallel_lines(v3, v2) = v1) |  ~
% 24.40/4.33      (parallel_lines(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 24.40/4.33      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.40/4.33      (equal_lines(v3, v2) = v1) |  ~ (equal_lines(v3, v2) = v0)) &  ! [v0:
% 24.40/4.33      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 24.40/4.33    : (v1 = v0 |  ~ (equal_points(v3, v2) = v1) |  ~ (equal_points(v3, v2) = v0))
% 24.40/4.33    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.40/4.33      (orthogonal_through_point(v3, v2) = v1) |  ~ (orthogonal_through_point(v3,
% 24.40/4.33          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 24.40/4.33    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (unorthogonal_lines(v3, v2) = v1) | 
% 24.40/4.33      ~ (unorthogonal_lines(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 24.40/4.33      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (parallel_through_point(v3, v2) = v1) |  ~
% 24.40/4.33      (parallel_through_point(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 24.40/4.33      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (intersection_point(v3, v2) = v1) |  ~
% 24.40/4.33      (intersection_point(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 24.40/4.33    :  ! [v3: $i] : (v1 = v0 |  ~ (line_connecting(v3, v2) = v1) |  ~
% 24.40/4.33      (line_connecting(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 24.40/4.33      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.40/4.33      (apart_point_and_line(v3, v2) = v1) |  ~ (apart_point_and_line(v3, v2) =
% 24.40/4.33        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 24.40/4.33      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (convergent_lines(v3, v2) = v1) |  ~
% 24.40/4.33      (convergent_lines(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 24.40/4.33      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.40/4.33      (distinct_lines(v3, v2) = v1) |  ~ (distinct_lines(v3, v2) = v0)) &  ! [v0:
% 24.40/4.33      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 24.40/4.33    : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~ (distinct_points(v3, v2) =
% 24.40/4.33        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 24.40/4.33      $i] : (v1 = v0 |  ~ (point(v2) = v1) |  ~ (point(v2) = v0)) &  ! [v0:
% 24.40/4.33      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 24.40/4.33      ~ (line(v2) = v1) |  ~ (line(v2) = v0))
% 24.40/4.33  
% 24.40/4.33  Further assumptions not needed in the proof:
% 24.40/4.33  --------------------------------------------
% 24.40/4.33  a3, a4, a5, apart1, apart2, apart3, apart4, apart5, ax1, ax2, ax6, ceq1, ceq3,
% 24.40/4.33  ci3, ci4, coipo1, cotno1, couo1, cp1, cp2, int1, oac1, occu1, ooc1, ooc2, orth1,
% 24.40/4.33  ouo1, p1, par1
% 24.40/4.33  
% 24.40/4.33  Those formulas are unsatisfiable:
% 24.40/4.33  ---------------------------------
% 24.40/4.33  
% 24.40/4.33  Begin of proof
% 24.40/4.33  | 
% 24.40/4.33  | ALPHA: (ci1) implies:
% 24.40/4.34  |   (1)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 24.40/4.34  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 24.40/4.34  |            line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3 &
% 24.40/4.34  |            $i(v2)))
% 24.40/4.34  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 24.40/4.34  |            = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 24.40/4.34  |          (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 24.40/4.34  |              ~ (v4 = 0) |  ~ (v3 = 0))))
% 24.40/4.34  | 
% 24.40/4.34  | ALPHA: (ci2) implies:
% 24.40/4.34  |   (3)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 24.40/4.34  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 24.40/4.34  |            line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3 &
% 24.40/4.34  |            $i(v2)))
% 24.40/4.34  |   (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 24.40/4.34  |            = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 24.40/4.34  |          (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 24.40/4.34  |              ~ (v4 = 0) |  ~ (v3 = 0))))
% 24.40/4.34  | 
% 24.40/4.34  | ALPHA: (cu1) implies:
% 24.40/4.34  |   (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 24.40/4.34  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5)
% 24.40/4.34  |          |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0,
% 24.40/4.34  |              v1) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 24.40/4.34  |          [v6: any] :  ? [v7: any] :  ? [v8: any] : (apart_point_and_line(v1,
% 24.40/4.34  |              v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2,
% 24.40/4.34  |              v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 24.40/4.34  |   (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 24.40/4.34  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5)
% 24.40/4.34  |          |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 24.40/4.34  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 24.40/4.34  |          [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 24.40/4.34  |            apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 24.40/4.34  |            distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0
% 24.40/4.34  |              | v8 = 0)))
% 24.40/4.35  |   (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 24.40/4.35  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5)
% 24.40/4.35  |          |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 24.40/4.35  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 24.40/4.35  |          [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 24.40/4.35  |            apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 24.40/4.35  |            distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0
% 24.40/4.35  |              | v8 = 0)))
% 24.40/4.35  |   (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 24.40/4.35  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5)
% 24.40/4.35  |          |  ~ (apart_point_and_line(v1, v2) = v4) |  ~ (distinct_points(v0,
% 24.40/4.35  |              v1) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 24.40/4.35  |          [v6: any] :  ? [v7: any] :  ? [v8: any] : (apart_point_and_line(v0,
% 24.40/4.35  |              v3) = v8 & apart_point_and_line(v0, v2) = v7 & distinct_lines(v2,
% 24.40/4.35  |              v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 24.40/4.35  | 
% 24.40/4.35  | ALPHA: (ceq2) implies:
% 24.40/4.35  |   (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 24.40/4.35  |          (apart_point_and_line(v0, v1) = 0) |  ~ (distinct_lines(v1, v2) = v3)
% 24.40/4.35  |          |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | apart_point_and_line(v0, v2) =
% 24.40/4.35  |          0)
% 24.40/4.35  | 
% 24.40/4.35  | ALPHA: (cup1) implies:
% 24.40/4.35  |   (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int]
% 24.40/4.35  |         : (v4 = 0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~
% 24.40/4.35  |           (apart_point_and_line(v0, v1) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 24.40/4.35  |           $i(v0) |  ? [v5: any] :  ? [v6: any] : (convergent_lines(v1, v2) =
% 24.40/4.35  |             v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 24.40/4.35  | 
% 24.40/4.35  | ALPHA: (con1) implies:
% 24.40/4.35  |   (11)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 24.40/4.35  |           $i(v1) |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4: $i] :  ?
% 24.40/4.35  |           [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 24.40/4.35  |             line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 = 0)
% 24.40/4.35  |               | v5 = 0)))
% 24.40/4.35  |   (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 24.40/4.35  |             = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ?
% 24.40/4.35  |           [v5: any] :  ? [v6: any] : (point(v1) = v4 & point(v0) = v3 &
% 24.40/4.35  |             line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) |  ~
% 24.40/4.35  |               (v4 = 0) |  ~ (v3 = 0) | v6 = 0)))
% 24.40/4.35  | 
% 24.40/4.35  | ALPHA: (function-axioms) implies:
% 24.40/4.35  |   (13)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 24.40/4.35  |         :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~
% 24.40/4.35  |           (distinct_points(v3, v2) = v0))
% 24.40/4.35  |   (14)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 24.40/4.35  |         :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_lines(v3, v2) = v1) |  ~
% 24.40/4.35  |           (distinct_lines(v3, v2) = v0))
% 24.40/4.36  |   (15)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 24.40/4.36  |         :  ! [v3: $i] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~
% 24.40/4.36  |           (apart_point_and_line(v3, v2) = v0))
% 24.40/4.36  |   (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.40/4.36  |           (line_connecting(v3, v2) = v1) |  ~ (line_connecting(v3, v2) = v0))
% 24.40/4.36  | 
% 24.40/4.36  | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2,
% 24.40/4.36  |        all_38_3, all_38_4, all_38_5, all_38_6, all_38_7, all_38_8, all_38_9
% 24.40/4.36  |        gives:
% 24.40/4.36  |   (17)   ~ (all_38_0 = 0) &  ~ (all_38_1 = 0) & line_connecting(all_38_7,
% 24.40/4.36  |           all_38_6) = all_38_5 & line_connecting(all_38_9, all_38_8) =
% 24.40/4.36  |         all_38_2 & apart_point_and_line(all_38_6, all_38_2) = all_38_0 &
% 24.40/4.36  |         apart_point_and_line(all_38_7, all_38_2) = all_38_1 &
% 24.40/4.36  |         apart_point_and_line(all_38_8, all_38_5) = all_38_3 &
% 24.40/4.36  |         apart_point_and_line(all_38_9, all_38_5) = all_38_4 &
% 24.40/4.36  |         distinct_points(all_38_7, all_38_6) = 0 & distinct_points(all_38_9,
% 24.40/4.36  |           all_38_8) = 0 & $i(all_38_2) & $i(all_38_5) & $i(all_38_6) &
% 24.40/4.36  |         $i(all_38_7) & $i(all_38_8) & $i(all_38_9) & (all_38_3 = 0 | all_38_4
% 24.40/4.36  |           = 0)
% 24.40/4.36  | 
% 24.40/4.36  | ALPHA: (17) implies:
% 24.40/4.36  |   (18)   ~ (all_38_1 = 0)
% 24.40/4.36  |   (19)   ~ (all_38_0 = 0)
% 24.40/4.36  |   (20)  $i(all_38_9)
% 24.40/4.36  |   (21)  $i(all_38_8)
% 24.40/4.36  |   (22)  $i(all_38_7)
% 24.40/4.36  |   (23)  $i(all_38_6)
% 24.40/4.36  |   (24)  $i(all_38_5)
% 24.40/4.36  |   (25)  $i(all_38_2)
% 24.40/4.36  |   (26)  distinct_points(all_38_9, all_38_8) = 0
% 24.40/4.36  |   (27)  distinct_points(all_38_7, all_38_6) = 0
% 24.40/4.36  |   (28)  apart_point_and_line(all_38_9, all_38_5) = all_38_4
% 24.40/4.36  |   (29)  apart_point_and_line(all_38_8, all_38_5) = all_38_3
% 24.40/4.36  |   (30)  apart_point_and_line(all_38_7, all_38_2) = all_38_1
% 24.40/4.36  |   (31)  apart_point_and_line(all_38_6, all_38_2) = all_38_0
% 24.40/4.36  |   (32)  line_connecting(all_38_9, all_38_8) = all_38_2
% 24.40/4.36  |   (33)  line_connecting(all_38_7, all_38_6) = all_38_5
% 24.40/4.36  |   (34)  all_38_3 = 0 | all_38_4 = 0
% 24.40/4.36  | 
% 24.40/4.36  | GROUND_INST: instantiating (11) with all_38_9, all_38_8, simplifying with
% 24.40/4.36  |              (20), (21), (26) gives:
% 24.40/4.36  |   (35)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :
% 24.40/4.36  |         (point(all_38_8) = v1 & point(all_38_9) = v0 & line(v2) = v3 &
% 24.40/4.36  |           line_connecting(all_38_9, all_38_8) = v2 & $i(v2) & ( ~ (v1 = 0) | 
% 24.40/4.36  |             ~ (v0 = 0) | v3 = 0))
% 24.40/4.36  | 
% 24.40/4.36  | GROUND_INST: instantiating (3) with all_38_9, all_38_8, simplifying with (20),
% 24.40/4.36  |              (21), (26) gives:
% 24.40/4.36  |   (36)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_9,
% 24.40/4.36  |             all_38_8) = v0 & apart_point_and_line(all_38_8, v0) = v1 & $i(v0))
% 24.40/4.36  | 
% 24.40/4.36  | GROUND_INST: instantiating (1) with all_38_9, all_38_8, simplifying with (20),
% 24.40/4.36  |              (21), (26) gives:
% 24.40/4.36  |   (37)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_9,
% 24.40/4.36  |             all_38_8) = v0 & apart_point_and_line(all_38_9, v0) = v1 & $i(v0))
% 24.40/4.36  | 
% 24.40/4.36  | GROUND_INST: instantiating (11) with all_38_7, all_38_6, simplifying with
% 24.40/4.36  |              (22), (23), (27) gives:
% 24.40/4.37  |   (38)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :
% 24.40/4.37  |         (point(all_38_6) = v1 & point(all_38_7) = v0 & line(v2) = v3 &
% 24.40/4.37  |           line_connecting(all_38_7, all_38_6) = v2 & $i(v2) & ( ~ (v1 = 0) | 
% 24.40/4.37  |             ~ (v0 = 0) | v3 = 0))
% 24.40/4.37  | 
% 24.40/4.37  | GROUND_INST: instantiating (3) with all_38_7, all_38_6, simplifying with (22),
% 24.40/4.37  |              (23), (27) gives:
% 24.40/4.37  |   (39)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_7,
% 24.40/4.37  |             all_38_6) = v0 & apart_point_and_line(all_38_6, v0) = v1 & $i(v0))
% 24.40/4.37  | 
% 24.40/4.37  | GROUND_INST: instantiating (1) with all_38_7, all_38_6, simplifying with (22),
% 24.40/4.37  |              (23), (27) gives:
% 24.40/4.37  |   (40)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_7,
% 24.40/4.37  |             all_38_6) = v0 & apart_point_and_line(all_38_7, v0) = v1 & $i(v0))
% 24.40/4.37  | 
% 24.40/4.37  | GROUND_INST: instantiating (5) with all_38_7, all_38_6, all_38_2, all_38_2,
% 24.40/4.37  |              all_38_1, all_38_1, simplifying with (22), (23), (25), (27), (30)
% 24.40/4.37  |              gives:
% 24.40/4.37  |   (41)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 24.40/4.37  |         (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 24.40/4.37  |           apart_point_and_line(all_38_6, all_38_2) = v1 &
% 24.40/4.37  |           distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1
% 24.40/4.37  |             = 0))
% 24.40/4.37  | 
% 24.40/4.37  | GROUND_INST: instantiating (7) with all_38_7, all_38_7, all_38_2, all_38_2,
% 24.40/4.37  |              all_38_1, all_38_1, simplifying with (22), (25), (30) gives:
% 24.40/4.37  |   (42)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 24.40/4.37  |           any] : (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.40/4.37  |           apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.40/4.37  |           distinct_lines(all_38_2, all_38_2) = v1 & distinct_points(all_38_7,
% 24.40/4.37  |             all_38_7) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.40/4.37  | 
% 24.40/4.37  | GROUND_INST: instantiating (6) with all_38_7, all_38_8, all_38_5, all_38_2,
% 24.40/4.37  |              all_38_1, all_38_3, simplifying with (21), (22), (24), (25),
% 24.40/4.37  |              (29), (30) gives:
% 24.40/4.37  |   (43)  all_38_1 = 0 | all_38_3 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 24.40/4.37  |           any] :  ? [v3: any] : (apart_point_and_line(all_38_7, all_38_5) = v2
% 24.40/4.37  |           & apart_point_and_line(all_38_8, all_38_2) = v3 &
% 24.40/4.37  |           distinct_lines(all_38_5, all_38_2) = v1 & distinct_points(all_38_7,
% 24.40/4.37  |             all_38_8) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.40/4.37  | 
% 24.40/4.37  | GROUND_INST: instantiating (8) with all_38_7, all_38_6, all_38_2, all_38_2,
% 24.40/4.37  |              all_38_0, all_38_0, simplifying with (22), (23), (25), (27), (31)
% 24.40/4.37  |              gives:
% 24.40/4.38  |   (44)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 24.40/4.38  |         (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.40/4.38  |           apart_point_and_line(all_38_7, all_38_2) = v1 &
% 24.40/4.38  |           distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1
% 24.40/4.38  |             = 0))
% 24.40/4.38  | 
% 24.40/4.38  | GROUND_INST: instantiating (7) with all_38_6, all_38_6, all_38_2, all_38_2,
% 24.40/4.38  |              all_38_0, all_38_0, simplifying with (23), (25), (31) gives:
% 24.40/4.38  |   (45)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 24.40/4.38  |           any] : (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 24.40/4.38  |           apart_point_and_line(all_38_6, all_38_2) = v2 &
% 24.40/4.38  |           distinct_lines(all_38_2, all_38_2) = v1 & distinct_points(all_38_6,
% 24.40/4.38  |             all_38_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.40/4.38  | 
% 24.40/4.38  | GROUND_INST: instantiating (7) with all_38_6, all_38_7, all_38_2, all_38_2,
% 24.40/4.38  |              all_38_0, all_38_1, simplifying with (22), (23), (25), (30), (31)
% 24.40/4.38  |              gives:
% 24.40/4.38  |   (46)  all_38_0 = 0 | all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 24.40/4.38  |           any] :  ? [v3: any] : (apart_point_and_line(all_38_6, all_38_2) = v2
% 24.40/4.38  |           & apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.40/4.38  |           distinct_lines(all_38_2, all_38_2) = v1 & distinct_points(all_38_6,
% 24.40/4.38  |             all_38_7) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.40/4.38  | 
% 24.40/4.38  | GROUND_INST: instantiating (4) with all_38_9, all_38_8, all_38_2, simplifying
% 24.40/4.38  |              with (20), (21), (32) gives:
% 24.40/4.38  |   (47)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_8,
% 24.40/4.38  |             all_38_2) = v1 & distinct_points(all_38_9, all_38_8) = v0 & ( ~
% 24.40/4.38  |             (v1 = 0) |  ~ (v0 = 0)))
% 24.40/4.38  | 
% 24.40/4.38  | GROUND_INST: instantiating (2) with all_38_9, all_38_8, all_38_2, simplifying
% 24.40/4.38  |              with (20), (21), (32) gives:
% 24.40/4.38  |   (48)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_9,
% 24.40/4.38  |             all_38_2) = v1 & distinct_points(all_38_9, all_38_8) = v0 & ( ~
% 24.40/4.38  |             (v1 = 0) |  ~ (v0 = 0)))
% 24.40/4.38  | 
% 24.40/4.38  | GROUND_INST: instantiating (12) with all_38_7, all_38_6, all_38_5, simplifying
% 24.40/4.38  |              with (22), (23), (33) gives:
% 24.40/4.38  |   (49)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 24.40/4.38  |         (point(all_38_6) = v1 & point(all_38_7) = v0 & line(all_38_5) = v3 &
% 24.40/4.38  |           distinct_points(all_38_7, all_38_6) = v2 & ( ~ (v2 = 0) |  ~ (v1 =
% 24.40/4.38  |               0) |  ~ (v0 = 0) | v3 = 0))
% 24.40/4.38  | 
% 24.40/4.38  | GROUND_INST: instantiating (4) with all_38_7, all_38_6, all_38_5, simplifying
% 24.40/4.38  |              with (22), (23), (33) gives:
% 24.40/4.38  |   (50)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_6,
% 24.40/4.38  |             all_38_5) = v1 & distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 24.40/4.38  |             (v1 = 0) |  ~ (v0 = 0)))
% 24.40/4.38  | 
% 24.40/4.38  | GROUND_INST: instantiating (2) with all_38_7, all_38_6, all_38_5, simplifying
% 24.40/4.38  |              with (22), (23), (33) gives:
% 24.40/4.38  |   (51)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_7,
% 24.40/4.38  |             all_38_5) = v1 & distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 24.40/4.38  |             (v1 = 0) |  ~ (v0 = 0)))
% 24.40/4.38  | 
% 24.40/4.38  | DELTA: instantiating (51) with fresh symbols all_49_0, all_49_1 gives:
% 24.40/4.38  |   (52)  apart_point_and_line(all_38_7, all_38_5) = all_49_0 &
% 24.40/4.38  |         distinct_points(all_38_7, all_38_6) = all_49_1 & ( ~ (all_49_0 = 0) | 
% 24.40/4.39  |           ~ (all_49_1 = 0))
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (52) implies:
% 24.40/4.39  |   (53)  distinct_points(all_38_7, all_38_6) = all_49_1
% 24.40/4.39  |   (54)  apart_point_and_line(all_38_7, all_38_5) = all_49_0
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (48) with fresh symbols all_51_0, all_51_1 gives:
% 24.40/4.39  |   (55)  apart_point_and_line(all_38_9, all_38_2) = all_51_0 &
% 24.40/4.39  |         distinct_points(all_38_9, all_38_8) = all_51_1 & ( ~ (all_51_0 = 0) | 
% 24.40/4.39  |           ~ (all_51_1 = 0))
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (55) implies:
% 24.40/4.39  |   (56)  apart_point_and_line(all_38_9, all_38_2) = all_51_0
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (47) with fresh symbols all_53_0, all_53_1 gives:
% 24.40/4.39  |   (57)  apart_point_and_line(all_38_8, all_38_2) = all_53_0 &
% 24.40/4.39  |         distinct_points(all_38_9, all_38_8) = all_53_1 & ( ~ (all_53_0 = 0) | 
% 24.40/4.39  |           ~ (all_53_1 = 0))
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (57) implies:
% 24.40/4.39  |   (58)  apart_point_and_line(all_38_8, all_38_2) = all_53_0
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (40) with fresh symbols all_55_0, all_55_1 gives:
% 24.40/4.39  |   (59)   ~ (all_55_0 = 0) & line_connecting(all_38_7, all_38_6) = all_55_1 &
% 24.40/4.39  |         apart_point_and_line(all_38_7, all_55_1) = all_55_0 & $i(all_55_1)
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (59) implies:
% 24.40/4.39  |   (60)   ~ (all_55_0 = 0)
% 24.40/4.39  |   (61)  $i(all_55_1)
% 24.40/4.39  |   (62)  apart_point_and_line(all_38_7, all_55_1) = all_55_0
% 24.40/4.39  |   (63)  line_connecting(all_38_7, all_38_6) = all_55_1
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (39) with fresh symbols all_57_0, all_57_1 gives:
% 24.40/4.39  |   (64)   ~ (all_57_0 = 0) & line_connecting(all_38_7, all_38_6) = all_57_1 &
% 24.40/4.39  |         apart_point_and_line(all_38_6, all_57_1) = all_57_0 & $i(all_57_1)
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (64) implies:
% 24.40/4.39  |   (65)  apart_point_and_line(all_38_6, all_57_1) = all_57_0
% 24.40/4.39  |   (66)  line_connecting(all_38_7, all_38_6) = all_57_1
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (50) with fresh symbols all_59_0, all_59_1 gives:
% 24.40/4.39  |   (67)  apart_point_and_line(all_38_6, all_38_5) = all_59_0 &
% 24.40/4.39  |         distinct_points(all_38_7, all_38_6) = all_59_1 & ( ~ (all_59_0 = 0) | 
% 24.40/4.39  |           ~ (all_59_1 = 0))
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (67) implies:
% 24.40/4.39  |   (68)  distinct_points(all_38_7, all_38_6) = all_59_1
% 24.40/4.39  |   (69)  apart_point_and_line(all_38_6, all_38_5) = all_59_0
% 24.40/4.39  |   (70)   ~ (all_59_0 = 0) |  ~ (all_59_1 = 0)
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (37) with fresh symbols all_61_0, all_61_1 gives:
% 24.40/4.39  |   (71)   ~ (all_61_0 = 0) & line_connecting(all_38_9, all_38_8) = all_61_1 &
% 24.40/4.39  |         apart_point_and_line(all_38_9, all_61_1) = all_61_0 & $i(all_61_1)
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (71) implies:
% 24.40/4.39  |   (72)   ~ (all_61_0 = 0)
% 24.40/4.39  |   (73)  $i(all_61_1)
% 24.40/4.39  |   (74)  apart_point_and_line(all_38_9, all_61_1) = all_61_0
% 24.40/4.39  |   (75)  line_connecting(all_38_9, all_38_8) = all_61_1
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (36) with fresh symbols all_63_0, all_63_1 gives:
% 24.40/4.39  |   (76)   ~ (all_63_0 = 0) & line_connecting(all_38_9, all_38_8) = all_63_1 &
% 24.40/4.39  |         apart_point_and_line(all_38_8, all_63_1) = all_63_0 & $i(all_63_1)
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (76) implies:
% 24.40/4.39  |   (77)   ~ (all_63_0 = 0)
% 24.40/4.39  |   (78)  apart_point_and_line(all_38_8, all_63_1) = all_63_0
% 24.40/4.39  |   (79)  line_connecting(all_38_9, all_38_8) = all_63_1
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (35) with fresh symbols all_65_0, all_65_1, all_65_2,
% 24.40/4.39  |        all_65_3 gives:
% 24.40/4.39  |   (80)  point(all_38_8) = all_65_2 & point(all_38_9) = all_65_3 &
% 24.40/4.39  |         line(all_65_1) = all_65_0 & line_connecting(all_38_9, all_38_8) =
% 24.40/4.39  |         all_65_1 & $i(all_65_1) & ( ~ (all_65_2 = 0) |  ~ (all_65_3 = 0) |
% 24.40/4.39  |           all_65_0 = 0)
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (80) implies:
% 24.40/4.39  |   (81)  line_connecting(all_38_9, all_38_8) = all_65_1
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (38) with fresh symbols all_67_0, all_67_1, all_67_2,
% 24.40/4.39  |        all_67_3 gives:
% 24.40/4.39  |   (82)  point(all_38_6) = all_67_2 & point(all_38_7) = all_67_3 &
% 24.40/4.39  |         line(all_67_1) = all_67_0 & line_connecting(all_38_7, all_38_6) =
% 24.40/4.39  |         all_67_1 & $i(all_67_1) & ( ~ (all_67_2 = 0) |  ~ (all_67_3 = 0) |
% 24.40/4.39  |           all_67_0 = 0)
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (82) implies:
% 24.40/4.39  |   (83)  line_connecting(all_38_7, all_38_6) = all_67_1
% 24.40/4.39  | 
% 24.40/4.39  | DELTA: instantiating (49) with fresh symbols all_71_0, all_71_1, all_71_2,
% 24.40/4.39  |        all_71_3 gives:
% 24.40/4.39  |   (84)  point(all_38_6) = all_71_2 & point(all_38_7) = all_71_3 &
% 24.40/4.39  |         line(all_38_5) = all_71_0 & distinct_points(all_38_7, all_38_6) =
% 24.40/4.39  |         all_71_1 & ( ~ (all_71_1 = 0) |  ~ (all_71_2 = 0) |  ~ (all_71_3 = 0)
% 24.40/4.39  |           | all_71_0 = 0)
% 24.40/4.39  | 
% 24.40/4.39  | ALPHA: (84) implies:
% 24.40/4.39  |   (85)  distinct_points(all_38_7, all_38_6) = all_71_1
% 24.40/4.39  | 
% 24.40/4.39  | BETA: splitting (44) gives:
% 24.40/4.39  | 
% 24.40/4.40  | Case 1:
% 24.40/4.40  | | 
% 24.40/4.40  | |   (86)  all_38_0 = 0
% 24.40/4.40  | | 
% 24.40/4.40  | | REDUCE: (19), (86) imply:
% 24.40/4.40  | |   (87)  $false
% 24.40/4.40  | | 
% 24.40/4.40  | | CLOSE: (87) is inconsistent.
% 24.40/4.40  | | 
% 24.40/4.40  | Case 2:
% 24.40/4.40  | | 
% 24.40/4.40  | |   (88)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 24.40/4.40  | |         (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.40/4.40  | |           apart_point_and_line(all_38_7, all_38_2) = v1 &
% 24.40/4.40  | |           distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 |
% 24.40/4.40  | |             v1 = 0))
% 24.40/4.40  | | 
% 24.40/4.40  | | DELTA: instantiating (88) with fresh symbols all_85_0, all_85_1, all_85_2
% 24.40/4.40  | |        gives:
% 24.40/4.40  | |   (89)  apart_point_and_line(all_38_7, all_38_2) = all_85_0 &
% 24.40/4.40  | |         apart_point_and_line(all_38_7, all_38_2) = all_85_1 &
% 24.40/4.40  | |         distinct_lines(all_38_2, all_38_2) = all_85_2 & ( ~ (all_85_2 = 0) |
% 24.40/4.40  | |           all_85_0 = 0 | all_85_1 = 0)
% 24.40/4.40  | | 
% 24.40/4.40  | | ALPHA: (89) implies:
% 24.40/4.40  | |   (90)  apart_point_and_line(all_38_7, all_38_2) = all_85_1
% 24.40/4.40  | |   (91)  apart_point_and_line(all_38_7, all_38_2) = all_85_0
% 24.40/4.40  | | 
% 24.40/4.40  | | BETA: splitting (41) gives:
% 24.40/4.40  | | 
% 24.40/4.40  | | Case 1:
% 24.40/4.40  | | | 
% 24.40/4.40  | | |   (92)  all_38_1 = 0
% 24.40/4.40  | | | 
% 24.40/4.40  | | | REDUCE: (18), (92) imply:
% 24.40/4.40  | | |   (93)  $false
% 24.40/4.40  | | | 
% 24.40/4.40  | | | CLOSE: (93) is inconsistent.
% 24.40/4.40  | | | 
% 24.40/4.40  | | Case 2:
% 24.40/4.40  | | | 
% 24.40/4.40  | | |   (94)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 24.40/4.40  | | |         (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 24.40/4.40  | | |           apart_point_and_line(all_38_6, all_38_2) = v1 &
% 24.40/4.40  | | |           distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0
% 24.40/4.40  | | |             | v1 = 0))
% 24.40/4.40  | | | 
% 24.40/4.40  | | | DELTA: instantiating (94) with fresh symbols all_90_0, all_90_1, all_90_2
% 24.40/4.40  | | |        gives:
% 24.40/4.40  | | |   (95)  apart_point_and_line(all_38_6, all_38_2) = all_90_0 &
% 24.40/4.40  | | |         apart_point_and_line(all_38_6, all_38_2) = all_90_1 &
% 24.40/4.40  | | |         distinct_lines(all_38_2, all_38_2) = all_90_2 & ( ~ (all_90_2 = 0)
% 24.40/4.40  | | |           | all_90_0 = 0 | all_90_1 = 0)
% 24.40/4.40  | | | 
% 24.40/4.40  | | | ALPHA: (95) implies:
% 24.40/4.40  | | |   (96)  apart_point_and_line(all_38_6, all_38_2) = all_90_1
% 24.40/4.40  | | |   (97)  apart_point_and_line(all_38_6, all_38_2) = all_90_0
% 24.40/4.40  | | | 
% 24.40/4.40  | | | BETA: splitting (45) gives:
% 24.40/4.40  | | | 
% 24.40/4.40  | | | Case 1:
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | |   (98)  all_38_0 = 0
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | | REDUCE: (19), (98) imply:
% 24.40/4.40  | | | |   (99)  $false
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | | CLOSE: (99) is inconsistent.
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | Case 2:
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | |   (100)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 24.40/4.40  | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 24.40/4.40  | | | |            apart_point_and_line(all_38_6, all_38_2) = v2 &
% 24.40/4.40  | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.40/4.40  | | | |            distinct_points(all_38_6, all_38_6) = v0 & ( ~ (v1 = 0) |  ~
% 24.40/4.40  | | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | | DELTA: instantiating (100) with fresh symbols all_95_0, all_95_1,
% 24.40/4.40  | | | |        all_95_2, all_95_3 gives:
% 24.40/4.40  | | | |   (101)  apart_point_and_line(all_38_6, all_38_2) = all_95_0 &
% 24.40/4.40  | | | |          apart_point_and_line(all_38_6, all_38_2) = all_95_1 &
% 24.40/4.40  | | | |          distinct_lines(all_38_2, all_38_2) = all_95_2 &
% 24.40/4.40  | | | |          distinct_points(all_38_6, all_38_6) = all_95_3 & ( ~ (all_95_2
% 24.40/4.40  | | | |              = 0) |  ~ (all_95_3 = 0) | all_95_0 = 0 | all_95_1 = 0)
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | | ALPHA: (101) implies:
% 24.40/4.40  | | | |   (102)  apart_point_and_line(all_38_6, all_38_2) = all_95_1
% 24.40/4.40  | | | |   (103)  apart_point_and_line(all_38_6, all_38_2) = all_95_0
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | | BETA: splitting (42) gives:
% 24.40/4.40  | | | | 
% 24.40/4.40  | | | | Case 1:
% 24.40/4.40  | | | | | 
% 24.40/4.40  | | | | |   (104)  all_38_1 = 0
% 24.40/4.40  | | | | | 
% 24.40/4.40  | | | | | REDUCE: (18), (104) imply:
% 24.40/4.40  | | | | |   (105)  $false
% 24.40/4.40  | | | | | 
% 24.40/4.40  | | | | | CLOSE: (105) is inconsistent.
% 24.40/4.40  | | | | | 
% 24.40/4.40  | | | | Case 2:
% 24.40/4.40  | | | | | 
% 24.40/4.40  | | | | |   (106)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 24.40/4.40  | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.40/4.40  | | | | |            apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.40/4.40  | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.40/4.40  | | | | |            distinct_points(all_38_7, all_38_7) = v0 & ( ~ (v1 = 0) | 
% 24.40/4.40  | | | | |              ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.40/4.40  | | | | | 
% 24.40/4.40  | | | | | DELTA: instantiating (106) with fresh symbols all_100_0, all_100_1,
% 24.40/4.40  | | | | |        all_100_2, all_100_3 gives:
% 24.40/4.41  | | | | |   (107)  apart_point_and_line(all_38_7, all_38_2) = all_100_0 &
% 24.40/4.41  | | | | |          apart_point_and_line(all_38_7, all_38_2) = all_100_1 &
% 24.40/4.41  | | | | |          distinct_lines(all_38_2, all_38_2) = all_100_2 &
% 24.40/4.41  | | | | |          distinct_points(all_38_7, all_38_7) = all_100_3 & ( ~
% 24.40/4.41  | | | | |            (all_100_2 = 0) |  ~ (all_100_3 = 0) | all_100_0 = 0 |
% 24.40/4.41  | | | | |            all_100_1 = 0)
% 24.40/4.41  | | | | | 
% 24.40/4.41  | | | | | ALPHA: (107) implies:
% 24.40/4.41  | | | | |   (108)  apart_point_and_line(all_38_7, all_38_2) = all_100_1
% 24.40/4.41  | | | | |   (109)  apart_point_and_line(all_38_7, all_38_2) = all_100_0
% 24.40/4.41  | | | | | 
% 24.40/4.41  | | | | | BETA: splitting (46) gives:
% 24.40/4.41  | | | | | 
% 24.40/4.41  | | | | | Case 1:
% 24.40/4.41  | | | | | | 
% 24.40/4.41  | | | | | |   (110)  all_38_0 = 0
% 24.40/4.41  | | | | | | 
% 24.40/4.41  | | | | | | REDUCE: (19), (110) imply:
% 24.40/4.41  | | | | | |   (111)  $false
% 24.40/4.41  | | | | | | 
% 24.40/4.41  | | | | | | CLOSE: (111) is inconsistent.
% 24.40/4.41  | | | | | | 
% 24.40/4.41  | | | | | Case 2:
% 24.40/4.41  | | | | | | 
% 24.40/4.41  | | | | | |   (112)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 24.40/4.41  | | | | | |           ? [v3: any] : (apart_point_and_line(all_38_6, all_38_2) =
% 24.40/4.41  | | | | | |            v2 & apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.40/4.41  | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.40/4.41  | | | | | |            distinct_points(all_38_6, all_38_7) = v0 & ( ~ (v1 = 0) |
% 24.40/4.41  | | | | | |               ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.40/4.41  | | | | | | 
% 24.40/4.41  | | | | | | BETA: splitting (112) gives:
% 24.40/4.41  | | | | | | 
% 24.40/4.41  | | | | | | Case 1:
% 24.40/4.41  | | | | | | | 
% 24.40/4.41  | | | | | | |   (113)  all_38_1 = 0
% 24.40/4.41  | | | | | | | 
% 24.40/4.41  | | | | | | | REDUCE: (18), (113) imply:
% 24.40/4.41  | | | | | | |   (114)  $false
% 24.40/4.41  | | | | | | | 
% 24.40/4.41  | | | | | | | CLOSE: (114) is inconsistent.
% 24.40/4.41  | | | | | | | 
% 24.40/4.41  | | | | | | Case 2:
% 24.40/4.41  | | | | | | | 
% 24.40/4.41  | | | | | | |   (115)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any]
% 24.40/4.41  | | | | | | |          : (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 24.40/4.41  | | | | | | |            apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.40/4.41  | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.40/4.41  | | | | | | |            distinct_points(all_38_6, all_38_7) = v0 & ( ~ (v1 = 0)
% 24.40/4.41  | | | | | | |              |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | DELTA: instantiating (115) with fresh symbols all_122_0,
% 24.98/4.41  | | | | | | |        all_122_1, all_122_2, all_122_3 gives:
% 24.98/4.41  | | | | | | |   (116)  apart_point_and_line(all_38_6, all_38_2) = all_122_1 &
% 24.98/4.41  | | | | | | |          apart_point_and_line(all_38_7, all_38_2) = all_122_0 &
% 24.98/4.41  | | | | | | |          distinct_lines(all_38_2, all_38_2) = all_122_2 &
% 24.98/4.41  | | | | | | |          distinct_points(all_38_6, all_38_7) = all_122_3 & ( ~
% 24.98/4.41  | | | | | | |            (all_122_2 = 0) |  ~ (all_122_3 = 0) | all_122_0 = 0 |
% 24.98/4.41  | | | | | | |            all_122_1 = 0)
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | ALPHA: (116) implies:
% 24.98/4.41  | | | | | | |   (117)  apart_point_and_line(all_38_7, all_38_2) = all_122_0
% 24.98/4.41  | | | | | | |   (118)  apart_point_and_line(all_38_6, all_38_2) = all_122_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (13) with 0, all_59_1, all_38_6,
% 24.98/4.41  | | | | | | |              all_38_7, simplifying with (27), (68) gives:
% 24.98/4.41  | | | | | | |   (119)  all_59_1 = 0
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (13) with all_59_1, all_71_1, all_38_6,
% 24.98/4.41  | | | | | | |              all_38_7, simplifying with (68), (85) gives:
% 24.98/4.41  | | | | | | |   (120)  all_71_1 = all_59_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (13) with all_49_1, all_71_1, all_38_6,
% 24.98/4.41  | | | | | | |              all_38_7, simplifying with (53), (85) gives:
% 24.98/4.41  | | | | | | |   (121)  all_71_1 = all_49_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_38_1, all_100_1,
% 24.98/4.41  | | | | | | |              all_38_2, all_38_7, simplifying with (30), (108)
% 24.98/4.41  | | | | | | |              gives:
% 24.98/4.41  | | | | | | |   (122)  all_100_1 = all_38_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_85_1, all_100_1,
% 24.98/4.41  | | | | | | |              all_38_2, all_38_7, simplifying with (90), (108)
% 24.98/4.41  | | | | | | |              gives:
% 24.98/4.41  | | | | | | |   (123)  all_100_1 = all_85_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_100_1, all_100_0,
% 24.98/4.41  | | | | | | |              all_38_2, all_38_7, simplifying with (108), (109)
% 24.98/4.41  | | | | | | |              gives:
% 24.98/4.41  | | | | | | |   (124)  all_100_0 = all_100_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_100_0, all_122_0,
% 24.98/4.41  | | | | | | |              all_38_2, all_38_7, simplifying with (109), (117)
% 24.98/4.41  | | | | | | |              gives:
% 24.98/4.41  | | | | | | |   (125)  all_122_0 = all_100_0
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_85_0, all_122_0,
% 24.98/4.41  | | | | | | |              all_38_2, all_38_7, simplifying with (91), (117)
% 24.98/4.41  | | | | | | |              gives:
% 24.98/4.41  | | | | | | |   (126)  all_122_0 = all_85_0
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_38_0, all_90_0, all_38_2,
% 24.98/4.41  | | | | | | |              all_38_6, simplifying with (31), (97) gives:
% 24.98/4.41  | | | | | | |   (127)  all_90_0 = all_38_0
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_90_0, all_95_1, all_38_2,
% 24.98/4.41  | | | | | | |              all_38_6, simplifying with (97), (102) gives:
% 24.98/4.41  | | | | | | |   (128)  all_95_1 = all_90_0
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_95_1, all_95_0, all_38_2,
% 24.98/4.41  | | | | | | |              all_38_6, simplifying with (102), (103) gives:
% 24.98/4.41  | | | | | | |   (129)  all_95_0 = all_95_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_95_0, all_122_1,
% 24.98/4.41  | | | | | | |              all_38_2, all_38_6, simplifying with (103), (118)
% 24.98/4.41  | | | | | | |              gives:
% 24.98/4.41  | | | | | | |   (130)  all_122_1 = all_95_0
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (15) with all_90_1, all_122_1,
% 24.98/4.41  | | | | | | |              all_38_2, all_38_6, simplifying with (96), (118)
% 24.98/4.41  | | | | | | |              gives:
% 24.98/4.41  | | | | | | |   (131)  all_122_1 = all_90_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.41  | | | | | | | GROUND_INST: instantiating (16) with all_61_1, all_63_1, all_38_8,
% 24.98/4.41  | | | | | | |              all_38_9, simplifying with (75), (79) gives:
% 24.98/4.41  | | | | | | |   (132)  all_63_1 = all_61_1
% 24.98/4.41  | | | | | | | 
% 24.98/4.42  | | | | | | | GROUND_INST: instantiating (16) with all_38_2, all_65_1, all_38_8,
% 24.98/4.42  | | | | | | |              all_38_9, simplifying with (32), (81) gives:
% 24.98/4.42  | | | | | | |   (133)  all_65_1 = all_38_2
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | GROUND_INST: instantiating (16) with all_63_1, all_65_1, all_38_8,
% 24.98/4.42  | | | | | | |              all_38_9, simplifying with (79), (81) gives:
% 24.98/4.42  | | | | | | |   (134)  all_65_1 = all_63_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | GROUND_INST: instantiating (16) with all_38_5, all_57_1, all_38_6,
% 24.98/4.42  | | | | | | |              all_38_7, simplifying with (33), (66) gives:
% 24.98/4.42  | | | | | | |   (135)  all_57_1 = all_38_5
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | GROUND_INST: instantiating (16) with all_57_1, all_67_1, all_38_6,
% 24.98/4.42  | | | | | | |              all_38_7, simplifying with (66), (83) gives:
% 24.98/4.42  | | | | | | |   (136)  all_67_1 = all_57_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | GROUND_INST: instantiating (16) with all_55_1, all_67_1, all_38_6,
% 24.98/4.42  | | | | | | |              all_38_7, simplifying with (63), (83) gives:
% 24.98/4.42  | | | | | | |   (137)  all_67_1 = all_55_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (125), (126) imply:
% 24.98/4.42  | | | | | | |   (138)  all_100_0 = all_85_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (138) implies:
% 24.98/4.42  | | | | | | |   (139)  all_100_0 = all_85_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (130), (131) imply:
% 24.98/4.42  | | | | | | |   (140)  all_95_0 = all_90_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (140) implies:
% 24.98/4.42  | | | | | | |   (141)  all_95_0 = all_90_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (124), (139) imply:
% 24.98/4.42  | | | | | | |   (142)  all_100_1 = all_85_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (142) implies:
% 24.98/4.42  | | | | | | |   (143)  all_100_1 = all_85_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (123), (143) imply:
% 24.98/4.42  | | | | | | |   (144)  all_85_0 = all_85_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (122), (143) imply:
% 24.98/4.42  | | | | | | |   (145)  all_85_0 = all_38_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (129), (141) imply:
% 24.98/4.42  | | | | | | |   (146)  all_95_1 = all_90_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (146) implies:
% 24.98/4.42  | | | | | | |   (147)  all_95_1 = all_90_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (128), (147) imply:
% 24.98/4.42  | | | | | | |   (148)  all_90_0 = all_90_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (148) implies:
% 24.98/4.42  | | | | | | |   (149)  all_90_0 = all_90_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (127), (149) imply:
% 24.98/4.42  | | | | | | |   (150)  all_90_1 = all_38_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (144), (145) imply:
% 24.98/4.42  | | | | | | |   (151)  all_85_1 = all_38_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (120), (121) imply:
% 24.98/4.42  | | | | | | |   (152)  all_59_1 = all_49_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (152) implies:
% 24.98/4.42  | | | | | | |   (153)  all_59_1 = all_49_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (136), (137) imply:
% 24.98/4.42  | | | | | | |   (154)  all_57_1 = all_55_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (154) implies:
% 24.98/4.42  | | | | | | |   (155)  all_57_1 = all_55_1
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (133), (134) imply:
% 24.98/4.42  | | | | | | |   (156)  all_63_1 = all_38_2
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (156) implies:
% 24.98/4.42  | | | | | | |   (157)  all_63_1 = all_38_2
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (132), (157) imply:
% 24.98/4.42  | | | | | | |   (158)  all_61_1 = all_38_2
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | SIMP: (158) implies:
% 24.98/4.42  | | | | | | |   (159)  all_61_1 = all_38_2
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (119), (153) imply:
% 24.98/4.42  | | | | | | |   (160)  all_49_1 = 0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | COMBINE_EQS: (135), (155) imply:
% 24.98/4.42  | | | | | | |   (161)  all_55_1 = all_38_5
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | REDUCE: (65), (135) imply:
% 24.98/4.42  | | | | | | |   (162)  apart_point_and_line(all_38_6, all_38_5) = all_57_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | REDUCE: (62), (161) imply:
% 24.98/4.42  | | | | | | |   (163)  apart_point_and_line(all_38_7, all_38_5) = all_55_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | REDUCE: (78), (157) imply:
% 24.98/4.42  | | | | | | |   (164)  apart_point_and_line(all_38_8, all_38_2) = all_63_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | REDUCE: (74), (159) imply:
% 24.98/4.42  | | | | | | |   (165)  apart_point_and_line(all_38_9, all_38_2) = all_61_0
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | BETA: splitting (70) gives:
% 24.98/4.42  | | | | | | | 
% 24.98/4.42  | | | | | | | Case 1:
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | |   (166)   ~ (all_59_0 = 0)
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | GROUND_INST: instantiating (15) with all_51_0, all_61_0,
% 24.98/4.42  | | | | | | | |              all_38_2, all_38_9, simplifying with (56), (165)
% 24.98/4.42  | | | | | | | |              gives:
% 24.98/4.42  | | | | | | | |   (167)  all_61_0 = all_51_0
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | GROUND_INST: instantiating (15) with all_53_0, all_63_0,
% 24.98/4.42  | | | | | | | |              all_38_2, all_38_8, simplifying with (58), (164)
% 24.98/4.42  | | | | | | | |              gives:
% 24.98/4.42  | | | | | | | |   (168)  all_63_0 = all_53_0
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | GROUND_INST: instantiating (15) with all_49_0, all_55_0,
% 24.98/4.42  | | | | | | | |              all_38_5, all_38_7, simplifying with (54), (163)
% 24.98/4.42  | | | | | | | |              gives:
% 24.98/4.42  | | | | | | | |   (169)  all_55_0 = all_49_0
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | GROUND_INST: instantiating (15) with all_59_0, all_57_0,
% 24.98/4.42  | | | | | | | |              all_38_5, all_38_6, simplifying with (69), (162)
% 24.98/4.42  | | | | | | | |              gives:
% 24.98/4.42  | | | | | | | |   (170)  all_59_0 = all_57_0
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | REDUCE: (77), (168) imply:
% 24.98/4.42  | | | | | | | |   (171)   ~ (all_53_0 = 0)
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | REDUCE: (72), (167) imply:
% 24.98/4.42  | | | | | | | |   (172)   ~ (all_51_0 = 0)
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | REDUCE: (166), (170) imply:
% 24.98/4.42  | | | | | | | |   (173)   ~ (all_57_0 = 0)
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | REDUCE: (60), (169) imply:
% 24.98/4.42  | | | | | | | |   (174)   ~ (all_49_0 = 0)
% 24.98/4.42  | | | | | | | | 
% 24.98/4.42  | | | | | | | | GROUND_INST: instantiating (7) with all_38_9, all_38_7,
% 24.98/4.42  | | | | | | | |              all_38_2, all_38_2, all_51_0, all_38_1, simplifying
% 24.98/4.42  | | | | | | | |              with (20), (22), (25), (30), (56) gives:
% 24.98/4.42  | | | | | | | |   (175)  all_51_0 = 0 | all_38_1 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.42  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.42  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.98/4.42  | | | | | | | |            apart_point_and_line(all_38_9, all_38_2) = v2 &
% 24.98/4.42  | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.98/4.42  | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~ (v1 =
% 24.98/4.42  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.42  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_8,
% 24.98/4.43  | | | | | | | |              all_38_2, all_38_2, all_38_1, all_53_0, simplifying
% 24.98/4.43  | | | | | | | |              with (21), (22), (25), (30), (58) gives:
% 24.98/4.43  | | | | | | | |   (176)  all_53_0 = 0 | all_38_1 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.43  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.43  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.98/4.43  | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v3 &
% 24.98/4.43  | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.98/4.43  | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~ (v1 =
% 24.98/4.43  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_7,
% 24.98/4.43  | | | | | | | |              all_38_2, all_38_2, all_53_0, all_38_1, simplifying
% 24.98/4.43  | | | | | | | |              with (21), (22), (25), (30), (58) gives:
% 24.98/4.43  | | | | | | | |   (177)  all_53_0 = 0 | all_38_1 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.43  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.43  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.98/4.43  | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v2 &
% 24.98/4.43  | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.98/4.43  | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~ (v1 =
% 24.98/4.43  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_8,
% 24.98/4.43  | | | | | | | |              all_38_2, all_38_2, all_53_0, all_53_0, simplifying
% 24.98/4.43  | | | | | | | |              with (21), (25), (58) gives:
% 24.98/4.43  | | | | | | | |   (178)  all_53_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 24.98/4.43  | | | | | | | |            any] :  ? [v3: any] : (apart_point_and_line(all_38_8,
% 24.98/4.43  | | | | | | | |              all_38_2) = v3 & apart_point_and_line(all_38_8,
% 24.98/4.43  | | | | | | | |              all_38_2) = v2 & distinct_lines(all_38_2, all_38_2)
% 24.98/4.43  | | | | | | | |            = v1 & distinct_points(all_38_8, all_38_8) = v0 & ( ~
% 24.98/4.43  | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_9,
% 24.98/4.43  | | | | | | | |              all_38_2, all_38_2, all_53_0, all_51_0, simplifying
% 24.98/4.43  | | | | | | | |              with (20), (21), (25), (56), (58) gives:
% 24.98/4.43  | | | | | | | |   (179)  all_53_0 = 0 | all_51_0 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.43  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.43  | | | | | | | |          (apart_point_and_line(all_38_8, all_38_2) = v2 &
% 24.98/4.43  | | | | | | | |            apart_point_and_line(all_38_9, all_38_2) = v3 &
% 24.98/4.43  | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 24.98/4.43  | | | | | | | |            distinct_points(all_38_8, all_38_9) = v0 & ( ~ (v1 =
% 24.98/4.43  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_6,
% 24.98/4.43  | | | | | | | |              all_38_5, all_38_2, all_49_0, all_38_0, simplifying
% 24.98/4.43  | | | | | | | |              with (22), (23), (24), (25), (31), (54) gives:
% 24.98/4.43  | | | | | | | |   (180)  all_49_0 = 0 | all_38_0 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.43  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.43  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_5) = v3 &
% 24.98/4.43  | | | | | | | |            apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.98/4.43  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 24.98/4.43  | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~ (v1 =
% 24.98/4.43  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (5) with all_38_7, all_38_6,
% 24.98/4.43  | | | | | | | |              all_38_5, all_38_2, all_49_0, all_38_1, simplifying
% 24.98/4.43  | | | | | | | |              with (22), (23), (24), (25), (27), (30), (54)
% 24.98/4.43  | | | | | | | |              gives:
% 24.98/4.43  | | | | | | | |   (181)  all_49_0 = 0 | all_38_1 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.43  | | | | | | | |            any] :  ? [v2: any] : (apart_point_and_line(all_38_6,
% 24.98/4.43  | | | | | | | |              all_38_2) = v2 & apart_point_and_line(all_38_6,
% 24.98/4.43  | | | | | | | |              all_38_5) = v1 & distinct_lines(all_38_5, all_38_2)
% 24.98/4.43  | | | | | | | |            = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (5) with all_38_7, all_38_6,
% 24.98/4.43  | | | | | | | |              all_38_5, all_38_5, all_49_0, all_49_0, simplifying
% 24.98/4.43  | | | | | | | |              with (22), (23), (24), (27), (54) gives:
% 24.98/4.43  | | | | | | | |   (182)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 24.98/4.43  | | | | | | | |            any] : (apart_point_and_line(all_38_6, all_38_5) = v2
% 24.98/4.43  | | | | | | | |            & apart_point_and_line(all_38_6, all_38_5) = v1 &
% 24.98/4.43  | | | | | | | |            distinct_lines(all_38_5, all_38_5) = v0 & ( ~ (v0 =
% 24.98/4.43  | | | | | | | |                0) | v2 = 0 | v1 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_7,
% 24.98/4.43  | | | | | | | |              all_38_5, all_38_5, all_49_0, all_49_0, simplifying
% 24.98/4.43  | | | | | | | |              with (22), (24), (54) gives:
% 24.98/4.43  | | | | | | | |   (183)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 24.98/4.43  | | | | | | | |            any] :  ? [v3: any] : (apart_point_and_line(all_38_7,
% 24.98/4.43  | | | | | | | |              all_38_5) = v3 & apart_point_and_line(all_38_7,
% 24.98/4.43  | | | | | | | |              all_38_5) = v2 & distinct_lines(all_38_5, all_38_5)
% 24.98/4.43  | | | | | | | |            = v1 & distinct_points(all_38_7, all_38_7) = v0 & ( ~
% 24.98/4.43  | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_7,
% 24.98/4.43  | | | | | | | |              all_38_2, all_38_5, all_53_0, all_49_0, simplifying
% 24.98/4.43  | | | | | | | |              with (21), (22), (24), (25), (54), (58) gives:
% 24.98/4.43  | | | | | | | |   (184)  all_53_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.43  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.43  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.98/4.43  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 24.98/4.43  | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 24.98/4.43  | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~ (v1 =
% 24.98/4.43  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.43  | | | | | | | | 
% 24.98/4.43  | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_8,
% 24.98/4.43  | | | | | | | |              all_38_5, all_38_2, all_49_0, all_53_0, simplifying
% 24.98/4.43  | | | | | | | |              with (21), (22), (24), (25), (54), (58) gives:
% 24.98/4.44  | | | | | | | |   (185)  all_53_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.44  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.44  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.98/4.44  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 24.98/4.44  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 24.98/4.44  | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~ (v1 =
% 24.98/4.44  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.44  | | | | | | | | 
% 24.98/4.44  | | | | | | | | GROUND_INST: instantiating (6) with all_38_8, all_38_7,
% 24.98/4.44  | | | | | | | |              all_38_5, all_38_2, all_53_0, all_49_0, simplifying
% 24.98/4.44  | | | | | | | |              with (21), (22), (24), (25), (54), (58) gives:
% 24.98/4.44  | | | | | | | |   (186)  all_53_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.44  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.44  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 24.98/4.44  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 24.98/4.44  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 24.98/4.44  | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~ (v1 =
% 24.98/4.44  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.44  | | | | | | | | 
% 24.98/4.44  | | | | | | | | GROUND_INST: instantiating (6) with all_38_7, all_38_8,
% 24.98/4.44  | | | | | | | |              all_38_2, all_38_5, all_49_0, all_53_0, simplifying
% 24.98/4.44  | | | | | | | |              with (21), (22), (24), (25), (54), (58) gives:
% 24.98/4.44  | | | | | | | |   (187)  all_53_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 24.98/4.44  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 24.98/4.44  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 24.98/4.44  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 24.98/4.44  | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 24.98/4.44  | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~ (v1 =
% 24.98/4.44  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 24.98/4.44  | | | | | | | | 
% 24.98/4.44  | | | | | | | | GROUND_INST: instantiating (7) with all_38_9, all_38_7,
% 24.98/4.44  | | | | | | | |              all_38_2, all_38_5, all_51_0, all_49_0, simplifying
% 24.98/4.44  | | | | | | | |              with (20), (22), (24), (25), (54), (56) gives:
% 25.24/4.44  | | | | | | | |   (188)  all_51_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.44  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.44  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.44  | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.24/4.44  | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.44  | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~ (v1 =
% 25.24/4.44  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.44  | | | | | | | | 
% 25.24/4.44  | | | | | | | | GROUND_INST: instantiating (6) with all_38_9, all_38_7,
% 25.24/4.44  | | | | | | | |              all_38_5, all_38_2, all_51_0, all_49_0, simplifying
% 25.24/4.44  | | | | | | | |              with (20), (22), (24), (25), (54), (56) gives:
% 25.24/4.44  | | | | | | | |   (189)  all_51_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.44  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.44  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.44  | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.24/4.44  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.44  | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~ (v1 =
% 25.24/4.44  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.44  | | | | | | | | 
% 25.24/4.44  | | | | | | | | GROUND_INST: instantiating (6) with all_38_7, all_38_9,
% 25.24/4.44  | | | | | | | |              all_38_2, all_38_5, all_49_0, all_51_0, simplifying
% 25.24/4.44  | | | | | | | |              with (20), (22), (24), (25), (54), (56) gives:
% 25.24/4.44  | | | | | | | |   (190)  all_51_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.44  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.44  | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.24/4.44  | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v3 &
% 25.24/4.44  | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.44  | | | | | | | |            distinct_points(all_38_7, all_38_9) = v0 & ( ~ (v1 =
% 25.24/4.44  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.44  | | | | | | | | 
% 25.24/4.44  | | | | | | | | GROUND_INST: instantiating (8) with all_38_7, all_38_6,
% 25.24/4.44  | | | | | | | |              all_38_2, all_38_5, all_38_0, all_57_0, simplifying
% 25.24/4.44  | | | | | | | |              with (22), (23), (24), (25), (27), (31), (162)
% 25.24/4.44  | | | | | | | |              gives:
% 25.24/4.44  | | | | | | | |   (191)  all_57_0 = 0 | all_38_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.44  | | | | | | | |            any] :  ? [v2: any] : (apart_point_and_line(all_38_7,
% 25.24/4.44  | | | | | | | |              all_38_2) = v1 & apart_point_and_line(all_38_7,
% 25.24/4.44  | | | | | | | |              all_38_5) = v2 & distinct_lines(all_38_2, all_38_5)
% 25.24/4.44  | | | | | | | |            = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 25.24/4.44  | | | | | | | | 
% 25.24/4.44  | | | | | | | | GROUND_INST: instantiating (8) with all_38_7, all_38_6,
% 25.24/4.44  | | | | | | | |              all_38_5, all_38_2, all_57_0, all_38_0, simplifying
% 25.24/4.44  | | | | | | | |              with (22), (23), (24), (25), (27), (31), (162)
% 25.24/4.44  | | | | | | | |              gives:
% 25.24/4.44  | | | | | | | |   (192)  all_57_0 = 0 | all_38_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.44  | | | | | | | |            any] :  ? [v2: any] : (apart_point_and_line(all_38_7,
% 25.24/4.44  | | | | | | | |              all_38_2) = v2 & apart_point_and_line(all_38_7,
% 25.24/4.44  | | | | | | | |              all_38_5) = v1 & distinct_lines(all_38_5, all_38_2)
% 25.24/4.44  | | | | | | | |            = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 25.24/4.44  | | | | | | | | 
% 25.24/4.44  | | | | | | | | GROUND_INST: instantiating (10) with all_38_6, all_38_5,
% 25.24/4.44  | | | | | | | |              all_38_2, all_57_0, all_38_0, simplifying with
% 25.24/4.44  | | | | | | | |              (23), (24), (25), (31), (162) gives:
% 25.24/4.44  | | | | | | | |   (193)  all_57_0 = 0 | all_38_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.44  | | | | | | | |            any] : (convergent_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.44  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~ (v0 =
% 25.24/4.44  | | | | | | | |                0) | v1 = 0))
% 25.24/4.44  | | | | | | | | 
% 25.24/4.44  | | | | | | | | GROUND_INST: instantiating (6) with all_38_7, all_38_6,
% 25.24/4.44  | | | | | | | |              all_38_5, all_38_2, all_38_1, all_57_0, simplifying
% 25.24/4.44  | | | | | | | |              with (22), (23), (24), (25), (30), (162) gives:
% 25.24/4.45  | | | | | | | |   (194)  all_57_0 = 0 | all_38_1 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | GROUND_INST: instantiating (7) with all_38_6, all_38_7,
% 25.24/4.45  | | | | | | | |              all_38_5, all_38_5, all_57_0, all_49_0, simplifying
% 25.24/4.45  | | | | | | | |              with (22), (23), (24), (54), (162) gives:
% 25.24/4.45  | | | | | | | |   (195)  all_57_0 = 0 | all_49_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_5) = v2 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v3 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_5, all_38_5) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_6, all_38_7) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_6,
% 25.24/4.45  | | | | | | | |              all_38_2, all_38_5, all_53_0, all_57_0, simplifying
% 25.24/4.45  | | | | | | | |              with (21), (23), (24), (25), (58), (162) gives:
% 25.24/4.45  | | | | | | | |   (196)  all_57_0 = 0 | all_53_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_8, all_38_6) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | GROUND_INST: instantiating (7) with all_38_6, all_38_8,
% 25.24/4.45  | | | | | | | |              all_38_5, all_38_2, all_57_0, all_53_0, simplifying
% 25.24/4.45  | | | | | | | |              with (21), (23), (24), (25), (58), (162) gives:
% 25.24/4.45  | | | | | | | |   (197)  all_57_0 = 0 | all_53_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_6, all_38_8) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | GROUND_INST: instantiating (6) with all_38_8, all_38_6,
% 25.24/4.45  | | | | | | | |              all_38_5, all_38_2, all_53_0, all_57_0, simplifying
% 25.24/4.45  | | | | | | | |              with (21), (23), (24), (25), (58), (162) gives:
% 25.24/4.45  | | | | | | | |   (198)  all_57_0 = 0 | all_53_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_8, all_38_6) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | GROUND_INST: instantiating (6) with all_38_6, all_38_8,
% 25.24/4.45  | | | | | | | |              all_38_2, all_38_5, all_57_0, all_53_0, simplifying
% 25.24/4.45  | | | | | | | |              with (21), (23), (24), (25), (58), (162) gives:
% 25.24/4.45  | | | | | | | |   (199)  all_57_0 = 0 | all_53_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_6, all_38_8) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | GROUND_INST: instantiating (7) with all_38_6, all_38_9,
% 25.24/4.45  | | | | | | | |              all_38_5, all_38_2, all_57_0, all_51_0, simplifying
% 25.24/4.45  | | | | | | | |              with (20), (23), (24), (25), (56), (162) gives:
% 25.24/4.45  | | | | | | | |   (200)  all_57_0 = 0 | all_51_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v3 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_6, all_38_9) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | GROUND_INST: instantiating (6) with all_38_9, all_38_6,
% 25.24/4.45  | | | | | | | |              all_38_5, all_38_2, all_51_0, all_57_0, simplifying
% 25.24/4.45  | | | | | | | |              with (20), (23), (24), (25), (56), (162) gives:
% 25.24/4.45  | | | | | | | |   (201)  all_57_0 = 0 | all_51_0 = 0 |  ? [v0: any] :  ? [v1:
% 25.24/4.45  | | | | | | | |            any] :  ? [v2: any] :  ? [v3: any] :
% 25.24/4.45  | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.45  | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.24/4.45  | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.45  | | | | | | | |            distinct_points(all_38_9, all_38_6) = v0 & ( ~ (v1 =
% 25.24/4.45  | | | | | | | |                0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | BETA: splitting (34) gives:
% 25.24/4.45  | | | | | | | | 
% 25.24/4.45  | | | | | | | | Case 1:
% 25.24/4.45  | | | | | | | | | 
% 25.24/4.45  | | | | | | | | |   (202)  all_38_3 = 0
% 25.24/4.45  | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | REDUCE: (29), (202) imply:
% 25.24/4.45  | | | | | | | | |   (203)  apart_point_and_line(all_38_8, all_38_5) = 0
% 25.24/4.45  | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | BETA: splitting (192) gives:
% 25.24/4.45  | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | Case 1:
% 25.24/4.45  | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | |   (204)  all_57_0 = 0
% 25.24/4.45  | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | REDUCE: (173), (204) imply:
% 25.24/4.45  | | | | | | | | | |   (205)  $false
% 25.24/4.45  | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | CLOSE: (205) is inconsistent.
% 25.24/4.45  | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | Case 2:
% 25.24/4.45  | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | |   (206)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.45  | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_7,
% 25.24/4.45  | | | | | | | | | |              all_38_2) = v2 & apart_point_and_line(all_38_7,
% 25.24/4.45  | | | | | | | | | |              all_38_5) = v1 & distinct_lines(all_38_5,
% 25.24/4.45  | | | | | | | | | |              all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 =
% 25.24/4.45  | | | | | | | | | |              0))
% 25.24/4.45  | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | BETA: splitting (191) gives:
% 25.24/4.45  | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | Case 1:
% 25.24/4.45  | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | |   (207)  all_57_0 = 0
% 25.24/4.45  | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | REDUCE: (173), (207) imply:
% 25.24/4.45  | | | | | | | | | | |   (208)  $false
% 25.24/4.45  | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | CLOSE: (208) is inconsistent.
% 25.24/4.45  | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | Case 2:
% 25.24/4.45  | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | |   (209)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.45  | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_7,
% 25.24/4.45  | | | | | | | | | | |              all_38_2) = v1 &
% 25.24/4.45  | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.24/4.45  | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v0 & ( ~
% 25.24/4.45  | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.24/4.45  | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | BETA: splitting (198) gives:
% 25.24/4.45  | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | Case 1:
% 25.24/4.45  | | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | |   (210)  all_57_0 = 0
% 25.24/4.45  | | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | | REDUCE: (173), (210) imply:
% 25.24/4.45  | | | | | | | | | | | |   (211)  $false
% 25.24/4.45  | | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 25.24/4.45  | | | | | | | | | | | | 
% 25.24/4.45  | | | | | | | | | | | Case 2:
% 25.24/4.45  | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | |   (212)  all_53_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.46  | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.24/4.46  | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.46  | | | | | | | | | | | |            distinct_points(all_38_8, all_38_6) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | BETA: splitting (199) gives:
% 25.24/4.46  | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | |   (213)  all_57_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | REDUCE: (173), (213) imply:
% 25.24/4.46  | | | | | | | | | | | | |   (214)  $false
% 25.24/4.46  | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | CLOSE: (214) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | |   (215)  all_53_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 25.24/4.46  | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.24/4.46  | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.46  | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_8) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | BETA: splitting (196) gives:
% 25.24/4.46  | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | |   (216)  all_57_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | REDUCE: (173), (216) imply:
% 25.24/4.46  | | | | | | | | | | | | | |   (217)  $false
% 25.24/4.46  | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | |   (218)  all_53_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.46  | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.24/4.46  | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_6) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 25.24/4.46  | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | |   (219)  all_57_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | REDUCE: (173), (219) imply:
% 25.24/4.46  | | | | | | | | | | | | | | |   (220)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | CLOSE: (220) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | |   (221)  all_53_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 25.24/4.46  | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.24/4.46  | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_8) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 25.24/4.46  | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | |   (222)  all_57_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | REDUCE: (173), (222) imply:
% 25.24/4.46  | | | | | | | | | | | | | | | |   (223)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | |   (224)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :
% 25.24/4.46  | | | | | | | | | | | | | | | |          (convergent_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | | | |              (v0 = 0) | v1 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 25.24/4.46  | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | |   (225)  all_57_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | REDUCE: (173), (225) imply:
% 25.24/4.46  | | | | | | | | | | | | | | | | |   (226)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | |   (227)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_5) = v2 &
% 25.24/4.46  | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v3 &
% 25.24/4.46  | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_5) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_7) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 25.24/4.46  | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | |   (228)  all_57_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | REDUCE: (173), (228) imply:
% 25.24/4.46  | | | | | | | | | | | | | | | | | |   (229)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | |   (230)  all_51_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_6) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |   (231)  all_57_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | REDUCE: (173), (231) imply:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |   (232)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | CLOSE: (232) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |   (233)  all_51_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v3 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_9) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |   (234)  all_51_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (234) imply:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |   (235)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |   (236)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v3 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_9) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |   (237)  all_53_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (237) imply:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |   (238)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | CLOSE: (238) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |   (239)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_8,
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v2 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_8) = v0 & ( ~
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (239) with fresh symbols all_245_0,
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |        all_245_1, all_245_2, all_245_3 gives:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |   (240)  apart_point_and_line(all_38_8, all_38_2) =
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |          all_245_0 & apart_point_and_line(all_38_8,
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_245_1 & distinct_lines(all_38_2,
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_245_2 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_8, all_38_8) = all_245_3 &
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_245_2 = 0) |  ~ (all_245_3 = 0) |
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |            all_245_0 = 0 | all_245_1 = 0)
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |   (241)  apart_point_and_line(all_38_8, all_38_2) =
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |          all_245_1
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |   (242)  apart_point_and_line(all_38_8, all_38_2) =
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | |          all_245_0
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | |   (243)  all_49_0 = 0
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (243) imply:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | |   (244)  $false
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (244) is inconsistent.
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.46  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |   (245)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |              all_38_5) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_5) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_7) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (245) with fresh symbols all_260_0,
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |        all_260_1, all_260_2, all_260_3 gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |   (246)  apart_point_and_line(all_38_7, all_38_5) =
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |          all_260_0 & apart_point_and_line(all_38_7,
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_260_1 & distinct_lines(all_38_5,
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_260_2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_7) = all_260_3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_260_2 = 0) |  ~ (all_260_3 = 0) |
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |            all_260_0 = 0 | all_260_1 = 0)
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |   (247)  apart_point_and_line(all_38_7, all_38_5) =
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | |          all_260_1
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_53_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (248) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |   (249)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (249) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_51_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_8, all_38_2) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_2) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_9) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_51_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (251) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |   (252)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_2) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_53_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (254) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (255) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_53_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (257) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_53_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (260) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_53_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (263) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (264) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_53_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (266) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (267) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_57_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (269) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (270) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_53_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (272) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (273) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_49_0 = 0
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (275) imply:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  $false
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_5) = v3 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_51_0 = 0
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (278) imply:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  $false
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent.
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_51_0 = 0
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (281) imply:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  $false
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (282) is inconsistent.
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v3 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_38_0 = 0
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (284) imply:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  $false
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent.
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v1 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (286) with fresh symbols all_376_0,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_376_1, all_376_2 gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  apart_point_and_line(all_38_7, all_38_2) =
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_376_0 & apart_point_and_line(all_38_7,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_376_1 & distinct_lines(all_38_5,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_376_2 & ( ~ (all_376_2 = 0) |
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_376_0 = 0 | all_376_1 = 0)
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  distinct_lines(all_38_5, all_38_2) = all_376_2
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  apart_point_and_line(all_38_7, all_38_5) =
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_376_1
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  apart_point_and_line(all_38_7, all_38_2) =
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_376_0
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)   ~ (all_376_2 = 0) | all_376_0 = 0 | all_376_1 = 0
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_38_0 = 0
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (292) imply:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  $false
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v1 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v0 & ( ~
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (294) with fresh symbols all_381_0,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_381_1, all_381_2 gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  apart_point_and_line(all_38_7, all_38_2) =
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_381_1 & apart_point_and_line(all_38_7,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_381_0 & distinct_lines(all_38_2,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_381_2 & ( ~ (all_381_2 = 0) |
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_381_0 = 0 | all_381_1 = 0)
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  apart_point_and_line(all_38_7, all_38_2) =
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_381_1
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_53_0 = 0
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (297) imply:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  $false
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (298) is inconsistent.
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_6) = v0 & ( ~
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (299) with fresh symbols all_386_0,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_386_1, all_386_2, all_386_3 gives:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  apart_point_and_line(all_38_6, all_38_2) =
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_386_0 & apart_point_and_line(all_38_8,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_386_1 & distinct_lines(all_38_5,
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_386_2 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_8, all_38_6) = all_386_3 &
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_386_2 = 0) |  ~ (all_386_3 = 0) |
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_386_0 = 0 | all_386_1 = 0)
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 25.24/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  distinct_lines(all_38_5, all_38_2) = all_386_2
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_386_1
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_53_0 = 0
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (303) imply:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  $false
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent.
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_8) = v0 & ( ~
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (305) with fresh symbols all_391_0,
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_391_1, all_391_2, all_391_3 gives:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_391_1 & apart_point_and_line(all_38_8,
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_391_0 & distinct_lines(all_38_2,
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_391_2 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_6, all_38_8) = all_391_3 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_391_2 = 0) |  ~ (all_391_3 = 0) |
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_391_0 = 0 | all_391_1 = 0)
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_391_0
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_53_0 = 0
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (308) imply:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  $false
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (309) is inconsistent.
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_6) = v0 & ( ~
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (310) with fresh symbols all_396_0,
% 25.45/4.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_396_1, all_396_2, all_396_3 gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_396_0 & apart_point_and_line(all_38_8,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_396_1 & distinct_lines(all_38_2,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_396_2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_8, all_38_6) = all_396_3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_396_2 = 0) |  ~ (all_396_3 = 0) |
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_396_0 = 0 | all_396_1 = 0)
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_396_1
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_53_0 = 0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (313) imply:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  $false
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent.
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_8) = v0 & ( ~
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (315) with fresh symbols all_401_0,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_401_1, all_401_2, all_401_3 gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_401_1 & apart_point_and_line(all_38_8,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_401_0 & distinct_lines(all_38_5,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_401_2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_6, all_38_8) = all_401_3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_401_2 = 0) |  ~ (all_401_3 = 0) |
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_401_0 = 0 | all_401_1 = 0)
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  distinct_lines(all_38_5, all_38_2) = all_401_2
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_401_0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_38_0 = 0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (319) imply:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  $false
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)   ? [v0: any] :  ? [v1: any] :
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (convergent_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v1 = 0))
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (321) with fresh symbols all_406_0,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_406_1 gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  convergent_lines(all_38_5, all_38_2) = all_406_0 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_lines(all_38_5, all_38_2) = all_406_1 & (
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_406_1 = 0) | all_406_0 = 0)
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  distinct_lines(all_38_5, all_38_2) = all_406_1
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_49_0 = 0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (324) imply:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  $false
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (325) is inconsistent.
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5) = v2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_5) = v1 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_7) = v0 & ( ~
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (326) with fresh symbols all_411_0,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_411_1, all_411_2, all_411_3 gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_411_1 & apart_point_and_line(all_38_7,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_411_0 & distinct_lines(all_38_5,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_411_2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_6, all_38_7) = all_411_3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_411_2 = 0) |  ~ (all_411_3 = 0) |
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_411_0 = 0 | all_411_1 = 0)
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  apart_point_and_line(all_38_7, all_38_5) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_411_0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_51_0 = 0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (329) imply:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  $false
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (330) is inconsistent.
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_6) = v0 & ( ~
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (331) with fresh symbols all_426_0,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_426_1, all_426_2, all_426_3 gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_426_0 & apart_point_and_line(all_38_9,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_426_1 & distinct_lines(all_38_5,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_426_2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_9, all_38_6) = all_426_3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_426_2 = 0) |  ~ (all_426_3 = 0) |
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_426_0 = 0 | all_426_1 = 0)
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  distinct_lines(all_38_5, all_38_2) = all_426_2
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_51_0 = 0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (334) imply:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  $false
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (335) is inconsistent.
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_6, all_38_9) = v0 & ( ~
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (336) with fresh symbols all_431_0,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_431_1, all_431_2, all_431_3 gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_431_1 & apart_point_and_line(all_38_9,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_431_0 & distinct_lines(all_38_5,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_431_2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_6, all_38_9) = all_431_3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_431_2 = 0) |  ~ (all_431_3 = 0) |
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_431_0 = 0 | all_431_1 = 0)
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  distinct_lines(all_38_5, all_38_2) = all_431_2
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_49_0 = 0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (339) imply:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  $false
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (340) is inconsistent.
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_9) = v0 & ( ~
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (341) with fresh symbols all_436_0,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_436_1, all_436_2, all_436_3 gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_436_1 & apart_point_and_line(all_38_9,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_436_0 & distinct_lines(all_38_2,
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_436_2 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_9) = all_436_3 &
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_436_2 = 0) |  ~ (all_436_3 = 0) |
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_436_0 = 0 | all_436_1 = 0)
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_436_1
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_51_0 = 0
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (344) imply:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  $false
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (345) is inconsistent.
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_8,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_2) = v3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_9) = v0 & ( ~
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (346) with fresh symbols all_442_0,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_442_1, all_442_2, all_442_3 gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  apart_point_and_line(all_38_8, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_442_1 & apart_point_and_line(all_38_9,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_442_0 & distinct_lines(all_38_2,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_442_2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_8, all_38_9) = all_442_3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_442_2 = 0) |  ~ (all_442_3 = 0) |
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_442_0 = 0 | all_442_1 = 0)
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  apart_point_and_line(all_38_8, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_442_1
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_38_1 = 0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (349) imply:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  $false
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (350) is inconsistent.
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_2) = v2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (351) with fresh symbols all_447_0,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_447_1, all_447_2, all_447_3 gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_447_0 & apart_point_and_line(all_38_9,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_447_1 & distinct_lines(all_38_2,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_447_2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_9, all_38_7) = all_447_3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_447_2 = 0) |  ~ (all_447_3 = 0) |
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_447_0 = 0 | all_447_1 = 0)
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_447_0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_38_1 = 0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (354) imply:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  $false
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (355) is inconsistent.
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (356) with fresh symbols all_452_0,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_452_1, all_452_2, all_452_3 gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_452_0 & apart_point_and_line(all_38_8,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_452_1 & distinct_lines(all_38_2,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_452_2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_8, all_38_7) = all_452_3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_452_2 = 0) |  ~ (all_452_3 = 0) |
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_452_0 = 0 | all_452_1 = 0)
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  apart_point_and_line(all_38_8, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_452_1
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_452_0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_38_1 = 0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (360) imply:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  $false
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent.
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v1 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (362) with fresh symbols all_457_0,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_457_1, all_457_2, all_457_3 gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_457_1 & apart_point_and_line(all_38_8,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_457_0 & distinct_lines(all_38_2,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_457_2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_8) = all_457_3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_457_2 = 0) |  ~ (all_457_3 = 0) |
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_457_0 = 0 | all_457_1 = 0)
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  apart_point_and_line(all_38_8, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_457_0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_457_1
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_49_0 = 0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (366) imply:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  $false
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (368) with fresh symbols all_462_0,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_462_1, all_462_2, all_462_3 gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_462_1 & apart_point_and_line(all_38_8,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_462_0 & distinct_lines(all_38_5,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_462_2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_8) = all_462_3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_462_2 = 0) |  ~ (all_462_3 = 0) |
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_462_0 = 0 | all_462_1 = 0)
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  distinct_lines(all_38_5, all_38_2) = all_462_2
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_462_0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_462_1
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_49_0 = 0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (373) imply:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  $false
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (374) is inconsistent.
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (375) with fresh symbols all_467_0,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_467_1, all_467_2, all_467_3 gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_467_1 & apart_point_and_line(all_38_8,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_467_0 & distinct_lines(all_38_2,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_467_2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_8) = all_467_3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_467_2 = 0) |  ~ (all_467_3 = 0) |
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_467_0 = 0 | all_467_1 = 0)
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_467_0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_467_1
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_49_0 = 0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (379) imply:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  $false
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (381) with fresh symbols all_472_0,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_472_1, all_472_2, all_472_3 gives:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_472_0 & apart_point_and_line(all_38_8,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_472_1 & distinct_lines(all_38_2,
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_472_2 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_8, all_38_7) = all_472_3 &
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_472_2 = 0) |  ~ (all_472_3 = 0) |
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_472_0 = 0 | all_472_1 = 0)
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_472_1
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_472_0
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_49_0 = 0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (385) imply:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  $false
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (386) is inconsistent.
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_5) = v2 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_8, all_38_7) = v0 & ( ~
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (387) with fresh symbols all_477_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_477_1, all_477_2, all_477_3 gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_477_0 & apart_point_and_line(all_38_8,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_477_1 & distinct_lines(all_38_5,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_477_2 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_8, all_38_7) = all_477_3 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_477_2 = 0) |  ~ (all_477_3 = 0) |
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_477_0 = 0 | all_477_1 = 0)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  distinct_lines(all_38_5, all_38_2) = all_477_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  apart_point_and_line(all_38_8, all_38_5) =
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_477_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_477_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_49_0 = 0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (392) imply:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  $false
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (393) is inconsistent.
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_5) = v1 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (394) with fresh symbols all_482_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_482_1, all_482_2, all_482_3 gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_482_0 & apart_point_and_line(all_38_9,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_482_1 & distinct_lines(all_38_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_482_2 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_9, all_38_7) = all_482_3 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_482_2 = 0) |  ~ (all_482_3 = 0) |
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_482_0 = 0 | all_482_1 = 0)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (395) implies:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_482_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_49_0 = 0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (397) imply:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  $false
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent.
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_9, all_38_5) = v2 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_9, all_38_7) = v0 & ( ~
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (399) with fresh symbols all_487_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_487_1, all_487_2, all_487_3 gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_487_0 & apart_point_and_line(all_38_9,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_487_1 & distinct_lines(all_38_5,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_487_2 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_9, all_38_7) = all_487_3 &
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_487_2 = 0) |  ~ (all_487_3 = 0) |
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_487_0 = 0 | all_487_1 = 0)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (400) implies:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  distinct_lines(all_38_5, all_38_2) = all_487_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  apart_point_and_line(all_38_7, all_38_2) =
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_487_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_406_1, all_431_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (323), (338)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_431_2 = all_406_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_386_2, all_431_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (301), (338)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_431_2 = all_386_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_431_2, all_462_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (338), (370)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_462_2 = all_431_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_431_2, all_477_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (338), (389)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_477_2 = all_431_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_401_2, all_477_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (317), (389)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_477_2 = all_401_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_376_2, all_477_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (288), (389)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_477_2 = all_376_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_462_2, all_487_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (370), (401)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_487_2 = all_462_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_426_2, all_487_2,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (333), (401)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_487_2 = all_426_2
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_386_1, all_391_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_8, simplifying with (302), (307)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  all_391_0 = all_386_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_462_0, all_38_5,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_8, simplifying with (203), (371) gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_462_0 = 0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_462_0, all_467_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_8, simplifying with (371), (377)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_467_0 = all_462_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_401_0, all_467_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_8, simplifying with (318), (377)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_467_0 = all_401_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_472_1, all_477_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_8, simplifying with (383), (390)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_477_1 = all_472_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_462_0, all_477_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_8, simplifying with (371), (390)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_477_1 = all_462_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_396_1, all_477_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_8, simplifying with (312), (390)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_477_1 = all_396_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_391_0, all_477_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_8, simplifying with (307), (390)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_477_1 = all_391_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_53_0, all_442_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_8, simplifying with (58), (348)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_442_1 = all_53_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_245_0, all_442_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_8, simplifying with (242), (348)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_442_1 = all_245_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_245_0, all_452_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_8, simplifying with (242), (358)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_452_1 = all_245_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_452_1, all_457_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_8, simplifying with (358), (364)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_457_0 = all_452_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_245_1, all_457_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_8, simplifying with (241), (364)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  all_457_0 = all_245_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_49_0, all_376_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_7, simplifying with (54), (289)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_376_1 = all_49_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_376_1, all_411_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_7, simplifying with (289), (328)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_411_0 = all_376_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_260_1, all_411_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_7, simplifying with (247), (328)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_411_0 = all_260_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_38_1, all_436_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (30), (343)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_436_1 = all_38_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_436_1, all_452_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (343), (359)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_452_0 = all_436_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_452_0, all_457_1,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (359), (365)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_457_1 = all_452_0
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_462_1, all_472_0,
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (372), (384)
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_472_0 = all_462_1
% 25.45/4.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_457_1, all_472_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (365), (384)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_472_0 = all_457_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_472_0, all_477_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (384), (391)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_477_0 = all_472_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_467_1, all_482_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (378), (396)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_482_0 = all_467_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_447_0, all_482_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (353), (396)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_482_0 = all_447_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_436_1, all_482_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (343), (396)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_482_0 = all_436_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_381_1, all_482_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (296), (396)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_482_0 = all_381_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_477_0, all_487_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (391), (402)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_487_0 = all_477_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_376_0, all_487_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_7, simplifying with (290), (402)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_487_0 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (438) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_477_0 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (439) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_477_0 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (410) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_462_2 = all_426_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (441) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_462_2 = all_426_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (436) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_467_1 = all_381_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (435) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_467_1 = all_436_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (434) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_467_1 = all_447_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (440) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_472_0 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (446) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  all_472_0 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (418) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_472_1 = all_391_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_472_1 = all_462_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (417) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_472_1 = all_396_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (407) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_431_2 = all_401_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_431_2 = all_401_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (408) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_401_2 = all_376_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (431) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_462_1 = all_457_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (447) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_462_1 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (450) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_396_1 = all_391_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (450) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_462_0 = all_396_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_462_0 = all_396_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (414) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_462_0 = all_401_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_462_0 = all_401_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (445) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_447_0 = all_381_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (445) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_447_0 = all_436_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (460) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_401_0 = all_396_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (460) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_401_0 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (455) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_457_1 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_457_1 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (442) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_431_2 = all_426_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (467) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_431_2 = all_426_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (423) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_452_1 = all_245_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_452_1 = all_245_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (466) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_452_0 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_452_0 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (472) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_436_1 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_436_1 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (470) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_245_0 = all_245_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_245_0 = all_245_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (462) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  all_436_1 = all_381_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (477) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_436_1 = all_381_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (420) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_245_0 = all_53_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (479) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_245_0 = all_53_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (478) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_381_1 = all_38_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (478) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_381_1 = all_376_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (468) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_426_2 = all_406_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (468) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_426_2 = all_401_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (468) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_426_2 = all_386_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (485) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_406_1 = all_386_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (484) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_406_1 = all_401_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (426) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_376_1 = all_260_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (488) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_376_1 = all_260_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (487) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_401_2 = all_386_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (490) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_401_2 = all_386_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (464) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_396_1 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_396_1 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (491) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_386_2 = all_376_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (494) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_386_2 = all_376_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (493) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_391_0 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (496) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_391_0 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (497) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  all_386_1 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (498) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_386_1 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (482) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_376_0 = all_38_1
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (489) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_260_1 = all_49_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (480) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_245_1 = all_53_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (502) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_245_1 = all_53_0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  all_38_0 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (504) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  $false
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (505) is inconsistent.
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_5) = v3 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (506) with fresh symbols all_513_0,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_513_1, all_513_2, all_513_3 gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_513_0 & apart_point_and_line(all_38_7,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_513_1 & distinct_lines(all_38_5,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_513_2 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_6) = all_513_3 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_513_2 = 0) |  ~ (all_513_3 = 0) |
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_513_0 = 0 | all_513_1 = 0)
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  distinct_lines(all_38_5, all_38_2) = all_513_2
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_38_1 = 0
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (509) imply:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  $false
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (510) is inconsistent.
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.45/4.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (511) with fresh symbols all_523_0,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_523_1, all_523_2, all_523_3 gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_523_0 & apart_point_and_line(all_38_7,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_523_1 & distinct_lines(all_38_5,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_523_2 &
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_6) = all_523_3 &
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_523_2 = 0) |  ~ (all_523_3 = 0) |
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_523_0 = 0 | all_523_1 = 0)
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (512) implies:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  distinct_lines(all_38_5, all_38_2) = all_523_2
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)   ~ (all_376_2 = 0)
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_376_2, all_523_2,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (288), (513)
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  all_523_2 = all_376_2
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_513_2, all_523_2,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (508), (513)
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_523_2 = all_513_2
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (516) imply:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  all_513_2 = all_376_2
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_8, all_38_5,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_376_2, simplifying with (21), (24),
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (25), (203), (288) gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_376_2 = 0 | apart_point_and_line(all_38_8,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_38_2) = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  apart_point_and_line(all_38_8, all_38_2) = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_53_0, 0, all_38_2,
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_8, simplifying with (58), (519) gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_53_0 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (520) imply:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  $false
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (521) is inconsistent.
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  all_376_2 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (522) imply:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  $false
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (523) is inconsistent.
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  all_376_0 = 0 | all_376_1 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_376_0 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (525) imply:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_38_1 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (526) implies:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_38_1 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (527) imply:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  $false
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (528) is inconsistent.
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  all_376_1 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (529) imply:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  all_49_0 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (530) implies:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_49_0 = 0
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (531) imply:
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  $false
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (532) is inconsistent.
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | End of split
% 25.45/4.53  | | | | | | | | | 
% 25.45/4.53  | | | | | | | | Case 2:
% 25.45/4.53  | | | | | | | | | 
% 25.45/4.53  | | | | | | | | |   (533)  all_38_4 = 0
% 25.45/4.53  | | | | | | | | |   (534)   ~ (all_38_3 = 0)
% 25.45/4.53  | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | REDUCE: (28), (533) imply:
% 25.45/4.53  | | | | | | | | |   (535)  apart_point_and_line(all_38_9, all_38_5) = 0
% 25.45/4.53  | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | BETA: splitting (43) gives:
% 25.45/4.53  | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | Case 1:
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | |   (536)  all_38_1 = 0
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | REDUCE: (18), (536) imply:
% 25.45/4.53  | | | | | | | | | |   (537)  $false
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | CLOSE: (537) is inconsistent.
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | Case 2:
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | |   (538)  all_38_3 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.45/4.53  | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.45/4.53  | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.45/4.53  | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v3 &
% 25.45/4.53  | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.53  | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.45/4.53  | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | BETA: splitting (192) gives:
% 25.45/4.53  | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | Case 1:
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | |   (539)  all_57_0 = 0
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | REDUCE: (173), (539) imply:
% 25.45/4.53  | | | | | | | | | | |   (540)  $false
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | CLOSE: (540) is inconsistent.
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | Case 2:
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | |   (541)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.45/4.53  | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_7,
% 25.45/4.53  | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.53  | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v1 &
% 25.45/4.53  | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~
% 25.45/4.53  | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | BETA: splitting (194) gives:
% 25.45/4.53  | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | Case 1:
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | |   (542)  all_57_0 = 0
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | REDUCE: (173), (542) imply:
% 25.45/4.53  | | | | | | | | | | | |   (543)  $false
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | CLOSE: (543) is inconsistent.
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | Case 2:
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | |   (544)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.45/4.53  | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.45/4.53  | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v3 &
% 25.45/4.53  | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.45/4.53  | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.53  | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.45/4.53  | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | BETA: splitting (180) gives:
% 25.45/4.53  | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | Case 1:
% 25.45/4.53  | | | | | | | | | | | | | 
% 25.45/4.53  | | | | | | | | | | | | |   (545)  all_49_0 = 0
% 25.45/4.54  | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | REDUCE: (174), (545) imply:
% 25.45/4.54  | | | | | | | | | | | | |   (546)  $false
% 25.45/4.54  | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | CLOSE: (546) is inconsistent.
% 25.45/4.54  | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | Case 2:
% 25.45/4.54  | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | |   (547)  all_38_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.45/4.54  | | | | | | | | | | | | |          [v2: any] :  ? [v3: any] :
% 25.45/4.54  | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_5) = v3 &
% 25.45/4.54  | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.45/4.54  | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.54  | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.45/4.54  | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.54  | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | BETA: splitting (181) gives:
% 25.45/4.54  | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | Case 1:
% 25.45/4.54  | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | |   (548)  all_49_0 = 0
% 25.45/4.54  | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | REDUCE: (174), (548) imply:
% 25.45/4.54  | | | | | | | | | | | | | |   (549)  $false
% 25.45/4.54  | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | CLOSE: (549) is inconsistent.
% 25.45/4.54  | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | Case 2:
% 25.45/4.54  | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | |   (550)  all_38_1 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 25.45/4.54  | | | | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_6,
% 25.45/4.54  | | | | | | | | | | | | | |              all_38_2) = v2 &
% 25.45/4.54  | | | | | | | | | | | | | |            apart_point_and_line(all_38_6, all_38_5) = v1 &
% 25.45/4.54  | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~
% 25.45/4.54  | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.45/4.54  | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 25.45/4.54  | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | Case 1:
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | |   (551)  all_38_3 = 0
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | REDUCE: (534), (551) imply:
% 25.45/4.54  | | | | | | | | | | | | | | |   (552)  $false
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent.
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | Case 2:
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | |   (553)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.54  | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_7,
% 25.45/4.54  | | | | | | | | | | | | | | |              all_38_5) = v2 &
% 25.45/4.54  | | | | | | | | | | | | | | |            apart_point_and_line(all_38_8, all_38_2) = v3 &
% 25.45/4.54  | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.54  | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_8) = v0 & ( ~
% 25.45/4.54  | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | DELTA: instantiating (553) with fresh symbols all_434_0,
% 25.45/4.54  | | | | | | | | | | | | | | |        all_434_1, all_434_2, all_434_3 gives:
% 25.45/4.54  | | | | | | | | | | | | | | |   (554)  apart_point_and_line(all_38_7, all_38_5) =
% 25.45/4.54  | | | | | | | | | | | | | | |          all_434_1 & apart_point_and_line(all_38_8,
% 25.45/4.54  | | | | | | | | | | | | | | |            all_38_2) = all_434_0 & distinct_lines(all_38_5,
% 25.45/4.54  | | | | | | | | | | | | | | |            all_38_2) = all_434_2 &
% 25.45/4.54  | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_8) = all_434_3 &
% 25.45/4.54  | | | | | | | | | | | | | | |          ( ~ (all_434_2 = 0) |  ~ (all_434_3 = 0) |
% 25.45/4.54  | | | | | | | | | | | | | | |            all_434_0 = 0 | all_434_1 = 0)
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | ALPHA: (554) implies:
% 25.45/4.54  | | | | | | | | | | | | | | |   (555)  distinct_lines(all_38_5, all_38_2) = all_434_2
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | BETA: splitting (550) gives:
% 25.45/4.54  | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | Case 1:
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | |   (556)  all_38_1 = 0
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | REDUCE: (18), (556) imply:
% 25.45/4.54  | | | | | | | | | | | | | | | |   (557)  $false
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | CLOSE: (557) is inconsistent.
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | Case 2:
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | |   (558)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 25.45/4.54  | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_2) = v2 &
% 25.45/4.54  | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_6, all_38_5) = v1 &
% 25.45/4.54  | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~
% 25.45/4.54  | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | DELTA: instantiating (558) with fresh symbols all_579_0,
% 25.45/4.54  | | | | | | | | | | | | | | | |        all_579_1, all_579_2 gives:
% 25.45/4.54  | | | | | | | | | | | | | | | |   (559)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.54  | | | | | | | | | | | | | | | |          all_579_0 & apart_point_and_line(all_38_6,
% 25.45/4.54  | | | | | | | | | | | | | | | |            all_38_5) = all_579_1 & distinct_lines(all_38_5,
% 25.45/4.54  | | | | | | | | | | | | | | | |            all_38_2) = all_579_2 & ( ~ (all_579_2 = 0) |
% 25.45/4.54  | | | | | | | | | | | | | | | |            all_579_0 = 0 | all_579_1 = 0)
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | ALPHA: (559) implies:
% 25.45/4.54  | | | | | | | | | | | | | | | |   (560)  distinct_lines(all_38_5, all_38_2) = all_579_2
% 25.45/4.54  | | | | | | | | | | | | | | | |   (561)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.54  | | | | | | | | | | | | | | | |          all_579_1
% 25.45/4.54  | | | | | | | | | | | | | | | |   (562)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.54  | | | | | | | | | | | | | | | |          all_579_0
% 25.45/4.54  | | | | | | | | | | | | | | | |   (563)   ~ (all_579_2 = 0) | all_579_0 = 0 | all_579_1 = 0
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 25.45/4.54  | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | |   (564)  all_49_0 = 0
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | REDUCE: (174), (564) imply:
% 25.45/4.54  | | | | | | | | | | | | | | | | |   (565)  $false
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | CLOSE: (565) is inconsistent.
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | |   (566)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 25.45/4.54  | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_6, all_38_5) = v2 &
% 25.45/4.54  | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_6, all_38_5) = v1 &
% 25.45/4.54  | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_5) = v0 & ( ~
% 25.45/4.54  | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | DELTA: instantiating (566) with fresh symbols all_589_0,
% 25.45/4.54  | | | | | | | | | | | | | | | | |        all_589_1, all_589_2 gives:
% 25.45/4.54  | | | | | | | | | | | | | | | | |   (567)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.54  | | | | | | | | | | | | | | | | |          all_589_0 & apart_point_and_line(all_38_6,
% 25.45/4.54  | | | | | | | | | | | | | | | | |            all_38_5) = all_589_1 & distinct_lines(all_38_5,
% 25.45/4.54  | | | | | | | | | | | | | | | | |            all_38_5) = all_589_2 & ( ~ (all_589_2 = 0) |
% 25.45/4.54  | | | | | | | | | | | | | | | | |            all_589_0 = 0 | all_589_1 = 0)
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | ALPHA: (567) implies:
% 25.45/4.54  | | | | | | | | | | | | | | | | |   (568)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.54  | | | | | | | | | | | | | | | | |          all_589_1
% 25.45/4.54  | | | | | | | | | | | | | | | | |   (569)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.54  | | | | | | | | | | | | | | | | |          all_589_0
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | BETA: splitting (544) gives:
% 25.45/4.54  | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | |   (570)  all_38_1 = 0
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | REDUCE: (18), (570) imply:
% 25.45/4.54  | | | | | | | | | | | | | | | | | |   (571)  $false
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | CLOSE: (571) is inconsistent.
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | |   (572)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.54  | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.54  | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v2 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.45/4.54  | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | DELTA: instantiating (572) with fresh symbols all_603_0,
% 25.45/4.54  | | | | | | | | | | | | | | | | | |        all_603_1, all_603_2, all_603_3 gives:
% 25.45/4.54  | | | | | | | | | | | | | | | | | |   (573)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.54  | | | | | | | | | | | | | | | | | |          all_603_0 & apart_point_and_line(all_38_7,
% 25.45/4.54  | | | | | | | | | | | | | | | | | |            all_38_5) = all_603_1 & distinct_lines(all_38_5,
% 25.45/4.54  | | | | | | | | | | | | | | | | | |            all_38_2) = all_603_2 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_6) = all_603_3 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | |          ( ~ (all_603_2 = 0) |  ~ (all_603_3 = 0) |
% 25.45/4.54  | | | | | | | | | | | | | | | | | |            all_603_0 = 0 | all_603_1 = 0)
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | ALPHA: (573) implies:
% 25.45/4.54  | | | | | | | | | | | | | | | | | |   (574)  distinct_lines(all_38_5, all_38_2) = all_603_2
% 25.45/4.54  | | | | | | | | | | | | | | | | | |   (575)  apart_point_and_line(all_38_6, all_38_2) =
% 25.45/4.54  | | | | | | | | | | | | | | | | | |          all_603_0
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | BETA: splitting (547) gives:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | Case 1:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |   (576)  all_38_0 = 0
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | REDUCE: (19), (576) imply:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |   (577)  $false
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | CLOSE: (577) is inconsistent.
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | Case 2:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |   (578)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_6,
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |              all_38_5) = v3 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v1 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_7, all_38_6) = v0 & ( ~
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | DELTA: instantiating (578) with fresh symbols all_613_0,
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |        all_613_1, all_613_2, all_613_3 gives:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |   (579)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |          all_613_0 & apart_point_and_line(all_38_7,
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |            all_38_2) = all_613_1 & distinct_lines(all_38_5,
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |            all_38_2) = all_613_2 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_7, all_38_6) = all_613_3 &
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |          ( ~ (all_613_2 = 0) |  ~ (all_613_3 = 0) |
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |            all_613_0 = 0 | all_613_1 = 0)
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | ALPHA: (579) implies:
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |   (580)  distinct_lines(all_38_5, all_38_2) = all_613_2
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |   (581)  apart_point_and_line(all_38_6, all_38_5) =
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |          all_613_0
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |   (582)   ~ (all_613_2 = 0) |  ~ (all_613_3 = 0) |
% 25.45/4.54  | | | | | | | | | | | | | | | | | | |          all_613_0 = 0 | all_613_1 = 0
% 25.45/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (541) gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (583)  all_38_0 = 0
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (583) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (584)  $false
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent.
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | Case 2:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (585)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_7, all_38_2) = v2 &
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_7, all_38_5) = v1 &
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |            distinct_lines(all_38_5, all_38_2) = v0 & ( ~
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (585) with fresh symbols all_619_0,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |        all_619_1, all_619_2 gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (586)  apart_point_and_line(all_38_7, all_38_2) =
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |          all_619_0 & apart_point_and_line(all_38_7,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |            all_38_5) = all_619_1 & distinct_lines(all_38_5,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_619_2 & ( ~ (all_619_2 = 0) |
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |            all_619_0 = 0 | all_619_1 = 0)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | ALPHA: (586) implies:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (587)  distinct_lines(all_38_5, all_38_2) = all_619_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_434_2, all_603_2,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (555), (574)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (588)  all_603_2 = all_434_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_613_2, all_619_2,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (580), (587)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (589)  all_619_2 = all_613_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_603_2, all_619_2,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (574), (587)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (590)  all_619_2 = all_603_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_579_2, all_619_2,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (560), (587)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (591)  all_619_2 = all_579_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_57_0, all_613_0,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_6, simplifying with (162), (581)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (592)  all_613_0 = all_57_0
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_589_0, all_613_0,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_6, simplifying with (569), (581)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (593)  all_613_0 = all_589_0
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_589_1, all_613_0,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_6, simplifying with (568), (581)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (594)  all_613_0 = all_589_1
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_579_1, all_613_0,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_5, all_38_6, simplifying with (561), (581)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (595)  all_613_0 = all_579_1
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_38_0, all_603_0,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_6, simplifying with (31), (575)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (596)  all_603_0 = all_38_0
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_579_0, all_603_0,
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_6, simplifying with (562), (575)
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |              gives:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (597)  all_603_0 = all_579_0
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (591) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (598)  all_613_2 = all_579_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (590) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (599)  all_613_2 = all_603_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (594) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (600)  all_589_0 = all_589_1
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (593) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (601)  all_589_0 = all_57_0
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (595) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (602)  all_589_0 = all_579_1
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (599) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (603)  all_603_2 = all_579_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | SIMP: (603) implies:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (604)  all_603_2 = all_579_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (597) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (605)  all_579_0 = all_38_0
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (604) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (606)  all_579_2 = all_434_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | SIMP: (606) implies:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (607)  all_579_2 = all_434_2
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (602) imply:
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | |   (608)  all_589_1 = all_579_1
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (601) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | |   (609)  all_589_1 = all_57_0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (609) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | |   (610)  all_579_1 = all_57_0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (607) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | |   (611)  all_613_2 = all_434_2
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |   (612)   ~ (all_613_2 = 0)
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | REDUCE: (611), (612) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |   (613)   ~ (all_434_2 = 0)
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_9, all_38_5,
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_434_2, simplifying with (20), (24),
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |              (25), (535), (555) gives:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |   (614)  all_434_2 = 0 | apart_point_and_line(all_38_9,
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |            all_38_2) = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (615)  apart_point_and_line(all_38_9, all_38_2) = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_51_0, 0, all_38_2,
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |              all_38_9, simplifying with (56), (615) gives:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (616)  all_51_0 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (616) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (617)  $false
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (617) is inconsistent.
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (618)  all_434_2 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (613), (618) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (619)  $false
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (619) is inconsistent.
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |   (620)  all_613_2 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (620) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |   (621)  all_434_2 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | SIMP: (621) implies:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |   (622)  all_434_2 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (622) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | |   (623)  all_579_2 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (563) gives:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (624)   ~ (all_579_2 = 0)
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (623), (624) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (625)  $false
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (625) is inconsistent.
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | |   (626)  all_579_0 = 0 | all_579_1 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (626) gives:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | |   (627)  all_579_0 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (627) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | |   (628)  all_38_0 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (628) implies:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | |   (629)  all_38_0 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (629) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | |   (630)  $false
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (630) is inconsistent.
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | |   (631)  all_579_1 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (631) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | |   (632)  all_57_0 = 0
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (632) imply:
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | |   (633)  $false
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent.
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | | 
% 25.72/4.55  | | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | | 
% 25.72/4.55  | | | | | | | | End of split
% 25.72/4.55  | | | | | | | | 
% 25.72/4.55  | | | | | | | Case 2:
% 25.72/4.55  | | | | | | | | 
% 25.72/4.55  | | | | | | | |   (634)   ~ (all_59_1 = 0)
% 25.72/4.55  | | | | | | | | 
% 25.72/4.55  | | | | | | | | REDUCE: (119), (634) imply:
% 25.72/4.55  | | | | | | | |   (635)  $false
% 25.72/4.55  | | | | | | | | 
% 25.72/4.55  | | | | | | | | CLOSE: (635) is inconsistent.
% 25.72/4.55  | | | | | | | | 
% 25.72/4.55  | | | | | | | End of split
% 25.72/4.55  | | | | | | | 
% 25.72/4.55  | | | | | | End of split
% 25.72/4.55  | | | | | | 
% 25.72/4.55  | | | | | End of split
% 25.72/4.55  | | | | | 
% 25.72/4.55  | | | | End of split
% 25.72/4.55  | | | | 
% 25.72/4.55  | | | End of split
% 25.72/4.55  | | | 
% 25.72/4.55  | | End of split
% 25.72/4.55  | | 
% 25.72/4.55  | End of split
% 25.72/4.55  | 
% 25.72/4.55  End of proof
% 25.72/4.55  % SZS output end Proof for theBenchmark
% 25.72/4.55  
% 25.72/4.55  3934ms
%------------------------------------------------------------------------------