%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : GEO190+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 : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:22:04 EDT 2023

% Result   : Theorem 38.57s 5.77s
% Output   : Proof 39.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 19:55:37 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.61  ________       _____
% 0.19/0.61  ___  __ \_________(_)________________________________
% 0.19/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61  
% 0.19/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61  (2023-06-19)
% 0.19/0.61  
% 0.19/0.61  (c) Philipp Rümmer, 2009-2023
% 0.19/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61                Amanda Stjerna.
% 0.19/0.61  Free software under BSD-3-Clause.
% 0.19/0.61  
% 0.19/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61  
% 0.19/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62  Running up to 7 provers in parallel.
% 0.19/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.27/1.14  Prover 1: Preprocessing ...
% 3.27/1.14  Prover 4: Preprocessing ...
% 3.27/1.18  Prover 5: Preprocessing ...
% 3.27/1.18  Prover 0: Preprocessing ...
% 3.27/1.18  Prover 2: Preprocessing ...
% 3.27/1.18  Prover 6: Preprocessing ...
% 3.27/1.19  Prover 3: Preprocessing ...
% 6.35/1.58  Prover 5: Proving ...
% 6.35/1.59  Prover 2: Proving ...
% 6.95/1.64  Prover 3: Constructing countermodel ...
% 6.95/1.65  Prover 6: Constructing countermodel ...
% 6.95/1.67  Prover 1: Constructing countermodel ...
% 8.07/1.79  Prover 3: gave up
% 8.07/1.80  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.07/1.81  Prover 6: gave up
% 8.07/1.81  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.61/1.88  Prover 8: Preprocessing ...
% 8.61/1.88  Prover 7: Preprocessing ...
% 8.61/1.93  Prover 7: Warning: ignoring some quantifiers
% 8.61/1.94  Prover 4: Constructing countermodel ...
% 8.61/1.95  Prover 7: Constructing countermodel ...
% 8.61/1.96  Prover 0: Proving ...
% 8.61/1.96  Prover 1: gave up
% 8.61/1.96  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 9.52/2.00  Prover 9: Preprocessing ...
% 10.06/2.10  Prover 8: Warning: ignoring some quantifiers
% 10.06/2.11  Prover 8: Constructing countermodel ...
% 12.37/2.34  Prover 8: gave up
% 12.37/2.34  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.37/2.37  Prover 10: Preprocessing ...
% 12.37/2.38  Prover 9: Constructing countermodel ...
% 12.96/2.42  Prover 10: Warning: ignoring some quantifiers
% 12.96/2.43  Prover 10: Constructing countermodel ...
% 13.36/2.53  Prover 10: gave up
% 13.36/2.54  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.98/2.60  Prover 11: Preprocessing ...
% 15.85/2.87  Prover 11: Constructing countermodel ...
% 27.25/4.31  Prover 7: gave up
% 27.25/4.33  Prover 12: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 27.78/4.38  Prover 12: Preprocessing ...
% 28.31/4.54  Prover 12: Proving ...
% 38.57/5.76  Prover 4: Found proof (size 364)
% 38.57/5.76  Prover 4: proved (5130ms)
% 38.57/5.76  Prover 9: stopped
% 38.57/5.76  Prover 12: stopped
% 38.57/5.76  Prover 2: stopped
% 38.57/5.76  Prover 5: stopped
% 38.57/5.76  Prover 0: stopped
% 38.57/5.77  Prover 11: stopped
% 38.57/5.77  
% 38.57/5.77  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.57/5.77  
% 38.65/5.79  % SZS output start Proof for theBenchmark
% 38.65/5.80  Assumptions after simplification:
% 38.65/5.80  ---------------------------------
% 38.65/5.80  
% 38.65/5.80    (a4)
% 38.65/5.83     ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~
% 38.65/5.83      (incident_point_and_line(v0, v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.83      apart_point_and_line(v0, v1) = 0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: int]
% 38.65/5.83    : (v2 = 0 |  ~ (apart_point_and_line(v0, v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.83      incident_point_and_line(v0, v1) = 0) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 38.65/5.83      (incident_point_and_line(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: int]
% 38.65/5.83      : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) &  ! [v0: $i] :  ! [v1:
% 38.65/5.83      $i] : ( ~ (apart_point_and_line(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 38.65/5.83      [v2: int] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2))
% 38.65/5.83  
% 38.65/5.83    (apart1)
% 38.65/5.83     ! [v0: $i] : ( ~ (distinct_points(v0, v0) = 0) |  ~ $i(v0))
% 38.65/5.83  
% 38.65/5.83    (apart4)
% 38.65/5.83     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 38.65/5.83      0 | v3 = 0 |  ~ (distinct_points(v1, v2) = v4) |  ~ (distinct_points(v0, v2)
% 38.65/5.83        = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: int] : ( ~ (v5 = 0) &
% 38.65/5.83        distinct_points(v0, v1) = v5)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 38.65/5.83     ! [v3: int] : (v3 = 0 |  ~ (distinct_points(v1, v2) = v3) |  ~
% 38.65/5.83      (distinct_points(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.83      distinct_points(v0, v2) = 0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 38.65/5.83    [v3: int] : (v3 = 0 |  ~ (distinct_points(v0, v2) = v3) |  ~
% 38.65/5.83      (distinct_points(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.83      distinct_points(v1, v2) = 0)
% 38.65/5.83  
% 38.65/5.83    (ceq2)
% 38.65/5.83     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int] : (v4 =
% 38.65/5.83      0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_lines(v1,
% 38.65/5.83          v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: int] : ( ~ (v5 =
% 38.65/5.83          0) & apart_point_and_line(v0, v1) = v5)) &  ! [v0: $i] :  ! [v1: $i] : 
% 38.65/5.83    ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v3) |
% 38.65/5.83       ~ (apart_point_and_line(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.83      distinct_lines(v1, v2) = 0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 38.65/5.83    [v3: int] : (v3 = 0 |  ~ (apart_point_and_line(v0, v1) = 0) |  ~
% 38.65/5.83      (distinct_lines(v1, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.83      apart_point_and_line(v0, v2) = 0)
% 38.65/5.83  
% 38.65/5.83    (ci1)
% 38.65/5.84     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 38.65/5.84       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 38.65/5.84      (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 38.65/5.84            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 38.65/5.84      (distinct_points(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 38.65/5.84      [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 38.65/5.84        apart_point_and_line(v0, v2) = v3 & $i(v2)))
% 38.65/5.84  
% 38.65/5.84    (ci2)
% 38.65/5.84     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 38.65/5.84       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 38.65/5.84      (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4
% 38.65/5.84            = 0) |  ~ (v3 = 0)))) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 38.65/5.84      (distinct_points(v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ?
% 38.65/5.84      [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 &
% 38.65/5.84        apart_point_and_line(v1, v2) = v3 & $i(v2)))
% 38.65/5.84  
% 38.65/5.84    (con)
% 38.65/5.84     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5:
% 38.65/5.84      int] : ( ~ (v5 = 0) & incident_point_and_line(v2, v4) = v5 &
% 38.65/5.84      incident_point_and_line(v2, v3) = 0 & line_connecting(v1, v0) = v4 &
% 38.65/5.84      line_connecting(v0, v1) = v3 & distinct_points(v1, v2) = 0 &
% 38.65/5.84      distinct_points(v0, v2) = 0 & distinct_points(v0, v1) = 0 & $i(v4) & $i(v3)
% 38.65/5.84      & $i(v2) & $i(v1) & $i(v0))
% 38.65/5.84  
% 38.65/5.84    (con1)
% 38.65/5.84     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) |
% 38.65/5.84       ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :  ? [v6:
% 38.65/5.84        any] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 &
% 38.65/5.84        distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) |
% 38.65/5.84          v6 = 0))) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) =
% 38.65/5.84        0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4: $i] : 
% 38.65/5.84      ? [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 38.65/5.84        line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 = 0) | v5 =
% 38.65/5.84          0)))
% 38.65/5.84  
% 38.65/5.84    (cu1)
% 38.65/5.85     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5:
% 38.65/5.85      int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~
% 38.65/5.85      (apart_point_and_line(v1, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 38.65/5.85      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 38.65/5.85      ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0,
% 38.65/5.85          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 38.65/5.85          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 38.65/5.85      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) =
% 38.65/5.85        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ (distinct_lines(v2, v3)
% 38.65/5.85        = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ?
% 38.65/5.85      [v7: any] :  ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 38.65/5.85        apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6
% 38.65/5.85            = 0) | v8 = 0 | v7 = 0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : 
% 38.65/5.85    ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 38.65/5.85      (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 38.65/5.85      |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7:
% 38.65/5.85        any] :  ? [v8: any] :  ? [v9: any] : (apart_point_and_line(v1, v2) = v9 &
% 38.65/5.85        apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 &
% 38.65/5.85        distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0 | v8 =
% 38.65/5.85          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 38.65/5.85      int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) =
% 38.65/5.85        v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 38.65/5.85      $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ? [v9:
% 38.65/5.85        any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) =
% 38.65/5.85        v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7
% 38.65/5.85            = 0) |  ~ (v6 = 0) | v9 = 0 | v8 = 0))) &  ! [v0: $i] :  ! [v1: $i] : 
% 38.65/5.85    ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int] : (v5 = 0 | v4 = 0 |  ~
% 38.65/5.85      (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v2) = v4)
% 38.65/5.85      |  ~ (distinct_lines(v2, v3) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 38.65/5.85      $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 38.65/5.85      (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 &
% 38.65/5.85        distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) &  ! [v0:
% 38.65/5.85      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :  ! [v5: int]
% 38.65/5.85    : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5) |  ~
% 38.65/5.85      (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 38.65/5.85      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 38.65/5.85      ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1,
% 38.65/5.85          v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 38.65/5.85          0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 38.65/5.85      (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ~ $i(v3)
% 38.65/5.85      |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ? [v6:
% 38.65/5.85        any] :  ? [v7: any] : (apart_point_and_line(v1, v3) = v7 &
% 38.65/5.85        apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 &
% 38.65/5.85        apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 38.65/5.85  
% 38.65/5.85    (function-axioms)
% 38.65/5.86     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 38.65/5.86    [v3: $i] : (v1 = v0 |  ~ (orthogonal_lines(v3, v2) = v1) |  ~
% 38.65/5.86      (orthogonal_lines(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 38.65/5.86      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 38.65/5.86      (incident_point_and_line(v3, v2) = v1) |  ~ (incident_point_and_line(v3, v2)
% 38.65/5.86        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 38.65/5.86      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (parallel_lines(v3, v2) = v1) |  ~
% 38.65/5.86      (parallel_lines(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 38.65/5.86      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 38.65/5.86      (equal_lines(v3, v2) = v1) |  ~ (equal_lines(v3, v2) = v0)) &  ! [v0:
% 38.65/5.86      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 38.65/5.86    : (v1 = v0 |  ~ (equal_points(v3, v2) = v1) |  ~ (equal_points(v3, v2) = v0))
% 38.65/5.86    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 38.65/5.86      (orthogonal_through_point(v3, v2) = v1) |  ~ (orthogonal_through_point(v3,
% 38.65/5.86          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 38.65/5.86    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (unorthogonal_lines(v3, v2) = v1) | 
% 38.65/5.86      ~ (unorthogonal_lines(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 38.65/5.86      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (parallel_through_point(v3, v2) = v1) |  ~
% 38.65/5.86      (parallel_through_point(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 38.65/5.86      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (intersection_point(v3, v2) = v1) |  ~
% 38.65/5.86      (intersection_point(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 38.65/5.86    :  ! [v3: $i] : (v1 = v0 |  ~ (line_connecting(v3, v2) = v1) |  ~
% 38.65/5.86      (line_connecting(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 38.65/5.86      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 38.65/5.86      (apart_point_and_line(v3, v2) = v1) |  ~ (apart_point_and_line(v3, v2) =
% 38.65/5.86        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 38.65/5.86      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (convergent_lines(v3, v2) = v1) |  ~
% 38.65/5.86      (convergent_lines(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 38.65/5.86      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 38.65/5.86      (distinct_lines(v3, v2) = v1) |  ~ (distinct_lines(v3, v2) = v0)) &  ! [v0:
% 38.65/5.86      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 38.65/5.86    : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~ (distinct_points(v3, v2) =
% 38.65/5.86        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 38.65/5.86      $i] : (v1 = v0 |  ~ (point(v2) = v1) |  ~ (point(v2) = v0)) &  ! [v0:
% 38.65/5.86      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 38.65/5.86      ~ (line(v2) = v1) |  ~ (line(v2) = v0))
% 38.65/5.86  
% 38.65/5.86  Further assumptions not needed in the proof:
% 38.65/5.86  --------------------------------------------
% 38.65/5.86  a3, a5, apart2, apart3, apart5, ax1, ax2, ax6, ceq1, ceq3, ci3, ci4, coipo1,
% 38.65/5.86  cotno1, couo1, cp1, cp2, cup1, int1, oac1, occu1, ooc1, ooc2, orth1, ouo1, p1,
% 38.65/5.86  par1
% 38.65/5.86  
% 38.65/5.86  Those formulas are unsatisfiable:
% 38.65/5.86  ---------------------------------
% 38.65/5.86  
% 38.65/5.86  Begin of proof
% 38.65/5.86  | 
% 38.65/5.86  | ALPHA: (apart4) implies:
% 38.65/5.86  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 38.65/5.86  |          (distinct_points(v1, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | 
% 38.65/5.86  |          ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | distinct_points(v0, v2) = 0)
% 38.65/5.86  | 
% 38.65/5.86  | ALPHA: (ci1) implies:
% 38.65/5.86  |   (2)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 38.65/5.86  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 38.65/5.86  |            line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3 &
% 38.65/5.86  |            $i(v2)))
% 38.65/5.86  |   (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 38.65/5.86  |            = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 38.65/5.86  |          (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 38.65/5.86  |              ~ (v4 = 0) |  ~ (v3 = 0))))
% 38.65/5.86  | 
% 38.65/5.86  | ALPHA: (ci2) implies:
% 38.65/5.86  |   (4)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 38.65/5.86  |          $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3: int] : ( ~ (v3 = 0) &
% 38.65/5.86  |            line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3 &
% 38.65/5.86  |            $i(v2)))
% 38.65/5.86  |   (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 38.65/5.86  |            = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 38.65/5.86  |          (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & (
% 38.65/5.86  |              ~ (v4 = 0) |  ~ (v3 = 0))))
% 38.65/5.86  | 
% 38.65/5.86  | ALPHA: (cu1) implies:
% 38.65/5.87  |   (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 38.65/5.87  |          (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ~
% 38.65/5.87  |          $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5:
% 38.65/5.87  |            any] :  ? [v6: any] :  ? [v7: any] : (apart_point_and_line(v1, v3)
% 38.65/5.87  |            = v7 & apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0,
% 38.65/5.87  |              v3) = v5 & apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 |
% 38.65/5.87  |              v5 = 0 | v4 = 0)))
% 38.65/5.87  |   (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 38.65/5.87  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5)
% 38.65/5.87  |          |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0,
% 38.65/5.87  |              v1) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 38.65/5.87  |          [v6: any] :  ? [v7: any] :  ? [v8: any] : (apart_point_and_line(v1,
% 38.65/5.87  |              v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2,
% 38.65/5.87  |              v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 38.65/5.87  |   (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 38.65/5.87  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5)
% 38.65/5.87  |          |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 38.65/5.87  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 38.65/5.87  |          [v9: any] : (apart_point_and_line(v1, v3) = v9 &
% 38.65/5.87  |            apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 &
% 38.65/5.87  |            distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0
% 38.65/5.87  |              | v8 = 0)))
% 38.65/5.87  |   (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] : 
% 38.65/5.87  |        ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5)
% 38.65/5.87  |          |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ (distinct_lines(v2, v3)
% 38.65/5.87  |            = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any]
% 38.65/5.87  |          :  ? [v7: any] :  ? [v8: any] : (apart_point_and_line(v1, v2) = v8 &
% 38.65/5.87  |            apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 &
% 38.65/5.87  |            ( ~ (v6 = 0) | v8 = 0 | v7 = 0)))
% 38.65/5.87  |   (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: int] :
% 38.65/5.87  |          ! [v5: int] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) =
% 38.65/5.87  |             v5) |  ~ (apart_point_and_line(v1, v2) = v4) |  ~
% 38.65/5.87  |           (distinct_points(v0, v1) = 0) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 38.65/5.87  |           ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 38.65/5.87  |           (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, v2) =
% 38.65/5.87  |             v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 =
% 38.65/5.87  |               0)))
% 38.65/5.87  | 
% 38.65/5.87  | ALPHA: (ceq2) implies:
% 38.65/5.87  |   (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 38.65/5.87  |           (apart_point_and_line(v0, v2) = v3) |  ~ (apart_point_and_line(v0,
% 38.65/5.87  |               v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.87  |           distinct_lines(v1, v2) = 0)
% 38.65/5.87  |   (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] :  ! [v4: int]
% 38.65/5.87  |         : (v4 = 0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~
% 38.65/5.87  |           (distinct_lines(v1, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | 
% 38.65/5.87  |           ? [v5: int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5))
% 38.65/5.87  | 
% 38.65/5.87  | ALPHA: (con1) implies:
% 38.65/5.87  |   (13)   ! [v0: $i] :  ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) |  ~
% 38.65/5.87  |           $i(v1) |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4: $i] :  ?
% 38.65/5.87  |           [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 &
% 38.65/5.87  |             line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 = 0)
% 38.65/5.87  |               | v5 = 0)))
% 38.65/5.88  |   (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (line_connecting(v0, v1)
% 38.65/5.88  |             = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ?
% 38.65/5.88  |           [v5: any] :  ? [v6: any] : (point(v1) = v4 & point(v0) = v3 &
% 38.65/5.88  |             line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) |  ~
% 38.65/5.88  |               (v4 = 0) |  ~ (v3 = 0) | v6 = 0)))
% 38.65/5.88  | 
% 38.65/5.88  | ALPHA: (a4) implies:
% 38.65/5.88  |   (15)   ! [v0: $i] :  ! [v1: $i] : ( ~ (incident_point_and_line(v0, v1) = 0)
% 38.65/5.88  |           |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: int] : ( ~ (v2 = 0) &
% 38.65/5.88  |             apart_point_and_line(v0, v1) = v2))
% 38.65/5.88  |   (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~
% 38.65/5.88  |           (incident_point_and_line(v0, v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |
% 38.65/5.88  |           apart_point_and_line(v0, v1) = 0)
% 38.65/5.88  | 
% 38.65/5.88  | ALPHA: (function-axioms) implies:
% 38.65/5.88  |   (17)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 38.65/5.88  |         :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~
% 38.65/5.88  |           (distinct_points(v3, v2) = v0))
% 38.65/5.88  |   (18)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 38.65/5.88  |         :  ! [v3: $i] : (v1 = v0 |  ~ (distinct_lines(v3, v2) = v1) |  ~
% 38.65/5.88  |           (distinct_lines(v3, v2) = v0))
% 38.65/5.88  |   (19)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 38.65/5.88  |         :  ! [v3: $i] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~
% 38.65/5.88  |           (apart_point_and_line(v3, v2) = v0))
% 38.65/5.88  |   (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 38.65/5.88  |           (line_connecting(v3, v2) = v1) |  ~ (line_connecting(v3, v2) = v0))
% 38.65/5.88  | 
% 38.65/5.88  | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2,
% 38.65/5.88  |        all_38_3, all_38_4, all_38_5 gives:
% 38.65/5.88  |   (21)   ~ (all_38_0 = 0) & incident_point_and_line(all_38_3, all_38_1) =
% 38.65/5.88  |         all_38_0 & incident_point_and_line(all_38_3, all_38_2) = 0 &
% 38.65/5.88  |         line_connecting(all_38_4, all_38_5) = all_38_1 &
% 38.65/5.88  |         line_connecting(all_38_5, all_38_4) = all_38_2 &
% 38.65/5.88  |         distinct_points(all_38_4, all_38_3) = 0 & distinct_points(all_38_5,
% 38.65/5.88  |           all_38_3) = 0 & distinct_points(all_38_5, all_38_4) = 0 &
% 38.65/5.88  |         $i(all_38_1) & $i(all_38_2) & $i(all_38_3) & $i(all_38_4) &
% 38.65/5.88  |         $i(all_38_5)
% 38.65/5.88  | 
% 38.65/5.88  | ALPHA: (21) implies:
% 38.65/5.88  |   (22)   ~ (all_38_0 = 0)
% 38.65/5.88  |   (23)  $i(all_38_5)
% 38.65/5.88  |   (24)  $i(all_38_4)
% 38.65/5.88  |   (25)  $i(all_38_3)
% 38.65/5.88  |   (26)  $i(all_38_2)
% 38.65/5.88  |   (27)  $i(all_38_1)
% 38.65/5.88  |   (28)  distinct_points(all_38_5, all_38_4) = 0
% 38.65/5.88  |   (29)  distinct_points(all_38_5, all_38_3) = 0
% 38.65/5.88  |   (30)  distinct_points(all_38_4, all_38_3) = 0
% 38.65/5.88  |   (31)  line_connecting(all_38_5, all_38_4) = all_38_2
% 38.65/5.88  |   (32)  line_connecting(all_38_4, all_38_5) = all_38_1
% 38.65/5.88  |   (33)  incident_point_and_line(all_38_3, all_38_2) = 0
% 38.65/5.88  |   (34)  incident_point_and_line(all_38_3, all_38_1) = all_38_0
% 38.65/5.88  | 
% 38.65/5.88  | GROUND_INST: instantiating (13) with all_38_5, all_38_4, simplifying with
% 38.65/5.88  |              (23), (24), (28) gives:
% 38.65/5.88  |   (35)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :
% 38.65/5.88  |         (point(all_38_4) = v1 & point(all_38_5) = v0 & line(v2) = v3 &
% 38.65/5.88  |           line_connecting(all_38_5, all_38_4) = v2 & $i(v2) & ( ~ (v1 = 0) | 
% 38.65/5.88  |             ~ (v0 = 0) | v3 = 0))
% 38.65/5.88  | 
% 38.65/5.88  | GROUND_INST: instantiating (4) with all_38_5, all_38_4, simplifying with (23),
% 38.65/5.88  |              (24), (28) gives:
% 38.65/5.89  |   (36)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 38.65/5.89  |             all_38_4) = v0 & apart_point_and_line(all_38_4, v0) = v1 & $i(v0))
% 38.65/5.89  | 
% 38.65/5.89  | GROUND_INST: instantiating (2) with all_38_5, all_38_4, simplifying with (23),
% 38.65/5.89  |              (24), (28) gives:
% 38.65/5.89  |   (37)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 38.65/5.89  |             all_38_4) = v0 & apart_point_and_line(all_38_5, v0) = v1 & $i(v0))
% 38.65/5.89  | 
% 38.65/5.89  | GROUND_INST: instantiating (13) with all_38_5, all_38_3, simplifying with
% 38.65/5.89  |              (23), (25), (29) gives:
% 39.07/5.89  |   (38)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :
% 39.07/5.89  |         (point(all_38_3) = v1 & point(all_38_5) = v0 & line(v2) = v3 &
% 39.07/5.89  |           line_connecting(all_38_5, all_38_3) = v2 & $i(v2) & ( ~ (v1 = 0) | 
% 39.07/5.89  |             ~ (v0 = 0) | v3 = 0))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (4) with all_38_5, all_38_3, simplifying with (23),
% 39.07/5.89  |              (25), (29) gives:
% 39.07/5.89  |   (39)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 39.07/5.89  |             all_38_3) = v0 & apart_point_and_line(all_38_3, v0) = v1 & $i(v0))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (2) with all_38_5, all_38_3, simplifying with (23),
% 39.07/5.89  |              (25), (29) gives:
% 39.07/5.89  |   (40)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5,
% 39.07/5.89  |             all_38_3) = v0 & apart_point_and_line(all_38_5, v0) = v1 & $i(v0))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (13) with all_38_4, all_38_3, simplifying with
% 39.07/5.89  |              (24), (25), (30) gives:
% 39.07/5.89  |   (41)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :
% 39.07/5.89  |         (point(all_38_3) = v1 & point(all_38_4) = v0 & line(v2) = v3 &
% 39.07/5.89  |           line_connecting(all_38_4, all_38_3) = v2 & $i(v2) & ( ~ (v1 = 0) | 
% 39.07/5.89  |             ~ (v0 = 0) | v3 = 0))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (4) with all_38_4, all_38_3, simplifying with (24),
% 39.07/5.89  |              (25), (30) gives:
% 39.07/5.89  |   (42)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_4,
% 39.07/5.89  |             all_38_3) = v0 & apart_point_and_line(all_38_3, v0) = v1 & $i(v0))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (2) with all_38_4, all_38_3, simplifying with (24),
% 39.07/5.89  |              (25), (30) gives:
% 39.07/5.89  |   (43)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_4,
% 39.07/5.89  |             all_38_3) = v0 & apart_point_and_line(all_38_4, v0) = v1 & $i(v0))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (14) with all_38_5, all_38_4, all_38_2, simplifying
% 39.07/5.89  |              with (23), (24), (31) gives:
% 39.07/5.89  |   (44)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 39.07/5.89  |         (point(all_38_4) = v1 & point(all_38_5) = v0 & line(all_38_2) = v3 &
% 39.07/5.89  |           distinct_points(all_38_5, all_38_4) = v2 & ( ~ (v2 = 0) |  ~ (v1 =
% 39.07/5.89  |               0) |  ~ (v0 = 0) | v3 = 0))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (5) with all_38_5, all_38_4, all_38_2, simplifying
% 39.07/5.89  |              with (23), (24), (31) gives:
% 39.07/5.89  |   (45)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_4,
% 39.07/5.89  |             all_38_2) = v1 & distinct_points(all_38_5, all_38_4) = v0 & ( ~
% 39.07/5.89  |             (v1 = 0) |  ~ (v0 = 0)))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (3) with all_38_5, all_38_4, all_38_2, simplifying
% 39.07/5.89  |              with (23), (24), (31) gives:
% 39.07/5.89  |   (46)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_5,
% 39.07/5.89  |             all_38_2) = v1 & distinct_points(all_38_5, all_38_4) = v0 & ( ~
% 39.07/5.89  |             (v1 = 0) |  ~ (v0 = 0)))
% 39.07/5.89  | 
% 39.07/5.89  | GROUND_INST: instantiating (14) with all_38_4, all_38_5, all_38_1, simplifying
% 39.07/5.89  |              with (23), (24), (32) gives:
% 39.07/5.90  |   (47)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 39.07/5.90  |         (point(all_38_4) = v0 & point(all_38_5) = v1 & line(all_38_1) = v3 &
% 39.07/5.90  |           distinct_points(all_38_4, all_38_5) = v2 & ( ~ (v2 = 0) |  ~ (v1 =
% 39.07/5.90  |               0) |  ~ (v0 = 0) | v3 = 0))
% 39.07/5.90  | 
% 39.07/5.90  | GROUND_INST: instantiating (5) with all_38_4, all_38_5, all_38_1, simplifying
% 39.07/5.90  |              with (23), (24), (32) gives:
% 39.07/5.90  |   (48)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_5,
% 39.07/5.90  |             all_38_1) = v1 & distinct_points(all_38_4, all_38_5) = v0 & ( ~
% 39.07/5.90  |             (v1 = 0) |  ~ (v0 = 0)))
% 39.07/5.90  | 
% 39.07/5.90  | GROUND_INST: instantiating (3) with all_38_4, all_38_5, all_38_1, simplifying
% 39.07/5.90  |              with (23), (24), (32) gives:
% 39.07/5.90  |   (49)   ? [v0: any] :  ? [v1: any] : (apart_point_and_line(all_38_4,
% 39.07/5.90  |             all_38_1) = v1 & distinct_points(all_38_4, all_38_5) = v0 & ( ~
% 39.07/5.90  |             (v1 = 0) |  ~ (v0 = 0)))
% 39.07/5.90  | 
% 39.07/5.90  | GROUND_INST: instantiating (15) with all_38_3, all_38_2, simplifying with
% 39.07/5.90  |              (25), (26), (33) gives:
% 39.07/5.90  |   (50)   ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_38_3, all_38_2)
% 39.07/5.90  |           = v0)
% 39.07/5.90  | 
% 39.07/5.90  | GROUND_INST: instantiating (16) with all_38_3, all_38_1, all_38_0, simplifying
% 39.07/5.90  |              with (25), (27), (34) gives:
% 39.07/5.90  |   (51)  all_38_0 = 0 | apart_point_and_line(all_38_3, all_38_1) = 0
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (50) with fresh symbol all_45_0 gives:
% 39.07/5.90  |   (52)   ~ (all_45_0 = 0) & apart_point_and_line(all_38_3, all_38_2) =
% 39.07/5.90  |         all_45_0
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (52) implies:
% 39.07/5.90  |   (53)   ~ (all_45_0 = 0)
% 39.07/5.90  |   (54)  apart_point_and_line(all_38_3, all_38_2) = all_45_0
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (42) with fresh symbols all_53_0, all_53_1 gives:
% 39.07/5.90  |   (55)   ~ (all_53_0 = 0) & line_connecting(all_38_4, all_38_3) = all_53_1 &
% 39.07/5.90  |         apart_point_and_line(all_38_3, all_53_1) = all_53_0 & $i(all_53_1)
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (55) implies:
% 39.07/5.90  |   (56)   ~ (all_53_0 = 0)
% 39.07/5.90  |   (57)  apart_point_and_line(all_38_3, all_53_1) = all_53_0
% 39.07/5.90  |   (58)  line_connecting(all_38_4, all_38_3) = all_53_1
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (46) with fresh symbols all_55_0, all_55_1 gives:
% 39.07/5.90  |   (59)  apart_point_and_line(all_38_5, all_38_2) = all_55_0 &
% 39.07/5.90  |         distinct_points(all_38_5, all_38_4) = all_55_1 & ( ~ (all_55_0 = 0) | 
% 39.07/5.90  |           ~ (all_55_1 = 0))
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (59) implies:
% 39.07/5.90  |   (60)  distinct_points(all_38_5, all_38_4) = all_55_1
% 39.07/5.90  |   (61)  apart_point_and_line(all_38_5, all_38_2) = all_55_0
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (43) with fresh symbols all_57_0, all_57_1 gives:
% 39.07/5.90  |   (62)   ~ (all_57_0 = 0) & line_connecting(all_38_4, all_38_3) = all_57_1 &
% 39.07/5.90  |         apart_point_and_line(all_38_4, all_57_1) = all_57_0 & $i(all_57_1)
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (62) implies:
% 39.07/5.90  |   (63)   ~ (all_57_0 = 0)
% 39.07/5.90  |   (64)  $i(all_57_1)
% 39.07/5.90  |   (65)  apart_point_and_line(all_38_4, all_57_1) = all_57_0
% 39.07/5.90  |   (66)  line_connecting(all_38_4, all_38_3) = all_57_1
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (39) with fresh symbols all_59_0, all_59_1 gives:
% 39.07/5.90  |   (67)   ~ (all_59_0 = 0) & line_connecting(all_38_5, all_38_3) = all_59_1 &
% 39.07/5.90  |         apart_point_and_line(all_38_3, all_59_1) = all_59_0 & $i(all_59_1)
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (67) implies:
% 39.07/5.90  |   (68)   ~ (all_59_0 = 0)
% 39.07/5.90  |   (69)  apart_point_and_line(all_38_3, all_59_1) = all_59_0
% 39.07/5.90  |   (70)  line_connecting(all_38_5, all_38_3) = all_59_1
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (36) with fresh symbols all_61_0, all_61_1 gives:
% 39.07/5.90  |   (71)   ~ (all_61_0 = 0) & line_connecting(all_38_5, all_38_4) = all_61_1 &
% 39.07/5.90  |         apart_point_and_line(all_38_4, all_61_1) = all_61_0 & $i(all_61_1)
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (71) implies:
% 39.07/5.90  |   (72)  $i(all_61_1)
% 39.07/5.90  |   (73)  apart_point_and_line(all_38_4, all_61_1) = all_61_0
% 39.07/5.90  |   (74)  line_connecting(all_38_5, all_38_4) = all_61_1
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (49) with fresh symbols all_63_0, all_63_1 gives:
% 39.07/5.90  |   (75)  apart_point_and_line(all_38_4, all_38_1) = all_63_0 &
% 39.07/5.90  |         distinct_points(all_38_4, all_38_5) = all_63_1 & ( ~ (all_63_0 = 0) | 
% 39.07/5.90  |           ~ (all_63_1 = 0))
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (75) implies:
% 39.07/5.90  |   (76)  distinct_points(all_38_4, all_38_5) = all_63_1
% 39.07/5.90  |   (77)  apart_point_and_line(all_38_4, all_38_1) = all_63_0
% 39.07/5.90  |   (78)   ~ (all_63_0 = 0) |  ~ (all_63_1 = 0)
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (45) with fresh symbols all_65_0, all_65_1 gives:
% 39.07/5.90  |   (79)  apart_point_and_line(all_38_4, all_38_2) = all_65_0 &
% 39.07/5.90  |         distinct_points(all_38_5, all_38_4) = all_65_1 & ( ~ (all_65_0 = 0) | 
% 39.07/5.90  |           ~ (all_65_1 = 0))
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (79) implies:
% 39.07/5.90  |   (80)  distinct_points(all_38_5, all_38_4) = all_65_1
% 39.07/5.90  |   (81)  apart_point_and_line(all_38_4, all_38_2) = all_65_0
% 39.07/5.90  |   (82)   ~ (all_65_0 = 0) |  ~ (all_65_1 = 0)
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (40) with fresh symbols all_67_0, all_67_1 gives:
% 39.07/5.90  |   (83)   ~ (all_67_0 = 0) & line_connecting(all_38_5, all_38_3) = all_67_1 &
% 39.07/5.90  |         apart_point_and_line(all_38_5, all_67_1) = all_67_0 & $i(all_67_1)
% 39.07/5.90  | 
% 39.07/5.90  | ALPHA: (83) implies:
% 39.07/5.90  |   (84)   ~ (all_67_0 = 0)
% 39.07/5.90  |   (85)  $i(all_67_1)
% 39.07/5.90  |   (86)  apart_point_and_line(all_38_5, all_67_1) = all_67_0
% 39.07/5.90  |   (87)  line_connecting(all_38_5, all_38_3) = all_67_1
% 39.07/5.90  | 
% 39.07/5.90  | DELTA: instantiating (48) with fresh symbols all_69_0, all_69_1 gives:
% 39.07/5.90  |   (88)  apart_point_and_line(all_38_5, all_38_1) = all_69_0 &
% 39.07/5.90  |         distinct_points(all_38_4, all_38_5) = all_69_1 & ( ~ (all_69_0 = 0) | 
% 39.07/5.90  |           ~ (all_69_1 = 0))
% 39.07/5.90  | 
% 39.07/5.91  | ALPHA: (88) implies:
% 39.07/5.91  |   (89)  distinct_points(all_38_4, all_38_5) = all_69_1
% 39.07/5.91  |   (90)  apart_point_and_line(all_38_5, all_38_1) = all_69_0
% 39.07/5.91  |   (91)   ~ (all_69_0 = 0) |  ~ (all_69_1 = 0)
% 39.07/5.91  | 
% 39.07/5.91  | DELTA: instantiating (37) with fresh symbols all_71_0, all_71_1 gives:
% 39.07/5.91  |   (92)   ~ (all_71_0 = 0) & line_connecting(all_38_5, all_38_4) = all_71_1 &
% 39.07/5.91  |         apart_point_and_line(all_38_5, all_71_1) = all_71_0 & $i(all_71_1)
% 39.07/5.91  | 
% 39.07/5.91  | ALPHA: (92) implies:
% 39.07/5.91  |   (93)   ~ (all_71_0 = 0)
% 39.07/5.91  |   (94)  apart_point_and_line(all_38_5, all_71_1) = all_71_0
% 39.07/5.91  |   (95)  line_connecting(all_38_5, all_38_4) = all_71_1
% 39.07/5.91  | 
% 39.07/5.91  | DELTA: instantiating (41) with fresh symbols all_73_0, all_73_1, all_73_2,
% 39.07/5.91  |        all_73_3 gives:
% 39.07/5.91  |   (96)  point(all_38_3) = all_73_2 & point(all_38_4) = all_73_3 &
% 39.07/5.91  |         line(all_73_1) = all_73_0 & line_connecting(all_38_4, all_38_3) =
% 39.07/5.91  |         all_73_1 & $i(all_73_1) & ( ~ (all_73_2 = 0) |  ~ (all_73_3 = 0) |
% 39.07/5.91  |           all_73_0 = 0)
% 39.07/5.91  | 
% 39.07/5.91  | ALPHA: (96) implies:
% 39.07/5.91  |   (97)  line_connecting(all_38_4, all_38_3) = all_73_1
% 39.07/5.91  | 
% 39.07/5.91  | DELTA: instantiating (44) with fresh symbols all_75_0, all_75_1, all_75_2,
% 39.07/5.91  |        all_75_3 gives:
% 39.07/5.91  |   (98)  point(all_38_4) = all_75_2 & point(all_38_5) = all_75_3 &
% 39.07/5.91  |         line(all_38_2) = all_75_0 & distinct_points(all_38_5, all_38_4) =
% 39.07/5.91  |         all_75_1 & ( ~ (all_75_1 = 0) |  ~ (all_75_2 = 0) |  ~ (all_75_3 = 0)
% 39.07/5.91  |           | all_75_0 = 0)
% 39.07/5.91  | 
% 39.07/5.91  | ALPHA: (98) implies:
% 39.07/5.91  |   (99)  distinct_points(all_38_5, all_38_4) = all_75_1
% 39.07/5.91  | 
% 39.07/5.91  | DELTA: instantiating (38) with fresh symbols all_77_0, all_77_1, all_77_2,
% 39.07/5.91  |        all_77_3 gives:
% 39.07/5.91  |   (100)  point(all_38_3) = all_77_2 & point(all_38_5) = all_77_3 &
% 39.07/5.91  |          line(all_77_1) = all_77_0 & line_connecting(all_38_5, all_38_3) =
% 39.07/5.91  |          all_77_1 & $i(all_77_1) & ( ~ (all_77_2 = 0) |  ~ (all_77_3 = 0) |
% 39.07/5.91  |            all_77_0 = 0)
% 39.07/5.91  | 
% 39.07/5.91  | ALPHA: (100) implies:
% 39.07/5.91  |   (101)  line_connecting(all_38_5, all_38_3) = all_77_1
% 39.07/5.91  | 
% 39.07/5.91  | DELTA: instantiating (35) with fresh symbols all_79_0, all_79_1, all_79_2,
% 39.07/5.91  |        all_79_3 gives:
% 39.07/5.91  |   (102)  point(all_38_4) = all_79_2 & point(all_38_5) = all_79_3 &
% 39.07/5.91  |          line(all_79_1) = all_79_0 & line_connecting(all_38_5, all_38_4) =
% 39.07/5.91  |          all_79_1 & $i(all_79_1) & ( ~ (all_79_2 = 0) |  ~ (all_79_3 = 0) |
% 39.07/5.91  |            all_79_0 = 0)
% 39.07/5.91  | 
% 39.07/5.91  | ALPHA: (102) implies:
% 39.07/5.91  |   (103)  line_connecting(all_38_5, all_38_4) = all_79_1
% 39.07/5.91  | 
% 39.07/5.91  | DELTA: instantiating (47) with fresh symbols all_81_0, all_81_1, all_81_2,
% 39.07/5.91  |        all_81_3 gives:
% 39.07/5.91  |   (104)  point(all_38_4) = all_81_3 & point(all_38_5) = all_81_2 &
% 39.07/5.91  |          line(all_38_1) = all_81_0 & distinct_points(all_38_4, all_38_5) =
% 39.07/5.91  |          all_81_1 & ( ~ (all_81_1 = 0) |  ~ (all_81_2 = 0) |  ~ (all_81_3 = 0)
% 39.07/5.91  |            | all_81_0 = 0)
% 39.07/5.91  | 
% 39.07/5.91  | ALPHA: (104) implies:
% 39.07/5.91  |   (105)  distinct_points(all_38_4, all_38_5) = all_81_1
% 39.07/5.91  | 
% 39.07/5.91  | BETA: splitting (51) gives:
% 39.07/5.91  | 
% 39.07/5.91  | Case 1:
% 39.07/5.91  | | 
% 39.07/5.91  | |   (106)  apart_point_and_line(all_38_3, all_38_1) = 0
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (17) with 0, all_65_1, all_38_4, all_38_5,
% 39.07/5.91  | |              simplifying with (28), (80) gives:
% 39.07/5.91  | |   (107)  all_65_1 = 0
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (17) with all_65_1, all_75_1, all_38_4, all_38_5,
% 39.07/5.91  | |              simplifying with (80), (99) gives:
% 39.07/5.91  | |   (108)  all_75_1 = all_65_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (17) with all_55_1, all_75_1, all_38_4, all_38_5,
% 39.07/5.91  | |              simplifying with (60), (99) gives:
% 39.07/5.91  | |   (109)  all_75_1 = all_55_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (17) with all_69_1, all_81_1, all_38_5, all_38_4,
% 39.07/5.91  | |              simplifying with (89), (105) gives:
% 39.07/5.91  | |   (110)  all_81_1 = all_69_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (17) with all_63_1, all_81_1, all_38_5, all_38_4,
% 39.07/5.91  | |              simplifying with (76), (105) gives:
% 39.07/5.91  | |   (111)  all_81_1 = all_63_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (20) with all_38_2, all_79_1, all_38_4, all_38_5,
% 39.07/5.91  | |              simplifying with (31), (103) gives:
% 39.07/5.91  | |   (112)  all_79_1 = all_38_2
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (20) with all_71_1, all_79_1, all_38_4, all_38_5,
% 39.07/5.91  | |              simplifying with (95), (103) gives:
% 39.07/5.91  | |   (113)  all_79_1 = all_71_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (20) with all_61_1, all_79_1, all_38_4, all_38_5,
% 39.07/5.91  | |              simplifying with (74), (103) gives:
% 39.07/5.91  | |   (114)  all_79_1 = all_61_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (20) with all_67_1, all_77_1, all_38_3, all_38_5,
% 39.07/5.91  | |              simplifying with (87), (101) gives:
% 39.07/5.91  | |   (115)  all_77_1 = all_67_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (20) with all_59_1, all_77_1, all_38_3, all_38_5,
% 39.07/5.91  | |              simplifying with (70), (101) gives:
% 39.07/5.91  | |   (116)  all_77_1 = all_59_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (20) with all_57_1, all_73_1, all_38_3, all_38_4,
% 39.07/5.91  | |              simplifying with (66), (97) gives:
% 39.07/5.91  | |   (117)  all_73_1 = all_57_1
% 39.07/5.91  | | 
% 39.07/5.91  | | GROUND_INST: instantiating (20) with all_53_1, all_73_1, all_38_3, all_38_4,
% 39.07/5.91  | |              simplifying with (58), (97) gives:
% 39.07/5.91  | |   (118)  all_73_1 = all_53_1
% 39.07/5.91  | | 
% 39.07/5.91  | | COMBINE_EQS: (110), (111) imply:
% 39.07/5.91  | |   (119)  all_69_1 = all_63_1
% 39.07/5.91  | | 
% 39.07/5.91  | | SIMP: (119) implies:
% 39.07/5.91  | |   (120)  all_69_1 = all_63_1
% 39.07/5.91  | | 
% 39.07/5.91  | | COMBINE_EQS: (113), (114) imply:
% 39.07/5.91  | |   (121)  all_71_1 = all_61_1
% 39.07/5.91  | | 
% 39.07/5.91  | | COMBINE_EQS: (112), (113) imply:
% 39.07/5.91  | |   (122)  all_71_1 = all_38_2
% 39.07/5.91  | | 
% 39.07/5.91  | | COMBINE_EQS: (115), (116) imply:
% 39.07/5.91  | |   (123)  all_67_1 = all_59_1
% 39.07/5.91  | | 
% 39.07/5.91  | | COMBINE_EQS: (108), (109) imply:
% 39.07/5.91  | |   (124)  all_65_1 = all_55_1
% 39.07/5.91  | | 
% 39.07/5.91  | | SIMP: (124) implies:
% 39.07/5.91  | |   (125)  all_65_1 = all_55_1
% 39.07/5.91  | | 
% 39.07/5.91  | | COMBINE_EQS: (117), (118) imply:
% 39.07/5.91  | |   (126)  all_57_1 = all_53_1
% 39.07/5.91  | | 
% 39.07/5.91  | | SIMP: (126) implies:
% 39.07/5.91  | |   (127)  all_57_1 = all_53_1
% 39.07/5.91  | | 
% 39.07/5.92  | | COMBINE_EQS: (121), (122) imply:
% 39.33/5.92  | |   (128)  all_61_1 = all_38_2
% 39.33/5.92  | | 
% 39.33/5.92  | | COMBINE_EQS: (107), (125) imply:
% 39.33/5.92  | |   (129)  all_55_1 = 0
% 39.33/5.92  | | 
% 39.33/5.92  | | SIMP: (129) implies:
% 39.33/5.92  | |   (130)  all_55_1 = 0
% 39.33/5.92  | | 
% 39.33/5.92  | | REDUCE: (73), (128) imply:
% 39.33/5.92  | |   (131)  apart_point_and_line(all_38_4, all_38_2) = all_61_0
% 39.33/5.92  | | 
% 39.33/5.92  | | REDUCE: (65), (127) imply:
% 39.33/5.92  | |   (132)  apart_point_and_line(all_38_4, all_53_1) = all_57_0
% 39.33/5.92  | | 
% 39.33/5.92  | | REDUCE: (94), (122) imply:
% 39.33/5.92  | |   (133)  apart_point_and_line(all_38_5, all_38_2) = all_71_0
% 39.33/5.92  | | 
% 39.33/5.92  | | REDUCE: (86), (123) imply:
% 39.33/5.92  | |   (134)  apart_point_and_line(all_38_5, all_59_1) = all_67_0
% 39.33/5.92  | | 
% 39.33/5.92  | | REDUCE: (85), (123) imply:
% 39.33/5.92  | |   (135)  $i(all_59_1)
% 39.33/5.92  | | 
% 39.33/5.92  | | REDUCE: (64), (127) imply:
% 39.33/5.92  | |   (136)  $i(all_53_1)
% 39.33/5.92  | | 
% 39.33/5.92  | | BETA: splitting (82) gives:
% 39.33/5.92  | | 
% 39.33/5.92  | | Case 1:
% 39.33/5.92  | | | 
% 39.33/5.92  | | |   (137)   ~ (all_65_0 = 0)
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (19) with all_55_0, all_71_0, all_38_2,
% 39.33/5.92  | | |              all_38_5, simplifying with (61), (133) gives:
% 39.33/5.92  | | |   (138)  all_71_0 = all_55_0
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (19) with all_65_0, all_61_0, all_38_2,
% 39.33/5.92  | | |              all_38_4, simplifying with (81), (131) gives:
% 39.33/5.92  | | |   (139)  all_65_0 = all_61_0
% 39.33/5.92  | | | 
% 39.33/5.92  | | | REDUCE: (93), (138) imply:
% 39.33/5.92  | | |   (140)   ~ (all_55_0 = 0)
% 39.33/5.92  | | | 
% 39.33/5.92  | | | REDUCE: (137), (139) imply:
% 39.33/5.92  | | |   (141)   ~ (all_61_0 = 0)
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (1) with all_38_5, all_38_4, all_38_5,
% 39.33/5.92  | | |              all_63_1, simplifying with (23), (24), (28), (76) gives:
% 39.33/5.92  | | |   (142)  all_63_1 = 0 | distinct_points(all_38_5, all_38_5) = 0
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (7) with all_38_5, all_38_4, all_38_2,
% 39.33/5.92  | | |              all_38_2, all_55_0, all_55_0, simplifying with (23), (24),
% 39.33/5.92  | | |              (26), (28), (61) gives:
% 39.33/5.92  | | |   (143)  all_55_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.92  | | |          (apart_point_and_line(all_38_4, all_38_2) = v2 &
% 39.33/5.92  | | |            apart_point_and_line(all_38_4, all_38_2) = v1 &
% 39.33/5.92  | | |            distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0
% 39.33/5.92  | | |              | v1 = 0))
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (10) with all_38_5, all_38_4, all_38_2,
% 39.33/5.92  | | |              all_38_2, all_61_0, all_61_0, simplifying with (23), (24),
% 39.33/5.92  | | |              (26), (28), (131) gives:
% 39.33/5.92  | | |   (144)  all_61_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.92  | | |          (apart_point_and_line(all_38_5, all_38_2) = v2 &
% 39.33/5.92  | | |            apart_point_and_line(all_38_5, all_38_2) = v1 &
% 39.33/5.92  | | |            distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0
% 39.33/5.92  | | |              | v1 = 0))
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (8) with all_38_4, all_38_5, all_59_1,
% 39.33/5.92  | | |              all_38_2, all_61_0, all_67_0, simplifying with (23), (24),
% 39.33/5.92  | | |              (26), (131), (134), (135) gives:
% 39.33/5.92  | | |   (145)  all_67_0 = 0 | all_61_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.92  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_38_4,
% 39.33/5.92  | | |              all_59_1) = v2 & apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.92  | | |            v3 & distinct_lines(all_59_1, all_38_2) = v1 &
% 39.33/5.92  | | |            distinct_points(all_38_4, all_38_5) = v0 & ( ~ (v1 = 0) |  ~
% 39.33/5.92  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (7) with all_38_4, all_38_3, all_38_2,
% 39.33/5.92  | | |              all_53_1, all_61_0, all_57_0, simplifying with (24), (25),
% 39.33/5.92  | | |              (26), (30), (131), (132), (136) gives:
% 39.33/5.92  | | |   (146)  all_61_0 = 0 | all_57_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.92  | | |          [v2: any] : (apart_point_and_line(all_38_3, all_53_1) = v2 &
% 39.33/5.92  | | |            apart_point_and_line(all_38_3, all_38_2) = v1 &
% 39.33/5.92  | | |            distinct_lines(all_38_2, all_53_1) = v0 & ( ~ (v0 = 0) | v2 = 0
% 39.33/5.92  | | |              | v1 = 0))
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (10) with all_38_5, all_38_3, all_38_2,
% 39.33/5.92  | | |              all_38_2, all_45_0, all_45_0, simplifying with (23), (25),
% 39.33/5.92  | | |              (26), (29), (54) gives:
% 39.33/5.92  | | |   (147)  all_45_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.92  | | |          (apart_point_and_line(all_38_5, all_38_2) = v2 &
% 39.33/5.92  | | |            apart_point_and_line(all_38_5, all_38_2) = v1 &
% 39.33/5.92  | | |            distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0
% 39.33/5.92  | | |              | v1 = 0))
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (11) with all_38_3, all_38_1, all_38_2,
% 39.33/5.92  | | |              all_45_0, simplifying with (25), (26), (27), (54), (106)
% 39.33/5.92  | | |              gives:
% 39.33/5.92  | | |   (148)  all_45_0 = 0 | distinct_lines(all_38_1, all_38_2) = 0
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (11) with all_38_3, all_38_1, all_53_1,
% 39.33/5.92  | | |              all_53_0, simplifying with (25), (27), (57), (106), (136)
% 39.33/5.92  | | |              gives:
% 39.33/5.92  | | |   (149)  all_53_0 = 0 | distinct_lines(all_38_1, all_53_1) = 0
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (10) with all_38_4, all_38_3, all_53_1,
% 39.33/5.92  | | |              all_38_2, all_53_0, all_45_0, simplifying with (24), (25),
% 39.33/5.92  | | |              (26), (30), (54), (57), (136) gives:
% 39.33/5.92  | | |   (150)  all_53_0 = 0 | all_45_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.92  | | |          [v2: any] : (apart_point_and_line(all_38_4, all_53_1) = v1 &
% 39.33/5.92  | | |            apart_point_and_line(all_38_4, all_38_2) = v2 &
% 39.33/5.92  | | |            distinct_lines(all_53_1, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0
% 39.33/5.92  | | |              | v1 = 0))
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (11) with all_38_3, all_38_1, all_59_1,
% 39.33/5.92  | | |              all_59_0, simplifying with (25), (27), (69), (106), (135)
% 39.33/5.92  | | |              gives:
% 39.33/5.92  | | |   (151)  all_59_0 = 0 | distinct_lines(all_38_1, all_59_1) = 0
% 39.33/5.92  | | | 
% 39.33/5.92  | | | GROUND_INST: instantiating (10) with all_38_5, all_38_3, all_59_1,
% 39.33/5.92  | | |              all_38_2, all_59_0, all_45_0, simplifying with (23), (25),
% 39.33/5.92  | | |              (26), (29), (54), (69), (135) gives:
% 39.33/5.93  | | |   (152)  all_59_0 = 0 | all_45_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.93  | | |          [v2: any] : (apart_point_and_line(all_38_5, all_59_1) = v1 &
% 39.33/5.93  | | |            apart_point_and_line(all_38_5, all_38_2) = v2 &
% 39.33/5.93  | | |            distinct_lines(all_59_1, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0
% 39.33/5.93  | | |              | v1 = 0))
% 39.33/5.93  | | | 
% 39.33/5.93  | | | GROUND_INST: instantiating (8) with all_38_5, all_38_3, all_59_1,
% 39.33/5.93  | | |              all_38_2, all_55_0, all_59_0, simplifying with (23), (25),
% 39.33/5.93  | | |              (26), (61), (69), (135) gives:
% 39.33/5.93  | | |   (153)  all_59_0 = 0 | all_55_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.93  | | |          [v2: any] :  ? [v3: any] : (apart_point_and_line(all_38_3,
% 39.33/5.93  | | |              all_38_2) = v3 & apart_point_and_line(all_38_5, all_59_1) =
% 39.33/5.93  | | |            v2 & distinct_lines(all_59_1, all_38_2) = v1 &
% 39.33/5.93  | | |            distinct_points(all_38_5, all_38_3) = v0 & ( ~ (v1 = 0) |  ~
% 39.33/5.93  | | |              (v0 = 0) | v3 = 0 | v2 = 0))
% 39.33/5.93  | | | 
% 39.33/5.93  | | | BETA: splitting (151) gives:
% 39.33/5.93  | | | 
% 39.33/5.93  | | | Case 1:
% 39.33/5.93  | | | | 
% 39.33/5.93  | | | |   (154)  distinct_lines(all_38_1, all_59_1) = 0
% 39.33/5.93  | | | | 
% 39.33/5.93  | | | | BETA: splitting (145) gives:
% 39.33/5.93  | | | | 
% 39.33/5.93  | | | | Case 1:
% 39.33/5.93  | | | | | 
% 39.33/5.93  | | | | |   (155)  all_67_0 = 0
% 39.33/5.93  | | | | | 
% 39.33/5.93  | | | | | REDUCE: (84), (155) imply:
% 39.33/5.93  | | | | |   (156)  $false
% 39.33/5.93  | | | | | 
% 39.33/5.93  | | | | | CLOSE: (156) is inconsistent.
% 39.33/5.93  | | | | | 
% 39.33/5.93  | | | | Case 2:
% 39.33/5.93  | | | | | 
% 39.33/5.93  | | | | |   (157)  all_61_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] : 
% 39.33/5.93  | | | | |          ? [v3: any] : (apart_point_and_line(all_38_4, all_59_1) = v2
% 39.33/5.93  | | | | |            & apart_point_and_line(all_38_5, all_38_2) = v3 &
% 39.33/5.93  | | | | |            distinct_lines(all_59_1, all_38_2) = v1 &
% 39.33/5.93  | | | | |            distinct_points(all_38_4, all_38_5) = v0 & ( ~ (v1 = 0) | 
% 39.33/5.93  | | | | |              ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.33/5.93  | | | | | 
% 39.33/5.93  | | | | | BETA: splitting (149) gives:
% 39.33/5.93  | | | | | 
% 39.33/5.93  | | | | | Case 1:
% 39.33/5.93  | | | | | | 
% 39.33/5.93  | | | | | |   (158)  distinct_lines(all_38_1, all_53_1) = 0
% 39.33/5.93  | | | | | | 
% 39.33/5.93  | | | | | | BETA: splitting (148) gives:
% 39.33/5.93  | | | | | | 
% 39.33/5.93  | | | | | | Case 1:
% 39.33/5.93  | | | | | | | 
% 39.33/5.93  | | | | | | |   (159)  distinct_lines(all_38_1, all_38_2) = 0
% 39.33/5.93  | | | | | | | 
% 39.33/5.93  | | | | | | | BETA: splitting (153) gives:
% 39.33/5.93  | | | | | | | 
% 39.33/5.93  | | | | | | | Case 1:
% 39.33/5.93  | | | | | | | | 
% 39.33/5.93  | | | | | | | |   (160)  all_59_0 = 0
% 39.33/5.93  | | | | | | | | 
% 39.33/5.93  | | | | | | | | REDUCE: (68), (160) imply:
% 39.33/5.93  | | | | | | | |   (161)  $false
% 39.33/5.93  | | | | | | | | 
% 39.33/5.93  | | | | | | | | CLOSE: (161) is inconsistent.
% 39.33/5.93  | | | | | | | | 
% 39.33/5.93  | | | | | | | Case 2:
% 39.33/5.93  | | | | | | | | 
% 39.33/5.93  | | | | | | | |   (162)  all_55_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 39.33/5.93  | | | | | | | |            any] :  ? [v3: any] : (apart_point_and_line(all_38_3,
% 39.33/5.93  | | | | | | | |              all_38_2) = v3 & apart_point_and_line(all_38_5,
% 39.33/5.93  | | | | | | | |              all_59_1) = v2 & distinct_lines(all_59_1, all_38_2)
% 39.33/5.93  | | | | | | | |            = v1 & distinct_points(all_38_5, all_38_3) = v0 & ( ~
% 39.33/5.93  | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.33/5.93  | | | | | | | | 
% 39.33/5.93  | | | | | | | | BETA: splitting (152) gives:
% 39.33/5.93  | | | | | | | | 
% 39.33/5.93  | | | | | | | | Case 1:
% 39.33/5.93  | | | | | | | | | 
% 39.33/5.93  | | | | | | | | |   (163)  all_59_0 = 0
% 39.33/5.93  | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | REDUCE: (68), (163) imply:
% 39.33/5.93  | | | | | | | | |   (164)  $false
% 39.33/5.93  | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | CLOSE: (164) is inconsistent.
% 39.33/5.93  | | | | | | | | | 
% 39.33/5.93  | | | | | | | | Case 2:
% 39.33/5.93  | | | | | | | | | 
% 39.33/5.93  | | | | | | | | |   (165)  all_45_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 39.33/5.93  | | | | | | | | |            any] : (apart_point_and_line(all_38_5, all_59_1) =
% 39.33/5.93  | | | | | | | | |            v1 & apart_point_and_line(all_38_5, all_38_2) = v2
% 39.33/5.93  | | | | | | | | |            & distinct_lines(all_59_1, all_38_2) = v0 & ( ~ (v0
% 39.33/5.93  | | | | | | | | |                = 0) | v2 = 0 | v1 = 0))
% 39.33/5.93  | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | BETA: splitting (146) gives:
% 39.33/5.93  | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | Case 1:
% 39.33/5.93  | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | |   (166)  all_61_0 = 0
% 39.33/5.93  | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | REDUCE: (141), (166) imply:
% 39.33/5.93  | | | | | | | | | |   (167)  $false
% 39.33/5.93  | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | CLOSE: (167) is inconsistent.
% 39.33/5.93  | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | Case 2:
% 39.33/5.93  | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | |   (168)  all_57_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.93  | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_3,
% 39.33/5.93  | | | | | | | | | |              all_53_1) = v2 & apart_point_and_line(all_38_3,
% 39.33/5.93  | | | | | | | | | |              all_38_2) = v1 & distinct_lines(all_38_2,
% 39.33/5.93  | | | | | | | | | |              all_53_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 =
% 39.33/5.93  | | | | | | | | | |              0))
% 39.33/5.93  | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | BETA: splitting (157) gives:
% 39.33/5.93  | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | Case 1:
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | |   (169)  all_61_0 = 0
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | REDUCE: (141), (169) imply:
% 39.33/5.93  | | | | | | | | | | |   (170)  $false
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | CLOSE: (170) is inconsistent.
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | Case 2:
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | |   (171)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 39.33/5.93  | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_4,
% 39.33/5.93  | | | | | | | | | | |              all_59_1) = v2 &
% 39.33/5.93  | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_2) = v3 &
% 39.33/5.93  | | | | | | | | | | |            distinct_lines(all_59_1, all_38_2) = v1 &
% 39.33/5.93  | | | | | | | | | | |            distinct_points(all_38_4, all_38_5) = v0 & ( ~
% 39.33/5.93  | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | DELTA: instantiating (171) with fresh symbols all_369_0,
% 39.33/5.93  | | | | | | | | | | |        all_369_1, all_369_2, all_369_3 gives:
% 39.33/5.93  | | | | | | | | | | |   (172)  apart_point_and_line(all_38_4, all_59_1) =
% 39.33/5.93  | | | | | | | | | | |          all_369_1 & apart_point_and_line(all_38_5,
% 39.33/5.93  | | | | | | | | | | |            all_38_2) = all_369_0 & distinct_lines(all_59_1,
% 39.33/5.93  | | | | | | | | | | |            all_38_2) = all_369_2 &
% 39.33/5.93  | | | | | | | | | | |          distinct_points(all_38_4, all_38_5) = all_369_3 &
% 39.33/5.93  | | | | | | | | | | |          ( ~ (all_369_2 = 0) |  ~ (all_369_3 = 0) |
% 39.33/5.93  | | | | | | | | | | |            all_369_0 = 0 | all_369_1 = 0)
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | ALPHA: (172) implies:
% 39.33/5.93  | | | | | | | | | | |   (173)  distinct_lines(all_59_1, all_38_2) = all_369_2
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | BETA: splitting (144) gives:
% 39.33/5.93  | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | Case 1:
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | |   (174)  all_61_0 = 0
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | REDUCE: (141), (174) imply:
% 39.33/5.93  | | | | | | | | | | | |   (175)  $false
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | Case 2:
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | |   (176)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.93  | | | | | | | | | | | |          (apart_point_and_line(all_38_5, all_38_2) = v2 &
% 39.33/5.93  | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_2) = v1 &
% 39.33/5.93  | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v0 & ( ~
% 39.33/5.93  | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | DELTA: instantiating (176) with fresh symbols all_534_0,
% 39.33/5.93  | | | | | | | | | | | |        all_534_1, all_534_2 gives:
% 39.33/5.93  | | | | | | | | | | | |   (177)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.93  | | | | | | | | | | | |          all_534_0 & apart_point_and_line(all_38_5,
% 39.33/5.93  | | | | | | | | | | | |            all_38_2) = all_534_1 & distinct_lines(all_38_2,
% 39.33/5.93  | | | | | | | | | | | |            all_38_2) = all_534_2 & ( ~ (all_534_2 = 0) |
% 39.33/5.93  | | | | | | | | | | | |            all_534_0 = 0 | all_534_1 = 0)
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | ALPHA: (177) implies:
% 39.33/5.93  | | | | | | | | | | | |   (178)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.93  | | | | | | | | | | | |          all_534_1
% 39.33/5.93  | | | | | | | | | | | |   (179)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.93  | | | | | | | | | | | |          all_534_0
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | BETA: splitting (150) gives:
% 39.33/5.93  | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | Case 1:
% 39.33/5.93  | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | |   (180)  all_53_0 = 0
% 39.33/5.93  | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | REDUCE: (56), (180) imply:
% 39.33/5.93  | | | | | | | | | | | | |   (181)  $false
% 39.33/5.93  | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 39.33/5.93  | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | Case 2:
% 39.33/5.93  | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | |   (182)  all_45_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.93  | | | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_4,
% 39.33/5.93  | | | | | | | | | | | | |              all_53_1) = v1 &
% 39.33/5.93  | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_2) = v2 &
% 39.33/5.93  | | | | | | | | | | | | |            distinct_lines(all_53_1, all_38_2) = v0 & ( ~
% 39.33/5.93  | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.93  | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | BETA: splitting (182) gives:
% 39.33/5.93  | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | Case 1:
% 39.33/5.93  | | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | |   (183)  all_45_0 = 0
% 39.33/5.93  | | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | | REDUCE: (53), (183) imply:
% 39.33/5.93  | | | | | | | | | | | | | |   (184)  $false
% 39.33/5.93  | | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 39.33/5.93  | | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | Case 2:
% 39.33/5.93  | | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | |   (185)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.93  | | | | | | | | | | | | | |          (apart_point_and_line(all_38_4, all_53_1) = v1 &
% 39.33/5.93  | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_2) = v2 &
% 39.33/5.93  | | | | | | | | | | | | | |            distinct_lines(all_53_1, all_38_2) = v0 & ( ~
% 39.33/5.93  | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.93  | | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | | DELTA: instantiating (185) with fresh symbols all_544_0,
% 39.33/5.93  | | | | | | | | | | | | | |        all_544_1, all_544_2 gives:
% 39.33/5.93  | | | | | | | | | | | | | |   (186)  apart_point_and_line(all_38_4, all_53_1) =
% 39.33/5.93  | | | | | | | | | | | | | |          all_544_1 & apart_point_and_line(all_38_4,
% 39.33/5.93  | | | | | | | | | | | | | |            all_38_2) = all_544_0 & distinct_lines(all_53_1,
% 39.33/5.93  | | | | | | | | | | | | | |            all_38_2) = all_544_2 & ( ~ (all_544_2 = 0) |
% 39.33/5.93  | | | | | | | | | | | | | |            all_544_0 = 0 | all_544_1 = 0)
% 39.33/5.93  | | | | | | | | | | | | | | 
% 39.33/5.93  | | | | | | | | | | | | | | ALPHA: (186) implies:
% 39.33/5.93  | | | | | | | | | | | | | |   (187)  apart_point_and_line(all_38_4, all_38_2) =
% 39.33/5.93  | | | | | | | | | | | | | |          all_544_0
% 39.33/5.94  | | | | | | | | | | | | | |   (188)  apart_point_and_line(all_38_4, all_53_1) =
% 39.33/5.94  | | | | | | | | | | | | | |          all_544_1
% 39.33/5.94  | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 39.33/5.94  | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | Case 1:
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | |   (189)  all_57_0 = 0
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | REDUCE: (63), (189) imply:
% 39.33/5.94  | | | | | | | | | | | | | | |   (190)  $false
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | Case 2:
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | |   (191)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.94  | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_3, all_53_1) = v2 &
% 39.33/5.94  | | | | | | | | | | | | | | |            apart_point_and_line(all_38_3, all_38_2) = v1 &
% 39.33/5.94  | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_53_1) = v0 & ( ~
% 39.33/5.94  | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | DELTA: instantiating (191) with fresh symbols all_554_0,
% 39.33/5.94  | | | | | | | | | | | | | | |        all_554_1, all_554_2 gives:
% 39.33/5.94  | | | | | | | | | | | | | | |   (192)  apart_point_and_line(all_38_3, all_53_1) =
% 39.33/5.94  | | | | | | | | | | | | | | |          all_554_0 & apart_point_and_line(all_38_3,
% 39.33/5.94  | | | | | | | | | | | | | | |            all_38_2) = all_554_1 & distinct_lines(all_38_2,
% 39.33/5.94  | | | | | | | | | | | | | | |            all_53_1) = all_554_2 & ( ~ (all_554_2 = 0) |
% 39.33/5.94  | | | | | | | | | | | | | | |            all_554_0 = 0 | all_554_1 = 0)
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 39.33/5.94  | | | | | | | | | | | | | | |   (193)  apart_point_and_line(all_38_3, all_53_1) =
% 39.33/5.94  | | | | | | | | | | | | | | |          all_554_0
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 39.33/5.94  | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | Case 1:
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | |   (194)  all_55_0 = 0
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | REDUCE: (140), (194) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | |   (195)  $false
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | CLOSE: (195) is inconsistent.
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | Case 2:
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | |   (196)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.94  | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_4, all_38_2) = v2 &
% 39.33/5.94  | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_2) = v1 &
% 39.33/5.94  | | | | | | | | | | | | | | | |            distinct_lines(all_38_2, all_38_2) = v0 & ( ~
% 39.33/5.94  | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | DELTA: instantiating (196) with fresh symbols all_576_0,
% 39.33/5.94  | | | | | | | | | | | | | | | |        all_576_1, all_576_2 gives:
% 39.33/5.94  | | | | | | | | | | | | | | | |   (197)  apart_point_and_line(all_38_4, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | |          all_576_0 & apart_point_and_line(all_38_4,
% 39.33/5.94  | | | | | | | | | | | | | | | |            all_38_2) = all_576_1 & distinct_lines(all_38_2,
% 39.33/5.94  | | | | | | | | | | | | | | | |            all_38_2) = all_576_2 & ( ~ (all_576_2 = 0) |
% 39.33/5.94  | | | | | | | | | | | | | | | |            all_576_0 = 0 | all_576_1 = 0)
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 39.33/5.94  | | | | | | | | | | | | | | | |   (198)  apart_point_and_line(all_38_4, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | |          all_576_1
% 39.33/5.94  | | | | | | | | | | | | | | | |   (199)  apart_point_and_line(all_38_4, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | |          all_576_0
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | |   (200)  all_45_0 = 0
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | REDUCE: (53), (200) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | |   (201)  $false
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | DELTA: instantiating (176) with fresh symbols all_590_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | |        all_590_1, all_590_2 gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | |   (202)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | | |          all_590_0 & apart_point_and_line(all_38_5,
% 39.33/5.94  | | | | | | | | | | | | | | | | |            all_38_2) = all_590_1 & distinct_lines(all_38_2,
% 39.33/5.94  | | | | | | | | | | | | | | | | |            all_38_2) = all_590_2 & ( ~ (all_590_2 = 0) |
% 39.33/5.94  | | | | | | | | | | | | | | | | |            all_590_0 = 0 | all_590_1 = 0)
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 39.33/5.94  | | | | | | | | | | | | | | | | |   (203)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | | |          all_590_1
% 39.33/5.94  | | | | | | | | | | | | | | | | |   (204)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | | |          all_590_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (205)  all_45_0 = 0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | REDUCE: (53), (205) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (206)  $false
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (207)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.94  | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_5, all_59_1) = v1 &
% 39.33/5.94  | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_2) = v2 &
% 39.33/5.94  | | | | | | | | | | | | | | | | | |            distinct_lines(all_59_1, all_38_2) = v0 & ( ~
% 39.33/5.94  | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | DELTA: instantiating (207) with fresh symbols all_600_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | |        all_600_1, all_600_2 gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (208)  apart_point_and_line(all_38_5, all_59_1) =
% 39.33/5.94  | | | | | | | | | | | | | | | | | |          all_600_1 & apart_point_and_line(all_38_5,
% 39.33/5.94  | | | | | | | | | | | | | | | | | |            all_38_2) = all_600_0 & distinct_lines(all_59_1,
% 39.33/5.94  | | | | | | | | | | | | | | | | | |            all_38_2) = all_600_2 & ( ~ (all_600_2 = 0) |
% 39.33/5.94  | | | | | | | | | | | | | | | | | |            all_600_0 = 0 | all_600_1 = 0)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (209)  distinct_lines(all_59_1, all_38_2) = all_600_2
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (210)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | | | |          all_600_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (211)  apart_point_and_line(all_38_5, all_59_1) =
% 39.33/5.94  | | | | | | | | | | | | | | | | | |          all_600_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | |   (212)   ~ (all_600_2 = 0) | all_600_0 = 0 | all_600_1 = 0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (213)  all_55_0 = 0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | REDUCE: (140), (213) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (214)  $false
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | CLOSE: (214) is inconsistent.
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (215)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_3,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2) = v3 &
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_59_1) = v2 &
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |            distinct_lines(all_59_1, all_38_2) = v1 &
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_5, all_38_3) = v0 & ( ~
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | DELTA: instantiating (215) with fresh symbols all_614_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |        all_614_1, all_614_2, all_614_3 gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (216)  apart_point_and_line(all_38_3, all_38_2) =
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |          all_614_0 & apart_point_and_line(all_38_5,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |            all_59_1) = all_614_1 & distinct_lines(all_59_1,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |            all_38_2) = all_614_2 &
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_5, all_38_3) = all_614_3 &
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |          ( ~ (all_614_2 = 0) |  ~ (all_614_3 = 0) |
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |            all_614_0 = 0 | all_614_1 = 0)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (217)  distinct_lines(all_59_1, all_38_2) = all_614_2
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (218)  apart_point_and_line(all_38_5, all_59_1) =
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |          all_614_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_369_2, all_614_2,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_59_1, simplifying with (173), (217)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (219)  all_614_2 = all_369_2
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_600_2, all_614_2,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_59_1, simplifying with (209), (217)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (220)  all_614_2 = all_600_2
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_55_0, all_590_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (61), (204)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (221)  all_590_0 = all_55_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_534_0, all_590_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (179), (204)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (222)  all_590_0 = all_534_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_534_1, all_590_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (178), (204)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (223)  all_590_0 = all_534_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_590_0, all_600_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (204), (210)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (224)  all_600_0 = all_590_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_590_1, all_600_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (203), (210)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (225)  all_600_0 = all_590_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_67_0, all_614_1,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_59_1, all_38_5, simplifying with (134), (218)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (226)  all_614_1 = all_67_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_600_1, all_614_1,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_59_1, all_38_5, simplifying with (211), (218)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (227)  all_614_1 = all_600_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_61_0, all_576_1,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_4, simplifying with (131), (198)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (228)  all_576_1 = all_61_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_576_1, all_576_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_4, simplifying with (198), (199)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (229)  all_576_0 = all_576_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_544_0, all_576_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_4, simplifying with (187), (199)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (230)  all_576_0 = all_544_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_57_0, all_544_1,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_53_1, all_38_4, simplifying with (132), (188)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (231)  all_544_1 = all_57_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_53_0, all_554_0,
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              all_53_1, all_38_3, simplifying with (57), (193)
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (232)  all_554_0 = all_53_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (227) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (233)  all_600_1 = all_67_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (220) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (234)  all_600_2 = all_369_2
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (224), (225) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (235)  all_590_0 = all_590_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | SIMP: (235) implies:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (236)  all_590_0 = all_590_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (221), (236) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (237)  all_590_1 = all_55_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (236) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (238)  all_590_1 = all_534_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (222), (236) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (239)  all_590_1 = all_534_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (239) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (240)  all_534_0 = all_534_1
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (239) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (241)  all_534_0 = all_55_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (229), (230) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (242)  all_576_1 = all_544_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | SIMP: (242) implies:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (243)  all_576_1 = all_544_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (228), (243) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (244)  all_544_0 = all_61_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (241) imply:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (245)  all_534_1 = all_55_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | SIMP: (245) implies:
% 39.33/5.94  | | | | | | | | | | | | | | | | | | |   (246)  all_534_1 = all_55_0
% 39.33/5.94  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (225), (237) imply:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | |   (247)  all_600_0 = all_55_0
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (248)   ~ (all_600_2 = 0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (248) imply:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (249)   ~ (all_369_2 = 0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_5, all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_2, simplifying with (23), (24),
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (26), (27), (28), (159) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (250)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_2) = v3 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_1) = v0 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_2) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_3, all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1, all_53_1, all_53_0, all_57_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              simplifying with (24), (25), (27), (57), (132),
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (136), (158) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (251)  all_57_0 = 0 | all_53_0 = 0 |  ? [v0: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] :
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_3, all_38_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_3, all_38_4) = v0 & ( ~
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_4, all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1, all_53_1, all_57_0, all_57_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              simplifying with (24), (27), (132), (136), (158)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (252)  all_57_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_4, all_38_4) = v0 & ( ~
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_5, all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1, all_53_1, simplifying with (23), (24),
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (27), (28), (136), (158) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (253)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_53_1) = v3 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_53_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_1) = v0 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_5, all_38_5,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1, all_59_1, all_67_0, all_67_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              simplifying with (23), (27), (134), (135), (154)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (254)  all_67_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_5,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_5, all_38_5) = v0 & ( ~
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_4, all_38_3,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1, all_59_1, simplifying with (24), (25),
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (27), (30), (135), (154) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (255)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_3,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_59_1) = v3 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_3, all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_59_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v0 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_5, all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_1, all_59_1, simplifying with (23), (24),
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (27), (28), (135), (154) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (256)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          [v3: any] : (apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_59_1) = v3 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_59_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_1) = v0 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_38_4, all_59_1,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_38_2, all_369_2, all_61_0, simplifying with
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              (24), (26), (131), (135), (173) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (257)  all_369_2 = 0 | all_61_0 = 0 |  ? [v0: int] : ( ~
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            (v0 = 0) & apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |              all_59_1) = v0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (255) with fresh symbols all_636_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |        all_636_1, all_636_2, all_636_3 gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (258)  apart_point_and_line(all_38_3, all_59_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_636_0 & apart_point_and_line(all_38_3,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_636_1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          apart_point_and_line(all_38_4, all_59_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_636_2 & apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_636_3 & (all_636_0 = 0 |
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_636_1 = 0 | all_636_2 = 0 | all_636_3 = 0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (259)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_636_3
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (250) with fresh symbols all_638_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |        all_638_1, all_638_2, all_638_3 gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (260)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_638_1 & apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_638_0 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          apart_point_and_line(all_38_5, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_638_3 & apart_point_and_line(all_38_5,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_2) = all_638_2 & (all_638_0 = 0 |
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_638_1 = 0 | all_638_2 = 0 | all_638_3 = 0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (261)  apart_point_and_line(all_38_5, all_38_2) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_638_2
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (262)  apart_point_and_line(all_38_5, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_638_3
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (263)  apart_point_and_line(all_38_4, all_38_2) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_638_0
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (264)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_638_1
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (265)  all_638_0 = 0 | all_638_1 = 0 | all_638_2 = 0 |
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_638_3 = 0
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (256) with fresh symbols all_640_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |        all_640_1, all_640_2, all_640_3 gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (266)  apart_point_and_line(all_38_4, all_59_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_640_0 & apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_640_1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          apart_point_and_line(all_38_5, all_59_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_640_2 & apart_point_and_line(all_38_5,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_640_3 & (all_640_0 = 0 |
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_640_1 = 0 | all_640_2 = 0 | all_640_3 = 0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (267)  apart_point_and_line(all_38_5, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_640_3
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (268)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_640_1
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (253) with fresh symbols all_642_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |        all_642_1, all_642_2, all_642_3 gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (269)  apart_point_and_line(all_38_4, all_53_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_642_0 & apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_642_1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          apart_point_and_line(all_38_5, all_53_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_642_2 & apart_point_and_line(all_38_5,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_642_3 & (all_642_0 = 0 |
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |            all_642_1 = 0 | all_642_2 = 0 | all_642_3 = 0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | ALPHA: (269) implies:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (270)  apart_point_and_line(all_38_5, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_642_3
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |   (271)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | |          all_642_1
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |   (272)  all_57_0 = 0
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (272) imply:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |   (273)  $false
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | CLOSE: (273) is inconsistent.
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |   (274)  all_53_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ?
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |          [v2: any] : (apart_point_and_line(all_38_3,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |              all_38_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_3, all_38_4) = v0 & ( ~
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |   (275)  all_53_0 = 0
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (275) imply:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |   (276)  $false
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |   (277)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_3, all_38_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_3, all_38_4) = v0 & ( ~
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (277) with fresh symbols all_683_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |        all_683_1, all_683_2 gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |   (278)  apart_point_and_line(all_38_3, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |          all_683_1 & apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_683_0 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_3, all_38_4) = all_683_2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_683_2 = 0) | all_683_0 = 0 | all_683_1 =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |            0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |   (279)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | |          all_683_0
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_57_0 = 0
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (280) imply:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (281)  $false
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent.
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (282)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_4, all_38_1) = v2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_4, all_38_1) = v1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_4, all_38_4) = v0 & ( ~
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (282) with fresh symbols all_696_0,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |        all_696_1, all_696_2 gives:
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (283)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |          all_696_0 & apart_point_and_line(all_38_4,
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_696_1 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_4, all_38_4) = all_696_2 &
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_696_2 = 0) | all_696_0 = 0 | all_696_1 =
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | |            0)
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.95  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | |   (284)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | |          all_696_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | |   (285)  apart_point_and_line(all_38_4, all_38_1) =
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | |          all_696_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_67_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (286) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |   (287)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (287) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |   (288)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |          (apart_point_and_line(all_38_5, all_38_1) = v2 &
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |            apart_point_and_line(all_38_5, all_38_1) = v1 &
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |            distinct_points(all_38_5, all_38_5) = v0 & ( ~
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |              (v0 = 0) | v2 = 0 | v1 = 0))
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (288) with fresh symbols all_715_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |        all_715_1, all_715_2 gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |   (289)  apart_point_and_line(all_38_5, all_38_1) =
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |          all_715_0 & apart_point_and_line(all_38_5,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |            all_38_1) = all_715_1 &
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |          distinct_points(all_38_5, all_38_5) = all_715_2 &
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_715_2 = 0) | all_715_0 = 0 | all_715_1 =
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |            0)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |   (290)  apart_point_and_line(all_38_5, all_38_1) =
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |          all_715_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |   (291)  apart_point_and_line(all_38_5, all_38_1) =
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | |          all_715_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_369_2 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (292) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_55_0, all_638_2,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_5, simplifying with (61), (261)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_638_2 = all_55_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_640_3, all_642_3,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_5, simplifying with (267), (270)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_642_3 = all_640_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_69_0, all_715_1,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_5, simplifying with (90), (290)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_715_1 = all_69_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_3, all_715_1,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_5, simplifying with (270), (290)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_715_1 = all_642_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_3, all_715_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_5, simplifying with (270), (291)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_715_0 = all_642_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_638_3, all_715_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_5, simplifying with (262), (291)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_715_0 = all_638_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_61_0, all_638_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_2, all_38_4, simplifying with (131), (263)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_638_0 = all_61_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_1, all_683_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_4, simplifying with (271), (279)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_683_0 = all_642_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_636_3, all_683_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_4, simplifying with (259), (279)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_683_0 = all_636_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_63_0, all_696_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_4, simplifying with (77), (285)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_696_0 = all_63_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_696_1, all_696_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_4, simplifying with (284), (285)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_696_0 = all_696_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_1, all_696_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_4, simplifying with (271), (285)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_696_0 = all_642_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_640_1, all_696_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_4, simplifying with (268), (285)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_696_0 = all_640_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_638_1, all_696_0,
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              all_38_1, all_38_4, simplifying with (264), (285)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_696_0 = all_638_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (299) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_642_3 = all_638_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_642_3 = all_638_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (297) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_642_3 = all_69_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (310) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_642_3 = all_69_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (307) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_696_1 = all_638_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (305) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_696_1 = all_642_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (306) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_696_1 = all_640_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (304) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_696_1 = all_63_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (314) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_640_1 = all_638_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (314) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_642_1 = all_640_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (317) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_642_1 = all_640_1
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (315) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_640_1 = all_63_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (302) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_642_1 = all_636_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_642_1 = all_636_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (321) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_640_1 = all_636_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_640_1 = all_636_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (311) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_640_3 = all_69_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (309) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_640_3 = all_638_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (323) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_638_1 = all_636_3
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (319) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_638_1 = all_63_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (325) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_638_3 = all_69_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (327) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_636_3 = all_63_0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)   ~ (all_63_0 = 0)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_638_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (331) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_61_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (332) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_61_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (333) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_638_1 = 0 | all_638_2 = 0 | all_638_3 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_638_1 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (327), (336) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_63_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (337) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_63_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (338) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (339) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_638_2 = 0 | all_638_3 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_638_2 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (341) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_55_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (342) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_55_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (343) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_638_3 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (345) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_69_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (346) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_69_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)   ~ (all_69_0 = 0)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (348) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)   ~ (all_69_1 = 0)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (350) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)   ~ (all_63_1 = 0)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (142), (351), (apart1) are inconsistent by
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)   ~ (all_63_1 = 0)
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (142), (352), (apart1) are inconsistent by
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | |   (353)  all_600_0 = 0 | all_600_1 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | Case 1:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (354)  all_600_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (354) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (355)  all_55_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | SIMP: (355) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (356)  all_55_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (356) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (357)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | CLOSE: (357) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (358)  all_600_1 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (358) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (359)  all_67_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | SIMP: (359) implies:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (360)  all_67_0 = 0
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (360) imply:
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | |   (361)  $false
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent.
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | | 
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.96  | | | | | | | | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | | 
% 39.33/5.97  | | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | | 
% 39.33/5.97  | | | | | | | | End of split
% 39.33/5.97  | | | | | | | | 
% 39.33/5.97  | | | | | | | End of split
% 39.33/5.97  | | | | | | | 
% 39.33/5.97  | | | | | | Case 2:
% 39.33/5.97  | | | | | | | 
% 39.33/5.97  | | | | | | |   (362)  all_45_0 = 0
% 39.33/5.97  | | | | | | | 
% 39.33/5.97  | | | | | | | REDUCE: (53), (362) imply:
% 39.33/5.97  | | | | | | |   (363)  $false
% 39.33/5.97  | | | | | | | 
% 39.33/5.97  | | | | | | | CLOSE: (363) is inconsistent.
% 39.33/5.97  | | | | | | | 
% 39.33/5.97  | | | | | | End of split
% 39.33/5.97  | | | | | | 
% 39.33/5.97  | | | | | Case 2:
% 39.33/5.97  | | | | | | 
% 39.33/5.97  | | | | | |   (364)  all_53_0 = 0
% 39.33/5.97  | | | | | | 
% 39.33/5.97  | | | | | | REDUCE: (56), (364) imply:
% 39.33/5.97  | | | | | |   (365)  $false
% 39.33/5.97  | | | | | | 
% 39.33/5.97  | | | | | | CLOSE: (365) is inconsistent.
% 39.33/5.97  | | | | | | 
% 39.33/5.97  | | | | | End of split
% 39.33/5.97  | | | | | 
% 39.33/5.97  | | | | End of split
% 39.33/5.97  | | | | 
% 39.33/5.97  | | | Case 2:
% 39.33/5.97  | | | | 
% 39.33/5.97  | | | |   (366)  all_59_0 = 0
% 39.33/5.97  | | | | 
% 39.33/5.97  | | | | REDUCE: (68), (366) imply:
% 39.33/5.97  | | | |   (367)  $false
% 39.33/5.97  | | | | 
% 39.33/5.97  | | | | CLOSE: (367) is inconsistent.
% 39.33/5.97  | | | | 
% 39.33/5.97  | | | End of split
% 39.33/5.97  | | | 
% 39.33/5.97  | | Case 2:
% 39.33/5.97  | | | 
% 39.33/5.97  | | |   (368)   ~ (all_65_1 = 0)
% 39.33/5.97  | | | 
% 39.33/5.97  | | | REDUCE: (107), (368) imply:
% 39.33/5.97  | | |   (369)  $false
% 39.33/5.97  | | | 
% 39.33/5.97  | | | CLOSE: (369) is inconsistent.
% 39.33/5.97  | | | 
% 39.33/5.97  | | End of split
% 39.33/5.97  | | 
% 39.33/5.97  | Case 2:
% 39.33/5.97  | | 
% 39.33/5.97  | |   (370)  all_38_0 = 0
% 39.33/5.97  | | 
% 39.33/5.97  | | REDUCE: (22), (370) imply:
% 39.33/5.97  | |   (371)  $false
% 39.33/5.97  | | 
% 39.33/5.97  | | CLOSE: (371) is inconsistent.
% 39.33/5.97  | | 
% 39.33/5.97  | End of split
% 39.33/5.97  | 
% 39.33/5.97  End of proof
% 39.33/5.97  
% 39.33/5.97  Sub-proof #1 shows that the following formulas are inconsistent:
% 39.33/5.97  ----------------------------------------------------------------
% 39.33/5.97    (1)  all_63_1 = 0 | distinct_points(all_38_5, all_38_5) = 0
% 39.33/5.97    (2)   ! [v0: $i] : ( ~ (distinct_points(v0, v0) = 0) |  ~ $i(v0))
% 39.33/5.97    (3)  $i(all_38_5)
% 39.33/5.97    (4)   ~ (all_63_1 = 0)
% 39.33/5.97  
% 39.33/5.97  Begin of proof
% 39.33/5.97  | 
% 39.33/5.97  | BETA: splitting (1) gives:
% 39.33/5.97  | 
% 39.33/5.97  | Case 1:
% 39.33/5.97  | | 
% 39.33/5.97  | |   (5)  distinct_points(all_38_5, all_38_5) = 0
% 39.33/5.97  | | 
% 39.33/5.97  | | GROUND_INST: instantiating (2) with all_38_5, simplifying with (3), (5)
% 39.33/5.97  | |              gives:
% 39.33/5.97  | |   (6)  $false
% 39.33/5.97  | | 
% 39.33/5.97  | | CLOSE: (6) is inconsistent.
% 39.33/5.97  | | 
% 39.33/5.97  | Case 2:
% 39.33/5.97  | | 
% 39.33/5.97  | |   (7)  all_63_1 = 0
% 39.33/5.97  | | 
% 39.33/5.97  | | REDUCE: (4), (7) imply:
% 39.33/5.97  | |   (8)  $false
% 39.33/5.97  | | 
% 39.33/5.97  | | CLOSE: (8) is inconsistent.
% 39.33/5.97  | | 
% 39.33/5.97  | End of split
% 39.33/5.97  | 
% 39.33/5.97  End of proof
% 39.33/5.97  % SZS output end Proof for theBenchmark
% 39.33/5.97  
% 39.33/5.97  5361ms
%------------------------------------------------------------------------------